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thousands digit of 7122982? 2 What is the millions digit of 5976041? 5 What is the hundred thousands digit of 2096234? 0 What is the thousands digit of 908092? 8 What is the units digit of 10421375? 5 What is the hundreds digit of 456757? 7 What is the units digit of 708008? 8 What is the units digit of 7718898? 8 What is the units digit of 201429? 9 What is the thousands digit of 39601? 9 What is the hundreds digit of 22970916? 9 What is the tens digit of 2932284? 8 What is the millions digit of 1759850? 1 What is the tens digit of 200935? 3 What is the units digit of 2559562? 2 What is the thousands digit of 490671? 0 What is the thousands digit of 155717? 5 What is the ten thousands digit of 6297952? 9 What is the units digit of 985090? 0 What is the hundreds digit of 9855403? 4 What is the ten thousands digit of 518691? 1 What is the hundreds digit of 1611035? 0 What is the hundred thousands digit of 191756? 1 What is the hundreds digit of 3609058? 0 What is the ten thousands digit of 448490? 4 What is the thousands digit of 15148102? 8 What is the units digit of 502713? 3 What is the hundred thousands digit of 22892053? 8 What is the thousands digit of 2819126? 9 What is the units digit of 460486? 6 What is the thousands digit of 222285? 2 What is the hundreds digit of 70571? 5 What is the units digit of 2087401? 1 What is the tens digit of 244975? 7 What is the tens digit of 1760655? 5 What is the units digit of 26818598? 8 What is the thousands digit of 1242598? 2 What is the hundred thousands digit of 1038816? 0 What is the ten thousands digit of 709891? 0 What is the hundred thousands digit of 324612? 3 What is the ten millions digit of 23307933? 2 What is the ten thousands digit of 965357? 6 What is the millions digit of 2332672? 2 What is the millions digit of 6206622? 6 What is the tens digit of 2227325? 2 What is the millions digit of 20358974? 0 What is the hundred thousands digit of 2503268? 5 What is the units digit of 216462? 2 What is the hundred thousands digit of 30851132? 8 What is the units digit of 165100? 0 What is the thousands digit of 651737? 1 What is the hundreds digit of 50732? 7 What is the ten thousands digit of 3133191? 3 What is the units digit of 2080082? 2 What is the hundreds digit of 605294? 2 What is the tens digit of 1131387? 8 What is the thousands digit of 1837473? 7 What is the units digit of 2838326? 6 What is the thousands digit of 174135? 4 What is the millions digit of 1645326? 1 What is the millions digit of 1039710? 1 What is the thousands digit of 4272530? 2 What is the hundreds digit of 867399? 3 What is the ten thousands digit of 66886? 6 What is the hundreds digit of 2657719? 7 What is the thousands digit of 171212? 1 What is the hundred thousands digit of 3035846? 0 What is the units digit of 613500? 0 What is the units digit of 727895? 5 What is the thousands digit of 257910? 7 What is the thousands digit of 409263? 9 What is the ten thousands digit of 287782? 8 What is the hundred thousands digit of 577188? 5 What is the hundreds digit of 2500686? 6 What is the hundreds digit of 2988107? 1 What is the tens digit of 92531? 3 What is the ten thousands digit of 170577? 7 What is the thousands digit of 1371311? 1 What is the ten thousands digit of 56240? 5 What is the hundreds digit of 4988? 9 What is the ten thousands digit of 115225? 1 What is the units digit of 1057911? 1 What is the units digit of 344121? 1 What is the hundreds digit of 13374722? 7 What is the units digit of 251783? 3 What is the hundred thousands digit of 10359065? 3 What is the ten thousands digit of 11179489? 7 What is the tens digit of 926429? 2 What is the hundred thousands digit of 382667? 3 What is the hundred thousands digit of 2668093? 6 What is the thousands digit of 4456724? 6 What is the tens digit of 1641374? 7 What is the ten thousands digit of 10236096? 3 What is the thousands digit of 18735159? 5 What is the ten thousands digit of 385439? 8 What is the thousands digit of 25428? 5 What is the tens digit of 128458? 5 What is the hundred thousands digit of 1131448? 1 What is the hundred thousands digit of 3217667? 2 What is the units digit of 5494358? 8 What is the units digit of 85674? 4 What is the hundreds digit of 15806970? 9 What is the thousands digit of 5196331? 6 What is the units digit of 8707928? 8 What is the thousands digit of 17913809? 3 What is the tens digit of 514515? 1 What is the ten thousands digit of 62060? 6 What is the hundreds digit of 2575826? 8 What is the units digit of 9613825? 5 What is the thousands digit of 184942? 4 What is the units digit of 222329? 9 What is the hundred thousands digit of 515088? 5 What is the hundred thousands digit of 460430? 4 What is the hundred thousands digit of 3899862? 8 What is the millions digit of 22080699? 2 What is the units digit of 141481? 1 What is the millions digit of 11893007? 1 What is the hundred thousands digit of 437285? 4 What is the hundred thousands digit of 276164? 2 What is the tens digit of 3393748? 4 What is the thousands digit of 25482673? 2 What is the hundreds digit of 9943885? 8 What is the units digit of 27557? 7 What is the hundreds digit of 402120? 1 What is the thousands digit of 38334? 8 What is the hundred thousands digit of 549919? 5 What is the hundred thousands digit of 11116222? 1 What is the hundred thousands digit of 3789114? 7 What is the hundred thousands digit of 120893? 1 What is the hundreds digit of 24230? 2 What is the ten thousands digit of 535968? 3 What is the tens digit of 8352166? 6 What is the millions digit of 2580532? 2 What is the hundreds digit of 409679? 6 What is the hundred thousands digit of 20463411? 4 What is the hundreds digit of 1507273? 2 What is the hundreds digit of 1649154? 1 What is the thousands digit of 2445661? 5 What is the units digit of 6243? 3 What is the hundreds digit of 224184? 1 What is the ten thousands digit of 5705499? 0 What is the tens digit of 969918? 1 What is the thousands digit of 4325459? 5 What is the millions digit of 5013628? 5 What is the millions digit of 1184345? 1 What is the ten thousands digit of 108951? 0 What is the tens digit of 187264? 6 What is the ten millions digit of 14878299? 1 What is the millions digit of 4877451? 4 What is the millions digit of 3172564? 3 What is the tens digit of 116765? 6 What is the hundreds digit of 164516? 5 What is the ten thousands digit of 1495640? 9 What is the millions digit of 4999388? 4 What is the hundred thousands digit of 4090312? 0 What is the units digit of 2409776? 6 What is the hundred thousands digit of 4604947? 6 What is the hundred thousands digit of 1268752? 2 What is the thousands digit of 34915322? 5 What is the units digit of 455940? 0 What is the tens digit of 169204? 0 What is the tens digit of 24308639? 3 What is the hundreds digit of 6574221? 2 What is the hundreds digit of 169498? 4 What is the millions digit of 1986438? 1 What is the tens digit of 12674400? 0 What is the hundreds digit of 91743? 7 What is the tens digit of 912409? 0 What is the tens digit of 602149? 4 What is the ten thousands digit of 586555? 8 What is the thousands digit of 1235753? 5 What is the hundreds digit of 453676? 6 What is the tens digit of 2201210? 1 What is the hundred thousands digit of 6206502? 2 What is the ten thousands digit of 105507? 0 What is the thousands digit of 127563? 7 What is the tens digit of 7352156? 5 What is the thousands digit of 1365507? 5 What is the tens digit of 27248973? 7 What is the hundred thousands digit of 149675? 1 What is the millions digit of 1124164? 1 What is the millions digit of 2288294? 2 What is the hundred thousands digit of 10695245? 6 What is the hundred thousands digit of 178524? 1 What is the hundreds digit of 308526? 5 What is the tens digit of 383561? 6 What is the tens digit of 116924? 2 What is the hundreds digit of 11101665? 6 What is the thousands digit of 489658? 9 What is the units digit of 1787820? 0 What is the ten thousands digit of 2141335? 4 What is the hundreds digit of 64135? 1 What is the hundreds digit of 2394138? 1 What is the millions digit of 8706871? 8 What is the units digit of 4119970? 0 What is the tens digit of 644157? 5 What is the thousands
{ "pile_set_name": "DM Mathematics" }
-0.5? -0.5 What is the closest to 2 in 13, -5, 642, 0? 0 Which is the nearest to -24? (a) 5 (b) -2/13 (c) -979 b Which is the closest to 24379? (a) -2/13 (b) -0.2 (c) 3 c What is the nearest to -1/380 in 33, 2, -1/9? -1/9 What is the closest to -6 in -9, 3/10, -1.3, 5, -0.2? -9 What is the nearest to 0 in -5, -1/3, 0.6, -7/6, 6? -1/3 What is the closest to -1.2 in -1, 0.5, 199, 1? -1 What is the closest to 1 in -97, -1434, 1? 1 What is the nearest to -1 in -155, 1, 1/3, 0.061? 0.061 What is the nearest to 0.1 in -2/5, -4, 0.3, -1.6687? 0.3 Which is the closest to 1? (a) -6 (b) -885 (c) 4/9 c Which is the nearest to 5? (a) 0.4 (b) 0.1 (c) -0.1 (d) -0.043 a What is the nearest to -180 in 2/65, 1/2, -1/4, 2? -1/4 Which is the nearest to -2/37? (a) -2 (b) 0.4 (c) 0.1 (d) 4/5 (e) 4 c What is the nearest to -41 in -3, 0.5, -7/4, -8? -8 What is the nearest to -2/15 in -0.07, 6, -54? -0.07 What is the nearest to -1 in 1, 2, -10445? 1 Which is the nearest to 9? (a) -40 (b) -1/6 (c) -0.015 c What is the closest to -1 in 10, 0.02, 4/9, -0.5? -0.5 What is the closest to -1 in 0.1, 8, -37, -21? 0.1 Which is the closest to -0.09? (a) -5 (b) -207 (c) 2/3 (d) -2 c What is the closest to -56/11 in -4, -0.128, 1, -0.1? -4 What is the nearest to -1142 in 2/7, 2/5, 1, -1? -1 What is the nearest to 0 in 1/4, 4, -1/9, -0.5, 0.6032? -1/9 Which is the closest to 1? (a) -1/5 (b) 3/7 (c) 2/13 (d) 7 b What is the closest to 2 in -2/7, -1, 26/3, -0.1? -0.1 Which is the closest to 4/3? (a) -2/15 (b) 5 (c) -2 (d) -6 a What is the closest to 0 in 4956, -52, 3, 0, -2? 0 What is the closest to 2 in -2, -160.2, 3, -0.3, 189/4? 3 What is the nearest to -3 in -4/73, 0, -1/4, -5? -5 What is the closest to -6 in -4, 2/7, -10/9? -4 What is the nearest to 0 in -177, -0.05, 1, 0.4? -0.05 Which is the closest to -1? (a) -76/7 (b) -2220 (c) 1/2 c Which is the closest to 1/7? (a) 0.3 (b) 0.111 (c) 50 (d) 0 b Which is the nearest to -1/6? (a) -93 (b) -1/6 (c) 2 b Which is the nearest to -2/3? (a) 13/334 (b) 3/5 (c) 2/5 (d) 0.3 a What is the closest to 6 in -23, 1, 79/5, -1? 1 What is the closest to -2/37 in -1/11, -4, -0.5, 0.6? -1/11 Which is the nearest to 21? (a) 0.1 (b) -1/6 (c) -4 (d) -82 (e) 1 e Which is the nearest to 1/2? (a) 0 (b) -142 (c) -0.3 (d) 7 (e) -3 a What is the closest to 0 in 243/5, -5, 0.3, 4? 0.3 Which is the nearest to -1/3? (a) 0.218 (b) -858 (c) -4 (d) -2 a What is the closest to 9 in 2/33, 3/5, -0.3? 3/5 Which is the nearest to -0.167? (a) 3/5 (b) 11 (c) -1/4 (d) -3 (e) -0.5 c Which is the nearest to 2/9? (a) -0.01 (b) -0.29 (c) 0.4 (d) -33 c What is the closest to -1 in 0.25, -5, -8/7, 1/2? -8/7 What is the closest to 0.3 in 0.3, 0.29, -5, 1? 0.3 Which is the closest to -2/7? (a) -2.04 (b) 0.1 (c) 26.87 b Which is the closest to 5/3? (a) -21.2 (b) -0.3 (c) -0.2 (d) -0.1 (e) -2/5 d Which is the closest to 2/229? (a) -5 (b) 0.5 (c) -2/39 (d) -4 (e) -0.5 c What is the closest to -23 in 1, -0.0131, -2/5? -2/5 Which is the nearest to 19? (a) -0.08 (b) 2/5 (c) 0 (d) 2 (e) 0.04 d Which is the closest to 0.1? (a) -248 (b) -1/6 (c) 1 (d) 333 b Which is the nearest to -1.283? (a) 1 (b) 3 (c) -0.3 c What is the nearest to 45 in -0.6, -0.3, -1/6? -1/6 What is the nearest to -0.03 in 3.6, 5, 4, -1? -1 Which is the closest to -1? (a) 6/11 (b) 0 (c) -2/21 (d) 3 (e) 0.3 c Which is the nearest to 2/3? (a) 0.1 (b) -3 (c) 125 (d) -1/9 a Which is the nearest to 1/2? (a) 2 (b) 1 (c) -0.4 (d) -521 (e) -8 b Which is the nearest to 0? (a) 2/7 (b) 1 (c) 0.09 (d) -7 (e) 15/68 c Which is the nearest to 63? (a) -0.1 (b) 1/4 (c) -2/29 (d) -4 (e) -2/21 b What is the closest to -1 in -1/2, 0.07641, 0? -1/2 What is the closest to 8/9 in -2/7, 0.1, -3/11? 0.1 Which is the nearest to 0.249? (a) -1/3 (b) -0.3 (c) -76 b Which is the nearest to 13/3? (a) 0.3 (b) -3/2 (c) -5 a What is the closest to -2/7 in -94, 1, 5.6? 1 Which is the closest to -2? (a) -8 (b) 1 (c) -2 (d) -2/59 c What is the closest to 1 in 0.569, 1/6, -1/2? 0.569 What is the nearest to 1257 in -13, -2/11, -5, 0.2? 0.2 Which is the closest to -0.1? (a) 4 (b) 2/5 (c) 0.418 (d) -5 (e) 7/6 b What is the nearest to -18 in 4/3, 5/8, 2? 5/8 Which is the closest to 1/25? (a) 0.21 (b) -9 (c) -3 a Which is the nearest to 31? (a) -1/4 (b) 32 (c) -1/11 (d) 0.5 (e) 3 b Which is the nearest to -2/91? (a) -2/11 (b) 172/7 (c) 1/4 a Which is the nearest to -2? (a) 0.4 (b) 7/25 (c) 1 (d) -2/3 (e) 2/19 d What is the closest to -0.09 in 3/8, -3/5, -10.4, -0.4? -0.4 Which is the nearest to -3? (a) -1 (b) 0.4 (c) -0.2 (d) 3 (e) 319/2 a Which is the nearest to 0? (a) 23 (b) 24 (c) -2/3 (d) 1 (e) -0.7 c What is the nearest to 1/2 in 2/17, -82, -54/13, 0.2? 0.2 Which is the nearest to -1/32? (a) 0.1 (b) -1/1325 (c) -3 (d) -3/5 b What is the nearest to 1/37 in -1, 2, -5, 27? -1 Which is the closest to 1/3? (a) 34 (b) -2 (c) 9 (d) -3 (e) -2.3 b Which is the closest to 1/11? (a) -4 (b) 4 (c) -0.5 (d) 77/3 c What is the closest to -0.1 in -4/7, -21, 0.1, 2/13? 0.1 Which is the closest to -29? (a) -2/25 (b) -4/7 (c) 2 (d) -0.4 (e) 5/6 b What is the nearest to -0.276 in 2/7, -3, -365? 2/7 What is the closest to 5 in -2/19, 12, -195? -2/19 Which is the closest to -1.667? (a) -5 (b) -0.2 (c) -3 c What is the nearest to 4 in 1, 1/2, -9, -8, -2/3? 1 What is the nearest to 1/2 in -3/4, -208, 10/7, -4? 10/7 Which is the nearest to -5? (a) 1/327 (b) -0.5 (c) 9 b Which is the nearest to 68? (a) -5/3 (b) 5 (c) -0.1 b What is the closest to -0.2 in 0.3, 0.5, 5, 0.4, -34/19? 0.3 What is the closest to 0 in 3/24208, -1, -2, -3? 3/24208 Which is the closest to 12.05? (a) 3 (b) 4 (c) -2 (d) -2/7 (e) 25 b Which is the closest to 7? (a) 16/7 (b) -18 (c) -0.5 (d) -2/19 (e) -2/9 a Which is the closest to 0.1? (a) -25 (b) 2870 (c) -0.1 (d) 0.5 c What is the closest to -1 in -1, -0.5, 33987? -1 Which is the nearest to 1/6? (a) 2 (b) -1 (c) -230 (d) -3/5 d Which is the nearest to 2? (a) -1 (b) -3/19 (c) 3 c Which is the nearest to 0.1? (a) 3 (b) -232 (c) -1 (d) 8 c Which is the nearest to 1/2? (a) 0 (b) 2 (c) -4 (d) 5/3 (e) 0.331 e What is the nearest to -1 in 0.04, -5, 4, 2/23? 0.04 What is the closest to -1 in 21, -5, -24.82, -0.1? -0.1 Which is the closest to -1/7? (a) -0.5 (b) 0.04 (c) -1 (d) 2/19 (e) 1.7 b Which is the nearest to 0.2442? (a) 2/5 (b) -0.06 (c) 5/4 (d) 0 a What is the nearest to -1 in 0.12, 2/9, -2/9, 101, -3? -2/9 Which is the closest to -35? (a) -14 (b) -2 (c) 3 a Which is the closest to -1? (a) 0.3 (b) -5 (c) 5 (d) -0.3316 (e) -1 e What is the closest to -35984.2 in -5, 5, -7? -7 Which is the closest to -1? (a) -2/17 (b) -0.13 (c) -0.4 (d) 9351 c Which is the closest to 0.2? (a) 2/31 (b) -1/3 (c) 78 (d) 1 a What is the nearest to -1/2 in -39.098, -2, -1/4? -1/4 What is the nearest to -3/193 in 3, -5, -0.5, -0.2? -0.2 Which is the nearest to -4? (a) -0.3 (b) 1/9 (c) 3 (d) -2/15 (e) 4/53 a What is the closest to 6 in -2/11, 113, 1, -2/5? 1 Which is the nearest to -4? (a) 121 (b) -1.2 (c) -3 c Which is the nearest to 6? (a) 0.4 (b) 1 (c) -2/53 (d) -8 (e) -6 b What is the nearest to -3/5 in 2, 5, 55/6, 7/20, -4? 7/20 What is the closest to 380/11 in -2, -1, -2/37, -0.5? -2/37 Which is the nearest to 1/87? (a) -1/10 (b) -4 (c) -1 (d) -10/3 a Which is the closest to -5? (a) 0 (b) -0.24 (c) 3/8 (d) 0.2 (e) -1/2 e What is the nearest to 9 in 19090, -5, -2, -4? -2 Which is the nearest to -34? (a) -3/7 (b) 45 (c) 5 (d) -12 d Which is the nearest to -13? (a) -0.7 (b) -2 (c) -7 (d) -5 c What is the nearest to 2 in 7, -0.08, -0.3, -6/31? -0.08 Which is the closest to 0.1? (a) 1/10 (b) 32 (c) -4 (d) 38 (e) -118 a What is the closest to -0.1 in -0.9, -0.4, 0.617, 0.5, -0.3? -0.3 Which is the closest to -369? (a) 1 (b) 2 (c) 1.7 (d) -3/7 d Which is the nearest to 10? (a) 2/7 (b) -0.5 (c) 261 a What is the nearest to 0 in 3, -0.04, 695, 0.11? -0.04 Which is the closest to 0? (a) -0.06 (b) 0 (c) -7/8 (d) -5 b What is the nearest to -1 in 20/11, 44, 7/8, 3? 7/8 What is the closest to 0.1
{ "pile_set_name": "DM Mathematics" }
vative of -z**5/100 + z**4/4 - 8*z**3/5 + 9*z**2/2 - 20. Let h(f) be the second derivative of r(f). Factor h(w). -3*(w - 8)*(w - 2)/5 Let s be ((-4)/(-8)*6 - 4)*-89. Let q = s + -87. Suppose -3*l**3 - 205*l**q + 12 + 100*l**2 + 96*l**2 = 0. What is l? -2, 1 Solve 2/9*t**5 + 0*t + 0 + 2/3*t**4 + 0*t**3 - 8/9*t**2 = 0 for t. -2, 0, 1 Let h(f) be the second derivative of -5*f**4/12 - 905*f**3/6 + 455*f**2 - f - 36. Factor h(a). -5*(a - 1)*(a + 182) Let t(r) be the first derivative of 6*r + 1/4*r**4 - 38 + 8/3*r**3 + 13/2*r**2. Factor t(y). (y + 1)**2*(y + 6) Let w(o) be the second derivative of -o**6/30 + 119*o**5/2 - 117611*o**4/4 - 354620*o**3/3 - 177608*o**2 + 6088*o. Solve w(n) = 0 for n. -1, 596 Let j(n) = n**3 + 14*n**2 + 38*n - 8. Let u be j(-8). Find a such that -10*a**4 - 84*a**5 - 80*a**2 + u*a**3 + 88*a**5 - 18*a**4 + 32*a = 0. 0, 1, 2 Let k(v) be the second derivative of -9/2*v**2 - v + 9/2*v**4 + 53/2*v**3 - 49. Find i such that k(i) = 0. -3, 1/18 Let p = 303229 + -303229. Factor -11/8*k**4 - 1/4*k**2 + p*k - 13/8*k**3 + 0. -k**2*(k + 1)*(11*k + 2)/8 Suppose -1036 = 5*q + x - 313, 0 = 5*q - 2*x + 714. Let n be q/(-960) - (-1)/4. Determine z, given that 4/5*z**3 - 4/5*z - 2/5*z**4 + 0 + n*z**2 = 0. -1, 0, 1, 2 Let r(f) be the third derivative of f**7/140 + 3*f**6/40 - 49*f**5/40 + 33*f**4/8 + 2086*f**2. Let r(d) = 0. What is d? -11, 0, 2, 3 Suppose -6*u + 561 - 561 = 0. Suppose 17*m - 11 - 23 = u. Factor 0 - 2/3*g + 2/3*g**m. 2*g*(g - 1)/3 Suppose -2*k + 110 = -4*r, 72 = 3*k - 4*r - 101. Let k*o**2 + 477 - 60*o**2 + 190 + 416 - 114*o = 0. What is o? 19 Suppose -31*d - 16 = -33*d. Suppose 9 = d*o - 7. Factor -2*s**o - 2*s**2 + 3*s**3 + s**3 - 4*s**2. 4*s**2*(s - 2) Suppose 6*y = -4*v - 42, -46*v - 69 = -3*y - 42*v. What is c in 0*c + 0 + 1/5*c**y + 29/5*c**2 = 0? -29, 0 Let z(v) = -5*v**3 + 109*v**2 - 238*v - 530. Let y be z(19). Suppose 0 - 1/9*k**5 + 0*k - 784/9*k**3 - 56/9*k**4 + 0*k**y = 0. Calculate k. -28, 0 Suppose -39*q - 183 = 12. Let i be (9/(q + -13))/(-3). What is d in 1/2*d**5 + 0*d - 1/3*d**3 + 0*d**2 + i*d**4 + 0 = 0? -1, 0, 2/3 Let t be (20/(-3))/20*-30. Let r(c) be the first derivative of -c - 5/12*c**3 + t - c**2 - 1/16*c**4. Factor r(y). -(y + 1)*(y + 2)**2/4 Let y(l) = 11*l - 121. Let t be y(16). Factor 5*g**3 - 25 + 8 - 30*g**2 + t*g - 12 - 1. 5*(g - 3)*(g - 2)*(g - 1) Let o = -299379 + 299379. Suppose 1/6*a**2 + o + 4*a = 0. What is a? -24, 0 Let a(w) be the third derivative of -3025/8*w**3 - 4*w**2 - 1/80*w**5 + 55/16*w**4 + 4*w + 0. Factor a(y). -3*(y - 55)**2/4 Let x(y) be the second derivative of y**8/2016 - y**7/315 + y**6/270 + 7*y**4/12 - y**3/6 + 59*y. Let s(g) be the third derivative of x(g). Factor s(d). 2*d*(d - 2)*(5*d - 2)/3 Let z be (3 - (-101)/6) + 2/12. Suppose -6 = 5*b - 46. Find c such that 16*c**3 + 2*c**2 + z*c - 54*c**2 - b*c**2 - 61*c**3 + 35*c**4 = 0. -1, 0, 2/7, 2 Let x(n) be the third derivative of n**6/60 + 13*n**5/105 - 323*n**4/84 + 30*n**3/7 - 3*n**2 + 1026*n. Factor x(r). 2*(r - 5)*(r + 9)*(7*r - 2)/7 Solve 0 + 62/3*c**2 + 2/3*c**3 - 68*c = 0. -34, 0, 3 Let d(z) = -5*z - 14. Let f be d(-3). Let i(j) = 4*j**2 + 2*j - 1. Let r(b) = -42*b**2 - 4*b - 14. Let t(k) = f*r(k) + 10*i(k). Solve t(v) = 0. 2, 6 Let z be 0*(-51 - -20)/62. Factor 0 + z*t + 2/11*t**3 + 4/11*t**4 + 0*t**2 + 2/11*t**5. 2*t**3*(t + 1)**2/11 Let t be -2 + (-50)/(-7) - 17/119. Let f be t + -3 + -2 + 3. Factor f*s - 4*s**2 - 2*s**3 - s + 4*s**3. 2*s*(s - 1)**2 Suppose 36*g = 58 + 122. Let b(w) be the second derivative of 9/4*w**4 - 8*w**2 + 8*w**3 + 0 + 7/40*w**g - 12*w. Factor b(q). (q + 4)**2*(7*q - 2)/2 Let a be (-605)/(-105) - (-6)/9 - 3/7. Let b(s) be the second derivative of 0*s**4 + 0*s**2 + 1/30*s**a - 18*s + 0 + 0*s**3 + 1/20*s**5. Factor b(q). q**3*(q + 1) Suppose 26*t - 14*t + 62916 = 0. Let p be t/(-214)*1*4. Factor 6*n**2 + p + 42*n + 2/7*n**3. 2*(n + 7)**3/7 Suppose -170*f = -172*f + 4. Factor 60*l**4 + 16*l**3 + 20*l**f + 8*l**3 - 56*l**4. 4*l**2*(l + 1)*(l + 5) Let k(z) be the second derivative of z**6/180 - 13*z**5/90 + 4*z**4/9 + z**3/6 + 11*z**2 + 3*z + 12. Let c(m) be the second derivative of k(m). Factor c(q). 2*(q - 8)*(3*q - 2)/3 Let y = -836691/4 + 209182. Let -9/2 - 45/4*a - y*a**2 - 11/4*a**3 - 1/4*a**4 = 0. Calculate a. -6, -3, -1 Suppose 5*w**4 - 30*w**2 - 27 + 27 - 3*w**4 + 28*w**3 + 120*w**2 = 0. What is w? -9, -5, 0 Factor -2*h**3 + 433 + 412*h + 29 + 100*h**2 - 46 + h**3. -(h - 104)*(h + 2)**2 Let a = 305 - 286. Suppose 67*z + 72 + a*z**2 - 117*z - 280*z + 8*z**2 = 0. What is z? 2/9, 12 Let m(f) be the second derivative of 2*f**7/49 - 38*f**6/105 + 3*f**5/5 - 5*f**4/21 + 9*f - 33. Determine p so that m(p) = 0. 0, 1/3, 1, 5 Suppose 1 = 5*z + x, -604*x = 4*z - 606*x - 26. Let o(k) be the first derivative of 1/9*k**3 - 18 + 1/6*k**z + 0*k. Factor o(f). f*(f + 1)/3 Let l(f) be the second derivative of 3*f**5/20 - 101*f**4 - 405*f**3/2 + 1888*f. Factor l(d). 3*d*(d - 405)*(d + 1) Factor -1/4*h**2 + 354 - 175/2*h. -(h - 4)*(h + 354)/4 Let x(r) be the third derivative of -7*r**5/24 - r**4/32 - 2212*r**2. Factor x(i). -i*(70*i + 3)/4 Suppose -76 = -97*i + 93*i. Factor i + 4 + 25*b**2 - 23 - 10*b. 5*b*(5*b - 2) Suppose -4*l - 23 = -h + 2, -h = -1. Let y(f) = -8 + 88*f + 89*f**2 - 93*f - 91*f**2. Let b(u) = 3*u**2 + 6*u + 9. Let r(j) = l*y(j) - 5*b(j). Factor r(a). -3*(a - 1)*(a + 1) Let c be (-44)/(-2)*(-128)/(-512). Let -23/4*v - 1/4*v**2 - c = 0. Calculate v. -22, -1 Suppose -8*l = -4*l - 12. Suppose -m - 3*q = 2, 4*m + l*q = -0*m + 1. Solve d**3 - m + d + 5*d**2 - 2*d - 4*d**2 + 0*d = 0 for d. -1, 1 Find p such that 2240 + 5/4*p**5 + 135/4*p**4 + 340*p**3 + 1555*p**2 + 3120*p = 0. -8, -7, -2 Suppose -36 = -136*y + 134*y. Factor 19*l + 23*l**2 - y*l**3 - 51*l + 2 + 19*l**2 + 6. -2*(l - 1)*(3*l - 2)**2 Let m be ((-15)/(-40)*-2)/((9 + -10)/4). Determine n so that 10/9*n**4 + 0 - 2/3*n**5 + 0*n - 2/9*n**m - 2/9*n**2 = 0. -1/3, 0, 1 Let p(i) be the second derivative of -3*i**5/40 + 7*i**4/8 + 325*i**3/4 - 9633*i**2/4 - 2962*i. Factor p(l). -3*(l - 13)**2*(l + 19)/2 Let i(b) = b**3 - 22*b**2 + 47*b - 131. Let j be i(23). Let s = 10357/7 - j. Solve 2/7*o**4 - s*o**2 + 0 + 0*o + 2/7*o**3 = 0 for o. -2, 0, 1 Suppose 0 = 3*i - 21 + 12. Solve 45*f - 25 - f**i + 13*f**2 + 2*f**2 - 4*f**3 - 110 = 0. -3, 3 Let l(o) be the third derivative of 3/20*o**5 - 2*o - 19/24*o**4 + 1/3*o**3 + 2*o**2 + 0. Factor l(k). (k - 2)*(9*k - 1) Let n(c) = -2*c**2 - 3361*c - 36729. Let m be n(-11). Find u such that m*u**2 + 0 + 0*u - 1/4*u**3 = 0. 0 Determine z so that 28/17*z**3 + 164/17*z - 120/17*z**2 - 2/17*z**4 - 70/17 = 0. 1, 5, 7 Factor -28*j + 1/6*j**5 - 122/3*j**2 + 0 - 5/2*j**4 - 19*j**3. j*(j - 21)*(j + 2)**3/6 Suppose -18*v + 55 = 3*a - 17*v, 0 = a - 5*v - 13. Suppose -15*w + a*w - 6 = 0. Solve 5/8*r - 1/8*r**w - 1/8*r**3 - 3/8 = 0. -3, 1 Let s = 203/277 - -19/1108. Let x(v) be the first derivative of -1/24*v**3 + s*v + 42 + 5/16*v**2. Let x(u) = 0. What is u? -1, 6 Let 51/2*h + 3/8*h**5 - 201/8*h**4 + 201/8*h**2 + 0 - 207/8*h**3 = 0. Calculate h. -1, 0, 1, 68 Let h(d) = -4*d**5 + 38*d**4 - 48*d**3 - 86*d**2 + 310*d - 186. Let p(r) = r**4 + 2*r**3 - r**2 + r + 1. Let z(v) = -h(v) + 6*p(v). Find j, given that z(j) = 0. -2, 1, 2, 3, 4 Let v(q) = 3*q**3 - 113*q**2 + 950*q + 3468. Let i(b) = 10*b**3 - 363*b**2 + 2849*b + 10404. Let f(t) = 6*i(t) - 21*v(t). Determine m, given that f(m) = 0. -3, 34 Factor 183*g + 303*g**2 - 299*g**2 - 671*g. 4*g*(g - 122) Let m(p) be the first derivative of -p**7/525 - p**6/100 + 2*p**5/75 - p**2 + 112*p + 109. Let q(c) be the second derivative of m(c). Let q(x) = 0. What is x? -4, 0, 1 Suppose -9*h + 6*h + 24 = 0. Let g be (0/h - -4)*50/8. Factor -g*a**4 + 89*a**2 - 10*a**4 + 198*a**3 + 57*a**3 + 121*a**2 - 80*a. -5*a*(a - 8)*(a + 1)*(7*a - 2) Suppose -16*c + 16 = -8*c. Suppose -c*m = -0*m - 10. Determine x, given that 69*x**3 - 28*x**4 + 4*x + 86*x**5 - 61*x**m - 42*x**4 - 28*x**2 = 0. 0, 2/5, 1 Let j(q) = 7*q**4 + 14*q**3 + 27*q**2 - 124*q + 28. Let c(v) = -8*v**4 - 14*v**3 - 26*v**2 + 126*v - 22. Let z(t) = -6*c(t) - 7*j(t). Let z(h) = 0. What is h? -8, 1 Suppose 38*k + 5540 - 5692 = 0. What is o in -8*o**2 - 6*o**k - 12*o**3 - 20/9*o - 2/9 = 0? -1, -1/3 Let m(n) = -7*n**4 + 616*n**
{ "pile_set_name": "DM Mathematics" }
hich is bigger: b or u? b Suppose 9*s = 11 - 65. Let q be 10/(-210) + s/21. Suppose 21 = 2*k + 5*g, 18 = 3*k + 2*k + g. Which is smaller: q or k? q Let b(x) = 5*x**3 + x**2 - 5*x + 4. Let l be b(1). Suppose -2*i = l*t - 729, 715 = 5*t - 0*i - 5*i. Which is bigger: t or 143? t Let d be 1/(-2)*(-76)/(-57). Suppose 0 = 5*w - 3*b - 163, w + 2*b = 3*b + 33. Let a = w - 45. Which is greater: d or a? d Suppose 3*h = 0, 5*p - 108 = -2*h - 13. Suppose 0 = -6*g - 159 - 3. Let w = g - p. Is w bigger than -46? False Let o(b) = -b**2 + 15*b - 9. Let c be o(11). Let p = 108 - 73. Is c at most as big as p? True Suppose -5*x - v = -2062, -98*v + 101*v - 1632 = -4*x. Which is greater: x or -15? x Suppose 47*s = 1487 + 19757. Let f = -451 + s. Is 4/7 at most as big as f? True Let t be ((27/12)/3)/((-110)/32). Let g be 0*(2 + (-77)/44). Is t bigger than g? False Suppose 672 = 4*f + g, 130 = f + 4*g - 38. Let w = f + -168. Let l be (-38)/(-36) + 2/(-4). Is l at most w? False Let n = -16 + 15. Let f be 2/(-14) + (-479)/(-21). Let c = f - 23. Which is greater: n or c? c Let p(h) = h + 9. Let j be p(-4). Let z(l) = -l**3 - 17*l**2 + 14*l - 58. Let o be z(-18). Let w = o + j. Which is greater: w or 21? 21 Let t = -10114 + 394634/39. Are 4 and t equal? False Let f = -45.029 - -45. Let t = f + 17.029. Let q = t + -17. Which is greater: q or 1.5? 1.5 Let w = -3 - -3. Let s(v) = -2*v + 2. Let d be s(w). Suppose 8*a = d + 6. Is a at least as big as -2/47? True Let a = 13021 + -716179/55. Let g = a - 922/55. Is -18 less than or equal to g? True Let d be (-462)/(-63) - (-8)/((-72)/63). Which is bigger: d or 7213? 7213 Let f = -0.3458 + 0.2358. Is -2/71 greater than f? True Suppose 55*v = 109*v + 71*v - 160000. Which is smaller: v or 1281? v Let h = -4766 - -4754. Is 96 at least h? True Let w = 72773/30 + -14557/6. Is -2/1131 > w? True Let u(j) = j**2 + j - 15. Let d be u(4). Suppose -2*g - 2*g + 421 = 5*m, -4*m = -d*g + 557. Let c = -109 + g. Which is smaller: c or 8/9? c Let x be 2934/420 + -5 - 2. Let z be 200/(-84) - 0 - -2. Let y = z + -2/7. Is y greater than x? False Let k = 512 - 869. Let n be (-28)/(-42)*(k + 0). Is n < -239? False Let g(d) = -29*d - 41. Let o be g(-1). Let m be -4 + 1 - (o + 12 + -5). Is m not equal to 46? True Suppose 0*q - 81 = -3*h - q, -2*q = 3*h - 78. Let s be 5 + 187/(-44) - 1122/(-40). Which is greater: h or s? s Let b be -1 + 4 - (2/(-1) + 12455). Let j be 5/6 - (-10275)/b. Is 0 greater than j? False Let k be (-4 - (11 - -13))/569. Which is bigger: -1 or k? k Let p = 26.98 - -0.02. Let l = p + -29. Let h = 65 + -67. Is h less than or equal to l? True Suppose 2*g + 7*z = 24 + 44, 2*g - 2*z = 104. Let c = 1475/3 + -9347/21. Which is smaller: c or g? c Suppose 1881 = -3*o - g, -178 = o - 2*g + 456. Let q = -1663 + 1035. Is q greater than or equal to o? True Let g = 198920 + -198887. Let r = -0.2 + -0.8. Which is smaller: g or r? r Let c = -3174.984 + 3175. Is -0.65 less than c? True Let r(d) = -15*d**2 - 6*d + 15. Let t be r(2). Which is smaller: t or -35? t Let c = -883/132 - 2/33. Let x = 85 + -165. Let y be (-64)/x + 34/(-5). Which is smaller: y or c? c Let q be 30/8*(20704/48440 + 30/(-70)). Do q and -1 have the same value? False Suppose -151*g + 147*g = 0. Suppose 9*b + 9 = -g*b. Let c be (-2)/12*(-4)/123. Which is smaller: b or c? b Suppose 4*q - 5*i - 35 = 0, 0*q = -5*q + 4*i + 55. Suppose 2*f + 10*d = 7*d - q, -3*d = -3*f - 15. Is f smaller than -22/3? False Let k = 5 + 2. Suppose -19*d - d = -660. Suppose 38*x = d*x + 10. Is x at least as big as k? False Suppose 4*m - m = -4*p + 9, -5*p + 4*m + 19 = 0. Let z be (-9)/p*(-10)/3. Let n be 3220/253 - 1*(-6)/22. Is n bigger than z? True Let m be 28519 - (0 + 0)/(-1). Let b be 2/(-12)*-2 - m/237. Which is smaller: -121 or b? -121 Let g = 1564 + -1940. Is -371 at least as big as g? True Suppose -91*f + 24 - 115 = 0. Which is greater: 1/801 or f? 1/801 Let x = 5.2 + -5.146. Let c = x + -14.254. Let t = c - -4.2. Are t and 0.2 non-equal? True Let t be (8/18)/((-828)/972 - -1). Let u = 72878/39393 - -8/4377. Is u less than t? True Suppose -5*z + 124 = -3*a, 5*a + 56 = 3*a - 2*z. Let h be 4/(-6) + (-2530)/a. Let o be (4 + (-298)/h)*2. Which is greater: -0.1 or o? o Let p = 460 - 471. Let c(b) = 11*b**2 - b. Let w be c(-1). Let q be 326/(-30) + w/(-90). Is p not equal to q? False Let k = 0.456 - 488.456. Is 1 at most k? False Suppose -88*j = -85*j + 507. Let v be j/22 - (-2 - 5/(-10)). Is v <= -6? True Let f(o) = -o**3 + 2*o**2 - 5*o + 5. Let h(j) = -j**2 + 2*j. Let s(x) = -f(x) - 5*h(x). Let v be s(-4). Let z = -2/61 + 264/4331. Which is smaller: v or z? v Let w = 171 + -157. Suppose -19*u + w*u = 50. Is u less than -17? False Let q be (-36225)/(-43659) - 1/(-11). Are q and 0 non-equal? True Let s be (-328)/10 + 2/(-10). Let l be -1 + (-6)/s + 1. Is 6/11 at most as big as l? False Let k = 183 - 189. Is -206 bigger than k? False Let q = 0.3 + 0.7. Let a(r) = 15*r - 56. Let u be a(4). Suppose -3*h - x = -333, x = 3*h - u*h + 109. Which is bigger: q or h? h Let q be -5*(-3)/(42/(-12) - -5). Let w be (2 - 416/q)/(38/76). Which is bigger: w or -79? -79 Let r be (5/(50/255))/((-9)/(-6)). Is 83 at least r? True Let k = -10.4 - -29.4. Let p = 16.44 + -35.15. Let b = p + k. Which is greater: b or -1/2? b Let d be ((-2)/28 - 23389/266) + -8. Is 15/7 less than or equal to d? False Let j be (-49)/(-49)*-1*46. Let x = 45 + j. Let v be 2/(-8)*(-6)/4. Is v at least x? True Let x be ((-10304)/(-140))/(48/(-120)). Is 1/12 <= x? False Let n = 2.254 + 0.197. Let z = 0.549 + n. Which is greater: z or -10/37? z Suppose 0 = -98*i + 107*i + 1179. Let j be (5 - i)*(-3)/(-6). Which is smaller: j or 70? j Suppose 0*n + 6 = 3*n, 4*f - 324 = 2*n. Let k = -559/7 + f. Let w = -2 + k. Which is smaller: w or 1? w Let g be (-14*17)/(((-133)/14)/(-19)). Which is bigger: 1 or g? 1 Let k(r) = 3*r**2 + 19*r + 19. Let d be -1 - (-7)/(35/(-25)). Let l be k(d). Is l smaller than 14? True Suppose 5*l - l = x + 19, 0 = -l + 5. Let w be (x + -1*(-2)/(-1))/(-89). Suppose -2*m = 4*j + 5 + 1, 4*m + 3*j + 7 = 0. Do m and w have different values? True Let i = -14270 + 128426/9. Is 40/9 >= i? True Suppose -6*c + 5987 + 2055 + 682 = 0. Which is smaller: 1460 or c? c Let m be (5 - 8*21) + -1. Let v = -162 - m. Which is smaller: 4 or v? v Let t = 626 - 628. Let n be t/(18/597) - 5. Is -72 > n? False Let q = -11.29 + 5.37. Let g = 356.08 - q. Are -1 and g nonequal? True Suppose 0 = 4*n + 22 + 34. Suppose -25*s + 2674 = 11824. Let a = s + 354. Is n >= a? False Let q = 357 - 745. Let p = -388 - q. Is p at most as big as -1? False Let b = -38620/31 + 1246. Suppose -14*q + 39 = 25. Is b less than q? True Let n = -89.66 - -89.6003. Do n and 0.4 have the same value? False Let w(l) = -l**3 + 7*l**2 + 20*l - 27. Let d be w(8). Suppose 0 = d*v - 71*v + 168. Is 83 >= v? False Let r(d) = d**2 - 2. Let b be r(2). Let s = 45308/165 - 244/33. Let i = s - 268. Is i at most as big as b? True Let l be (-66)/(-15) + (3 - 3). Let d(h) = -6*h - 44. Let y be d(-8). Let t(v) = 2*v - 4. Let j be t(y). Is l less than j? False Suppose 0 = -42*o + 72 - 114. Which is smaller: o or -17/251? o Let a = -975.9 + 186.9. Let v = a - -790. Is v smaller than -5/56? False Suppose -z - 2*w + 4 = 0, 2*z + 3*w + 2*w = 7. Suppose -4*h - 18 = z. Is h smaller than -12? False Let n = -537 + 624. Let u = n + -211. Which is greater: -125 or u? u Let x be (-4)/(-20) + -3 + (-52)/(-20). Suppose -2*k - 3*p = 4 - 13, -2*p = -3*k + 33. Suppose -k = 3*m + 2*m - 2*y, 0 = m + 3*y - 5. Which is bigger: m or x? x Suppose -4*g = -0*z + 3*z + 18, z = 3*g + 7. Let l be ((-2)/((-16)/(-4))*-8)/2. Suppose 2*p + 3*h = -3, 5*p + 3 = l*h + 5. Is g greater than p? False Let n = -4994 + 1433276/287. Suppose -w + 1550 = -5*a, -4*a - 3*w = a + 1550. Let b = a + 310. Is n at least as big as b? False Let s be (-6)/18 - (-40)/12. Let g(h) = -12*h - 10. Let v be g(5). Let z be (-2*(-5)/v)/(s/2). Is z at most 0? True Let d be 5 - -1*(4 + 14914/(-1658)). Which is smaller: d or 1? d Let z(i) = 945*i - 5693. Let t be z(6). Is t smaller than -24? False Let u be (-37 + 32)*(91 - -1). Let r be (40/u)/(2 - 0). Which is smaller: r or 0? r Suppose -77*m + 76*m = w + 1, -w = 3*m + 7. Let s be 4/(-10) - 83/5. Let y = 6 + s. D
{ "pile_set_name": "DM Mathematics" }
is the highest common divisor of 20 and q? 10 Let u be (3 + -39 + -3)*(-1)/1. Calculate the highest common factor of u and 26. 13 Suppose -4*w + 2*m = -154, 5*m - 68 = -2*w + 3*m. Let i = w - 24. Calculate the highest common factor of i and 117. 13 Let k be 6/(-16) - (-4365)/120. What is the highest common divisor of k and 12? 12 Suppose 3*k + 2*y + 4 = 7*k, k - 5*y = -8. Suppose 5*p = k*p + 135. Let l be p/6*(-24)/(-10). Calculate the greatest common factor of l and 144. 18 Let r(t) = 2*t**2 + 12*t + 12. Let h(q) = q**2 + 6*q + 6. Let p(v) = 5*h(v) - 2*r(v). Let b be p(-5). Calculate the greatest common factor of 4 and b. 1 Suppose 4*t = -d + 15, 3*t + 31 = d - t. Let u = 31 - d. Calculate the highest common factor of u and 64. 8 Let z be (42/24)/((-2)/8). Let n = z + 4. Let h(v) = -v**3 + v**2 + 3*v - 4. Let l be h(n). Calculate the greatest common factor of 207 and l. 23 Let t(b) = -5*b - 12. Let w be t(-7). Let j = w - 16. What is the highest common factor of 49 and j? 7 Let x = 209 - -64. Let k be x/15 + 3/(-15). Suppose 0*y + 2*y = 180. What is the greatest common divisor of y and k? 18 Suppose 2*i + 3*i + 2 = -4*c, 0 = -4*i - 8. Suppose 3*g = c*w + 124, 3*w - 42 = -g + 4*w. What is the highest common divisor of g and 16? 8 Let f be -2*4/8*13. Let o = 39 - f. Calculate the greatest common factor of 13 and o. 13 Suppose -2*b + 3 = -123. Calculate the greatest common factor of b and 9. 9 Let u(h) = -3*h**3 - 11*h**2 + 5*h + 10. Let q be u(-4). Calculate the greatest common factor of 24 and q. 6 Let p = -3 + 5. Let h = 13 - p. Calculate the highest common factor of h and 77. 11 Let x(r) = -r**2 + 6*r - 3. Let k be x(5). Suppose 2*d - 15 = -4*n + 1, k*d = n + 21. Calculate the greatest common divisor of d and 2. 2 Let y = -24 - -76. What is the greatest common factor of 78 and y? 26 Let d(k) = -3*k + 48. Let m be d(10). Calculate the greatest common divisor of 12 and m. 6 Let i(c) = -c - 1. Let y be i(-5). Let k(o) = 7*o - o**2 - 2 + 0*o**2 + 2*o**2. Let z be k(-8). What is the highest common factor of y and z? 2 Let o(c) = -c + 1. Let j(r) = -r**2 + 5*r - 7. Let v be j(5). Let z be o(v). What is the highest common divisor of 4 and z? 4 Suppose -t = -31 + 10. Let g be 4*(-2 - (-52)/16). Suppose -2*u + 22 = r, 5*r = 2*r - g*u + 62. Calculate the greatest common factor of t and r. 7 Let f = 62 + -26. Suppose -2*d + 4*d + 3*g - 96 = 0, -2*d = -3*g - 120. Calculate the highest common factor of d and f. 18 Let h(v) = -v**3 + 5*v**2 + 2*v - 6. Let u be h(2). Calculate the greatest common factor of 2 and u. 2 Let u be 2/5 - 3639/(-15). What is the greatest common factor of u and 27? 27 Let a be 4 - (0 + 3) - 0. Calculate the greatest common divisor of 8 and a. 1 Suppose 3*y + t = 49, -3*t + 2 = -t. Calculate the greatest common divisor of 8 and y. 8 Suppose 0*x - 870 = -6*x. Calculate the greatest common divisor of 58 and x. 29 Suppose 4*v - 177 + 37 = 0. Suppose 3*n + 1 = 4. Let x be (-10)/(-2) - (-1 - n). What is the highest common divisor of v and x? 7 Let h be -1*(1 - 0) - -8. Let o be (-12)/66 - (-46)/11. Let s be 55 + 2/o*2. What is the greatest common divisor of s and h? 7 Let p(c) = -59*c**3 + 2*c**2 + 2*c + 1. Let r be p(-1). What is the greatest common divisor of r and 15? 15 Let u(b) = 2*b**2 + 2*b - 2. Let w be u(3). Suppose 0*m - 2*m = -2*t - 36, -m = -2*t - w. Calculate the greatest common factor of 35 and m. 7 Suppose -9 = 4*f - 25. Let g = 11 - f. Calculate the highest common divisor of g and 7. 7 Suppose 0 = -4*w + 2*s + 42, 0*w = w + 5*s - 16. Let b = w + -25. Let c be (-94)/b + 12/42. What is the highest common factor of 28 and c? 7 Suppose q = -4*q + 4*t + 37, 2*q - 20 = -t. What is the highest common factor of 180 and q? 9 Suppose 2*m - 67 = -3*l + 5, 72 = 3*l + m. Calculate the greatest common divisor of 48 and l. 24 Let s be 5/(-40) + 513/8. What is the highest common factor of 8 and s? 8 Let f = 29 - 15. Suppose -3*c - f = 142. Let g be (-4)/(-14) + c/(-14). Calculate the greatest common factor of 36 and g. 4 Let h(k) = k + 6. Let u be h(0). Let w = u - 4. What is the highest common divisor of w and 4? 2 Let b be ((-1)/(-1))/(9/(-279)). Let j = 47 + b. Calculate the highest common divisor of 16 and j. 16 Let l = 18 - 28. Let n be 21 + (-3)/3 + 1. Let j = l + n. Calculate the highest common factor of 22 and j. 11 Suppose 0 = v - 0 - 4. Suppose -3*k = -v - 5. Suppose -k*s - 72 = -7*s. What is the highest common divisor of 27 and s? 9 Let v(p) be the second derivative of p**5/20 - 2*p**4/3 + 9*p**2/2 + 3*p. Let h be v(8). What is the highest common divisor of h and 1? 1 Let q = -17 - -24. What is the greatest common divisor of q and 49? 7 Suppose 8*r + 2*d = 12*r - 168, -d = -3*r + 126. What is the greatest common factor of 105 and r? 21 Suppose 2*s + 4*s - 108 = 0. What is the greatest common divisor of 12 and s? 6 Suppose -p + 5*d = 3*d - 101, 5*d = -5*p + 535. What is the greatest common factor of 42 and p? 21 Let b(k) = k**3 - 4*k**2 + 2*k + 2. Let f be b(3). Let r be (f - 4/(-10))*-5. Let w be -2 - (-1)/(r/42). Calculate the highest common factor of 96 and w. 12 Suppose -2*l = 5*p + 258, 4*p - 3*l - 2*l + 180 = 0. Let s = -14 - p. Calculate the greatest common factor of 54 and s. 18 Let o be (-4)/(-12) - (-1887)/18*2. Calculate the highest common divisor of 21 and o. 21 Let j be (-2)/(-6) - (-160)/24. Let c(g) = 2*g**2 - 9*g + 4. Let k be c(j). What is the greatest common factor of k and 26? 13 Let s = 66 + -39. What is the highest common divisor of s and 18? 9 Suppose -s + 3*l + 2*l - 4 = 0, -20 = 5*s + l. Let f be 1 + 2 - 208/s. Calculate the highest common factor of f and 11. 11 Let f be (18/8)/1*4. Suppose 3*m = 4*m - f. Let b(v) = v - 9. Let q be b(10). Calculate the highest common divisor of q and m. 1 Suppose 0 = 5*l - 38 + 28. Calculate the highest common divisor of 20 and l. 2 Let v = -16 - -33. Suppose 2*y + 4*r - v = 3, 5*r = -2*y + 24. Suppose -2*h - 10 = -7*h. Calculate the highest common divisor of h and y. 2 Suppose -12 + 16 = 2*h. What is the greatest common divisor of 8 and h? 2 Suppose -3*b + 0*b = 0. Suppose b = 5*j + 10 + 5. Let k be 4/j*27/(-2). What is the greatest common factor of k and 144? 18 Let w be ((-5)/10)/(2/(-4)). Suppose 2*t - 26 = -5*g, g = 3*t - 6 + w. What is the greatest common divisor of 1 and g? 1 Suppose 0 = j - 0 - 5. Suppose -3*g + 8 = j*m - 12, -4*m + 3*g = -43. What is the greatest common divisor of m and 28? 7 Let f(g) = 3*g**2 - g - 1. Let w be f(-1). What is the highest common divisor of w and 3? 3 Let z be ((-18)/(-8))/((-12)/(-128)). Suppose 2*q = 3*b + 53, 3*b = -q + 2*b + z. What is the greatest common divisor of 5 and q? 5 Suppose 2*l - 3*l + 4*m = 0, 0 = m - 3. Suppose -2 + l = 5*g. Let t = g + 15. What is the greatest common factor of 136 and t? 17 Let b be 7/(-21) + 632/6. Calculate the greatest common factor of b and 21. 21 Suppose 7*n = 4*n + 2*v + 31, 0 = v + 5. Calculate the highest common divisor of n and 49. 7 Let q(a) be the first derivative of 16*a**3/3 + 3*a**2/2 - 3*a - 2. Let j be q(-3). What is the greatest common factor of 12 and j? 12 Suppose 4*n - 2*w - 70 = 0, -3*w + 0*w + 15 = 2*n. What is the highest common divisor of n and 195? 15 Suppose 1 - 6 = -5*f. Let w = f + -1. Suppose w = 5*h - 22 - 23. Calculate the highest common divisor of h and 99. 9 Let f = 127 + -52. Calculate the greatest common divisor of f and 30. 15 Suppose 0 = 3*c + c - 32. Suppose 2*k + c = -2*k, -2*n + 5*k = -18. Suppose -v + 2*f + 118 = n*v, 5*f - 2 = -v. What is the greatest common factor of 11 and v? 11 Let j(s) = -s**2 - 6*s. Let f be j(-5). Let a be 73/f + (-2)/(-5). Let r be 1/4 + (-118)/(-8). What is the highest common factor of r and a? 15 Let s(d) = d**3 - 5*d**2 + 2*d. Let b be s(6). What is the greatest common factor of b and 6? 6 Let c be -2 + 1 - -3*2. Let h = 7 - c. Suppose 2*s + 144 = 5*x, -h*x = -x - s - 30. What is the greatest common factor of x and 4? 4 Let c = -88 - -124. Let i(b) = b**2 - 17*b + 4. Let z be i(0). What is the greatest common factor of z and c? 4 Suppose 0*f + 10 = 5*f. Suppose 5*q - 161 + 2 = f*y, -117 = -4*q + 5*y. Calculate the highest common factor of q and 11. 11 Let t be ((-2)/(-6))/((-7)/(-126)). Suppose 0 = t*l - 4*l. Suppose l =
{ "pile_set_name": "DM Mathematics" }
3 is divided by 1148. 1139 Calculate the remainder when 30543 is divided by 40. 23 What is the remainder when 32062 is divided by 11? 8 Calculate the remainder when 156448 is divided by 2. 0 Calculate the remainder when 5604 is divided by 5469. 135 What is the remainder when 7633 is divided by 3765? 103 Calculate the remainder when 13848 is divided by 1621. 880 What is the remainder when 11054 is divided by 4525? 2004 What is the remainder when 38574 is divided by 167? 164 Calculate the remainder when 85233 is divided by 85160. 73 What is the remainder when 9699 is divided by 59? 23 Calculate the remainder when 200 is divided by 101. 99 What is the remainder when 1475 is divided by 694? 87 Calculate the remainder when 1721 is divided by 396. 137 Calculate the remainder when 434861 is divided by 137. 23 What is the remainder when 1430732 is divided by 48? 44 Calculate the remainder when 731120 is divided by 146221. 15 What is the remainder when 142217 is divided by 52? 49 Calculate the remainder when 1070 is divided by 103. 40 Calculate the remainder when 1549074 is divided by 4. 2 What is the remainder when 20399 is divided by 462? 71 What is the remainder when 11573 is divided by 37? 29 Calculate the remainder when 6724 is divided by 419. 20 Calculate the remainder when 38434 is divided by 193. 27 Calculate the remainder when 475 is divided by 118. 3 What is the remainder when 7253 is divided by 3605? 43 What is the remainder when 2860 is divided by 239? 231 What is the remainder when 36766 is divided by 51? 46 What is the remainder when 115599 is divided by 1484? 1331 Calculate the remainder when 86036 is divided by 935. 16 Calculate the remainder when 4894 is divided by 676. 162 Calculate the remainder when 147412 is divided by 158. 156 What is the remainder when 1219369 is divided by 14? 11 Calculate the remainder when 807 is divided by 220. 147 What is the remainder when 169015 is divided by 37? 36 Calculate the remainder when 3543 is divided by 1172. 27 What is the remainder when 4150 is divided by 120? 70 What is the remainder when 4104 is divided by 1705? 694 Calculate the remainder when 10157 is divided by 112. 77 What is the remainder when 68602 is divided by 512? 506 What is the remainder when 11237509 is divided by 47? 44 What is the remainder when 27 is divided by 3? 0 Calculate the remainder when 16144 is divided by 1558. 564 Calculate the remainder when 328833 is divided by 328830. 3 What is the remainder when 5998 is divided by 25? 23 Calculate the remainder when 293219 is divided by 54. 53 What is the remainder when 843 is divided by 38? 7 What is the remainder when 28820 is divided by 104? 12 Calculate the remainder when 24882 is divided by 6206. 58 What is the remainder when 55807 is divided by 7971? 10 Calculate the remainder when 782861 is divided by 60. 41 Calculate the remainder when 180392 is divided by 45078. 80 Calculate the remainder when 102826 is divided by 12. 10 What is the remainder when 10644 is divided by 1709? 390 Calculate the remainder when 166104 is divided by 436. 424 What is the remainder when 30967 is divided by 122? 101 What is the remainder when 932 is divided by 49? 1 What is the remainder when 1341819 is divided by 230? 229 What is the remainder when 42117 is divided by 221? 127 Calculate the remainder when 1738 is divided by 25. 13 What is the remainder when 33439 is divided by 16? 15 What is the remainder when 1074 is divided by 76? 10 Calculate the remainder when 216984 is divided by 13. 1 What is the remainder when 2520 is divided by 418? 12 What is the remainder when 17023 is divided by 88? 39 What is the remainder when 46594 is divided by 2588? 10 Calculate the remainder when 11875 is divided by 45. 40 What is the remainder when 9238 is divided by 9? 4 Calculate the remainder when 25302 is divided by 1112. 838 Calculate the remainder when 5319 is divided by 502. 299 What is the remainder when 31242 is divided by 15? 12 What is the remainder when 3048 is divided by 1000? 48 Calculate the remainder when 12258 is divided by 100. 58 What is the remainder when 3181 is divided by 1243? 695 What is the remainder when 15556 is divided by 7772? 12 What is the remainder when 33798 is divided by 463? 462 What is the remainder when 255917 is divided by 10236? 17 Calculate the remainder when 933 is divided by 308. 9 What is the remainder when 13146 is divided by 2139? 312 What is the remainder when 1398 is divided by 37? 29 Calculate the remainder when 3754 is divided by 3712. 42 Calculate the remainder when 7908 is divided by 1592. 1540 What is the remainder when 54405 is divided by 18129? 18 What is the remainder when 37925 is divided by 301? 300 Calculate the remainder when 751 is divided by 393. 358 What is the remainder when 14501 is divided by 156? 149 Calculate the remainder when 70378 is divided by 2815. 3 Calculate the remainder when 2722 is divided by 272. 2 Calculate the remainder when 83061 is divided by 41524. 13 Calculate the remainder when 337309 is divided by 454. 441 What is the remainder when 103118 is divided by 889? 883 Calculate the remainder when 1706 is divided by 427. 425 What is the remainder when 30411 is divided by 707? 10 What is the remainder when 2823 is divided by 471? 468 Calculate the remainder when 1911762 is divided by 637252. 6 What is the remainder when 72709 is divided by 89? 85 What is the remainder when 2992 is divided by 2991? 1 What is the remainder when 91724 is divided by 78? 74 Calculate the remainder when 2536 is divided by 45. 16 Calculate the remainder when 16503 is divided by 1651. 1644 What is the remainder when 59321 is divided by 29638? 45 What is the remainder when 76672 is divided by 19168? 0 What is the remainder when 23372 is divided by 163? 63 Calculate the remainder when 2741 is divided by 495. 266 What is the remainder when 9857 is divided by 124? 61 What is the remainder when 162631 is divided by 27104? 7 What is the remainder when 1926 is divided by 594? 144 What is the remainder when 206496 is divided by 926? 924 What is the remainder when 3996 is divided by 809? 760 Calculate the remainder when 19427 is divided by 379. 98 What is the remainder when 1355 is divided by 689? 666 Calculate the remainder when 38164 is divided by 250. 164 Calculate the remainder when 12008 is divided by 3995. 23 Calculate the remainder when 835 is divided by 826. 9 What is the remainder when 24490 is divided by 93? 31 What is the remainder when 16446 is divided by 36? 30 What is the remainder when 179482 is divided by 777? 772 What is the remainder when 21106 is divided by 449? 3 What is the remainder when 2156 is divided by 36? 32 What is the remainder when 95341 is divided by 13? 12 Calculate the remainder when 6250 is divided by 3116. 18 What is the remainder when 130434 is divided by 9? 6 Calculate the remainder when 4787 is divided by 4785. 2 Calculate the remainder when 2588178 is divided by 380. 378 What is the remainder when 287010 is divided by 208? 178 Calculate the remainder when 28016 is divided by 4. 0 What is the remainder when 63973 is divided by 295? 253 Calculate the remainder when 58856 is divided by 109. 105 What is the remainder when 1991 is divided by 24? 23 What is the remainder when 4737 is divided by 2366? 5 What is the remainder when 26002 is divided by 8621? 139 Calculate the remainder when 77974 is divided by 553. 1 Calculate the remainder when 16351 is divided by 221. 218 Calculate the remainder when 9894 is divided by 330. 324 What is the remainder when 3979 is divided by 249? 244 What is the remainder when 4384 is divided by 258? 256 What is the remainder when 733560 is divided by 32? 24 Calculate the remainder when 2464 is divided by 14. 0 What is the remainder when 97741 is divided by 22? 17 Calculate the remainder when 2019 is divided by 92. 87 What is the remainder when 11156 is divided by 72? 68 Calculate the remainder when 71037 is divided by 71001. 36 What is the remainder when 9417 is divided by 214? 1 Calculate the remainder when 91856 is divided by 147. 128 What is the remainder when 63571 is divided by 724? 583 Calculate the remainder when 29484 is divided by 500. 484 Calculate the remainder when 21457 is divided by 1983.
{ "pile_set_name": "DM Mathematics" }
00007 Round 0.0000008939615 to 6 decimal places. 0.000001 What is 0.00101111861 rounded to seven decimal places? 0.0010111 What is 0.00246954895 rounded to seven decimal places? 0.0024695 What is 43792.82922 rounded to the nearest ten? 43790 What is -46096.6149 rounded to the nearest 100? -46100 Round 1.85980688 to two dps. 1.86 Round 42.9755965 to 3 dps. 42.976 What is -0.0088783912 rounded to three dps? -0.009 What is -0.00229137949 rounded to five decimal places? -0.00229 Round 1717545210 to the nearest one hundred thousand. 1717500000 Round -0.0000161811643 to six dps. -0.000016 Round 0.0000006089362111 to 7 decimal places. 0.0000006 Round 0.0062103836 to five decimal places. 0.00621 Round 941843560 to the nearest 1000000. 942000000 Round 0.0000324311614 to six decimal places. 0.000032 Round 2548592.952 to the nearest one thousand. 2549000 Round 10219962.87 to the nearest ten thousand. 10220000 Round 0.50085104 to 1 decimal place. 0.5 Round -38.320019 to 2 dps. -38.32 What is 39.33344682 rounded to three decimal places? 39.333 What is 0.0150375408 rounded to six decimal places? 0.015038 What is -0.014595269 rounded to three dps? -0.015 Round 1977458240 to the nearest 1000000. 1977000000 Round 0.46108973 to 4 dps. 0.4611 Round 622101.0168 to the nearest 100000. 600000 What is -400.85676 rounded to one decimal place? -400.9 What is -59.187538 rounded to zero decimal places? -59 What is -0.000143382054 rounded to 6 dps? -0.000143 Round -4.342727403 to two decimal places. -4.34 Round -0.00114006017 to 7 dps. -0.0011401 What is 0.352837321 rounded to 3 decimal places? 0.353 Round 9.1972995 to the nearest integer. 9 What is -304175001.2 rounded to the nearest one million? -304000000 Round -0.0045596818 to six dps. -0.00456 Round -0.05355613756 to three decimal places. -0.054 What is 8590.57656 rounded to the nearest one thousand? 9000 What is 0.00360814853 rounded to 6 dps? 0.003608 What is -2948333280 rounded to the nearest 1000000? -2948000000 What is -0.0000887768539 rounded to 6 decimal places? -0.000089 Round -0.32109414 to 4 decimal places. -0.3211 Round -0.0054427301 to five decimal places. -0.00544 Round -8486.3938 to the nearest one hundred. -8500 What is 853372110.1 rounded to the nearest 100000? 853400000 What is -13.79472607 rounded to 2 dps? -13.79 Round -906796.8 to the nearest ten thousand. -910000 What is 0.03703660794 rounded to five dps? 0.03704 What is -57289618 rounded to the nearest one hundred thousand? -57300000 What is 7781816.2 rounded to the nearest one million? 8000000 Round -52.5323439 to one decimal place. -52.5 Round -0.101189709 to 5 dps. -0.10119 Round -0.00032421048 to 6 dps. -0.000324 What is 43688676 rounded to the nearest one million? 44000000 What is -0.00006271623 rounded to 5 dps? -0.00006 Round -3871807087 to the nearest one hundred thousand. -3871800000 Round -424.9968176 to the nearest one hundred. -400 Round 0.0004955988424 to four decimal places. 0.0005 What is -0.176911671 rounded to one decimal place? -0.2 What is -0.000105799427 rounded to six dps? -0.000106 What is -953212.7 rounded to the nearest 100000? -1000000 Round -9696.6413 to the nearest 10. -9700 What is -750047271.2 rounded to the nearest 10000? -750050000 What is 0.0700362073 rounded to 6 dps? 0.070036 What is -0.000000589058428 rounded to seven dps? -0.0000006 Round -0.0076372883 to 3 dps. -0.008 What is 21492585.73 rounded to the nearest ten thousand? 21490000 Round -394.1466721 to two dps. -394.15 What is 1.025305593 rounded to 1 decimal place? 1 What is 13.01421667 rounded to two dps? 13.01 What is 63131.372 rounded to the nearest ten? 63130 What is 22.92329661 rounded to one dp? 22.9 What is 316.218885 rounded to 2 decimal places? 316.22 Round -18695.25119 to the nearest 100. -18700 Round 2236445.288 to the nearest 100000. 2200000 Round -1286759.613 to the nearest one thousand. -1287000 What is -10.87099851 rounded to the nearest 10? -10 Round 0.753497329 to 5 dps. 0.7535 What is -0.00000113801141 rounded to 6 dps? -0.000001 Round 160347136 to the nearest 100000. 160300000 What is 109782191 rounded to the nearest one hundred thousand? 109800000 Round -10189741.31 to the nearest one million. -10000000 What is 478206388 rounded to the nearest 100000? 478200000 What is 584025097 rounded to the nearest 100000? 584000000 Round -4112.630742 to the nearest 100. -4100 What is -2654751.62 rounded to the nearest one thousand? -2655000 What is -1.8512967615 rounded to 2 dps? -1.85 What is -117316571.82 rounded to the nearest ten thousand? -117320000 What is 0.000018545952 rounded to 5 dps? 0.00002 Round 0.0012582423488 to 5 decimal places. 0.00126 Round 633772576 to the nearest one hundred thousand. 633800000 Round 0.00192004143 to seven dps. 0.00192 Round -0.00567808959 to 6 dps. -0.005678 What is -35.4978695 rounded to one decimal place? -35.5 What is 98282092.1 rounded to the nearest ten thousand? 98280000 What is 1819974.8455 rounded to the nearest ten? 1819970 Round -9281725.38 to the nearest 10000. -9280000 What is -65690088.2 rounded to the nearest 1000000? -66000000 What is 2.254557 rounded to the nearest ten? 0 What is -1.875367428 rounded to one decimal place? -1.9 What is 14377960.98 rounded to the nearest 1000? 14378000 Round -62130790.2 to the nearest 100000. -62100000 What is -155.751151 rounded to zero dps? -156 Round -149436.042 to the nearest one thousand. -149000 Round -15.486268 to the nearest 10. -20 Round -20981589640 to the nearest 1000000. -20982000000 Round 0.1146831323 to 3 decimal places. 0.115 Round -23520305 to the nearest 10000. -23520000 Round 0.79316548 to the nearest 10. 0 What is -0.000011943203 rounded to six dps? -0.000012 Round 10546262.4 to the nearest ten thousand. 10550000 What is -9347858.64 rounded to the nearest 100000? -9300000 Round -33463.51563 to the nearest one hundred. -33500 Round 0.20093843 to one decimal place. 0.2 What is -0.0033627228 rounded to 3 dps? -0.003 What is -16961486.7 rounded to the nearest 1000? -16961000 Round 28.1903375 to the nearest 10. 30 What is -975168701 rounded to the nearest one hundred thousand? -975200000 Round 0.0214982616 to four decimal places. 0.0215 What is -0.00000609382439 rounded to six decimal places? -0.000006 Round 3.15967367 to 3 decimal places. 3.16 Round 2371889330 to the nearest one million. 2372000000 What is 2.77200642 rounded to 3 decimal places? 2.772 Round 24826.86 to the nearest one thousand. 25000 What is 0.3895831056 rounded to 4 decimal places? 0.3896 Round 480.55888 to one dp. 480.6 Round -627122540 to the nearest 1000000. -627000000 Round 3.5304483 to four decimal places. 3.5304 Round -0.000085657278 to five dps. -0.00009 What is 24.4762198 rounded to one decimal place? 24.5 What is 52841.9949 rounded to the nearest 10000? 50000 What is 73.2065798 rounded to one dp? 73.2 What is 14.93000923 rounded to the nearest integer? 15 Round 0.0000044052831 to 7 decimal places. 0.0000044 Round -2316838.629 to the nearest one thousand. -2317000 What is -5536250.2 rounded to the nearest 1000000? -6000000 What is 3.07838038 rounded to three dps? 3.078 What is 129.523072 rounded to the nearest integer? 130 Round 0.0000514338282 to 6 dps. 0.000051 Round 5387084117 to the nearest one million. 5387000000 What is 6182746.3 rounded to the nearest 100000? 6200000 What is 2181631125.5 rounded to the nearest 1000000? 2182000000 Round 870680768 to the nearest one million. 871000000 What is -93.823352 rounded to two decimal places? -93.82 What is -36859.607 rounded to the nearest 1000? -37000 Round -17.721307889 to 1 dp. -17.7 Round -1.162151816 to one decimal place. -1.2 Round 0.86997344 to two decimal places. 0.87 What is -16212027.28 rounded to the nearest 1000? -16212000 Round -8.4599381 to two decimal places. -8.46 What is -0.20918135 rounded to 2 decimal places? -0.21 Round 8559.71518 to the nearest 10. 8560 What is -275.9613153 rounded to the nearest one hundred? -300 Round -404486.63 to the nearest 100. -404500 What is -0.000410796602 rounded to six dps? -0.000411 What is -857545600 rounded to the nearest 1000000? -858000000 Round -880034.153 to the nearest ten thousand. -880000 What is 17270.17495 rounded to the nearest integer? 17270 What is -13504.920
{ "pile_set_name": "DM Mathematics" }
53*o - 1094. Let m(i) = -5*g(i) - 2*j(i). Factor m(x). -2*(x - 286)*(x - 1) Let x(q) be the first derivative of -5*q**6/6 - 5*q**5 + 105*q**4/4 - 115*q**3/3 + 20*q**2 + 2574. What is c in x(c) = 0? -8, 0, 1 Determine r, given that -9*r**2 - 223*r**3 - 220*r**3 - 9*r**2 + 18*r + 659*r**3 - 224*r**3 = 0. -3, 0, 3/4 Let m be 32/14 - (812/98 + -8). Suppose -6*q**2 - 37*q**3 + q**2 - 54*q + 61*q**3 - 4*q**m - 21*q**3 = 0. What is q? -3, 0, 6 Factor 186*d**3 - 2*d**4 + 0*d**4 - 4024*d**2 + 6273*d + 18432 - 20865*d. -2*(d - 48)**2*(d - 1)*(d + 4) Let q = 346539 + -346537. Find v, given that 3/4 - 3/2*v + 3/4*v**q = 0. 1 Let b be 7 - ((-190)/(-20))/((-165)/198). Factor -42/5*j - b + 2/5*j**2. 2*(j - 23)*(j + 2)/5 Let r be (50/4 + -2)*41/(6888/72). Let z(x) be the second derivative of 0*x**2 - 1/15*x**6 - 33*x - r*x**4 - 9*x**3 + 0 - 9/10*x**5. Factor z(i). -2*i*(i + 3)**3 Solve -3*n**4 + 2*n**5 + 9*n**4 + 850 + 846 - 1698 - 4*n**2 - 6*n + 4*n**3 = 0 for n. -1, 1 Let c(g) be the first derivative of g**5/100 - 7*g**4/20 + 49*g**3/10 - 3*g**2/2 - 2*g - 61. Let t(i) be the second derivative of c(i). Solve t(m) = 0 for m. 7 Let g = -351 - -329. Let c(y) = -3*y**2 - y + 10. Let f(k) = -16*k**2 - 3*k + 48. Let l(a) = g*c(a) + 4*f(a). Determine m, given that l(m) = 0. -7, 2 Factor 132 + 21*w**2 - 1/2*w**3 - 305/2*w. -(w - 33)*(w - 8)*(w - 1)/2 Let p = 9903 - 148544/15. Let q(j) be the second derivative of 28*j - 1/6*j**4 + p*j**6 + 0*j**2 - 1/21*j**7 + 0*j**3 + 1/10*j**5 + 0. Factor q(f). -2*f**2*(f - 1)**2*(f + 1) Let s = -359006 - -12564149/35. Let p = -143/5 - s. Solve 2/7*t**4 + 0 + p*t + 6*t**3 - 50/7*t**2 - 6/7*t**5 = 0. -3, 0, 1/3, 1, 2 Let p(z) be the third derivative of 1/320*z**6 + 0*z**3 - 4*z**2 + 0*z + 1/8*z**4 + 0 + 1/16*z**5 - 1/560*z**7. Factor p(r). -3*r*(r - 4)*(r + 1)*(r + 2)/8 Find q such that 340/3 - 626/3*q - 4/3*q**3 - 106/3*q**2 = 0. -17, -10, 1/2 Factor -235/4 + 1/8*x**2 - 37/8*x. (x - 47)*(x + 10)/8 Let d = -1113626/7 - -159413. Let g = d - 323. Find r, given that -2/7*r + g - 2/7*r**2 = 0. -2, 1 Let b(s) be the second derivative of 187*s + 0*s**2 + 0 + 70/3*s**3 + 1/3*s**4. Factor b(p). 4*p*(p + 35) Let f = 568951/101144 + -2/12643. Find x, given that -f*x - 39/8*x**2 - 3/4 = 0. -1, -2/13 Let q(i) = -i**3 + i**2 + 1. Let t(u) = 3*u**4 - 11*u**3 - 4*u**2 + 24*u - 7. Let s = -317 + 322. Let j(r) = s*q(r) - t(r). Factor j(k). -3*(k - 2)*(k - 1)**2*(k + 2) Let d be (-969*2/4)/(35/(-10)). Let t = -138 + d. Factor 3/7*m**4 + 9/7*m**3 + t*m**2 - 6/7 - 9/7*m. 3*(m - 1)*(m + 1)**2*(m + 2)/7 Let y(s) = s**2 + 12*s - 7. Let t = 182 + -179. Let u(z) = 4*z**2 + 58*z - 34. Let f(k) = t*u(k) - 14*y(k). Let f(p) = 0. What is p? 1, 2 Suppose -165 = -20*b - 13*b. Let c(r) be the third derivative of 5/72*r**4 - 1/180*r**b + 0 - 2/9*r**3 + 0*r + 18*r**2. Suppose c(f) = 0. What is f? 1, 4 Let p(s) be the second derivative of s**8/224 + 3*s**7/70 + 3*s**6/20 + s**5/5 + 24*s**2 + 2*s + 66. Let k(m) be the first derivative of p(m). Factor k(y). 3*y**2*(y + 2)**3/2 Let y = -76144 + 228437/3. Factor 10/3*d - 5 + y*d**2. 5*(d - 1)*(d + 3)/3 Let 6/5*s**3 - 18/5*s + 3*s**2 + 0 - 3/5*s**4 = 0. What is s? -2, 0, 1, 3 Let c = -3007 + 3021. Let l(o) be the first derivative of 25*o**3 + 125/8*o**4 + c + 4*o + 15*o**2. Let l(u) = 0. What is u? -2/5 Let s(g) = -g + 65 - g - g**2 - 66. Let f(h) = -20*h. Let r(d) = -f(d) + 5*s(d). What is j in r(j) = 0? 1 Let c = -1039 + 1049. Determine f, given that -218*f**5 + 106*f**5 - 98*f**3 + 110*f**5 + c*f**4 + 18*f**4 = 0. 0, 7 Let a(x) = 8*x**3 + 28*x**2 + 80*x + 72. Let y(r) = 9*r**3 + 27*r**2 + 80*r + 74. Let o = -12 + 7. Let g(n) = o*a(n) + 4*y(n). Factor g(f). -4*(f + 2)**2*(f + 4) Let j(a) be the second derivative of a**7/336 - 3*a**6/20 + 37*a**5/40 + 33*a**4 + 484*a**3/3 + 82*a. Find r, given that j(r) = 0. -4, 0, 22 Let f(g) = g**2 + 2*g - 2. Let u be f(-2). Let d be (u + 2)/(-2 + 1 - -3). Solve -z + 1/3*z**2 + d = 0. 0, 3 Let d be 7 + (-12)/54*-120*(-25)/100. Suppose 0 = 2*h - 6*h. Suppose 0*l**2 - 1/3*l**3 + h + d*l = 0. Calculate l. -1, 0, 1 Let v = 382587 - 382587. Factor -351/2*d**3 + v - 3/2*d**5 - 486*d**2 - 27*d**4 - 486*d. -3*d*(d + 3)**2*(d + 6)**2/2 Let a = 8/13795 - -23023831/41385. Let m = 567 - a. Factor -16 - 4/3*p**3 + 4/3*p**2 + m*p. -4*(p - 2)**2*(p + 3)/3 Determine o so that 100*o**2 + 5*o**3 + 35*o**2 + 245*o + 325*o + 440 = 0. -22, -4, -1 Solve 32*n**2 + 129/4*n + 0 - 1/4*n**3 = 0 for n. -1, 0, 129 Let r(w) be the first derivative of -2/9*w**3 + 1/12*w**2 - 194 + 2/3*w - 1/24*w**4. Factor r(l). -(l - 1)*(l + 1)*(l + 4)/6 Suppose 27 + 72 = 9*y. Solve -12*h + y - 6*h + 2*h**2 + 30*h + 19 + 4*h = 0. -5, -3 Let b be (-2)/24 - (6/(-9) - (-19)/(-228)). Let k(x) be the second derivative of -3*x + b*x**3 - 1/6*x**4 + 0 + 0*x**2. Factor k(i). -2*i*(i - 2) Let o(s) = s + 12. Let u be o(12). Let f(x) be the first derivative of 0*x + x**3 + 0*x + 0*x - 3*x - u. Factor f(j). 3*(j - 1)*(j + 1) Let f(h) be the second derivative of h**4/12 + 134*h**3/3 + 8978*h**2 + 1052*h. Determine l, given that f(l) = 0. -134 Let d(h) be the second derivative of 2/63*h**4 - 4/105*h**5 - 1/441*h**7 + 1 + 0*h**2 + 1/63*h**6 + 0*h**3 + 3*h. Factor d(m). -2*m**2*(m - 2)**2*(m - 1)/21 Let q(n) = 54*n - 538. Let c be q(10). Let u(v) be the second derivative of -1/21*v**4 + 1/42*v**6 + 0*v**c + 2/35*v**5 + 0*v**3 + 0 + 30*v. Factor u(j). j**2*(j + 2)*(5*j - 2)/7 Let l(y) = y**3 + 6*y**2 - 29*y - 72. Let s be l(-2). Factor 1/2*o - 1/2*o**3 - 1 + o**s. -(o - 2)*(o - 1)*(o + 1)/2 Let x(z) be the second derivative of z**7/126 - 11*z**6/90 + 7*z**5/20 + 35*z**4/36 - 47*z**3/9 + 8*z**2 + z - 2. Determine g, given that x(g) = 0. -2, 1, 3, 8 Let g(z) be the third derivative of -z**7/1365 + 11*z**6/260 - 61*z**5/390 - 11*z**4/52 + 62*z**3/39 - 130*z**2 + 2*z. Determine p, given that g(p) = 0. -1, 1, 2, 31 Let f be 0*(1 - (-15)/(-40)*(3 + -1)). Let c(u) be the first derivative of -u**3 + 0*u + f*u**2 - 22 - 15/4*u**4. Suppose c(p) = 0. What is p? -1/5, 0 Solve 12/5*r + 3/5*r**2 - 96/5 = 0. -8, 4 Let t(z) be the third derivative of 14*z**6/255 - 47*z**5/255 + 35*z**4/204 + z**3/17 - 4126*z**2. Suppose t(u) = 0. Calculate u. -1/14, 3/4, 1 Let y = -214463/66 - -6499/2. Let h(q) be the second derivative of 0*q**2 + y*q**3 + 1/22*q**4 + 30*q + 1/110*q**5 + 0. Let h(n) = 0. Calculate n. -2, -1, 0 Suppose 64 - 1152*p - 856*p**2 + 1740*p**2 + 2738*p**3 + 4000*p**2 = 0. What is p? -2, 4/37 Let y(i) be the first derivative of 1/12*i**5 + 0*i**3 - 7/2*i**2 + 0*i + 35 - 5/8*i**4. Let m(n) be the second derivative of y(n). Factor m(o). 5*o*(o - 3) Let i(t) be the second derivative of -t**5/50 + 23*t**4/30 + 7*t**3 + 81*t**2/5 - 1673*t + 2. Factor i(y). -2*(y - 27)*(y + 1)*(y + 3)/5 Let l = 1595/2136 + -57/712. Factor -20/3*a - 22/3 + l*a**2. 2*(a - 11)*(a + 1)/3 Let d be (2108/3720 - (-5)/(-6))*-6. Factor -d*k + 6/5 + 2/5*k**2. 2*(k - 3)*(k - 1)/5 Let y(f) = -2*f**2 + 621*f - 3350. Let s be y(305). Factor -2/15*p**s - 22/5*p + 6/5 + 92/15*p**2 + 6/5*p**4 - 4*p**3. -2*(p - 3)**2*(p - 1)**3/15 Let 9 + 79/2*o - 9/2*o**2 = 0. What is o? -2/9, 9 Let r be ((-1)/(-5) - (18684/(-1680) - -8)) + (-6)/(-14). Factor -r*y**2 - 1/2 + 31/4*y. -(y - 2)*(15*y - 1)/4 Let j(g) be the third derivative of 0*g + 0 - 76*g**2 + 1/45*g**5 + 8/3*g**3 - 1/180*g**6 + 5/9*g**4. Factor j(t). -2*(t - 6)*(t + 2)**2/3 Let y(h) = 2*h**3 - 3*h**2 + 2*h - 5. Let t = 67 + -65. Let z be y(t). Factor 2/3*i**z - 14/3*i**2 + 0*i + 0. 2*i**2*(i - 7)/3 Factor 202 + 158 - 16*r - 37*r**2 + 42*r**2 + 151*r. 5*(r + 3)*(r + 24) Suppose 5*n = 4*t - 695, 5*n = -15*t + 14*t + 205. Factor -10*h**2 + 7 - t*h - 15*h**2 + 101 - 6*h**3 - 15*h**2 - 29*h**2. -3*(h + 6)**2*(2*h - 1) Suppose -o - l = -16, -4*o + 688*l - 34 = 685*l. Factor -2/11*b**3 + 0*b + 0 - 26/11*b**o. -2*b**2*(b + 13)/11 Let o(q) = 5 + 5*q - 21*q - q**3 + 65*q**2 - 55*q**2 - 3. Let f be o(8). Factor 10*s**2 - 14*s**2 + f*s**4 - 10*s + 10*s**2 + 10*s**3 - 8. 2*(s - 1)*(s + 1)**2*(s + 4) Let b be 46389/29127 + (-8)/584. Let 32/19 + b*c - 2/19*c**2 = 0. Calculate c. -1, 16 Let i(s) be the second derivative of 841*s**5/30 - 319*s**4/3 + 160*s**3/3 - 32*s**2/3 + s - 738. Suppose i(u) = 0. Calculate u. 4/29, 2 Suppose 36 = 144*p - 138*p. Let g b
{ "pile_set_name": "DM Mathematics" }
pose 2*l = 3*i + 3 - 15, 8 = 2*i - 5*l. Let t be 6 - (-1 + i - 1). List the prime factors of 52/t + -2 + 0. 11 Let v = -6 - -10. Suppose -v*s + 35 = s. What are the prime factors of s? 7 Let f = -79 + 156. List the prime factors of f. 7, 11 Let a(t) = 2*t + 28. What are the prime factors of a(-9)? 2, 5 Let v = -37 + 97. Suppose v = -3*t - t. What are the prime factors of 1/(-2 + (-33)/t)? 5 Let i(a) be the second derivative of -7*a**3/3 - 6*a. List the prime factors of i(-1). 2, 7 Let o(b) = -b**3 + 5*b**2 + 8*b - 6. Let n be o(6). Let g(u) = -u**2 + 9*u - 6. What are the prime factors of g(n)? 2, 3 Let h(c) = 12*c**2 + 2*c + 4. Let z(q) = q**2 - 1. Let j(t) = h(t) + z(t). List the prime factors of j(-2). 3, 17 Let i = 92 + -66. List the prime factors of i. 2, 13 Let a(l) = -14*l - 3. List the prime factors of a(-6). 3 Let w = -48 - -70. What are the prime factors of w? 2, 11 Suppose 15 = -2*r + 127. What are the prime factors of r? 2, 7 Let y = -4 - -3. Suppose 0 = 5*s - 4*m - 22, -3 + 12 = -3*m. List the prime factors of s/3*(-9)/y. 2, 3 Suppose c = -2*g - c + 2, 22 = 4*g - 5*c. Suppose g*u - 33 = -h, h - 3*u - 39 = -h. What are the prime factors of h? 2, 3 Let j(s) be the first derivative of s**4/4 - 5*s**3/3 - s**2 - 3*s - 4. List the prime factors of j(6). 3, 7 What are the prime factors of ((-18)/15)/(1/(-10))? 2, 3 Let t(y) = -12*y - 1. Let a be t(-1). Let h = 17 - a. List the prime factors of h. 2, 3 Suppose 3*c = s - 36, 2*s + 2*c = -0*s + 48. Suppose -53 = -5*o + 2*z + s, -3*o + z + 48 = 0. What are the prime factors of o? 2 Suppose -5*d + 3*d = -x - 16, 62 = 5*d + 3*x. What are the prime factors of d? 2, 5 Let m(t) = 2*t - 9. Let z be m(7). Let o(k) = 2*k**2 - 6*k - 2. List the prime factors of o(z). 2, 3 Suppose 0 = -2*o + 11 - 1. Suppose 0 = -o*t + 190 - 50. What are the prime factors of t? 2, 7 Let s(i) = -2*i - 10. List the prime factors of s(-6). 2 Let w = 76 + -20. List the prime factors of w. 2, 7 List the prime factors of ((-2 - 184/(-12)) + 1)*3. 43 What are the prime factors of (-108)/(-15)*90/12? 2, 3 Let b(l) = -l + 3. Let m be b(3). Suppose -n - 4*h + 13 = -m*n, 5*n + 2*h = 83. List the prime factors of n. 17 What are the prime factors of 18/(-45) - (-282)/5? 2, 7 Let a = 19 + -38. Let f = -11 - a. List the prime factors of f. 2 Suppose c + 42 = -3*x, 2*x = -4*c - 3*x - 147. Let g be (-4)/22 - (-93)/c. List the prime factors of (-4 + 1)*g/1. 3 Suppose -t = -3*t + 4. Suppose 0*s = -t*v + 2*s + 22, -4*v + 12 = 4*s. List the prime factors of v. 7 List the prime factors of 7*20*(-102)/(-85). 2, 3, 7 Let b be 1/6 - 33/(-18). Suppose 0 = -b*h + 2, h = -2*u + 7 - 30. List the prime factors of (-201)/u + (-2)/(-8). 17 What are the prime factors of ((-3)/1 - -2) + 28? 3 Let s(z) = 3*z + 2. Let g be s(2). Suppose -5*y + 23 = g. Suppose 4*f - y*x - 32 = 0, f + 5*x = -1 + 9. List the prime factors of f. 2 Let d(x) = -x**3 + 7*x**2 + 3. Let r be d(7). Suppose 3*c = -j + 32, 5*j + 41 = 3*c - 15. Suppose 0 = r*u - 12 - c. What are the prime factors of u? 2 Suppose 0 = -2*z - 5*o + 104, 3*o + 2*o = 10. Let x be 101/(-3) - 4/(-6). Let p = x + z. List the prime factors of p. 2, 7 Suppose -5*r - 4 = -24. List the prime factors of 35/10*r/2. 7 Suppose 4*j - 26 = 6*j. Let y = 23 + j. List the prime factors of y. 2, 5 Suppose -3*z - 19 = -1. Let s = z - -8. Suppose 2*w - 3*q = -s + 1, -4*w + 8 = -4*q. List the prime factors of w. 7 What are the prime factors of 1*13*6/6? 13 Suppose 5*b + 18 - 3 = 0. Let z(m) = -9*m - 4. List the prime factors of z(b). 23 Let z(b) = b**2 - b - 3. Suppose -71 - 65 = -4*v. Suppose -v = q + 5*f - 11, 2*q - 14 = 5*f. List the prime factors of z(q). 3 Suppose 5*n = -10, n + 0*n - 61 = -3*b. Let m = b - 7. List the prime factors of m. 2, 7 Let w(h) = 3*h**2 - 3*h - 3. Let j be w(-2). Let z = -22 + 48. Let p = z - j. List the prime factors of p. 11 Suppose -15*m - 1014 = -2994. What are the prime factors of m? 2, 3, 11 Let s be 190/6 - (-7)/21. Let y = 50 - s. List the prime factors of y. 2, 3 Suppose 5*a = 6*a - 25. What are the prime factors of a? 5 Let y(x) = -4*x - 1. Let t be y(-1). Suppose t*b - 16 = 8. What are the prime factors of b? 2 Let w(b) = -17*b - 5. What are the prime factors of w(-4)? 3, 7 Suppose -5*n + 14 - 4 = 0. What are the prime factors of n? 2 Suppose 5*o - 70 = u, -6*o + 4*o + 46 = -4*u. Suppose a + 0*a - o = 0. Let v = a + -6. List the prime factors of v. 7 Suppose -z = -9 - 24. List the prime factors of z. 3, 11 Suppose -2*a - 12 = -6*a. Let i(p) = p**2 + 12 - 2*p + 0*p**2 + 3*p - p**a. What are the prime factors of i(0)? 2, 3 Suppose 0 = -5*v + 12 + 33. Let a = 49 - v. Let d = 56 - a. List the prime factors of d. 2 Suppose 6 = 4*h - h. Suppose h*f = -5*x + 22, f = -0*f - 4. What are the prime factors of (-28)/(-8) - (-3)/x? 2 Let q be ((-20)/3)/(2/6). Let v = -10 - q. List the prime factors of v. 2, 5 Suppose q + 4 + 5 = 0. Let p = q - -18. What are the prime factors of p? 3 Let m(n) = -7*n + 9 - 2*n**3 - n**3 + 4*n**3 - 5*n**2. Let s = -1 + 7. What are the prime factors of m(s)? 3 Let s = 6 - 15. Let r(g) = g**3 + 8*g**2 - 12*g + 2. What are the prime factors of r(s)? 29 Suppose -2*g - 10 = -o, -o + 4*g + 2 = -0. Let x = o - 13. List the prime factors of x. 5 Let l(a) be the third derivative of a**4/24 + 4*a**3/3 + 4*a**2. Let v be l(-6). Suppose -v*s + 24 = s. What are the prime factors of s? 2 List the prime factors of (-23)/(-4) - (-4)/16. 2, 3 Suppose -4*l + 166 = 2*z, -4*z - 163 = -4*l - 3. What are the prime factors of l? 41 Let l(j) = -j**3 + j**2 + j + 1. Let r(p) = 5*p**3 - 12*p**2 - p - 9. Let g(f) = 6*l(f) + r(f). List the prime factors of g(-7). 11 Let i be 3/(-2)*(-5 + -1). Let m be 1*i*(-13)/(-3). Suppose 4*y - 9 - m = 0. List the prime factors of y. 2, 3 Let x(g) = -6 + g**2 - 5 - 9*g - 2*g**2 + 1. List the prime factors of x(-7). 2 Suppose -2*x = t - 2, 5*t + 1 + 3 = 4*x. What are the prime factors of (-25 - -2)/(t + -1)? 23 Let d be (0 + 12/8)*(-8)/6. Let n = -20 - -4. List the prime factors of 0/(1 - d) - n. 2 Suppose 5*b + 41 = -34. Suppose 0*o + 2*p - 82 = -3*o, 5*o + 5*p = 145. Let f = b + o. What are the prime factors of f? 3 Let m be 1*3/(-1) + 72. What are the prime factors of m/(-12)*(-8)/2? 23 Suppose g = 5*b + 27, b + 4*b = 5*g - 35. Suppose 2*r = g + 22. Suppose z = 4*p - 14 + 40, r = -4*p. What are the prime factors of z? 2, 7 Let t be (25/(-10))/((-1)/(-14)). Let x = t + -9. Let b = -21 - x. What are the prime factors of b? 23 Let g(o) = -45*o**2 + o. Let s be g(1). Let p be 4/(-10) + s/(-10). Suppose -5*c + 1 = -3*n, 0 = -p*c + 8 + 12. What are the prime factors of n? 2 Suppose -6*x - 21 + 183 = 0. List the prime factors of x. 3 Let p = -8 + 15. Let s = p + -4. What are the prime factors of s? 3 Suppose 3475 = 18*r + 163. List the prime factors of r. 2, 23 Suppose -12*n + 1832 = -4*n. What are the prime factors of n? 229 Suppose 59 = -w + 23. Let s = -22 - w. What are the prime factors of s? 2, 7 Let q = -1 + 1. Suppose o - 4*t + t - 22 = q, -o + 32 = -5*t. List the prime factors of o. 7 Let t(m) = -23*m - 10. Let f(n) = 12*n + 5. Let d(b) = 7*f(b) + 4*t(b). Let r be d(-6). Let a = r + -23. List the prime factors of a. 2, 5 Let f(a) = -a**3 - 4*a**2 + 2*a. Let g be f(-5). Let j = 28 - g. Suppose -s + 4*c + j = 0, 5*s - 5*c + 33 - 98 = 0. List the prime factors of s. 13 Let a(b) = -9*b - 4. Let y(w) = -8*w - 4. Let x(g) = 4*a(g) - 5*y(g). List the prime factors of x(7). 2 Let a = 132 + -90. Suppose 0 = -2*x + 4*l + a, -4*l = 4*x - l - 106. List the prime factors of x. 5 Let k(b) = b**3 + 8*b**2 + 5*b + 6. List the prime factors of k(-7). 2, 5 Let u(o) = -7*o + 3. Let n be u(2). Suppose s - 2*l + 5 + 10 = 0, -4*l - 5 = 3*s. Let f = s - n. List the prime factors of f. 2 Let y be (-20)/(-6) - 3/9. Suppose 0 = -2*z - 2*p + 2, 3*p + 5 = 3*z - 4. Suppose -2*u - c + 17 = 0, y*c - c + z = 2*u. List the prime factors of u. 2, 3 Suppose -u = f - 32 + 2, 5*u + f - 170 = 0. List the prime factors of u. 5, 7 Suppose 0 = -4*h - 3*r - r + 132, -4*r = 5*h - 168. List the prime factors of h. 2, 3 Let b(o) be the first derivative of o**4/4 + 5*o**3/3 - 5*o**2/2 - 3*o - 3. Let c be b(-6). Let i = -3 - c. List the prime factors of i. 2, 3 Let w be 4/(-2) + 11 + -3. What ar
{ "pile_set_name": "DM Mathematics" }
4, 2, -191, 3? 0.05 Which is the nearest to 2/7? (a) -0.02 (b) -0.5 (c) 19.55 (d) 4 a Which is the nearest to -0.04? (a) -29 (b) 32/43 (c) 1 (d) -1 b Which is the nearest to 2/3? (a) 5 (b) -71 (c) 0.1 (d) 0.9 d Which is the nearest to 4? (a) 38 (b) 21 (c) -3 (d) 1 (e) -3.2 d What is the nearest to 2/15 in -0.1, 3, 5, 4, -2/21? -2/21 What is the nearest to 2/5 in 8, 5, -187, 4? 4 Which is the closest to -12.88? (a) -3 (b) -0.2 (c) -30 a Which is the closest to 1? (a) -15 (b) -4/5 (c) 3/2 (d) -6 c What is the nearest to 3 in -2/3, 42, -23/2? -2/3 Which is the closest to 0.1? (a) 333 (b) 1/21 (c) 0.5 b Which is the closest to -119? (a) -0.26 (b) -3/4 (c) -1/4 (d) -3 d Which is the nearest to -1? (a) -2 (b) -4 (c) -30256.9 a Which is the closest to 0.0129? (a) 0 (b) 0.4 (c) -0.4 (d) 4/3 (e) 11/10 a Which is the nearest to -0.9? (a) 92 (b) 0.8 (c) -0.05 c Which is the closest to 3/8? (a) -19 (b) 1 (c) 1/11 (d) 0.5 (e) -0.1 d What is the nearest to -0.14 in 1/3, 1/4, 0.09, 5? 0.09 Which is the nearest to 0.2? (a) -294 (b) -3 (c) 20/7 (d) -4 (e) -1/3 e Which is the nearest to 0.1? (a) 4 (b) -2 (c) 0.2 (d) -2/39 (e) -2.9 c Which is the closest to 5? (a) 0 (b) 17 (c) -0.05 a What is the nearest to 2 in -13, -1.22, 0.2? 0.2 Which is the closest to 0.2? (a) -3 (b) -1 (c) -21 b What is the nearest to -3 in -1/6, -0.4, -2? -2 Which is the nearest to 1/3? (a) 35 (b) 2/15 (c) -4 (d) 0.1 (e) 1.5 b Which is the closest to 0.18? (a) -1/4 (b) 54.3 (c) 4 (d) 1/2 d Which is the closest to 6? (a) 0.5 (b) -1/5 (c) 108 a Which is the closest to 3/4? (a) 0.03 (b) 6/7 (c) 0.07669 (d) 4 b What is the nearest to 1/3 in -0.06635, 0.2, -4, -5? 0.2 What is the nearest to 0.6 in -16, -1/3, 40? -1/3 Which is the nearest to 0.55? (a) -3/5 (b) -0.4 (c) 5 (d) -26 (e) 12 b What is the nearest to -0.573 in 6, -4, 2, -1? -1 Which is the nearest to 0? (a) 3178 (b) 5/2 (c) 0.03 c Which is the closest to -17? (a) -5 (b) 1/11 (c) -0.4 (d) -2 (e) -0.16 a Which is the closest to 0.1? (a) 2/3 (b) -0.35 (c) 0 (d) -3 (e) -6 c What is the closest to -1 in -1/7, 3/10, -37452? -1/7 Which is the nearest to 32? (a) -3 (b) -5 (c) 4/7 (d) 1/8 (e) -8 c What is the nearest to 4 in -2, 33.1, -1/4, 0.7, 0.4? 0.7 Which is the closest to -1/4? (a) -0.141 (b) 0.2 (c) -0.2 (d) 12 (e) -2/13 c Which is the closest to 1? (a) 0.3 (b) 1 (c) 34/7 (d) -4 (e) 4 b Which is the closest to -3/7? (a) -3/5 (b) -2 (c) -0.05 (d) 4 a Which is the nearest to 1? (a) -1 (b) 3/11 (c) -0.17 (d) 1 (e) 71/4 d What is the nearest to 4/3 in 1, -4, 0.5, -0.0422, 0? 1 What is the nearest to -2 in -3, 2, -8, 23/4, -0.5? -3 Which is the closest to -0.7? (a) 1 (b) 16 (c) -3 a Which is the closest to -2? (a) -0.2 (b) 2 (c) -12 (d) -2/11 a Which is the nearest to -110? (a) -14 (b) -2 (c) 5 a Which is the closest to -2? (a) -1.33 (b) 1 (c) -1/2 (d) -1 a Which is the closest to 46/7? (a) 0.3 (b) 41 (c) -2/5 a What is the nearest to -8 in 5, 2/19, 1/6, -0.06, 2/553? -0.06 What is the closest to 1/55 in -6, -2, -12? -2 What is the nearest to 0.1 in 4, 53.6, 2, -5? 2 What is the closest to -63.33 in 1/4, 2, -0.2? -0.2 Which is the closest to -127? (a) 0.2 (b) -2/3 (c) 5 (d) -1/3 b Which is the nearest to 0? (a) -5 (b) -0.037 (c) 64 (d) -6/7 b Which is the nearest to -1? (a) -0.4 (b) 11/4 (c) -1 (d) 1/5 (e) 98 c Which is the closest to 0? (a) -12 (b) 1/263 (c) 5 b What is the nearest to 2 in 1, 2, -206, 0.18, -0.3? 2 What is the nearest to 2 in -38, 1, 2, -1/35, -2? 2 Which is the closest to 11? (a) 1 (b) -115.7 (c) -3 (d) -5 a Which is the closest to -1? (a) 0.2 (b) -101/11 (c) -5 a Which is the closest to -64? (a) 2/5 (b) 0.003 (c) 0 c What is the nearest to -8 in -2/7, -0.265, 3/5? -2/7 What is the nearest to 1 in 3, 120, -1/34, -5, 2/7? 2/7 Which is the closest to 0.2? (a) -5/3 (b) -75 (c) 2 c Which is the nearest to -14? (a) -3/2 (b) 0.4 (c) 0.5 (d) -1/27 a Which is the nearest to 2/3? (a) -2 (b) 1 (c) 3 (d) 58 (e) 4 b What is the closest to 3 in -5, -2.7, -4, -0.2? -0.2 Which is the closest to 1.06? (a) 12 (b) 4 (c) -3 (d) -2/9 d What is the closest to -1 in 3, -0.9, -1/6, -0.4? -0.9 Which is the closest to -106/7? (a) 3 (b) 2/13 (c) 14/11 b Which is the closest to -111? (a) 24 (b) 2 (c) 4 (d) -2/3 d Which is the nearest to 1/8? (a) -0.04 (b) 1 (c) -20/3 (d) 3 a What is the nearest to -4417 in -1, -29, 5? -29 Which is the nearest to 4/5? (a) 4 (b) 0.7 (c) 0.4 (d) -1/2 (e) -0.18 b What is the closest to 4 in 50/3, 1, -1, 0.5? 1 Which is the closest to 3/4? (a) -1/4 (b) -0.4 (c) -7/6 (d) -1 a What is the nearest to -6 in -27, 21/2, 1? 1 Which is the nearest to 0? (a) -27 (b) 2/3 (c) 2 (d) -1 b What is the closest to -1/2 in 3/8, -518, -0.1052, 0.5? -0.1052 Which is the nearest to 3/8? (a) -3/8 (b) -0.2 (c) 2/7 (d) -2/47 (e) 2/3 c Which is the closest to -2/29? (a) 4 (b) 3 (c) -186 b Which is the closest to 6? (a) 61 (b) 1 (c) 5 (d) -1 c Which is the nearest to -2? (a) -3/2 (b) -16 (c) -208/3 a What is the closest to -0.8 in -0.18, 1/5, 8, 0, 1/4? -0.18 Which is the closest to -1? (a) 5 (b) 0.1 (c) -0.814 (d) -4 (e) -1 e Which is the nearest to -2158? (a) -0.3 (b) 0.4 (c) -16 c What is the nearest to -4.6 in -0.2, -5, 2/5, -1, 71? -5 Which is the closest to -10? (a) 187 (b) 0.5 (c) 0.1 (d) -0.05 (e) -0.5 e What is the nearest to 9 in 0.3, 0.57, 3, 12, 0? 12 What is the closest to -6 in -8, -10, 1, 0.4? -8 What is the nearest to -6 in -0.5, 1632, -4, 2/13, 0.4? -4 Which is the nearest to 0.2? (a) 317 (b) 1/4 (c) 4 (d) 0 b Which is the nearest to 0.08? (a) 9.218 (b) 4 (c) -3 (d) 5 c Which is the nearest to -2/5? (a) 3 (b) 17514 (c) -0.2 (d) -1/2 (e) 1 d Which is the nearest to -1? (a) 2/107 (b) -2/9 (c) 12 (d) -1 d What is the nearest to -3 in 476, 50, 2/9? 2/9 Which is the closest to -12/7? (a) 0.3 (b) -5/2 (c) 1.4 (d) 0.5 b Which is the nearest to -0.4? (a) 6/31 (b) 0.12 (c) -2 b Which is the nearest to 2? (a) 2 (b) -30 (c) 4 (d) -3/7 a What is the nearest to 0 in 35, -50, -65, 2? 2 What is the nearest to 2 in 0.01, 153, 13? 0.01 Which is the nearest to 0.1? (a) -3/5 (b) 3 (c) 1.66 (d) 1 (e) -0.02 e Which is the closest to 6? (a) 1 (b) -5 (c) 93 (d) -0.4 (e) 128 a What is the closest to 23 in 6/5, 11, -0.001, -2? 11 Which is the nearest to -7? (a) -17062 (b) 0.1 (c) -5 (d) -0.4 c Which is the nearest to -0.2? (a) 16 (b) 2 (c) -0.2 (d) -0.4 c Which is the closest to 1? (a) 1.35 (b) -1/4 (c) -0.1 (d) -2/3 a What is the closest to 1 in -1.2, 0.4, 2, 0.435? 0.435 Which is the closest to 0.338? (a) 16 (b) -0.3 (c) 0.1 (d) -10.8 c Which is the nearest to 2? (a) -0.03 (b) -2 (c) -18 (d) 1/55 d What is the closest to -30/19 in 4, 1/9, 0, -11/28? -11/28 What is the closest to -1 in -9/5, -58, -0.7, -2? -0.7 What is the closest to 1/4 in 3, -544040, -1/4? -1/4 Which is the closest to 0? (a) -0.5 (b) 5 (c) 0.252 (d) -0.3 c What is the nearest to 0.27 in 1, -34/9, -45? 1 What is the closest to 10 in -3, -0.169, 5/3, -5, -0.2? 5/3 What is the nearest to 4/19 in 1/2, 28, -11? 1/2 Which is the nearest to 0.05? (a) 2.1 (b) 6/7 (c) 4 b Which is the nearest to -2/7? (a) 5 (b) 988 (c) 0.1 (d) -40 (e) -3/2 c Which is the nearest to -2/5? (a) -5 (b) 1 (c) -5687 (d) -0.1 d What is the nearest to -1/5 in -5, -0.4, -33, -260, 3? -0.4 Which is the nearest to 2/9? (a) -2 (b) -0.9 (c) -10 (d) -1/811 d What is the closest to -3 in 25607, 3, 2/3, 4, 1? 2/3 Which is the closest to 1/19? (a) 2644 (b) -2/5 (c) 1 b Which is the nearest to -1? (a) 2 (b) -487 (c) -18 (d) 3 a Which is the closest to -2? (a) 2/5 (b) -2/7 (c) -7353 b What is the closest to 6/11 in 0, -4/7, 6/11, -5, -2? 6/11 Which is the nearest to -2? (a) -24 (b) 7 (c) 770 b What is the closest to 1 in -19, 80, -5, 3, 5? 3 Which is the nearest to -10/9? (a) 5 (b) -6 (c) -1/11 (d) 5/7 (e) 1/6 c What is the closest to -2 in -1, 23, 2/15, 2/7, 2? -1 Which is the nearest to 0.1? (a) 10 (b) -1.6 (c) 3 (d) 0 (e) -0.1 d What is the closest to -5 in 5, 20, -3/2, -3? -3 Which is the cl
{ "pile_set_name": "DM Mathematics" }
st value? (a) -487 (b) -4 (c) 0.2 (d) -26 d Which is the second biggest value? (a) 2/17 (b) 11 (c) -5 (d) -1 (e) 19 b Which is the smallest value? (a) 0.1 (b) 0.2 (c) 4 (d) -31 (e) -2/11 d What is the biggest value in 2/5, -99, 4? 4 Which is the third biggest value? (a) -0.4 (b) 3 (c) -30 (d) -25 (e) -0.3 a What is the second biggest value in -0.3, -0.5, 6/11, 2/7? 2/7 Which is the third biggest value? (a) 1 (b) -28 (c) 31 b Which is the third biggest value? (a) 12 (b) 1/2 (c) 0.3 (d) -36 c Which is the fifth biggest value? (a) -4 (b) 0.3 (c) 2/11 (d) -12/5 (e) 0 a Which is the fourth smallest value? (a) -1 (b) 22/5 (c) -0.01 (d) -0.5 b What is the third smallest value in -216, -2.7, -2? -2 What is the second biggest value in 13, 20, 2/7, -1/5? 13 What is the fifth biggest value in -0.1, 0.06, -2/3, 4/9, 4? -2/3 What is the smallest value in 0.4, -1/6, -1, -0.5? -1 What is the biggest value in -5, 6, 1/3? 6 What is the smallest value in 2/9, 51, -3? -3 Which is the third biggest value? (a) -3 (b) 1/3 (c) -5 (d) -4 d What is the second biggest value in 2/7, 2, -3? 2/7 Which is the second biggest value? (a) 48 (b) -1 (c) 3 c Which is the third smallest value? (a) -0.5 (b) 2/23 (c) 0 (d) -0.3 (e) 4 c What is the second smallest value in 2, -3, 5, -1? -1 Which is the second biggest value? (a) -12 (b) 0 (c) 1/4 b Which is the third smallest value? (a) -1 (b) 2/3 (c) 793 (d) 2 d Which is the second smallest value? (a) -4/15 (b) -3/7 (c) -6 b Which is the smallest value? (a) 34 (b) -0.2 (c) 5 (d) 0.16 (e) 3 b What is the smallest value in 15, 0.267, 3/2? 0.267 Which is the biggest value? (a) 3 (b) -0.4 (c) 46 c Which is the biggest value? (a) -0.5 (b) -0.3 (c) 24 c Which is the second biggest value? (a) 2/15 (b) -2 (c) -2/9 (d) -6 (e) -1 c Which is the biggest value? (a) 0.9 (b) 5 (c) 4 (d) 12 (e) -2 d What is the biggest value in -1/6, 239, 2? 239 What is the fourth smallest value in -5, -0.13, -1/4, 3/8? 3/8 What is the smallest value in -0.2, 0.1, -7, -37? -37 What is the fifth smallest value in -5, -0.2, -1, 0.08, -2? 0.08 Which is the third smallest value? (a) 0.21 (b) 0.2 (c) -0.7 a What is the second smallest value in 22, -7, -3, 4? -3 What is the second biggest value in 19, 16, 0.16? 16 Which is the smallest value? (a) 0 (b) 3 (c) -4 (d) 4 c What is the third biggest value in -0.5, 1, 0.3, -0.02? -0.02 What is the second smallest value in -7, -4, 168? -4 What is the second smallest value in -880, 3, -4? -4 What is the third smallest value in 2/11, 2/3, 5, -5? 2/3 Which is the fourth smallest value? (a) 0.1 (b) 3 (c) 1/3 (d) -0.3 b What is the fourth biggest value in -3, -35, -0.1, -0.4? -35 Which is the second biggest value? (a) 2/11 (b) -2/5 (c) 1 (d) 0 (e) -4 a What is the biggest value in 5, 6, -0.01? 6 What is the second biggest value in 1, 2, -213? 1 What is the third biggest value in -0.2, 0.5, 2/17, -0.5, -18? -0.2 Which is the second smallest value? (a) 0.4 (b) -4 (c) -2 (d) 0.3 (e) -40/3 b Which is the second smallest value? (a) -111 (b) -5 (c) 2/11 (d) -0.7 b Which is the fourth smallest value? (a) -3/4 (b) -2/5 (c) 85 (d) -5 c Which is the third smallest value? (a) -0.5 (b) -2 (c) -0.2 (d) -3 a What is the second smallest value in -93/5, 0, -1? -1 What is the second smallest value in -0.01, -0.5, -22? -0.5 What is the third smallest value in 62, -0.7, -0.4? 62 What is the biggest value in -3, 0.9, 2/49, 0.4? 0.9 What is the second biggest value in -1/8, -2/21, -2/15, 0? -2/21 What is the second smallest value in -20, 5/3, -5? -5 What is the fourth smallest value in 2, -2, -8, 1/7? 2 Which is the biggest value? (a) 0.04 (b) 3 (c) 18 c What is the third biggest value in -6354, -5, -0.4? -6354 Which is the third biggest value? (a) -3/8 (b) 0 (c) 2/3 a What is the second biggest value in 2/3, 7, 3/8, 1, -0.2? 1 Which is the fourth smallest value? (a) -0.5 (b) -109 (c) -1 (d) 1/22 (e) 3 d What is the fourth smallest value in -4, 2/9, 5, 4? 5 What is the biggest value in -5, 0.5, -66, -1/2? 0.5 Which is the smallest value? (a) 5 (b) -3 (c) 2 (d) 5/3 b What is the second smallest value in 0.5, -1210, -2? -2 What is the fourth smallest value in 0, -5, -3, 0.06? 0.06 What is the fourth biggest value in 0.3, 4, 1, 3/79, -0.1? 3/79 Which is the second smallest value? (a) -6 (b) -17 (c) -0.3 (d) 4/3 a Which is the fifth smallest value? (a) -5 (b) -9 (c) 4 (d) 5 (e) -0.2 d Which is the third biggest value? (a) -3 (b) 2/7 (c) -0.3 a What is the second biggest value in 0, 2/3, 2/43, 5? 2/3 Which is the second smallest value? (a) -18 (b) 5 (c) -0.2 (d) -4 d Which is the third biggest value? (a) 4 (b) 2.66 (c) -4 (d) 0 (e) 2 e What is the second biggest value in 0.07, -12, 5? 0.07 Which is the second smallest value? (a) 17 (b) 3 (c) -0.1 b Which is the fifth biggest value? (a) -8 (b) -4 (c) -3 (d) -2/3 (e) 2 a Which is the third smallest value? (a) -2/3 (b) 2 (c) 10 (d) -21 b Which is the fourth smallest value? (a) 2 (b) 5 (c) -0.3 (d) 1 (e) 26 b Which is the second smallest value? (a) 3 (b) 1/50 (c) 4 (d) -2/9 b Which is the third biggest value? (a) -1/4 (b) -2 (c) -0.01 (d) -9 b Which is the third smallest value? (a) -5 (b) 10/9 (c) -1/6 b Which is the third smallest value? (a) 4/5 (b) -4/11 (c) 0 (d) 3 a Which is the second smallest value? (a) 3/8 (b) 4 (c) -1/8 (d) -5/3 c Which is the second smallest value? (a) -2 (b) -5 (c) -17/5 (d) 0 c Which is the second biggest value? (a) -2/5 (b) -0.3 (c) -0.1 (d) 0 c What is the second smallest value in 0.4, 3, -0.5, -12/7, 2/9? -0.5 What is the fifth biggest value in -3, 1, -2, 4, 2/3? -3 What is the smallest value in -0.6, 0.2, -51? -51 What is the fifth smallest value in 0.3, -0.5, 1, 2, -4.9? 2 Which is the second biggest value? (a) 4/3 (b) 0.3 (c) -0.3 (d) 2/11 b Which is the second smallest value? (a) -42.5 (b) -0.05 (c) -4 c What is the biggest value in -17/3, -1/5, -2? -1/5 What is the second biggest value in 5, 0, -2/7, -7? 0 Which is the fourth biggest value? (a) -0.3 (b) -2 (c) 1 (d) 0.2 b Which is the third smallest value? (a) -2/619 (b) -5 (c) 3 c Which is the third smallest value? (a) 1/5 (b) 4 (c) -5/2 (d) -2 (e) 2/3 a Which is the second biggest value? (a) 8 (b) 0.2 (c) -0.1 (d) 3/2 d What is the smallest value in 0.1, 17, 2/5, -2/11, 5/4? -2/11 What is the third biggest value in 32, 0.5, 2/11? 2/11 What is the biggest value in -1/2, 0, -32, -4? 0 Which is the second smallest value? (a) 2.3 (b) -3 (c) 1/11 c Which is the second biggest value? (a) 3 (b) -27 (c) -4 (d) -8 (e) 1/4 e What is the second smallest value in -52, 1/15, -0.3? -0.3 What is the third biggest value in 3, -3/4, 2/9, 1/4? 2/9 What is the third biggest value in 5, -4, 17? -4 What is the fourth smallest value in 7, 0.3, 0.5, -0.01, 5? 5 What is the third smallest value in 1/245, 5/4, 0.02? 5/4 What is the biggest value in -12/11, 5, -2/13, -0.3? 5 What is the smallest value in 2/11, -1, -11, -1/5, -57? -57 What is the smallest value in -4, 279, -0.05? -4 What is the second smallest value in -2, 0.166, 1/4? 0.166 What is the third biggest value in -1/2, -7, -710? -710 What is the fourth biggest value in 1/2, 5, -18/11, -1, -1/7? -1 Which is the third smallest value? (a) -2 (b) 121/4 (c) 0.1 (d) -0.3 c What is the smallest value in 0.04, -5, -17, 11? -17 What is the third smallest value in -5.3, 0.5, -0.1? 0.5 Which is the fourth biggest value? (a) -142/7 (b) -3/2 (c) 6 (d) -3/8 a What is the third biggest value in 167, 1, 3/5? 3/5 Which is the fourth smallest value? (a) -4/7 (b) 0.11 (c) 1/4 (d) 4 d What is the second smallest value in -0.4, 0.5, -5, 0.3, 2.15? -0.4 Which is the biggest value? (a) -6 (b) 1/4 (c) -14 (d) 0.6 (e) 3 e Which is the biggest value? (a) 0 (b) -2.6 (c) 0.5 (d) -3 c Which is the fourth smallest value? (a) 0.3 (b) -2/5 (c) -1/6 (d) -3 a Which is the third biggest value? (a) -13 (b) 1.3 (c) -2/9 a Which is the second biggest value? (a) 0.2 (b) -2/5 (c) 2 (d) -192 a What is the third smallest value in -1/167, -2/15, -3? -1/167 Which is the third b
{ "pile_set_name": "DM Mathematics" }
1 What are the prime factors of 103389? 3, 11, 13, 241 What are the prime factors of 2223113? 2223113 List the prime factors of 89451. 3, 3313 List the prime factors of 66208. 2, 2069 List the prime factors of 3640309. 3640309 What are the prime factors of 371369? 37, 10037 What are the prime factors of 4582495? 5, 149, 6151 List the prime factors of 6272253. 3, 13, 53609 What are the prime factors of 224163? 3, 24907 What are the prime factors of 251052? 2, 3, 20921 List the prime factors of 354930. 2, 3, 5, 11831 List the prime factors of 362666. 2, 149, 1217 What are the prime factors of 23587? 103, 229 List the prime factors of 8472537. 3, 19, 49547 List the prime factors of 1032919. 47, 21977 List the prime factors of 2317423. 17, 136319 List the prime factors of 7336651. 7, 79, 13267 List the prime factors of 8515842. 2, 3, 23, 2683 List the prime factors of 47702. 2, 17, 23, 61 What are the prime factors of 1902586? 2, 7, 135899 List the prime factors of 1137110. 2, 5, 13, 8747 List the prime factors of 2206903. 139, 15877 List the prime factors of 405657. 3, 7, 47, 137 What are the prime factors of 42740? 2, 5, 2137 What are the prime factors of 3877362? 2, 3, 59, 1217 List the prime factors of 7118715. 3, 5, 474581 List the prime factors of 201538. 2, 100769 List the prime factors of 695673. 3, 11, 7027 List the prime factors of 7004047. 31, 101, 2237 What are the prime factors of 21537556? 2, 5384389 What are the prime factors of 1330262? 2, 665131 List the prime factors of 221413. 221413 List the prime factors of 81586. 2, 19, 113 What are the prime factors of 200996? 2, 109, 461 What are the prime factors of 1553250? 2, 3, 5, 19, 109 List the prime factors of 8174716. 2, 11, 185789 What are the prime factors of 1831835? 5, 17, 23, 937 What are the prime factors of 162074? 2, 11, 53, 139 List the prime factors of 2340490. 2, 5, 43, 5443 List the prime factors of 124491. 3, 17, 2441 What are the prime factors of 120059? 211, 569 What are the prime factors of 103143? 3, 34381 What are the prime factors of 526127? 7, 75161 What are the prime factors of 6301313? 661, 9533 What are the prime factors of 1802429? 131, 13759 What are the prime factors of 28246? 2, 29, 487 What are the prime factors of 171328? 2, 2677 What are the prime factors of 1038992? 2, 64937 List the prime factors of 5892314. 2, 2946157 What are the prime factors of 226041? 3, 75347 List the prime factors of 450577. 107, 4211 List the prime factors of 3454306. 2, 29, 59557 What are the prime factors of 793380? 2, 3, 5, 7, 1889 List the prime factors of 2446813. 2446813 List the prime factors of 596299. 11, 151, 359 List the prime factors of 2301810. 2, 3, 5, 7, 97, 113 List the prime factors of 2826516. 2, 3, 7, 11, 19, 23 List the prime factors of 278977. 19, 14683 List the prime factors of 175016. 2, 131, 167 List the prime factors of 386524. 2, 71, 1361 List the prime factors of 595565. 5, 311, 383 What are the prime factors of 198593? 198593 What are the prime factors of 1298259? 3, 67, 2153 List the prime factors of 2452680. 2, 3, 5, 757 List the prime factors of 23318. 2, 89, 131 What are the prime factors of 6163163? 17, 19, 19081 List the prime factors of 340523. 229, 1487 What are the prime factors of 255803? 255803 What are the prime factors of 329302? 2, 229, 719 List the prime factors of 191735. 5, 31, 1237 List the prime factors of 469969. 469969 List the prime factors of 33155. 5, 19, 349 List the prime factors of 137327. 89, 1543 List the prime factors of 478932. 2, 3, 107, 373 What are the prime factors of 1405736? 2, 199, 883 List the prime factors of 22936134. 2, 3, 13, 294053 List the prime factors of 3481502. 2, 89, 19559 List the prime factors of 43536. 2, 3, 907 What are the prime factors of 1835537? 11, 166867 What are the prime factors of 29703? 3, 9901 What are the prime factors of 78894? 2, 3, 487 What are the prime factors of 209083? 7, 17, 251 What are the prime factors of 254068? 2, 19, 3343 What are the prime factors of 120843? 3, 29, 463 What are the prime factors of 24722? 2, 47, 263 What are the prime factors of 1880571? 3, 7, 11, 1163 What are the prime factors of 3870536? 2, 31, 15607 What are the prime factors of 225668? 2, 56417 What are the prime factors of 199199? 7, 11, 13, 199 What are the prime factors of 67342? 2, 11, 3061 List the prime factors of 1525601. 7, 11, 19813 What are the prime factors of 13106330? 2, 5, 1310633 What are the prime factors of 3772615? 5, 7, 11, 41, 239 List the prime factors of 42201875. 5, 67523 List the prime factors of 20108. 2, 11, 457 List the prime factors of 322617. 3, 31, 3469 What are the prime factors of 9052492? 2, 1291, 1753 What are the prime factors of 2748590? 2, 5, 13, 21143 What are the prime factors of 13822160? 2, 5, 11, 113, 139 List the prime factors of 762981. 3, 197, 1291 List the prime factors of 427610. 2, 5, 61, 701 List the prime factors of 10619694. 2, 3, 196661 What are the prime factors of 19495710? 2, 3, 5, 13, 19, 877 List the prime factors of 131745. 3, 5, 8783 List the prime factors of 33567759. 3, 3729751 What are the prime factors of 27199828? 2, 103, 107, 617 What are the prime factors of 248617? 29, 8573 List the prime factors of 292773. 3, 13, 7507 List the prime factors of 1158866. 2, 579433 List the prime factors of 5144. 2, 643 What are the prime factors of 1240582? 2, 7, 12659 What are the prime factors of 1239285? 3, 5, 82619 List the prime factors of 824230. 2, 5, 11, 59, 127 What are the prime factors of 8142503? 8142503 List the prime factors of 56541. 3, 47, 401 List the prime factors of 4098532. 2, 1024633 List the prime factors of 361952. 2, 11311 List the prime factors of 32724832. 2, 7, 146093 What are the prime factors of 152485? 5, 30497 List the prime factors of 3794314. 2, 103, 113, 163 What are the prime factors of 424289? 19, 137, 163 What are the prime factors of 8030647? 17, 472391 What are the prime factors of 400424? 2, 50053 List the prime factors of 87461. 11, 7951 What are the prime factors of 3792590? 2, 5, 19, 19961 List the prime factors of 272450. 2, 5, 5449 List the prime factors of 531289. 11, 48299 List the prime factors of 326822. 2, 163411 What are the prime factors of 4250611? 4250611 What are the prime factors of 559578? 2, 3, 93263 List the prime factors of 321281. 101, 3181 What are the prime factors of 30660326? 2, 137, 149, 751 List the prime factors of 2586070. 2, 5, 258607 List the prime factors of 10002945. 3, 5, 401, 1663 List the prime factors of 2867951. 17, 73, 2311 List the prime factors of 1098552. 2, 3, 7, 13, 503 What are the prime factors of 485452? 2, 11, 17, 59 What are the prime factors of 342882? 2, 3, 43, 443 What are the prime factors of 92181? 3, 30727 What are the prime factors of 236128? 2, 47, 157 What are the prime factors of 147502? 2, 73751 List the prime factors of 879271. 879271 List the prime factors of 392623. 7, 11, 5099 What are the prime factors of 35110? 2, 5, 3511 List the prime factors of 6096879. 3, 103, 6577 List the prime factors of 95747. 95747 What are the prime factors of 33814? 2, 11, 29, 53 What are the prime factors of 130861? 107, 1223 What are the prime factors of 5718287? 5718287 List the prime factors of 2900145. 3, 5, 29, 59, 113 What are the prime factors of 739053? 3, 7, 11731 What are the prime factors of 53878? 2, 11, 31, 79 List the prime factors of 2628314. 2, 13, 101089 List the prime factors of 39887104. 2, 155809 List the prime factors of 2962099. 7, 61, 991 What are the prime factors of 1396707? 3, 13, 59, 607 What are the prime factors of 372107? 372107 What are the prime factors of 211322? 2, 157, 673 List the prime factors of 194227. 11, 17657 List the prime factors of 4049218. 2, 1151, 1759 What are the prime factors of 946991? 331, 2861 What are the prime factors of 1775979? 3, 65777 What are the prime factors of 4205058? 2, 3, 11, 13, 29 What are the prime factors of 980050? 2, 5, 17, 1153 What are the prime factors of 9132160? 2, 5, 19, 751 What are the prime factors of 4637142? 2, 3, 79, 1087 List the prime factors of 315219. 3, 179, 587 What are the prime factors of 2204802? 2, 3, 122489 What are the prime factors of 9020739? 3, 7, 13, 173, 191 What
{ "pile_set_name": "DM Mathematics" }
the tens digit of f(-4)? 6 Let j(s) = s + 15. Let g be (-2)/(-6) + 62/(-6). Let l be -2 - 0 - (-90)/g. What is the units digit of j(l)? 4 Let j(p) = p - 2. Suppose -3 = -y + 4*y, 5*s + y - 19 = 0. Let k be j(s). Suppose -2*c + k*h + 64 = -3*h, -c + 50 = 2*h. What is the units digit of c? 2 Suppose 26 = -k + 3*k + 4*c, 5 = c. Suppose -2*s - 3*f = 5, -5*s + 2 = -4*s - k*f. Let j(x) = -13*x**3 - x**2 + x + 1. What is the tens digit of j(s)? 1 Suppose -h + 4 = 9. Let v(c) = -c**3 - c**2 + 5*c + 1. What is the tens digit of v(h)? 7 Let n(u) = 11*u + 64. What is the hundreds digit of n(7)? 1 Suppose -3660 = -35*s + 29*s. What is the tens digit of s? 1 Let v = -1047 + 3837. What is the hundreds digit of v? 7 Let o(m) = -2*m**3 - 2*m**2 + 6*m + 3. Let v = 28 - 32. What is the tens digit of o(v)? 7 Let s(q) = 2*q - 12. Let f be s(6). Suppose 3*c = -4*m + 2*c + 170, f = 5*c - 10. What is the units digit of m? 2 Let w(t) = -7*t - 23. Let v be w(-21). Suppose k = -3*f + 80, 2*k - v = 5*f - 2*f. What is the units digit of k? 8 Suppose -n + 0*n = -5. Suppose 0 = -n*d + 55 - 0. Suppose -5*y + d = m, m + y = -2*m + 19. What is the units digit of m? 6 Let x(w) = -w**3 - 4*w**2 + 5*w + 2. Let t be x(-5). Suppose -t*z = 2*g + 10, 4*g - z + 7 = -8. What is the tens digit of g + 3 + 55 - 0? 5 Suppose 2*u + 957 = l - 566, -5*u + 4569 = 3*l. What is the tens digit of l? 2 Let y(p) = p**3 - 9*p**2 + 8*p + 10. Let j be y(8). Suppose j*v = 178 + 592. What is the units digit of v? 7 Suppose -2*h + 0*h + 108 = 0. What is the tens digit of h/(-81) - 424/(-6)? 7 Let g(u) = 44*u**3 - 2*u**2 + 11. What is the units digit of g(3)? 1 Let a(g) = g**3 + 4*g**2 - 5*g - 3. Suppose -4*h = -u - 2*h + 3, 5*h + 35 = -3*u. Let n be a(u). What is the tens digit of 1100/33 + (-2)/n? 3 Let v = 256 - -60. What is the hundreds digit of v? 3 Let t(o) = 5*o. Let j(k) = 11*k - 1. Let m = -15 - -18. Let i(p) = m*j(p) - 7*t(p). What is the units digit of i(-9)? 5 What is the tens digit of (2 - (-38)/(-6))*-207? 9 Suppose 0*p = -5*p + 895. What is the tens digit of p? 7 What is the units digit of 576 + 1 - (34 + -34)? 7 Let b(m) = m**3 - 8*m**2 + 9*m - 6. Let g be b(6). Let a be g/(-20)*20/6. Suppose 0 = 5*h - 5*y, -a*h + 10 = -h - y. What is the units digit of h? 5 Let l be (5 + -5)/(-1 - -2). Let q be 0/(l - (2 + 0)). Suppose -2*w + q*w + 38 = -5*a, 0 = 2*w - a - 46. What is the tens digit of w? 2 Suppose 0 = 5*o + 355 - 7230. What is the thousands digit of o? 1 Let v(d) = -71*d - 359. What is the units digit of v(-25)? 6 Suppose 0 = -4*m + 4*p + 41 - 5, m + 7 = -3*p. Let d be (m/15)/((-1)/3). Let t = d - -12. What is the units digit of t? 1 Let v(d) = 48*d + 111. Let t(j) = -7*j - 16. Let b(q) = -27*t(q) - 4*v(q). Let g be b(-6). Suppose g*k - k = 120. What is the units digit of k? 4 Suppose 5*o - 3*b - 333 = 2*o, 0 = 3*b + 12. Suppose -2*h + o = 4*d + d, -4*h + 196 = 4*d. What is the units digit of h? 6 Let v(d) = -d**2 - 41*d + 46. What is the tens digit of v(-27)? 2 Let d(l) be the second derivative of l**5/20 + 5*l**4/4 - l**3 - 15*l**2/2 + 6*l. What is the units digit of d(-15)? 5 Suppose -3*q + 677 = l, 8*q - l - 443 = 6*q. Suppose 5*s - 3*s = q. What is the hundreds digit of s? 1 Let q(n) = -2*n - 11. Let p be (-2)/(2 - 16/9). What is the units digit of q(p)? 7 Let d(f) = -5*f - 26. Let a be d(-6). Suppose a*w - 1120 = -0*w. What is the units digit of w? 0 Let u = -127 - -275. What is the hundreds digit of u? 1 Let x(h) = h**2 - 1. Let v be x(3). Suppose 0*g + 360 = v*g. What is the tens digit of g? 4 Suppose -2*w + 1 = -y, 3*y - 1 = 2*w - 4. Suppose w*l - 4 = -l. What is the tens digit of 330/24 + (-3)/l? 1 Let j = 26 + -26. Let l(x) = x**2 - x + 34. Let d be l(j). Suppose r - 22 - d = 0. What is the units digit of r? 6 Let v be 23/3 - (-4)/(-6). Suppose 71 - 50 = 7*c. Suppose v = -c*p + 10. What is the units digit of p? 1 Let p(c) = -3*c + 9. Let a(s) = -28*s + 90. Let o(x) = 42*x - 135. Let y(r) = -7*a(r) - 5*o(r). Let v(f) = -11*p(f) + 2*y(f). What is the units digit of v(6)? 1 Let m(c) = 8*c**2 + c + 1. Let d be m(-1). Let u(o) = -o + 13. Let p be u(d). Suppose 32 = t + 5*x, -6*x + 3*x = -p*t + 104. What is the units digit of t? 2 Let k(o) be the second derivative of -o**3 - 3*o**2 - 45*o - 2. Let r = -12 + 0. What is the tens digit of k(r)? 6 Let u be (2 - (-55)/(-25)) + 1498/(-10). What is the tens digit of (-1)/(-1) - -1 - (u - 5)? 5 Let b(c) = 11*c + 56. Let u be b(-6). What is the units digit of 1*-2 - (-10)/(u/(-191))? 9 Let g = -260 + 473. What is the units digit of g? 3 Let c(z) = 9*z - 10. Let m(s) = -14*s + 15. Let y(t) = -8*c(t) - 5*m(t). What is the units digit of y(-9)? 3 Suppose 38*v - 18 = 32*v. Suppose 0 = v*s - 0*s + 4*h - 909, 5*s - h = 1515. What is the hundreds digit of s? 3 Let y = -3 - -35. What is the units digit of y? 2 Let t = -3 + 4. Let a = t + 1. Suppose -5*r + 3 = -a. What is the units digit of r? 1 Let p = 243 - 140. What is the tens digit of p? 0 Let r(u) be the third derivative of -u**6/120 - u**5/30 - u**4/24 + 9*u**3 - 2*u**2. What is the units digit of r(0)? 4 Suppose -4 = -2*p, f - p + 5*p - 1566 = 0. What is the hundreds digit of f? 5 Let j(h) be the first derivative of h**3/3 + 9*h**2/2 + 5*h + 14. Let n(b) be the first derivative of j(b). What is the tens digit of n(5)? 1 Suppose 0 = -12*y + 8151 + 3213. What is the tens digit of y? 4 Suppose 0 = -11*f + 6*f. Suppose 180 = 3*k - f*k. What is the tens digit of k? 6 Let w = 207 - -469. What is the tens digit of w? 7 Suppose 7*y = 3*y - 4. Let i be 1146/6 - (2 - y). Suppose -3*o + 4*o = -5*b + i, 5*b = o + 182. What is the tens digit of b? 3 Suppose b + 1 + 3 = 0, 2*j = b + 4. Suppose -f + j*f = 34. Let v = f - -64. What is the tens digit of v? 3 Suppose 3 = 6*i - 5*i. Suppose -5*m - 32 = -i*y, 5*y - 2 = -2*m + 10. What is the tens digit of (-84)/m + 4/2? 2 Let r be ((-25)/(-10))/((-4)/(-8)). Suppose r*b = b. What is the units digit of (-2 - b)*5/(-1)? 0 Let p(o) = -o**2 + 16*o - 35. Let a be p(13). Suppose -4*s - a*u + 692 = 0, 5*s = -2*u + 461 + 404. What is the tens digit of s? 7 Let i(p) = 2*p**3 + 20*p**2 - 18*p - 9. What is the tens digit of i(-9)? 1 Suppose -14*x + 10*x + 396 = 0. What is the units digit of x? 9 Suppose a + 102 - 980 = 0. Suppose -20*m + 1182 = -a. What is the hundreds digit of m? 1 What is the thousands digit of (8 + (-15)/(-50)*238)*55? 4 Suppose -a + 2*n + 19 = -2*n, 0 = a + n + 1. Suppose 192 = 3*s + a*w, 2*s + 3*w - 130 = 2*w. What is the units digit of s? 6 Let z(r) = -3*r - 4. Let j be z(5). Let g = j - -20. Suppose 5*y + 4*s - 150 = 0, -5*s = 3*y - 4*y + g. What is the units digit of y? 6 Suppose 15 - 69 = -3*s + k, -k + 3 = 0. What is the tens digit of s? 1 Suppose 0 = -f + 4*g + 476, 2168 - 209 = 4*f - 5*g. What is the hundreds digit of f? 4 Let m be ((564/7 - 0) + 0)*7. Suppose 5*h + 29 = 9, -h = -5*a + m. What is the units digit of a? 2 Let u = 19 - 16. Let n be (-395)/(-60)*u*4. Suppose -3*o + a = -2*a - 63, -3*o + n = 5*a. What is the units digit of o? 3 Suppose 50 + 48 = -2*d. Let w = d + 80. What is the tens digit of w? 3 Let k = -91 + 23. Let x = 43 + k. What is the units digit of 3*(3 - 2) - x? 8 Let f be 2 - (-4)/(-8)*-2. Suppose 0 = 2*p - y + 3*y, 4*y = -3*p + f. Let s = 23 - p. What is the units digit of s? 6 Let v(j) be the first derivative of j**4/12 - j**3/3 + 6*j**2 + 12. Let d(u) be the second derivative of v(u). What is the tens digit of d(6)? 1 Suppose 9604 = -12*h + 40804. What is the thousands digit of h? 2 Suppose 217 = -r - 5*s, 2*r - 5*s + 35 = -474. Let v = -143 - r. What is the units digit of v? 9 Suppose -1 = -m - 11. What is the units digit of 335/m*(-2 - 0)? 7 Let u = 1636 - 733. What is the units digit of u? 3 Let d be 0/(-2) - (-17 + -29). Let g = d + 90. What is the tens digit of g? 3 Suppose z + 4*z - a - 325 = 0, 0 = -5*z + 4*a + 325. Suppose -l = -6*l + z. Let t = -11 + l. What is the units digit of t? 2 Let v(i) = i**3 + 5*i**2 + 3*i - 1. Let f be v(-4). Let d(s) = 17*s**3 - 30*s**3 - s - s**2 + 1 + 14*s**3. What is the units digit of d(f)? 6 Let h = 1322 - 784. What is the tens digit of h? 3 Suppose 2*g = b - 13, 4*b - 2 = -0*b - 2*g. Suppose -s - 2 = -3, 101 = b*l + 5*s. What is the units digit of l? 2 Let f(d) = -2*d**2
{ "pile_set_name": "DM Mathematics" }
(a) 0 (b) 9 (c) 0.17 a Let o = -2382.1 + 2382. What is the nearest to o in -2/13, 2/7, 32/3? -2/13 Let x = 65355/130718 + 2/65359. Which is the closest to -11? (a) x (b) 1/4 (c) -2/5 (d) 13 c Let n(s) = -27*s + 84. Let g be n(3). Which is the closest to -4? (a) -0.3 (b) -11/2 (c) g b Let c be (2*(-5)/20 - -1)*24/42. What is the nearest to c in -2, -3/2, -149? -3/2 Let k = -13895 - -13895.6. Which is the closest to 0.049? (a) 3 (b) 5 (c) -3/8 (d) k c Let n be (-17)/((2 + 0)*(60/(-8) - -7)). Which is the nearest to -0.1? (a) n (b) -4 (c) 4 b Let g = 351.38 - 349. Let p = 2.62 + g. What is the nearest to -17 in -4, 0, p? -4 Let j = 12074 - 12070. Which is the nearest to -3/14? (a) j (b) 5 (c) 0.3 c Let c = 11 + -29. Let r be (-39)/c - 1*2. Let j = 11678 + -11683. What is the nearest to j in -1/3, -0.2, r? -1/3 Let t = -406.1 - -406. Let j = -276 + 281. Which is the closest to j? (a) t (b) 3 (c) -28 b Let p = -1.1 + 1.2. Let f = -11.5 - -17.6. Let u = -5.8 + f. Which is the nearest to 1? (a) u (b) p (c) -5 a Let z(j) = -5*j + 11. Let w be z(6). Let g be 55/w + (-7 - -10). Let i = -6.9 + 7. Which is the nearest to i? (a) -3/2 (b) 3 (c) g c Let a = 0.7442 - 0.9442. Let z = -0.4 - -0.4. What is the closest to a in 26, 0.2, z? z Suppose 5*y = 4*q - 28, -11*q = 2*y + 3*y - 77. Which is the closest to 5? (a) q (b) 9 (c) 0.3 (d) -0.2 a Let j be 0/(1 + (-3)/1). Let r be -1 + (-466)/(-154) + j. Let s = r + -27/11. Which is the nearest to 0.1? (a) -2 (b) 2/11 (c) s b Suppose 99 = -104*t + 386 + 233. Let m be ((-3)/1)/(3/3). What is the closest to -71 in t, 1, m? m Let w be (-4 - (-280)/(-4))*(-1)/2. Let v = w - 38. Let t be (-26)/8 + 1/v + 4. What is the closest to -0.1 in t, -4, 0.2? t Let b = 3916 + -3915. What is the closest to -1 in 4/7, b, -17, 0.2? 0.2 Let w = 204.3 - 204.3. Let v(y) = y - 2. Let f be v(-2). Let b = f - 1. What is the nearest to -0.5 in w, b, 3? w Let o = 56/5 - 514/45. Let r = -342 + 138. Let s = r + 207. Which is the nearest to 3? (a) o (b) s (c) -0.1 b Let z = 2.09 + -0.09. Let k = 149 + -166.6. Let d = -18 - k. Which is the closest to -2? (a) 0 (b) d (c) z b Let t = 2482 + -1741. Let m = 741.5 - t. Let b be 2 + ((-14)/9)/1. What is the closest to b in m, -5, 5? m Let t = 0.18 + -3.18. Suppose -x - j + 7 = 0, 9*x - 6*x - 2*j = -4. Let u be 5 - ((-54)/(-8) - x). What is the nearest to -1 in 4, t, u? u Let j = 35.48 + -35. Let r = 0.75 - j. Let h = r + 0.13. Which is the nearest to 2/3? (a) 2/7 (b) h (c) 3 b Let o = -110 - -109.696. Let x = o - -0.004. What is the nearest to 0 in 41, -1, x? x Let u = 28862 + -28834. Which is the nearest to 2/3? (a) u (b) 1 (c) 3 b Let l = -411.5 + 411. What is the closest to 0 in -1, 466, l? l Let i = 11832 - 11828. Which is the closest to -2? (a) 6 (b) -0.4 (c) i b Let i be 18/(-8)*2/(-3). Suppose 2*g - 82*g + 49*g = 155. What is the closest to 0.2 in i, 0.3, g? 0.3 Let z(p) = -p**2 + 6*p - 5. Let l be z(5). Let f = 28445 - 1564528/55. Let s = -15/11 - f. What is the nearest to l in 5, 0, s? 0 Suppose -5*s + 0*y + y = -12, -2*s - 3*y = -15. Suppose -4*g - 9*q + 20 = -11*q, -s*q - 26 = -5*g. Which is the closest to 0? (a) 0.038 (b) -3/7 (c) g a Let n = 67.32 - -283.63. Let z = 351 - n. Let k = -7 - -5. Which is the nearest to -2/9? (a) z (b) k (c) 1 a Let q = 252 - 187. Let u = q + -65.5. What is the closest to -0.1 in 3, 19, u? u Suppose 13*j - 2*z = 11*j + 272, 121 = j - 4*z. Which is the closest to -1? (a) j (b) -0.1 (c) 0.4 (d) 4 b Let t = -1501 - -1498. Let p = 0.202 + 13.798. What is the closest to p in -1/4, -7, t? -1/4 Suppose -5*m + 20 - 9 = s, 0 = -2*s + m. Which is the nearest to -0.1? (a) -15 (b) -5 (c) -12 (d) s d Let k = 9 + -9.1. Let v = -0.219 + -4.781. Suppose -3*q + 4*w - 5 = 0, -5*w + 4 = -2*q - 4. Which is the nearest to q? (a) -3 (b) k (c) v b Let h be ((-1380)/40)/69 + -7*2/(-12). Which is the closest to -6/7? (a) h (b) -5 (c) 1/8 (d) 3 c Let p = -10 + 2. Let t = -229 + 225. Let i = 0.383 - 0.183. Which is the nearest to p? (a) t (b) -5 (c) i b Let r be -4 - (-17)/(-17) - -1*(2 - 1). Which is the closest to 1? (a) r (b) -6/7 (c) 11/3 b Let l = -497 + 499. What is the closest to l in 2, -2, -3, -1/2? 2 Let i = 528 + -876. Let p = i + 356. What is the closest to 1/4 in 5, p, 0.5, 0.4? 0.4 Let y = -4 + 6. Let t = 119.046 - 119. Let l = t + -0.146. Which is the nearest to y? (a) 4 (b) l (c) 1/3 c Let i(o) = 247*o - 3103. Let s be i(15). What is the closest to 3 in 0.1, 0.2, s? 0.2 Let d = 0.035 + -0.035. Let s = -0.2111 - -91.2111. What is the nearest to d in 3/2, 0.5, s? 0.5 Let r = 2800.9 + -2801.4. Let n = -41/354 + -3/59. Let m be 2 - (9/(-5) - -3). Which is the nearest to -3/5? (a) n (b) r (c) m b Suppose 12 - 4 = 4*o. Let u(w) = 32*w**2 + 289*w + 8. Let q be u(-9). Which is the closest to 3? (a) o (b) -0.2 (c) q a Let n be (-1)/(-4) + 1/12. Let y = -7/232 + -341/232. Which is the nearest to n? (a) 4 (b) y (c) 28 b Let q = -23035/34548 - -1/11516. Let c(l) = -l + 3. Let p be c(4). What is the nearest to p in -23, q, 0? q Suppose -k = -0*k + 1. Let f be 6 + 0 - (25*39/(-65) + 20). Which is the nearest to k? (a) -3/16 (b) f (c) -2/15 (d) 4 a Let f be -4 + 28/16 + 2. Suppose -6*a + 3*a + 27 = 0. Let u(x) = -2*x + 17. Let h be u(a). What is the closest to 0 in f, h, 3? f Suppose 4*i = 13*i - 5*i. Suppose 3*t - 3 = -i. Suppose 0*p - 3*p = -9. Which is the nearest to t? (a) -2/3 (b) -1/9 (c) p b Let p be ((-738)/(-615))/(7*2/5). Let o = -1 - -29. Let l = 28 - o. Which is the nearest to l? (a) p (b) -1 (c) -16 a Let o = -899 - -519. Let y = o - -761/2. What is the nearest to 1 in 9, 5, y? y Suppose -33 = 3*x - 2*x - 4*x. Which is the nearest to -0.9? (a) -2/11 (b) -0.5 (c) x b Let b = -371 - -190. Let h = 181 + b. Let r = -0.07 - -0.17. What is the closest to 1 in r, h, -0.5? r Let h = -5.6 + 6. Let l be (-6 + 5)/(4/(-3) + 13/39). Which is the closest to l? (a) -1/11 (b) h (c) -2 (d) 6 b Let x = 49 - -32. Let r be 3/2*(-6)/x. Which is the nearest to r? (a) 0.1 (b) 4 (c) 0.3 a Let c = 48.49 - 48.69. What is the closest to -4 in 5, c, 2? c Let w = 4.357 + -4.337. Which is the closest to w? (a) 3 (b) -0.11 (c) -3 b Let m = 2274 + -15916/7. What is the nearest to 0.4 in m, 2/151, -2? m Let l = -6 + 10. Let t = 196.471 - 0.471. Let n = t - 196. What is the closest to n in -0.3, 5, l? -0.3 Let z = 1.548 + 8.452. What is the nearest to 4 in 0.2, z, -3/5, 4? 4 Let g = -12903.47 + 12838. Let h = 66 + g. Let n = h - 0.63. Which is the closest to 2/5? (a) 2 (b) n (c) -3/4 b Let y be (-72)/(-693) - ((-48)/22 + 2). Which is the nearest to 11/6? (a) 5 (b) y (c) -4 (d) -5/4 b Let c be (-15)/2*(-4)/6. Let u = -3 + 0. Let p = 0.024996 + -5.024996. What is the closest to u in -3, p, c? -3 Let p = -91216/684345 - 2/45623. What is the nearest to 2/7 in 0.1, -3/5, 0.062, p? 0.1 Suppose -331*r = -447*r - 3779 - 4689. What is the nearest to 1 in r, -28, 1/6? 1/6 Suppose -273*c - 1 = 271*c - 545*c. What is the closest to 2 in -0.5, -1/109, c, -0.6? c Suppose 5*f - 5*b = -40, 5*b = -2*f + b + 14. Let w = -1/137 - 132/685. Let l = -0.34 + 0.04. What is the nearest to w in l, f, 3? l Let a be 4/(-7)*(-311)/622. Suppose 25 = -5*j, 4*s - 3*s = -3*j - 16. Let n be s + 3 + -1 + -2. What is the closest to -1/2 in n, -4/7, a? -4/7 Let i = 434.6 + -434.73. Which is the nearest to -2? (a) -0.3 (b) -3 (c) i (d) 0.5 b Let w be 1287/66*8/(-12). What is the closest to w in 2, -0.2, 3/7, -5? -5 Let x = 16.15 + -19.15. What is the closest to -0.2 in 2/7, 0, x, 5/28? 0 Let s = 4.99 + -5. Let b = -100 + 102. Let p(o) = -72*o - 219. Let u be p(-3). What is the nearest to -0.2 in u, b, s? s Let y = -15 + 15.1. Let n = 0.4 - y. Let v = -11.52 - -11.62. What is the closest to v in 0.4, n, -4/5? n Let q be 15*2/(-5 - 1). Suppose 148*n - 152*n = -108. Suppose -10*h = 10*h - n*h. What is the nearest to -3/2 in q, 1/4, h? h Let b be (999/(-74))/((-2)/36). Let t be (-3)/4 + 8 + b/(-36). What is the closest to -2/7 in 0, 5, t? 0 Let q be ((-28)/60)/((-511)/(-438)). What is the nearest to q in 1/11, -1, 35, 0.3? 1/11 Let b = 12 + -16. Let d = 23941/57 - 420. Let h = -20/57 + d. What is the closest to h in b, 5,
{ "pile_set_name": "DM Mathematics" }
visor of 3058 and 22? 22 What is the greatest common divisor of 16 and 26672? 16 What is the highest common divisor of 1626 and 102? 6 What is the highest common factor of 1548 and 129? 129 Calculate the highest common divisor of 12 and 158. 2 Calculate the highest common factor of 52 and 676. 52 What is the highest common divisor of 931 and 147? 49 What is the greatest common divisor of 60 and 48? 12 What is the highest common factor of 48 and 24? 24 Calculate the greatest common factor of 495 and 88. 11 Calculate the highest common factor of 11 and 9427. 11 Calculate the highest common divisor of 38 and 1786. 38 Calculate the greatest common factor of 1502 and 4. 2 What is the greatest common divisor of 2 and 7? 1 Calculate the greatest common divisor of 92 and 1334. 46 Calculate the highest common divisor of 24 and 400. 8 What is the greatest common factor of 70021 and 49? 49 What is the highest common divisor of 2052 and 36? 36 Calculate the highest common divisor of 4896 and 320. 32 Calculate the highest common factor of 407 and 33. 11 Calculate the greatest common divisor of 285 and 342. 57 What is the greatest common factor of 12 and 720? 12 What is the highest common divisor of 8534 and 34? 34 What is the highest common factor of 13 and 8? 1 Calculate the greatest common divisor of 3552 and 864. 96 Calculate the greatest common divisor of 8032 and 32. 32 What is the greatest common divisor of 6 and 474? 6 What is the greatest common factor of 3558 and 114? 6 What is the highest common factor of 45 and 465? 15 Calculate the greatest common factor of 82 and 1763. 41 Calculate the greatest common factor of 6 and 1002. 6 Calculate the highest common factor of 174 and 5974. 58 Calculate the highest common factor of 504 and 1638. 126 What is the greatest common factor of 62 and 1519? 31 What is the highest common factor of 1550 and 200? 50 What is the greatest common factor of 1030 and 20? 10 Calculate the greatest common divisor of 28 and 2268. 28 Calculate the greatest common divisor of 3966 and 2. 2 Calculate the greatest common divisor of 1008 and 154. 14 What is the greatest common factor of 49 and 1? 1 Calculate the highest common factor of 48 and 464. 16 Calculate the highest common factor of 850 and 150. 50 What is the greatest common divisor of 5243 and 245? 49 Calculate the greatest common factor of 500 and 20. 20 Calculate the greatest common factor of 841 and 29. 29 Calculate the greatest common factor of 80 and 10. 10 Calculate the highest common factor of 9821 and 61. 61 What is the highest common divisor of 380 and 15732? 76 Calculate the greatest common divisor of 846 and 36. 18 What is the highest common divisor of 14 and 77? 7 Calculate the highest common factor of 54 and 4266. 54 What is the highest common factor of 419 and 2? 1 What is the greatest common divisor of 5 and 2545? 5 What is the greatest common factor of 405 and 315? 45 What is the highest common factor of 319 and 87? 29 Calculate the highest common divisor of 25 and 46825. 25 Calculate the highest common factor of 138 and 736. 46 Calculate the highest common factor of 315 and 45. 45 Calculate the greatest common factor of 15636 and 12. 12 What is the greatest common factor of 345 and 15? 15 Calculate the highest common divisor of 420 and 525. 105 Calculate the highest common factor of 13 and 559. 13 What is the greatest common divisor of 368 and 1058? 46 What is the greatest common divisor of 21231 and 63? 63 What is the greatest common divisor of 871 and 117? 13 What is the highest common factor of 1408 and 160? 32 Calculate the highest common factor of 33 and 528. 33 What is the highest common divisor of 1946 and 14? 14 Calculate the highest common factor of 1632 and 102. 102 What is the greatest common factor of 24954 and 18? 6 Calculate the highest common divisor of 42 and 651. 21 What is the highest common divisor of 91 and 637? 91 What is the highest common divisor of 72 and 372? 12 Calculate the highest common divisor of 1581 and 102. 51 Calculate the greatest common factor of 54 and 1278. 18 What is the greatest common divisor of 46 and 299? 23 What is the greatest common factor of 27 and 4905? 9 What is the greatest common divisor of 53 and 4187? 53 What is the highest common factor of 60 and 3180? 60 Calculate the highest common factor of 234 and 90. 18 Calculate the greatest common divisor of 90 and 1332. 18 What is the highest common divisor of 116 and 58? 58 What is the greatest common factor of 10 and 185? 5 Calculate the highest common divisor of 249 and 6. 3 Calculate the greatest common factor of 13987 and 985. 197 Calculate the highest common divisor of 22 and 11. 11 What is the greatest common divisor of 62 and 8649? 31 What is the highest common divisor of 175 and 2135? 35 Calculate the greatest common factor of 344 and 12556. 172 What is the greatest common factor of 968 and 30? 2 What is the greatest common factor of 7897 and 159? 53 Calculate the greatest common factor of 42 and 912. 6 What is the greatest common factor of 17 and 510? 17 Calculate the highest common divisor of 47 and 132493. 47 What is the highest common divisor of 148 and 5809? 37 Calculate the greatest common divisor of 140 and 252. 28 Calculate the highest common factor of 7293 and 102. 51 Calculate the greatest common factor of 572 and 884. 52 What is the greatest common divisor of 104 and 4? 4 Calculate the highest common factor of 54 and 198. 18 Calculate the highest common factor of 2 and 18. 2 Calculate the greatest common divisor of 123 and 6. 3 What is the greatest common factor of 236 and 4? 4 What is the greatest common factor of 5740 and 656? 164 What is the greatest common factor of 477 and 45? 9 Calculate the greatest common factor of 270 and 81. 27 Calculate the greatest common divisor of 13164 and 24. 12 Calculate the highest common factor of 48 and 656. 16 Calculate the greatest common factor of 7 and 161. 7 What is the highest common factor of 132 and 84? 12 What is the greatest common divisor of 608 and 96? 32 Calculate the greatest common divisor of 442 and 680. 34 What is the highest common factor of 41 and 287? 41 What is the greatest common factor of 783 and 216? 27 What is the greatest common divisor of 494 and 57? 19 What is the highest common divisor of 418 and 38? 38 Calculate the highest common divisor of 14 and 1694. 14 Calculate the greatest common divisor of 7 and 4977. 7 Calculate the highest common divisor of 1969 and 44. 11 Calculate the highest common factor of 1377 and 357. 51 Calculate the greatest common factor of 260 and 8. 4 Calculate the greatest common divisor of 170 and 160. 10 Calculate the greatest common divisor of 325 and 75. 25 What is the greatest common factor of 162 and 28? 2 Calculate the greatest common factor of 3 and 1620. 3 Calculate the greatest common divisor of 10 and 16. 2 What is the greatest common factor of 100 and 20? 20 Calculate the highest common factor of 730 and 10. 10 Calculate the greatest common factor of 9 and 1251. 9 Calculate the highest common factor of 128 and 608. 32 What is the highest common factor of 752 and 2162? 94 What is the highest common factor of 30 and 255? 15 Calculate the greatest common factor of 13 and 78. 13 What is the highest common factor of 1472 and 64? 64 Calculate the greatest common divisor of 3132 and 1798. 58 What is the greatest common divisor of 27 and 225? 9 Calculate the highest common divisor of 1276 and 44. 44 What is the highest common divisor of 272 and 119? 17 Calculate the highest common factor of 36144 and 144. 144 What is the greatest common divisor of 568 and 24? 8 What is the highest common factor of 11 and 2981? 11 Calculate the highest common divisor of 46189 and 143. 143 What is the highest common divisor of 87 and 18? 3 What is the greatest common factor of 25 and 10? 5 What is the greatest common divisor of 372 and 36? 12 What is the greatest common factor of 649 and 1003? 59 What is the highest common factor of 4223 and 41? 41 What is the highest common divisor of 508 and 16? 4 What is the highest common factor of 296 and 333? 37 Calculate the highest common divisor of 4536 and 28. 28 Calculate the greatest common divisor of 793 and 1703. 13
{ "pile_set_name": "DM Mathematics" }
. Which is the nearest to k? (a) 3/4 (b) -0.08 (c) -0.2 c Let n be -2 + 202 - (1 + 1). Let s be (-3817)/(-77)*4/(-1). Let w = s + n. Which is the nearest to -2? (a) w (b) -2 (c) 0.4 b Let c(h) = -10*h**3 + h**2 - 2*h - 8. Let f be c(2). What is the nearest to f in -0.4, 3, 2, -4/3? -4/3 Suppose 0 = -4*h - h - 5. Let y = -7.8 - 0.2. Let f = -5 - y. What is the closest to h in f, 0.4, 1? 0.4 Let l = -7.1 - -6.6. Let d = -21/116 + -2/29. Let z = 4 - 3.9. Which is the nearest to 1? (a) d (b) z (c) l b Let x = 12.1 - 16.1. Which is the closest to -3/4? (a) x (b) 5 (c) -0.4 c Let b be (0 - -10) + -10 + 0 + -1. Let v = 0.4 - 0.3. What is the nearest to b in -0.06, v, -5? -0.06 Let g = 8 + -7.9. Let b be 5 + ((-2)/10)/(20/450). What is the nearest to b in -4, -5, g? g Let z be (-3)/45 + 4/10. Let b = z - 0. Let t be (-4)/2 - 9/(-4). What is the closest to t in -0.5, b, 0? b Let j be 1/(-4) - 99/(-12). Let a(p) = p**3 - 27*p**2 - 59*p + 41. Let u be a(29). Suppose -j*d + 4*d - u = 0. What is the nearest to d in 0.3, 4, -1/6? -1/6 Let j be (-4)/(-9) - (-76)/342. Which is the closest to 0? (a) 8/11 (b) -0.1 (c) j b Let f = 0.1 - 0.1. Let s = -176.44 + -0.56. Let u = s - -177. Which is the closest to f? (a) 4/9 (b) -4 (c) u c Let x be (-14 + 4420/320)*(-8)/6. What is the closest to 0.1 in 4/33, 0.4, x? 4/33 Let j = 180 + -180. Which is the closest to j? (a) -5 (b) 2 (c) 1.4 c Let i = 79 + -55. Let y = i - 23.7. Which is the closest to -2? (a) 4 (b) y (c) -1 c Let h = -74 - -88. Let f be -2 + -2 - h/14. Which is the nearest to 0.1? (a) -2/3 (b) f (c) 2 a Let n = -13 + 12.84. Let v = -3.84 + n. Which is the nearest to v? (a) 0.4 (b) -1/4 (c) -0.5 c Let m = 7 - 6. Let j be 21/6 + -5 + 2. What is the nearest to 1 in j, m, -2/3? m Let p = 0.19 - 0.252. Let a = -0.038 + p. What is the nearest to -1 in a, 5, -2? a Let w = -68 + 474/7. Let q = -0.65 + -16.35. Let j = q - -17. What is the closest to w in j, -2, -0.05? -0.05 Let l = -82/3 + 29. Which is the closest to -2/7? (a) 4 (b) l (c) 4/5 c Suppose -8*s = -0 - 8. Let h(l) = 6*l**3 - 3*l**2 + 2. Let i be h(s). Which is the closest to 0.1? (a) 0.4 (b) i (c) 4 a Let j = 35.6 + -35.5. Which is the nearest to j? (a) 5 (b) -2 (c) 3 b Let h = 2608/9 + -290. What is the closest to -0.2 in 0.3, h, 5? h Let t = 0.15 + -14.15. Let y = t - -13.86. Let s = -1.14 - y. Which is the closest to -1? (a) s (b) 4 (c) -0.5 a Let v be (12/(-30))/((-1)/3). Let b = -3.31 - 0.69. What is the nearest to v in -2, b, 0.1? 0.1 Suppose -k - 5*f = -32, k + 5*f = -3*k + 53. Suppose -5*b + 2*n = k*n, -b + 3 = -2*n. Let t = 3 - 3. What is the nearest to -2/7 in t, -2, b? t Let n(v) = -2*v**2 - 9*v + 10. Let l be n(1). What is the closest to -1 in 1/3, -2/17, l? l Let c = -38 + 37. Let j = -1/3 - -11/15. What is the nearest to c in -0.4, j, -12? -0.4 Let n = -1 + 1. Let d = 801/20 - 393/10. What is the closest to 2 in n, d, 1? 1 Let s = -1.243 + 6.243. Which is the nearest to -7? (a) 1 (b) -1/3 (c) s b Let z = 358 - 358. Suppose 0*y + 5*y = -20. Let l = 0 - -0.1. Which is the nearest to -1? (a) z (b) y (c) l a Let f = 11.93 - -0.07. Let b = f - 7. Let q = -470 + 470. What is the nearest to q in b, -3/10, 4/3? -3/10 Let k = -137.8 - -138. Which is the nearest to 10? (a) k (b) 3 (c) -4 b Let c = -29.37 - -0.37. Let x = c - -28.7. What is the closest to -1/2 in x, 4, 1/7? x Let l be (-1)/(-4) + (-13)/36. Let i = 1442 - 1443. Which is the closest to -2/7? (a) i (b) l (c) -2/11 c Suppose 4*o + 12 = 5*z - 5, z + o = -2. What is the closest to 6 in -3, z, -0.5? z Let o = 1 - -2. Suppose -u = -4*t - 3, u - 6 = -3*t - u. Let z = 251/4 - 505/8. Which is the closest to t? (a) -4 (b) o (c) z c Let l be (-46 - -44)/(3/6). What is the closest to l in -5, -12, -2, -0.5? -5 Let r = 2.37 + -0.47. Let w = r + -3.9. What is the nearest to -2/3 in w, -4, -2/13? -2/13 Let w = 158.9 - 27.9. Let q = w - 133. Let t = 3 + -2. What is the closest to 0.2 in t, -1, q? t Let p = 10 - 12. Let z = -1.5 + 5.5. What is the nearest to 3 in -1/3, p, z? z Let v = -2.1 - -1.1. What is the closest to v in 5, 2, -3? -3 Let k = -5605 - -5607. Let h(i) = i**2 - 4*i + 4. Let f be h(4). Let l be 24/(-5) - (-3)/(-15). Which is the closest to 0.1? (a) f (b) k (c) l b Let n(q) = -q**2 - 16*q - 10. Suppose 5*p - 90 = 5*r, 2*r + 3*p + 23 = 2. Let b be n(r). What is the closest to -4 in b, 1/8, 0? 0 Suppose -3*k = 5*r + 7, 3*r + 5*k + 7 = -10. Let y = 4004 - 4003.8. Which is the closest to r? (a) -0.06 (b) -2/9 (c) y c Let s = -48.76 - -48.7. Let z be -2*(-2 + (-26)/(-14)). What is the nearest to -1/3 in s, -2/15, z? -2/15 Let o = 349726/3 + -110807. Let g = 5695 - o. Let u = g + 74. Which is the closest to 1? (a) 4 (b) u (c) -0.3 b Let b = 7 - 6. Let w be (116/30 + 36/(-9))/1. Let p = 0.1 + -0.2. What is the nearest to p in w, 5, b? w Suppose -3*r - 5*l + 34 = 0, -r + 2*l - 12 = -l. Let m be 1 - (-19)/(114/(-4)). Which is the closest to 0.2? (a) m (b) -3 (c) r a Let n(s) = -2*s + s - 1 - 7. Let g be n(-7). Let j = -16.8 + 17. What is the nearest to g in -2/9, 1, j? -2/9 Let m be (-27)/(-4) - 12/16. Suppose -4*w = -18 - m. Let z be (4/3)/(w/(-18)). What is the closest to -1 in -1, 5, z? -1 Suppose z = 6 + 10. Let x(b) = 2*b - 31. Let d be x(z). What is the closest to d in 6, 1, 0.3? 1 Let q(w) = -3*w + 2. Let s be q(4). What is the nearest to -3 in 8/7, s, -2? -2 Let w be (8 - 0) + (-12 - (-12 - -7)). Let d = -94 + 56. What is the closest to w in d, -3, 3/7? 3/7 Let w(p) = -2*p - 18. Let n be w(-15). Let v be -1*(-8)/n*3. Suppose -5 = -v*q - 3. What is the closest to 0.2 in 2/5, -0.1, q? 2/5 Suppose 11*q + 12 = 8*q. Suppose 2*y + 5*k - 3 = -6, -3*y - 4*k - 1 = 0. Which is the nearest to -0.01? (a) -0.4 (b) q (c) y a Let m = 1.421 - 1.321. Which is the closest to -0.07? (a) 7 (b) 6/5 (c) m (d) -3 c Let i = -21.2 - -16. Let o = i + 1.2. What is the closest to 1.8 in 0.4, o, 2/11? 0.4 Let g = 119 + -121. Which is the nearest to -6? (a) -2/5 (b) 5 (c) g c Let w = -3 - -2.9. Let k = 1013/4020 - 2/1005. What is the nearest to -1 in k, w, -11? w Let t = 37 - 1075/29. Let q = 0.39 + 0.01. Which is the nearest to -0.1? (a) q (b) t (c) 5 b Let n(y) = -y + 33. Let a be n(19). Suppose -5 = -a*h + 9*h. What is the closest to h in -0.1, -5, 4? -0.1 Let q be ((-42)/(-12))/1*6/21. Which is the nearest to 2/7? (a) 0.5 (b) -4 (c) 0.4 (d) q c Let n be 2*(4/(-10) + 0). Suppose j = -3*j + 4, 23 = -3*d + 5*j. Let m be (-1)/(-1)*(d - -10). Which is the nearest to 0.1? (a) n (b) 0 (c) m b Let f = 13.8 - 2.8. Let d = f - 10.8. Let v = -0.08 + -0.92. What is the closest to d in 1, v, -4? 1 Suppose 5*u - 12 - 18 = 0. Suppose -u + 9 = p. Suppose -p*v - v = 20. What is the nearest to 0.1 in v, 1, -4/7? -4/7 Let y = -1.3 + 0.3. Let o = 105 - 528/5. What is the nearest to 1 in o, -1/3, y? -1/3 Let q = 31 + -21. Suppose x + 2*z + 5 = 0, z + q = -2*x + 6. Let t be ((-14)/(-8) + -2)*1. What is the nearest to x in -2/5, t, -1/2? -1/2 Let t = -0.758 + 0.358. What is the nearest to 11/9 in -1, -0.5, t, -2/7? -2/7 Let n = 78/5 + -141/10. What is the nearest to -15 in n, -4, -11? -11 Let j be ((-6)/10)/(9/(-15)). What is the nearest to j in 1/4, -2, -1/3? 1/4 Let b = 68/7 + -69/7. Let p = -180/89 - -1446/979. What is the nearest to 43 in 5, b, p? 5 Let h = -22.6 - -24.6. Let n = 0.02 + -0.42. What is the closest to 0.2 in h, n, 4? n Let x = -0.05 + 0.23. Let v = -0.29 + x. Let t = v - 0.39. What is the closest to -0.1 in -5, t, -2? t Let a(w) = 4*w - 42. Let p be a(11). What is the closest to -1/4 in p, -1/4, 4, -3? -1/4 Let d = 253 - 252. Which is the nearest to -7? (a) -3/2 (b) d (c) 0.1 a Let j = 11.2 + -11.4. Which is the closest to j? (a) 2/23 (b) -4 (c) -1 a Suppose -3*r + 18 = 2*x, -1 = -3*x + 3*r - 4. Let p = -157 - -157. Which is the nearest to 2? (a) x (b) p (c) -1/5 a Suppose -3*u = -h + 68, 4*u = -4*h + 177 + 31. Suppose -5*r + h = -r. Let v be (2/(-6))/(r/63). Which is the nearest to 0.1? (a) -4 (b) v (c) -0.3 c Let a = 7.2 - 7. What is the nearest to a in 5, -2, 3/2? 3/2 Suppose -42 - 42 = 42*q. Let f = 0.4 - -0.1. Which is the nearest to q? (a) -2 (b) 5 (c) f a Let f = -0.26 - -1.26. Suppose a - 2 - 3 = 0. Su
{ "pile_set_name": "DM Mathematics" }
iisiiaiiiitsiqii. Give prob of picking 2 i and 1 t. 13/95 Two letters picked without replacement from {k: 1, w: 3, f: 5, x: 1}. What is prob of picking 2 w? 1/15 What is prob of picking 2 t when two letters picked without replacement from uuuututuuuutututtuu? 5/57 Two letters picked without replacement from {j: 7, d: 6}. What is prob of picking 2 j? 7/26 What is prob of picking 1 e, 2 b, and 1 n when four letters picked without replacement from bbbbnbbnnnnbebnene? 49/255 Four letters picked without replacement from {z: 9, g: 5}. Give prob of picking 2 g and 2 z. 360/1001 Four letters picked without replacement from {o: 3, c: 5, e: 6, p: 1}. What is prob of picking 4 c? 1/273 Two letters picked without replacement from krrpgrprprkgkkpkp. Give prob of picking 1 r and 1 k. 25/136 Calculate prob of picking 2 e when two letters picked without replacement from ffffefeffefwfff. 1/35 Three letters picked without replacement from {p: 5, z: 7}. What is prob of picking 2 p and 1 z? 7/22 Three letters picked without replacement from qqqqqoqqqqqoqqqqqooq. Give prob of picking 3 o. 1/285 Calculate prob of picking 4 f when four letters picked without replacement from zffzffzf. 1/14 Three letters picked without replacement from {o: 3, l: 3, w: 1, y: 2, f: 6}. Give prob of picking 2 o and 1 w. 3/455 Two letters picked without replacement from nvxxxny. Give prob of picking 1 y and 1 v. 1/21 What is prob of picking 1 o, 1 c, and 1 k when three letters picked without replacement from {c: 2, o: 2, z: 1, k: 1, t: 2, n: 5}? 2/143 What is prob of picking 1 p and 1 w when two letters picked without replacement from {p: 2, i: 2, b: 1, e: 1, w: 1, l: 1}? 1/14 Two letters picked without replacement from ppmmpmcmpwwepc. What is prob of picking 1 p and 1 e? 5/91 Four letters picked without replacement from tejeteetteftjjept. Give prob of picking 2 e, 1 t, and 1 p. 9/238 What is prob of picking 1 s, 1 o, and 1 g when three letters picked without replacement from goossps? 6/35 What is prob of picking 1 i, 1 f, and 2 e when four letters picked without replacement from eefiuree? 3/35 Three letters picked without replacement from {u: 2, i: 3, z: 4}. Give prob of picking 1 z and 2 u. 1/21 Calculate prob of picking 1 r, 1 z, 1 e, and 1 j when four letters picked without replacement from oorooozosorejjo. 4/1365 Two letters picked without replacement from {k: 6, e: 1, x: 7, m: 6}. Give prob of picking 1 x and 1 e. 7/190 Calculate prob of picking 1 o, 2 z, and 1 x when four letters picked without replacement from wxrzovzxzxwwzz. 30/1001 What is prob of picking 1 x and 1 a when two letters picked without replacement from {x: 2, a: 1, w: 3, i: 4}? 2/45 Calculate prob of picking 3 z and 1 l when four letters picked without replacement from {z: 6, l: 1, i: 9, b: 3}. 5/969 What is prob of picking 1 r and 1 m when two letters picked without replacement from {r: 6, m: 2, f: 5}? 2/13 Calculate prob of picking 2 r and 1 z when three letters picked without replacement from xrzrxrxzzzzxx. 15/286 What is prob of picking 3 g when three letters picked without replacement from gllglglglll? 4/165 Three letters picked without replacement from bbjpwpsjppjpp. What is prob of picking 1 s, 1 j, and 1 p? 9/143 What is prob of picking 1 p and 2 u when three letters picked without replacement from {u: 2, p: 3, e: 3}? 3/56 Two letters picked without replacement from {p: 5, y: 7}. What is prob of picking 2 y? 7/22 Two letters picked without replacement from {m: 1, l: 3, c: 5}. What is prob of picking 1 l and 1 c? 5/12 What is prob of picking 2 n and 1 k when three letters picked without replacement from {n: 8, k: 3, f: 5}? 3/20 What is prob of picking 2 q and 2 s when four letters picked without replacement from sqqssps? 6/35 Calculate prob of picking 1 v and 1 z when two letters picked without replacement from vczzzvcuuuvvc. 2/13 What is prob of picking 1 d and 1 e when two letters picked without replacement from {v: 2, m: 4, d: 1, x: 1, e: 11}? 11/171 Calculate prob of picking 1 a, 1 s, and 1 t when three letters picked without replacement from arrbsjbt. 1/56 Calculate prob of picking 4 g when four letters picked without replacement from ddgggg. 1/15 Four letters picked without replacement from {g: 1, x: 4, i: 2, z: 2, j: 3, c: 8}. What is prob of picking 1 i and 3 z? 0 Two letters picked without replacement from zahtkahktaea. Give prob of picking 2 a. 1/11 Three letters picked without replacement from {s: 7, r: 4, n: 6}. What is prob of picking 1 s and 2 r? 21/340 Two letters picked without replacement from {r: 6, u: 1, f: 4, j: 3, n: 3, o: 2}. Give prob of picking 1 j and 1 r. 2/19 What is prob of picking 3 l when three letters picked without replacement from lllllllllllllbllllll? 17/20 Three letters picked without replacement from {i: 10, d: 4}. What is prob of picking 3 i? 30/91 What is prob of picking 2 q when two letters picked without replacement from qtqf? 1/6 Two letters picked without replacement from hthln. Give prob of picking 1 t and 1 n. 1/10 Calculate prob of picking 3 f when three letters picked without replacement from {f: 10}. 1 What is prob of picking 1 m and 3 n when four letters picked without replacement from nmnnmnnnmnnmnnnnnnnm? 455/969 Four letters picked without replacement from {x: 2, h: 1, n: 4, y: 3, c: 4}. What is prob of picking 2 n, 1 x, and 1 h? 12/1001 What is prob of picking 1 f and 1 w when two letters picked without replacement from wwwfwwwwwfiwwwwwt? 13/68 Calculate prob of picking 1 w and 1 e when two letters picked without replacement from {o: 1, q: 3, w: 3, b: 2, l: 1, e: 2}. 1/11 Four letters picked without replacement from {p: 10, d: 5, t: 1, y: 4}. What is prob of picking 1 t and 3 d? 2/969 Calculate prob of picking 2 c, 1 b, and 1 t when four letters picked without replacement from {t: 5, b: 1, q: 3, v: 3, h: 1, c: 2}. 1/273 Calculate prob of picking 1 l, 1 g, and 2 u when four letters picked without replacement from {n: 2, v: 1, b: 2, l: 1, u: 2, g: 4}. 4/495 Four letters picked without replacement from {h: 5, w: 2, p: 1, b: 3, s: 1}. What is prob of picking 1 p, 1 b, 1 s, and 1 h? 1/33 What is prob of picking 4 s when four letters picked without replacement from sssshssssssssshhssh? 455/1292 Calculate prob of picking 1 o and 1 w when two letters picked without replacement from ruobuuwu. 1/28 Two letters picked without replacement from {s: 8, x: 1, i: 5, w: 2}. Give prob of picking 2 s. 7/30 Calculate prob of picking 1 a and 1 y when two letters picked without replacement from ooamhmmaommyaao. 4/105 What is prob of picking 1 g and 1 s when two letters picked without replacement from gnxlulunusns? 1/33 Two letters picked without replacement from {d: 12, v: 3}. What is prob of picking 2 d? 22/35 Four letters picked without replacement from iiiigiiizdiiz. Give prob of picking 2 z, 1 g, and 1 d. 1/715 Three letters picked without replacement from {n: 1, p: 1, j: 1, s: 2, i: 2, h: 1}. Give prob of picking 1 h, 1 j, and 1 p. 1/56 What is prob of picking 2 x and 2 n when four letters picked without replacement from xnxxnnnnnnx? 21/55 Calculate prob of picking 2 i when two letters picked without replacement from rrirjijrrirrrrrjri. 2/51 Four letters picked without replacement from nnvrlnvvvclnlc. What is prob of picking 2 v, 1 l, and 1 r? 18/1001 Calculate prob of picking 2 o and 1 n when three letters picked without replacement from ooon. 3/4 What is prob of picking 4 s when four letters picked without replacement from vvvvssvvvvvssv? 1/1001 Calculate prob of picking 1 d and 1 y when two letters picked without replacement from ppypppdpppdppp. 2/91 Calculate prob of picking 1 w, 1 f, and 1 v when three letters picked without replacement from fpwvwpwwvv. 1/10 Two letters picked without replacement from {o: 2, l: 5, k: 2}. Give prob of picking 2 o. 1/36 Three letters picked without replacement from {j: 2, w: 3, y: 8, n: 3}. What is prob of picking 1 n, 1 y, and 1 w? 9/70 Three letters picked without replacement from hbqbjobjbbbmbb. What is prob of picking 1 m, 1 q, and 1 b? 2/91 What is prob of picking 2 a and 1 h when three letters picked without replacement from sambssambmsassmmahmm? 1/190 Calculate prob of picking 3 j and 1 p when four letters picked without repl
{ "pile_set_name": "DM Mathematics" }
.82. What is the third biggest value in x, v, 1/4, 2/5? 1/4 Suppose 0 = -5*t + 4*u + 39 - 8, -20 = -4*t + 4*u. Which is the smallest value? (a) -3/10 (b) t (c) 0 a Let g = -0.924 - 0.156. Let r = -0.78 - g. Suppose 2*z + j = -4*j - 4, 21 = 5*z - 3*j. Which is the second biggest value? (a) 8 (b) r (c) z c Suppose -1175*q = -864*q - 622. What is the second smallest value in q, -3, 1.032? 1.032 Let v be ((-14)/6 - -3) + (-8)/30. Let n = -379.2 - -377. Let i be (-2)/(-3) - (-32)/(-66). What is the third biggest value in v, i, n? n Let n = 228 + -150. Let h = n - 64. Which is the smallest value? (a) 2/9 (b) -2 (c) h b Let k = 6714.8 - 6715. Let z = -19 - -19.1. Which is the third smallest value? (a) z (b) k (c) -92 a Let o be (-20)/5 - 2022*2. Let l = 19933/5 + o. Let z = -61 - l. Which is the second biggest value? (a) z (b) 3 (c) 1 c Let v = 373/3 + -126. Let i = 75.6 + -66. Let t = 18.6 - i. Which is the third biggest value? (a) 3/2 (b) v (c) t b Let q = 66620 - 66620. Let y = 0.4 - 0.2. Let z = 0.1 - y. Which is the second smallest value? (a) 0.08 (b) z (c) q c Let l be ((-1015)/435)/((-21)/3). Let u = 0.2 + 1.8. Let k = 0.6 - 0.1. Which is the smallest value? (a) k (b) 4 (c) u (d) l d Let p = 2979/32285 + -4/2935. What is the smallest value in p, -1, 0.2, -134, -0.4? -134 Let y = -1869 - -1873. Suppose -2*o + 23*r - 19*r - 18 = 0, -2*r + 5 = -5*o. What is the smallest value in 4/7, 8, o, y? 4/7 Let p = 197 + -201. Let x = -145/6 - -24. Which is the smallest value? (a) -3 (b) x (c) 0.3 (d) p d Suppose -70 = 8*k - 1638. Suppose k = 3*f + 181. What is the biggest value in 0, f, 0.13? f Let n = 23.3 - 18.3. Let j = 0.69 - -8.31. What is the second biggest value in -3, j, -3/5, n? n Let u = 16638422/599495 - 2/9223. Let m = u + -138/5. Let k = 2 - 3. Which is the fourth biggest value? (a) k (b) 0 (c) m (d) 4/3 a Let w be 2/5 - 12/10. Let l = -84825 + 84834. Which is the third smallest value? (a) 3 (b) w (c) -0.4 (d) l a Let u = 1.7078 + -1.6078. What is the biggest value in -0.3, 20, u, -3? 20 Let s be (8 - (-136)/(-8)) + 136/16. Let l be (-87)/(-178) + 4/(-8). Which is the fourth smallest value? (a) 5 (b) s (c) 0 (d) l a Let o = 7805 + -7808. Which is the fourth smallest value? (a) o (b) -5 (c) 13 (d) 4 (e) 0 d Let z be 24/(-14) - (-4)/(-14). Let t be (-118)/(-40) + (-70)/(-525) + -3. Which is the smallest value? (a) 2 (b) 3 (c) z (d) t c Let t be (8/72)/((-4)/(-16)). Let v be 10/(-4) - 6/(-4). Which is the third smallest value? (a) t (b) -0.3 (c) -0.04 (d) v c Let s be (-13 - 9) + 124/6. Let v = 3.98 + 0.02. Let j = 2/17 - -9/68. What is the smallest value in s, j, v? s Let g = -87.06 - -87. Let w = 0.3 + -1.3. Let u = 2119 + -2118.6. What is the biggest value in u, g, w, -2/11? u Let p be ((-114)/10 - -11)*-1. What is the fourth smallest value in 7, -2, p, 0.1? 7 Let v = 3314 - 13255/4. What is the fourth biggest value in -0.1, v, 7, 0? -0.1 Let l be (-1077)/12 + 2 + 63/(-28). What is the fourth biggest value in l, -3, -5, 0.2? l Let p = 2 + -1. Let x = -0.02872 - -2.02872. Which is the second smallest value? (a) x (b) 19 (c) -4 (d) p d Let o = -4.1265 - -4.2265. What is the third smallest value in 0.072, o, 6? 6 Let i = 402 + -307.6. Let y = i + -94. Let z = 2.01 + -0.01. Which is the fourth smallest value? (a) z (b) 1/5 (c) y (d) 1 a Let f = -50.073 - -0.073. Let l(m) = -2*m**3 - 172*m**2 + 313*m - 3430. Let q be l(-88). Which is the fourth smallest value? (a) 2/13 (b) q (c) f (d) -0.2 b Let p = 27 + -27.56. Let d = 24.44 - p. Let u = 25 - d. Which is the third biggest value? (a) -0.01 (b) 0.2 (c) u a Suppose 3*g - 6 + 3 = 0. Let v = 147 + -147. Let k = 0 - 4. Which is the biggest value? (a) v (b) g (c) k (d) -0.03 b Let n = -36542 - -36542.2. Which is the third biggest value? (a) -32 (b) 53 (c) n a Let q = 0.06 + -3.06. Let r = -2.6274 + -1111.2726. Let m = r + 1114. Which is the fourth smallest value? (a) -2 (b) -1 (c) q (d) m d Suppose 13*w - 140 = -15*w. Let u be (w/25)/(105/(-75)). Let x = -0.5 + 0. Which is the smallest value? (a) -14 (b) x (c) u a Let g = -5.2 - 4.1. Let w = 9 + g. What is the fourth smallest value in -0.5, w, 1/5, -2? 1/5 Let x = -7.6 + 7.602. Let q = -22.002 + x. Let f = -217/6 + 36. What is the smallest value in f, -2/5, q? q Let t = 29/105 + -1/7. Let u = -14868.8 - -14869. What is the third biggest value in t, 29, u? t Let f be (-19)/(1197/(-28))*-9. What is the biggest value in f, 0.4, 592? 592 Let r = -1488 + 778. Let q = 709.6 + r. Which is the third smallest value? (a) 1 (b) -0.2 (c) q a Let y = 163.7 - 159.7. Which is the third smallest value? (a) -164 (b) y (c) -1 (d) -0.4 d Let v be 14/(-44)*(-68)/(-9401). What is the biggest value in v, 0.07, -0.3? 0.07 Let q = 92.7 - 92.3. Let k = -71 - -70. What is the second smallest value in 0.9, k, q, 1/2? q Let x = -3 - -3.5. Let s = -10193/5 - -2038. Which is the third biggest value? (a) -1.3 (b) x (c) s a Let u = -97/1334 - 85/8004. Let c be (-4)/(-10) + 23/5. What is the third biggest value in -1/5, u, 2/13, c? u Let s = -0.0588 + 317.0588. Let j = 322 - s. Which is the third biggest value? (a) 0.1 (b) j (c) -50 c Let g(v) = -v**3 - 32*v**2 + 2*v + 72. Let j be g(-32). Let d = j - 31/4. What is the second smallest value in 0.1, -3, d, 2/13? 0.1 Let x = -31.94 - -31.99. What is the second smallest value in -3, 65, x? x Let x be (-55)/(-45) + (-200)/180. Which is the third smallest value? (a) 33 (b) 2/11 (c) x a Let y = 2 + -7. Let o = 98260/3 + -32753. What is the smallest value in -0.1, y, o, 0.2? y Let f = -42.2 + 68.3. Let j = -25.7 + f. Let y(b) = -b**3 + 4*b**2 + b - 4. Let d be y(4). What is the biggest value in d, j, 1/4? j Let l be 798/224*(-2 + (-4)/3). Let z = 93/8 + l. What is the second biggest value in -2, 0.8, z? z Let g = 104 + -55. Let z = -207 + 154. Let w = z + g. Which is the second biggest value? (a) w (b) -0.1 (c) 0 b Let d be ((7 + 1)/2)/(4/(-2)). Let y be (-2812)/(-152) - d/4. Which is the biggest value? (a) y (b) -3/4 (c) 4 a Let a = -1.9731 - 0.0269. Let z(n) = n**3 - 14*n**2 - 2*n - 41. Let o be z(15). What is the biggest value in a, -4/5, o? o Let q = -12 + 7. Let s(g) = -19*g - 27. Let z(r) = -6*r - 11. Let i(b) = -2*s(b) + 7*z(b). Let t be i(q). What is the second biggest value in 1/4, -4, t, -2? -2 Suppose 8*u + 290 = 34. Let x = u + 93. Let z = -245/4 + x. Which is the second biggest value? (a) 3/7 (b) z (c) -4/3 (d) 0.27 d Suppose 0 = 5*n + m + 2*m - 19, -2*n + m + 12 = 0. Let c = 5.2 - -18.8. Let l = -27 + c. What is the second smallest value in n, 0.4, l? 0.4 Let y = 0.46787 + -0.36787. Let r = 3 + -2.8. Let i = 0.2 - r. What is the second smallest value in 0.05, y, 4/7, i? 0.05 Let n = -3886 - -42785/11. Let x be (173/(-20))/(11/(-4)). Let k = x - n. Which is the second smallest value? (a) -0.3 (b) 0.4 (c) k (d) 5 a Let t = 11 + -13. Let n = -5.1013 - -0.1013. What is the third biggest value in t, 1, n, -3? -3 Let w = -270 - -169. Let s = -98 - w. Let d = 2.7 - s. What is the biggest value in -38, -5, d? d Let p be (-318)/901*3/9. What is the third smallest value in 713, 2, p? 713 Let p = -646.66779 + 0.06779. Let t = -647 - p. What is the third biggest value in t, 0, 22/5? t Let y = -8976 - -9130. What is the biggest value in y, 4, 1/7, 3? y Let m = 195 + 58. Let b = m - 256. What is the fourth biggest value in -1, b, 2/5, -2/3? b Let m = -0.197 + -99.803. Let k = m + 103. Which is the second biggest value? (a) 1/6 (b) k (c) -11 a Let r = 20.683 + -20.283. Let g = 306/35 - 64/7. Which is the fourth smallest value? (a) r (b) g (c) -1/2 (d) -1 a Let o = 4.7 - 4.6. What is the fifth smallest value in -1, o, -45, -2/9, 0? o Let c = -229.9 + -3.1. Let h = c - -228. What is the fourth smallest value in 16/5, h, 0, -4? 16/5 Let k be ((-6)/(-5))/(11/(-55)). Let z be (-1)/k - 5/(-90). Let d = 386 + -1936/5. Which is the third biggest value? (a) d (b) 4 (c) z a Let r = 7 + -12. Let y = 15267 - 15263. Which is the third smallest value? (a) y (b) r (c) 2/7 (d) 1 d Let b = 5.359 + -4.859. What is the second biggest value in 2, -29, b, -5, 4? 2 Let h = -4 - 4. Let y = -219 + -610. Let v = 829.4 + y. Which is the thi
{ "pile_set_name": "DM Mathematics" }
k and b? 126 Let k = 18 - 15. Suppose 5*g + 2*u + k*u + 110 = 0, -4*g - 84 = 3*u. Calculate the lowest common multiple of 4 and -1 + (-5)/(10/g). 8 Suppose 5*g = 10*y - 11*y + 8, 96 = 4*y + 4*g. Calculate the lowest common multiple of y and 13. 364 Let v = 416 - 398. Suppose 10 = 3*n - 8. Calculate the smallest common multiple of n and v. 18 Let g = 1144 - 15917/14. Calculate the common denominator of -103/1216 and g. 8512 Calculate the common denominator of 1/112 and -74 + 68 + 17/14. 112 Suppose 28 = 10*y - 8*y + 4*a, -y - 4*a + 8 = 0. What is the least common multiple of y and 14? 140 Suppose -9 = -y + m, -5*y + 2*m = 7*m - 75. What is the lowest common multiple of 3/(-6) + (-25)/(-2) and y? 12 Let k = -91 - -95. Calculate the least common multiple of 18 and (2/5)/((-7)/(-1540)*k). 198 Let u = -393197/18 - -21838. Let h be (-5042)/42 + 6/(-9). Let d = h + 17229/140. What is the common denominator of u and d? 180 Let d(q) = -q + 1. Let o(a) = a. Let l(u) = -6*d(u) + o(u). Calculate the smallest common multiple of 5 and l(2). 40 Let l = 540 - 59. Let t = -1977/4 + l. Calculate the common denominator of t and 3/(-120)*150/20. 16 Let x = 0 + 8. Suppose -3*i + 242 = 131. Let f = -27 + i. Calculate the lowest common multiple of f and x. 40 Let u = -932/129 - -3791/860. What is the common denominator of 83/66 and u? 660 Let z(s) = -2*s + 103. Calculate the least common multiple of z(48) and 11. 77 Let v = -9115/4 - -2302. What is the common denominator of v and (-4368)/351 - (-19)/((-57)/(-30))? 36 Let f be (-3 - (-75)/21) + (-29234)/77. Let y = f + 36859/99. Find the common denominator of y and -95/8. 72 Let f = -41050239/8980 + -2473/898. Let j = f + 4575. Calculate the common denominator of (1 + 56/3)*117/156 and j. 20 Let u = 6 + -2. What is the common denominator of 1 - 25*(-2)/(-12) and u*(-1)/2 - (-69)/27? 18 Let c = -483 + 3011/6. Let j = -153318/25 + 6131. Find the common denominator of j and c. 150 Find the common denominator of 115/24 and 3*(-7)/(-3) - 986/147. 1176 Let a = -580589/485128 - -3/8663. What is the common denominator of -28/3 and a? 168 Let o = 2 + 0. Let a be (-23)/(-7) + (-4)/14. Suppose -a*f + 140 = o*f. What is the smallest common multiple of f and 18? 252 Suppose 812 - 42 = 5*y. Suppose 3*p = -12, -3*l - 6*p + 2*p = y. Calculate the common denominator of 4/(-2 + (-96)/l) and -21/2. 2 Let k be 8/6*(4 - 1). Suppose -u = 3*u - k*h - 16, 0 = h + 5. Calculate the lowest common multiple of 6 and u + (3 + -3 - -11). 30 Let w = 778943/290 - 2686. Let d = -2539/145 + w. Find the common denominator of d and -107/6. 6 Find the common denominator of -15/436 and 1/(-1) - -2 - 135/(-6). 436 Let l be (-6 - -2 - -2) + -5 + -5. Find the common denominator of -23/12 and (189/l - -1)/(-6). 24 Suppose 0 = -5*f + 5, g + 13 = -2*g + f. Let a be (-12)/9*(g + -2). Suppose 5*i = 2 + a. Calculate the least common multiple of i and 6. 6 Let l(f) = -188*f - 867. What is the least common multiple of l(-11) and 11? 13211 Find the common denominator of -17 and (2/32)/((-561)/(-81) + -7). 32 Calculate the common denominator of 89/8 and ((-2)/(-12))/((-130)/(-3627)) - 5. 40 Suppose 17 = 5*y - 4*y - 5*x, 2*y - x - 43 = 0. Suppose -5*d - 2*c - 117 = 113, c + 139 = -3*d. Let w = d + 56. What is the lowest common multiple of y and w? 88 Suppose -3*o - 22 + 40 = 0. Let u = -6 - -24. What is the lowest common multiple of u and o? 18 Suppose -2*z + 6*z = 4*n + 45248, 5*n - 33960 = -3*z. Let l = z + -135629/12. What is the common denominator of 39/2 and l? 12 Let z be (40/10)/(3/((-6)/(-4))). Suppose d = -4*d + k - 55, 2*d = -z*k - 22. Find the common denominator of d and -23/3. 3 Let h(m) = -m + 7. Let s be h(5). Suppose 0 = s*y - 3 - 13. Suppose q = 2*w - 3*q - 22, 0 = 3*w + 3*q - 15. What is the lowest common multiple of w and y? 56 Suppose -5*i + 42 = t, 6*t = 2*t + 4*i + 96. Suppose 4*h - h - 27 = 0. Calculate the lowest common multiple of (32/24)/(6/t) and h. 18 Let m = -1854 - -1896. Calculate the lowest common multiple of 36 and m. 252 Suppose 2*t = -3*r + 7*r - 8, -6 = 3*t. Let z(a) = -a + 4. What is the lowest common multiple of z(r) and 1? 3 Suppose q - 87 - 70 = 0. Suppose -m = 3*m + 5*b + q, -4*m - 152 = 4*b. Let n = m - -40. Calculate the least common multiple of n and 6. 42 Suppose -4 = 2*a, 5*n - 5*a = -7*a + 36. What is the least common multiple of n and 126? 504 Let q = -1381/666 + -11/74. Calculate the common denominator of q and -5 + 12/(-252)*(-25 + -1). 63 Suppose -4*u = 2*y - 736 - 84, -4*y + 1655 = 5*u. Calculate the common denominator of 2/11 and (-904)/y + (-4)/30. 77 Suppose 12*l - 143 = -l. Calculate the common denominator of 14 and 3 - (-3 + (-1 - (-101)/l)). 11 Suppose 2*c = -0*c + 42. Let i = -28 + c. What is the common denominator of (273/(-30))/i + 2 and -19/8? 40 Let f = -389 + 413. Calculate the least common multiple of f and 42. 168 Let t(z) = -z**2 + 2*z + 2. Let q be (-5 + 10)*(17/5 - 3). What is the lowest common multiple of 6 and t(q)? 6 Let r = -12 - -15. Let v be 2 - (r + (38 - -1)). What is the common denominator of (-259)/(-40) + 24/v and -46/13? 104 Let c be (-4 - -67)*(-4)/(-6). Suppose -3*b + 2*b - g = 36, 4*g = -3*b - 104. Let s = c + b. Calculate the least common multiple of s and 30. 30 Let b = -63 - -89. Let u = b + -22. Calculate the least common multiple of u and 12. 12 Let b = -2725/9 - -53897/180. Find the common denominator of b and 33/155. 620 Let c = 580 - -411. Calculate the smallest common multiple of 8 and c. 7928 Suppose -4*c = w - 79 - 438, 2*w + 374 = 3*c. Calculate the least common multiple of c and 12. 384 Suppose -2*n + 33 = -3*x, -4*x + 21 = 4*n - 15. What is the lowest common multiple of n and (33/4)/((-3)/(-8))? 132 Let v = -131527/6 - -21869. Let n be (-1439)/((-30)/(1 - 2)). Let a = v - n. What is the common denominator of a and 74/9? 45 Let t = -1280 - -7693/6. Calculate the common denominator of (4/(-3))/((-2)/28) and t. 6 What is the common denominator of ((-172)/(-72))/(2/2) and (94/10*(-95)/76)/(5 - -2)? 252 What is the smallest common multiple of 60 and ((-10)/65)/(3/(-39))? 60 Let k(l) = 35*l**3. Let n be k(1). Suppose 31 = v - j, -v - j + n = -0*v. What is the lowest common multiple of v and 2? 66 Let u = -1482 + 9017/6. Find the common denominator of u and 109/238. 714 Let q = -645793/30 - -21529. Calculate the common denominator of 41/2 and q. 30 Let u = -14 + 20. Suppose 0 = 2*p - u - 8. Calculate the common denominator of (3/p)/(10/65) and 29/8. 56 Let w = -369/2150 + 4/25. Calculate the common denominator of w and 11/10. 430 What is the common denominator of (-15)/3 + 9 - (-297)/36 and 38/1061? 4244 Suppose 0 = 692*h - 688*h - 240. Calculate the least common multiple of 15 and h. 60 Let z(y) = y**3 - 14*y**2 - 18*y + 5. Let a be z(7). Let j = -73/40 + 2557/360. Find the common denominator of (1/(-4))/(-1) + 124/a and j. 522 Let j(m) = 35*m + 56. Calculate the smallest common multiple of j(6) and 6. 798 What is the least common multiple of 39 and (-28)/(-21)*(-3)/(-1)? 156 Let x(v) = -4*v + 33. Let s be x(7). Suppose 2*m - 14 = -3*c, s*m = 2*c + 4 + 12. Calculate the least common multiple of 5 and c. 10 Let a(w) be the second derivative of w**4/12 - 3*w**2/2 - 7*w. Let m(i) = -i**3 - i - 4. Let o be m(0). Calculate the least common multiple of 6 and a(o). 78 Let u be 98/35 + 1/5. Let a = 1 + 13. Calculate the lowest common multiple of 2/(-3)*u*-4 and a. 56 Suppose -3*a = -8*a - 200. Let y = 42 + a. Suppose 3*s + 0*f - 33 = -3*f, -y*s + 17 = f. What is the least common multiple of 7 and s? 42 Let l = 1385754638/49 + -57009940471171/2015860. Let r = l + 6/2057. Calculate the common denominator of r and -93/14. 140 Let u be 7/28 + 3494/(-13848). Let m = u + 14437/5193. What is the common denominator of 2 + 27/15 - 1 and m? 45 Let w(j) = j**2 + 11*j + 22. Let t be w(-9). What is the common denominator of -64/15 and t/(-32)*62 - 4? 60 Let n = -51 + 25. Calculate the common denominator of -41/11 and (-6)/n - (2 + 0). 143 Let c = -21/29 - -1115/58. Let o(l) = l**3 - 4*l**2 - 14*l + 6. Calculate the common denominator of c and o(5). 2 Let c = -63817/219560 - 1/3992. What is the common denominator of 31/15 and c? 165 What is the common denominator of 71/58 and (-16524)/(-9048) + 3
{ "pile_set_name": "DM Mathematics" }
d derivative of -6*f**6 + f**6 + 13*f**2 - 8*f**j wrt f. -1560*f**3 Find the third derivative of 2*a + 115*a**3 - 2*a + 305*a**2 + 101*a**3 wrt a. 1296 Let r(o) be the second derivative of o**8/56 + 29*o**7/42 + 47*o**4/3 + 35*o - 3. Find the third derivative of r(c) wrt c. 120*c**3 + 1740*c**2 Let c(f) = -2*f**2 - f + 2. Let d(z) = 10*z**2 - 24*z - 125. Let a(k) = -6*c(k) - d(k). Find the first derivative of a(b) wrt b. 4*b + 30 Let g = -8 + 12. Let b be ((-2)/g)/((-10)/20). What is the first derivative of -r**4 + 6*r**4 + b - 2 wrt r? 20*r**3 Let s = -53 + 95. Differentiate s*r**4 - 64*r**4 + 17 + 5*r**2 - 5*r**2 wrt r. -88*r**3 Let k(x) = 10*x**3 + 19*x**2 + 17*x + 11. Let c(j) = -3*j**3 - 7*j**2 - 6*j - 4. Let b(w) = 17*c(w) + 6*k(w). Find the third derivative of b(y) wrt y. 54 Let o(i) be the third derivative of -161*i**4/24 - 6*i**3 - 160*i**2. Differentiate o(x) wrt x. -161 Let i(q) = -436*q**3 + 5*q**2 - 5*q + 69. Let c(j) = -654*j**3 + 7*j**2 - 7*j + 104. Let a(o) = -5*c(o) + 7*i(o). Find the first derivative of a(v) wrt v. 654*v**2 Suppose 4*h + 41 = 5*t - 0*h, 4*h = -4*t + 4. Suppose -2*o - 4*w - 4 = -2*w, -t*o = 3*w + 6. Find the second derivative of 8*x**5 + 2*x + o*x - 5*x wrt x. 160*x**3 Find the first derivative of p**4 + 64*p + 58*p - 119*p - 52 + 2*p**4 wrt p. 12*p**3 + 3 Let w(a) be the second derivative of -19*a**4/3 + a**3/3 + 8*a**2 - 63*a. Find the second derivative of w(p) wrt p. -152 Let z be 40/18 - -1 - 34/153. What is the second derivative of 24*q**4 - 137 + 137 + z*q - 11*q wrt q? 288*q**2 Let p(x) = x**2 + x - 1. Suppose 3*a + 16 = -2*d, 3*d - 11 - 3 = 5*a. Let w(t) = -3*t + 2. Let h(z) = d*w(z) - 6*p(z). What is the derivative of h(m) wrt m? -12*m Let z = -32 + 39. Suppose 0 = -b + z + 6. What is the first derivative of -13*f + b - 9 - 17 wrt f? -13 Let x(f) = -353*f + 554. Let z(l) = -70*l + 111. Let m(q) = -2*x(q) + 11*z(q). Differentiate m(r) with respect to r. -64 Let v(z) be the third derivative of 0 + 0*z**3 - 2/3*z**4 + 0*z + 0*z**5 + 17*z**2 + 1/60*z**6. Find the second derivative of v(l) wrt l. 12*l Let r(h) = -h**4 - 2*h**2 + 3. Let w(f) = 357*f**4 + 10*f**2 + 187. Let y(s) = 5*r(s) + w(s). Differentiate y(l) wrt l. 1408*l**3 Suppose 0 = -39*q + 34*q + 35. Let n(t) be the second derivative of 2/3*t**4 + 0 + 0*t**2 + q*t - 7/6*t**3. Find the second derivative of n(y) wrt y. 16 Let v(u) be the third derivative of -11*u**5/4 - 59*u**3/3 + 2*u**2 - 55*u. Find the first derivative of v(k) wrt k. -330*k Let n(p) = -15*p + 6. Let l(w) = 1 + w + 0*w + 0*w. Let z(x) = -5*l(x) - n(x). Find the first derivative of z(f) wrt f. 10 Let o(a) be the first derivative of -167*a**3/3 - 77*a**2/2 - 151. Find the second derivative of o(r) wrt r. -334 Let v(o) = o**2 - 18*o + 37. Let m be v(16). What is the third derivative of n**5 + 20*n**2 - 3*n**5 - 7*n**m - 14*n**5 wrt n? -1380*n**2 Suppose -5*s = 5*z, -s + 4*s - 2 = -4*z. Let n be (2/6)/((-1)/(-9)). Find the third derivative of -z*u**3 + 0*u**2 - 4*u**2 + 2*u**3 - u**n wrt u. -6 Suppose -2*p + 30 - 8 = -5*o, -3*o - 14 = -2*p. Let f(b) = b + 14. Let r(u) = -u. Let h(x) = o*r(x) - f(x). Find the first derivative of h(a) wrt a. 3 Let l = -39 - -48. What is the third derivative of l*g**2 + 18*g**2 - 13*g**2 - 2*g**4 wrt g? -48*g Let g(b) be the third derivative of 13*b**9/56 + b**5/4 - 23*b**3/6 - 686*b**2. What is the third derivative of g(q) wrt q? 14040*q**3 Let x be 296/56 + (-6)/21. What is the third derivative of 30*u**5 + 2*u**2 - 82*u**x + 18*u**5 wrt u? -2040*u**2 Differentiate -104 + 2*u + 309 - 36 wrt u. 2 Find the second derivative of -2*f**3 + 16*f - 11*f**2 - 5*f**3 + 8*f**2 wrt f. -42*f - 6 Let f(o) = 0*o**5 - 2 + 5 - 12*o + 2*o**5 + 6. Let i(h) = -h + 1. Let n(q) = 4*f(q) - 36*i(q). What is the second derivative of n(c) wrt c? 160*c**3 Let f(q) be the second derivative of 5*q**7/21 + 2*q**5/5 + 13*q**4/2 - q**2 - 84*q. Find the third derivative of f(b) wrt b. 600*b**2 + 48 Let v(n) = -110*n + 101. Let x(l) = -220*l + 200. Let r(u) = 5*v(u) - 3*x(u). Differentiate r(q) with respect to q. 110 Let w be (-1 + 2)*(6 - 0/2). Let p = 3 - -2. Find the third derivative of 2*z**2 + p*z**4 - z**4 - 4*z**4 - w*z**5 wrt z. -360*z**2 Let y(x) be the first derivative of -2/3*x**3 + 0*x + 0*x**2 - 1 - 5/2*x**4. What is the third derivative of y(n) wrt n? -60 Let r(n) = 5*n**5 + 6*n**4 - 13*n**2 - 9*n - 8. Let i(j) = j**5 + j**4 - j**2 - 1. Let q(g) = 6*i(g) - r(g). Find the second derivative of q(c) wrt c. 20*c**3 + 14 Let m(t) = -3*t. Let f be m(-3). Suppose 0 = 4*s - 15 - f. Find the second derivative of -s*b - 8 + 8 - 5*b**4 wrt b. -60*b**2 Let v(l) = l**2 + 4. Let u(z) = -z**3 + 3*z**2. Let s be u(3). Let t be v(s). Find the second derivative of 0*d**4 - 4*d + 5*d**4 + 4*d**t wrt d. 108*d**2 Let d(l) be the second derivative of 22*l + 5*l**2 + 0 + 23/6*l**3. Differentiate d(m) with respect to m. 23 Let l(x) be the third derivative of 191*x**6/60 + x**5/60 - 425*x**3/6 + 32*x**2. Differentiate l(k) wrt k. 1146*k**2 + 2*k Find the third derivative of -75*b**6 - 20*b**2 - 54*b**2 - 46*b**6 wrt b. -14520*b**3 Let i(v) be the second derivative of 0 + 9*v + 19/6*v**3 + 11/2*v**2. What is the first derivative of i(u) wrt u? 19 Let x(s) be the second derivative of 13*s**8/14 - 211*s**4/12 + 13*s - 2. What is the third derivative of x(d) wrt d? 6240*d**3 Suppose -4*r = 5*b - 7, -4*b + 3*r + 18 = -0*b. Suppose t + 0*t - b = 0. Differentiate -17*v**3 + 7*v**t + 1 + 5*v**3 wrt v. -15*v**2 Suppose 5*z + 67 = 2*p, -5*z - 93 = -7*p + 4*p. What is the first derivative of 30 + l + p*l**2 + 38*l**2 - 53*l**2 wrt l? 22*l + 1 Let f be 12/42 - (-24)/14. Suppose f = 3*q - 4. What is the second derivative of -m - m + 3*m + q*m - 5*m**2 wrt m? -10 Let t(n) be the first derivative of -93*n**7/7 - n**4/2 - 3*n**3 - 8. Find the third derivative of t(l) wrt l. -11160*l**3 - 12 Let w(g) be the first derivative of -23*g**3 + g**2/2 - 8*g - 2. Find the second derivative of w(v) wrt v. -138 Let p(j) = 136*j**3 + 15*j**2 - 12*j. Let t(a) = 135*a**3 + 17*a**2 - 13*a. Let m(h) = 7*p(h) - 6*t(h). Find the third derivative of m(w) wrt w. 852 Let b(y) = -y**2 + y. Let g(c) = 70*c**3 + 3*c**2 + 3*c. Let l(h) = 3*b(h) - g(h). What is the third derivative of l(w) wrt w? -420 Let j(d) be the third derivative of -d**9/504 + 5*d**6/24 + 4*d**5/15 + 2*d**2 - 54. Find the third derivative of j(r) wrt r. -120*r**3 + 150 Let d(l) be the first derivative of 40*l**4 - l**3/3 + 5*l**2/2 - 23. What is the third derivative of d(n) wrt n? 960 Suppose z = -0*z. Let p be 1 + z/(-2) - 0. Differentiate -6*c + 7*c + c + p with respect to c. 2 Let v(k) be the third derivative of 0 - 29/24*k**4 - 1/42*k**7 + 0*k**5 + 0*k + 0*k**6 + 0*k**3 - 34*k**2. What is the second derivative of v(x) wrt x? -60*x**2 Suppose -2*l + 5 = 1. Suppose f + 0 = 2. Find the third derivative of -6*r**4 + 0*r**2 - r**2 + 0*r**f + 2*r**l wrt r. -144*r Let c(d) = 31*d - 11. Let n(g) = -g - 1. Let p(s) = -2*s + 11. Let o be p(6). Let t(a) = o*c(a) + 3*n(a). What is the first derivative of t(r) wrt r? -34 Let v(w) be the third derivative of -11*w**7/5040 - w**6/90 + w**5/10 - 6*w**2. Let r(q) be the third derivative of v(q). What is the derivative of r(s) wrt s? -11 Let x be -3*(2 + -3)/1. Differentiate c**3 - x*c**3 + 6 + 4*c**3 - c**3 wrt c. 3*c**2 Let a(n) be the first derivative of -529*n**6/6 - n**2 - 148*n - 533. What is the second derivative of a(g) wrt g? -10580*g**3 Let l(d) = 14*d - 5. Let z be l(3). Differentiate 8*g**3 + z*g + 19 - 37*g with respect to g. 24*g**2 Let m(x) be the third derivative of x**9/252 - 2*x**7/5 - x**5/6 + 2*x**3/3 - x**2. What is the third derivative of m(p) wrt p? 240*p**3 - 2016*p Let k(o) be the first derivative of o**3/3 + 55*o**2 + 18*o + 30. Differentiate k(v) with respect to v. 2*v + 110 Let f(y) = -y**3 - 29*y**2 + 30*y + 30. Let r be f(-30). Find the third derivative of -13*k**3 + 29*k**2 + r*k**2 - 15*k**2 + 41*k**3 wrt k. 168 Let c(d) = 280*d**4 - 27*d**3 + 154*d - 6. Let j(q) = -56*q**4 + 5*q**3 - 31*q + 1. Let k(h) = 2*c(h) + 11*j(h). What is the second derivative of k(m) wrt m? -672*m**2 + 6*m Suppose 2*i = n + 8, -5*i + 2*i + 15 = 0. Let l be n/6 - (-4)/(-12). What is the second derivative of l + 4*u**2
{ "pile_set_name": "DM Mathematics" }
ters picked without replacement from {h: 3, e: 3, j: 10, l: 2}. What is prob of picking 1 e, 1 l, and 2 h? 1/170 Calculate prob of picking 1 e and 1 x when two letters picked without replacement from fexfefffefxefe. 10/91 Three letters picked without replacement from jgjgjgggjj. What is prob of picking 2 g and 1 j? 5/12 Calculate prob of picking 2 l when two letters picked without replacement from eglflgkggfggffegeegg. 1/190 Two letters picked without replacement from {y: 2, f: 4}. What is prob of picking 2 y? 1/15 Two letters picked without replacement from ggggagooggoooaagoo. Give prob of picking 2 o. 7/51 Three letters picked without replacement from {x: 1, d: 1, q: 5, t: 2, f: 1}. What is prob of picking 2 q and 1 f? 1/12 Four letters picked without replacement from hhhhylkhkflfy. Give prob of picking 2 h, 1 k, and 1 f. 8/143 Calculate prob of picking 3 c and 1 t when four letters picked without replacement from ccttpppcpptc. 4/165 Three letters picked without replacement from {x: 4, q: 5, z: 2, v: 2, f: 1}. What is prob of picking 3 q? 5/182 Two letters picked without replacement from kwsakka. What is prob of picking 1 a and 1 w? 2/21 Three letters picked without replacement from zzszszzbox. What is prob of picking 1 s, 1 o, and 1 z? 1/12 Four letters picked without replacement from {j: 1, b: 1, x: 3}. What is prob of picking 2 x and 2 b? 0 Four letters picked without replacement from feeeiifefiii. What is prob of picking 2 f, 1 i, and 1 e? 4/33 Two letters picked without replacement from uohsi. Give prob of picking 1 o and 1 s. 1/10 Two letters picked without replacement from rjeeeejr. Give prob of picking 2 e. 3/14 Calculate prob of picking 1 v and 3 f when four letters picked without replacement from ffffffffvffvvfffvvf. 455/969 Two letters picked without replacement from {r: 1, y: 9, w: 4}. Give prob of picking 2 y. 36/91 Calculate prob of picking 2 h and 1 a when three letters picked without replacement from hhhahahahhaah. 70/143 Calculate prob of picking 1 u and 2 n when three letters picked without replacement from yvunenuy. 1/28 What is prob of picking 1 g and 2 c when three letters picked without replacement from {k: 2, f: 2, n: 1, l: 2, c: 2, g: 3}? 3/220 Four letters picked without replacement from eeezzezzmmzazzzzzza. What is prob of picking 3 e and 1 m? 2/969 Four letters picked without replacement from nfnnfnnffffnfn. Give prob of picking 1 n and 3 f. 35/143 Calculate prob of picking 2 d when two letters picked without replacement from {f: 2, d: 7, i: 7, p: 2, u: 1}. 7/57 What is prob of picking 1 l, 1 b, and 1 h when three letters picked without replacement from {t: 2, o: 7, h: 2, l: 1, r: 1, b: 6}? 4/323 Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, c: 2, e: 5}. 1/36 Calculate prob of picking 1 z and 2 w when three letters picked without replacement from yzzuyuuuyuuuuuuzuuww. 1/380 Four letters picked without replacement from ccfccmcmkfcyfyccytm. What is prob of picking 1 k, 1 y, 1 c, and 1 f? 6/323 Two letters picked without replacement from almam. Give prob of picking 2 m. 1/10 Two letters picked without replacement from {u: 3, l: 3, a: 3, o: 8, g: 2}. Give prob of picking 2 u. 1/57 Three letters picked without replacement from {y: 2, m: 1, q: 7, f: 4, a: 4}. Give prob of picking 1 y and 2 a. 1/68 Four letters picked without replacement from udorddrdduwdrru. What is prob of picking 1 d, 2 u, and 1 o? 6/455 What is prob of picking 1 v and 1 l when two letters picked without replacement from {c: 1, b: 1, l: 3, v: 2}? 2/7 Calculate prob of picking 4 s when four letters picked without replacement from ssszssszzss. 7/33 Three letters picked without replacement from {n: 1, z: 18}. What is prob of picking 1 n and 2 z? 3/19 Four letters picked without replacement from jxccoecojjj. What is prob of picking 2 j and 2 o? 1/55 Four letters picked without replacement from {r: 2, s: 1, d: 1, q: 3}. What is prob of picking 1 s and 3 q? 1/35 Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {w: 2, b: 7, j: 3}. 7/33 Two letters picked without replacement from {b: 1, y: 18}. Give prob of picking 2 y. 17/19 Calculate prob of picking 1 u, 1 e, and 2 r when four letters picked without replacement from {s: 1, n: 1, e: 2, u: 4, r: 2}. 4/105 Two letters picked without replacement from apnvvhm. What is prob of picking 1 h and 1 a? 1/21 What is prob of picking 2 u when two letters picked without replacement from {r: 2, u: 9}? 36/55 What is prob of picking 1 e and 3 y when four letters picked without replacement from yyeeyeeeeeeeeeeeeye? 5/323 What is prob of picking 1 y, 2 l, and 1 j when four letters picked without replacement from lszszlrzyyyslzsjlsll? 3/323 Calculate prob of picking 2 l, 1 t, and 1 j when four letters picked without replacement from wjtlltjjoljjjjl. 4/65 Two letters picked without replacement from qqsqqs. Give prob of picking 1 s and 1 q. 8/15 What is prob of picking 2 b and 1 o when three letters picked without replacement from {o: 1, m: 1, f: 2, b: 3}? 3/35 Four letters picked without replacement from {t: 7, x: 9}. What is prob of picking 4 t? 1/52 Four letters picked without replacement from rihrrrhri. Give prob of picking 3 r and 1 h. 10/63 Calculate prob of picking 2 n, 1 w, and 1 e when four letters picked without replacement from wwnenwwjjwwwww. 9/1001 What is prob of picking 1 p and 1 b when two letters picked without replacement from epepxbexyxeyxpex? 1/40 Calculate prob of picking 1 f and 1 j when two letters picked without replacement from lffltjltwqwtql. 2/91 Calculate prob of picking 2 m and 1 o when three letters picked without replacement from mojolomdluuullj. 3/455 Four letters picked without replacement from ddwddddwddddddwd. What is prob of picking 3 w and 1 d? 1/140 Calculate prob of picking 3 o when three letters picked without replacement from {s: 3, o: 5}. 5/28 What is prob of picking 1 l, 1 d, and 1 f when three letters picked without replacement from tlrvdldfdddvfvd? 24/455 Two letters picked without replacement from tfott. What is prob of picking 2 t? 3/10 Four letters picked without replacement from mlmllmmmlmmmmmmmmm. What is prob of picking 3 m and 1 l? 364/765 Three letters picked without replacement from {n: 2, b: 4}. Give prob of picking 3 b. 1/5 What is prob of picking 3 d when three letters picked without replacement from {t: 8, c: 3, d: 5}? 1/56 What is prob of picking 4 t when four letters picked without replacement from tttttvttttttttt? 11/15 What is prob of picking 1 f and 2 n when three letters picked without replacement from clnlfnjlcjznnf? 3/91 Two letters picked without replacement from uddqqnudqnfqdddqqad. What is prob of picking 1 a and 1 q? 2/57 What is prob of picking 1 t, 1 j, 1 p, and 1 c when four letters picked without replacement from jxiicjjixjtjjpc? 4/455 Two letters picked without replacement from fuefwuuwwffjfwfejfe. Give prob of picking 2 f. 7/57 Two letters picked without replacement from {x: 1, y: 2, b: 1, r: 4, m: 1}. What is prob of picking 1 x and 1 r? 1/9 What is prob of picking 1 s and 3 b when four letters picked without replacement from ssbbssb? 4/35 Three letters picked without replacement from {c: 2, j: 11}. What is prob of picking 2 j and 1 c? 5/13 Three letters picked without replacement from {r: 2, e: 1, u: 5, y: 1, s: 3}. Give prob of picking 2 u and 1 s. 3/22 Two letters picked without replacement from fvffyfvlyffyvvfvv. Give prob of picking 2 v. 15/136 What is prob of picking 1 h, 1 y, and 1 c when three letters picked without replacement from cyceggcxcycxh? 5/143 Calculate prob of picking 1 k and 1 o when two letters picked without replacement from okorkkknor. 4/15 What is prob of picking 1 i, 2 l, and 1 w when four letters picked without replacement from {w: 1, l: 2, i: 2}? 2/5 Calculate prob of picking 1 r and 1 d when two letters picked without replacement from rdrdararrardaad. 8/35 Calculate prob of picking 1 c and 3 p when four letters picked without replacement from cccpcccppccccc. 1/91 What is prob of picking 2 n when two letters picked without replacement from nfeinffininfn? 5/39 Three letters picked without replacement from vymnnmxnvxvxvvvnynn. What is prob of pickin
{ "pile_set_name": "DM Mathematics" }
e 16*r - w*r = 0. Suppose q - v = 6*q - 6, -5*q - 3*v - 2 = r. What are the prime factors of q? 2 Let z = 4399 + 4738. What are the prime factors of z? 9137 Let z be (-12)/(-2) + (-5 + 4 - 0). Suppose 11*v = v + 30. Suppose -z*m = -v*b + 728, 3*m + 487 = b + b. What are the prime factors of b? 251 Let d(p) = p**3 - 55*p**2 - 5*p + 173. List the prime factors of d(57). 2, 31, 103 Suppose 7*p = 4*z + 18401, 5*p - 13163 = -0*p - 2*z. List the prime factors of p. 3, 877 Let k = -6 + -6. Let t be (2 + -4)/(k/(-24)). What are the prime factors of (t - 0)*(-6)/4? 2, 3 List the prime factors of 26955 + -1 + (2 + -3)*8. 2, 3, 499 Let m(f) = -f**2 - 16*f. Let j(t) = t**2 + 15*t. Let y(a) = 5*j(a) + 4*m(a). Let o be y(-17). Let i = o - 66. What are the prime factors of i? 2, 3 Suppose -1003*d + 1032*d - 166286 = 0. List the prime factors of d. 2, 47, 61 Let j(s) = 9*s + 190. Let y be j(-13). Suppose -y*q + 76*q = 714. List the prime factors of q. 2, 7, 17 Let c = -162 + 89. Let p = -29 - c. Suppose -6*i + 4*i + p = 0. List the prime factors of i. 2, 11 Let j = 81842 - 17618. What are the prime factors of j? 2, 3, 223 Let d(f) = -f**2 + 2*f + 2. Let s be d(0). Let q be (-8 + 3)/(-5)*(-70)/s. Let y = 82 + q. List the prime factors of y. 47 Let t(f) = -f + 10. Let o be t(14). Let u be 2/5 + (o/10)/1. Suppose 3 = -i, -5*s - 2*i = -u*i - 329. What are the prime factors of s? 67 Let p be (-184 - 17)/((-9)/(3 + 0)). Let a = 250 - p. List the prime factors of a. 3, 61 Let b = 25 + 1307. Suppose 5*w - b = -4*o, -3*o - 4*w = w - 999. What are the prime factors of o? 3, 37 Let r(m) = 80*m - 2. Suppose 15 = -2*i + 5*z, -i + 4*z = 16 - 1. Suppose i = -2*l + 7. List the prime factors of r(l). 2, 3, 13 Let q = 300 - -931. What are the prime factors of q? 1231 Let b = 11060 - 4157. List the prime factors of b. 3, 13, 59 Let g(z) = -353*z**2 + 6*z - 10. Let h(v) = -176*v**2 + 3*v - 5. Let t(j) = 2*g(j) - 5*h(j). List the prime factors of t(3). 2, 11, 71 Let s(c) = 1222*c - 1282. What are the prime factors of s(4)? 2, 3, 601 Suppose -5*o + 10788 = 2548. What are the prime factors of o? 2, 103 Let v(q) = q**2 - q - 59. Let z be v(-7). List the prime factors of (z/(-18)*-74)/(4/(-168)). 2, 7, 37 Let s be ((4 - 1) + -3)/(2 - 0). Suppose s = -54*g + 108127 - 23941. What are the prime factors of g? 1559 Let s = 29775 + -21054. List the prime factors of s. 3, 17, 19 Let i be -3 - (380 - (-4 - -7)). Let h = 799 + i. Suppose -3*u + h = -307. What are the prime factors of u? 2, 11 Suppose 0 = 2914*f - 2916*f + 3*l + 84151, 0 = f - l - 42074. What are the prime factors of f? 42071 List the prime factors of (-6 + 9 - (-2 - -7)) + 9980. 2, 3, 1663 Suppose 175*u = 3619673 + 1173577. List the prime factors of u. 2, 3, 5, 11, 83 Suppose -v + d + 7 = 0, -1 = 2*d + 7. Let t(q) = -1 + 0 - q**2 + q**v - 2*q + 5. List the prime factors of t(3). 2 Suppose 25*c - 20529 = 93371. What are the prime factors of c? 2, 17, 67 Let c = 168 - 166. Suppose -s + 5*j = -3*s + 553, -5*s + c*j + 1397 = 0. List the prime factors of s. 3, 31 Let r(a) = 2*a**2 - 6*a. Let l be r(2). Let p(n) be the third derivative of -n**5/60 - n**4/2 + 7*n**3/6 - 7*n**2. List the prime factors of p(l). 3, 13 Let v(l) = 248*l - 3. Suppose -5*k = -15, 0*a + 4*k = -3*a + 15. What are the prime factors of v(a)? 5, 7 Let a(j) = 2*j**3 - 158*j**2 + 170*j - 160. List the prime factors of a(80). 2, 5, 41 Suppose 5*r + 2*f - 38 - 117 = 0, 5*r - 170 = f. Let z be -3 + r - (0 - 4). Let u = 19 + z. What are the prime factors of u? 53 Let l = 23378 - 19332. List the prime factors of l. 2, 7, 17 Let n be -7 - -12 - (-2)/(-1). Suppose 14*i + 256 = 4*o + 9*i, -2*o = n*i - 150. List the prime factors of o. 3, 23 Suppose 4*f = -4*f + 18687 + 40505. What are the prime factors of f? 7, 151 Let h(m) = -3797*m - 209. List the prime factors of h(-3). 2, 5591 Let m = 5789 + -2407. List the prime factors of m. 2, 19, 89 Let j be 54 + -2 - (3 - 1). Let a = -44 + j. Suppose -3*g = -a*g + 219. What are the prime factors of g? 73 Suppose -5*z - 124872 = -5*z - 4*z. What are the prime factors of z? 2, 3, 11, 43 Suppose -3*i + 3*k - 5*k = -22, -i + k + 4 = 0. Let h be -14 + i/(-7 - -4). Let u = h + 124. List the prime factors of u. 2, 3 Suppose -25*q + 109 = -141. What are the prime factors of -3 + q - (-9960)/15? 11, 61 Let x(t) = -6*t + 4. Let m be x(0). List the prime factors of m/6 - (-10309)/39. 5, 53 Let n(q) = q**3 - 46*q**2 + 59*q - 90. List the prime factors of n(46). 2, 41 Let w be 6/(4 + (-232)/60). Suppose -4 = 47*f - w*f. List the prime factors of 2 + f + 34 + 1. 5, 7 Let w be (-4)/((-20)/(-15)) - -2. Let z be 2 + 4 + 0 + -3. List the prime factors of ((z - w) + -1)/((-1)/(-42)). 2, 3, 7 Let q(z) = z**3 + 18*z**2 + 17*z - 17. Let s be (-2928)/192 - 2/(-8). What are the prime factors of q(s)? 13, 31 Suppose 12*l - 3065 = -22805. Let y = l + 2653. What are the prime factors of y? 2, 3, 7 Suppose 6 = -3*d - 21. Let c = -5140 + 5020. What are the prime factors of (-27)/(-18)*c/d? 2, 5 Suppose 2475*p - 570764 - 240436 = 2443*p. What are the prime factors of p? 2, 3, 5, 13 List the prime factors of (537138/(-10))/(-7) - ((-85)/(-25) - 3). 7673 Let r be (0 - 1)/(-11 + 21642/1968). Suppose 2*c - r = -104. What are the prime factors of c? 2, 7 Let z be 6 - -7*(-6)/42. Suppose n = -z*b + 2438, 2*b - 4*b + 989 = 5*n. List the prime factors of b. 487 Suppose 0 = 3*o + 15, 7605 = -4*v - 5*o + 25188. What are the prime factors of v? 2, 31, 71 Suppose -23*q - 460 = -4508. Let t = 567 - q. What are the prime factors of t? 17, 23 Let d(q) = q**2 + 20*q - 8. Let t be d(-21). Suppose t - 5 = 2*m. Suppose m*k - 770 = -2*v, 958 = 5*k + 3*v + v. What are the prime factors of k? 2, 97 What are the prime factors of 379 + 48544 + 2*3 + -1? 2, 11, 139 Suppose -2*r + 22 = 5*i, r = -i + 8 - 3. Suppose -1067 = -3*f + 4*u, -305 = 3*f + i*u - 1380. Suppose -x - f = -4*x. What are the prime factors of x? 7, 17 Let w = 454 - 464. What are the prime factors of 5 - ((-228)/w)/((-39)/1040)? 613 What are the prime factors of (-20496)/((-512)/32) - 2*2? 1277 Let m be (1/(-4))/(3/(-9))*416. Suppose 1011 + m = 21*h. List the prime factors of h. 3, 7 Suppose 49*b - 969411 + 274692 = 863089. List the prime factors of b. 2, 1987 Suppose -2*h + 3179 = c, 4*c - 2*h = 7185 + 5571. List the prime factors of c. 3187 Suppose 0 = 5*a + 5*o - 31230, -16*a + 12496 = -14*a + o. List the prime factors of a. 2, 5 Suppose 97*u - 15*u - 759730 = 0. List the prime factors of u. 5, 17, 109 What are the prime factors of 180/(-810)*(2 - 11484)*45/10? 2, 5741 Let r(f) = 167*f + 40. Let c be r(-12). Let i = c + 3093. What are the prime factors of i? 1129 Let v = -12 - -76. Let d = v + -17. Let o = 42 + d. List the prime factors of o. 89 Suppose 2*v = 5079 + 4469. What are the prime factors of v? 2, 7, 11, 31 Let d(w) = w**3 - 11*w**2 + w - 23. Let y be d(11). Let b(o) = -3*o - 24. What are the prime factors of b(y)? 2, 3 Let o = 45647 + -14391. List the prime factors of o. 2, 3907 Suppose 0 = -4*n - 2*u + 29828, 8*n = 11*n + 4*u - 22371. What are the prime factors of n? 7457 Suppose 5127 + 7053 = 5*n. Suppose 2 = 2*q, 3*l + 2*q - n = -q. What are the prime factors of l? 811 Let n(f) = f**2 + 17*f - 4. Let c be n(-17). Let u(t) = -3*t**2 - 19*t + 5. What are the prime factors of u(c)? 3, 11 Suppose -3*v + 40 = 5*v. Suppose -91 = v*m - 6*m. Let w = m - 5. List the prime factors of w. 2, 43 Let a(z) = -z**2 - 6*z - 5. Let f be (-10)/(-25) + 64/(-10). Let u be a(f). List the prime factors of 88/((-10)/u - 1). 2, 11 Let r(k) = 5*k**2 - 431*k - 789. Let c be r(88). Let i be (-1136)/(-6) - (-2)/3. Suppose 5*t = -2*h + i, 4*h - t - 408 = c*t. List the prime factors of h. 2, 5 Let a(l) be the second derivative of -57*l**5/5 - l**4/12 + l**3/6 + l**2 - 4*l + 25. What are the prime factors of a(-1)? 2, 3, 19 Let g(t) = 93*t - 1183. What are the prime factors of g(105)? 2, 7, 613 Let f(u) = -8*u**3 + 4*u**2 - 12*u + 26. Let h be f(6). Let k = h + 2750. List the prime factors of k. 2, 5, 7 Let d(s) = -s**3 - 2*s**2 + s - 2. Suppose -3*b - 3*i = 8 + 70, 0 = 3*b - 3*i + 96. Let u = b - -24. What are the prime factors of d(u)? 2, 17 Let y = 17 - 17. Suppose 8*g - 24 = -y. Let v = 27 - g. List the prime factors of v.
{ "pile_set_name": "DM Mathematics" }
gest value in u, -2/15, h? -2/15 Let q = -2049/2 + 4103/4. Let t = 2 - 6. Which is the fourth biggest value? (a) t (b) 0.3 (c) 0 (d) q a Let s(t) = -28*t + 192. Let j be s(7). What is the smallest value in -0.1, -2/25, j? j Let r(t) = 7*t - 40. Let h be r(10). Suppose 25*o = h*o - 25. What is the second biggest value in -5, 1, o? 1 Let i be (-6)/(-20) - (-7)/(-98)*7. What is the fourth biggest value in -5, i, -2/5, 1? -5 Let b be 3/(((-46)/(-115))/((-2)/(-35))). Let d = 4.04 + -0.04. Suppose 2*v + 5*n - 3*n = 2, 10 = 2*v - 2*n. What is the biggest value in v, b, d? d Let f = 0.1635 - -2.8365. Let q be ((-2)/(-6))/(3/18). Which is the third smallest value? (a) q (b) f (c) -0.1 (d) 0.3 a Let j = 1304.99 - 1297. Let o = 0.01 + j. Let w = -13 + o. Which is the biggest value? (a) w (b) -0.2 (c) 2 c Let y = 37.39 - -0.61. Let x = -33 + y. Let n be (-106)/(-36) + -1 - 2. Which is the third smallest value? (a) x (b) -0.3 (c) n a Let x be -4 - (0 + 205/(-25)). What is the smallest value in 0.1, x, 3, -2/21? -2/21 Let h = 2/195 + 21/65. What is the second biggest value in h, -0.12, -39? -0.12 Let c = -0.0466 - -1.2466. What is the second smallest value in 1/8, 1/7, -1, c? 1/8 Suppose -x = k, -4*k = -7*x + 4*x - 7. Let i = k + -37. Let y = -34 - i. Which is the smallest value? (a) y (b) 0 (c) 1 b Let q = -5.59 - -5.59. Which is the second smallest value? (a) q (b) 1 (c) -0.301 a Let y(l) = l**2 - 15*l + 11. Let j be y(15). Suppose t + 10 = -5*k, -2*t + j = 1. What is the biggest value in k, 3/7, 5, -0.1? 5 Let n = 982 - 984. Which is the biggest value? (a) -0.5 (b) n (c) 1/3 c Let o = 635/3 + -211. Which is the second smallest value? (a) o (b) -5 (c) -119 b Let r = 688 - 690. What is the smallest value in 4, 1/3, 0.01, r? r Let i = 164 + -164.2. Which is the third biggest value? (a) 0 (b) i (c) -34 (d) 1 b Let v = -43.963 - -44. Let y = -0.537 + v. Let w = 2 - 0. Which is the second biggest value? (a) y (b) w (c) -5 a Let q = -26.26 - -26.24. What is the second smallest value in -5/2, 0, 4, q? q Let q = 0.25 - -27.75. Let x = 32 - q. Which is the second biggest value? (a) 3 (b) x (c) 5/2 (d) -1 a Let z = 18.37 + -19.37. Let l = -25 + 16. What is the second smallest value in l, z, 0.2? z Let p be 91/52*(-4)/56. What is the fourth smallest value in 3, p, -3, 2? 3 Let b = 34.9 + -35. Let y be -2 - -1*(2 + (0 - 2)). Let n be (2 + 0)*(-3)/45. What is the second biggest value in n, b, y? n Let z be 1 - (-1 + (-2)/2). Let g be (-12)/(-9) + -3 - -2. Let n be -1*(-3)/9*0. What is the third smallest value in g, z, n? z Let v be (-65)/78 + (-34)/132. Which is the third smallest value? (a) -1 (b) -2 (c) 2 (d) v a Let d be 37/7 + (-44)/154. Which is the second smallest value? (a) d (b) 10/13 (c) 2/15 b Let q = 924 + -4618/5. Which is the fourth biggest value? (a) q (b) -2/7 (c) 2/7 (d) -56 d Let x = 0.6 - 0.1. Let j = 10 + -8.5. Let d = -1.7 + j. Which is the second smallest value? (a) x (b) 3 (c) d a Suppose -1 = p, -4*f - 27*p - 7 = -32*p. What is the second smallest value in -0.2, 1/52, 0.5, f? -0.2 Suppose 102 = 4*a + 78. What is the smallest value in a, 4/17, -2/7, -0.5? -0.5 Let f = -913 + 917. Let l = -9 - -7. Which is the third biggest value? (a) f (b) -1 (c) 1/8 (d) l b Suppose 4*n - 5*j = -5, -4*n + j = -3*n + 1. Which is the biggest value? (a) n (b) -0.4 (c) 0.5 c Let i = -713 - -713.2. Which is the third smallest value? (a) -3 (b) i (c) -0.3 (d) -2 c Let k be ((-2)/10)/(13/(-195)). Which is the smallest value? (a) 0.035 (b) 2/23 (c) k a Let n = -11/6 + 131/78. Let l = 0.26 - -0.14. Let z = 4.05 + -0.05. What is the third smallest value in z, n, l? z Let u(k) = 6*k + 61. Let i be u(-8). Let v = -147 + 1321/9. Which is the second biggest value? (a) 0 (b) -0.5 (c) i (d) v a Let o = -6.2 - -6.6. What is the third smallest value in -2/25, o, -5? o Let x = -0.3821 - -0.0821. Which is the second smallest value? (a) 2 (b) -3 (c) x (d) -1/109 c Let f = 2 - 3. Let g be (1 + 51/(-6))*16/(-20). Let t be f*(-7)/(21/g). What is the third smallest value in -1/2, t, 1? t Let d = -24 + 25.2. Let g = d - -13.8. Let q = 15.3 - g. What is the biggest value in -0.1, q, 2? 2 Suppose 5*v - 14 = 3*b - 6*b, 0 = 2*v - 8. Let l be (b/(-18))/(3/(-6)). Let q = 1264.8 + -1265. What is the second biggest value in l, q, -0.04? q Let v = 3/20120868584 - -7156278664485815/55352509474584. Let o = v + 1/5502. Let n = -129 + o. Which is the second smallest value? (a) n (b) -2 (c) 5 a Let p = 2.13 - -0.27. Let o = -0.024 + -2.576. Let z = o - p. What is the biggest value in 2, 4/7, z? 2 Let o = -91 - -91. Let u = 1 - 3/4. Which is the smallest value? (a) o (b) u (c) 0.4 a Let l be (-4)/28*-3*(192 + -1). Let x = -82 + l. What is the third biggest value in x, -38, -2? -38 Let u be (-2 - (-40)/25)/((-14)/10). Suppose -10*b + 10 = 20. What is the smallest value in -2/3, b, u? b Let s = 128 - 128.13. Let o = -9.87 + s. Which is the second smallest value? (a) 0.1 (b) -2 (c) o b Let g = 33.1 - 33. Suppose -4*u - 5*s - 41 = 0, 0*u + s = -5*u - 25. What is the smallest value in u, 1.3, g? u Let g = -13.54 - -13.94. Which is the biggest value? (a) 0.1 (b) 5 (c) -8 (d) g b Let o = -59 + 179/3. Let m be (-10)/8 - (-4)/16. What is the third smallest value in o, -2/7, m? o Let s = 523/2 - 262. Which is the fourth biggest value? (a) -1 (b) -0.4 (c) -1/9 (d) s a Let o = -11.9 + 21.5. Let r = o - 10. Which is the third smallest value? (a) -5 (b) 3/7 (c) r b Let l = -13.72 - -10.72. Which is the biggest value? (a) -89 (b) l (c) 0.04 c Let u = -1530 - -1530. Which is the second biggest value? (a) u (b) -25 (c) -0.4 (d) 3/7 a Let c = 7255 + -7258.817. Let m = 0.183 - c. Let o = -5.07 + 0.07. What is the second biggest value in 1, m, o? 1 Let y be (-98)/5 + (-18)/(-30). Suppose 0 = 7*x + 1 + 20. Let g be (3 - (-8)/x)/1. What is the third biggest value in g, 3, y? y Let u = -32 + 29.1. Let b = u + 3. What is the biggest value in -4, b, 5, -0.18? 5 Let s = -3/23 + 113/161. Let k be 21/(-84) + (-17)/(-4). Let u = k - 3. What is the third biggest value in s, -1, u? -1 Let p(h) = -h**3 - 3*h**2 + 7*h + 12. Let x be p(-4). What is the fourth smallest value in x, -4/3, 2/17, -1/6? 2/17 Let r = -0.8 - -0.4. Which is the third smallest value? (a) 2/7 (b) -0.7 (c) -5 (d) r d Suppose 3*t - 257 = -j, -2*t + 167 = j - 6. Which is the biggest value? (a) 5 (b) 0.4 (c) t c Suppose -3*j = -w - w - 59, -2*j = 4*w + 158. Let c = w - -923/25. What is the third smallest value in c, -2, -1, 0.1? c Let r be (-34)/68*(-8)/14. Let z = 1513/12 - 126. Which is the third smallest value? (a) r (b) z (c) 1/5 a Let b = 2/161 - -3/23. Let x = -372422/93 + 4005. Let l = x - 4/31. What is the third smallest value in l, b, 3/4? 3/4 Let k be -16*(-1)/4*2. Suppose k = 3*u - u. What is the smallest value in 0.4, 5/2, u? 0.4 Let w = -0.03 - -2.03. Let o = 386 + -1934/5. Which is the biggest value? (a) -0.1 (b) o (c) w c Let q = 5.73 - -1.27. Which is the second smallest value? (a) 9/2 (b) 4/7 (c) q a Let d(m) = -m**2 - m. Let n be d(-1). Let p(k) = k**2 - k - 1. Suppose -1 = -t + 2*t. Let z be p(t). Which is the second biggest value? (a) 0.5 (b) n (c) z a Let h = -0.4 + 2.4. Let z = -4 - 1. Let m be ((-5)/(-9))/(-17 - (-1926)/108). What is the second biggest value in h, z, m? m Let t = 0.06 - 0.36. Let d = -5923.5 + 5923. What is the third biggest value in d, t, -2/7? d Let z = -238 + 234. Which is the biggest value? (a) z (b) 5 (c) 2/3 (d) -0.3 b Let i be (2*45/(-42))/(-2). Let c = 253/210 - i. Let g = -3.2 + 3. What is the biggest value in g, c, -1? c Let w = 2.6 - -13.4. Let b be (-8)/20*(-5)/(-21). What is the fourth biggest value in -0.2, b, w, -2? -2 Let l(y) = y**2 - 3*y. Let o(f) = f**2 - 5*f + 6. Let m be o(4). Let a be l(m). Let w = 5610/7 + -801. What is the second smallest value in a, -0.7, w? -0.7 Let i = 54 + -50. Let o(z) = -z**2 + 5*z + 4. Let p be o(5). Let g be ((-5)/p)/(-5)*-2. Which is the third smallest value? (a) 2 (b) g (c) i c Let g(y) = y**2 + 70*y - 706. Let i be g(9). Let t be ((-1)/18)/(1/4). Which is the third smallest value? (a) t (b) -5 (c) 0 (d) i c Let p = -0.0067 + -0.9933. What is the
{ "pile_set_name": "DM Mathematics" }
est common divisor of 6315826 and 407. 407 Calculate the highest common divisor of 135 and 4949175. 15 What is the greatest common divisor of 14136 and 54? 6 Calculate the greatest common divisor of 166 and 911. 1 Calculate the highest common factor of 813064 and 21. 7 What is the highest common factor of 120 and 212299960? 40 Calculate the greatest common divisor of 7060019 and 489. 163 Calculate the greatest common factor of 4 and 45690764. 4 Calculate the greatest common factor of 1296854 and 1985506. 3218 What is the greatest common divisor of 1243246 and 7676? 38 Calculate the greatest common divisor of 28302984 and 4392. 72 What is the highest common factor of 2043765 and 540? 135 What is the greatest common factor of 481227299 and 938? 469 What is the highest common divisor of 3144 and 23949944? 1048 Calculate the greatest common factor of 140387998 and 1058. 46 Calculate the greatest common factor of 114 and 8822859. 57 Calculate the greatest common divisor of 43680 and 21835632. 4368 What is the greatest common divisor of 38723919 and 741? 741 What is the greatest common divisor of 2041 and 84032? 13 What is the greatest common factor of 26703 and 1244549? 43 What is the greatest common divisor of 52281 and 1343763? 1413 Calculate the highest common divisor of 952 and 2561713952. 952 What is the greatest common divisor of 21345536 and 2304? 256 Calculate the greatest common divisor of 144579471 and 2523. 87 Calculate the highest common divisor of 3340620 and 774. 18 What is the greatest common divisor of 39 and 5635503? 3 Calculate the highest common factor of 204 and 57184209. 51 Calculate the greatest common divisor of 1092 and 13539396. 156 Calculate the greatest common divisor of 825 and 420765. 15 What is the highest common factor of 64 and 1171658944? 64 Calculate the highest common divisor of 19599 and 92991. 417 What is the greatest common factor of 2700 and 105274? 2 Calculate the greatest common factor of 7203 and 14145369. 147 What is the greatest common divisor of 1519321 and 423007? 2503 What is the greatest common divisor of 56391910 and 270? 10 Calculate the highest common factor of 11123721 and 2926. 133 Calculate the greatest common divisor of 814486398 and 22. 22 What is the greatest common factor of 1141964 and 1988? 284 What is the greatest common factor of 199 and 18287105? 199 What is the highest common divisor of 1149210 and 470? 10 What is the greatest common divisor of 83 and 33493? 1 What is the highest common factor of 177345 and 79155? 45 What is the highest common divisor of 961968 and 1344? 336 Calculate the greatest common factor of 55621216 and 160. 32 What is the highest common divisor of 42731 and 105697? 19 What is the highest common divisor of 9881524 and 3804? 1268 What is the greatest common factor of 2849 and 15927131? 407 What is the greatest common factor of 92650 and 33490? 170 What is the greatest common factor of 33576 and 13368? 24 What is the highest common factor of 1608 and 54324069? 201 What is the highest common factor of 4942 and 5684? 14 Calculate the highest common factor of 8925365 and 267. 89 What is the highest common divisor of 1549598141 and 91? 91 What is the highest common factor of 91102 and 100535198? 8282 Calculate the greatest common factor of 3553965 and 540. 45 What is the highest common factor of 95 and 76681663? 19 What is the highest common divisor of 1649 and 15400691? 17 What is the greatest common factor of 13469170 and 55? 55 Calculate the highest common factor of 8 and 2092973. 1 Calculate the highest common divisor of 5922 and 11805084. 846 What is the greatest common divisor of 907484 and 12? 4 What is the greatest common factor of 60638720 and 3840? 1280 What is the greatest common divisor of 1555532 and 3564? 44 What is the greatest common divisor of 6307 and 88850419? 371 What is the greatest common factor of 861 and 75254844? 861 What is the greatest common divisor of 134572971 and 57616? 3601 Calculate the highest common factor of 780 and 245406915. 195 Calculate the greatest common divisor of 645 and 3700580. 215 Calculate the greatest common divisor of 785109759 and 357. 357 Calculate the highest common factor of 5016268 and 1898. 146 Calculate the highest common factor of 427 and 499956. 61 Calculate the highest common factor of 739662 and 2268. 42 Calculate the greatest common factor of 1784 and 6658780. 892 What is the greatest common factor of 14451795 and 1551? 141 What is the highest common factor of 40110303 and 5905? 1181 What is the greatest common factor of 1858354 and 6828? 1138 Calculate the highest common factor of 118902 and 994707. 399 What is the greatest common factor of 1550462 and 117978? 106 What is the highest common factor of 380 and 4261795? 95 What is the greatest common factor of 14234580 and 1395? 1395 What is the greatest common divisor of 333347330 and 20? 10 Calculate the highest common divisor of 8688 and 10253328. 48 What is the highest common factor of 13722700 and 400? 100 What is the greatest common divisor of 43196 and 588? 4 Calculate the highest common factor of 78 and 5763858. 6 Calculate the greatest common divisor of 102689224 and 1254. 418 Calculate the greatest common divisor of 10106 and 12493. 31 Calculate the highest common factor of 937 and 6834478. 937 What is the highest common divisor of 70174 and 466927? 2699 Calculate the highest common factor of 36 and 42852879. 9 Calculate the highest common factor of 645 and 5162295. 15 Calculate the highest common divisor of 1340 and 2660795. 5 What is the greatest common factor of 17050088 and 176? 88 What is the greatest common factor of 9408847 and 1827? 203 What is the highest common divisor of 16926 and 42620474? 806 What is the highest common divisor of 1728204 and 402? 6 Calculate the greatest common divisor of 69000907 and 28052. 7013 Calculate the highest common factor of 220827 and 4698. 3 Calculate the greatest common factor of 11169 and 188521551. 11169 Calculate the highest common factor of 13 and 6277674. 13 What is the highest common factor of 378948 and 636? 12 What is the greatest common factor of 9443551 and 48773? 323 Calculate the highest common divisor of 25433724 and 39786. 2094 What is the greatest common divisor of 491 and 7498061? 491 What is the greatest common divisor of 89680 and 135809150? 11210 What is the highest common factor of 913 and 14061916? 11 Calculate the greatest common factor of 15353 and 25522591. 1181 What is the greatest common factor of 707484 and 16188? 228 What is the highest common factor of 90 and 205069185? 45 What is the highest common divisor of 386 and 115348187? 193 Calculate the highest common factor of 31344 and 60936. 24 What is the highest common divisor of 243 and 93413277? 27 Calculate the highest common divisor of 304610004 and 72. 36 Calculate the greatest common factor of 9152091 and 1113039. 3933 Calculate the greatest common factor of 157850067 and 63995. 12799 Calculate the greatest common divisor of 572 and 8729028. 44 What is the highest common factor of 4856538 and 108? 6 Calculate the highest common factor of 1296 and 1738908. 324 What is the highest common divisor of 11286 and 80777664? 3762 What is the highest common factor of 150007 and 222937? 143 What is the highest common divisor of 56 and 82604606? 14 Calculate the greatest common divisor of 1482 and 34854170. 494 What is the greatest common factor of 327624949 and 15111? 1679 Calculate the highest common factor of 331861 and 51964. 1181 What is the greatest common factor of 51 and 2265453541? 17 What is the highest common factor of 84559653 and 6? 3 What is the greatest common factor of 335973 and 132? 33 Calculate the highest common factor of 118194 and 138. 6 What is the highest common factor of 350 and 758750? 50 Calculate the highest common divisor of 14 and 265080501. 7 Calculate the highest common factor of 13978100 and 2. 2 Calculate the greatest common divisor of 7124 and 3667248. 52 Calculate the highest common factor of 159120 and 975. 195 What is the greatest common factor of 2569550 and 6120? 170 Calculate the highest common divisor of 27867816 and 4395. 879 Calculate the highest common divisor of 1829 and 20748052. 31 Wh
{ "pile_set_name": "DM Mathematics" }
in -11/2, 0, 4? 0 Which is the nearest to -1/4? (a) -3.5 (b) -1 (c) -4 b What is the nearest to -0.1 in 1/3, 0.1, -12/13, 1/8? 0.1 What is the nearest to 27 in 2, -3/4, 3? 3 What is the nearest to -0.1 in 1, -3/2, 2, 0.029? 0.029 What is the nearest to -0.1 in -2/7, 0.16, -1/7, -3? -1/7 Which is the closest to 0.1? (a) -3 (b) 1/2 (c) -0.2 c What is the closest to 4 in -2/11, -0.4, -1/2? -2/11 Which is the closest to 0.2? (a) -0.3 (b) 1 (c) -0.1 (d) 4 c What is the closest to -2/9 in -4, -0.4, -1.7? -0.4 What is the closest to 0.1 in -2, -5, 4? -2 What is the closest to -1/2 in -4, -11, 0.4, -0.3? -0.3 What is the closest to -1/7 in 0.3, -1, -2/23? -2/23 Which is the closest to -1.5? (a) 39 (b) -4 (c) -3 c What is the nearest to -8 in -57, -1, 5? -1 What is the nearest to -2 in -1/4, 0.2, -1/3, -0.8? -0.8 What is the nearest to 2/3 in 7/5, 3, -5, 2/7? 2/7 What is the closest to 0.1 in -0.1, -361, 0, -1? 0 What is the closest to 1 in -3/8, -1/35, 0.4, 0? 0.4 Which is the nearest to 9? (a) -2/13 (b) -2 (c) 0.2 (d) -1 c Which is the closest to 0? (a) -3 (b) -0.06 (c) 54.7 b Which is the closest to 0? (a) -7 (b) 61 (c) -5 c What is the nearest to 1 in 1/7, 0.4, 43? 0.4 What is the nearest to -1 in 0, -1.2, -6, 6? -1.2 What is the nearest to -1 in -8/7, 1, -4, 2/7? -8/7 What is the nearest to -2 in 0.1, 0.5, 2/21? 2/21 What is the closest to 0.3 in -6, 2, -74? 2 Which is the nearest to -1/2? (a) 0.3 (b) -8 (c) 4 a What is the nearest to 1/3 in 56, 3, -21? 3 Which is the closest to 0.1? (a) -8 (b) 0.05 (c) 2 (d) 0 b Which is the closest to -2/23? (a) -1 (b) -2 (c) 5 (d) 4 a What is the nearest to 5/12 in -1/4, 0, 2/17? 2/17 What is the closest to 5 in 0.3, 1/2, 777? 1/2 Which is the closest to -1? (a) -7/3 (b) -2 (c) 1 (d) -0.2 d Which is the nearest to -0.1? (a) 1 (b) -16 (c) -1 c Which is the closest to -2/7? (a) 17 (b) -23.5 (c) 5 c Which is the closest to 73? (a) 4 (b) -4 (c) -1 a Which is the nearest to 0? (a) -5 (b) -1 (c) 2 b What is the nearest to 32 in -5, -0.2, -2? -0.2 What is the closest to 167 in 1/2, -4, -0.033? 1/2 Which is the nearest to -2/11? (a) 2 (b) 2/11 (c) -1/19 (d) 4/5 c What is the nearest to 0 in -6, -2/3, -0.2, -0.5? -0.2 What is the nearest to 1/4 in 5, -1, 0.28? 0.28 Which is the nearest to -0.1? (a) 15/4 (b) 0 (c) 54 b What is the closest to 0.1 in 3, -4/5, -3/5, -3? -3/5 Which is the closest to 20? (a) 0.4 (b) -0.4 (c) -1/10 (d) -0.03 a Which is the closest to -1/4? (a) 0.4 (b) 2/7 (c) 0.2 (d) 0.08 d Which is the closest to 4? (a) 0.33 (b) -0.5 (c) 0.3 a What is the nearest to 20 in 2/15, -0.3, 3? 3 What is the nearest to 35/17 in -2, -1/2, 5, -1? -1/2 Which is the closest to 0.6? (a) 8 (b) -1/8 (c) 0.03 c Which is the closest to 0? (a) -3 (b) 5 (c) 0.2 (d) -55 c Which is the nearest to 3/2? (a) -4 (b) -2/7 (c) -1 b What is the nearest to -2 in 0.4, 0.2, -2/9, -4? -2/9 Which is the closest to -1? (a) -0.03 (b) 2 (c) 2/3 a Which is the closest to 0.05? (a) -2/3 (b) 1/16 (c) 4 (d) 2 b Which is the nearest to 6? (a) 4/5 (b) -0.4 (c) 267 a Which is the nearest to 0.215? (a) 1 (b) -0.5 (c) -0.04 (d) 1/2 c Which is the nearest to 1? (a) -3.06 (b) 1 (c) 1/2 (d) -0.3 b Which is the nearest to -0.1? (a) -1/11 (b) 1/25 (c) 5 a Which is the nearest to 3/8? (a) 0 (b) -0.5 (c) -89 a Which is the nearest to -2/25? (a) 4 (b) 2 (c) -0.3 c What is the nearest to -3 in 1, -5, 0? -5 Which is the nearest to -5? (a) 0.1 (b) -8 (c) 2 b Which is the closest to 0.1? (a) 5 (b) 1 (c) -2 (d) -1/5 d Which is the nearest to 1? (a) -38 (b) -1 (c) 1 (d) -4 c Which is the closest to -2/9? (a) -0.17 (b) 0.5 (c) -0.4 a Which is the closest to 2? (a) 5 (b) 8/7 (c) 21 b Which is the nearest to 2/9? (a) -2 (b) 2 (c) -0.3 (d) 142 c Which is the nearest to -0.1? (a) -4 (b) -0.2 (c) 1/5 (d) 0.056 b What is the nearest to -1/5 in 5, 2/5, -18? 2/5 Which is the closest to 0.1? (a) 24/7 (b) 0.5 (c) -4/7 b What is the closest to -5 in -4.6, -0.4, -3, -1/2? -4.6 What is the nearest to -6 in -0.29, 2/9, -0.4? -0.4 Which is the nearest to 0? (a) 5 (b) 2 (c) -0.037 (d) -3/7 c Which is the closest to -2? (a) -0.7 (b) -1/2 (c) -32 a Which is the nearest to 1/2? (a) -3 (b) -0.1 (c) 1.9 b Which is the nearest to 85? (a) 5 (b) -0.1 (c) 4 a Which is the closest to 1? (a) -0.1 (b) -2/7 (c) 19 (d) -4 a Which is the nearest to 1? (a) -0.016 (b) -4 (c) 1.1 c Which is the closest to 4? (a) 3/2 (b) 21 (c) 3 c Which is the closest to 0? (a) -1 (b) -1/2 (c) -6 b Which is the nearest to 0.7? (a) -3 (b) -2/3 (c) -5 b Which is the closest to 0.2? (a) -0.1 (b) -2/11 (c) -0.2 (d) 6 a What is the nearest to 0 in -5, -3, -2.2, -0.02? -0.02 Which is the nearest to 1/3? (a) 5 (b) 1 (c) 3 (d) -5/2 b Which is the nearest to 0.1? (a) -5 (b) 0.1 (c) -22 b What is the closest to -83 in -7/9, 5, -0.5? -7/9 What is the nearest to 2 in 9/2, 0, 2/5? 2/5 What is the nearest to 1 in -5, 3, -8, 0.02? 0.02 What is the closest to 0 in -28, 0, -5, -3? 0 What is the closest to 3 in -10, 0, 5, -2/19? 5 Which is the nearest to 2/9? (a) 2/3 (b) 0.4 (c) -7 (d) 2 b What is the nearest to -1/8 in 12, 18, 0.2, 2? 0.2 Which is the nearest to 1? (a) 0.06 (b) -0.3 (c) -5 (d) 1/4 d What is the closest to -0.1 in -3, -9, -0.5? -0.5 Which is the nearest to -1/2? (a) 3 (b) 0 (c) 37 b Which is the closest to -2/9? (a) 0.4 (b) 0.07 (c) 1 b Which is the nearest to 1.4? (a) 0.4 (b) -0.3 (c) -3/4 a Which is the closest to 0.1? (a) 0 (b) 14/5 (c) 0.4 (d) 1 a Which is the closest to -1? (a) 32 (b) 3/5 (c) -0.3 c Which is the closest to -0.1? (a) -1 (b) 0.1 (c) 6/17 b Which is the closest to 2.4? (a) 0.5 (b) -0.07 (c) 4 c Which is the nearest to 1/3? (a) 1 (b) -0.2 (c) 88 b What is the closest to 1 in -3/4, -4, 1/5, 4/5? 4/5 What is the nearest to -0.2 in 0, -5, 5, 0.2? 0 Which is the nearest to 7? (a) 1/34 (b) 2 (c) -0.4 (d) 1 b Which is the nearest to -1/3? (a) 2/5 (b) 0 (c) -0.6 (d) 3 c What is the nearest to 1 in 4, 1/3, -3/5, -3/4? 1/3 Which is the closest to 1/4? (a) -0.1 (b) 1/4 (c) -72 b What is the closest to -2/7 in -2/7, -2, -4? -2/7 Which is the closest to 0.13? (a) 4 (b) -13 (c) -1 c What is the closest to -1/12 in -5, 0.2, 0.5, 1/4? 0.2 Which is the closest to 0.1? (a) -3 (b) 5 (c) 2 (d) 4 c What is the closest to 0 in 3, -5, -0.2, 2? -0.2 What is the nearest to 0.02 in 3, -1, -1/8, 5/2? -1/8 Which is the closest to -0.1? (a) 5/2 (b) 12 (c) -1/2 (d) -2 c Which is the closest to 0.4? (a) -2 (b) 1 (c) 3 b Which is the closest to -3/7? (a) -0.4 (b) 0 (c) -0.03 (d) 2 a What is the nearest to 0 in 1, 0.5, -0.6? 0.5 What is the nearest to -1/3 in -1.93, 0, 0.051? 0 Which is the closest to -19? (a) -2/5 (b) 5 (c) 1 a Which is the nearest to 24? (a) 0 (b) -1 (c) 5 c Which is the nearest to 0.1? (a) 0.2 (b) -43 (c) 1/2 (d) -4 a What is the closest to 2/7 in -0.3, -0.03, 14? -0.03 Which is the closest to -2? (a) -1/4 (b) -1 (c) 74 (d) 4 b What is the closest to 2/11 in -4/9, 4, -2? -4/9 Which is the nearest to 0? (a) 4 (b) -1 (c) 179 b Which is the nearest to 2/5? (a) 2 (b) 0.1 (c) -4 (d) -2/23 b What is the nearest to -1/3 in -3, 6, -1/8? -1/8 Which is the nearest to -7/17? (a) 5 (b) 4 (c) 2 c What is the nearest to 0 in -5/8, 8, -0.5? -0.5 What is the nearest to -2/5 in -2, 2/17, 0.17, -5? 2/17 Which is the nearest to -1/4? (a) -0.5 (b) 2 (c) 4 a Which is the closest to 2? (a) 0.13 (b) 0.1 (c) 1/2 (d) 0.3 c Which is the closest to 3? (a) -1/10 (b) -0.2 (c) 5 (d) 18 c Which is the nearest to 1/3? (a) 2 (b) 5 (c) -0.0436 c Which is the nearest to 3? (a) -490 (b) 2/13 (c) 3/4 c What is the closest to -2/5 in 1, -5, 0.1? 0.1 Which is the closest to 0.3? (a) -1 (b) -5.1 (c) -4 a What is the nearest to 0.1 in 4, -1/2, 7, 8? -1/2 What is the nearest to 16 in -1/4, -0.4, -3, 6? 6 Which is the closest to 0.3? (a) 4/3 (b) 2 (c) 1 (d) -4 c What is the closest to 13 in 0.1, 2/9, -0.5? 2/9 Which is the closest to -0.2? (a) 0.3 (b) -0.122 (c) 0.4 b Which is the closest to 1/5? (a) 1/2 (b) 2 (c) 5 (d) 4 a What is the closest to 0 in 4, 13, -2/9, -
{ "pile_set_name": "DM Mathematics" }
be p(12). Put 3, d, m in descending order. 3, d, m Let l = -65 - -57. Sort l, -1, 3, 4 in decreasing order. 4, 3, -1, l Suppose -2*t = z + z + 16, -4*t + 3 = -3*z. Let q(y) = y**3 + 3*y**2 + 3*y + 2. Let o be q(-2). Suppose 3*i - 2 + 5 = o. Sort i, 5, t. t, i, 5 Let f = 29.9 - 24.94. Let q = f - -0.04. Sort 0.2, 0, q. 0, 0.2, q Let d = 28 - 28.3. Sort 5/6, d, -3/4 in descending order. 5/6, d, -3/4 Let y be ((-4)/8)/((-1)/(-2)). Let i be 1*(-1 + 1 - -4). Sort i, -4, y in descending order. i, y, -4 Let t = 95 + -100. Sort t, 2, 0.13. t, 0.13, 2 Let m be (-460)/110 + (-2)/(-11). Put 3, m, -5 in decreasing order. 3, m, -5 Let m be ((-9)/12)/((-1)/4). Let w = 1 - 2. Sort 4, m, w. w, m, 4 Let g = 3 - 7. Let c = -2 + 3. Suppose 4*z = -l + 1 + c, -5*z + 2 = l. Put z, g, 1 in decreasing order. 1, z, g Suppose -5*l - o + 1 + 0 = 0, 3*l + 2*o = -5. Sort l, -2, 2, -1. -2, -1, l, 2 Let a = 7 + -12. Let x = 4 + a. Sort -5, -2, x in descending order. x, -2, -5 Let a be (-4)/3 - (-2)/(-3). Suppose -4*i = -5*w - 4, i + i = w - 4. Let z = w - -3. Put 2, z, a in decreasing order. 2, z, a Let h = 2.6 + -3. Sort 1/2, 5, h in descending order. 5, 1/2, h Let a be (-1)/(-3) + (-38)/42. Let d be 36/(-8) + 3 + 1. Put a, 2/5, d in ascending order. a, d, 2/5 Suppose -4*b + 8 = -2*m, 2*b = -0*m - m. Sort 3, b, 0 in ascending order. 0, b, 3 Suppose 22 + 14 = -2*u. Let q be (6/(-8))/(u/(-60)). Let h = 10 - 7. Sort -1/6, q, h in descending order. h, -1/6, q Let c = -1.2 + 5.2. Sort c, -1/3, -3. -3, -1/3, c Let a = 8.3 - 4.4. Let h = 4 - a. Suppose -4*l + 7 = -2*w - 3, -4*l - 4*w - 20 = 0. Sort 5, l, h in descending order. 5, h, l Let i = 6 + -10. Sort 1, i, -2. i, -2, 1 Suppose -5*p + 4*p + 6 = 0. Suppose 3*f = p*f - 3. Put f, 3, -2 in increasing order. -2, f, 3 Let x = 22 - 17. Suppose t - x*q = 6*t + 25, 0 = -t + 4*q. Suppose 0 = 2*u + 3*u. Sort -5, t, u in decreasing order. u, t, -5 Let m be 2/((-102)/10 + 1/5). Sort m, -0.4, 1. -0.4, m, 1 Let s(g) = -2*g**2 + 6*g - 9. Let l be s(2). Put 0, 2, l in ascending order. l, 0, 2 Suppose -4*y + 0 = -5*n + 8, -y - 2*n = -11. Let s = 90 + -45. Let a be (-9)/s + 4/(-10). Put 0.1, a, y in descending order. y, 0.1, a Let v be 90/35 - 6/(-14). Sort -4, 4, v in ascending order. -4, v, 4 Let f = -0.2 + 0.1. Let x = 0 - -0.1. Put f, x, 3 in decreasing order. 3, x, f Let m be (0 + 2)/(-2)*-4. Let j(o) = -4*o + 1 + o**2 + 2 - m*o + 2. Let r be j(8). Sort 4, r, -3 in decreasing order. r, 4, -3 Let p be (-82)/4*(1 + 21). Let q be (-4)/22 - p/484. Let u be ((-5)/(-2))/((-3)/6). Put 0, q, u in decreasing order. q, 0, u Let u = -76 + 81. Suppose 4*g + 3*j = -g + 27, -2*g + 4*j + 16 = 0. Suppose -8 = -3*q - 4*z, 3*q = g*q + z - 2. Sort 3, u, q in ascending order. q, 3, u Suppose 4*q = -v - 10, -q + 2 = -5*v - 5*q. Suppose -z = -4*j - v*z - 16, 2*j + 18 = -3*z. Put j, 3, 0.5 in descending order. 3, 0.5, j Let j = -0.3 - -0.3. Put -0.4, j, -1 in descending order. j, -0.4, -1 Suppose 5*d + 17 = 2*m, -4*d = -0*d - 4*m + 16. Let f(k) = -3*k + 4. Let g be f(d). Let j = g + -8. Sort -3, j, 0. -3, 0, j Let t(w) = w**2 - 4*w + 1. Let b be t(4). Sort -0.1, -1/2, b. -1/2, -0.1, b Suppose 0 = 2*l - l + 2. Let m(p) = -p**2 - p - 1. Let f be m(l). Let o = 466 + -463. Sort o, f, -2. f, -2, o Suppose -2*s + 10 = 16. Sort -4, -5, s, 5 in descending order. 5, s, -4, -5 Let j = -6 - -7. Put -5, 2, j in decreasing order. 2, j, -5 Suppose 0 = -3*p + 7*p - 28. Let d(n) = 2*n**2 - 5 + 7*n - n**3 + 8*n**2 - 4*n**2. Let i be d(p). Put i, 5, 4 in descending order. 5, 4, i Suppose -5*n = 5*p - 75, n + 5 = -0*n. Suppose -2*b - 3*b = p. Put b, 4, 3 in increasing order. b, 3, 4 Let j be 0/(3 + 1 + -2). Let n = -18 + 15. Let a(o) = -2*o + 2. Let c be a(3). Sort c, j, n in increasing order. c, n, j Let j(d) = -2*d - 5. Let u be j(-5). Let h(c) = -c**3 + 4*c**2 - 5*c + 2. Let b(z) = 2*z - 1. Let f be b(2). Let q be h(f). Sort 0, u, q. q, 0, u Let m = 6.6 + -1.6. Sort m, 3, -4 in increasing order. -4, 3, m Let k be 2*3/(-12)*-28. Suppose 5*l - 44 = -k. Suppose -4*r - 8 - 1 = -t, 3*r = t - l. Put 0, -5, r in descending order. 0, r, -5 Let f = -4.6 + 5. Let j(o) = -o**3 - 5*o**2 + 4*o - 6. Let t be j(-6). Let m be (t/5)/((-14)/10). Put -3, f, m in decreasing order. f, m, -3 Let f = -2.02 - -0.02. Suppose -3*b + 19 = s, 21 = -s - 0*s + 5*b. Suppose l + x = -0*x + 4, 3*x = 5*l - s. Sort -2/17, f, l in ascending order. f, -2/17, l Let t = -3 + 7. Let u = t + 2. Put 1/5, u, -1 in decreasing order. u, 1/5, -1 Let a(k) = k**2 - 9*k + 16. Let g be a(5). Let z = -3 - -5. Sort z, g, 1 in increasing order. g, 1, z Let b = 20 + -20. Put 2, 4, b in increasing order. b, 2, 4 Let g(f) = -3*f**2 - 7*f + 1. Let x be g(-3). Sort x, -4, 1 in increasing order. x, -4, 1 Suppose 5*q - y - 2*y = 18, 3*q + 2*y - 7 = 0. Suppose 3*r + 1 = -2. Sort q, 5, r in descending order. 5, q, r Let r = 0.04 + 5.96. Let c = -7 - -4. Let u = r + c. Sort -3, u, 2 in ascending order. -3, 2, u Suppose 2*l = 6*g - g + 1, 5*g + 3*l = 14. Let m be (-1784)/(-890)*g + -2. Let q = -1794/3115 + m. Sort q, 2, -3. -3, q, 2 Let w = -13 + 13. Suppose -6*p = -4*r - p - 1, 2*p + 6 = w. Sort -2, r, 2 in descending order. 2, -2, r Let j = 11 - 8. Let m be 4/26*3/j. Put m, -0.5, 2/3 in descending order. 2/3, m, -0.5 Let o = -3 - -6. Suppose -c - 35 = 5*r - 8, -r = -5*c - 5. Let q = r - 0. Sort q, -4, o. q, -4, o Let p = -318 + 9541/30. Let w = 1/10 + p. Put w, 4, -1/2 in increasing order. -1/2, w, 4 Suppose -4*w - 20 = w. Sort 2, 1, w, -17 in increasing order. -17, w, 1, 2 Let w(b) = b + 6. Let u be w(6). Let i be 3/19*8/u. Let x = -29 + 31. Put -0.3, i, x in increasing order. -0.3, i, x Suppose -3*d = 3*x - 2*d + 11, 3*d + 5 = 5*x. Put x, -1, -0.2 in decreasing order. -0.2, -1, x Let q be 108/20 + 4/(-10). Let u = 0 - -0.3. Put q, u, -3 in descending order. q, u, -3 Let i(b) = b + 7. Let y be i(-6). Sort -2, -6, y in descending order. y, -2, -6 Let l be ((-77)/63 - -1) + (-1 - -1). Sort l, -5, 5. -5, l, 5 Suppose 0 = -7*k + 2*k + 3*r - 8, -2*k + 4*r = -8. Put k, 1, -2, 3 in decreasing order. 3, 1, -2, k Let c be (-8)/20 - (-10)/25. Put c, -7, 4 in decreasing order. 4, c, -7 Let k = 3 + 16. Let l = k + -18.7. Sort 4/3, l, -9. -9, l, 4/3 Suppose -5*u + b = -2*u + 1, -2*b - 18 = 4*u. Let f(w) = 2*w**3 + 3*w**2 + 2*w. Let o be f(-2). Let i = -11 - o. Sort i, u, 5. i, u, 5 Let x = 3.6 - 4.1. Sort 2/9, 2/5, 0.1, x in decreasing order. 2/5, 2/9, 0.1, x Let t(m) = m**3 + 10*m**2 + 8*m - 12. Let u be t(-9). Put -2, 1, u in descending order. 1, -2, u Let a(s) = -s + 1. Let f(c) = -c**2 + 3*c - 1. Let n(d) = -a(d) - f(d). Let v be n(3). Sort -5, 2, v in descending order. v, 2, -5 Let m = -1 - 0. Suppose 17 = -5*n + 5*r + 12, 4*n = -5*r + 14. Sort -5, n, m in increasing order. -5, m, n Let j = 0.8 + -3.8. Put j, 2/17, 0 in ascending order. j, 0, 2/17 Suppose 4*z + 4 = -3*k + 6, -k = 4*z - 6. Suppose 2*f + i - z = 0, 0 - 5 = -5*f - i. Sort 0.2, f, 5 in decreasing order. 5, f, 0.2 Let d(m) = -m**2 + 14*m + 39. Let s be d(16). Sort s, -5, -3, -2. -5, -3, -2, s Let g be ((9 - -1) + -4)/2. Put 6, 2, g in increasing order. 2, g, 6 Suppose -5*r + 152 = -4*f + 16, -4*f + 104 = 5*r. Let x be ((-12)/(-50))/(r/80). Sort 1/4, -5, x. -5, 1/4, x Let v = -58 - -57. Sort -2, 0, v, 6 in decreasing order. 6, 0, v, -2 Let y(b) = -b**3 + b**2 + 5. Let l be y(0). Let m(i) = i**3 + 4*i**2 + 5*i + 5. Let w(n) = -n**2 + 7*n - 12. Let c be w(5). Let p be m(c). Sort 4, l, p. p, 4, l Let b(h) = h**2 + 0*h**2 + 3*h + 3 - 7*h. Let s be b(4). Suppose s*n - 2*n = -3. Put 1, 3, n in increasing order. n, 1, 3 Let k = 7 + -6. Sort 4/3, 7, k in descending order. 7, 4/3, k Let t be (2/6)/(6/(-54)). Let x = -228 - -233.05. Let r = x + -0.05. Sort r, t, 5/3 in ascending order. t, 5/3, r Let t = -0.9 + 2.9. Sort 3/2, 2/17, t, 4 in ascending order. 2/17, 3/2, t, 4 Suppose 0*c = 5*c. Let s = -14 + 16. Put -0.5, s, c in decreasing order. s, c, -0.5 Let q = 6.3 - 6. Put -4, 2, q, -0.1 in increasing order. -4, -0.1, q, 2 Suppose -4*v + 8 = -2*q, -24 = -7*v + 5*v - 4*q. Sort 3, v, -3, 5 in descending order. 5, v, 3, -3 Suppose -25*u = -30*u - 10. Sort -11, -4, -1, u. -11, -4, u, -1 Suppose 7*u + 0 = 14. Suppose 4 + 2 = u*h. Sort h, -4, 5 in descending order. 5, h, -4 Suppose -5*d + 12 =
{ "pile_set_name": "DM Mathematics" }
0 Round -1978422018 to the nearest 100000. -1978400000 What is 138.8497942 rounded to 1 decimal place? 138.8 What is 0.1727972755 rounded to 5 decimal places? 0.1728 Round 1632.71651 to the nearest integer. 1633 What is -33.6466292 rounded to 0 decimal places? -34 What is -3521824.682 rounded to the nearest 10000? -3520000 What is -26010.1169 rounded to the nearest 10000? -30000 What is 103421.3733 rounded to the nearest one thousand? 103000 What is 136.36418 rounded to the nearest ten? 140 What is -902497.27 rounded to the nearest 1000? -902000 What is 0.006499492145 rounded to three dps? 0.006 Round -2.6753894 to the nearest integer. -3 What is -3437692180 rounded to the nearest 1000000? -3438000000 What is 8884010035 rounded to the nearest one hundred thousand? 8884000000 What is -6846.08474 rounded to one dp? -6846.1 What is 6051993800 rounded to the nearest 1000000? 6052000000 Round -72633.1023 to the nearest ten. -72630 What is -646868673.4 rounded to the nearest 100000? -646900000 What is -0.0000055117 rounded to 5 decimal places? -0.00001 Round 11053.9903 to the nearest one thousand. 11000 Round -118490.76 to the nearest ten. -118490 Round 50204.06 to the nearest 1000. 50000 Round -1.076702229 to two decimal places. -1.08 Round -2003715640 to the nearest 100000. -2003700000 Round 498660.9615 to the nearest 1000. 499000 What is -2725711760 rounded to the nearest 1000000? -2726000000 What is 0.00000138908053 rounded to 7 dps? 0.0000014 What is 2146506710 rounded to the nearest one million? 2147000000 Round -689.69133 to the nearest one hundred. -700 What is 0.01664755204 rounded to 5 decimal places? 0.01665 Round -0.027097087 to 4 decimal places. -0.0271 What is -197662.973 rounded to the nearest 10? -197660 What is -20664950 rounded to the nearest one hundred thousand? -20700000 What is -0.0579192617 rounded to five dps? -0.05792 What is -32414.70375 rounded to the nearest 10? -32410 Round -3622.4706 to the nearest 10. -3620 What is -237.82286 rounded to the nearest 10? -240 Round 11771.7636 to the nearest 100. 11800 What is -645.3128 rounded to the nearest ten thousand? 0 What is 24.550122 rounded to the nearest 10? 20 What is -32713507.359 rounded to the nearest one million? -33000000 What is -65510711700 rounded to the nearest one million? -65511000000 What is 18785512.5 rounded to the nearest 100000? 18800000 What is 596.879832 rounded to the nearest ten? 600 What is 17101.7583 rounded to the nearest 10? 17100 What is -756288563 rounded to the nearest 10000? -756290000 What is 8668203.9 rounded to the nearest 1000? 8668000 What is -22060117 rounded to the nearest one hundred thousand? -22100000 Round -2768125.04 to the nearest ten thousand. -2770000 Round 20774221.9 to the nearest 1000. 20774000 Round -21.27940397 to three dps. -21.279 Round -162552900 to the nearest one hundred thousand. -162600000 What is -2622322970 rounded to the nearest one million? -2622000000 Round -0.0520063241 to three decimal places. -0.052 What is -192617130 rounded to the nearest 1000000? -193000000 Round 1537.088775 to the nearest one hundred. 1500 Round 14.7563376 to two dps. 14.76 Round -0.419550316 to 4 dps. -0.4196 Round 376928.813 to the nearest 100. 376900 Round 0.000003210172981 to 7 dps. 0.0000032 Round -0.00003951499808 to seven dps. -0.0000395 Round 0.275587099 to 4 decimal places. 0.2756 What is 0.00072029493 rounded to 5 decimal places? 0.00072 What is -0.000177755947 rounded to 6 decimal places? -0.000178 What is 39156.3884 rounded to the nearest ten? 39160 Round 89898.7286 to the nearest 10000. 90000 What is -0.00217107372 rounded to four decimal places? -0.0022 Round -217.45209247 to the nearest 10. -220 Round -230.386862 to 0 decimal places. -230 What is -1330449663 rounded to the nearest 100000? -1330400000 What is 0.004361272202 rounded to 5 dps? 0.00436 Round 1726818.958 to the nearest one hundred. 1726800 What is -15.1204361 rounded to three decimal places? -15.12 What is 0.000892969036 rounded to four decimal places? 0.0009 What is -187.511614 rounded to one dp? -187.5 Round -1645.50159 to the nearest ten. -1650 Round 0.0019325779 to four decimal places. 0.0019 What is 0.0000004199656562 rounded to 7 dps? 0.0000004 Round 0.0045946067 to five dps. 0.00459 Round -0.0002617577131 to 6 dps. -0.000262 What is -0.00015498704 rounded to 6 decimal places? -0.000155 What is 397178.316 rounded to the nearest 10? 397180 Round 920.5185546 to the nearest 10. 920 Round 0.0154070984 to 6 decimal places. 0.015407 Round 2.670478996 to 1 decimal place. 2.7 What is -0.00028762931 rounded to 5 decimal places? -0.00029 Round -486560610 to the nearest 1000000. -487000000 What is -221.9218245 rounded to two dps? -221.92 What is -1181725.937 rounded to the nearest one hundred? -1181700 Round 9382.657 to one decimal place. 9382.7 Round 0.00401669801 to seven dps. 0.0040167 Round -0.0000165008598 to seven dps. -0.0000165 Round -9247464.15 to the nearest 1000000. -9000000 What is 4101.35057 rounded to the nearest one hundred? 4100 What is 211.96065691 rounded to 3 dps? 211.961 What is 0.000061517773 rounded to five dps? 0.00006 What is -5.7022119 rounded to 2 decimal places? -5.7 Round 13411.919 to the nearest 1000. 13000 Round 101222.7277 to the nearest one hundred. 101200 What is 0.021959263 rounded to four decimal places? 0.022 What is 6650523.13 rounded to the nearest one thousand? 6651000 What is 2.042508099 rounded to one decimal place? 2 What is 553737.741 rounded to the nearest one thousand? 554000 Round -401166035 to the nearest 100000. -401200000 What is -0.01562852 rounded to three dps? -0.016 Round 3.660667883 to one dp. 3.7 What is 0.72713302 rounded to 1 dp? 0.7 What is -79.6719418 rounded to three dps? -79.672 Round -41034.638 to the nearest 100. -41000 Round 2658764.653 to the nearest ten thousand. 2660000 Round -0.4831053415 to 2 dps. -0.48 What is 73401.6582 rounded to zero dps? 73402 What is -0.7651383632 rounded to two decimal places? -0.77 What is 0.00000089760759 rounded to 7 decimal places? 0.0000009 What is 0.0052103838 rounded to four dps? 0.0052 What is 0.000000495468269 rounded to 7 decimal places? 0.0000005 What is -2681.3105 rounded to the nearest one hundred? -2700 What is 336993.5623 rounded to the nearest 10000? 340000 What is 1344717.4893 rounded to the nearest 100? 1344700 What is 0.0003932529332 rounded to four decimal places? 0.0004 What is -116297.074 rounded to the nearest 100? -116300 What is 2.829237423 rounded to one dp? 2.8 Round 1.738717 to the nearest integer. 2 Round 456672.9 to the nearest 10000. 460000 Round 4713296.8 to the nearest one hundred thousand. 4700000 What is 2142594 rounded to the nearest one hundred thousand? 2100000 Round -0.00000321084503 to seven dps. -0.0000032 Round 1.33310021 to 2 dps. 1.33 Round -0.00000134261527 to 7 decimal places. -0.0000013 What is 0.0002698928574 rounded to seven dps? 0.0002699 What is -0.000521094275 rounded to four dps? -0.0005 What is -114877.237 rounded to the nearest ten thousand? -110000 What is 95.4540702 rounded to one dp? 95.5 Round -66551.378 to the nearest 100. -66600 What is -0.00002548616 rounded to 6 dps? -0.000025 Round 193508302 to the nearest one million. 194000000 Round -58995.754 to the nearest ten. -59000 What is -15233826 rounded to the nearest one hundred thousand? -15200000 Round 0.028835166 to six decimal places. 0.028835 What is 31.4304945 rounded to 0 dps? 31 Round -141484.44152 to the nearest one thousand. -141000 Round -0.0007837528 to 4 decimal places. -0.0008 Round 17592.1203 to the nearest 10. 17590 What is -0.4157853703 rounded to three decimal places? -0.416 Round -3742769415 to the nearest one million. -3743000000 What is -0.00027118861 rounded to five decimal places? -0.00027 Round -2734636.5 to the nearest 10000. -2730000 What is 5439656 rounded to the nearest 100000? 5400000 Round 0.00113743136 to 6 dps. 0.001137 Round -0.36369988 to 3 dps. -0.364 What is 207511.806 rounded to the nearest ten? 207510 Round -0.000000458235381 to seven decimal places. -0.0000005 What is 6870.958874 rounded to 1 dp? 6871 Round -0.0000007624079186 to seven dps. -0.0000008 What is 76712.35555 rounded to the nearest ten? 76710 What is -0.00003334177457
{ "pile_set_name": "DM Mathematics" }
- 822)**2/9 Find q, given that 4*q**2/9 - 50*q/3 - 26 = 0. -3/2, 39 Factor -4*p**2 + 16. -4*(p - 2)*(p + 2) Factor 4*g**4 - 192*g**3 - 4*g**2 + 192*g. 4*g*(g - 48)*(g - 1)*(g + 1) Solve 6482*h**3 - 12968*h**2 + 6490*h - 4 = 0. 2/3241, 1 Suppose -3*r**5 - 69*r**4 - 246*r**3 - 354*r**2 - 231*r - 57 = 0. What is r? -19, -1 Solve 4*x**3 + 84*x**2 + 224*x + 144 = 0 for x. -18, -2, -1 Find r, given that -2*r**5/11 - 2*r**4 - 80*r**3/11 - 96*r**2/11 = 0. -4, -3, 0 Factor -2*d**3 - 54*d**2 - 100*d. -2*d*(d + 2)*(d + 25) Factor -3*z**2/4 - 669*z/2 + 1350. -3*(z - 4)*(z + 450)/4 Suppose 50*r**2 + 45*r - 5 = 0. What is r? -1, 1/10 Factor -i**2/2 - 51*i + 324. -(i - 6)*(i + 108)/2 Factor -4*n**2 + 148*n + 312. -4*(n - 39)*(n + 2) Suppose -5*w**5 + 160*w**4 + 525*w**3 = 0. What is w? -3, 0, 35 Let -b**5/6 + 11*b**4/6 - 20*b**3/3 + 8*b**2 = 0. Calculate b. 0, 3, 4 Factor -4*s**3 - 1524*s**2 - 193548*s - 8193532. -4*(s + 127)**3 Solve -15*x**5/7 + 43*x**4/7 - 24*x**3/7 - 4*x**2/7 = 0 for x. -2/15, 0, 1, 2 Factor 2*a**5/5 - 2*a**4 + 12*a**3/5 + 8*a**2/5 - 16*a/5. 2*a*(a - 2)**3*(a + 1)/5 Factor -8541*c**2/2 - 8547*c/2 - 3. -3*(c + 1)*(2847*c + 2)/2 Suppose 8*j**3 + 30*j**2 + 24*j - 8 = 0. Calculate j. -2, 1/4 Factor -4*n**2 - 40*n + 1836. -4*(n - 17)*(n + 27) Factor 5*h**2 - 68*h + 224. (h - 8)*(5*h - 28) Let 2*a**2/7 + 22*a/7 + 20/7 = 0. Calculate a. -10, -1 Let 5*l**2 + 400*l - 405 = 0. Calculate l. -81, 1 Suppose 20*a**4 - 104*a**3 + 4*a**2 + 80*a = 0. Calculate a. -4/5, 0, 1, 5 Factor 3*z**3 + 57*z**2 + 105*z + 51. 3*(z + 1)**2*(z + 17) Factor -5*h**4 - 570*h**3 - 17865*h**2 - 92340*h - 131220. -5*(h + 3)**2*(h + 54)**2 Factor -2*t**3/7 + 58*t**2/7 - 240*t/7. -2*t*(t - 24)*(t - 5)/7 Solve -490*r**4 - 1456*r**3 - 7088*r**2/5 - 2496*r/5 - 288/5 = 0. -6/5, -2/7 Determine m so that -4*m**2 - 180*m + 376 = 0. -47, 2 Factor -5*y**3 - 300*y**2 + 305*y. -5*y*(y - 1)*(y + 61) Factor -5*q**2 - 8710*q - 3793205. -5*(q + 871)**2 Factor 3*v**5 - 24*v**4 - 30*v**3 + 24*v**2 + 27*v. 3*v*(v - 9)*(v - 1)*(v + 1)**2 Find t, given that 2*t**2/21 - 34*t/7 = 0. 0, 51 Factor 12*p**4 + 386*p**3 + 3136*p**2 + 512*p. 2*p*(p + 16)**2*(6*p + 1) Solve x**4 + 7*x**3 - 30*x**2 = 0. -10, 0, 3 Factor 15*s**3/2 - 163*s**2/2 + 66*s - 10. (s - 10)*(3*s - 2)*(5*s - 1)/2 Factor 2*i**2 + 8*i + 8. 2*(i + 2)**2 Solve -3*w**2 + 84*w - 588 = 0 for w. 14 Factor 4*o**3/7 - 20*o**2 + 732*o/7 - 1044/7. 4*(o - 29)*(o - 3)**2/7 Solve 4*q**5 - 8*q**4 - 144*q**3 + 8*q**2 + 140*q = 0 for q. -5, -1, 0, 1, 7 Factor 12*d**3 + 64*d**2 + 68*d + 16. 4*(d + 1)*(d + 4)*(3*d + 1) Factor 5*y**4 - 30*y**3 + 60*y**2 - 50*y + 15. 5*(y - 3)*(y - 1)**3 What is h in -4107*h**3/5 + 8658*h**2/5 - 180*h + 24/5 = 0? 2/37, 2 Factor -l**4/7 - 23*l**3/7 - 144*l**2/7 - 36*l. -l*(l + 3)*(l + 6)*(l + 14)/7 Factor 10*c**2 - 5256*c - 5266. 2*(c + 1)*(5*c - 2633) Solve g**3/6 - 26*g**2 + 1352*g - 70304/3 = 0. 52 Solve -3*f**3 - 36*f**2 + 45*f + 78 = 0 for f. -13, -1, 2 Solve -4*k**4/5 + 467*k**3/5 - 1671*k**2/5 - 2707*k/5 - 113 = 0 for k. -1, -1/4, 5, 113 Let 2*l**3 + 52*l**2 + 418*l + 968 = 0. Calculate l. -11, -4 Factor 2*s**3/7 - 184*s**2/7 + 3322*s/7 - 2420. 2*(s - 70)*(s - 11)**2/7 Factor 2*g**5 - 138*g**4 + 564*g**3 + 59276*g**2 + 533610*g + 1389150. 2*(g - 45)**2*(g + 7)**3 Let -w**3 - 98*w**2 + 301*w - 202 = 0. Calculate w. -101, 1, 2 Suppose v**2/2 - 4*v - 9/2 = 0. What is v? -1, 9 Factor -5*x**4 - 25*x**3 + 140*x**2 + 160*x. -5*x*(x - 4)*(x + 1)*(x + 8) What is q in -54*q**5 - 153*q**4 + 84*q**3 + 171*q**2 - 12*q - 36 = 0? -3, -2/3, 1/2, 1 Solve -2*j**3/23 - 114*j**2/23 - 1680*j/23 - 1568/23 = 0. -28, -1 Factor -a**4/6 - 767*a**3 - 5299201*a**2/6 - 1764100*a - 2645000/3. -(a + 1)**2*(a + 2300)**2/6 Factor r**4/6 - 31*r**3/6 + 37*r**2 + 160*r/3 - 256/3. (r - 16)**2*(r - 1)*(r + 2)/6 Factor -t**5/3 + 49*t**4/3 + 298*t**3 + 4108*t**2/3 + 7352*t/3 + 1536. -(t - 64)*(t + 2)**3*(t + 9)/3 What is u in -4*u**5/3 + 14936*u**4/3 - 13942756*u**3/3 = 0? 0, 1867 Factor 8*g**3 + 228*g**2 + 1680*g + 784. 4*(g + 14)**2*(2*g + 1) Find r, given that 5*r**2 - 600*r - 1845 = 0. -3, 123 Determine v so that -v**5/5 + 7*v**4/5 + v**3 - 71*v**2/5 - 8*v + 20 = 0. -2, 1, 5 Solve -236*v**2 - 3296*v + 112 = 0. -14, 2/59 Determine b, given that b**2/5 + 58*b + 4205 = 0. -145 Factor 2*j**2 + 382*j. 2*j*(j + 191) What is f in 21*f**3 + 90*f**2 - 648*f - 192 = 0? -8, -2/7, 4 Factor -4*s**4 + 12052*s**3 - 9072140*s**2 - 9084196*s. -4*s*(s - 1507)**2*(s + 1) Determine x so that 5*x**3 + 70*x**2 - 75*x = 0. -15, 0, 1 Find o, given that 2*o**4 + 636*o**3/5 + 10294*o**2/5 + 1140*o - 3968/5 = 0. -32, -31, -1, 2/5 Let 6*v**5/11 - 48*v**4/11 - 54*v**3/11 = 0. What is v? -1, 0, 9 Factor -2*b**4 + 572*b**3 - 52272*b**2 + 1293732*b + 21346578. -2*(b - 99)**3*(b + 11) Find q such that 5*q**4 + 1295*q**3 + 83200*q**2 - 84500*q = 0. -130, 0, 1 Find l such that l**4/2 + 2*l**3 - 73*l**2/2 + 28*l + 66 = 0. -11, -1, 2, 6 Suppose -2*u**3/5 - 92*u**2/5 + 2*u/5 + 92/5 = 0. What is u? -46, -1, 1 Suppose 2*o**4/13 + 38*o**3/13 + 198*o**2/13 + 378*o/13 + 216/13 = 0. Calculate o. -12, -3, -1 Determine w, given that 2*w**3/7 + 18*w**2 + 2592*w/7 + 17496/7 = 0. -27, -18 Let -2*r**5/3 + 4*r**4/3 + 12*r**3 - 16*r**2/3 - 82*r/3 + 20 = 0. Calculate r. -3, -2, 1, 5 Factor -b**3/7 - b**2/7. -b**2*(b + 1)/7 Factor -7*u**4 + 30*u**3 - 43*u**2 + 24*u - 4. -(u - 2)*(u - 1)**2*(7*u - 2) Suppose 3*u**3 + 3*u**2 - 18*u = 0. Calculate u. -3, 0, 2 Let 3*i**3/2 - 12*i**2 - 69*i/2 + 45 = 0. What is i? -3, 1, 10 Determine v so that -3*v**3/5 - 33*v**2/5 - 96*v/5 - 84/5 = 0. -7, -2 Factor -10*h**4/17 + 112*h**3 - 760*h**2/17. -2*h**2*(h - 190)*(5*h - 2)/17 Let -6*p**2/11 + 482*p/11 + 324/11 = 0. Calculate p. -2/3, 81 Factor 2*x**3/15 - 338*x**2/15 + 4466*x/5 + 5046. 2*(x - 87)**2*(x + 5)/15 Factor 4*b**3/3 + 12*b**2 + 32*b/3. 4*b*(b + 1)*(b + 8)/3 Determine c so that 4*c**2 - 10208*c + 10204 = 0. 1, 2551 Let -2*x**4/11 + 14*x**3/11 + 216*x**2/11 - 248*x/11 - 448/11 = 0. What is x? -8, -1, 2, 14 Suppose -2*y**2 + 5*y/3 + 1/3 = 0. What is y? -1/6, 1 Suppose -3*d**4 - 24*d**3 - 9*d**2 + 96*d + 84 = 0. Calculate d. -7, -2, -1, 2 Solve -u**2/4 - 125*u - 15625 = 0 for u. -250 Factor -4*q**2 - 44*q - 120. -4*(q + 5)*(q + 6) Factor 6*n**3 + 37*n**2 - 98*n. n*(n - 2)*(6*n + 49) Solve l**2 - 108*l + 212 = 0. 2, 106 What is a in -6*a**4 - 231*a**3 + 156*a**2 + 1539*a + 702 = 0? -39, -2, -1/2, 3 Factor -3*g**2 - 54*g - 96. -3*(g + 2)*(g + 16) Find j, given that -18*j**3 - 284*j**2 + 4114*j - 900 = 0. -25, 2/9, 9 Find x, given that x**5/8 - x**4 - x**3/8 + x**2 = 0. -1, 0, 1, 8 Find c such that 2*c**4 + 82*c**3 - 32*c**2 - 1312*c = 0. -41, -4, 0, 4 Solve -3*f**2 + 2754*f - 632043 = 0. 459 Find v such that 3*v**3 + 736*v**2 + 977*v + 244 = 0. -244, -1, -1/3 Let -x**5/3 - 34*x**4/9 + 3*x**3 + 34*x**2/9 - 8*x/3 = 0. Calculate x. -12, -1, 0, 2/3, 1 Find f such that 2*f**2/3 + 4*f + 16/3 = 0. -4, -2 Find a such that -2*a**2 + 66*a + 140 = 0. -2, 35 Factor -5*n**4 - 25*n**3 + 160*n**2 - 180*n. -5*n*(n - 2)**2*(n + 9) Factor 16*l**2 - 12*l - 4. 4*(l - 1)*(4*l + 1) Suppose l**5/6 - 6*l**4 + 23*l**3/2 - 17*l**2/3 = 0. What is l? 0, 1, 34 Suppose -3*p**4/7 - 75*p**3 + 528*p**2/7 = 0. What is p? -176, 0, 1 Factor -j**2/9 + 68*j/9 + 71/3. -(j - 71)*(j + 3)/9 Factor -5*l**2 - 90*l + 95. -5*(l - 1)*(l + 19) Factor 162*k**5 + 17892*k**4 + 497978*k**3 + 218680*k**2 + 24200*k. 2*k*(k + 55)**2*(9*k + 2)**2 Solve t**2/12 + 3*t/2 + 17/12 = 0. -17, -1 Solve -2*j**4/11 - 78*j**3/11 - 122*j**2/11 + 942*j/11 - 740/11 = 0. -37, -5, 1, 2 Let -3*p**2/2 + 3201*p + 6408 = 0. Calculate p. -2, 2136 Determine f, given that f**4 - 14*f**3 - 73*f**2 + 14*f + 72 = 0. -4, -1, 1, 18 Determine l so that -5*l**5 - 15*l**4 + 10*l**3 + 30*l**2 - 5*l - 15 = 0. -3, -1, 1 Factor 5*v**4 + 165*v**3 - 180*v**2 - 340*v. 5*v*(v - 2)*(v + 1)*(v + 34) Solve 2*b**3/11 + 8*b**2/11 - 104*b/11 + 160/11 = 0 for b. -10, 2, 4 Solve -40*w**5/3 + 9*w**4/2 + 161*w**3/3 - 18*w**2 - 4*w/3 = 0 for w. -2, -1/16, 0, 2/5, 2 Find g, given that -4*g**2/3 - 16*g/3 + 20/3 = 0. -5, 1 Solve s**2/6 + 188*s/3 - 377/6 = 0. -377, 1 Find o, given that -2*o**3/5 - 12*o**2/5 + 32*o/5 = 0. -8, 0, 2 Solve -8*t**2 - 100*t - 132 = 0 for t. -11, -3/2 Factor -49*g**4 - 322*g**3 - 613*g**2 -
{ "pile_set_name": "DM Mathematics" }
e ccv when three letters picked without replacement from vvvvvccvcv? 7/120 Three letters picked without replacement from {p: 1, h: 1, o: 1, w: 1, r: 2, c: 1}. Give prob of sequence hpc. 1/210 Two letters picked without replacement from rruuqqrr. What is prob of sequence ur? 1/7 Three letters picked without replacement from {g: 4, o: 7, v: 3}. Give prob of sequence gvv. 1/91 Two letters picked without replacement from {q: 6, m: 4, a: 1, y: 2, u: 4}. Give prob of sequence aq. 3/136 Three letters picked without replacement from qqdhqbhpqbbhdppd. What is prob of sequence bdd? 3/560 What is prob of sequence ng when two letters picked without replacement from {a: 7, r: 2, g: 1, n: 1, s: 4, q: 4}? 1/342 What is prob of sequence eepd when four letters picked without replacement from {w: 1, p: 2, r: 1, d: 1, e: 2}? 1/210 Two letters picked without replacement from nnntzatznzzzntz. What is prob of sequence zn? 1/7 What is prob of sequence eq when two letters picked without replacement from {e: 5, q: 5, a: 4}? 25/182 Two letters picked without replacement from {b: 1, x: 3, c: 3}. Give prob of sequence bx. 1/14 Two letters picked without replacement from {k: 1, j: 3, a: 5}. What is prob of sequence ak? 5/72 What is prob of sequence lym when three letters picked without replacement from {m: 1, l: 1, w: 1, u: 1, y: 2, p: 2}? 1/168 What is prob of sequence cnlc when four letters picked without replacement from {p: 1, c: 5, o: 1, l: 6, n: 2}? 2/273 What is prob of sequence jzlz when four letters picked without replacement from {l: 2, z: 2, j: 1, h: 1, c: 1, a: 1}? 1/420 Four letters picked without replacement from {b: 2, v: 1, f: 1, o: 2}. Give prob of sequence fboo. 1/90 What is prob of sequence owk when three letters picked without replacement from {k: 1, o: 1, w: 6, e: 9}? 1/680 Four letters picked without replacement from {q: 4, f: 3, r: 2, a: 2, z: 6}. What is prob of sequence rqqz? 3/1190 Two letters picked without replacement from {z: 6, a: 11, s: 1}. What is prob of sequence zz? 5/51 Three letters picked without replacement from {n: 9, r: 11}. Give prob of sequence nrr. 11/76 Two letters picked without replacement from {p: 1, d: 1, u: 1, g: 2}. What is prob of sequence gu? 1/10 What is prob of sequence att when three letters picked without replacement from aaaaaatataaaataaaata? 8/285 What is prob of sequence zid when three letters picked without replacement from mzdiiz? 1/30 Calculate prob of sequence vy when two letters picked without replacement from pvpvppppyvvppvpppp. 5/306 Two letters picked without replacement from {e: 2, t: 1, s: 3, v: 1, f: 3}. Give prob of sequence fs. 1/10 Two letters picked without replacement from jjnejnjjnjn. Give prob of sequence nj. 12/55 What is prob of sequence hh when two letters picked without replacement from nhhh? 1/2 What is prob of sequence gbng when four letters picked without replacement from nngbgggnbgggbngngngb? 6/323 Two letters picked without replacement from msskkksm. What is prob of sequence km? 3/28 What is prob of sequence umum when four letters picked without replacement from umuuummuuuu? 7/165 Four letters picked without replacement from ubbbbyybbuuubbbu. What is prob of sequence uyuu? 1/364 Two letters picked without replacement from {f: 18, l: 2}. Give prob of sequence fl. 9/95 Two letters picked without replacement from {l: 7, f: 3}. What is prob of sequence ff? 1/15 Calculate prob of sequence ee when two letters picked without replacement from {w: 5, e: 9}. 36/91 What is prob of sequence qqg when three letters picked without replacement from {q: 8, g: 2}? 7/45 Three letters picked without replacement from {r: 2, b: 1, e: 6, a: 2}. What is prob of sequence bra? 2/495 Two letters picked without replacement from xlclxaet. Give prob of sequence ll. 1/28 What is prob of sequence kwkw when four letters picked without replacement from {k: 2, w: 7}? 1/36 What is prob of sequence fnh when three letters picked without replacement from {g: 6, f: 5, n: 1, h: 3}? 1/182 Calculate prob of sequence du when two letters picked without replacement from cdciiuidiiicu. 1/39 What is prob of sequence uhq when three letters picked without replacement from zuvhvsqz? 1/336 Calculate prob of sequence qm when two letters picked without replacement from xmnnnmnqnnnmnnmxmq. 5/153 What is prob of sequence saa when three letters picked without replacement from ssagqgaggsasggggaqa? 40/2907 What is prob of sequence ill when three letters picked without replacement from {o: 9, i: 1, l: 10}? 1/76 Two letters picked without replacement from {c: 2, i: 2}. What is prob of sequence cc? 1/6 Two letters picked without replacement from {o: 2, b: 1, n: 3, k: 1, e: 3}. Give prob of sequence oe. 1/15 What is prob of sequence ptp when three letters picked without replacement from utbutubtbbbebttpp? 1/408 Four letters picked without replacement from dnfndxdxddnd. What is prob of sequence xxfd? 1/990 Calculate prob of sequence jrrr when four letters picked without replacement from {v: 4, r: 4, j: 2}. 1/105 Calculate prob of sequence cv when two letters picked without replacement from {c: 9, v: 2}. 9/55 Three letters picked without replacement from {s: 3, q: 17}. What is prob of sequence qss? 17/1140 Three letters picked without replacement from jjukukkkjjkgukjuuj. Give prob of sequence gkk. 5/816 Calculate prob of sequence yiy when three letters picked without replacement from ttoyyi. 1/60 Two letters picked without replacement from {r: 1, s: 1, f: 1, a: 2}. What is prob of sequence af? 1/10 Calculate prob of sequence lu when two letters picked without replacement from nuncnsuncjslcc. 1/91 What is prob of sequence bi when two letters picked without replacement from chccbicb? 1/28 Calculate prob of sequence lpl when three letters picked without replacement from {l: 3, p: 6, t: 2, j: 1, e: 2}. 3/182 Four letters picked without replacement from {x: 4, n: 2}. What is prob of sequence xnxn? 1/15 What is prob of sequence bbw when three letters picked without replacement from bbbbwwwb? 5/28 Calculate prob of sequence oj when two letters picked without replacement from woajm. 1/20 What is prob of sequence io when two letters picked without replacement from ino? 1/6 Calculate prob of sequence crrr when four letters picked without replacement from ccrcrrr. 3/35 Two letters picked without replacement from lmxl. What is prob of sequence ll? 1/6 Two letters picked without replacement from {s: 3, v: 3, e: 2, o: 1, c: 7, r: 2}. Give prob of sequence oc. 7/306 Two letters picked without replacement from {t: 2, x: 3, i: 1, z: 3, o: 5, v: 1}. Give prob of sequence ov. 1/42 What is prob of sequence fexs when four letters picked without replacement from effxssaflfasaf? 5/8008 Three letters picked without replacement from {b: 1, y: 1, h: 1, d: 1, r: 2, t: 1}. What is prob of sequence rhy? 1/105 Calculate prob of sequence qhn when three letters picked without replacement from fhhqfffnqhqf. 3/440 Four letters picked without replacement from lppjplplpq. Give prob of sequence lqlj. 1/840 Calculate prob of sequence aa when two letters picked without replacement from {t: 17, a: 2}. 1/171 Calculate prob of sequence ve when two letters picked without replacement from {f: 1, v: 1, e: 1, l: 2, m: 5}. 1/90 What is prob of sequence nhhn when four letters picked without replacement from pcppccnphh? 0 Four letters picked without replacement from {o: 9}. What is prob of sequence oooo? 1 What is prob of sequence tss when three letters picked without replacement from fnnffvcnsfssft? 1/364 Calculate prob of sequence nwq when three letters picked without replacement from {n: 2, w: 1, y: 6, q: 2, a: 3, t: 4}. 1/1224 What is prob of sequence vq when two letters picked without replacement from {r: 4, v: 1, b: 3, q: 5, x: 1}? 5/182 Three letters picked without replacement from yagyayqnqya. What is prob of sequence gyq? 4/495 Three letters picked without replacement from tcktcpkpk. Give prob of sequence tpc. 1/63 What is prob of sequence wyw when three letters picked without replacement from {y: 1, w: 2, k: 2}? 1/30 Two letters picked without replacement from {s: 4, p: 3, g: 5}. Give prob of sequence gg. 5/33 Three letters picked without replacement from {y: 5, w: 4, a: 1}. Give prob
{ "pile_set_name": "DM Mathematics" }
r: r or -28? -28 Let b = 0.1 - 0.2. Suppose -3 = -t - 2. Which is smaller: b or t? b Let z = 12 + -13. Let w be ((-24)/33)/(-4)*1. Which is bigger: z or w? w Let v(d) = -12*d + 4. Let c(f) = 3*f - 1. Let r(o) = 9*c(o) + 2*v(o). Let k be r(-3). Is -10 at most k? True Suppose -47*q + 42*q - 15 = 0. Do q and -3 have different values? False Let p be 8/6 + 1/(-3). Are p and -2/31 non-equal? True Let v(z) = -z**2 - 4*z + 6. Let s be v(-5). Let q = 1 + s. Let u be -1*(0 + q/(-1)). Is 1 <= u? True Suppose -5*a - 58 - 492 = 0. Let g be a/56 + 4/16. Which is bigger: g or -3? g Let l be (6/(-12) - (-1)/3)*43. Which is smaller: l or -6? l Suppose 2*i + 4*u = -1816, -3*u - 2739 = 3*i - 0*u. Let j = i - -8270/9. Which is smaller: j or 2? j Suppose s + 6 = 2*x - 0, s + 4 = 0. Let j be -2 - (2130/(-212))/5. Let r = 28/159 - j. Which is bigger: x or r? x Let g(w) = w**3 - 2*w**2 + w. Let a(u) = 3*u**3 - 3*u**2 + 3*u. Let y(l) = -2*a(l) + 5*g(l). Let f be y(-4). Suppose 0 = -f*t + 5*t. Which is greater: t or 1? 1 Suppose 15 = -6*v + 3*v. Let s be 0 + 1 + v + 1. Are s and -3 equal? True Let l = 1/14 + -33/70. Let r(j) = j**3 - j - 1. Let g be r(0). Is l < g? False Let k(c) = 2 - c - 2*c + 2*c**2 - c**2. Let q be k(4). Suppose -2*f + q*f = 24. Is f <= 5? False Let i be 35/15*2/7. Let y be 0 + 1 - (-8 - -1). Let p(k) = -k**3 + 8*k**2 - k + 8. Let v be p(y). Is v < i? True Let h(l) = -l**3 + 4*l**2 - l + 8. Let n be h(6). Let q be 6/(-9) - n/(-12). Let r = 7 + q. Which is smaller: r or 0? 0 Let g(z) = z**2 - 5*z + 2. Let a be g(5). Let u = a + -3. Which is bigger: -4/3 or u? u Suppose -3*o = -o - 10, 3*m = 4*o - 23. Which is smaller: m or -7? -7 Suppose -5*n - 2 = 3*z, 9*n - 6*n + 2*z = -1. Is -7/19 equal to n? False Let w = 10 + -7. Let c = -7 + 5. Let y = c - -5. Are y and w equal? True Let c = -24 + 20. Are c and -0.1 unequal? True Let t = 7.6 - 8. Which is smaller: -2 or t? -2 Let m be (-4)/(-6)*1/(-3). Let i be 1/(-1)*(-4)/2. Suppose -2*g - i = -5*u, 3*u = -2*u. Is m equal to g? False Let c = -12.3 - -13. Let n = 0.3 + c. Is 0 > n? False Suppose 0*n - 2 = -2*n. Suppose -1 = 5*o + 3*b, -3*b + 2*b + 3 = 5*o. Is o smaller than n? False Let m = -8 - -3. Let i = m - -13. Is i != 8? False Let t = 1 + -31/33. Let b be 1*2*(-9)/66. Let z = t - b. Is z > -1? True Let o = -1 - 0. Do o and 1/3 have different values? True Suppose 0 = b - 2*b + 4. Suppose 9*l - 4*l = -5*s - 90, b*s + l = -60. Which is greater: -15 or s? s Let w = 5/191 - 29233/382. Let i = w - -78. Which is greater: 0.1 or i? i Let b be 3/6*(6 - 6). Which is bigger: b or -4/9? b Suppose 3*u + 0*u = 0. Suppose -2*b - 3*l = b, u = -b - 4*l. Which is greater: 1 or b? 1 Let s be 3 + (16 + -18 - (-8)/(-10)). Suppose 1 = 3*k - 2. Which is smaller: s or k? s Let q be ((-2)/8 - -1)*-1. Which is bigger: -2 or q? q Let i be (-18)/20 + 6/12. Is i < 3/4? True Suppose -76 - 428 = 2*r. Let z = -52 + r. Let b = z - -1223/4. Is 1 greater than b? False Let m(y) = -y**3 + 6*y**2 + 17*y + 7. Let n be m(8). Suppose -5*t + 84 = -3*w, t = -0*t + 3*w + 24. Is t bigger than n? False Let x be 4652/(-66) + (-10)/55. Let k = -70 - x. Let y = -5/26 + -3/52. Which is smaller: k or y? y Let i(s) = -s**2 + 9*s - 13. Let f be i(7). Is 1 <= f? True Let j = 1.3 - -10.7. Which is bigger: j or -2? j Let u(x) be the third derivative of -x**6/120 + x**5/30 - x**3/6 - x**2. Let m = -5 - -4. Let h be u(m). Is 1 bigger than h? False Suppose p = -2*u - 2 + 8, 5*u - 15 = -p. Let c be 3/(10/(-1 + 0)). Which is greater: c or p? p Let m be 22/(-28) + 1/2. Let t = 10 - 0. Let z = 10 - t. Is m greater than z? False Let z = 162 - 71. Suppose 4*d - z - 189 = 0. Let v be 4/18 - d/72. Is v < 0? True Let v = -8 + 8. Is -2/51 bigger than v? False Suppose 6 = 2*q - 3*q. Let n(k) = -k**3 - 5*k**2 + 6*k. Let o be n(q). Which is smaller: o or 3? o Let x = -20 + 27. Is x at least as big as 76/9? False Suppose -9*b + 28 = -7*b. Are 14 and b nonequal? False Let c be (-12)/135*(-10)/(-36). Is 0 at least c? True Suppose -5*g = -0*g - 4*a + 13, 0 = -2*g + a - 4. Which is smaller: 1/14 or g? g Suppose -1 = -2*d - 3. Let j be (-2)/6 - 30/(-9). Suppose -2*v - 5 + j = 0. Is v < d? False Let x be (-16437)/(-66) + (-2)/(-4). Let h = x - 250. Let t = 26/33 + h. Which is smaller: t or 0? 0 Let u = -38 - -41. Are u and 2 nonequal? True Let z = -100 + 69. Are -31 and z equal? True Suppose 0 = 3*j + 19 + 17. Which is smaller: -13 or j? -13 Suppose -v - 1 = -0. Is v <= 3/7? True Let l(d) = d**2 - 3*d + 3. Let t be l(2). Suppose -2 = 3*m + t. Which is smaller: 0 or m? m Let s(g) = 2*g - 35. Let p be s(16). Suppose 3*r + 9 = -12. Is r > p? False Let x = 27 - 24. Suppose -x*r - r = 0. Is 2/3 != r? True Let n = -31 - -61/2. Which is smaller: 0 or n? n Let o = 1.1 - 1.17. Let l = 0.37 + o. Is 2/5 at least l? True Suppose 3*l = -2*f - 2*f + 83, -f = -5*l - 15. Is 20 at most as big as f? True Suppose -m + 4*l - 8 = 0, 2*m - 10 = 4*m - 5*l. Is 1/80 greater than or equal to m? True Let w = -5 - -10. Suppose 4*f + 6*m = m - 33, w*f - 5 = 3*m. Which is smaller: -6/5 or f? f Suppose -35 = -2*w - 3*w. Is 7 at least w? True Suppose n + l - 39 = 0, 1 = l - 1. Suppose 5 = 5*i + p - n, 4*i - 40 = -4*p. Suppose r + r + i = 0. Is -5 >= r? False Suppose -5*y + 20 = -5*a, -2*a = -2*y + 4*y - 8. Let c be 1/(5/y + -1). Suppose -w + 6 = c. Is w greater than 2? False Let b = -21 - -20.98. Is 1 equal to b? False Let f(z) = -3*z. Let a be f(-1). Suppose 2*y - 2*i - 1 - 5 = 0, -5*y = a*i - 15. Let c = -5 + y. Is -1 >= c? True Suppose -4*r = -8, -r = -2*v + v + 6. Is v != 0? True Let g(l) = l - 3. Let d be g(9). Which is smaller: -0.1 or d? -0.1 Let z = -17 - -22. Does 1/3 = z? False Let k(f) = f + 5. Let w be k(-4). Is -2/41 >= w? False Let c = 2.065 - 0.065. Which is bigger: c or 12? 12 Let l be 2 + -1 + (-9)/6. Let i = -0.046 + -0.054. Which is greater: i or l? i Let i = 0.02 + -4.02. Let a(s) = -s - 4. Let b be a(-5). Let t be b/(-3) - 7/(-21). Which is smaller: i or t? i Suppose -3*y + 8 = -2*a, 0 = 2*y + a - 0 - 10. Suppose j - c - 6 = y*c, 0 = -3*j - 5*c - 2. Does j = 1/5? False Let o = -7 - -10. Suppose -b - 4*b + 7 = -g, -b = 2*g + o. Is b bigger than 0.2? True Suppose -74*f - 3 = -71*f. Is f equal to -6/35? False Let c(p) = p + 15. Let h be c(-10). Suppose -3*q + 0*q + h*m = 23, 2*m = -q + 7. Which is smaller: 0.1 or q? q Suppose 3 = -4*t - 9, 4*o = -3*t + 11. Suppose 2 + 8 = o*d. Let a = d - 4. Which is smaller: -3 or a? -3 Let x = -38 + 48. Is x smaller than 0.2? False Suppose -39 = 4*a - 23. Let x be (-10)/(-8) - 3/12. Let c = x + a. Which is smaller: c or -4? -4 Suppose 5 - 3 = 2*b. Is b >= 1? True Let l be ((-5)/(-5 - 0))/((-10)/(-6)). Suppose 4*o = 3*j + 9, -3*o + 9 = -4*j + 4. Let g = o + -2. Is l > g? False Suppose -2*k = 3*o + 1 + 5, 3*k = -9. Which is smaller: 41 or o? o Suppose 0 = -3*o + 23 + 1. Suppose -5*w = -4*g - 2 - o, -g - 3*w + 6 = 0. Let h = 5/7 + -23/42. Is h greater than g? True Let l be -1 + 1*(-2 + 27). Which is smaller: l or 23? 23 Let p = 46 - 101. Is -55 smaller than p? False Let q = -3.8 + -1.2. Let v = q + 2.2. Let h = 3 + v. Which is smaller: h or 0? 0 Let f be (24/18)/(2/3). Which is bigger: f or 0? f Suppose -2*v = a - 6*v + 7, -5*a + v = -3. Which is smaller: 1/14 or a? 1/14 Let i = -875/2501 + 13/41. Which is bigger: i or -1/3? i Let g = 46 - 46.2. Suppose -2*a = -5*j, 5 - 36 = 3*j + 5*a. Which is smaller: g or j? j Let g = -1086/17 - -64. Suppose 2*i + 4*t = -2, -6*i - 3*t = -3*i. Which is smaller: i or g? g Suppose 2*p - 6 = 3*g - 39, 0 = -2*g - p + 15. Let i = g - 4. Which is smaller: 3 or i? 3 Suppose -5*j - 1 = -m - 7, 0 = 2*m - j - 6. Suppose -m*x = -0*x - 20. Let s be (-23)/15 + 1/x. Which is smaller: s or -1? s Let q be (5 + (-21)/3)*(-2)/34. Is -4 bigger than q? False Let l = -2.04 - -0.04. Suppose -g - 4*g = -200. Let u = g - 278/7. Does u = l? False Let s = 32 + -19. Let b = s + -9. Which is smaller: b or 2? 2 Suppose 0 = -2*h + 4*h + 4. Which is bigger: -6 or h? h Let a = 53 + -53. Suppose -18 = -3*l + s + s, -4*l - 3*s + 7 = 0. Let w be 58/56 + l/(-14). Which is smaller: a or w? a Let q be ((-5)/(-15)*-3)/5. Which is bigger: q or -0.3? q Let q be (20/318)/5*66. Let s = q - -6979/212. Let y = -34 + s. Which is bigger: y or -1? y Let y = -0.27 + -0.0
{ "pile_set_name": "DM Mathematics" }
hat is 11201 - 10? 11121 In base 8, what is -32 - 437? -471 In base 7, what is 5 - 103? -65 In base 11, what is 10aa + 0? 10aa In base 16, what is 15d - 4? 159 In base 8, what is -14067 - -5? -14062 In base 14, what is -111 + 8? -107 In base 9, what is -120 + -1? -121 In base 16, what is 5 - -342? 347 In base 3, what is 20 + -221? -201 In base 8, what is -355 - -34? -321 In base 2, what is 110110010 - -10? 110110100 In base 13, what is -1 - 9? -a In base 6, what is -10 - 542? -552 In base 7, what is -106 - -10? -66 In base 4, what is -21 - 202332? -203013 In base 16, what is 5 + 928? 92d In base 8, what is 3552 - 2? 3550 In base 11, what is 2212 + -a? 2203 In base 9, what is -6 - 46? -53 In base 6, what is -40 + -2? -42 In base 4, what is 20 - -11? 31 In base 14, what is -c + -4? -12 In base 10, what is 1229 - 3? 1226 In base 11, what is 15 + 5? 1a In base 9, what is -1 - 273? -274 In base 16, what is 1b5 + 2? 1b7 In base 7, what is -3 + -25? -31 In base 11, what is -1 + 455? 454 In base 2, what is -1 - -10000101100? 10000101011 In base 2, what is -1 - 100010? -100011 In base 8, what is -10 - 60? -70 In base 14, what is -3 + 12a? 127 In base 12, what is 1 + a17? a18 In base 12, what is 7b - -3? 82 In base 7, what is -440 - 61? -531 In base 12, what is 3a - -2? 40 In base 8, what is 5 - 1255? -1250 In base 2, what is 1101110001 + 11? 1101110100 In base 15, what is 15 - 4? 11 In base 3, what is 101 + 12201? 20002 In base 4, what is 31212 - 3? 31203 In base 12, what is 4 - 495? -491 In base 12, what is 164 - 1? 163 In base 7, what is 65 + -2? 63 In base 11, what is 283 - -25? 2a8 In base 12, what is -47 + 42? -5 In base 9, what is -3 + 6? 3 In base 3, what is 10 + -1012? -1002 In base 6, what is -5 - -25? 20 In base 7, what is -4 - 6132? -6136 In base 5, what is 323 + 2? 330 In base 13, what is 20c - 0? 20c In base 11, what is 545 - 5? 540 In base 16, what is -3 + -28? -2b In base 12, what is -2 + -37a5? -37a7 In base 14, what is 2 + 342? 344 In base 14, what is -10 - -a? -4 In base 8, what is 6 + -524? -516 In base 5, what is 12 + -123? -111 In base 3, what is -1 - 1111001? -1111002 In base 3, what is 0 - 2000? -2000 In base 7, what is 4 - 53? -46 In base 13, what is 3a9 + 4? 3b0 In base 2, what is 101 + -101010011? -101001110 In base 14, what is 675 + -2? 673 In base 14, what is -5 + -c? -13 In base 6, what is 2 - -35? 41 In base 16, what is -40 - -2? -3e In base 6, what is -43 + 4? -35 In base 3, what is -110112 + -22? -110211 In base 2, what is 1011101111 - 101? 1011101010 In base 4, what is -32102 + 11? -32031 In base 13, what is 2 - -245? 247 In base 13, what is 3 - a? -7 In base 4, what is -11231 + -12? -11303 In base 4, what is 13213 - 11? 13202 In base 2, what is -100111 - 10001? -111000 In base 5, what is 3 - 2434? -2431 In base 13, what is 8b - -4? 92 In base 4, what is -10 - -200? 130 In base 9, what is -8 + 37? 28 In base 7, what is -5413 - 1? -5414 In base 12, what is 11 + -16? -5 In base 8, what is -14 - -15? 1 In base 7, what is 6 + -663? -654 In base 7, what is -503 + -12? -515 In base 14, what is 111 - -2c? 13d In base 12, what is -a + -6? -14 In base 9, what is 528 + 3? 532 In base 8, what is 6 - -512? 520 In base 9, what is 3 + -34? -31 In base 9, what is -7 + 323? 315 In base 12, what is 0 - -10? 10 In base 15, what is -2 - 1c19? -1c1b In base 4, what is -2303 + -12? -2321 In base 5, what is 301 + 101? 402 In base 9, what is -520 - 24? -544 In base 3, what is 11120100 - -2? 11120102 In base 11, what is -112 + -4? -116 In base 6, what is 242 + 2? 244 In base 12, what is -b3 + 175? 82 In base 3, what is -20212 - 11? -21000 In base 11, what is 9 - 13? -5 In base 11, what is 2 - 348? -346 In base 8, what is 5 + -742? -735 In base 10, what is -9 - -14? 5 In base 11, what is -5 - -2402? 23a8 In base 8, what is -71 - 4? -75 In base 14, what is -5d + -15? -74 In base 16, what is -1 + -6e? -6f In base 9, what is 734 - -1? 735 In base 3, what is 120112 - -1? 120120 In base 9, what is -60 - 3? -63 In base 8, what is 273 + -1? 272 In base 4, what is 13 - -10132? 10211 In base 15, what is 2 - -2182? 2184 In base 10, what is -68 - -38? -30 In base 3, what is 1022 + -11? 1011 In base 10, what is 67 + -134? -67 In base 9, what is 11 + -42? -31 In base 15, what is -12 + 48c? 47a In base 14, what is -92 + -3a? -cc In base 6, what is 2 + 45044? 45050 In base 10, what is 482 + 1? 483 In base 7, what is 10 - 35? -25 In base 13, what is -302 - -5? -2ca In base 15, what is 9 + -6? 3 In base 10, what is 12 - -35? 47 In base 8, what is 1 - -346? 347 In base 5, what is 10 + -1100? -1040 In base 5, what is -100 + 220? 120 In base 11, what is -5 + -119? -123 In base 10, what is 8 + 231? 239 In base 4, what is 3 + 113? 122 In base 6, what is 1134 - -4? 1142 In base 4, what is -2 - -101222? 101220 In base 14, what is 298 + 3? 29b In base 11, what is -16 - 57? -72 In base 12, what is 3 + 17? 1a In base 14, what is a + -94? -88 In base 10, what is -740 - 0? -740 In base 2, what is -100100 - -1101000? 1000100 In base 16, what is 2 - 88? -86 In base 13, what is -1111 + -4? -1115 In base 3, what is 2121201 + -10? 2121121 In base 6, what is -234 - -11? -223 In base 13, what is 5 - -27? 2c In base 14, what is 200 + -13? 1cb In base 10, what is 2 - -61? 63 In base 5, what is 420 - -2? 422 In base 14, what is -2d + 40? 11 In base 8, what is 247 - -125? 374 In base 14, what is -717 + b? -70a In base 7, what is -133 - -15? -115 In base 11, what is 3 - -438? 440 In base 4, what is -1222123 + 1? -1222122 In base 13, what is 218b + -4? 2187 In base 8, what is 237 - 5? 232 In base 7, what is -1 + 203? 202 In base 2, what is 100 - -11110? 100010 In base 9, what is 1 - -434? 435 In base 3, what is 20211 - -222? 21210 In base 6, what is -3 - 51112? -51115 In base 6, what is -1043 + -3? -1050 In base 8, what is 1025 - 35? 770 In base 14, what is 9d + -4? 99 In base 2, what is 101100110 - -1? 101100111 In base 15, what is 0 + -10? -10 In base 6, what is 1425 + -5? 1420 In base 12, what is a6 + 2a? 114 In base 10, what is 13 - 58? -45 In base 9, what is -4 - 8? -13 In base 5, what is -2 - -231? 224 In base 15, what is 168 - -5? 16d In base 7, what is -5 + -14466? -14504 In base 5, what is 14 + -2? 12 In base 9, what is 64 - 12? 52 In base 6, what is 114 + -10? 104 In base 4, what is 113110 + 13? 113123 In base 14, what is -2 + d? b In base 14, what is 68 + -b? 5b In base 8, what is 25 - -627? 654 In base 15, what is 8b0 + -1? 8ae In base 9, what is -266 + -3? -270 In base 10, what is -8 - 5? -13 In base 11, what is -5 - -28? 23 In base 3, what is 110 - -2200? 10010 In base 16, what is 3 - 172? -16f In base 2, what is -1010001111010 - -1? -1010001111001 In base 5, what is -21 - 300? -321 In base 16, what is b - -c? 17 In base 15, what is -6 + -36? -3c In base 2, what is 1000001110 + -1? 1000001101 In base 13, what is 4c - -1? 50 In base 3, what is -122 + 1021? 122 In base 2, what is -100011000 - -100? -100010100 In base 14, what is 6 - -54c? 554 In base 10, what is -4881 - 1? -4882 In base 16, what is -7 - 21? -28 In base 13, what is -36a + 1? -369 In base 9, what is -6 - -2? -4 In base 4, what is 1 + -1100? -1033 In base 5, what is 312 + -1? 311 In base 9, what is 502 + 10? 512 In base 8, what is -2357 - 0? -2357 In base 10, what is 26 + -6? 20 In base 14, what is -153 - 2? -155 In base 16, what is 1f + 2? 21 In base 8, what is -2601 - -3? -2576 In base 15, what is 985 + -1? 984 In base 14, what is -1 + -24? -25 In base 12, what is -1a9 + 2? -1a7 In base 14, what is 14 - -60? 74 In base 5, what is 103 + -4? 44 In base 13, what is 1b9c - 4? 1b98 In base 14, what is -7b1 + 3? -7ac In base 7, what is -2641 + -2? -2643 In base 11, what is a9 + -4? a5 In base 6, what is 32502 - -3? 32505 In base 16, what is 1a + 1a5? 1bf In base 13, what is -2 + -75? -77 In base 10, what is 7 - 5? 2 In base 6, what is -13155 + 1? -13154 In base 4, what is -11 - 20303? -20320 In base 8, what is -61 - -351? 270 In base 15, what is -4d + -18? -66 In base 12, what is -30 + -1a? -4a In base 10, what is 3104 - 1? 3103 In base 3, what is -222 + -12? -1011 In base 10, what is -1422 - 4? -1426 In base 2, what is 1010011011 + 101? 1010100000 In base 9, what is 11 + -50? -38 In base 9, what is -26 + -11
{ "pile_set_name": "DM Mathematics" }
-6. Let b = -17 + 29. Let i = b - s. Is i a multiple of 3? True Let m be 3/(-12)*(-1 + 1). Suppose -5*s + m*q = 5*q - 175, s = -2*q + 33. Is s a multiple of 24? False Suppose -5*d + 57 = -3. Is d a multiple of 8? False Suppose d - 5*h - 39 = 2*d, -d = -h + 15. Let w = d + 54. Let v = w + -23. Does 12 divide v? True Let o(r) = -3*r - 16. Let j be o(-14). Suppose -4*b + 2 = -u, 2*u = b - 4*b - j. Let f(h) = -h**3 - 10*h**2 - 5*h - 2. Does 16 divide f(u)? True Let j(m) be the second derivative of -1/3*m**3 - 6*m - 17/2*m**2 + 0. Does 4 divide j(-13)? False Suppose 2*l - 3*d + 16 = d, 4*l = -3*d + 12. Suppose 9*r - 4*r = l. Suppose 78 = -r*b + 2*b. Does 16 divide b? False Let z(a) = -2 - 2*a**3 + 7 + 4*a**3 - 4*a - 5*a**2. Is 22 a factor of z(5)? True Let g(f) = f**2 - 10*f - 8. Let j(s) = 12*s**2 - s - 1. Let o be j(-1). Let v be g(o). Suppose -v = -2*r - 3*i + 17, -i - 31 = -4*r. Is r a multiple of 2? False Let f(h) be the third derivative of h**6/120 + 7*h**5/60 - 13*h**4/12 - h**3/6 + 21*h**2. Is 7 a factor of f(-9)? False Let p(l) be the first derivative of 13*l**2 + l + 3. Let n be 2*(-1)/(6/(-9)). Is p(n) a multiple of 30? False Suppose -6 + 21 = 3*t. Suppose -147 = -2*c - f, t*f - 11 = -2*c + 148. Is 6 a factor of c? True Suppose -51581 + 9256 = -25*u. Is u a multiple of 120? False Let t = 75 - -10. Let a = t + -1. Is 14 a factor of a? True Suppose 2158 = 2*s + 2*r, -4*s + 15*r - 18*r = -4317. Is s a multiple of 30? True Let x = -1687 - -2627. Is x a multiple of 16? False Let l(y) = -y**3 - 13*y**2 + 14*y + 4. Let k be l(-14). Suppose -2*h + 30 = -3*t - 102, k*t = -h + 44. Does 12 divide h? True Suppose 4*f - 5197 = v - 0*v, -4*f + 5*v = -5185. Does 13 divide f? True Let k(w) = 328*w**2. Let z be k(-1). Let f = z + -130. Suppose 8*x - 5*x + 4*o = f, -o = x - 66. Is x a multiple of 23? False Suppose -4*g - p + 817 = 0, -2*p = -g - 4*p + 199. Let t = 333 - g. Does 33 divide t? False Let h(y) = 18*y - 16. Let w be h(-9). Let q = w + 343. Is 35 a factor of q? False Let b = -16 + 16. Suppose -2*l + 2*v + 394 = b, 5*l + 0*v = 3*v + 987. Is l a multiple of 37? False Let v(a) = 4*a**2 - 5*a + 3. Let p be v(2). Let l(y) = -5*y + y**2 + 5*y + y + 5*y + p. Does 16 divide l(-7)? True Suppose 7*m = 2*m. Suppose 3*p - 4*r - 14 = m, 4*p - 5*r - 33 = 8*p. Is (-24)/(-16) - 63/p a multiple of 12? False Suppose 39*p - 31*p - 2432 = 0. Does 10 divide p? False Let a = 19 + 21. Does 18 divide 4/a*-6 + 676/10? False Let z = -83 + 83. Suppose 7*m - 170 - 194 = z. Does 4 divide m? True Suppose 0 = -n + 5 + 10. Let u be ((-12)/n)/((-4)/20). Suppose -y = u*y + 4*k - 56, -2*y - 4*k = -32. Is y a multiple of 8? True Let y(c) = c**3 - 11*c**2 - 11*c - 13. Let u be y(12). Let j = 1 - u. Suppose -3*k + 55 = j*n, 5*n + 4*k = -51 + 199. Does 16 divide n? True Suppose r + 15 = 9. Let w(m) = -m**3 - 9*m**2 - 3*m + 5. Let h(b) = -3*b**3 - 28*b**2 - 8*b + 16. Let l(y) = 2*h(y) - 7*w(y). Does 2 divide l(r)? False Let j = 27 + 23. Suppose -2*p - j = -3*s - 2*s, -4*s + 3*p = -33. Is 4 a factor of 24*(s/(-3))/(-4)? True Let b(i) = i**2 - 4. Let w = 0 - -3. Does 5 divide b(w)? True Suppose 23*f = 20*f + 558. Is 7 a factor of f? False Let r(h) be the second derivative of 7*h**3/2 + 2*h**2 - 5*h. Is r(4) a multiple of 23? False Let s = -6 - 3. Let i be s*1*3/(-9). Suppose -4*n - i*y - 182 = -587, 3*n - 320 = y. Does 19 divide n? False Let x(p) = p**3 + 4*p**2 - 13*p + 1. Let d be x(-6). Does 16 divide (35 - -1)/(-7*d/(-49))? False Let s be ((-9)/15)/((-2)/10). Let r(p) = -p**3 - 14*p**2 + 13*p - 6. Let x be r(-15). Suppose u = s + 1, u + x = d. Does 14 divide d? True Suppose -984 = -3*c + 2*x, -c + 2*x + 129 + 203 = 0. Is 4 a factor of c? False Suppose 9*v + 762 = -849. Let f = -103 - v. Is 14 a factor of f? False Let s be ((-3)/(-3))/(1 - 54/57). Let n(k) = k + 11. Is n(s) a multiple of 10? True Suppose -4*d = -5*d - 1. Let v(r) = -4*r**3 - 6*r**2 - 4*r - 3. Let z(o) = -o**3 + o. Let i(w) = d*v(w) + 5*z(w). Does 13 divide i(7)? False Is 28 a factor of (-50)/(3 - -7) - -211? False Let g(b) = 2*b**3 - 10*b**2 - 19*b + 11. Is 33 a factor of g(9)? False Let p(a) = 2*a**2 - 6*a + 7. Suppose 6*r = 12*r - 42. Does 9 divide p(r)? True Does 34 divide 21288/156 - 18/39? True Let o(k) = k**3 - 9*k**2 + k + 14. Let g(h) = -6*h - 1. Let r(c) = 7*c + 2. Let u(w) = -5*g(w) - 4*r(w). Let n be u(6). Is 4 a factor of o(n)? False Suppose 0 = 3*h - 15 - 12. Suppose h*z - 6*z = 54. Is z a multiple of 18? True Let s(d) = d**3 - 7*d**2 + 2*d. Let m(q) = q**3 - 7*q**2 + 3*q. Let a(i) = 3*m(i) - 4*s(i). Let v be a(7). Suppose -9*u + v*u = -64. Is 16 a factor of u? True Suppose -3*i - 3*g + 3 = 0, 3*i + 2*g + 3*g + 1 = 0. Suppose 53 = 2*b + 7. Suppose -b = -i*u + 4. Is 9 a factor of u? True Let f(s) = s**2 + 19*s - 7. Suppose 40 = t - 3*t. Is f(t) a multiple of 4? False Suppose 0 = -2*m + 4*m. Let z(g) = 0 + 4*g + m*g**2 + 3 + 3*g**2 - 2*g**2. Is 8 a factor of z(-5)? True Suppose -2*u - s + 818 + 100 = 0, 4*u = 2*s + 1820. Is u a multiple of 33? False Let m = -127 + 137. Is 60 a factor of (-6992)/(-95) - 6/m? False Let p = -347 - -768. Does 8 divide p? False Let l(n) = n**3 - 10*n**2 + 18*n - 1. Let t be l(8). Suppose 250 = -10*x + t*x. Does 25 divide x? True Suppose -1175 = -2*r + 385. Does 20 divide r? True Is (720/6)/(-15)*-1*149 a multiple of 91? False Let w be (-2)/(-2) + 5 + 63/1. Suppose -3*p = 5*g - w, 28 - 6 = 2*g + 4*p. Is g a multiple of 3? True Suppose 5*u = -v + 18, -2 - 1 = -3*u + 2*v. Let g = 56 - 52. Is 11 a factor of 94/8 - u/g? True Let y(q) = -17*q**3 + 2*q**2 + q. Let l be y(-1). Let v = 18 - l. Let k(b) = b**2 + b + 8. Is k(v) a multiple of 5? False Suppose 8*g - 5*g = 1743. Suppose 0 = 7*q - 0*q - g. Does 27 divide q? False Suppose 3*d = u - 5*u + 2102, 2*d - 1409 = 5*u. Does 27 divide d? True Let t = 1391 - 893. Is 24 a factor of t? False Let h = -295 - -530. Does 5 divide h? True Suppose 3*i + 64 = 205. Let z = i + -14. Is z a multiple of 11? True Let k = 38 - 198. Is 10 a factor of (2/4)/((-4)/k)? True Suppose 3*z + 70 = 5*l, -3*l - 3*z + 22 + 20 = 0. Let i = l + 8. Does 11 divide i? True Suppose 0 = 3*o - 2*o + 4. Is 2 a factor of (4/(((-14)/o)/7))/2? True Suppose -14 = -2*o - 2*j, 0*o - 5*j + 15 = o. Suppose o*b = -3*n + 3 + 7, -3*n = -3*b + 6. Suppose -b*x = -6*x + 296. Does 13 divide x? False Suppose 27*b = 2*b + 34475. Does 62 divide b? False Let c(b) = 4*b + 48. Suppose 2*r + 5*a = 36, r = -0*r - 5*a + 13. Does 9 divide c(r)? False Suppose 1 = -b - 2*w - 2, 2*b - 18 = 4*w. Let f(h) = -3*h + 12*h - 5 - 4*h. Does 5 divide f(b)? True Let o be (3 + 0 - -696) + -2. Suppose -5*y + o = -328. Is y a multiple of 41? True Suppose -6 - 54 = -4*g. Let b = -9 + g. Suppose 0 = 5*z - 51 + b. Is z even? False Let p = -32 + 278. Let a = 358 - p. Is a a multiple of 32? False Let z = 179 - -3321. Is z a multiple of 70? True Let d(l) = l**2 - l - 11. Let o be d(0). Let a(i) = 2*i**2 - 15*i - 4. Let h be a(o). Suppose 4*r + 51 = h. Is 35 a factor of r? False Suppose -62 = 3*k - 512. Is k a multiple of 50? True Let d be (26/4)/((-2)/(-56)). Let j = 121 - d. Let t = 113 + j. Is t a multiple of 13? True Suppose 0 = 16*l - 7*l + 36. Let x(d) = 2*d**2 + 7*d + 14. Does 3 divide x(l)? True Is 18/(2/(-13) - 1008/(-4186)) a multiple of 13? False Let t(a) = -a**2 - a + 1. Let j(b) = -18*b**2 - 15*b + 9. Let k(p) = -j(p) + 15*t(p). Is k(6) a multiple of 32? False Let x = 12 + -10. Suppose 3*a + 13 = x*u - 32, u - 15 = -a. Does 18 divide u? True Suppose -o + 10 = o + 4*g, g + 2 = 0. Suppose w - 85 = 4*y, o*y - w + 105 = 4*y. Let k = -11 - y. Is 3 a factor of k? True Let m(t) = -5 - 16*t - 4*t**2 - 2*t**3 + 3*t**3 + 10*t. Let l be m(6). Suppose -3*k = 2*q - 98, -3*k = -q - 0*k + l. Is q a multiple of 18? False Let o be 18/5 + 2/5. Suppose 0 = o*k + 4*s + 20, 0 = 5*k - s - 6 + 37. Let l = k + 13. Is l a multiple of 2? False Let a(h) = -h**3 + 27*h**2 - 18*h + 50. Let o be a(24). Suppose 15*t - 139 = o. Is 22 a factor of t? False Let n be 28/7 - (-117 + 2). Let u = -83 + n. Is u a multiple of 12? True Suppose -3*s = -5*u + 5040, -4*u + 3*s - 5*s = -4032. Is 36 a factor of u? True Let j = -65 + 96. Is j a multiple of 4? False Let u(h) = -h + 9. Let g be u(-12). Let x = g + -7. Let t = x + 19. Is 11 a factor
{ "pile_set_name": "DM Mathematics" }
Let v = -1 - -3. Let m = w - v. Sort m, -4, -1. -4, -1, m Let j(c) = -3*c**2 + 16*c - 7. Let k be j(5). Put -11, -4, k in decreasing order. k, -4, -11 Let n = -41 + 43. Sort n, 1, -12 in ascending order. -12, 1, n Let h(d) be the third derivative of d**6/120 + d**5/6 + 3*d**4/8 + 7*d**3/6 - d**2. Let q be h(-9). Sort -1, q, -5 in decreasing order. q, -1, -5 Let s(t) = -t**2 + 6*t + 9. Let m be s(7). Let w = 2369/65 - 183/5. Put m, 1/4, w in descending order. m, 1/4, w Let b be 8/6*3/2. Suppose n - 3 = -b*n. Put -5, n, 5 in decreasing order. 5, n, -5 Let r = 17.6 - 18. Let j = 0.7 + r. Sort 3, j, 4 in ascending order. j, 3, 4 Let t be (-11 + -1)/(-3) - 8. Sort t, -1, 2 in ascending order. t, -1, 2 Let s = -0.08 + 3.08. Sort -1/3, -4, s. -4, -1/3, s Let r(g) = -g - 2. Let j be r(1). Put -3/5, j, -0.04 in decreasing order. -0.04, -3/5, j Let a = -16 + 15. Sort a, 7, -5 in decreasing order. 7, a, -5 Let i be (8 - 13)/(1/(-1)). Suppose 4*j - s + 13 = -0*s, i*s + 23 = -2*j. Sort 1, 0, j in decreasing order. 1, 0, j Suppose -53*r + 48*r + 245 = 0. Sort r, -4, -1. -4, -1, r Let t = -1.6 - 2.4. Let f be (-5 - -4)*(7 + 1). Sort 2, f, t. f, t, 2 Let z = -36 + 37. Sort -2/5, z, -0.6 in descending order. z, -2/5, -0.6 Let r(z) = -3*z - 19. Let b be r(-6). Put b, -7, 5 in decreasing order. 5, b, -7 Let t(x) = 2*x - 1. Let m be t(-1). Suppose -4 = 2*c + 2*c. Let b be (3/(-2))/(c/2). Sort b, -5, m. -5, m, b Let t be (-24)/33*(-1)/4. Let w be 1*(-1 + -2 + 0). Sort t, -3/2, w. w, -3/2, t Let w be (2 - 0) + 26/(-12). Let u = -0.08 - -5.08. Sort u, w, 2 in decreasing order. u, 2, w Let m be -2 - -2 - 1/(-2)*0. Sort 4, -2, 2, m in decreasing order. 4, 2, m, -2 Let p = 0.01 - -0.99. Let m = 1.1 - p. Let j = -6 - -1. Put j, m, 0.2 in ascending order. j, m, 0.2 Let p = -27 + 31. Suppose p*a = 6*a + 5*r + 20, -24 = 4*a + 2*r. Sort 2, -1, a in decreasing order. 2, -1, a Suppose 12 = 15*n - 12*n. Sort -2/5, n, 1 in descending order. n, 1, -2/5 Let v be 4/6 + 34/(-6). Put -1, -3, v in increasing order. v, -3, -1 Let s = -6 + 3. Let l = 2 + s. Sort -1/6, -3, l in decreasing order. -1/6, l, -3 Let y = 30 - 91/3. Sort -2, y, -1. -2, -1, y Let m = -8 + 16. Let j = 4 - m. Sort j, 5, -5 in increasing order. -5, j, 5 Let t be (-2)/(-9) - 187/153. Put 3, t, 4 in descending order. 4, 3, t Suppose 4*m + 13 = 2*r + 11, -3*m + 3 = 3*r. Let v be 0*(-1 - -2) + 1. Let x be -1*v - (-1 - 1). Put x, -5, m in decreasing order. x, m, -5 Let t be -2 - 25/(-15) - -1. Sort t, 5, 0.3. 0.3, t, 5 Let h = 14 + -16. Sort 1/2, -5, h. -5, h, 1/2 Let t = 18 + -30. Let n = t - -15. Sort 5, 0, n. 0, n, 5 Suppose 0 = q - 0*q. Suppose -v = -3 + 7. Sort v, q, -1 in descending order. q, -1, v Let l(o) be the second derivative of o**5/20 + 3*o**4/4 - 11*o**3/6 - 3*o**2 - 2*o. Let b be l(-10). Let u(k) = -k - 2. Let h be u(-2). Sort -2, b, h. -2, h, b Let n = -0.04 + 0.24. Put n, -1, -6 in increasing order. -6, -1, n Let k be (0 + 1 + 3)*(-6)/(-24). Suppose -5*i - 4 = o, 0*i - 3*o = -4*i + 12. Sort i, -1, k. -1, i, k Suppose 2*m - 21 + 5 = 0. Let z = -17 + m. Let w = z + 6. Sort 1, -2, w in increasing order. w, -2, 1 Let i(z) = z**3 - 11*z**2 + 8*z + 11. Let k be i(10). Let s = -14 - k. Put -2, 0, s in decreasing order. 0, -2, s Let i = -4 + 4. Let k = 0 + i. Let y = k - 0.3. Put y, -0.1, 1 in ascending order. y, -0.1, 1 Suppose -v = 2*x - 0*v - 4, 0 = -3*x + v + 11. Suppose -x = -2*u + 1. Put -1, 3, u in descending order. 3, u, -1 Let b(i) = i**2 + 8*i + 4. Let x be b(-7). Let g = 1 - 1. Sort x, g, 1. x, g, 1 Let g(t) = -t - 3. Let z be g(-4). Let f be -10*(-2)/15*-6. Let v be 2 + 4 + f + 4. Put z, 0, v in decreasing order. v, z, 0 Let m = -1 + 4. Let p be 2/7 - (-38)/14. Let q be ((-2)/p)/((-6)/45). Put q, m, 4 in ascending order. m, 4, q Let r be ((-12)/102)/(1 + -2). Let i = -2/25 - 21/50. Sort r, i, -1/6 in increasing order. i, -1/6, r Let s = -0.69 + 0.7. Let q = -0.39 - s. Put q, 1, -1/6 in descending order. 1, -1/6, q Let r = -0.5 + -3.5. Put r, 5, 0 in descending order. 5, 0, r Let v = 19.09 - 19. Let u = 1.51 + v. Let q = u - 0.6. Put -2, q, 0.1 in decreasing order. q, 0.1, -2 Let f = -5 - -8. Let b(u) = 2*u + 1 + 2 - f*u + 7. Let a be b(7). Sort a, 5, 4 in ascending order. a, 4, 5 Suppose -4*x + 2*g - 12 = 6*g, -5*g - 15 = x. Let b be (-3)/(-6) - (-6)/4. Let i(k) = k**2 - 1. Let l be i(b). Sort -3, l, x. -3, x, l Let h be (6/8)/((-1)/4). Let i be 11/(-5) + (-11)/(-55). Let n be (h/2)/(-1)*i. Put -4, n, 1 in descending order. 1, n, -4 Suppose 5*h = 25, 5*r - 13 = -5*h + 27. Suppose 0 = -r*s + 6 + 3. Sort s, 4, -5. -5, s, 4 Let o be (-3)/(9/(-2)) - 0. Let r = 10 - 12. Put r, o, -3 in decreasing order. o, r, -3 Let k(u) = u**2 + 5*u - 6. Let x be k(-5). Let v be (x/20)/(2/(-4)). Put 4, v, -0.5 in descending order. 4, v, -0.5 Let x(y) = -y**3 + 12*y**2 - 10*y - 10. Let a be x(11). Let j be (-130)/(-25) + a/(-5). Sort -2, 2, j in ascending order. -2, 2, j Let t be (-2)/(-1)*3/2. Let u = -135 - -677/5. Let g = 3.7 + -4. Sort t, g, u in increasing order. g, u, t Let q = 13 - 13.4. Put q, -0.3, -0.2 in descending order. -0.2, -0.3, q Let f = 0.11 - -0.29. Sort -1/4, 3, f in descending order. 3, f, -1/4 Let l = -3.95 + -0.05. Let z = l - -3.6. Let o = 0.4 - 0.2. Put z, -3, o in increasing order. -3, z, o Let x be (-62)/15 - 2/(-15). Put x, 7, -2 in ascending order. x, -2, 7 Let n = -17 - -5. Let c = 32 + -34. Put n, c, 5 in ascending order. n, c, 5 Let d = -4 - -1. Let q = 5.03 + -0.03. Sort 0, d, q in decreasing order. q, 0, d Let r be (2 - (3 - 1))/2. Sort r, 2, 3. r, 2, 3 Suppose 3*c = 3*k + 7*c - 10, 18 = -3*k + 3*c. Let j(b) be the first derivative of b**2/2 - 7*b + 6. Let a be j(8). Sort a, k, 3. k, a, 3 Let s = 7 + -6.9. Let i be -2 + (-11 - -2) - -2. Let w = i + 5. Put 3, w, s in decreasing order. 3, s, w Let n = 16 - 15.99. Let g = -0.49 - n. Sort 0.3, 3/2, g in descending order. 3/2, 0.3, g Let r(x) = -x + 1. Let i be r(-4). Suppose 3*m + 2*h = 14, 5*m - i = 4*m - h. Put -5, m, -1 in descending order. m, -1, -5 Let f(h) = -h + 11. Let w be f(13). Put w, -0.4, -1/7, 1/6 in descending order. 1/6, -1/7, -0.4, w Let b = -6 + 11. Sort 3/5, b, 0.5. 0.5, 3/5, b Let x = -0.003 - -7.403. Let z = x + -7. Sort 4/3, 0.1, z. 0.1, z, 4/3 Let q = -50 + 43. Let p = -6 - -11. Put -1/5, q, p in ascending order. q, -1/5, p Let h = 163 + -156. Put -3, h, -6 in ascending order. -6, -3, h Let y = -7 - -10. Let u = y - 2.8. Suppose 7*t = 2*t + 5. Sort -0.2, t, u. -0.2, u, t Let v(t) = -6*t**2 - t + 1. Let w be v(1). Let p = -11 - w. Let s(u) = -u**2 + 5*u - 3. Let k be s(2). Sort k, 1, p in increasing order. p, 1, k Let o = 22 - 43/2. Sort o, -1/7, -3, -2 in increasing order. -3, -2, -1/7, o Suppose 3*z - 2*d + 2 = 0, -z + 6 = -4*d - 0*d. Put z, 0, 4 in decreasing order. 4, 0, z Let i = 0.43 + -0.93. Sort -5, i, 0.4 in decreasing order. 0.4, i, -5 Suppose -2*b + 2 + 6 = 0. Let m = -93 + 92. Sort 0, b, m in decreasing order. b, 0, m Let s = -3 + 6. Suppose -5*t = -s - 12. Let u be 4*t/30*-5. Put u, 5, 2 in ascending order. u, 2, 5 Suppose -8*h + 15 = -3*h. Let c(j) = 2*j + 3. Let z be c(0). Suppose -x - 4 = -4*x - o, -20 = z*x - 5*o. Sort x, h, -4 in descending order. h, x, -4 Let g be 1/(2/(-24)*-3). Put 5, -5, g in decreasing order. 5, g, -5 Let o = -13 - -13. Put 5, o, -1 in decreasing order. 5, o, -1 Let q be ((-3)/(-9))/(1/15). Suppose -12*v - 2*l - 4 = -16*v, -v - l = -1. Sort v, -3, q in increasing order. -3, v, q Let z = -5 + 8. Let g(h) = h**3 - 3*h**2 + h + 4. Let t be g(2). Sort -1, t, z in decreasing order. z, t, -1 Suppose 0 = -5*y + y - 4*z, -4*y - 5*z - 2 = 0. Suppose 0 = f - y*f - 1. Put 2/3, -4, f in decreasing order. 2/3, f, -4 Let u(g) = 4*g - 3. Let z be u(2). Suppose -3*h + 2*c = 2*h - 31, -c = -z*h + 28. Suppose h = 5*o - 5. Sort o, -4, -3 in descending order. o, -3, -4 Let k be 0*2/(0 + 2). Let v(o) = -o**3 - 28*o**2 - o - 33. Let x be v(-28). Sort k, -2, x. x, -2, k Let i(j) = -j**2 - 7*j + 1. Let k be i(-6). Suppose 3 = 2*u + k. Put 5, u, 0 in increasing order. u, 0, 5 Let y be 15/10 + 38/(-28). Sort y, 0, -5. -5, 0, y Let r = -13.1 - -23.4. Let o = -11 + r. Let u = o + 0.7. Sort u, -5, -3 in increasing order. -5, -3, u Let r = -1 - 3. Let g(o) = -o**2 - 5*o + 1. Let z be g(r). Let h be (-1
{ "pile_set_name": "DM Mathematics" }
1. Let g be m(0). Let h = g - z. What is the units digit of h? 6 Let y = -3 - 1. Let u(w) = -w**3 + 5*w**2 - w**2 + 2*w**3 - 3*w - 3. What is the units digit of u(y)? 9 Suppose q + 4 = 0, 4*q = -3*b - 0*q + 53. Suppose -54 = -3*g - 3*l, -g + 3 + b = 3*l. Let i = -8 + g. What is the units digit of i? 6 Let o = 6 + -8. Suppose 0 = 5*s - 0*q - 4*q - 50, 26 = s - 4*q. What is the units digit of o/s*(-1 - 8)? 3 Suppose 4*m + 3*l + 19 = 0, -5*m - 18 = -2*l - 0*l. Let u = 1 - m. What is the units digit of u? 5 Let y be ((-15)/(-12) + -2)*-4. Suppose y*f - 22 = -5*n, f - 4*n = 3*f - 16. Suppose 5*t - 31 = f. What is the units digit of t? 7 What is the units digit of 5/((12/(-8))/(9/(-6)))? 5 Let v = 11 - 15. Let h = v + 8. Suppose 3*j - 5 = h*a - 2*a, 4*a = j + 15. What is the units digit of a? 5 Suppose -5*t - 48 = -5*c - 3, 5*c = 5. Let l = 10 + t. Let k(x) = 2*x**3 - 2*x**2 - 2*x + 1. What is the units digit of k(l)? 5 Suppose 5*d + 3*c = 2, 5*d - 3 = -4*c + 3. What is the units digit of -3*(d/3 + -2)? 8 Let s(p) = p. What is the units digit of s(5)? 5 Suppose -1 = -4*x + 19. Suppose -4*b + 2*k + 8 = -0*k, x*k + 12 = 2*b. What is the units digit of b? 1 Suppose 0 = -4*j + 116 + 324. What is the units digit of j? 0 Suppose q - 6*q = -2*l + 107, 2*l = 3*q + 117. What is the units digit of l? 6 Suppose v + 2 = -3*p, -2*p + 4 = v - 5*p. Suppose -2*y + y + 7 = 0. Let r = y - v. What is the units digit of r? 6 Let s(a) = a + 1. Let w(d) = 8*d + 7. Let l(n) = -6*s(n) + w(n). Let p be l(1). Suppose p*c = 1 + 2. What is the units digit of c? 1 Let n(k) = 29*k**3 - k. What is the units digit of n(1)? 8 Let t(i) = 51*i**2 + i - 2. What is the units digit of t(1)? 0 Let w(x) = -x. Let h be w(-7). Suppose 2*j + 146 = h*j - k, -k = 5*j - 144. Suppose -3*a = -10 - j. What is the units digit of a? 3 Let k(h) = 2*h + 1. Let p be k(-4). Suppose -z + 22 = -3*z. Let m = p - z. What is the units digit of m? 4 Suppose -5 = -5*g - 0. Let d = 3 - g. Let c = 5 - d. What is the units digit of c? 3 Suppose 3*b - 5*i + 29 = 0, 2*b - 4*i + 5 + 17 = 0. Let p be 6*(b/6 - -1). Suppose -1 + 2 = p*s - m, 2*s + 11 = 3*m. What is the units digit of s? 2 Let r be 0 - 0 - (-87)/3. Suppose -k = -0*w + w - 22, -k = -2*w + r. What is the units digit of w? 7 Let a(b) = -2*b**3 + b**2 + b. Let i be 2/(2 + -1 - 3). What is the units digit of a(i)? 2 Suppose 2*f - 137 = -4*x + 7, 4*x - 4*f = 168. What is the tens digit of x? 3 Let c(t) be the third derivative of t**4/24 - t**2. Let q(b) = 5*b + 2. Let m(w) = 6*c(w) - q(w). What is the units digit of m(8)? 6 Suppose 7*z - 9 = 4*z. Suppose -16 = -5*r + 2*c, -c = -3*r - 6*c - 9. What is the units digit of 7 - (-3*r + z)? 0 Let g = -9 + 0. What is the tens digit of 2/(-9) - 119/g? 1 Suppose -c + 59 = -55. What is the units digit of c? 4 What is the units digit of (-2)/18 + (-26800)/(-225)? 9 Let i = -40 - -111. What is the units digit of i? 1 Suppose -2*d = -87 - 43. Suppose u + 4*w = 40, -2*u - 2*w - 3 = -d. What is the tens digit of u? 2 Suppose 200 = 66*u - 61*u. What is the units digit of u? 0 What is the units digit of (-6)/36 + (-595)/(-6)? 9 Let l(j) = -6*j + 1 + 3 - 3. What is the tens digit of l(-3)? 1 Let t = 56 + -7. Let r = t - 4. What is the tens digit of r? 4 Let j = -12 - 3. Let l = 24 + j. What is the units digit of l? 9 Suppose g + 154 = -g. Let f = -48 - g. What is the tens digit of f? 2 Let w(s) = 2*s + 3. Let d be ((-8)/(-10))/(5/25). Let x be w(d). Let b = 19 - x. What is the units digit of b? 8 Suppose 0*k = k + 4*q - 26, 2*q = -3*k + 28. Suppose 0 = k*p - 2*p + 28. Let u = p + 10. What is the units digit of u? 3 Let p be -15 + -1 + 2 - -2. What is the units digit of (-12)/(-5) + p/(-20)? 3 Let j(h) = -2*h**3 + 2*h**2 - 1. Let y(g) = -2*g**2 - g. Let u be y(-1). Let v be j(u). Suppose 5*n + 5 = 25, 0 = -2*w + v*n - 2. What is the units digit of w? 5 Let t(d) be the first derivative of -d**5/20 - 5*d**4/12 + 2*d**2 + 2*d + 2. Let o(r) be the first derivative of t(r). What is the units digit of o(-5)? 4 Let j be -2 + 0 + 2 + 2. What is the units digit of 22*((-1)/j + 1)? 1 Let m be 9 + -2 + 2 + 3. Suppose -11 = -3*u + 4. Suppose -v + m = 2*s, -u*s + s = -3*v - 4. What is the units digit of s? 4 Let c = 2 - 2. Let v(s) = -s**2 + 7*s - 2. Let k be v(7). Let o = c - k. What is the units digit of o? 2 Suppose -5*b + 5*n - 2*n = -19, 0 = -3*b - 3*n - 3. Suppose 3*k + 2*q = 71, -b*k + 76 = q + 30. What is the tens digit of k? 2 Let z(b) = b**3 - 7*b**2 + 3*b + 9. What is the tens digit of z(7)? 3 Let t = 36 - 26. What is the tens digit of ((-1)/(-1))/(t/250)? 2 Let a(f) = f**2 + 8*f + 6. Let v be a(-7). What is the tens digit of -2 + -1 + v + 16? 1 What is the units digit of -2*(-4 + 295/(-10))? 7 Suppose -4*y - 4 = -3*x, 2*x = -4*y + 2*y + 12. Let v = 1 + y. What is the units digit of v? 3 Suppose -11*p = -6*p - 270. What is the tens digit of p? 5 Let o be (-1)/2 - 267/6. What is the tens digit of (13/3)/((-5)/o)? 3 Suppose i + 61 = y + 2*i, y = 3*i + 65. What is the units digit of y? 2 Let l = -106 + 164. What is the units digit of l? 8 Let s(w) be the first derivative of 33*w**2/2 + w + 2. Let p be s(1). Suppose -5*j - 10 = 0, -7*a - 5*j = -3*a - p. What is the units digit of a? 1 Suppose -3*f = 5 - 23. What is the units digit of f? 6 Let q(c) = -13*c - 15. Let j(u) = 13*u + 13. Let y(b) = -25*b - 25. Let h(p) = 11*j(p) + 6*y(p). Let x(o) = -7*h(o) + 4*q(o). What is the tens digit of x(-9)? 1 Suppose -8*z + 0 = -448. What is the tens digit of z? 5 Suppose q - s = s + 15, -q - 2*s = -11. What is the tens digit of q? 1 Let d = 274 - 191. What is the units digit of d? 3 Let m = 54 - 24. Let p(n) = 6*n**2 + 3*n + 3. Let d be p(-2). Suppose 3*x + a = d, 3*x + 2*a - m = -x. What is the units digit of x? 6 What is the tens digit of 31*2 + (0 - (-4 - -7))? 5 Suppose -3*v - 2*a = 2*v - 3, 0 = -2*v - 5*a - 3. Let s(z) = 14*z**2 + 2*z - 1. What is the units digit of s(v)? 5 Let l(p) = p**2 - 6*p - 3. Let r be l(7). What is the units digit of (40/(-12))/(r/(-6))? 5 Suppose 0*a + b = -a + 8, -1 = a - 2*b. Suppose 4*q - 65 = 3*w, -4*q = a*w - 0*w - 105. Let z = 29 - q. What is the units digit of z? 9 Let k(g) = g - 13. Let o be k(-11). Let b be 16/1 + 1 + -2. What is the units digit of (-6)/10 - o/b? 1 Suppose -5*k - 175 = -10*k. What is the units digit of k? 5 Let x = 3 - -1. What is the units digit of (-18)/x*10/(-3)? 5 Let u be 6/4*(-80)/(-12). Let b = 37 - u. Let h = b - 19. What is the units digit of h? 8 Let g = 9 - 17. Let s be (-378)/36*(1 - (-14)/(-6)). Let n = s + g. What is the units digit of n? 6 Suppose 3*n + 4*v = 33 + 125, n - 51 = -v. Suppose 3*o = -0*y + y - n, 5*y - 230 = 3*o. What is the tens digit of y? 4 Let z be (-30)/(-9)*(-54)/(-15). Suppose 3 + z = 5*o. What is the units digit of o? 3 Let o = -23 - -24. What is the units digit of 40*o - (1 + -3)? 2 Let g = -3 - -5. Suppose -z = -g*z. Suppose z = 2*d + 3*d - 80. What is the units digit of d? 6 Let f(a) = -2*a. Let p be 2/((-4)/(-3) + -2). Let v be 2*p/(-3) + -4. What is the units digit of f(v)? 4 Let z be 2/3 - 1372/(-12). Suppose 6*m - m = z. What is the tens digit of m? 2 Let v(a) = -2*a**3 + 2*a**2 - 1. Let w be v(-1). Suppose w*z = 5*z - 4. Suppose 3*l = h + z*h + 33, -l - h = -3. What is the units digit of l? 7 Let c(v) = -5*v - 4. Let m(p) = -2*p - 1. Let z(o) = 2*c(o) - 7*m(o). Let j be 1*4 - 12/4. What is the units digit of z(j)? 3 Let r be 1/(22/(-10) - -2). Let j = r + 5. Suppose -5*s + j*s = -15. What is the units digit of s? 3 Let o be -2 - (-3 - -2) - 4. Let w be -1 - (0/(-3) + o). Suppose -2 - w = -s. What is the units digit of s? 6 Let r = 2 - 1. Let u(o) = o + 13. Let d be u(-11). What is the units digit of 3*3*(d - r)? 9 What is the units digit of 1 + -1 - (-7 + 0)? 7 Suppose -77 - 367 = -6*h. What is the tens digit of h? 7 What is the units digit of 2/4*-6 + 56? 3 Suppose 5*b + 4*g + 26 = 0, 8*b + 28 = 3*b - 2*g. Let j(l) = -4*l - 1. What is the units digit of j(b)? 3 Let i(j) = -j**2 - 8*j + 12. Let h be i(-9). Suppose -41 = -s - 2*x, 81 + 96 = 5*s + h*x. What is the units digit of s? 3 Let d(b) = -b**3 - 2*b**2 - 3. Let s be d(-3). What is the units digit of 6/2 + 18/s? 6 Let s = 21 - 18. Suppose 4*q - 103 = 3*b, 5 = -4*b + s*b. What is the unit
{ "pile_set_name": "DM Mathematics" }
3*m - 7. Let c = -1 + i. Solve c = -k*f - 4, -f - f - 2 = 2*l for l. 0 Suppose 8*i + 10*i - 90 = 0. Solve -i*k - 35 = -j + 4*j, j + 5 = 0 for k. -4 Let w be ((-4)/(0 + 8))/(2/(-8)). Solve 5*z = -2*y + 22, -w*z + 2*y + y + 5 = 0 for z. 4 Let d be (-2)/(-10) + (-1 - 8/(-10)). Suppose 0 = 4*m + 20, -3*m - 9 = 2*p - d. Solve 4*h = 5*b + 27, -b + 5*h - p = 15 for b. -3 Suppose 12*o = -8*o + 80. Solve 4*i - o = 2*i, 2*u - 4*i = 0 for u. 4 Suppose -3*m + 3*x - 23 = -7*m, -2*m - 5*x = -29. Suppose 5*q - 5*g = -0*g + 10, 0 = 4*q - m*g - 12. Solve -6*i = -5*i + 2*d + 11, q*d + 7 = i for i. -5 Suppose 0 = -3*s - 88 + 184. Suppose -5*r - 15 = -4*f, -3*r - f = -4*f + 12. Let j = 2 + r. Solve -x - 5*h - 7 = 17, -s = j*x + 5*h for x. -4 Let n = -9 - -7. Let u be -3 + (1 - (-20 - n)). Suppose 0*s + 4*s = 0. Solve -3*z + 5*p - u + s = 0, 5*z = 3*p for z. 3 Let l be (270/(-25) + 12)/((-6)/(-15)). Let r = 8 - 5. Suppose 1 + 14 = r*q. Solve -q*i + 19 = -3*b, l*i + 3 = -3*b - 0 for b. -3 Let n be 78/(-65)*(-30)/4 - 7. Solve n*o = 3*y - 7, -5*y + 6*o + 1 = 8*o for y. 1 Let i = -50 - -53. Solve 3*s - 4*x - 16 = 0, -i*s - 5*x - 20 = 2*s for s. 0 Let d be (1 - -2) + (-1 - -2). Suppose 0 = d*l - 7*l. Suppose -33*z + 26*z = -112. Solve -3*r - 17 = a, 0 = 4*r - 2*a - l*a + z for r. -5 Suppose 4*d + d - 3*g = 252, 4*d - 4*g = 208. Suppose 4*f + d = -0. Let j(q) = -2*q - 21. Let p be j(f). Solve -22 = 5*x + 3*i + p, -x + 2*i = -8 for x. -2 Let y(g) = -g**3 + 3*g**2 + 12*g - 2. Let k(x) = -x**3 + 17*x**2 - 16*x + 5. Let l be k(16). Let a be y(l). Solve 0 = 2*b - 3*d + a, -4*b - 4*d = -2*d for b. -1 Let l(r) = 2*r - 5. Let w be l(3). Solve 7 = 3*z + 4*b, 3*z - 2*b + 0*b = w for z. 1 Suppose -6 = -r - n, -2*n = 3*r - 4*n + 2. Solve 5*s = -0*l - l + 16, -5*s - r*l + 17 = 0 for s. 3 Suppose -5*u = -w + 6 - 18, 0 = 4*u - 12. Solve 0 = 2*g + l - 7, -w*l + 15 = -0*l for g. 1 Let l(x) = -x**3 - 17*x**2 - 2*x - 20. Let h be l(-17). Suppose h = -r + 16. Solve 4*j = -r*o - 20, -3*j + 9 = o + 22 for o. -4 Suppose 7*k - 8 = 20. Solve -36 = -k*v + 5*o, o - 3*o = 5*v - 12 for v. 4 Suppose -11 = -3*z - 7*a + 12*a, 5*a = -2*z - 1. Solve -3*t = 3*y + 12, 3*t + 4 = -z*y - 7 for t. -3 Let c be -7 - (-3 + -1) - -5. Suppose 4*g = -c + 14. Solve -2*i + g = 2*v - v, 2*v - 5*i - 15 = 0 for v. 5 Suppose -2*j = 10, 12*m - 15*m + 2*j = -31. Solve 11 = 5*u - 4*h, 4*u - m = 5*h + 9 for u. -1 Let j(m) be the second derivative of m**3/2 - m**2 + 6*m. Let b be j(-4). Let q be 1 + 1 - (12 + b). Solve -q*g - 6 = 5*p - 16, -2*g + 10 = 5*p for p. 2 Suppose -5 = 2*g + s, -5*g - 2 - 6 = -2*s. Let z be (3 + -2)*(g - -2). Let c(y) = -y - 5. Let v be c(-7). Solve v*m = 3*f + 13, 0 = -5*m - z*m + f for m. -1 Let y(x) = x + 9. Let z be y(-5). Let k(m) = m**2 - 9*m - 2. Let d be k(10). Let v be 14/6 - d/24. Solve -h - z*h = s - 15, -4*h = -2*s + v for h. 2 Suppose 0 = -5*x - 7*x + 96. Let k(g) = -14*g - 2. Let v be k(-3). Suppose -x*r + v = -3*r. Solve -5*o - r = -2*c, 8 = c + c - o for c. 4 Suppose -4*o = -4*m + 20, 2*o - m - 8 = -13. Solve o = z, -z + 1 = -2*r - 9 for r. -5 Let r(p) = -p**3 - 15*p**2 + 7*p + 110. Let g be r(-15). Solve -3*w + 13 = -2*i, -3*w = -g*i - 4*w - 7 for i. -2 Let y(x) = -15*x**2 - 3*x - 1. Let d be y(-1). Let h be (d/((-273)/36))/(4/14). Solve -24 = -3*i + 3*w, -w - w = h for i. 5 Let n = 4 + -4. Let k = 4 + n. Solve -w = -3*d + 11, 0 = k*w + 3*d + 2*d + 10 for w. -5 Suppose -4 = 3*p - p. Let t be (-6)/(-12) - p/(-4). Let x be 2*(3 - 2) - t. Solve -3*y + x*d + 6 = -d, -4*d = -y + 8 for y. 0 Let u(j) = 3*j**2 - 8*j + 3. Let o be u(7). Let d = o - 62. Let r = d + -29. Solve 20 = 5*f + r*w - 12, -4*w = -16 for f. 4 Suppose -4*z = -5*z. Solve -5*a + 5 = -5*m, -3*a - m + 0 - 1 = z for a. 0 Suppose 265 = 6*t + 247. Solve 2*q + 2 - t = -f, 0 = 5*q - f + 1 for q. 0 Let d = 3 + 9. Suppose -2*i + d*i - 30 = 0. Solve i*x - x = 3*b + 7, -4*x = 4*b + 36 for b. -5 Let x = 55 - 52. Suppose 0 = -4*c - 5*y, 3*c + 4*y = -0 - 1. Solve b = 3*f + c + 10, 4*f = -x*b - 7 for f. -4 Let w = -40 + 39. Let p(s) = 26*s**2 - 5*s - 3. Let b be p(w). Solve b = -4*r + 4*c, r - 2*c - 4 = -15 for r. -3 Suppose 3*b + 8*b = 22. Solve -4*q + w - 9 = 0, 26 = q - b*q + 5*w for q. -1 Let p = -332 - -338. Solve 12 = -p*c + 5*c + 3*y, 6 = 3*c + 5*y for c. -3 Let f(w) = 8*w**2. Let g be f(1). Let n be 20/g + (-2)/(-4). Solve 3*k + 2*s + 18 = 0, 5*s + 5 = n*k + 2 for k. -4 Suppose 0 = 11*n - 85*n. Solve 5*y - f - 2*f + 4 = n, -4*y = -2*f + 2 for y. 1 Suppose -27*b + 9 = 9. Solve 2*c + 0*o + 11 = 5*o, 2*c - 4*o + 8 = b for c. 2 Suppose -r - 4*r = -55. Let i = -34 + 35. Suppose b - i = r. Solve 3*w + 5 = 5*c, -4*c + b = -c for w. 5 Let s(b) = -2*b - 1. Let v be s(1). Suppose 0*t = -12*t - 36. Let p be (-21 - v)/t - 4. Solve -p*i = 6, -x - 2*x + i = -12 for x. 3 Suppose r = 5*r - 4*s + 12, 5 = -5*r + 3*s. Solve g = r*i + 2, 2*i + g = -3*g - 2 for i. -1 Suppose 9 = 16*k - 7. Solve 0*y - 5*m = 4*y + 32, m + k = y for y. -3 Suppose -8*p - 9*p = 0. Solve -v + 3*v = -5*i - 9, p = v - 3*i - 12 for v. 3 Let g(d) = d**2 - 5*d + 10. Let c be g(2). Solve 5*f + 3*m + 6 = -0*m, 0 = 3*f - c*m + 21 for f. -3 Let c(u) = u**3 - 10*u**2 + 10*u - 7. Let j be c(9). Solve 1 = -j*m + 3*n, -n - 12 - 1 = -4*m for m. 4 Suppose 7*t + 4*t = 0. Solve 0 = 4*n - t - 4, 3*n = -v for v. -3 Let z(p) = 10*p - 40. Let l be z(4). Solve l = 4*i - i + 12, 4*v - 3*i - 32 = 0 for v. 5 Let v(a) = -4*a - 28. Let o be v(-7). Suppose 2*f - 4 - 2 = o. Solve 3*w + 3 = y, -3*w + 3 = f*y + 6 for y. 0 Let z(i) = -12*i + 137. Let m be z(10). Solve 3*l + 2*l + 27 = -j, -5*l - m = -4*j for l. -5 Let p = -19 - -22. Suppose 5*r = p + 7. Solve -5*h - r*m = 19, -3*h = -3*m + 5 + 19 for h. -5 Suppose -4 = 3*d - 22. Let p = 10 - d. Suppose -p*x - x = -10. Solve -x*g - 6 = -j - 2, 5*j = 3*g - 1 for g. -3 Let w(d) = 6*d**2 + 2*d + 1. Let p be w(-1). Let k(t) = -t - 1. Let i be k(p). Let l be i*(-2 + 12/8). Solve -l*u = u - 2*m - 30, -5*m = 25 for u. 5 Let d be (-120)/(-2) - ((5 - 7) + 5). Suppose 5*f = 8*f - d. Solve 2*x + 3*v + f = -2*x, 0 = 4*v + 4 for x. -4 Suppose -6*w + 7*w = 4. Let y = 39 - 38. Let b be (-2)/(-1) - (-1 - y). Solve -g - 14 = -3*j, 3*g = -j + b + w for j. 5 Let a = 1830 + -1820. Solve -4 = 4*z - 2*u, 4*u = 3*z + 6*u + a for z. -2 Suppose -24 = -2*y - 2*a, -3*y + 3*a = y - 20. Let m = 7 - 8. Let b be -6*(1/(-2) + m). Solve q + y = 2*d, 2 = -q + 3*d - b for q. -2 Let y be ((-44)/10 + 5)*5. Solve y*w + w = 4*x, x + 8 = 5*w for w. 2 Let r = 271 - 268. Solve 0 = -o + 4*c + 1, -o + r = -4*c + 2*c for o. 5 Suppose -2*m = 4*h - 90, -h + 5*h + m = 89. Solve b + h = 11*z - 15*z, 4*z - b = -18 for z. -5 Let w(f) = -31*f + 97. Let t be w(3). Solve 4*i + t*c + 24 = 2*c, 0 = -i - 5*c - 24 for i. -4 Let f be 8 - (6 - (8 - 5)). Solve -x - 13 = m - 4*m, f*m = 15 for x. -4 Let f(a) = 43*a**2 - 5*a + 3. Let m be f(1). Let v = m + -36. Suppose -i = -6 - 1. Solve -5*b + 19 = 2*j, b + 0*b + i = v*j for j. 2 Let q(x) = -x + 11. Let a(p) = 6*p + 5. Let v be a(-2). Let u be 18*(v/(-2) - 3). Let i be q(u). Solve 1 = 5*y + g, 0*y - i = y - 2*g for y. 0 Let m(b) = -51*b - 1. Let r be m(-1). Let x = 22 - r. Let o = -22 - x. Solve -5*s = -f + o - 1, -3*f - 23 = 4*s for s. -2 Let v be -6 - -8 - (0 - -3). Let s be 1*(v + -1 + 4). Solve -3*x + 2*x + 15 = -5*d, s*d = -5*x - 33 for x. -5 Let v be (-247)/4 - (-12)/(-48). Let g = -57 - v. Solve -8 = -2*k + 2*p, -28 = 4*k - k + g*p for k. -1 Let k(z) = -14 + 43 - 10 + 2*z - 9. Let r be k(-5). Solve -3*p = r, 0*i + 3*p = -3*i for i. 0 Suppose -a - 117 = -119. Solve 0 = -4*w + 3*d, 0*d = -a*d + 8 for w. 3 Suppose 9*c - 5*g = 14*c - 130, 134 = 5*c + g. Suppose -c*i = -23*i - 40. Solve 0 = 3*h + k + 15, k + i = -2*h + 3*k for h. -5 Suppose 3*d - 16 = h - 2*d, 4*d - 16 = 0. Solve 2 = -h*q + 3*b - 6, 3*q + 2*b = -6 for q. -2 Suppose y + 6 = 4*m, -93 = -m - 91. Solve -k - 2 = 4*c, y*k - 1 = c - 5 for c. 0 Suppose 5*k - 7 - 3 = 0. Suppose 3*o - 14 + 3 = a, -o + 5 = a. Solve o*g = 2*g - 4*v - 4, -3*g + 2 = k*v for g. 2 Let j(a) = 18*a + 1. Let m be j(1). Let r be (4 - 7) + (1 + m)/2. Suppose 3*z - 4*z - 13 = 5*f, f + 13 = 5*z. Solve 2*k = 2*n - 2, 17 = -r*k + z*k + n for k. -4 Let h = -81 + 85. Solve 0*r + r - h*d + 6 = 0, d - 10 = -4*r for r. 2 Let z = -14 - -14.
{ "pile_set_name": "DM Mathematics" }
2. What is -5*j(v) - 3*r(v)? -2*v**2 + 2*v Let p(i) = 3*i + 8. Let l(n) = n + 3. Calculate -8*l(o) + 3*p(o). o Let z(t) = -7*t**3 + t**2 - 4*t - 1. Let b(m) be the first derivative of -2*m**4 + m**3/3 - 5*m**2/2 - m + 12. Determine 4*b(u) - 5*z(u). 3*u**3 - u**2 + 1 Let v(h) = -h**2 + h - 1. Let n = -8 - -3. Suppose 10*f - 1 = 9. Let a(o) = -o**3 - 3*o**2 + 4*o - 5. Determine f*a(i) + n*v(i). -i**3 + 2*i**2 - i Let p(o) = -9*o - 5. Let k(l) = 4*l + 4. Let t(s) = 3*s + 3. Let w(g) = -2*k(g) + 3*t(g). Give -p(h) - 5*w(h). 4*h Let d(x) = -x + 1. Let j(g) = -2*g + 3. Calculate -3*d(q) + j(q). q Suppose 0*u = u + 5*z + 2, -2*z = u - 1. Let g(y) = 0 - 5 + 7 - 3*y + 0. Let t(x) = -4*x + 3. What is u*g(q) - 2*t(q)? -q Let m(y) = 1. Let p(z) = -2*z - 8. Let f(k) = 10*k + 33. Let a(s) = -2*f(s) - 9*p(s). Determine -a(d) + 8*m(d). 2*d + 2 Let n(j) = -j**3 - 21*j**2 + 47*j + 25. Let y be n(-23). Let v(f) = -10*f - 5. Let p(t) = -2*t - 1. Determine y*v(s) - 11*p(s). 2*s + 1 Let k(p) = -5*p**2 + 2*p + 2. Let j(u) = -2*u**2 + u + 1. Let c = 41 + -48. Calculate c*j(f) + 3*k(f). -f**2 - f - 1 Let a(g) = g**2 + 3*g + 3. Let z(s) be the third derivative of s**5/30 + 7*s**4/24 + 7*s**3/6 + 2*s**2 + s. Let x be (3/4)/((-1)/4). Determine x*z(p) + 7*a(p). p**2 Let j(h) = -h**3 + 5*h**2 - 5*h + 6. Let m be j(4). Let t(l) = 1 + 0*l - m*l**2 + 0*l. Let d(i) = 1 - 8*i**2 + 3 + 4*i - 4*i. What is -2*d(v) + 9*t(v)? -2*v**2 + 1 Let m(k) be the first derivative of 2 - 1/2*k**2 + 0*k. Let o be (2 - -2)*(-1)/(-4). Let p(n) = -n**2 + 6*n + 1. Calculate o*p(d) + 6*m(d). -d**2 + 1 Let m(t) = 5*t**2 + 2*t + 3. Let a(f) = f**3 - 4*f**2 + 2. Let q be a(4). Let o(r) = 1 + r**q - r + 2*r + 0*r. What is m(s) - 3*o(s)? 2*s**2 - s Let o(l) = 7*l**2 - 4*l - 4. Let z(k) = -6*k**2 + 3*k + 3. Calculate -3*o(h) - 4*z(h). 3*h**2 Let b(u) = u**2 - 4*u - 3. Let k be 8/4 - (-3 + -16). Suppose 3*y - 3*t + 17 = 2*t, 4*y = 5*t - k. Let r(g) = -3*g**2 + 11*g + 8. Determine y*r(v) - 11*b(v). v**2 + 1 Let u(g) = 3*g**2 - g. Let w(a) = -4*a**2 + a. What is -5*u(c) - 4*w(c)? c**2 + c Let q(l) be the second derivative of l**2 + l + 1/12*l**4 + 1/2*l**3 + 0. Let y(z) = 5*z**2 + 16*z + 11. What is -11*q(d) + 2*y(d)? -d**2 - d Let g(s) = 19*s**3 + 7*s**2 - 11*s. Let u(c) = 10*c**3 + 4*c**2 - 6*c. Determine 4*g(x) - 7*u(x). 6*x**3 - 2*x Let d = -3 + -2. Let a(g) = -2*g - 6. Let m be (-4)/40 - (-61)/10. Let q(b) = -2*b - 5. What is d*a(i) + m*q(i)? -2*i Let v(f) = f**2 - 4. Suppose -4*c - 5*z + 2 = -3*z, -15 = -3*z. Let k(x) be the third derivative of -x**5/12 + 17*x**3/6 + 6*x**2. What is c*k(m) - 9*v(m)? m**2 + 2 Let l(g) be the second derivative of -3*g**5/20 + 5*g**3/6 - 29*g. Let f(o) = -4*o**3 + 8*o. What is -5*f(u) + 8*l(u)? -4*u**3 Let p(q) = 56*q**3 + 5*q**2 - 5*q - 3. Let d(j) = j**3 + j**2 - j - 1. Determine 5*d(h) - p(h). -51*h**3 - 2 Let x(s) = 14*s + 1. Let r(z) = -1. Calculate 4*r(a) + x(a). 14*a - 3 Let a(n) be the third derivative of -n**4/6 - 5*n**3/6 + 4*n**2. Let j(z) = 5*z + 6. Calculate 6*a(k) + 5*j(k). k Let j(c) = 21*c**3 + 10*c + 21. Let n(l) be the first derivative of -l**4 - l**2 - 4*l - 13. What is 2*j(s) + 11*n(s)? -2*s**3 - 2*s - 2 Let y(v) be the first derivative of 4*v**2 - 10*v - 4. Let u(h) = h - 1. Let c = 7 - 8. Let a be -3 + (c + 8)/(-1). Give a*u(r) + y(r). -2*r Let j = -169 + 168. Let z(t) = t + t**2 + 2*t**3 + t - 5 + 2*t**2. Let k(i) = -i**3 - i**2 - i + 1. Determine j*z(d) - 3*k(d). d**3 + d + 2 Let y(u) = -5*u**3 - u**2 + 2. Let k(l) = -9*l**3 - 3*l**2 + 5. Calculate -2*k(n) + 5*y(n). -7*n**3 + n**2 Let s(k) = -157*k - 13. Let q(p) = 39*p + 3. Give -9*q(z) - 2*s(z). -37*z - 1 Let v(i) = -19*i**3 - 4*i**2 - 4*i - 2. Let k(c) = -c**3 - c**2 - c - 1. Determine 3*k(z) - v(z). 16*z**3 + z**2 + z - 1 Let q(s) = 3*s**2 + 2*s. Let b(l) = 5*l**2 + 4*l. Let u(k) = 4*b(k) - 7*q(k). Let w(t) = -2*t**2 + 5*t. Give 5*u(x) - 2*w(x). -x**2 Let a = -2 - -5. Let w(s) be the first derivative of a*s + 0*s + s**2 + 2*s - 1. Let x(f) = 2*f + 4. Give -3*w(v) + 4*x(v). 2*v + 1 Let v(z) = -2*z**3 + z**2 - 3*z - 1. Let n(c) = c**3 - c**2 + 2*c + 1. What is -3*n(s) - 2*v(s)? s**3 + s**2 - 1 Let l(w) = -40*w**2 - 16*w + 16. Let k(g) = -8*g**2 - 3*g + 3. Give 16*k(n) - 3*l(n). -8*n**2 Let o(b) = -b**3 + 5*b**2 - 5*b + 5. Let p(x) = 4*x. Let y be p(1). Suppose -2*i - y*t = i + 23, i - 4*t - 3 = 0. Let h(d) = d**2 - d + 1. Give i*h(s) + o(s). -s**3 Let k(f) = 9*f + 2. Let a(q) = 18*q + 4. Determine -2*a(t) + 5*k(t). 9*t + 2 Let i(w) = -15*w - 18. Let b = 5 + 13. Let r(a) = a + 1. Determine b*r(n) + i(n). 3*n Let y(u) = -3*u + 4. Let c = 8 - 6. Let s(j) = 5*j - 18. Let z(q) = -3*q + 9. Let m(f) = 4*s(f) + 9*z(f). What is c*m(l) - 5*y(l)? l - 2 Let c(s) = 4*s**2 - 6*s - 38. Let i(g) = -3*g**2 + 5*g + 37. Calculate -4*c(t) - 5*i(t). -t**2 - t - 33 Let k = 49 + -60. Let m(w) = -20*w + 5. Let f(v) = 19*v - 5. Let d(n) = -6*f(n) - 5*m(n). Let x(q) = -5*q + 2. Determine k*x(l) + 4*d(l). -l - 2 Let u be (1 - 0)/(7/14). Suppose -3*r = -u*r + 1. Let v(o) = -o**2 - o - 1. Let n(g) = -7*g**2 - 6*g - 5. What is r*n(a) + 5*v(a)? 2*a**2 + a Let z(o) = 9*o**3 - 9*o**2 + 9*o - 7. Let f(w) = -2 + 0 + 5*w**3 + 6*w - w - 2 - 5*w**2. Let m = -20 - -13. Calculate m*f(i) + 4*z(i). i**3 - i**2 + i Let r(l) = -8*l**3 - 6*l**2 - 7*l - 5. Let o(a) be the third derivative of 0 + 1/4*a**4 + 0*a + 2/3*a**3 + 1/12*a**5 + 7/120*a**6 - a**2. Give 6*o(i) + 5*r(i). 2*i**3 + i - 1 Let o(k) = 5*k**3 + 3*k**2 + 2. Let r(a) = -9*a**3 - 5*a**2 - 4. Let q(m) = m**2 - 4*m - 16. Let d be q(5). What is d*o(g) - 6*r(g)? -g**3 - 3*g**2 + 2 Let p(i) = 27*i**2 - 9*i - 12. Let z(u) = u**2 - u - 1. What is p(m) - 12*z(m)? 15*m**2 + 3*m Let x(r) = -r - 1. Let d(b) = 4*b - 2. Give -d(c) + 3*x(c). -7*c - 1 Let m(v) = -4*v**3 + 2*v**2 - 6. Let g(r) = -5*r**3 + 3*r**2 - 6. Give -2*g(j) + 3*m(j). -2*j**3 - 6 Let j(o) = -o - 1. Let y(t) = -7*t - 6. Let d(p) = p**3 + 15*p**2 + 15*p + 9. Let l be d(-14). Give l*j(m) + y(m). -2*m - 1 Let p(x) = 3*x**2 + 3*x. Let d(r) = -r. Suppose 3 = -5*z - 2. Let n be -3 - 0 - (6 - 6). Give n*d(v) + z*p(v). -3*v**2 Let c(b) = -9*b**3 - 2*b**2 - 8*b. Let d(y) = y**3 + y**2 + y. What is -c(p) - 6*d(p)? 3*p**3 - 4*p**2 + 2*p Let p(l) = l - 1. Let y(u) = -14*u**2 + 2*u - 2. Determine -2*p(z) + y(z). -14*z**2 Let b(a) = -a**3 - 1. Let i(j) = -2*j + 9. Let n be i(4). Let r(x) = -x**3. Give n*r(h) + b(h). -2*h**3 - 1 Let y(t) = t - 1. Let f(r) = 6. Let p(b) = -6. Let j(s) = -6*f(s) - 5*p(s). Calculate j(k) - y(k). -k - 5 Let a(j) be the third derivative of -7*j**5/60 - 5*j**4/24 - j**2. Let v(o) be the third derivative of o**5/60 + o**4/24 - 3*o**2. What is a(x) + 5*v(x)? -2*x**2 Let b(f) = 3*f + 4. Let z = -1516 - -1520. Let x(a) = a - 1. Let i(q) = 8*q - 3. Let r = 9 + -3. Let h(c) = r*x(c) - i(c). Determine z*b(l) + 5*h(l). 2*l + 1 Let h(l) = -l + 3*l + 2 - l. Let p(q) = q - 1. Determine -h(k) - 2*p(k). -3*k Let t(z) = -z**3 + 2*z**2 + 5*z. Let i(k) = -2*k**3 + 3*k**2 + 9*k. Calculate -3*i(c) + 5*t(c). c**3 + c**2 - 2*c Let k(z) = -z**2 + 3*z + 3. Let p(g) = 4*g + 4. Let t(h) = 9*h + 9. Let f(m) = 7*p(m) - 3*t(m). Let r(y) = -y**2 - 8*y - 9. Let a be r(-6). Give a*f(c) - k(c). c**2 Let r(m) = -9*m**3 + 5*m**2 + m - 5. Let u(y) = 13*y**3 - 7*y**2 - y + 7. Let d be (-5 + (-15)/(-10))*2. What is d*r(v) - 5*u(v)? -2*v**3 - 2*v Let n(d) = -3*d**3 + 3*d**2 + 7. Let h(g) = -g**3 + g**2 + 3. Let j(t) = -t**2 + 21*t - 5. Let u be j(21). What is u*h(m) + 2*n(m)? -m**3 + m**2 - 1 Let c(k) = 4*k + 5. Let i = 8 + -10. Let q(x) = 1. Let t(y) = y - 5. Let u(n) = -6*q(n) - t(n). Calculate i*c(h) - 10*u(h). 2*h Let o(q) = q**3 - 3*q**2 + 2*q - 3. Let f(n) = -4*n**3 + 14*n**2 - 10*n + 14. Give 6*f(c) + 28*o(c). 4*c**3 - 4*c Let p(j) = 4*j. Let t(v) = v**3 - 4*v**2 + 3*v - 1. Let l be t(3). Let q(d) = -d. Let r(h) = 3*h. Let f(x) = -8*q(x) - 3*r(x). Give l*p(g) - 5*f(g). g Let u(t) be the third derivative of t**3/2 - 4*t**2. Let k(g) = g**2 - 7*g + 3. Let a be k(7). Let h(r) = -r + 1. Calculate a*h(f) - u(f). -3*f Suppose -54 = 81*z - 72*z. Let j(g) = 0 + 0 - 11*g**3. Let n(i) = 5*i**3. What is z*j(x) - 13*n(x)? x**3 Let g(h) = 3*h**2 + 7*h + 4. Let m(d) = -2*d**2 - 8*d - 3. What is 5*g(p) + 6*m(p)? 3*p**2 - 13*p + 2 Let v(b) = -b + 1. L
{ "pile_set_name": "DM Mathematics" }
cked without replacement from jjqqjqqrqbqjqqbj. Give prob of picking 1 j and 1 r. 1/24 Calculate prob of picking 3 j when three letters picked without replacement from dmmmbmbdjjmmmdjbmmmr. 1/1140 What is prob of picking 1 k and 2 a when three letters picked without replacement from lhakllaalh? 1/40 Four letters picked without replacement from {o: 3, d: 3, z: 5, w: 1}. What is prob of picking 2 z and 2 o? 2/33 What is prob of picking 2 q when two letters picked without replacement from {j: 4, q: 15}? 35/57 Three letters picked without replacement from perppegierrgn. What is prob of picking 2 e and 1 r? 9/286 Three letters picked without replacement from {n: 1, z: 1, o: 3, k: 2}. What is prob of picking 1 o, 1 k, and 1 z? 6/35 Four letters picked without replacement from {e: 3, h: 2, l: 3, k: 2, g: 5}. What is prob of picking 1 l, 1 h, and 2 e? 6/455 Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {d: 4, z: 1, p: 1, f: 1, n: 1}. 1/28 Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, k: 7, p: 1, d: 2, u: 6}. 1/153 Four letters picked without replacement from ooocdoococooooo. Give prob of picking 1 d, 1 o, and 2 c. 11/455 What is prob of picking 4 m when four letters picked without replacement from mmjmkmjkllkhhmlj? 1/364 Four letters picked without replacement from {c: 6, f: 1, y: 4, d: 2}. Give prob of picking 4 y. 1/715 Four letters picked without replacement from prprrp. Give prob of picking 2 r and 2 p. 3/5 What is prob of picking 2 e, 1 z, and 1 o when four letters picked without replacement from {o: 6, e: 2, g: 1, z: 3}? 2/55 Four letters picked without replacement from kpckkjb. Give prob of picking 2 k and 2 c. 0 Four letters picked without replacement from zzzzzbbbzzzzbz. What is prob of picking 4 b? 1/1001 Calculate prob of picking 1 n and 2 q when three letters picked without replacement from {n: 11, k: 1, q: 5}. 11/68 Four letters picked without replacement from xxmxxhxmmmxsqhxxhx. What is prob of picking 2 m, 1 x, and 1 q? 3/170 What is prob of picking 1 o and 2 b when three letters picked without replacement from {o: 2, b: 4}? 3/5 What is prob of picking 2 m and 1 i when three letters picked without replacement from omixmxxfxoxxxofxaxfa? 1/1140 Four letters picked without replacement from fifffffiifff. Give prob of picking 3 f and 1 i. 28/55 Two letters picked without replacement from vvvjj. What is prob of picking 2 v? 3/10 What is prob of picking 1 h and 2 c when three letters picked without replacement from {k: 6, h: 7, c: 2}? 1/65 What is prob of picking 1 o and 1 x when two letters picked without replacement from {b: 1, l: 1, k: 1, x: 3, o: 1}? 1/7 Three letters picked without replacement from qgqqqqqgggqqgqgqqq. What is prob of picking 2 g and 1 q? 15/68 Two letters picked without replacement from {d: 6, a: 1, g: 6, n: 3, m: 3, q: 1}. What is prob of picking 2 m? 3/190 What is prob of picking 1 d and 3 w when four letters picked without replacement from {d: 11, w: 2}? 0 Two letters picked without replacement from {y: 3, x: 1}. What is prob of picking 1 y and 1 x? 1/2 Three letters picked without replacement from {v: 3, p: 1, g: 9, s: 6}. What is prob of picking 1 v and 2 g? 36/323 Three letters picked without replacement from ozonzozzz. What is prob of picking 1 n and 2 o? 1/28 Calculate prob of picking 2 o and 2 q when four letters picked without replacement from qqooqo. 3/5 Calculate prob of picking 2 k and 2 r when four letters picked without replacement from {r: 5, k: 8}. 56/143 Three letters picked without replacement from {q: 7, p: 1, m: 6}. What is prob of picking 1 p and 2 q? 3/52 Three letters picked without replacement from wwiwwwwwwwww. Give prob of picking 1 i and 2 w. 1/4 Two letters picked without replacement from {e: 1, r: 3, d: 1, a: 1, k: 1}. What is prob of picking 1 e and 1 a? 1/21 Calculate prob of picking 1 k, 2 f, and 1 g when four letters picked without replacement from gggfgffdfffkf. 84/715 Three letters picked without replacement from vtwwcgt. Give prob of picking 1 v, 1 g, and 1 t. 2/35 Calculate prob of picking 1 n, 1 b, and 1 s when three letters picked without replacement from {n: 5, b: 8, c: 4, s: 2}. 80/969 Three letters picked without replacement from vszihsjh. Give prob of picking 1 h, 1 z, and 1 i. 1/28 Calculate prob of picking 1 a and 1 d when two letters picked without replacement from dddldaaddddddd. 22/91 Calculate prob of picking 2 o and 2 l when four letters picked without replacement from {o: 5, q: 3, l: 1}. 0 Two letters picked without replacement from xxxv. Give prob of picking 2 x. 1/2 What is prob of picking 1 j and 1 u when two letters picked without replacement from jteutxxxtyjjtjtety? 4/153 What is prob of picking 3 h and 1 p when four letters picked without replacement from {v: 2, h: 4, p: 1}? 4/35 Three letters picked without replacement from {e: 3, h: 3}. Give prob of picking 2 e and 1 h. 9/20 What is prob of picking 1 q and 1 d when two letters picked without replacement from {q: 1, d: 1, i: 1}? 1/3 Calculate prob of picking 4 g when four letters picked without replacement from {y: 5, k: 1, g: 11}. 33/238 Calculate prob of picking 1 u and 1 k when two letters picked without replacement from {u: 4, v: 5, k: 1, r: 4, s: 3, m: 1}. 4/153 Two letters picked without replacement from {l: 11, j: 2}. What is prob of picking 2 j? 1/78 Three letters picked without replacement from {d: 4, t: 4, c: 1, a: 7, h: 2, s: 2}. What is prob of picking 1 s and 2 t? 1/95 Two letters picked without replacement from ggggghgggggggggggg. What is prob of picking 2 g? 8/9 What is prob of picking 1 q and 1 i when two letters picked without replacement from {i: 1, q: 5, d: 3}? 5/36 Calculate prob of picking 1 l and 1 j when two letters picked without replacement from {n: 5, x: 2, l: 1, j: 2, b: 5, a: 1}. 1/60 What is prob of picking 1 s and 1 n when two letters picked without replacement from nnnsnsn? 10/21 Two letters picked without replacement from {q: 4, s: 2, y: 7, l: 3, c: 1}. Give prob of picking 1 y and 1 l. 21/136 Three letters picked without replacement from kkkkkkkkkkkkkmmkkk. What is prob of picking 1 m and 2 k? 5/17 What is prob of picking 2 k when two letters picked without replacement from {h: 4, b: 3, k: 4, o: 6}? 3/68 Three letters picked without replacement from ggeb. Give prob of picking 1 b and 2 g. 1/4 What is prob of picking 1 a and 1 d when two letters picked without replacement from {a: 2, d: 1, i: 5, k: 1}? 1/18 What is prob of picking 1 l, 2 o, and 1 d when four letters picked without replacement from ztoyooylloooltd? 3/91 What is prob of picking 4 g when four letters picked without replacement from ccgggggcggcgc? 14/143 What is prob of picking 1 s and 2 l when three letters picked without replacement from lsssstskltkls? 9/143 Two letters picked without replacement from {h: 1, c: 1, d: 11}. Give prob of picking 1 c and 1 h. 1/78 Calculate prob of picking 3 s when three letters picked without replacement from sxsssssssxssxsss. 143/280 Three letters picked without replacement from rysssssayk. Give prob of picking 1 s and 2 y. 1/24 What is prob of picking 1 p, 1 i, and 2 d when four letters picked without replacement from {p: 1, o: 2, b: 3, i: 5, d: 3, s: 1}? 1/91 Four letters picked without replacement from {y: 2, b: 9}. Give prob of picking 2 y and 2 b. 6/55 Calculate prob of picking 1 q and 2 p when three letters picked without replacement from {y: 1, q: 3, p: 3}. 9/35 Two letters picked without replacement from {z: 3, o: 4, t: 1}. Give prob of picking 1 z and 1 t. 3/28 Two letters picked without replacement from {p: 5, j: 11, c: 1}. What is prob of picking 1 j and 1 c? 11/136 Four letters picked without replacement from {m: 3, x: 10, p: 3, s: 3}. What is prob of picking 1 m, 2 s, and 1 p? 9/1292 Three letters picked without replacement from zbblzzbb. Give prob of picking 1 b, 1 l, and 1 z. 3/14 Four letters picked without replacement from {j: 9, v: 9}. What is prob of picking 3 j and 1 v? 21/85 Two letters picked without replacement from qgggqivisssssggggg. What is prob of picking 1 g and 1 s? 40/153 Two letters picked without replacement from {h: 4, b: 3}. What is prob of picking 1 b and 1 h? 4/7 Thr
{ "pile_set_name": "DM Mathematics" }
of 419, 829, 1235, 1637, 2035, 2429? -2*m**2 + 416*m + 5 What is the i'th term of 252, 249, 236, 207, 156? -i**3 + i**2 + i + 251 What is the h'th term of -537, -538, -539? -h - 536 What is the q'th term of 3, -1, -7, -15, -25? -q**2 - q + 5 What is the d'th term of -85, -77, -67, -55, -41, -25? d**2 + 5*d - 91 What is the p'th term of 42, 69, 94, 117, 138? -p**2 + 30*p + 13 What is the a'th term of -1312, -2624, -3936, -5248, -6560, -7872? -1312*a What is the f'th term of -166, -154, -142, -130? 12*f - 178 What is the l'th term of -29, -288, -981, -2324, -4533, -7824, -12413? -36*l**3 - l**2 - 4*l + 12 What is the w'th term of -14, -31, -64, -119, -202, -319, -476? -w**3 - 2*w**2 - 4*w - 7 What is the i'th term of -60, -120, -178, -234, -288, -340? i**2 - 63*i + 2 What is the o'th term of 2631, 2632, 2633, 2634, 2635, 2636? o + 2630 What is the d'th term of -33, -56, -103, -186, -317? -2*d**3 - 9*d - 22 What is the b'th term of 204, 797, 1784, 3159, 4916, 7049, 9552, 12419? -b**3 + 203*b**2 - 9*b + 11 What is the h'th term of -1, 11, 33, 71, 131, 219, 341, 503? h**3 - h**2 + 8*h - 9 What is the q'th term of -609, -593, -577, -561, -545? 16*q - 625 What is the x'th term of -23, -13, 7, 43, 101? x**3 - x**2 + 6*x - 29 What is the g'th term of 3194, 3188, 3180, 3170? -g**2 - 3*g + 3198 What is the g'th term of 9, 18, 39, 78, 141, 234, 363? g**3 + 2*g + 6 What is the r'th term of 86, 178, 270, 362, 454, 546? 92*r - 6 What is the b'th term of 1714, 1710, 1706, 1702? -4*b + 1718 What is the w'th term of -37, -76, -115, -154, -193? -39*w + 2 What is the g'th term of -14, -10, -4, 4, 14, 26, 40? g**2 + g - 16 What is the z'th term of -109, -119, -129? -10*z - 99 What is the w'th term of 70, 280, 630, 1120? 70*w**2 What is the g'th term of -37, -70, -161, -340, -637? -5*g**3 + g**2 - g - 32 What is the s'th term of -2062, -4115, -6154, -8173, -10166? s**3 + s**2 - 2063*s - 1 What is the x'th term of 122, 249, 376, 503, 630? 127*x - 5 What is the w'th term of -1957, -1958, -1969, -1996, -2045, -2122? -w**3 + w**2 + 3*w - 1960 What is the d'th term of 20, 37, 64, 107, 172, 265, 392, 559? d**3 - d**2 + 13*d + 7 What is the k'th term of -2, -12, -30, -56, -90, -132, -182? -4*k**2 + 2*k What is the h'th term of -313, -308, -301, -292, -281? h**2 + 2*h - 316 What is the m'th term of -13, -18, -25, -34, -45? -m**2 - 2*m - 10 What is the l'th term of -83, -183, -307, -467, -675, -943? -2*l**3 - 86*l + 5 What is the z'th term of -285, -524, -763, -1002, -1241? -239*z - 46 What is the y'th term of 24, 28, -2, -84, -236, -476, -822, -1292? -3*y**3 + y**2 + 22*y + 4 What is the c'th term of -119, -242, -363, -482? c**2 - 126*c + 6 What is the l'th term of 14, -1, -26, -61, -106, -161? -5*l**2 + 19 What is the m'th term of -18, -56, -112, -180, -254? m**3 - 15*m**2 - 4 What is the r'th term of 171, 330, 489, 648? 159*r + 12 What is the m'th term of -3458, -3453, -3448, -3443, -3438? 5*m - 3463 What is the w'th term of 225, 446, 667? 221*w + 4 What is the c'th term of 4635, 4628, 4607, 4566, 4499? -c**3 - c**2 + 3*c + 4634 What is the t'th term of 48, 116, 294, 636, 1196, 2028, 3186? 9*t**3 + t**2 + 2*t + 36 What is the r'th term of 281, 565, 849, 1133? 284*r - 3 What is the q'th term of -33, -54, -111, -222, -405, -678, -1059? -3*q**3 - 30 What is the j'th term of -53, -62, -93, -158, -269? -2*j**3 + j**2 + 2*j - 54 What is the u'th term of -1, -18, -51, -100? -8*u**2 + 7*u What is the i'th term of 8, -18, -56, -112, -192? -i**3 - 19*i + 28 What is the s'th term of -125, -162, -199, -236, -273? -37*s - 88 What is the m'th term of 114, 452, 1022, 1830, 2882? m**3 + 110*m**2 + m + 2 What is the q'th term of 585, 584, 583, 582, 581, 580? -q + 586 What is the k'th term of -165, -673, -1517, -2697, -4213? -168*k**2 - 4*k + 7 What is the w'th term of 212, 848, 1914, 3416, 5360, 7752, 10598, 13904? w**3 + 209*w**2 + 2*w What is the s'th term of 6, 141, 276, 411, 546? 135*s - 129 What is the g'th term of 594, 1188, 1782, 2376? 594*g What is the a'th term of 87, 77, 59, 33? -4*a**2 + 2*a + 89 What is the g'th term of 44, 139, 288, 491? 27*g**2 + 14*g + 3 What is the o'th term of 12365, 24730, 37095, 49460, 61825? 12365*o What is the t'th term of 47, 99, 151, 203, 255? 52*t - 5 What is the k'th term of 89, 183, 263, 323, 357, 359? -k**3 - k**2 + 104*k - 13 What is the p'th term of 18, 23, 26, 27, 26? -p**2 + 8*p + 11 What is the k'th term of 155, 157, 159, 161, 163, 165? 2*k + 153 What is the g'th term of 210, 220, 230, 240, 250, 260? 10*g + 200 What is the t'th term of -137, -131, -113, -77, -17, 73? t**3 - t - 137 What is the q'th term of 14598, 14599, 14600, 14601, 14602, 14603? q + 14597 What is the x'th term of -111, -106, -101? 5*x - 116 What is the c'th term of -175, -357, -539? -182*c + 7 What is the v'th term of 5, 20, 35, 50? 15*v - 10 What is the q'th term of 80, 171, 252, 317, 360, 375, 356, 297? -q**3 + q**2 + 95*q - 15 What is the o'th term of 69, 72, 85, 114, 165? o**3 - o**2 - o + 70 What is the k'th term of -6, 2, 24, 60? 7*k**2 - 13*k What is the o'th term of 28, 33, 36, 37, 36, 33, 28? -o**2 + 8*o + 21 What is the s'th term of 64, 146, 242, 358, 500, 674, 886? s**3 + s**2 + 72*s - 10 What is the f'th term of -8992, -8990, -8988? 2*f - 8994 What is the m'th term of -749, -747, -745, -743, -741, -739? 2*m - 751 What is the m'th term of 56, 63, 70, 77, 84? 7*m + 49 What is the f'th term of 2, 0, -2? -2*f + 4 What is the x'th term of 174, 388, 744, 1242, 1882, 2664, 3588? 71*x**2 + x + 102 What is the d'th term of 108, 101, 90, 75, 56, 33, 6? -2*d**2 - d + 111 What is the i'th term of -4490, -4495, -4502, -4511, -4522, -4535, -4550? -i**2 - 2*i - 4487 What is the n'th term of 1017, 2027, 3037? 1010*n + 7 What is the c'th term of 429, 426, 421, 414, 405? -c**2 + 430 What is the p'th term of 635, 2543, 5727, 10187, 15923? 638*p**2 - 6*p + 3 What is the f'th term of -101, -99, -95, -89? f**2 - f - 101 What is the u'th term of -40, -23, -8, 5, 16, 25, 32? -u**2 + 20*u - 59 What is the q'th term of 21, 1, -53, -159, -335, -599, -969? -3*q**3 + q**2 - 2*q + 25 What is the c'th term of -320, -632, -942, -1250, -1556? c**2 - 315*c - 6 What is the l'th term of -433, -864, -1295, -1726, -2157, -2588? -431*l - 2 What is the h'th term of 150, 320, 494, 672, 854? 2*h**2 + 164*h - 16 What is the x'th term of -111, -111, -117, -135, -171? -x**3 + 3*x**2 - 2*x - 111 What is the r'th term of 60, -16, -152, -354, -628, -980, -1416, -1942? -r**3 - 24*r**2 + 3*r + 82 What is the t'th term of 19, 1, -63, -197, -425, -771, -1259, -1913? -4*t**3 + t**2 + 7*t + 15 What is the s'th term of 201, 402, 601, 798? -s**2 + 204*s - 2 What is the i'th term of 1601, 3207, 4801, 6377, 7929, 9451, 10937, 12381? -i**3 + 1613*i - 11 What is the t'th term of 2577, 2580, 2593, 2622, 2673? t**3 - t**2 - t + 2578 What is the x'th term of 223, 425, 627? 202*x + 21 What is the y'th term of -1671, -3342, -5013, -6684, -8355? -1671*y What is the r'th term of -140, -179, -240, -335, -476? -2*r**3 + r**2 - 28*r - 111 What is the o'th term of 348, 349, 350, 351, 352? o + 347 What is the t'th term of -66, -380, -1232, -2892, -5630, -9716, -15420, -23012? -45*t**3 + t**2 - 2*t - 20 What is the s'th term of -225, -227, -229, -231? -2*s - 223 What is the a'th term of -36, -33, -20, 9, 60, 139, 252? a**3 - a**2 - a - 35 What is the l'th term of -21, 6, 51, 108, 171, 234? -l**3 + 15*l**2 - 11*l - 24 What is the r'th term of -7743, -7744, -7745, -7746, -7747, -7748? -r - 7742 What is the z'th term of -42, -82, -118, -150, -178, -202? 2*z**2 - 46*z + 2 What is the x'th term of 14, 15, 26, 53, 102, 179? x**3 - x**2 - 3*x + 17 What is the w'th term of 74, 173, 272? 99*w - 25 What is the y'th term of -31, -123, -277, -493, -771? -31*y**2 + y - 1 What is the v'th term of 9, 35, 51, 51, 29, -21? -v**3 + v**2 + 30*v - 21 What is the z'th term of 12153, 12162, 12185, 12228, 12297, 12398, 12537? z**3 + z**2 - z + 12152 What is the j'th term of 138, 272, 406? 134*j + 4 What is the s'th term of -44, -108, -280, -614, -1164, -1984, -3128? -9*s**3 - s - 34 What is the c'th term of -921, -1846, -2771? -925*c + 4 What is the w'th term of -30109, -30114, -30121, -30130, -30141? -w**2 - 2*w - 30106 What is the q'th term of 3
{ "pile_set_name": "DM Mathematics" }
= -11*p(l) - 2*x(l). Let t be k(12). Solve 16 = t*c, 5 = -2*v + 2*c - 11 for v. -4 Let r be (5 - -4)*(1/3 + 0). Solve -r*f - 4*l - 15 = -8*f, -26 = f + 5*l for f. -1 Suppose -10*v - 53 + 53 = 0. Solve -5*z = -4*o - v*o - 32, -3*o = 9 for z. 4 Suppose 0 = 20*j - 4 - 96. Solve -j*n = -f + 4 - 16, -4*n - 4*f = 0 for n. 2 Let j = -283 + 303. Solve 5*s = -4*v + j, -7*s = v - 4*s - 5 for v. 5 Suppose -2*s = -5*m + 44, 3*s + 9*m = 4*m - 41. Let b = -3 - s. Solve -q = -3*g + b, 2*g - 2*q - 6 = -3*q for g. 4 Let l = 36 - 24. Let y be (-3)/l + 51/12. Solve -2*x + 24 - 4 = -y*m, x + m + 5 = 0 for x. 0 Let n(d) = 7*d**2 + 2*d - 2. Let i be n(-1). Solve -5*k + 5 = -5*p - 0*p, 0 = -i*p for k. 1 Suppose -7*i + 6*i + 4*k = 5, -3*k - 9 = -5*i. Solve -i*y + 0*x - 14 = -5*x, -8 = 4*y - 4*x for y. 2 Suppose -5*o - 4*l = -14, -7 = -2*o + 5*l - 8. Solve -o*q = -x - 4, -x + 3*q = 2*x + 3 for x. 2 Let f be (-14)/(-5 + 3) + -2. Let y = 10 - f. Let c(a) = a + 15. Let g be c(0). Solve -5*t = -g, -y*q - 4*t = -11 - 21 for q. 4 Let s(w) = -2*w + 22. Let u be s(10). Suppose u*f - 6*p + p = 0, -3*f - 5*p + 25 = 0. Solve -f*v + 10 = 0, 0 = -4*m - 3*v + 21 - 3 for m. 3 Let x = -12 + 21. Let j be 48/x*(-3)/(-4). Solve -j*v + 21 = -2*z + v, -3*z + 4*v = 21 for z. -3 Suppose -4*x + 36 = 2*p, -6*p = -4*p + 2*x - 26. Let q be (10/p)/(24/192). Let a be -1 + 4/(-1 + 2). Solve 5 = a*u - t + 15, -4*t = -2*u - q for u. -3 Let l be 6/4 - 1/(-2). Let q be ((-2)/(-10))/((-46)/(-690)). Solve 10 = l*b - 0*i - i, 0 = -3*b + q*i + 18 for b. 4 Let o(y) = -y**3 - 3*y**2 - 6*y - 15. Let v be o(-3). Solve 3*x - v*h + 2*h = 10, -10 = -x - h for x. 5 Let n(u) = 13 - 8*u + 40 + 2*u - 11. Let i be n(6). Solve a - 10 = 5*v, -2*v - 4 = a - i*a for v. -2 Let d(a) = a**2 - 9*a - 65. Let h be d(-5). Solve 0 = s - f + 8, -h*s = 3*f + 9 + 7 for s. -5 Suppose 2*o + 20*g = 24*g + 26, -2*o + 1 = g. Solve 2*u = -u + 5*a + o, 2*a + 10 = -u for u. -4 Let g(k) be the first derivative of k**2 - 15*k - 3. Let a be g(9). Solve -2*r + 4*h - 2*h + 4 = 0, -5*h - 26 = a*r for r. -2 Let u(s) = 3*s**2 - 12*s + 7. Let o be u(4). Solve -o*q = -6*q + 3*y + 12, 6 = 2*q - 4*y for q. -3 Let j(v) = 6*v**2 + 2*v + 1. Let h be j(-1). Suppose 14 = -3*l + h. Let y be 2 - (l + 7)/(-4). Solve 3*t - w = -2, 0 = -y*t + 3*w - 0*w for t. -1 Let a = 25 + -16. Let k be (-12)/(-2) - 3/(-4 + 7). Solve -k*i - 13 = -4*o + 4, -a = -3*o for i. -1 Suppose 5*v - 20 = 0, 2*b = 3*v - 2*v. Suppose 0 = -b*r - 2*z, 3*r + 7*z + 6 = 2*z. Solve s = -5*q - 20, -2*s + 4*q = -r*s - 16 for s. 0 Let s = -224 - -226. Solve 0 = -w + s, 3*v - w - 23 = -2*v for v. 5 Let z be -2 - -4 - 2 - -9. Suppose -p = -z*s + 4*s + 23, -4*s + 18 = -p. Solve -4*t - 19 = t + 3*b, s*t + 4*b = -22 for t. -2 Suppose -4*u - 5*i + 91 = 0, -5*i = 7*u - 2*u - 110. Suppose 3*h = -2*g + u, -g + 5*h - 23 = -0*g. Solve -y + 13 = -4*q, 5 = -4*q + g*y - 5 for q. -4 Let r = -771 - -777. Solve w = b, 2*b + 15 = -5*w - r for w. -3 Suppose -d = 5*a - 6, 5*a + 24*d = 29*d + 30. Solve o = 3*m + 1, 4*m - o + 0*o + a = 0 for m. -1 Let p = -16 + 18. Suppose 3*v - p*q + 3*q = 7, 2*v + q - 3 = 0. Suppose -v*c = 2 - 14. Solve -t - 12 = -4*r, 2*t - c*r + 4 = -5 for t. 0 Suppose t + 18 = 4*t. Let s(j) = -j**3 + 7*j**2 - 5*j - 3. Let k be s(t). Solve 5*n = x - 15, 5*x - 5 = k*n - 18 for x. -5 Let b = -48 + 43. Let w be (0 + -2)*(-5 + 9 + b). Solve -2*j - 3 = m - 13, -5*m + 18 = w*j for j. 4 Let w = 43 - 38. Suppose 0 = h - 3*x - 2*x + 18, -3*h - w*x = -26. Solve 4*m - 10 = -3*o + 3*m, 0 = -o + h*m + 15 for o. 5 Suppose -2 = 22*n - 46. Solve -3*b = 3*x, n*x - 4*b - 10 = -b for x. 2 Let p be 380/60 - (-2)/(-6). Suppose 0 = 2*i + i - p. Solve 3*s = -5*o - 15, -i*s - 6 - 4 = o for o. 0 Suppose -3*u + 25 = -11. Suppose -q - 5*g = u - 52, -5*q + 80 = -5*g. Solve -q = b + 2*p + 3*p, 4*b = -p - 4 for b. 0 Suppose 0 = 56*p - 47*p - 27. Solve -13 = -5*w + p*r, -25 - 3 = -4*w - 2*r for w. 5 Let m be (-5 + 7)*30/12. Suppose 0 = b - 4*z, 0*b + 5*z = 2*b - 6. Solve -5*r = -3*r + j - b, m*j + 5 = -r for r. 5 Let l = -175 + 179. Solve -j - l*b + 3*b + 6 = 0, j = 3*b - 6 for j. 3 Let c(o) = -o - 9. Let y be c(-4). Let l = -1 - y. Solve 28 = -l*v - 4*b, -5*b - 16 = v + 3 for v. -4 Let y be (4 + 24/(-4))*-2. Solve 3*h + 19 = -i, i = 6*i - y*h for i. -4 Let w be (-12 - (-42)/4)/((-1)/2). Solve 2*x - 18 = -0*x - w*j, 3*x = 5*j - 11 for x. 3 Suppose 7*k - 543 - 87 = 0. Suppose -3*q + 102 = k. Solve 5*a + 6 = q*a + 2*u, a - u = -4 for a. -2 Let k be (-1)/1*-4 - 2. Suppose 4 - 8 = -2*c. Let l be 0*(4 + -5 + c). Solve 1 = 4*f - k*f + 3*x, l = 3*x - 3 for f. -1 Let p = 659 - 655. Solve 0 = -4*g + w - 2 - 4, -g - p*w - 10 = 0 for g. -2 Suppose 5*t - 5 = b, 4*t + 4*b + 29 - 9 = 0. Solve t = -4*n + 4*u + 28, 5*n + 3*u = -9 + 20 for n. 4 Suppose 5*b - b = -60. Let w be ((-3)/(-2))/(-3) - b/6. Solve -n - 9 = -2*i + w, 3*i = -5*n - 16 for i. 3 Let j = 43 + -39. Suppose -j*p + 0*p = -4, 5*p = -3*t + 17. Solve -3*o + 12 = -2*q - 3*q, 2*q = -o + t for q. 0 Suppose 16*d = 18*d + 94. Let t = d - -47. Solve 3 + 13 = -4*r - 5*z, t = -5*r + z + 9 for r. 1 Let i = 18 - 20. Let m be i/8*0 - -2. Suppose 0 = m*x - 0*x - 6. Solve 4*o + d = 10 + 8, -14 = -4*o - x*d for o. 5 Let t(o) = -2*o**2 - 6*o - 4. Let n be t(-1). Solve d - 5*s = 2*d + 16, -d - 3*s - 10 = n for d. -1 Suppose -9*m - 37 + 136 = 0. Solve -n = -2*b - m, -7*b + 2*b - 3*n = 0 for b. -3 Suppose -283 = -8*r - 27. Let s = 64 - r. Solve -4*u = 4*i + s, -4*i - 3*u = -4*u + 7 for i. -3 Suppose 15*c - 14*c = 28. Solve -18 = u - 3*j, -j - c = u - 6*j for u. -3 Let x be -2 - 104/(-78)*3/2. Solve x = h + 4*l + 19, -2*l + 6*l = -2*h - 22 for h. -3 Suppose -3*q + 4*q = 4. Suppose -4*g - 25 = -5*d, q*g = 3*g. Let p = 219 - 216. Solve -d*m = -p*v + 6, 5*v = 4*m + m + 10 for v. 2 Let k = -21 + 23. Suppose -8 = k*d - y + 5*y, 4*d + 5*y + 4 = 0. Solve 0 = -5*n + 2*m + 4, 3*n + d*m - 3*m = -2 for n. 0 Let t = -38 + 41. Let h be 4 + 4 + t + -9. Solve -3*y - 5*i - 28 = -2*y, -1 = -3*y + h*i for y. -3 Let q = 61 + -64. Let n be 3/9*-3 - q. Solve 2*v = -d - 7, -3*v - 6 = -d - n*d for v. -3 Let h = -172 - -175. Solve -h*j - 2 = j - 2*p, -2*p + 5 = -5*j for j. -3 Let f be ((-28)/3)/(-4) + (-10)/(-15). Solve -5*w - n - f*n + 17 = 0, -4*n = 4*w - 16 for w. 1 Let p(v) = 2*v - 63. Let z be p(34). Solve -q - 5 = 2*h + 2*q, 0 = 5*h + 4*q - z for h. 5 Suppose 3*x = -c + 9, 26*c = 22*c. Solve x*v - 12 = 3*z, z + z + v - 1 = 0 for z. -1 Let g = -39 - -42. Suppose -2*o - 9 = -5*r, -1 = g*o - 10. Solve -3*t - 10 = 4*c, -4 = 5*c - 2*t - r for c. -1 Suppose 5*y - 4*r - 11 = -3*r, y - 3*r - 5 = 0. Solve h - 3 = 3*x - 0*x, -4*h = -y*x + 8 for x. -2 Suppose -z = 2*h, -4*h = -z - 2*z. Let v = h - -3. Suppose v = g - 2. Solve 0 = 4*d + w + 11, -w = g*d + 2*w + 12 for d. -3 Suppose a - 17 = -0*a. Suppose 5*f = 3*f + 2*d + 14, -5*d = f + a. Solve 2*m = f*k + 15, -m + 30 = 4*m - 5*k for m. 3 Let n = -39 - -2. Let d = n - -37. Suppose 2 = 4*z - 18. Solve -3*m + 2 = i - z*i, -3*i - m - 8 = d for i. -2 Let v be ((-310)/20 - -9)/((-1)/2). Solve -3*s + v = g, -s - 4 = -3*s - 3*g for s. 5 Let h be 44*(-8 - (-33)/4). Solve x = 3*o - h, -4*x = o - 3*o - 6 for o. 5 Let o(j) be the first derivative of j**3/3 + 9*j**2/2 - 32*j - 20. Let z be o(-12). Solve y - 2*v - 2 = 0, z*y + 35 - 7 = -4*v for y. -4 Let z be (-50)/(-4) + 1/(-2). Suppose 13 + 10 = -7*f + 51. Solve 2*x + z = f*l, l - 7 = -3*x + 3 for x. 2 Suppose 4*z - 5*u - 72 = 0, 0 = -10*u + 5*u + 20. Solve 0 = -f - 3*r - 2*r - z, 11 = -2*f - 3*r for f. 2 Let r = -1213 - -1219. Solve 3*q - 2*n - 14 = 0, 0 = -0*q - 5*q - 4*n - r for q. 2 Suppose 8 = 2*s - 2*q + q, 5*q = -3*s + 12. Suppose -5*g = -s*g + 6. Let j = 10 + g. Solve r + 3*n - 7 = 8*n, 4*r = -j*n + 4 for r. 2 Let g(a) = 57*a - 549. Let r be g(10). Let s(w) = w**3 - 6*w**2 - 7*w. Let m be s(7). Solve -k + m*b - 1 = -3*b, 4*k + r = -5*b for k. -4 Suppose -s = 2*s + 120. Let o be s/16*-2*1. Let i = o + 0. Solve -2*c = m - 5, -4*c = -0*m + i*m - 13 for m. 1 Let w(s) = 3*s + 20. Let x be w(-9). Let f be 114/14 - (-1)/x. Solve 4*d - 4*n + f = 0, -d - 20 = -n + 6*n for d. -5 Let n(x) be the third derivative of x**6/120 - x**5/6 + x**4/3 + 11*x**3/6 + 52*x**2. Let f be n(9). Solve 4*r = 5*t - t - 24, -8 = -f*t for r. -2 Let f be (10
{ "pile_set_name": "DM Mathematics" }
07534? -f**3 + f**2 - 101859*f + 1861 What is the n'th term of -113976, -227963, -341950, -455937, -569924, -683911? -113987*n + 11 What is the d'th term of -954, -2001, -3186, -4509, -5970? -69*d**2 - 840*d - 45 What is the x'th term of -25927, -51461, -76987, -102505? 4*x**2 - 25546*x - 385 What is the j'th term of 262, 492, 830, 1264, 1782? -2*j**3 + 66*j**2 + 46*j + 152 What is the y'th term of 348209, 696449, 1044689? 348240*y - 31 What is the y'th term of 175735, 703105, 1582109, 2812747? 175817*y**2 - 81*y - 1 What is the g'th term of 34143, 33967, 33493, 32571, 31051, 28783? -25*g**3 + g**2 - 4*g + 34171 What is the j'th term of 137121243, 274242483, 411363723? 137121240*j + 3 What is the d'th term of -228, -815, -1792, -3159, -4916, -7063, -9600? -195*d**2 - 2*d - 31 What is the u'th term of -69988754, -69988755, -69988756? -u - 69988753 What is the i'th term of -38293184, -76586369, -114879554, -153172739? -38293185*i + 1 What is the n'th term of 1505, 4200, 6897, 9596? n**2 + 2692*n - 1188 What is the b'th term of 751853, 1503182, 2254511, 3005840? 751329*b + 524 What is the y'th term of 214187, 214287, 214387, 214487? 100*y + 214087 What is the c'th term of 3308, 3232, 3110, 2942, 2728, 2468? -23*c**2 - 7*c + 3338 What is the r'th term of -6680, -7130, -7580, -8030, -8480, -8930? -450*r - 6230 What is the j'th term of 63407, 57527, 51647? -5880*j + 69287 What is the h'th term of 9189, 18487, 27881, 37371? 48*h**2 + 9154*h - 13 What is the j'th term of 104001, 208003, 312017, 416043? 6*j**2 + 103984*j + 11 What is the p'th term of 35788, 34278, 31754, 28210, 23640, 18038? -p**3 - 501*p**2 + 36290 What is the l'th term of 4318, 5366, 6414, 7462, 8510? 1048*l + 3270 What is the r'th term of -7596910, -15193820, -22790730, -30387640? -7596910*r What is the n'th term of -147744, -297042, -446340? -149298*n + 1554 What is the m'th term of -4276989, -17107904, -38492753, -68431530, -106924229, -153970844? m**3 - 4276973*m**2 - 3*m - 14 What is the w'th term of 3202933, 3202928, 3202919, 3202906? -2*w**2 + w + 3202934 What is the a'th term of 29004, 58250, 87728, 117438? 116*a**2 + 28898*a - 10 What is the f'th term of 537315, 537318, 537325, 537336? 2*f**2 - 3*f + 537316 What is the g'th term of 8732, 8750, 8772, 8792, 8804, 8802, 8780? -g**3 + 8*g**2 + g + 8724 What is the u'th term of -17467, -37419, -57371, -77323? -19952*u + 2485 What is the v'th term of -343884, -687898, -1031898, -1375878, -1719832, -2063754? v**3 + v**2 - 344024*v + 138 What is the i'th term of 827, 1616, 2451, 3368, 4403? 6*i**3 - 13*i**2 + 786*i + 48 What is the j'th term of -6407, -6776, -7387, -8240, -9335, -10672, -12251? -121*j**2 - 6*j - 6280 What is the f'th term of -13488439, -26976855, -40465271, -53953687? -13488416*f - 23 What is the t'th term of -529462, -529356, -529180, -528934, -528618, -528232? 35*t**2 + t - 529498 What is the d'th term of 527192, 524492, 521792, 519092? -2700*d + 529892 What is the f'th term of -2480, -10001, -22550, -40139, -62780, -90485, -123266, -161135? -2*f**3 - 2502*f**2 - f + 25 What is the k'th term of 77680785, 77680784, 77680783? -k + 77680786 What is the r'th term of -54810, -55398, -55986, -56574, -57162? -588*r - 54222 What is the i'th term of 600, 1110, 1974, 3192, 4764, 6690, 8970? 177*i**2 - 21*i + 444 What is the w'th term of -13536, -107506, -362456, -858876, -1677256, -2898086, -4601856? -13415*w**3 - 65*w - 56 What is the g'th term of -2445, -5797, -10055, -15219? -453*g**2 - 1993*g + 1 What is the u'th term of 1655, 3417, 5297, 7355, 9651, 12245, 15197? 10*u**3 - u**2 + 1695*u - 49 What is the f'th term of 2982676, 5965349, 8948022, 11930695, 14913368? 2982673*f + 3 What is the o'th term of 2324183, 2323972, 2323775, 2323598, 2323447, 2323328, 2323247, 2323210? o**3 + o**2 - 221*o + 2324402 What is the u'th term of -235210, -940835, -2116874, -3763327, -5880194, -8467475, -11525170? -235207*u**2 - 4*u + 1 What is the u'th term of -581808735, -581808736, -581808737? -u - 581808734 What is the b'th term of -13630, -14110, -14910, -16030, -17470, -19230, -21310? -160*b**2 - 13470 What is the k'th term of 2026, 3551, 6098, 9667, 14258, 19871? 511*k**2 - 8*k + 1523 What is the d'th term of 234625, 469205, 703755, 938275, 1172765, 1407225, 1641655? -15*d**2 + 234625*d + 15 What is the y'th term of -719492, -1438990, -2158488, -2877986? -719498*y + 6 What is the d'th term of 18698, 32869, 47040, 61211, 75382? 14171*d + 4527 What is the j'th term of -1831428004, -1831428003, -1831428002, -1831428001? j - 1831428005 What is the s'th term of -21463, -9673, 9979, 37493? 3931*s**2 - 3*s - 25391 What is the o'th term of -11756487, -11756551, -11756665, -11756835, -11757067, -11757367, -11757741? -o**3 - 19*o**2 - 11756467 What is the x'th term of 29473929, 29473931, 29473933, 29473935, 29473937, 29473939? 2*x + 29473927 What is the v'th term of -55188, -55253, -55308, -55347, -55364? v**3 - v**2 - 69*v - 55119 What is the c'th term of -2739, 634, 4009, 7386, 10765, 14146, 17529? c**2 + 3370*c - 6110 What is the y'th term of 14338416, 28676831, 43015246, 57353661? 14338415*y + 1 What is the p'th term of 281844, 281840, 281836, 281832, 281828? -4*p + 281848 What is the g'th term of -15962, -17067, -18908, -21485, -24798, -28847, -33632? -368*g**2 - g - 15593 What is the c'th term of -2339239, -2339227, -2339207, -2339179, -2339143, -2339099, -2339047? 4*c**2 - 2339243 What is the l'th term of 10499214, 20998417, 31497610, 41996787, 52495942, 62995069, 73494162? -l**3 + l**2 + 10499207*l + 7 What is the u'th term of 141392, 141516, 141640, 141764, 141888, 142012? 124*u + 141268 What is the i'th term of 13118, 31443, 49768, 68093? 18325*i - 5207 What is the g'th term of -13045, -52286, -117685, -209242, -326957, -470830, -640861? -13079*g**2 - 4*g + 38 What is the t'th term of 5665029, 5665027, 5665025, 5665023? -2*t + 5665031 What is the o'th term of -31, 105, 667, 1895, 4029, 7309, 11975, 18267? 40*o**3 - 27*o**2 - 63*o + 19 What is the n'th term of -45798948, -45798945, -45798942? 3*n - 45798951 What is the p'th term of 218899, 437790, 656669, 875536, 1094391? -6*p**2 + 218909*p - 4 What is the d'th term of -14405, -57236, -128473, -228110, -356141? d**3 - 14209*d**2 - 211*d + 14 What is the l'th term of -31155, -62659, -94163, -125667, -157171, -188675? -31504*l + 349 What is the r'th term of 310513, 622566, 934619? 312053*r - 1540 What is the f'th term of 144003, 143273, 142543, 141813, 141083, 140353? -730*f + 144733 What is the u'th term of 51641, 103288, 154947, 206612, 258277? -u**3 + 12*u**2 + 51618*u + 12 What is the u'th term of 132934, 265751, 398446, 531019, 663470, 795799, 928006? -61*u**2 + 133000*u - 5 What is the d'th term of -2196, -9849, -22604, -40461, -63420? -2551*d**2 + 355 What is the w'th term of -474229, -948464, -1422687, -1896892, -2371073, -2845224? w**3 - 474242*w + 12 What is the q'th term of -31418, -62537, -93656? -31119*q - 299 What is the l'th term of 43207, 172718, 388565, 690742, 1079243, 1554062, 2115193? -l**3 + 43174*l**2 - 4*l + 38 What is the f'th term of -549, -611, -641, -639, -605? 16*f**2 - 110*f - 455 What is the u'th term of 337386, 674707, 1012028, 1349349, 1686670? 337321*u + 65 What is the a'th term of -15062, -14998, -14910, -14786, -14614? 2*a**3 + 50*a - 15114 What is the a'th term of -2946076, -2946075, -2946066, -2946043, -2946000, -2945931? a**3 - 2*a**2 - 2946075 What is the l'th term of 4424, 37764, 128266, 304514, 595092, 1028584, 1633574, 2438646? 4764*l**3 - 3*l**2 + l - 338 What is the p'th term of 37281266, 37281285, 37281304? 19*p + 37281247 What is the c'th term of 150770, 150800, 150840, 150896, 150974, 151080, 151220? c**3 - c**2 + 26*c + 150744 What is the x'th term of 1146, 1567, 2116, 2811, 3670, 4711? 3*x**3 + 46*x**2 + 262*x + 835 What is the c'th term of -2104, -4559, -7358, -10501? -172*c**2 - 1939*c + 7 What is the o'th term of 5316, 5536, 5924, 6486, 7228, 8156, 9276? o**3 + 78*o**2 - 21*o + 5258 What is the h'th term of 15373, 20696, 29567, 41986, 57953, 77468? 1774*h**2 + h + 13598 What is the d'th term of -2614, -10367, -23258, -41275, -64406, -92639, -125962? 2*d**3 - 2581*d**2 - 24*d - 11 What is the d'th term of 810, 2493, 4970, 8241, 123
{ "pile_set_name": "DM Mathematics" }
= 14*c - 18343 - 18393. Is c a multiple of 32? True Suppose 0 = -30*s + 3116 + 3964. Is s a multiple of 63? False Suppose -3*v + 3 - 8 = 5*j, 20 = -4*v. Suppose 210 = 4*g + j*g. Is g a multiple of 35? True Let l = 68 + -69. Let z = 241 + l. Is 40 a factor of z? True Suppose -4*h - s + 1067 = 0, -s = h + h - 535. Is 29 a factor of h? False Let t(f) = -56*f**3 - f**2 + f + 2. Let q(m) = m**2 + 18*m + 16. Let b be q(-17). Is 28 a factor of t(b)? True Suppose s = 5*s - 3168. Is s a multiple of 33? True Suppose -2*a + 4*c = -4, -3*a + 4*c = 2*a - 10. Suppose 0 = a*r + 4*x - 70, -x - 73 = -3*r + x. Does 4 divide r? False Let f = -161 - -181. Is f a multiple of 5? True Suppose 7*s - 2140 = -796. Is 48 a factor of s? True Suppose j - 100 = -3*g, 2*j = 4*j - g - 200. Is 25 a factor of j? True Let k(q) = q**3 + 3*q**2 - 6*q - 2. Let n be k(-4). Suppose -123 = -2*p - 5*u, 3*u - 113 = -n*p + 4*p. Is p a multiple of 7? True Let o(x) = -x**2 + 10*x + 20. Let v be o(17). Let j = 191 + v. Does 46 divide j? True Let v(s) = s**2 + 5*s - 9. Let p be v(3). Does 27 divide 417/p - (-8)/(-10)? True Let m = -231 + 479. Is 8 a factor of m? True Let n be (-33)/11 - (-3 + 0). Suppose -8*b + 2*b + 156 = n. Let u = b + 30. Is 24 a factor of u? False Suppose 27440 = 103*n - 75*n. Is n a multiple of 7? True Let o = -677 - 810. Let j = o + 2575. Is (-4)/10 + j/20 a multiple of 27? True Suppose -10 = 4*f - 9*f. Let v(o) = -21*o - 26. Let p(r) = 7*r + 9. Let k(h) = f*v(h) + 7*p(h). Is 24 a factor of k(12)? False Let g(w) = w**2 - 9*w + 10. Let u be g(7). Let z(f) = f**2 - 3*f - 16. Is 2 a factor of z(u)? True Suppose 6*n - 11*n - 111 = f, 2*f - 3*n + 157 = 0. Suppose 3 = -3*v - 3. Is 1 + v + f/(-2) a multiple of 14? True Suppose 5*f = -5*d - 2 + 17, -4*d = -2*f - 24. Suppose 2*l = -d*x - 0*l + 64, -5*l = 3*x - 27. Let b = x + -11. Does 2 divide b? False Let m(y) = 56*y + 364. Is 75 a factor of m(31)? True Suppose -17 = 4*g - 3*g. Let j(z) = -3*z - 40. Is 3 a factor of j(g)? False Suppose -r + 2*g = -71, -4*r + 7*g + 269 = 2*g. Let c = 128 - r. Let k = c - 41. Is 6 a factor of k? False Suppose s + 1910 = 5*s - 2*p, 473 = s + 4*p. Is 8 a factor of s? False Let c(o) = o**2 + 20*o - 41. Does 14 divide c(23)? False Let v = 58 - 31. Suppose -j + 63 = -v. Is j a multiple of 15? True Let s = 50 - 52. Is (214/s)/(3/(-3)) a multiple of 23? False Let y(w) = -2*w**3 + 15*w**2 - 7*w + 5. Let c be y(7). Let o(v) = 3*v**2 - 7*v + 5. Is o(c) a multiple of 15? True Let y be (-149)/(-6) - 12/(-72). Suppose 0 = -22*i + y*i. Suppose i = -6*l + 129 + 141. Does 7 divide l? False Suppose 0 = 4*d + d + 70. Let k = 18 + d. Suppose 4*m - k = 0, 2*m - 3*m - 214 = -5*q. Is q a multiple of 12? False Let p = -62 + 254. Suppose 2*z = -z + p. Is 17 a factor of z? False Let s(u) = u - 21. Let i be s(23). Suppose i*c + 3 = 23. Is c a multiple of 2? True Suppose -2237 = -17*t + 3713. Does 46 divide t? False Let y(s) = -9*s - 147. Is y(-22) a multiple of 17? True Let i = -6 - -25. Let n = -16 + i. Is n a multiple of 2? False Suppose 0 = -7*y + 21*y - 336. Is 6 a factor of y? True Let l(g) be the third derivative of g**6/120 - g**5/10 + g**4/24 + 7*g**3/3 + 8*g**2. Let y be l(6). Is (-168 - 0)/((-30)/y) a multiple of 30? False Suppose 4*a = 2*x + 828, -434 = -2*a - 6*x + 2*x. Does 6 divide a? False Let h be (3 + 2)*(-8)/(-10). Suppose 5*j - 15 = 5*d, 5*j - h*d + 2*d = 21. Is 2 a factor of j? False Let i(m) = -4*m - 17. Let w be i(-5). Suppose w*q - 250 = q. Is q a multiple of 16? False Let f(u) = 5*u**2 - u. Let x be f(-1). Let j(k) be the third derivative of k**5/60 - k**4/6 + k**3/6 + 18*k**2. Does 6 divide j(x)? False Let u(o) = o**2 - 2*o - 5. Let k be u(-2). Suppose 2 = -k*d - 7. Does 6 divide d/((-483)/(-123) + -4)? False Suppose -5*g + 3*k = -1766, -g + 6*k - 7*k + 350 = 0. Is 22 a factor of g? True Suppose -4*r + 2*r + 256 = 0. Suppose -3*y + 43 = -r. Does 19 divide y? True Suppose 28*z - 39 = 27*z. Let r(n) = -2*n**3 - 7*n**2 - 6*n - 9. Let s be r(-6). Suppose z = -4*b + s. Is 7 a factor of b? True Suppose 0 = -z - 5*j + 1340, 5*j - 5 = -0*j. Does 39 divide z? False Suppose 30*c = 34*c - 1212. Let q = -128 + c. Is q a multiple of 35? True Let y(v) = -v**3 + 4*v**2 + 5*v - 2. Let r be y(4). Let g = r - 10. Is 8 a factor of g? True Let h(p) = p**2 - 6*p - 6. Let z be h(7). Suppose 3*d = 3*a + z - 4, -3*d - 4*a + 32 = 0. Is (d + 1 + 33)/1 a multiple of 11? False Let q = -195 + 323. Is q a multiple of 45? False Let o(d) = -5*d**3 - 3*d**2 + 20*d - 23. Let f(l) = 2*l**3 + l**2 - 7*l + 8. Suppose 0 = b + 6. Let u(c) = b*o(c) - 17*f(c). Is 11 a factor of u(-2)? False Suppose -241 = -2*y - 77. Suppose p + 9 = y. Is 4 a factor of p? False Suppose -o = 4*t + 74 - 664, 2*t - 302 = -4*o. Is 21 a factor of t? True Suppose -y = z - 479 - 277, 2*z = -3*y + 2266. Is 26 a factor of y? True Suppose v + 693 = 3*g, 4*g + 0*v + 5*v = 943. Does 32 divide g? False Let w = -62 - -3. Let x = -31 - w. Is x a multiple of 7? True Suppose 0 = 18*l + 46 + 26. Is 4 a factor of (3 + l + 2)/((-5)/(-560))? True Suppose 48 = 2*u - 8*n + 3*n, 4*u - 96 = -5*n. Is 3 a factor of u? True Let x(n) = n**3 + 2*n**2 - 4*n + 2. Let u be x(2). Let h be 6 + 5/(-1) + (-32)/(-8). Is 143/h + (-6)/u a multiple of 14? True Suppose 4*u + 418 = -2*q, 0 = 6*u - 2*u - 12. Let v = q + 395. Suppose -8*p + v = -5*p. Is 17 a factor of p? False Let y(w) = -w - 5. Let l(o) = o + 3. Let u(s) = 13*l(s) + 6*y(s). Suppose 0*k + 16 = 2*k. Does 10 divide u(k)? False Suppose -3*a = -2*a + 5, 3*v - 28 = 2*a. Does 13 divide (-4)/12 + 1406/v? True Let m(n) = 3*n**2 - 12. Let q be m(-8). Suppose 3*a - 630 = -3*x, x + 4*x = a - q. Does 41 divide a? True Let k = -47 - -49. Suppose -k*j + 120 = 3*j. Does 8 divide j? True Suppose 2*o - 36 = -7*o. Let h(r) = -11*r - 1. Let u be h(1). Does 14 divide (-506)/u + o/(-24)? True Let n be -75 - (1 - 6/2). Let x = 113 - -10. Let u = n + x. Is 14 a factor of u? False Let w be ((-2)/(-3))/((-2)/(-27)). Suppose 7*g = w*g - 4. Is 13 a factor of (g/4)/((-1)/(-110))? False Let u = -8 + -72. Is (u/(-12))/(2/24) a multiple of 40? True Let z(f) be the first derivative of -f**4/4 - 7*f**3/3 + 3*f**2 + 23*f - 53. Does 10 divide z(-10)? False Let s(g) = -6*g + 4. Let x be s(-3). Suppose x = -2*b + 3*w, 5*b + 0*b = -3*w - 34. Does 3 divide (-14)/(-3) - b/(-12)? False Suppose 6*x + 6 = 7*x. Is 7 a factor of 48 + -4 + x/(-3)? True Suppose 5*s - 60 = 25. Let x(n) = n**2 - 17*n + 10. Let l be x(s). Is (-175)/l*(-4 - -2) a multiple of 35? True Suppose -4*o = d - 3*d + 352, 5*d = 2*o + 192. Let l = o - -235. Is l a multiple of 24? False Let d = -19 + 19. Suppose d = -3*h - 2*n + 184, 5*n = -h - 0*n + 70. Does 30 divide h? True Let g(c) = 14*c + 3. Let f(n) = -n**2 + 9*n - 11. Let y be f(7). Is g(y) a multiple of 10? False Suppose 1930 = 2*v + 2*a + 358, 3*v = -a + 2354. Does 16 divide v? True Let f = 108 + 578. Does 38 divide f? False Let t(u) = -59*u + 4 - 41*u - 3. Let d be t(-1). Suppose 3*k - 3 = 0, 4*k + d = 4*c + c. Is c a multiple of 6? False Let h = 1271 + -304. Is 10 a factor of h? False Let f(b) = -16*b + 25*b - 13*b. Let z be f(-1). Suppose 0 = 2*r - 5*d - 65, z*d + 124 = 4*r - 0*d. Is 15 a factor of r? True Let a be 66/6 + -1*4. Suppose 0 = u - 3*l + 12, -4*u - l + 2*l + a = 0. Suppose u*q - 206 = -44. Does 9 divide q? True Suppose -600 = 9*s - 7*s. Let z = -52 - s. Is 8 a factor of 1/(4/z*2)? False Let y(b) = 2*b**2 + 17*b + 140. Is 4 a factor of y(-6)? False Let h be 0 + 3/9*0 - 86. Is ((-3)/(-2))/(h/44 - -2) a multiple of 25? False Let r(l) = l**3 + 21*l**2 + 38*l + 52. Is 64 a factor of r(-15)? True Suppose -13*c = -11*c. Suppose 5*l - 2*l - 426 = c. Let h = l + -84. Does 29 divide h? True Suppose a = -4*r - 2*a - 15, -10 = -4*r + 2*a. Suppose u - 6*u = o - 88, 3*u - 15 = r. Is 10 a factor of o? False Suppose 0 = -7*q - 1 + 22. Suppose -q*t - 3*f = -t - 19, 3*f = -4*t + 47. Is 2 a factor of t? True Suppose -r - r + 768 = 0. Let f = -256 + r. Is 13 a factor of f? False Let t(m) be the first derivative of m**3/3 - 5*m**2/2 + 6*m + 23. Does 9 divide t(12)? True Suppose 5*f + 2 = -2*b, -5*f - b = 2 + 4. Let u(h) = 9*h + 1. Let q be u(1). Does 18 divide (q - 8)*(-23)/f? False Suppose -2*u + 66 = -13*u. Is (-421)/u - 6/36 a multiple of 14? T
{ "pile_set_name": "DM Mathematics" }
icked without replacement from qhqhqttjqtjjtqqjqqqq. What is prob of picking 3 t? 1/285 Two letters picked without replacement from xktxddxkdxxkkdt. What is prob of picking 2 x? 2/21 Two letters picked without replacement from {y: 3, v: 3}. What is prob of picking 2 y? 1/5 Three letters picked without replacement from uzhluflfo. Give prob of picking 1 h, 1 o, and 1 f. 1/42 What is prob of picking 1 u, 1 y, and 1 k when three letters picked without replacement from yykjhuy? 3/35 Three letters picked without replacement from {e: 1, s: 2, p: 5, d: 1, t: 1}. What is prob of picking 3 p? 1/12 Three letters picked without replacement from jnjnjjnnjjjnjjjjjjn. What is prob of picking 3 j? 286/969 Calculate prob of picking 1 g, 1 m, and 2 n when four letters picked without replacement from {r: 1, g: 1, m: 2, n: 4}. 6/35 Two letters picked without replacement from eveezvvee. Give prob of picking 2 e. 5/18 Four letters picked without replacement from {f: 7, h: 2, q: 4}. What is prob of picking 1 h and 3 f? 14/143 What is prob of picking 4 u when four letters picked without replacement from {s: 12, u: 3}? 0 Three letters picked without replacement from {l: 2, k: 2, d: 1, g: 1, x: 6}. What is prob of picking 2 k and 1 g? 1/220 Two letters picked without replacement from {r: 8, m: 5}. Give prob of picking 1 m and 1 r. 20/39 What is prob of picking 1 w, 1 l, and 1 d when three letters picked without replacement from {l: 11, w: 2, d: 2}? 44/455 What is prob of picking 1 i, 1 q, and 1 z when three letters picked without replacement from izqyyhzizyizzyiuy? 1/34 What is prob of picking 2 o when two letters picked without replacement from {o: 4, u: 3, c: 4}? 6/55 Two letters picked without replacement from oco. Give prob of picking 2 o. 1/3 Three letters picked without replacement from {l: 8, m: 5}. Give prob of picking 1 l and 2 m. 40/143 Four letters picked without replacement from lllllllvvllllvllvvl. What is prob of picking 3 v and 1 l? 35/969 Calculate prob of picking 2 y and 1 s when three letters picked without replacement from {y: 7, s: 3, h: 3}. 63/286 Two letters picked without replacement from ucuu. Give prob of picking 1 u and 1 c. 1/2 What is prob of picking 1 m and 1 z when two letters picked without replacement from {z: 1, e: 4, m: 5, p: 3, d: 1, f: 3}? 5/136 Calculate prob of picking 2 o and 1 b when three letters picked without replacement from wbmmjoro. 1/56 Calculate prob of picking 1 w and 2 q when three letters picked without replacement from {q: 2, w: 1, l: 2}. 1/10 What is prob of picking 1 q and 1 a when two letters picked without replacement from qmgqsaqqqsgq? 1/11 Three letters picked without replacement from {n: 2, f: 3, s: 3, c: 2, l: 1, k: 1}. What is prob of picking 1 l, 1 c, and 1 n? 1/55 Three letters picked without replacement from dtddqdttqd. Give prob of picking 1 t and 2 q. 1/40 Four letters picked without replacement from zrrrzriii. Give prob of picking 2 i and 2 z. 1/42 Two letters picked without replacement from {o: 3, r: 1, t: 1}. What is prob of picking 2 o? 3/10 Two letters picked without replacement from ippibbggbbp. What is prob of picking 2 b? 6/55 What is prob of picking 2 t when two letters picked without replacement from ttvt? 1/2 Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {z: 1, a: 2, v: 2, u: 4, w: 1}. 4/45 Two letters picked without replacement from {h: 1, l: 1, z: 1, n: 1, s: 2, a: 1}. Give prob of picking 1 n and 1 h. 1/21 Three letters picked without replacement from wjwjhhhwhjhwhjhw. What is prob of picking 3 j? 1/140 Three letters picked without replacement from {c: 7, d: 3, r: 2, j: 1, g: 1}. What is prob of picking 1 j and 2 d? 3/364 Calculate prob of picking 4 k when four letters picked without replacement from {k: 9}. 1 Three letters picked without replacement from {s: 5, w: 5, u: 8}. What is prob of picking 1 w and 2 s? 25/408 Calculate prob of picking 3 k when three letters picked without replacement from kskkkssskskks. 35/286 Two letters picked without replacement from rrrrrorrrrrrrrrrrrr. Give prob of picking 1 o and 1 r. 2/19 Three letters picked without replacement from {x: 8, j: 5}. What is prob of picking 2 x and 1 j? 70/143 What is prob of picking 1 y and 1 j when two letters picked without replacement from {b: 12, y: 3, j: 3}? 1/17 Calculate prob of picking 1 x and 1 o when two letters picked without replacement from {o: 2, x: 2}. 2/3 Four letters picked without replacement from {t: 3, e: 1, z: 3, u: 5}. What is prob of picking 1 z and 3 t? 1/165 Calculate prob of picking 2 j and 1 i when three letters picked without replacement from ijijijjjiiiii. 40/143 Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {o: 1, n: 1, g: 2, a: 1}. 1/5 Four letters picked without replacement from {v: 4}. Give prob of picking 4 v. 1 Four letters picked without replacement from wttwwvvvwdwwwt. What is prob of picking 2 t, 1 w, and 1 v? 9/143 What is prob of picking 2 d and 1 g when three letters picked without replacement from {t: 2, d: 10, g: 3}? 27/91 Calculate prob of picking 1 g, 1 e, and 1 r when three letters picked without replacement from wwreewwgwwwwww. 1/182 Three letters picked without replacement from ooyyosp. Give prob of picking 1 s and 2 y. 1/35 Four letters picked without replacement from {b: 2, y: 3, d: 2, j: 4}. Give prob of picking 2 b, 1 d, and 1 j. 4/165 Two letters picked without replacement from lllllllllmlllllllmlm. What is prob of picking 2 m? 3/190 Two letters picked without replacement from kvlkvelvvllvrev. Give prob of picking 1 l and 1 r. 4/105 What is prob of picking 1 i and 1 x when two letters picked without replacement from ixxxxxxixxxx? 10/33 Two letters picked without replacement from vyrpkyb. What is prob of picking 1 v and 1 k? 1/21 Calculate prob of picking 1 d and 1 e when two letters picked without replacement from ccerd. 1/10 Two letters picked without replacement from qqqxqqqqqxqqqqqqxq. Give prob of picking 2 x. 1/51 What is prob of picking 1 d, 2 v, and 1 a when four letters picked without replacement from {r: 2, k: 1, d: 1, i: 1, a: 1, v: 2}? 1/70 Two letters picked without replacement from pnpnnn. What is prob of picking 2 p? 1/15 Four letters picked without replacement from {z: 4, b: 3, x: 1}. What is prob of picking 4 z? 1/70 What is prob of picking 1 n, 2 v, and 1 l when four letters picked without replacement from {h: 1, y: 2, n: 3, l: 3, j: 3, v: 2}? 9/1001 Calculate prob of picking 1 t and 1 o when two letters picked without replacement from xtoktoxxnootnonnokon. 21/190 Three letters picked without replacement from ccaacag. Give prob of picking 1 a and 2 c. 9/35 Two letters picked without replacement from {l: 3, v: 3}. What is prob of picking 2 v? 1/5 Two letters picked without replacement from tttttt. Give prob of picking 2 t. 1 Four letters picked without replacement from eeekkeelkkkq. What is prob of picking 1 k, 2 e, and 1 l? 10/99 What is prob of picking 2 f, 1 v, and 1 e when four letters picked without replacement from bbhevvhbfhfefvefbbke? 24/1615 Four letters picked without replacement from hccihhhihcchhch. What is prob of picking 2 h and 2 c? 8/39 Calculate prob of picking 1 p and 1 v when two letters picked without replacement from vvpvvvpvvvp. 24/55 Calculate prob of picking 2 d and 1 j when three letters picked without replacement from {u: 9, d: 3, j: 4}. 3/140 What is prob of picking 1 k and 2 y when three letters picked without replacement from {l: 2, m: 2, y: 2, k: 2}? 1/28 Two letters picked without replacement from babbbbbb. What is prob of picking 1 b and 1 a? 1/4 Three letters picked without replacement from nlnll. What is prob of picking 3 l? 1/10 Two letters picked without replacement from {e: 1, t: 2, o: 1, f: 1, z: 2}. What is prob of picking 1 f and 1 o? 1/21 Calculate prob of picking 2 t and 1 g when three letters picked without replacement from mtgtggttgmmgg. 18/143 Two letters picked without replacement from snsn. What is prob of picking 2 n? 1/6 Four letters picked without replacement from {f: 1, x: 1, i: 2, a: 3}. Give prob of picking 3 a and 1 f. 1/35 Three letters picked without replacement from kkkkkkkkkk. What is prob of picking 3 k? 1 Two lette
{ "pile_set_name": "DM Mathematics" }
? 9903334 What is the least common multiple of 7 and 836703? 836703 Calculate the least common multiple of 14196 and 153510. 51886380 What is the lowest common multiple of 101136720 and 165360? 1314777360 What is the common denominator of 101/9323490 and 93/6215660? 18646980 Find the common denominator of 83/44983240 and -29/6. 134949720 What is the common denominator of 59/31980 and 149/20670? 1694940 Calculate the lowest common multiple of 1890 and 20698440. 186285960 Find the common denominator of -133/3656202 and 1/297. 32905818 What is the smallest common multiple of 11712 and 11044416? 11044416 What is the common denominator of -107/7118540 and 59/684475? 35592700 Calculate the smallest common multiple of 109005 and 60. 436020 Find the common denominator of -211/54510120 and 86/44970849. 1798833960 What is the least common multiple of 720 and 864? 4320 Calculate the smallest common multiple of 69650 and 125209805. 1252098050 What is the common denominator of 25/3983607 and -31/2? 7967214 Calculate the common denominator of -109/392920 and 131/96. 4715040 Calculate the least common multiple of 5856 and 201892. 295569888 What is the smallest common multiple of 5870 and 33775980? 33775980 Calculate the smallest common multiple of 12015 and 39249. 588735 Calculate the lowest common multiple of 12 and 5580867. 22323468 What is the lowest common multiple of 12755625 and 150? 25511250 Find the common denominator of -33/2976676 and 34/1149. 8930028 Calculate the lowest common multiple of 797550 and 127608. 3190200 Calculate the common denominator of -167/2417226 and 19/588. 33841164 What is the lowest common multiple of 2725146 and 102? 46327482 What is the common denominator of 24/164933 and -9/39491? 2803861 Find the common denominator of 23/44832 and -127/4428. 16543008 Calculate the common denominator of -99/1033558 and -27/148. 2067116 What is the common denominator of 105/4572376 and -41/15624? 288059688 Calculate the least common multiple of 191730 and 22940. 439828620 Find the common denominator of 121/12202866 and 101/20338110. 61014330 Find the common denominator of 41/33031944 and -113/103104. 264255552 Calculate the lowest common multiple of 35 and 5213355. 5213355 Find the common denominator of -1/104923130 and -8/490295. 104923130 Find the common denominator of 97/39369330 and -125/24472. 157477320 Calculate the common denominator of 26/42614627 and 13/7748114. 85229254 What is the least common multiple of 342 and 1702224? 32342256 Find the common denominator of 77/344535 and 1/1653768. 8268840 Calculate the smallest common multiple of 10 and 4614870. 4614870 What is the common denominator of 51/4927390 and 101/2900? 49273900 Calculate the lowest common multiple of 142140 and 10197. 4690620 What is the least common multiple of 175488376 and 6? 526465128 Calculate the common denominator of -22/2083021801 and 62/9. 18747196209 What is the least common multiple of 122825 and 339065? 489948925 Calculate the lowest common multiple of 341884 and 143249396. 143249396 What is the common denominator of 43/1130449 and 44/4437? 10174041 What is the least common multiple of 144067 and 1545446? 16999906 Calculate the common denominator of 87/110 and -97/8501588. 467587340 What is the smallest common multiple of 2668 and 3104392? 71401016 What is the common denominator of -11/1865770 and -41/805? 300388970 What is the smallest common multiple of 5101388 and 22? 56115268 What is the common denominator of -97/128940 and 99/5565910? 33395460 Calculate the lowest common multiple of 7170410 and 4446. 64533690 Calculate the least common multiple of 54852 and 588. 383964 Calculate the least common multiple of 10476 and 216. 20952 Calculate the lowest common multiple of 1277937 and 14094. 74120346 Calculate the lowest common multiple of 3017456 and 92560. 15087280 Calculate the smallest common multiple of 720 and 812620. 29254320 Calculate the smallest common multiple of 529890 and 2463. 435039690 What is the least common multiple of 540488 and 4888? 25402936 Calculate the common denominator of 31/100 and -29/6130272. 153256800 Find the common denominator of 139/2626740 and 131/120. 5253480 Calculate the smallest common multiple of 358 and 33835. 12112930 What is the smallest common multiple of 3174 and 695241? 735564978 Calculate the common denominator of 71/830844 and -27/3140. 4154220 What is the common denominator of -13/1369708112 and 97/24? 4109124336 Calculate the least common multiple of 1488710 and 37366621. 373666210 What is the common denominator of -64/115905 and 44/10305? 79626735 What is the least common multiple of 3733080 and 40950? 391973400 What is the smallest common multiple of 231 and 10669? 2464539 Calculate the common denominator of -119/702 and -7/2730078. 2730078 What is the lowest common multiple of 31317 and 13278408? 13278408 What is the least common multiple of 1363984 and 596743? 9547888 Find the common denominator of -79/27174800 and 63/53024. 54349600 What is the lowest common multiple of 119772 and 1057986? 6347916 What is the common denominator of -70/999 and -133/7711362? 285320394 What is the common denominator of 33/2933714 and 109/46740? 88011420 What is the lowest common multiple of 1726095 and 5178285? 5178285 What is the common denominator of -53/26491215 and -8/21? 185438505 Find the common denominator of 59/8127 and -59/457520. 12353040 Find the common denominator of -149/16512 and 77/38184000. 76368000 Calculate the common denominator of 23/26676 and -99/25172. 167872068 Calculate the common denominator of 16/2710725 and -145/3666. 70478850 Calculate the least common multiple of 10518657 and 1207059. 73630599 Find the common denominator of 59/6007872 and 145/6384. 799046976 Calculate the least common multiple of 34653 and 88607721. 88607721 Find the common denominator of 83/56745 and 59/3042. 1475370 Calculate the least common multiple of 28980 and 118230. 16315740 Calculate the lowest common multiple of 4664610 and 10365800. 93292200 What is the least common multiple of 30550 and 100157? 65102050 Calculate the least common multiple of 534528 and 48998400. 146995200 What is the least common multiple of 20790 and 127215? 5343030 What is the common denominator of 21/505 and 40/122109? 610545 What is the common denominator of -83/16 and 1/262736796? 1050947184 Find the common denominator of 73/143808 and -19/192. 143808 What is the smallest common multiple of 21189684 and 623226? 21189684 Calculate the lowest common multiple of 1626 and 1273344. 345076224 Calculate the least common multiple of 342902596 and 1009. 342902596 Calculate the least common multiple of 1309680 and 1527960. 9167760 Calculate the lowest common multiple of 1750 and 79960. 13993000 Calculate the common denominator of -107/125448440 and -103/1135280. 250896880 What is the smallest common multiple of 475 and 247400? 4700600 Calculate the smallest common multiple of 14571900 and 4050. 14571900 Find the common denominator of -173/25020 and -49/860688. 4303440 Calculate the smallest common multiple of 55 and 2981880. 2981880 What is the lowest common multiple of 32600 and 5264900? 10529800 Calculate the common denominator of 61/1173165 and 59/1749. 683955195 Calculate the lowest common multiple of 84570003 and 3240230. 845700030 What is the lowest common multiple of 4343 and 81141? 8195241 Calculate the common denominator of -11/415396 and -101/15776. 56493856 Calculate the least common multiple of 65349 and 279. 2025819 Calculate the common denominator of 69/1144 and -59/8217664. 90394304 What is the common denominator of 83/11890 and -87/81590? 2366110 Calculate the common denominator of 52/1450967 and -23/36579. 4352901 Calculate the smallest common multiple of 12 and 40321768. 120965304 Find the common denominator of 75/5728 and -59/461104. 922208 Find the common denominator of 47/71700 and -151/544920. 2724600 What is the smallest common multiple of 1224622 and 56? 4898488 Calculate the common denominator of 89/38442 and 35/48031. 42939714 Calculate the smallest common multiple of 8 and 9871836. 19743672 Calculate the lowest common multiple of 2583 and 301021. 111076749 Find the common denominator of -88/441 and 109/94006304. 846056736
{ "pile_set_name": "DM Mathematics" }
or of l and 5/4. 12 Let z = -106 + 195. Suppose -z = 4*c + 55. Calculate the common denominator of (6/c)/((-1)/67) and -19/14. 42 Let n = -3 + 35. Suppose 8221*a - 8239*a = -36. What is the least common multiple of n and a? 32 Suppose -5*r + n + 24 = 0, 4*n = -4*r + r - 4. Let m = r - -4. What is the smallest common multiple of 22 and m? 88 Let f = 1051/10 - 105. Calculate the common denominator of -77/30 and f. 30 Let z be 2/4 - (-19)/(-2). Let k be z/4343*(-1)/(-3). Let u = 152107/147662 + k. Calculate the common denominator of u and -95/8. 136 Suppose n = -3*a + 49, -56 = -a - 3*a + n. Let x = 12 + 12. What is the least common multiple of x and a? 120 Let p = -14 + 0. Let h = 29 + p. What is the smallest common multiple of 9 and h? 45 Let j be 10/4*(-1 + 3). What is the common denominator of ((-24)/(-28))/(j/70) and -37? 1 Suppose 0 = -q - 0*q - 1, -4*q - 1012 = a. What is the lowest common multiple of 32 and a/(-96) + (-2)/4*-3? 96 Let j = 11535 - 692077/60. Find the common denominator of j and 151/60. 60 Let h = 27 + -29. Calculate the least common multiple of h - 6/(-4)*10/3 and 5. 15 Find the common denominator of (19/20*-1)/(10/(-120)) and -41/4. 20 Let q = 1400 + -1395. Suppose 4*o - 35 = 1. What is the lowest common multiple of o and q? 45 Suppose 5*o + 20 = 0, 13 + 3 = i - o. What is the lowest common multiple of 94 and i? 564 Let w = 8761738909243/7788 - 1125030675. Let n = w + -1/649. Find the common denominator of n and 83/10. 60 Let i = -6969/11 + 635. Let f = -3017/65 - -450/13. Find the common denominator of f and i. 55 Suppose 4*x - 4*f = 60, -x - 50*f + 46*f + 10 = 0. Suppose 4*z - 10 = 2*z, 3*z - 5 = 5*d. Calculate the smallest common multiple of d and x. 14 Let k = -3381 + 33763/10. Let s = 1172 + -2269/2. What is the common denominator of s and k? 10 Suppose 3*z + 20 = 7*z. Suppose -2*q + 2*k - 3 = 3, -z*k = -4*q - 17. What is the least common multiple of 1 and q? 2 Suppose 12 = r - 2*q, -4*r - q + 6 + 15 = 0. Calculate the common denominator of -43/12 and (-9)/2 + 3 + (-134)/r. 12 Let b = -56 + 59. Suppose 6*u = 4*u - 16. What is the lowest common multiple of b and -11 - u - (-46)/2? 60 Suppose 3*a + 0*a + 2*d - 3 = 0, -5*a - 2 = d. Calculate the smallest common multiple of (a - (0 - 2)) + (31 - 28) and 1. 4 Find the common denominator of (9 - 94/(-16)) + -8 and 41/176. 176 Let n = 2198/9 + -241. Let q = 4567/5 - 906. What is the common denominator of q and n? 45 Let d(r) = r**3 - 41*r**2 + 44*r - 126. What is the smallest common multiple of d(40) and 2? 34 Suppose 0 = -4*h + n + 2*n + 54, -5*h = 2*n - 56. Let q be 45351/h + 2/4. Let p = 3756 - q. Find the common denominator of 1/5 and p. 20 Suppose f - 2*f - 1134 = -u, 5*u = 3*f + 3410. Let d = -2357/2 - f. Find the common denominator of d and 123/10. 10 What is the common denominator of 65/56 and 618/(-18)*(892/224 - 4)? 168 Let x = 16636453579/569 - 29238093. Let s = 1/1138 + x. Calculate the common denominator of -53/4 and s. 4 Suppose 30 = 5*l + l. Suppose 27 = l*k - 18. Calculate the least common multiple of k and 6. 18 Calculate the smallest common multiple of (188/141)/((-4)/3) + 277 and 30. 1380 Suppose 28*y = 44*y - 64. What is the lowest common multiple of y and 115? 460 Let o = 871817/54285 + -530/33. Let x = 41117/13160 - o. Calculate the common denominator of 214/36 + (-2)/2 and x. 72 Let n = 34 - 30. What is the smallest common multiple of 8 and (n + -1 + -2)*6? 24 Find the common denominator of (-112)/84*(-354)/(-16) and (-1)/3 + 205/(-42). 14 Let u(t) = t**3 - 13*t**2 + 2*t - 14. Let p = 8 - 6. Suppose -z - 1 = 3*x - 14, -3*x - p = 4*z. Calculate the smallest common multiple of u(13) and x. 12 Suppose -2*k - 9 = 3*f - 19, 0 = 4*k + 16. Suppose -x + 0*x + 4*u - 3 = 0, u - 12 = -2*x. Calculate the least common multiple of x and f. 30 Let l(j) = 12*j + 21. Let g be l(-5). Let h = 56 + g. Find the common denominator of h and 12/5. 5 Suppose 10 - 170 = -4*n. Let a = -26 + n. What is the smallest common multiple of 14 and a? 14 Let j = -5419/966 + -91/69. Let c be (-1572)/304*(-4)/(-6). Let q = c - 1/19. What is the common denominator of j and q? 14 Suppose -12*f - 114*f = -8064. Calculate the lowest common multiple of 10 and f. 320 Calculate the common denominator of (-2)/(-3) - (-4390)/(-1500) and 54/5. 50 Let f = 1333/14 + -749/8. What is the common denominator of f and 65/88? 616 Let g = -38 - -55. Let d(z) = 5 + 0 - 2 + 2 - z**3 + g*z**2. Calculate the least common multiple of 9 and d(17). 45 Let f = 185 - 216. What is the common denominator of -37/277 and f? 277 Let u(x) = -x**2 + 9*x + 13. Let v be u(10). Suppose v*o - q - 41 = 0, -4*q - 5 = 15. What is the least common multiple of o and 296? 888 Let o be (-1310)/(-2920) - 1/(-4). Let d = -3943/730 - o. What is the common denominator of 37/12 and d? 60 Let j(p) = p**3 + p**2 - p + 20. Let f be j(0). Let m be (f/(-50))/(4/10). Find the common denominator of m + -1 - (-375)/(-36) and 85/8. 24 What is the common denominator of -6*7/28 - 151/(-44) and 65/2? 44 Let v(m) = m**2 + 3*m + 3. Let y be v(-3). Suppose y*f - 24 = f. What is the lowest common multiple of 33 and f? 132 Let l = -75 + 77. Calculate the smallest common multiple of 20 and (-2 - -2 - l)/((-2)/188). 940 Let u = 19 - 44. Let g = -918 + 922. What is the least common multiple of g and (3/15 - 1)*u? 20 Let i(o) = -o**3 + 21*o**2 - 21*o + 22. Calculate the smallest common multiple of i(20) and 40. 40 Calculate the common denominator of (-56)/(-8) + 664/(-60) and -71/369. 1845 Suppose 6*o - 8*o = 2. Find the common denominator of 54/5 and o/3 + (-1256)/(-72) + -9. 45 Let r = -1655 + 8283/5. Find the common denominator of r and 38/261. 1305 Let j = 60 - 36. Let q = -35 + j. Let p = q + 20. Calculate the smallest common multiple of 3 and p. 9 Let b(o) = -1 - 4*o**2 + 5*o**2 + 0 + 8*o**3. Let x = -5 + 6. Calculate the lowest common multiple of 3 and b(x). 24 Suppose 2*i + 6 = 4*i. Suppose -i*q - 9 = -33. What is the smallest common multiple of (10 - 2 - 2) + -4 + 2 and q? 8 Let s be 0*(15/5 + -4). Suppose -x + 5*d + 13 = s, -3*d - 3 = 2*x - 16. Calculate the least common multiple of x and 9. 72 Suppose -514 - 366 = -22*t. What is the least common multiple of t and 280? 280 Suppose 5*o - 35 = -0*o + i, 5*o - 60 = -4*i. Suppose 58 = 5*s + o. What is the lowest common multiple of 2 and s? 10 Find the common denominator of 91/178 and 12/(-5)*(2 + (-126)/(-27)). 178 Suppose -4*q + m = -17, q + 2*m - 11 = -0*q. Suppose -20 = q*n - 130. Let i = n - 17. What is the smallest common multiple of 6 and i? 30 Let k be (-6)/(-27) + (2 - (-65044)/(-29124)). Let a = -26877/16180 - k. Find the common denominator of -63/44 and a. 220 Suppose -7*s - 423 = 2*s. Let v = s + 51. What is the smallest common multiple of v and 0 - (3 + -5)*4? 8 Let h = -1418362 - -21264748/15. Let r = 1423/2 + h. Find the common denominator of 46/3 and r. 30 Calculate the common denominator of (-18)/2 - (-39030)/4350 and -157/30. 870 Suppose -5*r + 7 = -j - 1, 4*r - 16 = -4*j. What is the smallest common multiple of 94 and r? 94 Let n = 1784 + -1676. What is the smallest common multiple of 396 and n? 1188 Suppose -3*z + z + 3*h = 22, 5*h - 35 = 3*z. Calculate the lowest common multiple of 4 and (z + -6)/((-5)/10). 44 Suppose 3*m - 2*y = -0*y + 34, 4*m + 3*y - 17 = 0. Let t(o) = o**2 + 7*o - 37. Let d be t(-10). Let z = d + 85. What is the lowest common multiple of z and m? 312 Let s(j) = -j**3 + 2*j + 1. Suppose 139 - 149 = -r. What is the least common multiple of s(-2) and r? 10 Suppose -9 = -2*u + 9. Suppose i - u = -5. Suppose -i*y = -4 - 4. Calculate the lowest common multiple of y and 10. 10 Let k = 728 - 718. Calculate the least common multiple of 538 and k. 2690 Calculate the lowest common multiple of 5 - 2704/(-24) - (-2)/(-3) and 15. 585 Let v = 447 - 361. Calculate the lowest common multiple of v and 22. 946 Calculate the common denominator of -15/2 and 2300/1768 - (8/26)/2. 34 Find the common denominator of (-1851)/(-270) + (-14)/105 and 77/30. 90 Find the common denominator of 1/6 - 16409/7320 and -71/16. 80 Let x = -55 + 60. Suppose -x*o - q = -367, 4*o - q + 36 = 335. Calculate the smallest common multiple of o and 5. 370 What is the least common multiple of 4/((-16)/20)
{ "pile_set_name": "DM Mathematics" }
e 0 = -d - u*d for d. 0 Let w(u) = -u**2 + 6*u + 1. Let p be w(6). Let h = -12 - -16. Suppose -h*a = -13 + p. Solve a*n + 4 = -2 for n. -2 Let q(s) = -s**2 + 6*s + 7. Let z be q(7). Suppose 3*b - 5*b = z. Solve 2*r + r - 6 = b for r. 2 Let d be (3/(-5))/((-1)/5). Solve -d*z = -15 + 6 for z. 3 Let q be 5/(-3) - (-2)/(-6). Let t = q + 2. Suppose 3*d - 4*d + 37 = -5*k, -2*d = 3*k - 9. Solve 4*i + t*i = -d for i. -3 Suppose n + 0 - 1 = 0, -10 = -5*i + 5*n. Let s = 3 - i. Solve d - 6 + 1 = s for d. 5 Let z = -10 + 15. Let l be ((-6)/z)/(3/(-15)). Solve -1 = 5*b - l for b. 1 Suppose 4*m = -0*m. Suppose 2*t - 7*t + 25 = m. Solve 0 = -t*f + 2 + 23 for f. 5 Suppose 3*n - 79 = 41. Suppose 2*x - 4*y = -2*x + n, 5*x + 4*y = 5. Suppose x*m + 3*d - 37 = 0, 3*d = 3*m + 2*m - 13. Solve -8 + 3 = -m*z for z. 1 Suppose -3*z = -z - 4. Suppose -z*o + 68 = 5*k, k = -o + 21 - 5. Suppose s - k = -s. Solve -26 + s = 5*l for l. -4 Let g(c) = c**2 - 3*c. Let w be g(4). Suppose x - 3*u + 24 = -3*x, w*x - 2*u + 20 = 0. Let n be -3 - (-9 + 0/x). Solve 4*k = 22 - n for k. 4 Suppose 0 = y + 3*y + i - 19, 0 = y - i - 1. Suppose -3*g - y*z + 12 = -5*g, 21 = 4*g + z. Solve -t = t + g for t. -2 Let r be (-1)/(-3) - (-32)/3. Let c = r + -7. Solve -5*d = -21 - c for d. 5 Let c be (-2 - 20/(-12))*-9. Solve -25 = -2*w - c*w for w. 5 Let i be 8/6 + 4/6. Solve 2*y = -i - 6 for y. -4 Let o = -4 - -6. Suppose o*m = -5*z + 55, z = -4*m + 4*z + 71. Suppose -6*y = -2*y - m. Solve i - y = -1 for i. 4 Let w be 2 + (-3 - (-3 + 1)). Solve -w = 3*o + 11 for o. -4 Let i = -82 - -142. Suppose 4*t - 8*t + i = 0. Solve -6 = 3*f - t for f. 3 Let j(x) = x**2 + 4*x + 2. Let u be (-6 - -2)/(2/2). Let h be j(u). Let q be h*-3*(-4)/6. Solve -q*p = -0 - 4 for p. 1 Let g be ((-1)/(-2))/(3/24). Suppose -15 = -g*p - p. Solve -t - p*t = -20 for t. 5 Suppose 2*k = i + 4, 4*i = 2*k + 1 - 5. Solve 2*t - 1 + 5 = i for t. -2 Suppose -2*x + 6 = 4*f, 8*x + f - 5 = 4*x. Solve 4 = -c + x for c. -3 Suppose o = a, 3*a + 4 = 4*o - 1. Let i(w) = -2*w + 5. Let t be i(4). Let k = a + t. Solve s - k*s - 5 = 0 for s. -5 Let m(l) = -l**3 + 3*l**2 + 3. Let p be m(3). Solve -p = -g + 2 for g. 5 Let d = 1 - -2. Suppose d*i - 7 = -1. Solve j - i*j - 2 = 0 for j. -2 Let d(u) = -u - 3. Let m be d(-6). Let r(w) = -w**3 + 2*w**2 - 1. Let k be r(1). Solve m*s - s = k for s. 0 Suppose -a - 15 = -6*a, 2*u = 5*a - 15. Suppose -13 - 7 = -5*h. Solve -h*w = -u*w for w. 0 Let t(k) = 2*k + 7. Let u be t(4). Solve -u = -h + 6*h for h. -3 Suppose 4*w = 9*w. Solve -z - 2*z + 6 = w for z. 2 Let i(k) be the first derivative of k**4/4 - 3*k**3 + 7*k**2/2 + 10*k + 4. Let g be i(8). Solve j - 12 = -g*j for j. 4 Suppose 0 = 3*o + o. Suppose -5*y + 28 = -2*y - v, 28 = 5*y + 3*v. Suppose -2*k = 3*u + u - 6, -2*u + 4*k + y = 0. Solve -i + o = -u for i. 2 Let f(q) = 6*q + 9. Let z = 13 + -19. Let n be f(z). Let v be 3*3/n*-3. Solve j - v = -4 for j. -3 Suppose 5*c - 12 = 3. Suppose -c*s = -s. Solve -3*f + 3 = -s for f. 1 Let w(y) = y + 8. Let r be w(-5). Suppose 0 = -p + b, -r*b + 10 = 2*b. Solve -p*h - h = -12 for h. 4 Suppose 0 = 4*v - 9 - 23. Suppose -4*g + v = -0. Solve -g*z = z + 12 for z. -4 Let y be (-2)/4*1*-6. Solve -y = -p - 2*p for p. 1 Suppose -3*s - p = -3, -s - 4*p = 13 - 3. Let z be -3 - (-3)/2*s. Solve -2*l + 9 - 1 = z for l. 4 Suppose -23 = -4*f + 5*n, 0*f + 4*n = f - 14. Solve 0*m - f*m + 10 = 0 for m. 5 Suppose 4*y - 16 = 3*y. Suppose -2*x = -2*n + 3*n - 8, 2*n - y = x. Let k(j) = -3*j**2 + 35*j - 18. Let r be k(11). Solve n*t - r*t = 8 for t. 2 Suppose 9 = -2*s + 1, 0 = -3*o + 5*s + 80. Solve -7*i + 3*i - o = 0 for i. -5 Let u(o) = o**3 + 9*o**2 - 2*o + 12. Let j be u(-9). Let n be 1/((-1)/(-1)) + 9. Let k = j - n. Solve s - k = -3*s for s. 5 Suppose -4*c - 1 = -13. Suppose 5*j - 63 = c*z + 9, 2*z = 4*j - 56. Solve -3*y = -0*y - j for y. 4 Let i = -45 - -40. Let c(f) = 6*f + 0*f**3 + 8 - 1 + 6*f**2 + f**3. Let k be c(i). Solve 0 = k*q + 1 - 7 for q. 3 Suppose -5*p - 9 = -44. Solve 0 = v - 3 + p for v. -4 Let p be -4 + (5 - 0) + 1. Solve p*k - 17 = -9 for k. 4 Let n = 11 - 18. Let p(h) = h + 5. Let l be p(n). Let j = l - -4. Solve -7 = j*v + 1 for v. -4 Let h(b) = b**2 - b + 1. Let x(m) = m**2 - 15*m + 20. Let d(l) = -2*h(l) + x(l). Let r be d(-14). Solve -1 = u - r for u. 3 Suppose 2*v - 8 = 32. Solve -4*o - o = v for o. -4 Suppose l + 14 = 2*f, -5*f - 2*l = -3*f - 26. Solve -4*i - f = -i for i. -3 Let l = 2 + 5. Let y(g) = -g**2 + 8*g - 2. Let k be y(l). Suppose 0 = -k*u - 0*u. Solve u*c = c for c. 0 Suppose -3*n + 5*f + 6 = 0, -3 = -2*n - 2*f + 1. Suppose 10*u = 7*u. Solve q - n*q = u for q. 0 Let c = 25 - 21. Suppose 0 = t + 3*t - 20. Suppose 2*p + 2 - 16 = 0. Solve -c*w + p + t = 0 for w. 3 Suppose i + 3*c - 20 = 0, -5*i - 3*c = c - 45. Let q be (i + -2)*(-2)/(-3). Solve q = -3*y - 1 for y. -1 Suppose 5*o + 9 = 2*o. Let i(a) = a**2 + 3*a + 3. Let g be i(o). Suppose z - 4 = -0*z - t, -t = -g*z. Solve 3*j - 2 = z for j. 1 Let v be -3 - (-30)/8 - (-6)/(-8). Solve 4*w = -4 - v for w. -1 Let y be 0 - 3/(9/(-30)). Let m be 75/y*(-4)/(-6). Suppose m*h - 25 = -5. Solve 3 = -h*r - 5 for r. -2 Let b(q) = q**3 - 6*q**2 + 4*q + 5. Let s be b(5). Suppose -2 = -n, -2*n + s = -2*o + 10. Let t = o - 3. Solve 0 = -t*i + 3*i + 2 for i. 2 Let f = 166 + -154. Solve -5*i - f = 13 for i. -5 Let n be 85/25 - (-6)/(-15). Solve 0*d = n*d for d. 0 Let h = 23 - 15. Suppose -u - 3*g = -h*g + 9, 5*u - g - 3 = 0. Solve -u = -3*i - 13 for i. -4 Suppose 6*l = 8 + 4. Solve 5*c - 27 + l = 0 for c. 5 Let r(w) = w. Let b be r(0). Suppose -z + 4*k = 3 - 10, -4*k = 4*z - 8. Let f be 2*z*(-8)/(-12). Solve b = u + f*u - 5 for u. 1 Let w(v) = 2*v - 15. Let n be w(9). Let r be (-15)/(-9) - (-1)/3. Solve n = -o - r*o for o. -1 Let g(c) = -3*c - 5 + c + 2*c**2 + 3*c + 2*c. Let z be g(-4). Solve v - 4*v - z = 0 for v. -5 Let o = 2 + -1. Let d be (((-200)/(-5))/5)/2. Solve x + o = -d for x. -5 Let b = -8 + 14. Suppose 2*a + 3 - 5 = 2*f, 0 = 2*a - 4*f + 6. Suppose -a*d = -c + 4, 20 = 5*c - 6*d + 2*d. Solve -2 - b = c*t for t. -2 Let f be (-3)/(4/((-512)/(-12))). Let m be (-1 + f/4)/(-1). Solve 0*n = -3*n + m for n. 3 Let z = -4 + 7. Solve z*j = 4*j + 2 for j. -2 Suppose 3 = 4*y - 17. Suppose 0 = 5*r - y - 15. Solve -r*j + 0 = 4 for j. -1 Let s be (-1 - 0)*(3 + -10). Let l be (1 + -17)*s/(-14). Solve -b - l = 3*b for b. -2 Suppose -4*s + s = 4*g - 8, 4*g = -4*s + 4. Solve g = -2*a - 3*a for a. -1 Let q = -67 + 70. Solve 13 - q = -5*y for y. -2 Let x = -10 + 28. Solve 5*o + x - 3 = 0 for o. -3 Suppose 3*j - 54 = -0*j. Suppose 2*k + 2*a + j = -3*k, -4*a + 16 = -3*k. Let g = k - -6. Solve -m + g = -3*m for m. -1 Suppose -9 = -4*m + 5*b, -2*b = 3*m - 0 - 24. Let v(o) = o**2 - 5*o + 2. Let z be v(m). Let w = 15 - z. Solve -2*l = -w*l for l. 0 Let g be (1 + 0)/((-3)/(-9)). Let y(w) = -w**3 + 8*w**2 - 11*w - 6. Let l be y(6). Suppose 0 = -3*t - l*t. Solve t = -g*j + j - 4 for j. -2 Let u(q) be the second derivative of -q**3 + q**2 + q. Let k be u(-1). Solve -x = x - k for x. 4 Let b = 11 - 9. Suppose -5*x + b*x + 6 = 0. Let p be (-4)/6 + 64/6. Solve 0 = -x*h + 4*h + p for h. -5 Let u be ((-10)/6)/((-1)/3). Let y = 9 - u. Suppose -5*z - y = 2*w - 34, -75 = -5*w + 4*z. Solve -4*r - r = w for r. -3 Let j = 20 + -11. Let p be (12/j)/((-2)/(-3)). Suppose p*l + 5*n - 26 = 0, -n + 0 = -4*l + 8. Solve a = -0*a + l for a. 3 Let p(w) = -4*w - 4. Let c be p(-2). Solve -l - l = -c for l. 2 Let k be 5*(54/(-15))/(-3). Let i be (k + -3)*(2 - 1). Let g(d) = -d**3 - 5*d**2 - 6*d. Let b be g(-4). Solve b*q - 5*q = i for q. 1 Let l(t) = 2*t - 2. Let d be l(7). Suppose 4 - d = -2*w. Solve 2*z = -2*z + w for z. 1 Let k be (35/4)/7*12. Solve -5*w = -0 - k for w. 3 Let i be 5*((-16)/10)/(-1). Suppose -13 = -4*v - 1. Solve v*j - i = -j for j. 2 Let j = 30 - 30. Solve j = -4*t - 8 - 0 for t. -2 Let y(i) = 2*i**3 - 4*i**2 + 2*i + 1. Let a be y(2). Solve -a*n + 5 + 0 = 0 for n. 1 Let o(w) = w**3 + 17*w**2 + 30*w + 2. Let t be o(-15). Solve 0 = t*s - 10 + 2 for s. 4 Suppose -z + 1 + 2 = 0. Let q = 10 + -7. Suppose b - 5*b + 20 = 0, 8 = q*l - 2*b. Solve -z*r = -l*r - 9 for r. -3 Suppose 2*v + 3 - 12 = -z, 0 = 2*v + 5*z - 29. Suppose 0 = -5*k + 2*a + 3, v*a - 4 = -2. Suppose 8 = c - k. Solve -5*l + c = -11 for
{ "pile_set_name": "DM Mathematics" }
What is the second derivative of 29455683*n**5 - 44150267*n wrt n? 589113660*n**3 Differentiate 2180900*b*k*r - b*k - 2*b*r + 36992*b - 5*k*r + 11*k - 1 wrt r. 2180900*b*k - 2*b - 5*k Find the third derivative of 138694130*h**6 - 2*h**2 - 88634*h + 511 wrt h. 16643295600*h**3 What is the third derivative of 8974347*o**3*v + 553*o**2 + o*v + 2092*v wrt o? 53846082*v Differentiate 6*q**4*x + 17697218*q**3*x + 26204205*x wrt q. 24*q**3*x + 53091654*q**2*x Find the third derivative of -7709746*b**6 - 485*b**2 + 79*b + 74. -925169520*b**3 What is the first derivative of 349*u**3 + 1952*u**2 - 24128067? 1047*u**2 + 3904*u What is the second derivative of -120*q**3*s**2 + 11957015*q**3*s - 2*q**2*s**2 + 17981*s**2 - 2*s wrt s? -240*q**3 - 4*q**2 + 35962 What is the first derivative of -150125102*d + 28713228? -150125102 What is the third derivative of 13459984*y**3 - y**2 - 7657282*y? 80759904 Find the first derivative of 2*t**3 - 304*t**2 + 55206*t - 87267425 wrt t. 6*t**2 - 608*t + 55206 Find the third derivative of 62*g*l**3 + 13*g*l**2 - 3205184*l**3 + 36162880*l**2 wrt l. 372*g - 19231104 What is the third derivative of -88207351*u**3 - 66387*u**2 - 7*u - 5 wrt u? -529244106 Find the first derivative of 63070571*x**4 - 558166324 wrt x. 252282284*x**3 Find the second derivative of -9476141*j**2 - 17181291*j wrt j. -18952282 What is the derivative of -109431445*d**2 - 89246604? -218862890*d What is the second derivative of -1288741*n**2 - 777188*n wrt n? -2577482 Differentiate -3832459*g**3 + 3*g**2 - 6*g - 104510351. -11497377*g**2 + 6*g - 6 Differentiate 14*d**3*r + 9554705*d**3 - 46638*d**2*r + 5*d*r wrt r. 14*d**3 - 46638*d**2 + 5*d Differentiate -2780338*a*z - 3812922*a - 4 with respect to z. -2780338*a Differentiate -45*a*q**3*s + 3*a*q**3 - 2*a*q*s + 2183*a*q + 2*q**3 + 2*q**2 + 25*q + 2631209*s**2 + 29 with respect to s. -45*a*q**3 - 2*a*q + 5262418*s Find the second derivative of -18137915*g**4 + 282220*g - 6 wrt g. -217654980*g**2 What is the third derivative of w**5 - 112685*w**4 + 14*w**3 - 202*w**2 + 43305*w - 1 wrt w? 60*w**2 - 2704440*w + 84 Find the second derivative of 11*w**4 + 8292020*w**2 + 11*w + 4479338 wrt w. 132*w**2 + 16584040 What is the first derivative of -56544681*n + 13738452? -56544681 Find the third derivative of -178160477*s**5 - 5234*s**2 + 246*s - 14. -10689628620*s**2 Find the first derivative of -40024*o**4 + o**3 + 297*o**2 + 68937850. -160096*o**3 + 3*o**2 + 594*o Differentiate 90*c**2*m - 861133686*c**2 + 32*c*m - 6684*m wrt m. 90*c**2 + 32*c - 6684 Differentiate 445657478*g*u + 62591*u - 191 wrt g. 445657478*u What is the third derivative of -10*h**5 - 273819*h**4 + 18805904*h**2 wrt h? -600*h**2 - 6571656*h What is the second derivative of -117904838*h**3 - h - 88828283 wrt h? -707429028*h Differentiate 87703605*d**2 - 108517384 with respect to d. 175407210*d Find the third derivative of 17694269*c**2*g**3 - 940914*c**2*g + 13*g**2 wrt g. 106165614*c**2 What is the third derivative of 350959343*n**3 - 59*n**2 - 18*n - 8885 wrt n? 2105756058 Find the second derivative of 82888*q**3 - 26*q**2 - 4569799*q. 497328*q - 52 What is the third derivative of -57*b**3*g*o**2 - 165489*b**3*o**3 - 2*b**2*o**2 - 2*b*g*o**3 - 2490912*b*g*o wrt b? -342*g*o**2 - 992934*o**3 What is the third derivative of 2291830*u**3 - 283980*u**2 + 11*u wrt u? 13750980 What is the derivative of 614035*z**4 - 55*z**3 + 405685899? 2456140*z**3 - 165*z**2 What is the second derivative of -5447976*t**3 - 147181878*t wrt t? -32687856*t Find the first derivative of -9*f**2 - 41017994*f + 964997814 wrt f. -18*f - 41017994 Find the third derivative of 2*x**5 - 227*x**4 + 4515*x**3 + 19*x**2 - 35201 wrt x. 120*x**2 - 5448*x + 27090 What is the third derivative of 7*j*t**5 + 3*j*t**3 - 100708*j*t**2 + 9*j*t + j + 526578*t**3 - 9*t**2 wrt t? 420*j*t**2 + 18*j + 3159468 What is the third derivative of -497089*c**5*h - 183*c**3*h**3 - 2*c**2*h**3 + 86371712*c**2*h + 2*c**2 + h**3 wrt c? -29825340*c**2*h - 1098*h**3 Find the first derivative of 70495772*y - 59941043 wrt y. 70495772 What is the third derivative of -325990382*r**5*x**3 + 58*r**2*x**2 - 601*r*x**3 - 1807*x**2 wrt r? -19559422920*r**2*x**3 Find the first derivative of 328360621*q**2 - 300196156 wrt q. 656721242*q Find the third derivative of 2*r**4 + 25013107*r**3 + 678358735*r**2 wrt r. 48*r + 150078642 Differentiate -55*z**4 + 109398*z**2 + 28745031 with respect to z. -220*z**3 + 218796*z What is the second derivative of -102*b**3 - 159495*b**2 - 74193698*b? -612*b - 318990 What is the second derivative of 6426083*d**2 - 202*d + 19498 wrt d? 12852166 What is the derivative of -110231840*v*x*y + 2*v*x + v - 19*x - 116453 wrt y? -110231840*v*x Find the third derivative of -48536363*k**3 + 50*k**2 + 332*k - 658. -291218178 What is the third derivative of -4*l*v**3 + 869*l*v**2 + 98*l*v - 8*l - 310522*v**3 - v + 1 wrt v? -24*l - 1863132 What is the first derivative of -5*b*h**3 - 47065674*b - 744*h**3 + 604*h - 2 wrt h? -15*b*h**2 - 2232*h**2 + 604 Find the first derivative of -9349380*j*n*v**2 - 539*j*v**2 - j*v + 2*j - 129*v**2 - v + 1 wrt n. -9349380*j*v**2 Find the second derivative of -10*b*p**3 - b*p**2 + 85*b*p - 45*b - p**3 - 450562*p**2 - 1492*p wrt p. -60*b*p - 2*b - 6*p - 901124 Find the first derivative of 397438*d**4 + 143*d**2 - 68646695 wrt d. 1589752*d**3 + 286*d What is the derivative of -3*c**2*x + 11402*c**2 + 17*c - 626*x - 19740 wrt c? -6*c*x + 22804*c + 17 What is the second derivative of -52499950*j**2 + 1186*j - 2561? -104999900 Find the second derivative of -99808186*t**2 + 2*t - 26894186. -199616372 Find the second derivative of 2*d**5*v + 7210183*d**5 - 81765*d*v - 208*d wrt d. 40*d**3*v + 144203660*d**3 What is the third derivative of -35644990*i**5 - 33*i**2 - 228407*i wrt i? -2138699400*i**2 What is the second derivative of 72*c**2*h**3 + 4134*c**2*h**2 + 4*c**2 - 158070*c*h**3 - 2*c*h - 2*h**3 wrt c? 144*h**3 + 8268*h**2 + 8 Differentiate 4*d*s**3*z - 12*d*s**3 + 19128131*d*s**2*z + 3*d*s**2 + 3*d*s + 16*d + 368*s**3 - 2 with respect to z. 4*d*s**3 + 19128131*d*s**2 What is the first derivative of -7877182*j - 12932156 wrt j? -7877182 Find the second derivative of -6588*q**2*y**2 - 8*q**2 - 5*q*y**2 + 134*q + 74*y**2 - 2*y - 13321 wrt y. -13176*q**2 - 10*q + 148 Differentiate 251983365*l - 999797334 with respect to l. 251983365 Differentiate 15842750*h*x**2 - 2*x**2 - 2*x - 152758 with respect to h. 15842750*x**2 Differentiate 6763366*p - 10212483. 6763366 What is the first derivative of 55287*z**3 - 8451*z**2 - 1487849391? 165861*z**2 - 16902*z Find the second derivative of 171326396*g**3 + 109725992*g. 1027958376*g What is the third derivative of 171*n**3*s**2 - 135592*n**3 - 3*n**2*s**2 - 522*n**2*s + n*s**2 + 9*n + s**2 wrt n? 1026*s**2 - 813552 Find the second derivative of 62743534*j**4 - 9*j - 4237849 wrt j. 752922408*j**2 Find the third derivative of 3078879*u**3 + 9629*u**2 + 223*u. 18473274 What is the third derivative of 3*i*k**4 - 436*i*k**3 + 2*i*k**2 + i*k + 2*i - 20*k**4 - 39*k**3 + 2437*k**2 + 2*k + 16 wrt k? 72*i*k - 2616*i - 480*k - 234 Find the second derivative of -4908304*c**2*u + 31194*c*u + 2*u - 3 wrt c. -9816608*u What is the second derivative of -168562363*y**3 - y**2 + 85138345*y? -1011374178*y - 2 Differentiate 116315*f*z**2 + 132*f - 82332*z**2 - 156 with respect to f. 116315*z**2 + 132 What is the first derivative of 39315374*t**2 - 12256559 wrt t? 78630748*t Find the second derivative of -25*b**3*y**2 - 90*b**2*y**2 - 10*b**2 - 885*b*y**2 - 20*b*y + b - 2*y**2 - 1 wrt b. -150*b*y**2 - 180*y**2 - 20 Find the first derivative of 120*i*v - 35988108*i - 66456*v wrt v. 120*i - 66456 What is the second derivative of -2*d**3 + 53989800*d**2 + 3*d - 24412875? -12*d + 107979600 Find the first derivative of -612*q**2*u**3 - 26*q**2 + 176098*q - 20970*u**4 + 2 wrt u. -1836*q**2*u**2 - 83880*u**3 What is the derivative of 15611183*l*p - 9071473*p wrt l? 15611183*p What is the second derivative of -500190*x**5 - 3*x**4 - 26*x**2 - 3*x + 25965701? -10003800*x**3 - 36*x**2 - 52 Find the third derivative of 11*g**5 - g**4 - 1156991*g**3 - 1506911*g**2 + 16. 660*g**2 - 24*g - 6941946 What is the derivative of 47844473*a + 19093421? 47844473
{ "pile_set_name": "DM Mathematics" }
s(c) + y(c). Let a be f(0). Suppose a - 27 = z. What is z rounded to the nearest 100? 800 Suppose 0 = -4*n - 3 + 19. Let k be ((-320)/(-3))/(n/169500). Suppose 3*u = -u - k. Round u to the nearest 100000. -1100000 Let o(i) = -i**3 - 7*i**2 + 7*i - 4. Suppose 3*v = v - 16. Let t be o(v). Suppose t*b + 61616 = -658384. Round b to the nearest 100000. -200000 Let t = 0.038 + 0.01. Let p = -0.0465 + t. What is p rounded to 3 decimal places? 0.002 Suppose 2*u = -26 + 4. Let m(w) = w + 6. Let q be m(u). Let o be (q/1 - -4)*-103. What is o rounded to the nearest 10? 100 Let q(o) = -595*o + 373. Let p be q(7). What is p rounded to the nearest one hundred? -3800 Let i = -8999.0662 - -4.6662. Let p = 8946.3845 + i. Let w = p - -48. Round w to 3 dps. -0.016 Let c = -50 + 48.96. Let z = 0.13 - c. What is z rounded to one decimal place? 1.2 Let c be 757112682/54 - 4/18. Suppose t + c + 2543846 = -5*g, -3*g = 5*t + 9938653. Let h = g + 1652891. Round h to the nearest 100000. -1700000 Let g(v) = 9349*v**2 - v + 2. Let i be (4*1)/((-34)/17). Let l be g(i). Round l to the nearest ten thousand. 40000 Let g = 10.3 - 11. Let i = 3.2 + g. Let u = -2.5000054 + i. Round u to six decimal places. -0.000005 Let d(s) = -7286*s + 9. Let w(u) = 2 + 0 + 1 - 4. Let j(l) = -4*d(l) - 44*w(l). Let r be j(-7). What is r rounded to the nearest 10000? -200000 Suppose 7*j = -5*r + 3*j + 26, -3*r - 2*j = -14. Let y(t) = 39544*t + 10479*t - r + 975*t. Let q be y(-1). What is q rounded to the nearest ten thousand? -50000 Let c = 18.38088 - 318.27718. Let m = c - -491.89549. Let u = -192 + m. Round u to 4 decimal places. -0.0008 Let w = -55.8 + 3.8. Let l = 52.00033 + w. Round l to 4 decimal places. 0.0003 Let t = -151.5 - -144.71. Let v = -43 + 50.1. Let s = v + t. What is s rounded to one decimal place? 0.3 Let w be ((-2)/(-12))/(10/1060)*-27. Round w to the nearest 10. -480 Let b = -66 - -65.736. Round b to two decimal places. -0.26 Let l = -906.1 + 852. Let z = l - -273.1. Let n = 218.9999803 - z. What is n rounded to 6 dps? -0.00002 Let a = 66.069 + -66. Let p = a + -122.069. Let d = 122.00093 + p. What is d rounded to 4 decimal places? 0.0009 Let h = -5733.05217 - -5733. Round h to 3 dps. -0.052 Suppose -c - 9 = -4*c. Suppose c*k - 7 - 5 = 0. Suppose -p + 3*y + 833257 = 213260, k = 4*y. Round p to the nearest 100000. 600000 Let x = 0.00411828 + -1.40413408. Let r = 1.4 + x. What is r rounded to six decimal places? -0.000016 Let f = 396 - 753. Let s = f + 243. Let v = 114.000321 + s. What is v rounded to 5 dps? 0.00032 Let o = 3.036697 + -3.038. Round o to 5 decimal places. -0.0013 Let i = 396.83021 - 3.56921. Let z = -393 + i. What is z rounded to 2 dps? 0.26 Let i(v) = v**2 + 6. Let x be i(0). Suppose 3*s - 2610 = x*s. What is s rounded to the nearest one hundred? -900 Let c = 91.00233 - 91. What is c rounded to three decimal places? 0.002 Let z be (-3)/((-26)/56 - (-12)/(-42)). Suppose z*g = -24003 - 2877. What is g rounded to the nearest 1000? -7000 Let u = -26.801146 - -26.8. Round u to 5 decimal places. -0.00115 Let m = -453052.47251 + 452566.47. Let j = -486 - m. Round j to 4 dps. 0.0025 Let x(n) = 445*n - 5. Let b(m) = 9*m - 3. Let t be b(-3). Let q be (-10)/t + 26/3. Let i be x(q). Round i to the nearest 1000. 4000 Let p = -12.394 - 0.306. Let y = p - -11. Let f = -1.69973 - y. What is f rounded to 4 decimal places? 0.0003 Let z = 1308734924 - 1308734902.00000012. Let q = -21.974 + -0.026. Let j = q + z. Round j to seven decimal places. -0.0000001 Let v be (-2)/14 + 1867320060/420. Round v to the nearest 100000. 4400000 Let p(g) = -73*g**3 + g**2 + 6*g - 1. Let q be p(-3). Suppose 6*t - 3*t = -w - 2950, q = -2*t + 5*w. What is t rounded to the nearest one hundred? -1000 Suppose 9*l - l = -1040000. What is l rounded to the nearest one hundred thousand? -100000 Let b = 279.070012 - 278.96. Let f = 9 + -8.89. Let d = f - b. Round d to five decimal places. -0.00001 Let j = 267817.9510124 - 267818. Let k = -5.051 - -5.1. Let r = j + k. Round r to 6 dps. 0.000012 Let p = -6359.519 + 6356. What is p rounded to one dp? -3.5 Let w = -0.05162 - 0.05306. Round w to 3 dps. -0.105 Let f = 495.9999446 - 496. What is f rounded to 5 dps? -0.00006 Let y = -6138.87698051 - -6134.77698. Let l = -58.1 + 54. Let x = l - y. Round x to 7 decimal places. 0.0000005 Let h = -3746 - -3663.02. Let a = 0.02 - h. Let n = -82.99933 + a. What is n rounded to four dps? 0.0007 Let f = 0.583 + 0.057. Let h = -0.64006 + f. Round h to four dps. -0.0001 Suppose u - 489820 = -5*p - 110620, 0 = -4*p. Suppose 0*b - 4*b + u = 0. Suppose 0 = 2*z + 4*z - b. Round z to the nearest 1000. 16000 Let y be 250/(15939/(-3188) - 25/(-5)). What is y rounded to the nearest 100000? 800000 Let z = 29 - 40. Let t = 0.009633 - -10.990867. Let c = t + z. Round c to 4 decimal places. 0.0005 Let o = -1.372099 + 1.373. What is o rounded to four decimal places? 0.0009 Let o = -29.635858 - 0.358242. Let l = -30 - o. What is l rounded to three dps? -0.006 Let b(r) = -7*r + 1 - 3 - 8*r. Let m be b(4). Round m to the nearest ten. -60 Let j = -33.875 - -3.735. Round j to 0 decimal places. -30 Let k = -2.6377 + -0.3043. Let q = 0.52 + -3.42. Let m = q - k. What is m rounded to 2 dps? 0.04 Let h = -1219 + 1219.00082. What is h rounded to three decimal places? 0.001 Let d = 275.159 + -275. Let v = -0.1590632 + d. Round v to 5 dps. -0.00006 Let y = -31.4163 + 31.15. Round y to 2 decimal places. -0.27 Let n = 23.769 - 3.399. Round n to one dp. 20.4 Suppose y + 228 - 35 = 0. Let f be -2*y*(-3)/6. What is f rounded to the nearest 10? -190 Let d = -50.40512 + 0.04012. Let g = -0.565 - d. Round g to the nearest ten. 50 Let j(l) = l - 3 + 2*l - 1. Let u be j(2). Suppose 7 = 3*t + 1, u*m + 3500010 = 5*t. What is m rounded to the nearest 100000? -1800000 Let v = -89170832 - -89170776.99999968. Let g = v + 55. Round g to seven dps. -0.0000003 Let s = -7.25 + -1.15. Let f = -36.1 + s. What is f rounded to the nearest ten? -40 Let a = 0.042 - -38.958. Let r = a - 38.825. What is r rounded to two dps? 0.18 Suppose -4*w + 3710 = 3*w. Suppose -3*m + 13 = -11. Suppose -q - 1610 - m = -3*i, i - 5*q = w. Round i to the nearest one hundred. 500 Let u(s) = -s**2 - 6*s - 8 - 5*s - 4 + 2. Let z be u(-10). Suppose z = 8*l - 4*l + 136. Round l to the nearest ten. -30 Let m(u) = 2*u + 65. Let j be m(0). Let g be (-2)/10 + (-34363342)/j. Let l = g + 158667. Round l to the nearest one hundred thousand. -400000 Suppose -383*c = -382*c + 2. Suppose 57059481 - 21459487 = -2*u. Let x be (c - 2) + u + 1. What is x rounded to the nearest 1000000? -18000000 Let z = -495 + 495.2204. Round z to two decimal places. 0.22 Let z = -338198 - -1322566. Let w = 984352.000072 - z. Let c = -16 - w. What is c rounded to five dps? -0.00007 Let w = -9.159968 + 9.22. Let k = -0.26 - -0.32. Let a = w - k. Round a to five dps. 0.00003 Let n be ((-8)/(-16))/((-1)/12). Let y be ((-8)/n)/((-5)/(-85050)*4). What is y rounded to the nearest 1000? 6000 Let o = -0.51 + -9.69. Let i = -10 - o. Let v = -0.236 + i. Round v to two dps. -0.04 Suppose -5292 = -4*s + 123180. Suppose 5*n - 65475 = -5*d, -n + s = 4*d - 20277. What is d rounded to the nearest 1000? 13000 Let s(v) = -v**3 - 15*v**2 + v + 8. Let q(g) = g**3 - 6*g - 6. Let b be 1 - (-2 + 2) - 4. Let d be q(b). Let p be s(d). What is p rounded to the nearest 10? -10 Let n = -3237872549.00000078 - -3237872458. Let d = n - -91. Round d to seven dps. -0.0000008 Let i = 23.891 + 0.109. Let m = 23.9999318 - i. What is m rounded to five decimal places? -0.00007 Let s = -83.33 - -83. Let l = s - -0.3309. What is l rounded to 3 dps? 0.001 Let u = 1567904843847612173 + -1567904858359303943.00000122. Let k = u - -14511691651. Let g = 119 + k. What is g rounded to 7 dps? -0.0000012 Let a = -23726 + 16064. What is a rounded to the nearest one thousand? -8000 Let p = -8.9 - -9.088. Let u = 0.2226 - p. Round u to 3 dps. 0.035 Let h = 14.549998325 + -14.55. Round h to 7 dps. -0.0000017 Let y = 0.8 + 1.8. Let g = y - 2.600193. Round g to five dps. -0.00019 Let j(v) = -v**3 - 9*v**2 - 8*v + 3. Let o be j(-8). Suppose 4*m = 12, b + 4*b = -o*m + 29. Let c be (-20 - 0)*114/b. Round c to the nearest one hundred. -600 Let a = -38 - -41. Suppose 0 = -a*j + 211142
{ "pile_set_name": "DM Mathematics" }
91 Convert 51.66531 decades to months. 6199.8372 How many grams are there in twenty-nine halves of a kilogram? 14500 What is fourty-four fifths of a centimeter in millimeters? 88 Convert 92.2118ml to litres. 0.0922118 What is 5884.275 years in months? 70611.3 What is 2/15 of a week in seconds? 80640 How many nanograms are there in 1/5 of a microgram? 200 What is 0.0450318 grams in kilograms? 0.0000450318 What is 9115.078um in centimeters? 0.9115078 What is seventy-four fifths of a litre in millilitres? 14800 How many millilitres are there in 25/4 of a litre? 6250 How many milligrams are there in 3/40 of a gram? 75 How many kilograms are there in five quarters of a tonne? 1250 What is 2.332982g in nanograms? 2332982000 How many micrograms are there in 8/25 of a milligram? 320 How many millilitres are there in 21.1132 litres? 21113.2 How many nanometers are there in 7/2 of a micrometer? 3500 How many millilitres are there in 11/8 of a litre? 1375 How many milligrams are there in 1/5 of a gram? 200 How many months are there in 11/4 of a century? 3300 What is 2145.594 litres in millilitres? 2145594 What is 0.806239 micrometers in kilometers? 0.000000000806239 What is 6.625658 decades in months? 795.07896 What is 5/24 of a day in hours? 5 How many centuries are there in 2757.2973 months? 2.29774775 What is seventy-five halves of a microgram in nanograms? 37500 How many millilitres are there in 6/5 of a litre? 1200 How many minutes are there in 24380.877us? 0.00040634795 What is eleven eighths of a minute in milliseconds? 82500 How many days are there in 1599342.3 microseconds? 0.00001851090625 How many micrometers are there in 21/2 of a millimeter? 10500 What is 727473.5um in nanometers? 727473500 What is one fifth of a century in decades? 2 How many millilitres are there in fourty-nine quarters of a litre? 12250 How many months are there in seven thirds of a decade? 280 How many seconds are there in 1/30 of a hour? 120 How many millilitres are there in 6/25 of a litre? 240 How many grams are there in 21/8 of a kilogram? 2625 How many microseconds are there in 5199.958 hours? 18719848800000 What is 3/10 of a kilogram in grams? 300 How many days are there in eight sevenths of a week? 8 What is 990.9541 kilometers in centimeters? 99095410 How many nanoseconds are there in 0.6401069 seconds? 640106900 What is seven quarters of a litre in millilitres? 1750 What is 3/32 of a kilogram in milligrams? 93750 How many nanometers are there in 0.6814801 meters? 681480100 Convert 6.944539 years to centuries. 0.06944539 How many millilitres are there in eighteen fifths of a litre? 3600 Convert 0.3618903ms to microseconds. 361.8903 What is 6/5 of a millennium in decades? 120 What is 37/2 of a litre in millilitres? 18500 What is 1/10 of a milligram in nanograms? 100000 Convert 6.956573um to kilometers. 0.000000006956573 How many kilograms are there in 17/2 of a tonne? 8500 What is 0.8291501 years in decades? 0.08291501 How many millilitres are there in 3355.69l? 3355690 What is nineteen quarters of a litre in millilitres? 4750 What is thirty-two fifths of a minute in seconds? 384 What is 12546.81 tonnes in nanograms? 12546810000000000000 Convert 574.854 tonnes to micrograms. 574854000000000 How many micrograms are there in 15339.66ng? 15.33966 Convert 70.18233 centuries to months. 84218.796 What is 1/10 of a kilogram in grams? 100 Convert 13093.76 decades to millennia. 130.9376 How many micrograms are there in 61871.1 tonnes? 61871100000000000 What is 6/5 of a microgram in nanograms? 1200 How many millennia are there in 0.171412 years? 0.000171412 What is twenty-five eighths of a gram in milligrams? 3125 What is 21/2 of a year in months? 126 How many litres are there in 0.9034419ml? 0.0009034419 Convert 208587.2 decades to millennia. 2085.872 What is 8618.28cm in meters? 86.1828 How many litres are there in 659325.8 millilitres? 659.3258 How many micrograms are there in 32/5 of a milligram? 6400 How many micrometers are there in 3/50 of a centimeter? 600 How many months are there in one quarter of a decade? 30 How many decades are there in 5105.855 centuries? 51058.55 What is 0.4474762l in millilitres? 447.4762 What is 23.798016 seconds in days? 0.00027544 How many seconds are there in 74.89201 weeks? 45294687.648 What is fifteen quarters of a year in months? 45 What is 64.74121um in millimeters? 0.06474121 Convert 94.34149 millimeters to micrometers. 94341.49 How many kilograms are there in 13/5 of a tonne? 2600 How many micrometers are there in 40917.61nm? 40.91761 How many millilitres are there in twenty-seven halves of a litre? 13500 What is seventy-five quarters of a meter in centimeters? 1875 Convert 0.6331133um to meters. 0.0000006331133 How many years are there in one tenth of a millennium? 100 Convert 83543.37l to millilitres. 83543370 What is 27/4 of a millennium in years? 6750 What is thirteen fifths of a milligram in micrograms? 2600 How many litres are there in 9397.458ml? 9.397458 How many millimeters are there in eighty-seven quarters of a meter? 21750 Convert 1.99711 centimeters to millimeters. 19.9711 How many centuries are there in 87112.35 millennia? 871123.5 What is 17/2 of a tonne in kilograms? 8500 What is 5/6 of a day in hours? 20 What is seventy-two fifths of a minute in seconds? 864 How many grams are there in twenty-one halves of a kilogram? 10500 What is 5547.974 decades in years? 55479.74 What is 471137.9 hours in milliseconds? 1696096440000 Convert 497406.3ns to seconds. 0.0004974063 What is 520841.2 decades in millennia? 5208.412 How many micrometers are there in 1/16 of a centimeter? 625 How many millilitres are there in 586725.7l? 586725700 What is 60262.685 days in weeks? 8608.955 What is one sixteenth of a tonne in grams? 62500 Convert 160.3092 milliseconds to minutes. 0.00267182 What is 1/10 of a kilometer in millimeters? 100000 Convert 781.348 litres to millilitres. 781348 Convert 13.13426g to tonnes. 0.00001313426 What is 2/15 of a century in months? 160 Convert 778793.5km to micrometers. 778793500000000 How many micrograms are there in 1/4 of a milligram? 250 What is one fifth of a meter in millimeters? 200 What is 1/4 of a litre in millilitres? 250 How many years are there in 335256.1 centuries? 33525610 Convert 0.7012454l to millilitres. 701.2454 How many micrometers are there in 3/32 of a meter? 93750 What is 9/10 of a litre in millilitres? 900 How many grams are there in 11/2 of a kilogram? 5500 What is 64/5 of a litre in millilitres? 12800 How many nanograms are there in 0.2468305 micrograms? 246.8305 What is 11/2 of a millennium in centuries? 55 How many years are there in 259.86345 months? 21.6552875 What is 534414.7 millennia in centuries? 5344147 What is 85.70838um in millimeters? 0.08570838 Convert 0.2892203 decades to centuries. 0.02892203 What is fourty-five quarters of a litre in millilitres? 11250 How many nanometers are there in 353033.5 micrometers? 353033500 What is twenty-nine halves of a litre in millilitres? 14500 How many millilitres are there in five quarters of a litre? 1250 What is 606.1534mg in tonnes? 0.0000006061534 Convert 4034.151 litres to millilitres. 4034151 How many nanometers are there in 7/25 of a micrometer? 280 How many minutes are there in 7/8 of a day? 1260 How many milliseconds are there in 3/32 of a minute? 5625 How many months are there in 3/50 of a century? 72 What is 1/6 of a day in seconds? 14400 What is three fifths of a kilometer in meters? 600 How many millilitres are there in 37/2 of a litre? 18500 How many kilometers are there in 19053.97um? 0.00001905397 What is 0.5475414 millimeters in nanometers? 547541.4 What is 57.61833m in nanometers? 57618330000 How many micrograms are there in 60.04594 kilograms? 60045940000 How many minutes are there in 1/10 of a day? 144 How many meters are there in 3/5 of a kilometer? 600 What is twenty-nine halves of a kilogram in grams? 14500 Convert 17.34873 litres to millilitres. 17348.73 How many months are there in one fifth of a millennium? 2400 Convert 762024.7 millennia to centuries. 7620247 Convert 9.45405 meters to micrometers. 9454050 What is 1/5 of a litre in millilitres? 200 What is 9197.011 meters in kilometers? 9.197011 What is 0
{ "pile_set_name": "DM Mathematics" }
Suppose -5*g = 356 - 141. Let h = g + 48. Suppose 0 = -h*v + 13*v - 200. Solve 2*c = -3*c - v for c. -5 Suppose 189222*u = 189230*u - 1720. Solve -u*t + 222*t = 21 for t. 3 Let t(p) = -p**3 + p**2 + 4*p. Let k be t(3). Let u(v) = v - 20. Let y(g) = -19. Let f(d) = 2*u(d) - 3*y(d). Let m be f(k). Solve m - 1 = 2*n for n. 2 Suppose -4*r - 54 = u, 0*r - 273 = 4*u - 3*r. Let h be (u/(-88))/((-2)/(-16)). Suppose -h*m + 42 = -m - 3*o, 0 = 2*o + 8. Solve -f = f - m for f. 3 Suppose -3*l = 5*q, 0 = -4*q - 9*l + 11*l + 22. Let n be 0/q + (9 - 3). Solve 2*m = -n + 4 for m. -1 Let g be 29/145 + 109/5. Suppose -4*n = -5*m + 34, 4*m + g*n - 25*n - 27 = 0. Solve 0 = m*x + 3*x + 36 for x. -4 Let y = -1353 + 1402. Solve -7 = -y*l + 42*l for l. 1 Let j(v) = 6*v + 5. Let b be j(0). Suppose -2 = -o + s, -b*o = -3*o - 5*s + 2. Solve -i + o*i - 6 = 0 for i. 2 Suppose 0 = 3*k + 2*k - c - 10, 4*k + 4*c = 8. Let y(o) = o - 2*o**2 + 29 - 15 + o**2 + 0*o**k. Let m be y(4). Solve m*s + 0*s = 0 for s. 0 Suppose -4*b + 1080 = 16*b. Solve -17*f + 82 = -b for f. 8 Suppose -5*a + 5*q = -345, 60*a - 56*a - 2*q - 286 = 0. Solve 29*u - a = -8*u for u. 2 Suppose -6*r = -4*r - 20. Let p = 157 + -154. Solve -p*u + r - 7 = 0 for u. 1 Let n be 10/6 - (-1)/3. Let k(m) = -m**2 + 19*m + 218. Let c be -8 + (-4)/((-24)/210). Let z be k(c). Solve n*f + z*f = 0 for f. 0 Let v be -4*((-102)/4 + 14). Solve -v*l + 224 = -18*l for l. 8 Suppose -5*z = -c - 40, 0*z + 2*c + 17 = 3*z. Suppose -z + 89 = 16*m. Solve -2*n + m*n - 15 = 0 for n. 5 Suppose -36*s + 560 + 4202 = -926. Solve -30*i + s = 218 for i. -2 Suppose 8*c + 2775 = -1889. Let k = c - -589. Solve 0 = 10*d - 7*d + k for d. -2 Let u(v) = 185*v - 39. Let z be u(4). Suppose -17*m = -z - 421. Suppose -16*r + m = -5*r. Solve 2*i = r*i + 16 for i. -4 Let g be (-434768)/348*(-1 - 69/12). Solve 8393 = 5*d + g for d. -8 Let k(l) = -l**3 - 3*l**2. Let z be k(-3). Suppose z = -d - 24*d + 125. Solve -d*m + 17 + 8 = 0 for m. 5 Suppose d = 4*d + 15. Let n(p) = 36*p - 17 + 61*p - 101*p + 5. Let k be n(d). Solve 0 = a + a + k for a. -4 Suppose 170*a = 167*a + 33. Solve -14*k - a = 73 for k. -6 Let m(r) = r**3 - 5*r**2 + 4*r + 2. Let u = 22 + -18. Let a be m(u). Let b(v) = -v**3 + 2*v**2 - v + 2. Let i be b(a). Solve 5*w - w + 12 = i for w. -3 Suppose 195 = 60*d - 225. Solve -d*o + 18*o - 11 = 0 for o. 1 Let q = 587 - -2253. Solve -2829*m = -q*m - 77 for m. -7 Let d be (-3 + 60/6)/((-2)/34). Let g = d + 121. Solve 2*j + 4 = -g for j. -3 Let i(b) = b**3 - 36*b**2 + 38*b - 3. Let t be i(1). Solve 26*q - 18 + 70 = t for q. -2 Let l be 4*(8/(-68) - (-116661)/2516). Solve -10*o = 27*o - l for o. 5 Let t be -3*(19/3 + -5). Let b be ((-4)/(8/t))/(2/3). Suppose -6*c + b = -9. Solve 5 + 3 = -c*z for z. -4 Let l(c) = 5*c - 20. Let b be (-14)/(-21) + (-164)/3. Let f = b - -61. Let z be l(f). Solve 5*w = -0*w + z for w. 3 Let j(c) = -c**2 + 3*c + 28. Let t be j(7). Suppose 0 = 6*h - h - 50. Suppose y = -y + h. Solve t*i = i - y for i. 5 Let q be 2/(-3) - -15*42/945. Solve -8*u + 14*u + 12 = q for u. -2 Let t = -2758 + 2787. Solve 0 = 10*z - 39 + t for z. 1 Let q = 4662 + -4604. Solve q*d - 38*d = 0 for d. 0 Let m be -4*((-18)/32)/((-6)/(-8)). Suppose 3*x - 29 = -4*t, -x + t = -m + 5. Solve -x*k = 7 - 19 for k. 4 Let z(o) = -6 + 6*o - 2*o - 12 + 3*o**2 - 16*o - 9*o. Let i be z(8). Solve i*h = -3 - 3 for h. -1 Suppose 3*t + 3*h - 357 = 0, 5*h - 310 = -4*t + 164. Suppose 0 = 3*g + 115 - t. Solve -g*l + 0*l = -4 for l. 2 Let n be 7 + -2 - -3 - 2. Let b be ((-2)/n)/((-8)/(-6 + 318)). Solve -8*s - 5*s - b = 0 for s. -1 Let g be 1 + (2/(-9) - 0 - (-105)/(-135)). Let d = -3 - -6. Suppose 6 = -0*u + 5*u - 3*k, -3*u - 4*k + 21 = 0. Solve d*r = -g*r + u for r. 1 Suppose 33 = -14*l + 61. Suppose 8*n = l*n. Solve -7*b + 8*b - 5 = n for b. 5 Suppose 6*d = 11*d - 160. Suppose 4*q = 48 + d. Let z be q/6*3*(-3 + 4). Solve -3*l = -8*l - z for l. -2 Suppose -6*r = -10*r - 336. Let c = 89 + r. Solve 5*g + c - 15 = 0 for g. 2 Let l = 6 + -2. Let y = 858 + -843. Suppose y*z = 149 - 119. Solve -l*w - z + 10 = 0 for w. 2 Suppose 122*l - 101*l - 420 = 0. Solve -3*m + 115 = l*m for m. 5 Let c = 17492 + -17187. Solve -265 = -5*x - c for x. -8 Let k = -4670 + 4670. Solve 71*c - 56*c - 45 = k for c. 3 Let p(k) = -k**2 - 55*k - 150. Let b be p(-52). Solve 7*l - b*l = 0 for l. 0 Suppose -6*u = 5*l - 8*u - 328, -3*l + u + 198 = 0. Solve 0 = -2*c + 70 - l for c. 1 Let v = -14425 - -14443. Solve 60 - v = 14*r for r. 3 Let i = 1942 - 1946. Let y(q) = -8*q**2 + 6*q - 41. Let b(o) = 3*o**2 - 2*o + 14. Let f(g) = -11*b(g) - 4*y(g). Let z be f(i). Solve -z*x - 10 = -2 for x. -4 Let s(f) = 13*f - 156. Let i be ((-273)/(-14) - 6) + 6/(-4). Let r be s(i). Solve r = -4*d + 2 + 6 for d. 2 Let f be (((-8)/(-14))/((-6)/133))/((-16)/24). Solve 32*t - 13 - f = 0 for t. 1 Suppose 0 = 3*v + 2*m - 80, v - 4*m + 112 = 5*v. Let s be 9/12 + (-18)/v. Suppose 5*w + 6 - 11 = s. Solve -4*u + 5*u = -w for u. -1 Let j be (-17)/((-153)/2592) - 15. Solve -12*v + 51*v - j = 0 for v. 7 Let u(l) = -23*l + 315. Let k be u(11). Solve q - k = -60 for q. 2 Let f be 13 + 5 + -1*4. Let t = -10 + f. Suppose t = 2*g - 6. Solve -4*y - 3 = g for y. -2 Let z(k) = -3*k + 7. Let s be z(0). Suppose 0 = u + 2*p + 4, -2*u - 2*p + 5 = s. Solve -u*w = -0*w for w. 0 Let y(u) = 88*u**2 - 11*u. Let h be y(1). Let o = h + -76. Solve o = -4*r + 1 for r. 0 Suppose r - 14 = -5*y, -4*y - 83*r = -85*r. Solve y*m = -20*m - 132 for m. -6 Let j be 46 + -43 + (-156)/(-3). Solve 0 = -j*k + 38*k + 68 for k. 4 Let z = -633 + 690. Suppose z - 20 = 4*v - 3*p, p = -v + 11. Solve 13 = -v*u + 53 for u. 4 Let x(c) = 2*c**2 - 30*c - 23. Let u be x(16). Solve 0 = 6*j + u*j - 75 for j. 5 Let k be ((120/36)/(5/(-30)))/((-2)/44). Solve k*r = 429*r - 88 for r. -8 Let r(u) = u**3 - 6*u**2 - u - 5. Let d be r(7). Suppose 3*w = 5*z, -5*w = -3*z + 7*z - d. Solve w*t - 20 = t for t. 5 Suppose -7*v + 4*v = 0. Let d = 18 + v. Suppose 0 = -t - 5*t + d. Solve t - 4 = -p for p. 1 Let k(q) = -q**2 - 15*q - 14. Let i be k(-14). Suppose i = -8*h + 101 + 59. Solve 15*l - h*l - 20 = 0 for l. -4 Suppose -6*l - 142 = -52. Let o be (-2)/6 + (-3 - 95/l). Let b(k) = -k**3 + 2*k**2 + 2*k + 4. Let p be b(o). Solve -5 = -f - p for f. 4 Let z(l) = -l + 3*l - 6 - l. Let u be z(10). Let x be 6/7 - -5*(-6)/(-210). Solve -u*v + x = -3 for v. 1 Let h = -18 + 26. Let p = h - 4. Solve b = 8 - p for b. 4 Suppose -5*t = 0, b + 0*t = -3*t + 47. Suppose 0 = -4*s - 3*x + b, 2*s - 5*x + 4*x = 21. Solve -s = -j - 7 for j. 4 Let s = 210 + -389. Let r = 181 + s. Solve 6 = 4*o - r*o for o. 3 Suppose 22 - 17 = 5*i. Let k be 106/22 + 9/(-11) + i. Solve 4*r - k*r + 1 = 0 for r. 1 Let i = -6473 + 6515. Solve 0 = i*d - 49*d - 49 for d. -7 Let k = 47 + -41. Let g(s) = s**3 - 5*s**2 - 8*s + 15. Let b be g(k). Solve -b*w + 5 = -2*w for w. 5 Let u be 4/(((-2)/(-88))/(4/(-8))). Let o = -79 - u. Solve 5 = -8*q + o*q for q. 5 Let q be 0 + -1*4 + 1680/(-80). Let w = q - -25. Solve w*n = 2*n + 2 for n. -1 Suppose -2*t - 4*i = -112, -26*t - i = -28*t + 142. Solve 61*v = t*v - 14 for v. 2 Suppose q + 0*q - 15 = -2*v, -4*q + 3*v = -5. Let g(n) = -2*n + 7. Let l be g(q). Let j be 1*l*(-2)/3. Solve 20 = 2*b + j*b for b. 5 Suppose 4*n + 13 - 53 = -2*u, 2*u - 34 = -3*n. Let f(y) = 3*y + 3. Let v(i) = -5*i - 6. Let s(j) = -7*f(j) - 4*v(j). Let p be s(3). Solve p*c = 2*c + u for c. -4 Suppose -24*l + 32 = -l - 14. Let q = -1 - -3. Solve q*d = d + l for d. 2 Let j(i) = 2*i**2 + i. Suppose 12 = 5*p - p + 5*y, 2*y + 8 = 0. Let g(f) = f**3 - 7*f**2 - 7*f - 7. Let w be g(p). Let z be j(w). Solve z*n = 8*n + 10 for n. -2 Suppose 0 = -3*g + 4*h - 1024, g + 2*g + h = -1004. Let b = g - -338. Solve b*q + 8 - 6 = 0 for q. -1 Let l(s) = -s**3 - 7*s**2 + 7*s - 8. Let h be l(-8). Suppose 2*j - 6*j = h. Let u be (-3 - 3) + 414/46. Solve 2*a + 5 - u = j for a. -1 Suppose 13*v = 7*v - 450. Let p = v - -77. Let u = -35 + 45. Solve 0*f = -p*f - u for f. -5 Suppose 55 = q + o - 13, -20 = -5*o. Solve -7*c = -q + 43 for c. 3 Let f(v) = -v**3 - 10*v**2 + 146*v + 1335. Let j be f(-8). Solve -j*d = 44 + 112 for d. -4 Let p be (-7)/(28/132) - 3. Let d be (0 - 1)*p/(-12). Let g be 3/9*9 - d. Solve u + u = -g for u. -3 Let f be (2/(-3))/((-8)/(-36))*2. Let
{ "pile_set_name": "DM Mathematics" }
4*z + 9*h + 29, 4*h - 74 = -2*z - 168 for z. -5 Solve -3*f + 10 = -11*d, -5*f - 1812*d = -3*f - 1816*d for f. -4 Solve 4*t - 24998 = -3*m - 25036, 50 = 3*m - 7*t for m. -2 Solve -27*y + k = -23*y + 28, 0 = 4*k for y. -7 Solve -72*z + 68*z - 20 = 3*x, -8*x - 28 = -2*z for z. -2 Solve 3*w + 5*y = -7*w + 35, -2*y + 38 = -w - w for w. -4 Solve 98 = 62*o - m, 392 = -2*o - 2276*m + 2272*m for o. 0 Solve -10 - 24 = -2*g + 3*t, 22*g - 54 = -59*t + 60*t for g. 2 Solve -13 = -5*d - 113*y + 112*y + 24, -y - 14 = -34*d + 24 + 81 for d. 4 Solve 3*i + 23*p - 10*p = 6*p + 48, 3*p - 83 = -4*i for i. 23 Solve -4*w = -5*z - 4, -4 = 34902*z - 34898*z - 3*w for z. -4 Solve 4*c - 44 = 4*i, 2914 = 5*i - 7*c + 2969 for i. -11 Solve 3*b = -3*f + 3, -607*f + 604*f = 136*b - 136 for f. 0 Solve -3*p + 3*k + 12 + 10 = -2*p - 0 + 11, 5*k = 5*p - 45 for p. 8 Solve 16*z - 15 = -2*x + 15*z, 80*x + 297 = -z for x. -4 Solve 6*c = -108, -5*h + c + c + 10 + 4 + 42 = 0 for h. 4 Solve -5*c + 14*g + 17*g = 29*g - 95, 2*c - 98 = 2*g for c. -1 Solve -2*p - 35 = 30864*v - 30859*v, v + 6 - 1 = -0 for p. -5 Solve -3*g + 7*a + 145 = 11*a, -4*g + 1753*a = 1749*a + 152 for g. -1 Solve 4*n = 6*w + 28, -203*w = -205*w + 4*n - 36 for w. 2 Solve 0 = 4*i + 19*h - 95, 2910*i - 5*h = 2911*i - 23 for i. 38 Solve -44120*o - 3*j + 19 = -44124*o, o - 4*j + 8 = 0 for o. -4 Solve 0 = 7*k + 2*n + 2*n - 44, 20*k - 258 + 89 = 3*n for k. 8 Solve -108*s + 0*r + 2*r - 546 = -r + 2*r, -274*r = -2*s - 275*r - 4 for s. -5 Solve 56 = 2*c - 6*z, -5*z + 86153 - 86133 = c for c. 25 Solve -455*f + 2*s = -450*f + s, 7*s - 5*s + 35 = 45*f for f. 1 Solve -6*w + 1789 = 2*k + 1851, -4*k + 40 = -3*w + 14 for w. -10 Solve 0 = 2*b - 6*f - 112, -57*f = b - 61*f - 76 for b. -4 Solve 260823*w - 260828*w - 5*b = 45, -25 = -3*w + 10*b for w. -5 Solve 6*t = -3*c - 21, -28*c - 17*t - 14*t + 30*t = -31*c for c. -1 Solve 12*a - 7*a - 100*k + 157 = -92*k, 3*a + 97 = 2*k for a. -33 Solve -16*x = 41*x - 5*a - 451, -2*x = 3*a - 115 + 277 for x. 3 Solve 2*u + 4*d - 18 = 0, u + 6*u - 24*d + d = -12 + 1 for u. 5 Solve 2*y - 76 = -4*m, -2*m - 847 = 5*y - 1029 for y. 36 Solve 3*n - 4*m = -82, -3*n + 11*n + 3*m - 64 = 9*n for n. 2 Solve 2*l + 2*d = -22, 4*l + 5*d + 67 - 72 = -54 for l. -6 Solve -2*f - 3 = -t - 5*f, 8*f - 53758 = 4*t - 53750 for t. 0 Solve 129*q - 17*r = 125*q - 16*r + 11, -87 = 6*q + 3*r for q. -3 Solve -16*w - 14*w = -31*w + 4*n - 36, 3 = -n for w. -48 Solve 0 = j + 4*m + 52, 4*j + 253*m - 254*m = -4 for j. -4 Solve -63941 = 3*h - 63839, 2*h + 68 = -5*y for y. 0 Solve 1863 - 1559 = 4*g + 6*f, g + 5*f - 258 = 0 for g. -2 Solve -10*w = -3108*r + 3107*r - 10, 3*r = -3*w + 3 for w. 1 Solve 4*n + 5*q - 69 = -96 + 66, 5*n - 1109*q = 7*n - 7765 for n. 1 Solve 4*y = -48*b + 50*b - 58, 11*y - 3*b + 27 = -120 for y. -12 Solve 3*y + 324*x - 598*x = -278*x - 90, 0 = -x - 3 for y. -26 Solve 0 = -7*p - i - 95, -20169*p + 7*i = -20165*p + 77 for p. -14 Solve -8*m + 10*m + 4 = 2*g, -37 = 146*m + 17*g - 19*g + 111 for m. -1 Solve -l + 10*r + 618 - 441 = 2*l - 6*l, 8*l - 4*r = 80 for l. 1 Solve -19 = -3*w - d, 249*w = 116*w + 128*w - 2*d + 30 for w. 8 Solve -2*f - 35 = -g, -g - 45810194 = -4*f - 45810229 for g. 35 Solve 185 = -10*w + 14*c - 17*c, 3*w = 42*c - 46*c - 5 - 66 for w. -17 Solve d + 228 = 3*d + 6*t, -13*d - 7424 = -3*t - 7310 for d. 0 Solve 2*x = 44*v + 26, 147*v + 14 = -2*x + 151*v for x. -9 Solve 3*g = -7*m + 12 - 11, -3*m - 9 - 3 = 7*g - 1 for g. -2 Solve 3*o + 3*y - 24 = 0, -2063 = 132*o + 5*y - 2230 for o. 1 Solve 2*z - w + 17 = 0, -46193*z - 60 = -46189*z - 4*w for z. -2 Solve 2*k + 6 = -4*b, -62*k + 70*k + 31 = b + 2*k for b. 1 Solve 0 = b - 3*t + 22, 0 = -23*b + 15612*t - 15607*t - 570 for b. -25 Solve 4*p - 3*z - 94384 = -94300, 5*p + 5*z + 105 = 0 for p. 3 Solve -58*n + 55*n = -12*u - 132, 0 = -5*n + u + u + 4 for n. -4 Solve 2*h + 64 - 14 = 2*r, -14*h - 2*r = -7*h - 5 for h. -5 Solve -1499*p + 1498*p - 59 = 5*o, -p = -4*o - 40 for o. -11 Solve -2*c + 14 = -2541724*v + 2541722*v, -2*c = -5*v - 38 for c. -1 Solve 32 = -4*a + 6996784*x - 6996786*x, -5*a - 12 - 33 = 3*x for a. -3 Solve 4*v - v = 34*s + 117, -4*v - 94 - 75 = s - 186 for s. -3 Solve -4*z + 231*a - 4 = 232*a - 1, -a = -28*z + 27*z - 22 for z. -5 Solve 0 = 5*a - 4*b - 105, 160 = -10*a + 2*b + 370 for a. 21 Solve s - 46 = -2*k, -k = 3*s + 245 - 383 for s. 46 Solve -4*w = -3*r + 13 + 21, 10*w = w - 90 for r. -2 Solve 0 = 5*n + 5*d + 310, 253*n - 251*n = -5*d - 109 for n. -67 Solve 3*i - 535*k = -5897, -3*i + 5*k - 18 = 6*k - 2*k + 5 for i. -4 Solve -5*h + 3*h + 5 = -0*h - h - 2*n, -n + 17 = -7*h for h. -3 Solve 0 = 3*h - 6, -3*f + 5*h = 3*f - 19589 + 19635 for f. -6 Solve -k - 3 = -s, -24*k + 10*k = -15*k + 12178*s - 12173*s + 9 for k. -6 Solve -4*o - o = 250*s - 251*s - 1, -5*s - o - 5 = 0 for s. -1 Solve 4*c = -5*r + 107, 2424362*r - 2424363*r = -5*c + 112 for r. 3 Solve 2*s - 6*s + 44 = 5*l, 666*s - 665*s - 11 = -4*l for s. 11 Solve -53*c + 56*c - 5*n + 20 = 0, 12*c - 17*c = -2*n + 8 for c. 0 Solve -2*j - 3*m - 426 = 417 - 850, 0 = -6*j + 3*m + 9 for j. 2 Solve -5*l - 4*j + 89 = 0, 2439*j - 2436*j + 31 = 2*l for l. 17 Solve 536*q = 5*c + 539*q - 32, 14*q = -c + 10*q + 37 for c. 1 Solve -30*a + 5*k - 378 = 62, k + 55 + 41 + 11 = -7*a for a. -15 Solve 1844 = -d + 33*y, 9*y = -2*d + 5*y + 520 - 288 for d. 4 Solve 42*t + 5*p = 39*t + 45, 0 = -t + 5*p - 65 for t. -5 Solve b - 336 = -4*a - 305, -a = -5*b + 71 for a. 4 Solve 17*j = -5*v + 9, -v + 77*j - 72*j = 15 for v. -5 Solve 0 = 5*g - 4*d + 51, 27 = -18*g + 2*d + 17 for g. 1 Solve -2*h = -5*w - 1687 + 1662, -4*w - 14 = -h for h. 10 Solve -4822*h + 3*t = -4820*h - 97, 0 = -3*h + 4*t + 129 for h. -1 Solve -2*r = -4*l + 35 - 25, -1078*r + 1075*r - 14*l = 55 for r. -9 Solve -2*s + 5*s = -2*p - 13, 5*s - 2194 = p - 2181 for p. -8 Solve -t = -5*n + 19 + 29, 552*n - 100 = 3*t + 548*n for t. -28 Solve 4*g = 442*l - 441*l - 9 + 24, -5*l - g = 138 for l. -27 Solve 15*u + 269*c = 261*c + 188, -4*u = 2*c - 50 for u. 12 Solve 34288 - 34266 = m + m - 2*n, 0 = -3*m + 21*n + 141 for m. 5 Solve 6 - 86 = 2*k + 5*x, -4*k = -x + 532 - 526 for k. -5 Solve 2*d = 2*d + 5*d - 0 - 10, 5*i - 2*d - 83 = 98 for i. 37 Solve -2*t - 2*t - 195*x = -200*x + 15, 0 = t + 2*x - 6 for t. 0 Solve 0 = y + 5*w - 24, 832*y = 784*y - 3*w + 204 for y. 4 Solve 4 = 26029*o - 26025*o - 4*q, -o + 81*q = -241 for o. -2 Solve 0 = 3*a - 55*w + 785, -116 = -a - 5*w - 51 for a. -5 Solve -12*f - 2 = r - 8*f + 6, 0 = 5*f + 16*f + 21 for r. -4 Solve m = -3*i - 19, i + 260*m - 177 = 278*m for i. -3 Solve 4*v = m + 57, 4725 = 5*v + 3*m - 4767 + 14162 - 4720 for v. 13 Solve 3*r + 4*p - 62 = 0, 4*r - 49508*p + 49505*p = 66 for r. 18 Solve 0 = -4*r - 3*w - 5 + 60, -7*r - 5*w + 49 = -r - 2*r for r. 16 Solve 3*d + 183 = 118*r - 80, 5*d - 967*r = -961*r - 57 for d. -9 Solve 2*q + 78 = -173*w + 214*w, 2*w - 2 = q for q. 2 Solve -4*h = -12, 12*h - 78 = -5*l - 15 - 12 for l. 3 Solve 2*a + 22 = 5*t, 3*t - 11*a = -24*a + 15*a + 10 - 0 for t. 6 Solve q + 4*f + 61 = 6*f + 70, 53*q + 5*f - 255 = 0 for q. 5 Solve -425*q + 14 = -206*q - 210*q + 3*w - 10, 7*w = -4*q + 5 for q. 3 Solve 5*b = 4*z - 165, 2*z + 12 = -b + 114 - 135 for z. 0 Solve -f + 175 = -3*x + 223, 0 = 3*f - 3*x + 114 for f. -33 Solve 161*r + 60 = 166*r - 5*s, 0 = -7*r + 29*s + 370 for r. -1 Solve 3*y - 7 = -v, 1781*v - 1785*v + 98 = -2*y for y. -5 Solve 0 = 3*h - 4*v - 1, -4*h - 4*v = 800 - 764 for h. -5 Solve -2*g - 86 = o + 3*o + g, 8*o - 4*o + 3*g + 32*g = -22 for o. -23 Solve -2*j = 281*g + 885, -70 = 2*g - 64 for j. -21 Solve -1179*i + 1182*i + 3 = -3*p, 0 = -13*p - 2*i - 11 + 31 for p. 2 Solve 363*b = -4*a + 366*b - 12 + 42, 25*a + 5*b - 235 = 0 for a. 9 Solve -5*a + 85 = n, 36*a + 22*n = 41*a + 21*n + 35 for a. 5 Solve -x - 237965 = -4*p - 238156, p + 6*x = -29 for p. -47 Solve 4*k = -a + 34, -5589220*a + 5589222*a - k + 4 = 0 for a. 2 Solve -2*d = 5*f + 32, 635 = 19*f + 711 for d. -6 Solve 5*w + 1411331 = -2*m + 1411320, -5*m = -5*w - 25 for w. -3 Solve -k + 2*a - 50 = 0, -114 = -5*k + 133*a - 137*a for k. 2 Solve 2*m - 6*m + n = -117, -30 = m + 4*n - 38 for m. 28 Solve -3*g + s = -3, -30*g = -898*s + 897*s - 30 for g. 1 Solve 4*z + 588 = 2*t + 628, t = 541*z - 3*t + t - 60 for z. 0 Solve 0 = -6*m + 5*b + 9
{ "pile_set_name": "DM Mathematics" }
ext term in -1455, -2550, -3313, -3750, -3867, -3670, -3165? -2358 What comes next: 63, 21, -19, -57, -93, -127, -159? -189 What is next in -98, -108, -120, -134, -150, -168? -188 What is next in 96, 40, -8, -42, -56, -44? 0 What is next in -73050, -73055, -73060? -73065 What is the next term in -8, -74, -228, -506, -944, -1578, -2444? -3578 What comes next: -415, -1018, -2035, -3472, -5335, -7630, -10363? -13540 What is next in -92, 578, 1252, 1930, 2612? 3298 What comes next: 1619, 1614, 1601, 1580, 1551, 1514? 1469 What is next in 84934, 169863, 254792, 339721, 424650? 509579 What is the next term in 28772, 28760, 28742, 28718, 28688, 28652? 28610 What is the next term in 1287, 2579, 3875, 5175? 6479 What is the next term in -22718, -22726, -22734? -22742 What comes next: -211, -609, -1345, -2587, -4503, -7261, -11029? -15975 What is the next term in -876, -2304, -3712, -5094, -6444, -7756, -9024, -10242? -11404 What is next in 120, 225, 330, 435, 540, 645? 750 What comes next: -149, -1009, -2435, -4421, -6961, -10049? -13679 What is next in -30973, -61950, -92925, -123898, -154869? -185838 What comes next: 2941, 2368, 1797, 1228, 661, 96? -467 What is the next term in 1525315, 1525318, 1525323, 1525330? 1525339 What is next in 69350, 138705, 208060? 277415 What is next in 12469, 24894, 37319? 49744 What is the next term in -1039, -2261, -3481, -4699? -5915 What comes next: 1004, 4677, 11018, 20033, 31728? 46109 What comes next: 483, 2004, 4561, 8154, 12783, 18448, 25149? 32886 What is next in -752, -849, -936, -1007, -1056, -1077, -1064, -1011? -912 What is next in 3551, 7099, 10649, 14201, 17755? 21311 What is the next term in -225, -209, -183, -147, -101, -45? 21 What comes next: 160, 591, 1294, 2263, 3492? 4975 What is next in -32719, -32716, -32713, -32710, -32707? -32704 What comes next: -590577, -1181155, -1771733, -2362311? -2952889 What comes next: -54258, -108524, -162790, -217056, -271322, -325588? -379854 What is the next term in 178251, 356476, 534713, 712968, 891247, 1069556, 1247901? 1426288 What is next in 179448, 179445, 179442, 179439, 179436, 179433? 179430 What is the next term in -2021483, -2021500, -2021543, -2021624, -2021755, -2021948, -2022215, -2022568? -2023019 What comes next: 35843, 143271, 322317, 572981, 895263? 1289163 What is next in 8487, 8485, 8483, 8481, 8479, 8477? 8475 What comes next: 155214, 155209, 155204, 155199? 155194 What is the next term in -8275464, -8275463, -8275462, -8275461? -8275460 What comes next: 10954, 43816, 98592, 175282, 273886, 394404, 536836? 701182 What is the next term in 26, -23, -110, -235, -398, -599? -838 What is the next term in -15, -23, -31? -39 What is the next term in -19743, -19653, -19561, -19467, -19371, -19273? -19173 What comes next: 3013, 2987, 2951, 2905, 2849? 2783 What is next in 170, 258, 346, 434, 522? 610 What is the next term in -1437092, -1437093, -1437094? -1437095 What is next in -58618, -117247, -175874, -234499? -293122 What is the next term in -374, -520, -756, -1076, -1474? -1944 What is the next term in 1475, 1343, 1133, 851, 503, 95, -367? -877 What comes next: 3477, 3460, 3435, 3402, 3361? 3312 What comes next: -20510, -41215, -61934, -82673, -103438, -124235? -145070 What is the next term in -247, -271, -295, -319? -343 What is the next term in -644, -672, -738, -860, -1056, -1344? -1742 What comes next: -1609403, -1609401, -1609399? -1609397 What comes next: 520960, 1041918, 1562876? 2083834 What comes next: 2125, 2203, 2289, 2383? 2485 What comes next: -1267, -4890, -10913, -19324, -30111, -43262, -58765? -76608 What comes next: -2474, -4975, -7476, -9977, -12478? -14979 What comes next: 39178, 39213, 39272, 39361, 39486, 39653, 39868, 40137? 40466 What is next in -37, -146, -281, -454, -677? -962 What comes next: 46411, 92827, 139243, 185653, 232051, 278431, 324787, 371113? 417403 What is the next term in -681, -982, -1281, -1578? -1873 What is next in -634, -5136, -17356, -41152, -80382? -138904 What comes next: -51621, -103240, -154859, -206478? -258097 What is next in 156, 197, 286, 435, 656? 961 What comes next: 70507, 70506, 70505? 70504 What comes next: -171, -402, -655, -942, -1275, -1666, -2127, -2670? -3307 What is next in -985, -1982, -3005, -4066, -5177, -6350? -7597 What is the next term in -20, -41, -56, -65, -68? -65 What comes next: 125936, 125933, 125930, 125927, 125924? 125921 What is next in 10155, 10165, 10189, 10233, 10303, 10405, 10545? 10729 What is next in 2464, 4991, 7580, 10231, 12944, 15719? 18556 What is the next term in 36675, 36651, 36611, 36555? 36483 What is the next term in 4123, 4043, 3975, 3925, 3899? 3903 What is next in -219, -904, -2033, -3594, -5575? -7964 What is next in -639, -2597, -5875, -10473, -16391, -23629? -32187 What is next in -48867, -97731, -146593, -195453? -244311 What is next in 193, 174, 167, 184, 237, 338? 499 What comes next: 441, 1795, 4057, 7227, 11305, 16291, 22185? 28987 What is next in 1447, 1429, 1401, 1363, 1315, 1257, 1189? 1111 What is next in -855, -1488, -2121, -2754? -3387 What is next in 4718, 4721, 4724? 4727 What is the next term in -1320, -1628, -2480, -4152, -6920, -11060, -16848? -24560 What is the next term in -57598, -115199, -172800, -230401, -288002, -345603? -403204 What comes next: 238584, 238588, 238592, 238596, 238600, 238604? 238608 What comes next: 6186, 12317, 18394, 24417? 30386 What comes next: 2070, 1891, 1592, 1173, 634? -25 What comes next: -6097, -5889, -5549, -5083, -4497, -3797, -2989, -2079? -1073 What comes next: 140, 579, 1312, 2339, 3660, 5275? 7184 What is the next term in 327, 126, -209, -678, -1281? -2018 What comes next: 20551, 41099, 61647, 82195, 102743, 123291? 143839 What comes next: -24281, -97144, -218585, -388604, -607201, -874376? -1190129 What is the next term in -139957, -139941, -139925, -139909? -139893 What comes next: 2431, 2451, 2475, 2503, 2535, 2571, 2611? 2655 What comes next: -26, -182, -612, -1454, -2846? -4926 What is next in 594, 1165, 1736, 2307, 2878? 3449 What is next in -79829, -79828, -79827? -79826 What is the next term in 38182, 38176, 38166, 38152, 38134, 38112? 38086 What comes next: -839, -1666, -2483, -3290, -4087, -4874, -5651? -6418 What is next in -94, -131, -194, -283, -398, -539? -706 What comes next: -1965, -3953, -5969, -8025, -10133, -12305, -14553, -16889? -19325 What is the next term in -1626, -1615, -1600, -1587, -1582, -1591, -1620, -1675? -1762 What is the next term in 110, 205, 300, 395, 490, 585? 680 What is the next term in -3726, -14868, -33434, -59424? -92838 What is the next term in 12072, 12070, 12068, 12066, 12064, 12062? 12060 What is next in -56579, -56587, -56595, -56603? -56611 What comes next: 78, 675, 2320, 5535, 10842, 18763, 29820, 44535? 63430 What comes next: 5, 89, 225, 407, 629, 885, 1169? 1475 What is next in 3257, 1669, -977, -4681, -9443, -15263? -22141 What is next in 75693, 151391, 227089, 302787? 378485 What comes next: 7930, 15822, 23666, 31450, 39162, 46790, 54322, 61746? 69050 What is next in 14629, 29281, 43931, 58579? 73225 What is next in -9506, -19042, -28576, -38108, -47638, -57166, -66692? -76216 What is next in -9561, -9558, -9561, -9570, -9585, -9606? -9633 What comes next: -6940, -27759, -62452, -111019? -173460 What comes next: -339, -292, -237, -174, -103, -24, 63? 158 What is next in -631, -2712, -6187, -11056? -17319 What is the next term in -14833, -14880, -15011, -15268, -15693, -16328? -17215 What comes next: 4886, 9773, 14658, 19541? 24422 What is next in 288, 620, 1060, 1662, 2480, 3568, 4980, 6770? 8992 What comes next: 9158, 9277, 9396, 9515? 9634 What is next in 4193387, 8386775, 12580163, 16773551, 20966939, 25160327? 29353715 What is next in -1242, -1527, -1812, -2097, -2382, -2667? -2952 What is the next term in 217, 340, 463, 586? 709 What comes next: 9, -87, -183, -279, -375, -471? -567 What is the next term in -120975, -120974, -120973, -120972? -120971 What is next in -875, -1760, -2661, -3584, -4535? -5520 What comes next: 1804, 1693, 1508, 1249? 916 What is next in 741141, 741145, 741149, 741153, 741157, 741161? 741165 What comes next: -85, -454, -1047, -1858, -2881, -4110, -5539? -7162 What is the next term in -357, -518, -677, -834,
{ "pile_set_name": "DM Mathematics" }
- 2*z + 14, l = 3*z - 5 for l. -2 Solve -4*s = -3*j - 8, 13 = 3*j + s + 11 for j. 0 Solve 2*k - 3*m - 7 = 0, -5*m = k + 28 + 1 for k. -4 Solve -2*j - 5*d - 2 = -0*j, 0 = j - 3*d + 1 for j. -1 Solve -13*p = o - 8*p - 9, 2*o + 5*p - 8 = 0 for o. -1 Solve r = -5*q - 20, 3*r - 5*r + 30 = -4*q for q. -5 Solve -2*v - 2 = a + a, -5*a = 5 for v. 0 Solve -4*o + 18 = -p, -8 = 2*p - 2*o + o for p. -2 Solve -u - 3*d = -0*u + 1, d - 2 = 2*u for u. -1 Solve 2*b + 10 = 4*b - 4*p, 5*p = -5*b - 5 for b. 1 Solve -4*m = 3*f - 6*f + 3, 0 = m - 2*f + 2 for m. 0 Solve -2*j - 4*b = 12, -4*j + 5*b + 21 = 6 for j. 0 Solve -2*b + 1 + 3 = 0, p + b + 2 = 0 for p. -4 Solve -2*h = -5*h + 15, 0 = y + h - 2 for y. -3 Solve -6*p = -10*p + 5*t + 12, -2 = -p + t for p. -2 Solve 6 = 5*v - 3*l - 27, 0 = -2*l - 12 for v. 3 Solve -5*a + 1 = -3*n, -2*n = -n - 5*a + 7 for n. 3 Solve 17 = -5*d + j, 3*j + 2 = -2*d + j for d. -3 Solve 4*b + 3*n + 7 - 16 = 0, 0 = 2*n - 6 for b. 0 Solve 13 - 19 = -3*m + 5*v, -2*m + v + 4 = 0 for m. 2 Solve -4*b - 9 = 5*n, -4*b + 3*b - n = 2 for b. -1 Solve 0 = -h + 2*v + 6, -370*v = -371*v - 1 for h. 4 Solve 5*h = -x - 26, 4*h + 5*x = 3*h - 10 for h. -5 Solve 0 = 3*p + c + 17, -4*p + 17*c - 12*c + 9 = 0 for p. -4 Solve 0*p = -w - p - 3, 4*w = p - 2 for w. -1 Solve 3 = -2*k - 4*h + 7, 0 = -2*h for k. 2 Solve -5 = 3*g - 4*l - 11, -l = -4*g + 8 for g. 2 Solve -m + 4*p = m - 8, 0 = 3*m - 4*p - 6 for m. -2 Solve -3 = -4*z + z - 4*t, 0 = -4*z - t + 17 for z. 5 Solve -2*y + 2 = -3*x, -2 = x + 17*y - 18*y for x. 2 Solve -2*k = 4*g + 16, -2 = -5*k + 4*g + 14 for k. 0 Solve -y + 10 = -3*c, -5*c + 7*c = -2*y - 4 for c. -3 Solve -4*l = -9*l - f - 21, 0 = -5*l + 5*f - 15 for l. -4 Solve -3*k + 4*u + 8 = -0*u, -5*k + 2*u = -18 for k. 4 Solve 3 = 3*w, -h + 3*h = -3*w + 9 for h. 3 Solve 10 = -2*g + 4*n, 0 = -3*g - 5*n - 114 + 99 for g. -5 Solve 10*q - 14*q + o + 8 = 0, -3*q + 5*o = -6 for q. 2 Solve 2*k - 5*h = -8*h, 5*k - 5*h + 25 = 0 for k. -3 Solve 4*n - 144 + 145 = -y, -2*n = y + 1 for y. -1 Solve -2*t = -2*s + 4, -5*t + 18 = 5*s - 2*t for s. 3 Solve 0 = 2*r - 7 - 3, 3*a + 10 = 5*r for a. 5 Solve -8*q + 20 = -4*q, 5*g = 5*q - 50 for g. -5 Solve 0 = -3*v - 4*i + 7, -35 = -3*v - 2*v + 5*i for v. 5 Solve -4*h = -4*c + 4, 5*c - 6 = -h + 5 for h. 1 Solve -5*s - 102*x + 107*x - 35 = 0, -s + 9 = 3*x for s. -3 Solve -9 = y - 4*o, -8 = 2*y + o - 4*o for y. -1 Solve 3*r + 2*g - 17 = -0*g, 17 = -r + 5*g for r. 3 Solve 12 = -3*i + 3*c, -4*i + 3 = -5*i + 2*c for i. -5 Solve 4 = 4*o, -o + 21 = 4*l - 0*o for l. 5 Solve -3*o + 21 = -2*u, -20*u - 3*o = -15*u for u. -3 Solve 3*s - 32 = 5*o, 3 - 23 = -2*s + 3*o for s. 4 Solve -4*d - 202*c + 207*c = 20, -4*d - 5*c - 20 = 0 for d. -5 Solve -4*g - 123 = 3*x - 148, 8 = 2*g for x. 3 Solve -5*v - 3*l - 6 = 0, v - l = 2*l + 6 for v. 0 Solve 55 = 6*j - 5*z, 2*z + 6 = j - 9 for j. 5 Solve 4*i - 1 = -5*t, -2*i + 28 = 2*i - 4*t for i. 4 Solve 3*t = 18, 74*t - 19 = a + 71*t for a. -1 Solve 6 = 2*z, -6*z + 26 = -3*l - 7 for l. -5 Solve 0 = -3*l - 4*y + 36, -5*y + 63 - 17 = 4*l for l. 4 Solve -2 = -m + 4*m - i, -3*m - 2*i - 14 = 0 for m. -2 Solve 0 = 5*h + 15, j + 5*h + 3 = 5*j for j. -3 Solve 30*u - z - 6 = 32*u, z = u + 9 for u. -5 Solve 0 = -3*n + 3*a + 27, 0 = 5*n - a - 3*a - 41 for n. 5 Solve 7*a - 2*a - 5 = -5*j, -j - 2*a = -6 for j. -4 Solve 0 = -6*c + c + 2*y + 27, 3*c = 5*y + 20 for c. 5 Solve -4*q + p = 2 + 3, -4*q = 3*p + 17 for q. -2 Solve 5*k + 4*p + 32 = k, 5*p + 20 = 0 for k. -4 Solve -2*s = 2*p - 6, s - 27 = p - 30 for p. 3 Solve -4*f + f = -4*o - 8, 0 = 5*o - 4*f + 10 for o. -2 Solve 0 = -5*f - 4*p + 43 - 8, -5*f + 4*p = 5 for f. 3 Solve -3*x + 0*s + 3*s = 0, 2*x - 1 = 3*s for x. -1 Solve z = -6, 12*z - 15*z - 22 = 2*r for r. -2 Solve -5 = u - 5*j, -4*u = -0*u - j + 1 for u. 0 Solve -5*a - 19 = n, -92*a = 3*n - 90*a + 18 for n. -4 Solve -3*t = 2*q - 16, 175*q + 13 = -t + 178*q for t. 2 Solve -f = 23*q - 24*q + 4, -f - 12 = -5*q for f. -2 Solve -6 = -3*b, -r - 2*b + 1 = b for r. -5 Solve -z - 30 = -5*k, -4*z - 35 = -3*k - 0*k for z. -5 Solve 1 = -f, 0*x = x - 2*f for x. -2 Solve 0 = k - 5*m - 28, 5*k + 3*m + m = -5 for k. 3 Solve 2 = -3*a - u, 0 = 2*a + 3*u - u - 4 for a. -2 Solve 2*p = 7*b - 4*b - 9, -3*b + 9 = 0 for p. 0 Solve 131*u - 128*u = 4*x + 13, 3*u + 2*x + 11 = 0 for u. -1 Solve -4*k - 76 = b - 57, -5*k - 14 = -2*b for b. -3 Solve -4*v = 3*n + 23, 8*v - 7 = -3*n + 10*v for n. -1 Solve -3*h = -x, -h = 4*x + 4*h for x. 0 Solve -1 = o + 10*f - 9*f, 2*f + 2 = o for o. 0 Solve x - 3 = -3*d, 46*d + 4*x - 29 = 51*d for d. -1 Solve -3*d - 3*r = 30, 36*d + 40 = 33*d - 5*r for d. -5 Solve 0 = 4*i - q - 4*q - 8, 4*i + q - 8 = 0 for i. 2 Solve -s - 2*m + 12 = 0, 3*m = 12*s - 14*s + 19 for s. 2 Solve 3*s = -f + 8, -4*f - 3*s + 6 = 1 for f. -1 Solve -2*j - 7*a + 13 = -4*a, -4*a = 5*j - 29 for j. 5 Solve 5*c - 3*t = -115 + 80, 4*t = -2*c + 12 for c. -4 Solve -4*f - 14 = -2*k + 4*k, 4*f + 12 = 0 for k. -1 Solve 0 = -4*y - 2*q + 16, 3*y - 4*q + 2 = 3 for y. 3 Solve h - 6 = 3*i, -2*i - 15 = -h - 11 for h. 0 Solve 0 = -4*i + 4*w - 12, 0 = -0*w - 4*w + 12 for i. 0 Solve p - 5 = 5*a, 0 = p - 0*p - 2*a - 2 for p. 0 Solve 0 = 4*c - 5*f + 4*f - 24, -f - 19 = -3*c for c. 5 Solve 0 = 3*r - 4*d - 7, -2*d + 2 - 18 = -4*r for r. 5 Solve 0 = -k + 3*t - 21, 0*k = -5*k - t + 7 for k. 0 Solve -n + 5*n + 5*m + 25 = 0, -3*m = -n - 2 for n. -5 Solve -f + 3*l = 13, 4*l = 5*f + 9 + 12 for f. -1 Solve 3*k - 7 + 4 = 0, 0 = 4*n - 5*k + 17 for n. -3 Solve 3*a - 6*a = 5*h - 40, -h = -a for h. 5 Solve 678 = -l + 676, 18 = -4*u - l for u. -4 Solve -h = -137*o + 132*o - 23, -2*o = 8 for h. 3 Solve -5*h + 0 + 1 = -2*n, h - 14 = 5*n for n. -3 Solve -4*u - 6 = -2*u, -4*v = 2*u + 6 for v. 0 Solve 41*n - 5*k - 21 = 38*n, -3*n - 5*k - 9 = 0 for n. 2 Solve f - 5*f + 4 = 0, 4*v - 3*f = -23 for v. -5 Solve w - a + 1 = 0, -a = 4*w - 15 + 14 for w. 0 Solve -5*z + 20 = 7*k - 8*k, -4*k + z - 23 = 0 for k. -5 Solve 5*s = 4*w + 29, w + s = 3*s - 11 for w. -1 Solve -2*i - 1 = -5*h, -5*h + i - 5*i + 13 = 0 for h. 1 Solve -166*r = -171*r - c + 9, r - 3*c = 5 for r. 2 Solve 5*l = -2*o + 7 - 0, -3*l = -3*o for l. 1 Solve 3*o - 3*s = 2 - 20, 0 = 5*o - 2*s + 18 for o. -2 Solve 8 = -2*f - 2*g, -11*g + 15*g = f + 9 for f. -5 Solve -7 = 2*u + 3*y, 2*y - 2 = 5*u - 3*u for u. -2 Solve 3*t - 4*l + 19 = 0, -7*l + 2*l = 2*t + 5 for t. -5 Solve -29 = -24*o + 26*o + 5*r, -r - 13 = 4*o for o. -2 Solve -4*z - 3 = -c, -3*z + 15 = 2*c + 3*c for c. 3 Solve -5*p - s - 10 = 0, -3*s + 22 - 4 = -p for p. -3 Solve r - 5 = 3*q + 5*r, 4*q + 4*r + 4 = 0 for q. 1 Solve 3*r - 251*l - 12 = -253*l, -l = -3 for r. 2 Solve 2*w + 19 = -3*f, -4*w + 4*f - 29 = 7*f for w. -5 Solve -3 = -3*h, -2*h - 4 = 3*g + 9 for g. -5 Solve 5*o + 4*f = -2 + 14, -12 = -o + 4*f for o. 4 Solve 2*c - 10 = 5*i, 2*c - 8 = -0*i + 4*i for c. 0 Solve 11 = -4*d - 9, -4*l = -5*d - 9 for l. -4 Solve 7 = -3*p - 4*h, -12*h + 11*h = p + 3 for p. -5 Solve 5*b - 25 = 5*z, -4*b - 7 = 5*z - 18 for z. -1 Solve 5*w = 0, -114*j + 117*j + 15 = -3*w for j. -5 Solve 2*v + 5*t = -6, -33*v - 2*t - 12 = -37*v for v. 2 Solve 2*x + 22 = -4*t, 23 = -14*t + 10*t - 3*x for t. -5 Solve -4*b + 5*w + 3 = 0, 60*w + 8 = 5*b + 58*w for b. 2 Solve 2*h - 4 = 0, 0*w + 5 = -3*w + 4*h for w. 1 Solve 6 = 5*j + 4*r + 21, 2*j - 3*r - 17 = 0 for j. 1 Solve 5*k = -5*d, 2*d - 5*k - 7 = -28 for d. -3 Solve -4*w + 16 = 0, -4*w - 1 = 3*k - 5*w for k. 1 Solve -w + 6 = -h, 2*w - 106*h + 2 = -111*h for w. 4 Solve 5*j - 3*n = 19, -n + 5*n = -j - 10 for j. 2 Solve 5*g = -r + 4, 3*r + 82*g = 83*g + 12 for r. 4 Solve -3*t - 5*d - 18 = 0, -t - 10*d - 13 = -6*d for t. -1 Solve 3*c - q - 9 = 0, 5*c - 5*q - 9 = 8*c for c. 2 Solve 0 = -3*y - 4*r - 2, -12*y - 4*r = -13*y + 10 for y. 2 Solve -q + 92*o - 89*o = -3, 5*o = 0 for q. 3 Solve -4*n = 20, 0 = -h + 4*h - 5*n - 10 for h. -5 Solve 3*c + 3*c = 3*d + 3, -3*c = -d - 3 for d. 3 Solve -4*v = 5*g - 4, 2*v - 3*g = -5*g for v. -4 Solve -3*w + 2*p + 23 = 0, -4*p + p + 3 = 3*w for w. 5 Solve 4*p - r + 26 = -3*r, -p + 21 = -5*r for p. -4 Solve -25*s + 41 = -29*s - 5*c, 4*s - 3*c + 1 = 0 for s. -4 Solve -13 = 2*c - 5*b, 0*b = 3*c - 5*b + 12 for c. 1 Solve 2*p - 3*j + 6*j = 0, 0 = -3*p - 5*j + 1 for p. -3 Solve 3*h + 5*p - 17 = 0, 5*h - 5*p + 9 = 6*h for
{ "pile_set_name": "DM Mathematics" }
mber? True Let p(u) = -7*u**2 + 2*u + 29. Let c be p(15). Let b = 2739 + c. Is b prime? True Let v = -28303 - -43244. Is v a prime number? False Let r(w) = 366*w**2 + 503*w - 100. Is r(-27) a composite number? False Let m = -210 - -201. Is 769/(-8)*(m - -1) composite? False Let h(r) = -27*r**3 + 3 - 7 + 4*r**2 - 14*r**3 + 6. Let j(c) = 124*c**3 - 11*c**2 - 5. Let k(l) = -11*h(l) - 4*j(l). Is k(-2) prime? False Suppose 2*g - w = 84, -w + 3*w - 140 = -3*g. Let b be 8/g - 4/22. Suppose 16168 = 4*m + 4*t, 3*m + 5*t - 12120 = -b*m. Is m a prime number? False Suppose 0 = -14*d + 12*d + 8568. Let z = d - 793. Is z composite? False Let v = 98509 + -21930. Is v composite? False Let m = 9 + -3. Suppose -4*z = -2*c + 8512, 2*z + m = 4*z. Suppose -5*g + c = 667. Is g a prime number? True Suppose 0*h - 5*h = -3*y - 125971, 0 = -4*h + 20. Is (-2*1)/(0 - (-12)/y) composite? False Is (-4 + 950896/(-40))*4/(32/(-20)) composite? False Let s = -4104 + 7103. Is s a prime number? True Let u = 4 + -14. Let a be u/(-35) + (-4708)/14. Let s = 1817 - a. Is s a composite number? False Let z(t) = -6*t + 227. Let r be z(37). Is (20/(-5) + 3)*r - -454 prime? True Let v be 111*(-8 + 40/(-3)). Let z = 5642 + v. Is z a prime number? False Let k be (-8)/(-12)*3/2. Let a = k - -2. Suppose 0*s + s + 5*g = 1419, 0 = -5*s + a*g + 6983. Is s prime? True Let r(j) = -166*j**3 - 407*j**3 + 3 + 223*j**3 + j. Let z be r(-3). Suppose x - b = -2*x + 5668, 5*x - z = b. Is x a composite number? True Suppose -3*r + 4*j = 12 - 30, r - 4*j = 14. Let c(s) = 60*s**2 + 13 + 18 + 23*s - 58*s**r. Is c(-24) a prime number? True Let y(v) = 10951*v - 701. Is y(10) a prime number? False Suppose 0 = -7*u + 18 + 17. Is u/((-2)/(-428)*2) composite? True Suppose p = -5*s + 20, 3*p - 5*s = 6*p - 20. Suppose p = -2*w + 7 - 3. Suppose w*a = 5*n - 1117, -5*n - a = 4*a - 1110. Is n prime? True Let t = -1871 + 1642. Let d(b) = 133*b + 4. Let l be d(4). Let m = t + l. Is m a composite number? False Let o = -749 + 1895. Let c = 1427 + o. Suppose -9*q + c = -1198. Is q composite? False Suppose -3*s - 14 = -5*n + 4, -2*s - 2 = 0. Suppose -d + n*d = 656. Suppose -1222 = -10*m + d. Is m a composite number? True Let y(f) = -86*f**2 - 39*f + 68. Let h be y(-38). Is (h/(-12) + -4)/((-2)/(-4)) a composite number? False Let v(o) = 30*o**2 + 18*o**2 - 8*o - 18 - 44*o**2 + 11*o**2. Suppose -a + 13 = -3*d, -2*d - a - 9 = -2*a. Is v(d) prime? False Suppose -2*g + 18988 = 3*b - 31863, 2*g - 3*b - 50857 = 0. Let p = -15754 + g. Is p prime? False Let a be (-101372)/(-13) - (4 + (-108)/26). Let u = 14538 - a. Suppose 0 = 4*y - q - u, -2*y + 6740 = 2*y + 4*q. Is y a prime number? False Suppose -3*l = -31497 - 6722 - 121678. Is l prime? True Suppose 0 = 4*r - 54 - 2. Let a(j) = 180*j - 41. Is a(r) a composite number? True Let b(c) = 1387*c + 3831. Is b(38) prime? False Let n be (-9)/21 + 96/28. Let z be (-534481)/177 - ((-4)/n)/2. Let c = z - -5454. Is c a prime number? False Suppose 13230 = 323*j - 317*j. Suppose 293 = f - 5*m - j, 2504 = f + m. Is f a prime number? True Suppose 43*w = 22*w + 2794113. Is w a prime number? False Suppose -22*z + 166693 = -236391. Suppose -40*y - 3482 = -z. Is y prime? False Let g = -77 + 110. Suppose -14*y - 394649 = -g*y. Is y prime? True Suppose 36 = i - 36. Let t = 75 - i. Suppose -g + 5 = 0, p + t*g - 26 = 146. Is p prime? True Let k = 68557 - -281040. Is k a composite number? True Suppose 17*w - 5*w - 36 = 0. Suppose 4*y - 78180 = -4*r, w*y + 5*r = 4*r + 58627. Is y a prime number? True Suppose 0 = 5*p + h - 9 - 1, 0 = 5*p - 4*h - 10. Suppose p*z = -c + 793, 3*c - 2*z = 2*z + 2349. Is c a composite number? False Let c(k) = 4770*k**2 + 171*k + 977. Is c(-6) prime? True Let b be (-6)/(-14) + 170/(-70). Let x be b/(4 + (-11)/3). Is (-12318)/(-48) - x/16 a prime number? True Let h be 1/12 + 247070/120. Let t = 3500 - h. Is t composite? True Suppose -16202 = -4*t + 3*n, 44*n - 46*n - 4 = 0. Is t prime? True Let x = 969964 - 249207. Is x a composite number? True Let k be (-4)/(-2)*(-7)/(-2). Let y(i) be the third derivative of i**6/30 + 11*i**5/60 - i**4/4 - 3*i**3 - i**2 - 1591*i. Is y(k) a prime number? False Let c be (-1 + 3)/(-2) + 1/(-1). Is 10379/5 + c - (-4)/(-5) a composite number? True Let t be (2 + 6/(-9))/(112/420). Suppose t*a + 3*v = 43327, 7*a = 3*a + 4*v + 34636. Is a a composite number? False Suppose 29*j + 380954 = -6*j + 13470429. Is j a prime number? False Let i = 498 + -495. Suppose 0*r = i*t - 3*r - 6705, r = 2. Is t a prime number? True Let l(r) be the first derivative of r**4/4 - 8*r**3/3 - 15*r**2/2 + 25*r + 2. Let j = 457 + -446. Is l(j) a composite number? False Suppose -18 = -5*u + 7. Let r(b) = 4459*b**3 + 8*b - 7. Let a be r(1). Suppose -2*v = 4*d + v - 3547, a = 5*d - u*v. Is d composite? True Is (-131 - -117) + 1 + 29730 a prime number? True Let o = -4814 + 17037. Is o a composite number? True Suppose 5*g - 81 + 6 = 0. Let t(k) = k**3 - 4*k**2 - 3*k + 18. Let a be t(g). Suppose -5*l = 20, -2*i + l + a = 2*i. Is i composite? True Let v(i) = 7*i**3 + 26*i**2 - 79*i + 1413. Is v(28) a composite number? False Let k(r) = -3*r + 11*r**2 + r + 7 + 0*r - r**2. Suppose 18 = -3*q - 0*q. Is k(q) a composite number? False Suppose 65*u - 1148542 = 1576566 + 4587847. Is u a prime number? True Let z = 142862 - 36587. Is 2 + z/169 + (-2)/(-13) prime? True Let z(t) = 3*t**2 - 122*t - 1619. Is z(100) a composite number? True Let n be 15/(-1 - 2)*188/(-20). Let k be (5625/27)/5*n*3. Suppose -j = -3*x + 3729, 0 = -4*x - 2*j - 903 + k. Is x composite? True Suppose -8*w = 67184 - 282648. Is w a composite number? True Suppose u = r - 40462 - 156978, -4*u = 4*r - 789768. Is r a prime number? True Let o(u) = -2*u**2 - 14*u + 2. Let p be o(-7). Let l(g) = g**3 + 21 - g + 16*g - 36*g**2 + 64*g**p. Is l(-11) a prime number? True Let m(n) = 2*n**2 + 19*n + 35. Let d be m(-7). Is (-13)/26*(-4102 + d) composite? True Let m = -405306 + 705677. Is m prime? False Is (-1)/((-1425606)/356398 - -4) composite? False Let g be (1 + 5)/((-9)/(-6)). Suppose -3*n + 13046 = 4*r, -2*n + 8938 + 4106 = 4*r. Suppose 0*z - g*z = -r. Is z a prime number? False Suppose -4*k - k = 0, -2*w = 2*k + 1910. Suppose 7*l - 6130 - 4608 + 700 = 0. Let n = l + w. Is n a prime number? True Let l(r) = -8816*r - 183. Is l(-4) prime? True Suppose -4*o = 3*s - 606827, 2*s + 303396 = -0*o + 2*o. Is o composite? False Suppose 5*u - 7151 = 3*v, 4*v + v + 11965 = -u. Let x = 578 + v. Is x/4*(-3 + 1) a composite number? False Let n be 1173/207*(-1602)/(-2). Suppose 4*d + 5*o = -n + 46448, 4*o - 10491 = -d. Is d a prime number? False Suppose z - 65 = -14. Let y be -5119*(1/2)/(14/(-28)). Is (-17)/z - y/(-3)*1 prime? False Let y(q) = 3*q**2 + 71*q + 187. Suppose -6*a + 17 - 293 = 0. Is y(a) composite? True Suppose -1526773 = -4*j - 32*j + 59776871. Is j a prime number? True Let t be (2/(5 - 9))/(1/(-24)). Let f be 2125 - ((-2)/(-3) + t/(-18)). Let a = f - 1224. Is a composite? True Let j = 98 + -91. Suppose j*a - 42 = a. Suppose -a*y - 1828 = -7967. Is y composite? False Suppose 6*x - 2*x + 2*q = 48, 2*q = 0. Let j(s) = 2*s**3 - 7*s**2 - 13*s + 9. Let k be j(8). Suppose -x*m = m - k. Is m a prime number? True Suppose -5004407 = 40*i - 60121327. Is i a prime number? True Let q = 293 - 116. Let n(x) = -q*x + 6 - 6 + 2 + 0. Is n(-5) composite? False Let b(h) = -203576*h + 1659. Is b(-4) a composite number? False Let x = 164 - 151. Suppose 6*h - 5 = x. Suppose -2698 = -h*d + 5*q + 622, -2*d = 2*q - 2240. Is d composite? True Suppose 18*j - 1068151 = -32377. Is j prime? False Let l = 169 + -69. Let q be l/(-8)*3/((-30)/(-8)). Is ((-4)/6)/(q/1905)*1 a prime number? True Suppose 0 = 3*u + 2 - 17. Suppose 0 = 7*b - 5 + u. Is 6/(-9) - (5194/(-6) + b) composite? True Let v(p) = 1472*p**2 + 2*p. Let a be v(1). Suppose 2*i - 749 = -q, 0*q + 4*i + a = 2*q. Is q prime? True Let m be -1 - (-1)/(2 - 3/3). Let q be (1 - 4/(-2))*(1 - m). Suppose 7*t - 243 = -v + 2*t, 0 = 3*v - q*t - 765. Is v prime? False Let c be ((-48)/(-10))/(213/33370). Suppose -18*u + 22*u = -o + 1494, -3*o + c = 2*u. Is u composite? False Let f(a) = 151*a**2 + 14*a - 229. Is f(-48) prime? True Suppose 0 = -158*a + 254*a - 24187515 - 24805797. Is a composite? True Let n(u) = -u**3 +
{ "pile_set_name": "DM Mathematics" }
placement from {s: 2, o: 1, q: 6, d: 2, r: 4}. 2/455 Four letters picked without replacement from wwwwwqwwwwww. Give prob of sequence wqqq. 0 Calculate prob of sequence uutw when four letters picked without replacement from anaasusstwaa. 0 Calculate prob of sequence fesf when four letters picked without replacement from {u: 1, v: 10, s: 1, f: 2, e: 3}. 1/9520 What is prob of sequence ii when two letters picked without replacement from {i: 2, g: 18}? 1/190 What is prob of sequence ooj when three letters picked without replacement from {y: 1, i: 6, o: 4, j: 4}? 8/455 Calculate prob of sequence vvxk when four letters picked without replacement from {v: 11, k: 3, x: 4}. 11/612 Three letters picked without replacement from {i: 1, m: 1, o: 1}. What is prob of sequence oim? 1/6 What is prob of sequence byb when three letters picked without replacement from ybybybyyyybyyyby? 11/168 Two letters picked without replacement from wwwwsaasswwawwaws. Give prob of sequence aw. 9/68 Calculate prob of sequence aok when three letters picked without replacement from {c: 6, k: 9, o: 1, a: 3}. 3/646 Three letters picked without replacement from lydlwzzlwz. Give prob of sequence lww. 1/120 Two letters picked without replacement from {f: 1, l: 3, s: 2, t: 2, m: 3, w: 3}. Give prob of sequence mw. 9/182 Two letters picked without replacement from {f: 2, t: 8, r: 4, a: 5}. Give prob of sequence tt. 28/171 Calculate prob of sequence ruqy when four letters picked without replacement from {v: 3, q: 1, r: 1, u: 2, y: 3}. 1/840 Three letters picked without replacement from rrrrrrdr. Give prob of sequence rrd. 1/8 What is prob of sequence yyy when three letters picked without replacement from {y: 9}? 1 Two letters picked without replacement from szzszzz. Give prob of sequence ss. 1/21 What is prob of sequence vz when two letters picked without replacement from zzzvzztqt? 5/72 Four letters picked without replacement from izzimzhzmmjhzz. What is prob of sequence mzhj? 3/2002 Two letters picked without replacement from xxddddxxxxxxxxxbdx. Give prob of sequence xb. 2/51 What is prob of sequence eaee when four letters picked without replacement from aaeaaeaeeaaee? 7/143 Three letters picked without replacement from qqllallqblgg. Give prob of sequence glg. 1/132 Two letters picked without replacement from {n: 1, i: 5, h: 1, e: 1, x: 3}. What is prob of sequence xh? 3/110 What is prob of sequence nwar when four letters picked without replacement from nnwnwwwtawr? 1/528 Four letters picked without replacement from uuuutttuuuuuuuuuttu. Give prob of sequence utut. 455/11628 Four letters picked without replacement from {z: 2, y: 4, r: 8, m: 3, f: 2}. Give prob of sequence yzyy. 1/1938 Calculate prob of sequence aacc when four letters picked without replacement from ckkkakckkckkaack. 3/1820 What is prob of sequence pi when two letters picked without replacement from isvvpsssvippiivv? 1/20 Three letters picked without replacement from ysysysssyyysiyzss. Give prob of sequence zss. 7/510 Calculate prob of sequence iv when two letters picked without replacement from {a: 2, v: 3, i: 10, t: 1}. 1/8 What is prob of sequence ooo when three letters picked without replacement from oeazzaoaa? 0 Calculate prob of sequence kr when two letters picked without replacement from {k: 5, r: 4, u: 2}. 2/11 Three letters picked without replacement from ufgllffgull. What is prob of sequence ufu? 1/165 Three letters picked without replacement from {p: 1, t: 5, v: 6, l: 2, u: 1, y: 1}. Give prob of sequence pvv. 1/112 What is prob of sequence izzi when four letters picked without replacement from {t: 1, i: 3, z: 4}? 3/70 Calculate prob of sequence gmw when three letters picked without replacement from {z: 3, m: 1, w: 1, g: 3, d: 3}. 1/330 Calculate prob of sequence ri when two letters picked without replacement from {a: 1, m: 1, l: 1, f: 1, r: 2, i: 1}. 1/21 Three letters picked without replacement from lhi. Give prob of sequence lih. 1/6 Calculate prob of sequence bz when two letters picked without replacement from ffyzzvfdffffzffvbzff. 1/95 What is prob of sequence iie when three letters picked without replacement from {i: 2, m: 2, e: 1}? 1/30 Three letters picked without replacement from eeeueuuueeuuue. What is prob of sequence euu? 7/52 Calculate prob of sequence dj when two letters picked without replacement from {d: 2, j: 9, b: 5}. 3/40 Calculate prob of sequence do when two letters picked without replacement from {o: 4, e: 1, n: 2, d: 2}. 1/9 What is prob of sequence xmvk when four letters picked without replacement from xkvmwwj? 1/840 Calculate prob of sequence krck when four letters picked without replacement from rccvrvrrrkrrrrrrrk. 1/1530 Calculate prob of sequence lgf when three letters picked without replacement from gllieif. 1/105 Two letters picked without replacement from aahozhx. What is prob of sequence oz? 1/42 Calculate prob of sequence yy when two letters picked without replacement from {m: 2, y: 4}. 2/5 Two letters picked without replacement from mgrrmrrmfr. Give prob of sequence fr. 1/18 Four letters picked without replacement from {t: 2, f: 4, o: 3, j: 3, l: 1, p: 2}. What is prob of sequence flft? 1/1365 Two letters picked without replacement from {z: 3, q: 1, o: 1, p: 5}. Give prob of sequence pz. 1/6 Three letters picked without replacement from {v: 1, y: 7}. Give prob of sequence yvy. 1/8 What is prob of sequence xxxx when four letters picked without replacement from xxxxxuxxxxxtuutxxx? 143/612 Calculate prob of sequence fv when two letters picked without replacement from {p: 1, v: 2, f: 1, g: 1, d: 5}. 1/45 Three letters picked without replacement from {m: 4, k: 4, a: 1, z: 1}. What is prob of sequence aak? 0 What is prob of sequence ini when three letters picked without replacement from fffiifninfnffn? 1/91 Two letters picked without replacement from {s: 2, v: 1, m: 1, p: 5}. Give prob of sequence sv. 1/36 What is prob of sequence mk when two letters picked without replacement from kmkkkkm? 5/21 Three letters picked without replacement from siiiwoisiowiowiwoii. Give prob of sequence wii. 16/323 Four letters picked without replacement from txxooxkoxto. Give prob of sequence tokx. 2/495 Three letters picked without replacement from {t: 4, e: 1, f: 3, r: 1, h: 2}. What is prob of sequence fet? 2/165 Three letters picked without replacement from didxiiid. Give prob of sequence iid. 3/28 What is prob of sequence sx when two letters picked without replacement from mcxxmdmxsmmx? 1/33 Three letters picked without replacement from {m: 1, f: 1, g: 1, u: 1, y: 3}. What is prob of sequence gfu? 1/210 Four letters picked without replacement from eueseuu. What is prob of sequence uuue? 3/140 What is prob of sequence nn when two letters picked without replacement from nnaa? 1/6 Two letters picked without replacement from cfuvfv. What is prob of sequence uf? 1/15 Three letters picked without replacement from ioioayoaaao. What is prob of sequence iao? 16/495 What is prob of sequence oo when two letters picked without replacement from {h: 1, o: 4, s: 3}? 3/14 Two letters picked without replacement from zzzzhzzhhzz. What is prob of sequence hh? 3/55 What is prob of sequence ooko when four letters picked without replacement from {o: 1, z: 1, k: 4, x: 1, u: 1}? 0 Calculate prob of sequence ecy when three letters picked without replacement from yec. 1/6 Calculate prob of sequence nc when two letters picked without replacement from uuccuujcncjjcjnczcjz. 7/190 Two letters picked without replacement from ugaaathtaatutatfa. Give prob of sequence tf. 5/272 Three letters picked without replacement from {z: 12, t: 6}. Give prob of sequence ttt. 5/204 Three letters picked without replacement from wdwdddwdddd. Give prob of sequence wdw. 8/165 Two letters picked without replacement from {x: 2, t: 2}. Give prob of sequence xx. 1/6 Three letters picked without replacement from jjl. What is prob of sequence llj? 0 Three letters picked without replacement from {z: 2, s: 4, t: 1, r: 1, e: 1}. Give prob of sequence rze. 1/252 Calculate prob of sequence rrr when three letters picked without replacement from rrwr. 1/4 What is prob of sequence wqnw when four letters picked without replacement from wnnwwqqnbn? 1/105 T
{ "pile_set_name": "DM Mathematics" }
Is 1273673 prime? True Is 4444049 a composite number? False Is 25146851 a prime number? False Is 168901379 a composite number? False Is 117027007 composite? True Is 7382231 composite? True Is 69117157 a composite number? True Is 136973827 composite? False Is 4233899 a composite number? True Is 914057527 a prime number? True Is 21831233 composite? True Is 944857 a composite number? False Is 1331921 prime? True Is 905540159 a composite number? False Is 24899 a prime number? False Is 41707199 composite? False Is 4191311 prime? True Is 444887979 prime? False Is 1907291 prime? True Is 39235577 prime? False Is 27662443 prime? True Is 12515461 prime? False Is 9766586 prime? False Is 8794757 composite? False Is 255613 a composite number? False Is 20873 prime? True Is 131209751 prime? True Is 55021637 prime? False Is 48298097 prime? True Is 89208131 a composite number? False Is 1878995 a composite number? True Is 291344351 a composite number? True Is 15067823 composite? 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False Is 46704281 a composite number? True Is 9552271 a prime number? True Is 457356777 composite? True Is 5755871 a prime number? False Is 4234721 a prime number? True Is 205653443 a composite number? False Is 91886 a composite number? True Is 4074137 a composite number? False Is 43169339 a composite number? False Is 2398699 a composite number? False Is 281381 a prime number? True Is 323411453 a composite number? False Is 2782133 a prime number? False Is 28536379 a composite number? True Is 843547 a prime number? False Is 17147387 a composite number? False Is 30819697 a composite number? True Is 83742991 a composite number? False Is 337754009 composite? False Is 26701267 composite? False Is 2148955 a composite number? True Is 37683109 prime? True Is 20016677 composite? False Is 2929621 a prime number? True Is 21829393 composite? True Is 30774181 composite? False Is 100924163 prime? True Is 5719811 a prime number? False Is 4063786 prime? False Is 68842117 a composite number? False Is 758509 prime? False Is 525880571 a composite number? False Is 15346777 a composite number? True Is 190207 a composite number? False Is 2071649 a composite number? False Is 2900281 a composite number? False Is 188785253 composite? False Is 138938581 a prime number? True Is 187024261 prime? False Is 378247 composite? True Is 18327077 a composite nu
{ "pile_set_name": "DM Mathematics" }
3521? 3 What is the hundred thousands digit of 3934226? 9 What is the tens digit of 2802894? 9 What is the thousands digit of 22475? 2 What is the ten thousands digit of 3162922? 6 What is the units digit of 10597838? 8 What is the hundred thousands digit of 2098731? 0 What is the ten thousands digit of 2220815? 2 What is the thousands digit of 1237414? 7 What is the tens digit of 1191390? 9 What is the ten thousands digit of 780742? 8 What is the millions digit of 1021403? 1 What is the thousands digit of 15268? 5 What is the ten thousands digit of 502760? 0 What is the hundreds digit of 41647? 6 What is the ten millions digit of 12816470? 1 What is the tens digit of 2192694? 9 What is the millions digit of 18739090? 8 What is the hundred thousands digit of 8361601? 3 What is the ten thousands digit of 8045297? 4 What is the thousands digit of 929947? 9 What is the ten thousands digit of 316903? 1 What is the millions digit of 1409577? 1 What is the units digit of 963504? 4 What is the units digit of 1103482? 2 What is the hundred thousands digit of 237004? 2 What is the tens digit of 5063024? 2 What is the tens digit of 3392944? 4 What is the tens digit of 649626? 2 What is the hundred thousands digit of 241153? 2 What is the hundred thousands digit of 3246819? 2 What is the ten thousands digit of 1474208? 7 What is the thousands digit of 124841? 4 What is the ten thousands digit of 997968? 9 What is the hundred thousands digit of 25117985? 1 What is the tens digit of 863620? 2 What is the hundreds digit of 2588067? 0 What is the tens digit of 1888854? 5 What is the hundred thousands digit of 2692307? 6 What is the hundreds digit of 213159? 1 What is the tens digit of 65472? 7 What is the ten thousands digit of 57119? 5 What is the ten thousands digit of 241878? 4 What is the hundreds digit of 7983254? 2 What is the hundred thousands digit of 7581297? 5 What is the ten thousands digit of 493784? 9 What is the thousands digit of 3785110? 5 What is the units digit of 5724302? 2 What is the millions digit of 1768599? 1 What is the tens digit of 56500? 0 What is the thousands digit of 181042? 1 What is the units digit of 6627245? 5 What is the hundred thousands digit of 1631211? 6 What is the hundreds digit of 2335765? 7 What is the hundred thousands digit of 8787909? 7 What is the hundred thousands digit of 2149868? 1 What is the units digit of 2536791? 1 What is the thousands digit of 140962? 0 What is the millions digit of 1823672? 1 What is the thousands digit of 78414? 8 What is the thousands digit of 348847? 8 What is the millions digit of 15061536? 5 What is the units digit of 361273? 3 What is the thousands digit of 2891707? 1 What is the units digit of 22951? 1 What is the thousands digit of 3236916? 6 What is the ten thousands digit of 251997? 5 What is the hundred thousands digit of 390674? 3 What is the ten thousands digit of 7515903? 1 What is the tens digit of 90221? 2 What is the thousands digit of 25669245? 9 What is the units digit of 2161480? 0 What is the ten thousands digit of 2026302? 2 What is the tens digit of 560945? 4 What is the hundred thousands digit of 19173019? 1 What is the thousands digit of 15685714? 5 What is the tens digit of 154027? 2 What is the units digit of 7294963? 3 What is the thousands digit of 445156? 5 What is the tens digit of 4051041? 4 What is the hundreds digit of 579402? 4 What is the units digit of 71633? 3 What is the units digit of 2185607? 7 What is the hundred thousands digit of 856152? 8 What is the millions digit of 19158392? 9 What is the tens digit of 413077? 7 What is the units digit of 13695662? 2 What is the tens digit of 4743843? 4 What is the thousands digit of 4401181? 1 What is the units digit of 5994880? 0 What is the units digit of 539660? 0 What is the ten thousands digit of 112075? 1 What is the units digit of 3453? 3 What is the hundred thousands digit of 348247? 3 What is the hundreds digit of 380569? 5 What is the tens digit of 9420157? 5 What is the tens digit of 566509? 0 What is the ten thousands digit of 72212? 7 What is the hundreds digit of 618886? 8 What is the hundred thousands digit of 1795986? 7 What is the hundreds digit of 5347576? 5 What is the hundreds digit of 192759? 7 What is the ten thousands digit of 598139? 9 What is the thousands digit of 39277210? 7 What is the hundred thousands digit of 23217916? 2 What is the ten thousands digit of 20544? 2 What is the units digit of 224625? 5 What is the ten thousands digit of 30427? 3 What is the thousands digit of 290587? 0 What is the ten thousands digit of 414134? 1 What is the ten thousands digit of 9395835? 9 What is the millions digit of 4005806? 4 What is the tens digit of 293396? 9 What is the hundreds digit of 3344045? 0 What is the units digit of 815716? 6 What is the tens digit of 3330613? 1 What is the hundreds digit of 14152010? 0 What is the units digit of 75060? 0 What is the units digit of 190796? 6 What is the ten thousands digit of 2924316? 2 What is the ten millions digit of 26789989? 2 What is the ten thousands digit of 18939454? 3 What is the tens digit of 3270453? 5 What is the ten thousands digit of 1022370? 2 What is the units digit of 12767714? 4 What is the hundreds digit of 18285612? 6 What is the millions digit of 31046239? 1 What is the hundred thousands digit of 298310? 2 What is the thousands digit of 409010? 9 What is the hundred thousands digit of 10040543? 0 What is the ten millions digit of 25504158? 2 What is the thousands digit of 227796? 7 What is the hundreds digit of 157936? 9 What is the hundreds digit of 4558508? 5 What is the tens digit of 1468797? 9 What is the ten millions digit of 11066338? 1 What is the hundreds digit of 4348185? 1 What is the thousands digit of 3020764? 0 What is the ten thousands digit of 20341655? 4 What is the ten thousands digit of 328772? 2 What is the hundred thousands digit of 220700? 2 What is the thousands digit of 1094665? 4 What is the hundreds digit of 903137? 1 What is the tens digit of 97466? 6 What is the millions digit of 3365487? 3 What is the thousands digit of 152826? 2 What is the tens digit of 2683647? 4 What is the millions digit of 2288743? 2 What is the tens digit of 1987284? 8 What is the hundreds digit of 2191247? 2 What is the hundreds digit of 3453102? 1 What is the thousands digit of 43216? 3 What is the thousands digit of 3701099? 1 What is the units digit of 2587735? 5 What is the units digit of 1099960? 0 What is the thousands digit of 624446? 4 What is the thousands digit of 392274? 2 What is the units digit of 48663? 3 What is the ten thousands digit of 247805? 4 What is the hundred thousands digit of 14211811? 2 What is the millions digit of 19676161? 9 What is the tens digit of 3626973? 7 What is the units digit of 2427383? 3 What is the thousands digit of 5078242? 8 What is the units digit of 40855588? 8 What is the thousands digit of 7830053? 0 What is the thousands digit of 6238158? 8 What is the thousands digit of 192778? 2 What is the ten thousands digit of 221560? 2 What is the millions digit of 3129288? 3 What is the ten thousands digit of 190772? 9 What is the ten thousands digit of 3811569? 1 What is the hundred thousands digit of 131419? 1 What is the units digit of 2430690? 0 What is the millions digit of 29922449? 9 What is the thousands digit of 1863455? 3 What is the tens digit of 393163? 6 What is the units digit of 620388? 8 What is the thousands digit of 660479? 0 What is the ten thousands digit of 3300960? 0 What is the units digit of 476335? 5 What is the tens digit of 5808628? 2 What is the tens digit of 284511? 1 What is the units digit of 19641516? 6 What is the ten thousands digit of 4942068? 4 What is the tens digit of 315752? 5 What is the hundred thousands digit of 1014602? 0 What is the ten thousands digit of 44915? 4 What is the tens digit of 3754730? 3 What is the thousands digit of 335661? 5 What is the ten thousands digit of 50149? 5 What is the ten thousands digit of 840812? 4 What is the ten thousands digit of 44451? 4 What is the thousands digit of 787204? 7 What is the hundred thousands digit of 12497945? 4 What is the ten millions digit of 11095403? 1 What is the tens digit
{ "pile_set_name": "DM Mathematics" }
tal of -736 and 5795. 5059 What is -3057 - 0.2? -3057.2 What is -56 + 37066? 37010 What is -1.056 less than -4? -2.944 Add -1291 and 0.2031. -1290.7969 What is the difference between 30 and -302? 332 Subtract -0.031 from -13.933. -13.902 What is 0.1702 + 0.025? 0.1952 -945 + -0.3 -945.3 Subtract 0.03 from -7140. -7140.03 Total of 2 and 0.2446024. 2.2446024 -20.6 - -0.39 -20.21 Add -3462 and -7. -3469 Work out -209.5 - -0.2709. -209.2291 Calculate -17 + 163. 146 What is the distance between 469 and -14? 483 Put together 2.47 and -40. -37.53 What is 0.0236 + 113? 113.0236 What is -0.21 + -903? -903.21 What is -31 plus -1.2? -32.2 -0.05 + -24.13 -24.18 What is the difference between 1.6 and -73? 74.6 Sum -3.99 and 152.2. 148.21 Work out -22 + -92.3. -114.3 Put together 1.68 and -0.08714. 1.59286 -635+-2026 -2661 Add together -0.01 and 256474. 256473.99 Calculate 0.03 + -0.0373. -0.0073 Work out 1.4 - 248. -246.6 What is -0.4 - -0.017226? -0.382774 What is 0.15 take away 74? -73.85 Total of 0.23 and 1447. 1447.23 What is the distance between 5 and 3819747? 3819742 -34.158+-30 -64.158 Sum 8.9 and 35. 43.9 Subtract -19 from -0.263. 18.737 Work out -0.1 + -188. -188.1 Work out -3 + -0.037. -3.037 Calculate -0.07 + -0.286. -0.356 Sum -0.657 and -113. -113.657 Put together 2 and -3582. -3580 Add together 1 and -291.97. -290.97 -115 - -4.4 -110.6 What is -7450.9 - 6? -7456.9 -350.1+335 -15.1 What is -5 less than -155? -150 5.4+-0.17 5.23 What is -0.051 - 0.045? -0.096 Sum 16 and 34.3. 50.3 Add together 27476 and 4. 27480 What is -130 + -1.2? -131.2 Work out -0.38 - -22738. 22737.62 0.2 + -502427 -502426.8 -13.030933 - 0.2 -13.230933 What is 119 - -2.4? 121.4 Work out 0.5 + -1303433. -1303432.5 What is -0.1 minus 51.69? -51.79 Add together -142184 and -0.1. -142184.1 What is 3 take away 2192? -2189 779.61+0 779.61 Calculate 0.085475 + -6. -5.914525 -352+0.37 -351.63 Calculate 141 - -6. 147 Subtract -1922 from -109.1. 1812.9 Work out -121 + 19. -102 Add 1.8283 and 18. 19.8283 -3406 - -10 -3396 42.4 - 636 -593.6 15161 - -8 15169 Add together 0.18 and -0.03. 0.15 Add 0.1 and -1306.19. -1306.09 What is 261 take away -0.5? 261.5 Calculate 0 - -6.47744. 6.47744 Add together 140 and 2000. 2140 What is 0.066 + 1.65? 1.716 What is 0.2 take away 4.096? -3.896 What is 13.1 less than -37789? -37802.1 What is 3933 less than 0.3? -3932.7 Sum -0.062 and 17. 16.938 -8.8+-220 -228.8 Calculate 1643 - 8.95. 1634.05 Work out -130 - -78. -52 Add together -13688 and 5. -13683 Add together -3825 and -0.04. -3825.04 Sum 0.08 and -1322. -1321.92 -943626 - 0.2 -943626.2 Work out 0.8 - 5.171. -4.371 Calculate 2.52 - -39. 41.52 What is -30136 minus 1? -30137 What is the distance between -98 and 0.29747? 98.29747 Sum 192 and 0.062. 192.062 Add together 11 and -117. -106 Calculate -745610 + -0.01. -745610.01 What is -5060 - -625? -4435 What is 11283.6 - 5? 11278.6 Add 5401 and 0.1. 5401.1 114+-123.49 -9.49 Add together 27 and -289. -262 Calculate -478 + -1. -479 What is 39 + -140? -101 422 - 0.027 421.973 Subtract -4 from -0.60045. 3.39955 Calculate -184.8 + 0.0226. -184.7774 -25.081+2 -23.081 What is -339 take away -222? -117 What is -0.04209 less than 0.4? 0.44209 Total of -0.4 and -1274. -1274.4 Work out -217829 + 4.2. -217824.8 What is 0.036 plus 1150? 1150.036 Calculate -0.07 - -2.342. 2.272 What is -73.2 - 0.3? -73.5 What is 29217 minus -0.09? 29217.09 Subtract 7436 from 0.04. -7435.96 What is the difference between 0.38 and 0.096? 0.284 What is the difference between 34915 and -77? 34992 What is 0.4 less than 92.73? 92.33 Calculate -0.19 + 0.0342. -0.1558 What is 12 take away -6.67? 18.67 Calculate 45.5 + -0.3. 45.2 What is -0.03 - 0.1103? -0.1403 What is 1608 less than 155? -1453 Subtract 541 from -0.271. -541.271 Add 7 and -350. -343 Sum 1.9 and 34. 35.9 Calculate 417 - 7. 410 What is -0.9 take away -0.3? -0.6 What is -3108.1 plus -4? -3112.1 Sum 0.3801 and 136. 136.3801 Add -16617 and 1. -16616 Add 0.81977 and -1. -0.18023 What is 0.26275 less than -35? -35.26275 Add together 996 and 605. 1601 What is 0.276 minus -0.02? 0.296 Work out -3559 + -1.27. -3560.27 What is 1830 less than -0.022? -1830.022 Add together 0.11627 and 134. 134.11627 Add 0.3975 and -0.207. 0.1905 Subtract 0.5 from -542554. -542554.5 -3 - 2301226 -2301229 Total of -1 and -8905. -8906 79 - 460 -381 Sum 1.08 and -3.084. -2.004 What is 0.5 less than 2994? 2993.5 Add together -2286242 and 3. -2286239 28353 - 9 28344 -492734 - -0.3 -492733.7 Calculate -1 - 540.423. -541.423 Subtract -0.032125 from 0.242. 0.274125 Subtract 16.32 from -86. -102.32 -3 - -11102.8 11099.8 52 + -18.2 33.8 Put together 3.7 and 0.027. 3.727 Put together -0.5 and -7761. -7761.5 Work out -0.08 - 195.21. -195.29 Sum -4 and 28787.6. 28783.6 -0.31 - -290 289.69 What is 162695 less than -0.2? -162695.2 What is 767 - 349? 418 Work out -2 + 6.26. 4.26 Put together 4.9 and -3.32. 1.58 What is 2 take away 0.18844? 1.81156 3+-1.89954 1.10046 Subtract 491 from -0.38. -491.38 What is 2 minus 0.0416? 1.9584 What is 1 plus 0.18? 1.18 56865 - -4 56869 What is the distance between 14 and -37663? 37677 Total of 29.21 and 5. 34.21 What is the distance between 24.523 and -4? 28.523 Put together -35 and -1166. -1201 Add -0.5 and -1497981. -1497981.5 What is -7685 less than 0.3? 7685.3 Sum -2946 and 0. -2946 Put together 23 and 1.3667. 24.3667 Add -0.3 and 522. 521.7 What is 7945 plus 0.33? 7945.33 What is -88.3 - 59? -147.3 Total of -3522 and -2. -3524 35242+-5 35237 2 + -2.3465 -0.3465 2219+24 2243 Add together 2 and -97.84. -95.84 Total of -5 and -128310. -128315 Sum -6140 and 0.2. -6139.8 Work out -205 + 0.2283. -204.7717 Put together 0.1 and -1075. -1074.9 What is 1.34 - -57? 58.34 Work out -237 + 0.0067. -236.9933 Calculate 0.4 + -1421306. -1421305.6 Total of -0.705 and 22.1. 21.395 Total of -0.44 and 5. 4.56 Subtract 82.44 from 5. -77.44 What is 168 less than -489.9? -657.9 Calculate 104 - 31. 73 Add together 1.08 and -0.35. 0.73 Add 4 and -59.23. -55.23 -0.1 - 497.615 -497.715 Calculate 3161 - -0.2. 3161.2 Subtract 0.2 from 1574. 1573.8 Total of 7806 and -13. 7793 What is the distance between 2 and -19171? 19173 Put together 0.4 and 261. 261.4 Sum 0.018 and -128. -127.982 Sum -0.196 and -2275. -2275.196 What is 16 plus 0.0361? 16.0361 Work out -2.32 - -0.08061. -2.23939 1939 - 8275 -6336 Add 5 and 665. 670 Work out -0.19 - 34.3. -34.49 Sum 0.02 and -1131. -1130.98 Calculate -0.91 + 3.7. 2.79 What is 8 plus 0.0466? 8.0466 Calculate -90341 - -6. -90335 What is the difference between -0.0626 and 3754? 3754.0626 Calculate 3 - 127014.5. -127011.5 What is the distance between -0.5 and 12.1102? 12.6102 Add 0.1830009 and 0.3. 0.4830009 Put together -74325 and -0.5. -74325.5 -129281 - -0.5 -129280.5 1847.5 + 7 1854.5 What is -0.0598 take away -0.04? -0.0198 Sum 27.99 and -3. 24.99 Subtract 0.0682 from 0.0289. -0.0393 0.0625 - 20 -19.9375 What is -404 + -82.07? -486.07 Calculate 5 - 1299. -1294 What is 1618 take away 0.6? 1617.4 What is -1679 + -3.2? -1682.2 Work out 2850 + 0.79. 2850.79 0 + -14979 -14979 What is -19 less than -230? -211 Sum 8571 and 0.4. 8571.4 What is -4645 plus 2? -4643 Work out -0.2 + -3960. -3960.2 Work out -20.1155 - -12. -8.1155 Total of -29 and -11. -40 Work out -0.68 - -101652. 101651.32 -565 - -9 -556 What is 2342.796 - 1? 2341.796 What is 0.4541 + -0.043? 0.4111 Calculate 7809 + 0.12. 7809.12 What is the difference between -1.025 and 3? 4.025 -2 + 93 91 Calculate 0.5 - 2418416. -2418415.5 What is 1 minus 5557? -5556 -35.2 - -2421 2385.8 What is -36.9 take away -2? -34.9 Sum -5 and 0.62009. -4.37991 What is -1842 minus -6.3? -1835.7 What is the difference between -2.8 and -317.2? 314.4 Put together 1.89 and -1.86. 0.03 What is -2603 take away 0.5? -2603.5 What is -0.1 - 0.652? -0.752 Calculate 11554 - 0.058. 11553.942 What is 6347 plus -0.06? 6346.94 What is 991 - 1? 990 Sum 0.04 and -478. -477.96 0.0447 + -0.1 -0.0553 Work out -137 + 13. -124 -0.1515+3 2.8485 What is -0.03378 plus 4? 3.96622 4 + 583 587 0.1 + 2.1444 2.2444 Subtract 0 from 1435.518. 1435.518 Work out -0.85 - -3. 2.15 Total of 2959 and 0.1. 2959.1 Work out -9 - 588. -597 -17.5+4 -13.5 Sum 18.4789 and -20. -1.5211 What is -749.5 plus -12? -761.5 Total of 814 an
{ "pile_set_name": "DM Mathematics" }
se Suppose 6*d = d + 55. Is d a prime number? True Suppose 21 + 19 = 5*o. Let l(u) = o*u - 25*u + 0*u**2 - 3 - 3*u**2 + 2*u**2. Is l(-7) composite? False Let z(d) = -4*d**3 + 3*d**2 + 4*d + 1. Let l be z(-5). Let b = 15 + -12. Suppose -b*r - r = -l. Is r prime? True Suppose -2*z - 24 = -6*z. Is 62/z + (-1)/3 a composite number? True Let t = 4 - 1. Suppose 0 = -t*q + q. Suppose -s + 3*l = -4*s + 66, q = l - 1. Is s a prime number? False Is ((-10)/6)/(8/(-168)) prime? False Let v = 8 - 3. Suppose 26 = v*s + 5*j - 314, 4*j = -3*s + 205. Is s a prime number? True Let t = 30 - -25. Let u = t - -16. Is u a prime number? True Let p be ((-6)/(-5))/((-2)/(-30)). Suppose -13 = 3*d + 4*v, 30 + 35 = -5*d + 2*v. Let j = d + p. Is j composite? False Let a = 2878 - 1185. Is a a prime number? True Let a(r) = -222*r + 1. Is a(-4) a prime number? False Let a(i) be the third derivative of i**5/30 + i**4/3 + 5*i**3/6 + 2*i**2. Is a(11) prime? False Let d = -682 + 1941. Is d a composite number? False Suppose -h + 185 = 2*f, 5*h = -3*f + 255 + 33. Let r be ((-8)/(-10))/(14/105). Let o = f - r. Is o a composite number? True Let i(o) = o**2 + 2*o - 2. Is i(-13) composite? True Let h be 1*-857 - (-4 - -1). Let y = -607 - h. Is y composite? True Suppose 12*x - 575 = 7*x. Is x a composite number? True Is (-2)/(-5) + 12897/45 a prime number? False Let z(v) = 172*v**2 + v - 16. Is z(3) prime? False Let q(w) = 439*w**2 + 2*w + 1. Let b be q(-2). Suppose -5*h = 543 - b. Suppose i = -23 + h. Is i a prime number? False Let h = -8 + 11. Suppose 5*v + 2*a - 807 = 0, -331 = -h*v + 2*a + 166. Is v a composite number? False Let h(n) = 11*n**2 - 6*n + 4. Is h(9) composite? True Let t = 492 + -335. Suppose 7*k - 5*k - 89 = 5*z, -4*k + t = -3*z. Is k a prime number? True Suppose -12*g + 7*g = -1255. Is g composite? False Let g = 117 - -10. Is g a composite number? False Suppose -502 = -3*f + f. Let i = -70 - f. Let m = -206 - i. Is m prime? False Let h(f) = 3*f**2 - 3*f - 7. Is h(6) prime? True Suppose 2*y - 26 = -0*y. Let b = -23 + y. Is 1552/10 - (-2)/b a prime number? False Let y = -886 - -1499. Is y prime? True Suppose 587 = 4*z - 825. Is z a composite number? False Let n(f) = 29*f. Let p be n(1). Suppose p = 3*x - 2*u, 11 + 49 = 5*x - u. Is x prime? True Let f(n) = 2*n - 14. Let r be f(10). Let j = 4 - 4. Suppose j = o - r*o + 75. Is o composite? True Let t(n) = n**2 + 11*n + 2. Let r be t(-11). Suppose 2*h + 0*s - 4*s = 166, -s = r*h - 176. Is h a composite number? True Suppose 5 + 15 = 5*m. Let z be 662/14 + m/(-14). Suppose 5*h = -z + 152. Is h composite? True Let k(i) = 2*i**2 + 11*i - 12. Is k(-13) composite? True Let z(j) = -22*j - 3. Let t(c) = 21*c + 2. Let i(o) = 3*t(o) + 2*z(o). Is i(3) a composite number? True Let j(x) = 2*x**2 - 3*x - 3. Let k be j(3). Is -74*3/k*-2 a prime number? False Let v be 1/(4/(-1 - -5)). Is (v*2536)/4 + 1 a prime number? False Let p = 55 + 419. Suppose -251 - p = -5*h. Is h prime? False Let r = 3 - 5. Is ((-4)/4)/(r/38) composite? False Let s(o) = -4*o**3 - 2*o**2 - 2*o. Let y be s(-2). Suppose 4*x - y = -0*x. Is x a prime number? True Let y(l) = 29*l**3 + 9*l**2 - 9*l + 9. Is y(4) composite? False Suppose q - 36 = 5*r - 130, -92 = -5*r + 3*q. Is r composite? False Let v = -1149 + 1663. Is v composite? True Let t(g) = 13*g + 5. Is t(12) composite? True Suppose v + 195 = -114. Is -4*(v/12 + 0) composite? False Let l be (-1 + 0)/((-3)/(-6)). Let o(c) = c**3 + 3*c**2 - 4*c - 3. Is o(l) a composite number? True Suppose -2*x - 3 = 5. Let k be (-24)/6*(-2)/x. Is -2 + 0 + 73 + k a composite number? True Let l(q) = 18*q - 2*q + 21*q - 4*q - 1. Is l(4) a prime number? True Suppose 140 = -0*o - 4*o. Is (0 - o - 0) + 2 a prime number? True Suppose 3*b - 151 = 122. Let n be b + 2 - 0/2. Suppose -4*p = 5*d - n, 5*d + p - 65 = 37. Is d a prime number? False Let n(m) = 136*m + 3. Is n(5) a composite number? False Suppose 0 = -5*r + 52 + 3. Suppose -2 = -f + r. Is f a composite number? False Suppose h + 59 = 2*h. Suppose 3*t - 4*t = -h. Is t a prime number? True Suppose 2*g - 6*g = 0. Let q be (g + -1)*2*-107. Suppose i - 2*l = 5*i - q, 0 = -5*i - l + 266. Is i a composite number? False Let m = -241 + 584. Suppose 0 = r - m - 546. Is r a composite number? True Suppose -3*t = -t - 4*y - 10, 4*t + 4*y - 68 = 0. Is t prime? True Is ((-717)/15)/(1/(-5)) composite? False Let w = 11 + -8. Suppose 0 = -5*m + 25, -4*o + 0*m - 3*m + 711 = 0. Suppose -w*p + o = -p. Is p composite? True Let p(w) = 8*w**3 + 6*w - 10. Is p(4) a prime number? False Let n(k) = -k**2 - 7*k + 1. Suppose 50 = 5*t + 5*q, 3*t + 18 = -4*q + 53. Suppose -w = -5*i - 7, -t*w + 6*i = i + 5. Is n(w) prime? True Let c = 8 + -5. Suppose 598 = -i + c*i. Suppose -3*g + 4*w = -i, -380 = -2*g - 2*g - 4*w. Is g a composite number? False Let b(i) be the first derivative of i**4/4 + i**3/3 + i**2/2 + 34*i - 3. Is b(0) a prime number? False Let d be (42/(-12))/(1/(-94)). Let z = d + -34. Is z a composite number? True Let i(r) = r - 4. Let d be i(7). Suppose 3*n + d = -5*q, -2*n - 2*n = -4*q - 28. Let f(z) = z**2 - 2*z - 1. Is f(n) a prime number? True Let z(s) = -s + 4. Let l be z(4). Suppose l*t = 2*t. Suppose -4*h + h + 45 = t. Is h prime? False Let m = -39 + 166. Is m composite? False Suppose 0 = -z + 1 - 2. Suppose 0 = -3*n + g, -4*g = -4*n + 2 + 6. Is (6 - 0) + z/n a composite number? False Let q be -41 + 0 + (0 - 0). Let x = 19 + q. Let j = 9 - x. Is j composite? False Is (14/8)/(3 - 42136/14048) composite? True Suppose -2*o + 2*m = 571 - 1927, -5*m - 682 = -o. Is o a prime number? True Suppose 5 + 7 = 4*b - 3*u, -4*b = u - 12. Suppose -n - b*n = 5*t - 279, -2*n = -3*t - 145. Let r = n + -50. Is r prime? False Let k(p) be the third derivative of 1/2*p**3 - 1/60*p**5 + p**2 + 0 + 1/8*p**4 + 0*p. Is k(3) composite? False Let u = 0 - 0. Suppose u*h + 2*h = 118. Is h a composite number? False Let x be (-6)/(-9)*18*-3. Let y = x - -134. Suppose -4*w - g + 256 + y = 0, 3*g - 83 = -w. Is w composite? False Is (50/(-4) + 1)/(29/(-638)) composite? True Is -1*-1126*4/8 a composite number? False Let c(n) = 6*n - 5*n**2 - n**2 + n**2 + 3 + 0*n**2 + n**3. Let w be c(5). Suppose -2*f = -499 + w. Is f prime? True Is 1/(-6)*-3*130 composite? True Suppose -1011 = 3*t - 2877. Suppose j + 1174 = 5*x, -5*x = -4*j + t - 1793. Is x prime? False Suppose 0 = -5*c + 5*n + 1 + 9, -3*c + 4 = -5*n. Suppose -300 - 687 = -c*u. Is u composite? True Let a be 50/(-15)*6/2. Is (-2126)/a + 20/50 a composite number? True Suppose -6*f + 6349 = f. Is f a composite number? False Let o(d) = d**3 + 7*d**2 + 16*d - 4. Is o(7) a composite number? True Let p be 3 + -6 - -1 - -669. Let n = 1048 - p. Is n a composite number? True Let c be (1/2)/((-5)/(-410)). Suppose c + 27 = 2*j. Is j composite? True Suppose 0 = -y - 2*z + 8 + 12, 4*y - z = 44. Is 106/2 - (y + -14) a composite number? True Let b(v) = 3*v**2 + 16. Is b(7) prime? True Suppose -11*f = -13*f + 614. Is f a prime number? True Suppose 4*k = -5*t - 12, 3*t + 0*t + 14 = k. Is 2/t*0 + 251 a composite number? False Let y(l) = -140*l + 3. Let r be y(-4). Suppose -4*k + j + j = -744, -3*k = j - r. Is k prime? False Let y = 862 + -489. Is y a prime number? True Let m = 2 + 1. Let s(b) = 3*b**3 - 4. Let t be s(m). Suppose -2*g + 58 = 2*f + 18, -t = -4*g - 5*f. Is g prime? True Let m(r) = 39*r**2 + 3*r. Let d be m(-3). Let o = d - 209. Is o composite? True Let m(k) = 9*k**2 + 3*k + 7. Suppose -10 = 3*i - i. Is m(i) a composite number? True Suppose -5*q - j = -32, -q + 4*j - 20 = -3*q. Let i(d) = -3*d - 2*d**2 - 8 + q + 4*d**3 - 5*d**3. Is i(-2) a composite number? True Is 2376/3 - (2 - 1) a prime number? False Suppose 3*r - r = -4*v + 502, 0 = v + r - 124. Is v prime? True Let i(t) = -6*t - 1. Let l be -3 + (0 - -3)/(-3). Let n be i(l). Suppose 5*y - 12 = n. Is y prime? True Is ((-41)/2)/(2/(-28)) prime? False Let v be 0/(-1 + -1 - -1). Suppose 3*u + v*u + 3*g = 1755, u = -4*g + 591. Is u prime? False Suppose 71*i = 74*i - 3849. Is i prime? True Let m(c) = 11*c**2 + 3*c - 1. Let y be (3/(-3))/1 + -2. Is m(y) composite? False Let r(o) = 2*o - 7. Let i be r(-7). Let l = i - -35. Is l a composite number? True Let y = -561 - -1088. Is y a prime number? False Is 4862/14 + 8/(-28) a composite numb
{ "pile_set_name": "DM Mathematics" }
5 + 20 = -y + 5*d. Let h(x) = x**2 - 2*x**2 - 82 + y*x**2 + 8*x + 80. Determine h(7). 5 Let u = -42 + 28. Let c = 9 + u. Let a(q) be the third derivative of q**6/120 + q**5/10 + 5*q**4/24 + 5*q**3/6 - 2*q**2. Determine a(c). 5 Let n(x) = -2*x**2 + 11*x. Suppose -3*h + 9 = 2*r, 29 = -2*r + 6*r - 5*h. What is n(r)? -6 Suppose 0 = -7*d + 9*d - 1310. Let i(x) = -x**2 - d - x + 654 - x. What is i(-1)? 0 Let n(f) be the third derivative of f**5/30 + f**4/4 - 2*f**3/3 - 3*f**2. Determine n(-3). -4 Let q(j) = -14*j + 20. Let a(o) = 17*o - 22. Let n(d) = -3*a(d) - 4*q(d). What is n(5)? 11 Suppose -3*n + 8*n - 25 = 0. Let k(u) = -u**3 + 6*u**2 - 7*u + 6. Let c be k(n). Let j(s) = -s. Let a(d) = -3*d. Let p(h) = a(h) - 2*j(h). What is p(c)? 4 Suppose 91 = -3*g + 16*g. Let m(x) = -x**2 + 11*x - 8. Determine m(g). 20 Let o(y) = -13*y - 59. Let r be o(-4). Let b(q) = -2 + 5 - q - 4. Determine b(r). 6 Let z(h) = 4 - 3 - h - 6 + 3. Suppose 12*d - 13*d + 3 = 0. Suppose -4*f + d*s - 5*s = 6, 2*f + 13 = s. Give z(f). 2 Let m(h) = -5*h + 337 + 339 - 1019 + 342. Let i be -3*(16/3)/(-4). Suppose -z = -4*c + 3 + 3, -4*z - i*c = 4. Calculate m(z). 9 Let a(n) = -252*n + 1255. Let i be a(5). Let z(l) = 13*l + 11. Let p(v) = v + 1. Let w(k) = 22*p(k) - 2*z(k). What is w(i)? 20 Suppose -g - 3*g + 8 = 0. Let f(b) = -g*b + 0*b + 3*b. Let o be -16 + 31 - 24/2. Give f(o). 3 Suppose o - 5 - 3 = c, 0 = -5*o - 3*c + 8. Let d(b) = b**2 - b - 5. Determine d(o). 7 Let c(x) = x**3 - 6*x**2 - 4*x - 3. Let q be c(7). Let w = q - 15. Let u(i) = -5*i**3 + 12*i**3 + 0*i**2 + i**2 - 1 + 4*i**w. What is u(1)? 11 Suppose 19 = -14*h - 79. Let n(g) = g**2 + 5*g - 2. What is n(h)? 12 Let j = 17 + -17. Suppose 3*q + 0 + 3 = j. Let s(v) = 4*v**3 + 1. Let r(m) = -m**3 - m**2. Let a(z) = -r(z) - s(z). Give a(q). 3 Let j(o) be the first derivative of o**3/3 + 3*o**2 + 3*o - 18. Let h = -2 + 11. Let p be 2*(-6)/h*3. What is j(p)? -5 Let t be -2 - 8/(-3)*15/10. Let c be 26/(-39)*3/t. Let a(m) be the first derivative of 3*m**4/4 + 2*m**3/3 + m**2 + m - 1. Determine a(c). -2 Let u(d) = -3*d + 3. Let x = 34 - 31. Let i be ((-6)/x + 4)*(0 - -1). Determine u(i). -3 Suppose 2*t + 1 = 5. Let y(u) = u + t + 2*u - 5*u. Suppose 8 - 50 = -5*h - 2*f, 12 = h + f. Give y(h). -10 Let h = 1776 - 1775. Let x(q) = -2*q**2 + 0 + q**2 - 1 + 0. Give x(h). -2 Let x(n) = 1 + n - 8*n + 7*n - n. What is x(9)? -8 Suppose 17*f - 12*f - 30 = 0. Let z(r) = -r - 1. Give z(f). -7 Let q(h) be the first derivative of h**3/3 + h**2/2 + 2*h + 1. Let i(l) = l**2 - 6*l - 8. Let r be i(9). Suppose 15*f - r*f = 0. Calculate q(f). 2 Let a = 2983 + -2965. Let j(r) = 3*r - 52. Give j(a). 2 Let l(i) = -i - 7. Let q = 4 + -3. Let d(n) = -n - 1. Let r(z) = q*l(z) - 2*d(z). Let s = -438 + 445. What is r(s)? 2 Let b(r) = -11 + 5*r**2 - r**2 + 15 + 3*r - 3*r**2. Calculate b(-6). 22 Let x(q) be the third derivative of q**5/60 + q**4/4 - 7*q**3/6 - q**2 - 2*q. Give x(-7). 0 Let x(y) = -y**3 + 7*y**2 - 5*y + 4. Let k(a) = 6*a - 156. Let d be k(27). Calculate x(d). 10 Let s be 112/49 - (-4)/(-14). Suppose s*c = c - 4. Let v(u) = -7 - 15*u + 28*u - 14*u. What is v(c)? -3 Let v(o) be the second derivative of o**3/3 + 17*o**2/2 + 316*o. Determine v(-8). 1 Let f(c) = -c**2 - 5*c - 3. Let q be f(-3). Suppose 11 + 1 = -q*b. Let h be -4 + (0 - b) + -3. Let m(w) = -w**3 - 4*w**2 - 3*w. Calculate m(h). 0 Let u = 29 + -27. Let b(k) = 2. Let t(f) = -f**2 - 2. Let w(x) = u*b(x) + 2*t(x). Give w(1). -2 Suppose 0 = k - 4*i - 21, -3*i + 2 = 2*k + 15. Let j be ((-1)/4*k)/(2/8). Let l(p) = -11*p**2 + p + 1. Determine l(j). -11 Let s(h) be the second derivative of 2*h**5/5 - h**4/6 + h**3/3 - h**2/2 - 279*h. What is s(1)? 7 Let k be (38/247)/((-2)/(-13)). Let t(m) = -7*m. Calculate t(k). -7 Let y(a) = 37*a**3 - 30*a**2 + 3*a - 2. Let w be y(1). Let b(r) be the second derivative of r**4/12 - 4*r**3/3 + 2*r**2 - r. What is b(w)? 4 Suppose -13*g = g. Let s(a) = a**2 + a + 6. What is s(g)? 6 Let c(o) = o**2 + 3*o - 3. Suppose -3*a + a - 8 = 0. Determine c(a). 1 Let s(u) be the third derivative of 1/24*u**4 + 0*u - 5*u**2 - 1/60*u**5 - 2/3*u**3 + 1. Calculate s(0). -4 Let h = 948 - 942. Let a(y) = 2*y - 15. Let j(c) = c - 7. Let r(d) = 2*a(d) - 5*j(d). Give r(h). -1 Let c = -12 + 15. Let j be (0 - 0)/(-6 + c). Let t(k) = j*k + 1 + 3 - 7*k + 6*k. What is t(0)? 4 Let h = 281 + -285. Let o(b) = b**3 + 2*b**2 - 2*b - 6. What is o(h)? -30 Let z(n) = 10*n**3 + n**2. Suppose -2*f - 12 = j, 0*j + 4*j - f + 3 = 0. Let q = -7 + j. Let u = -8 - q. Give z(u). 11 Let a(l) = -l**3 - 4*l**2 + 6*l - 5. Suppose 2*b = 12*b + 70. Let y(w) = -w**3 - 7*w**2 + 4*w + 23. Let s be y(b). What is a(s)? -10 Let k be (-3)/(6 + -9) + 2. Let y(m) = m**2 + m - 1. What is y(k)? 11 Suppose 0 = 91*k - 100*k + 54. Let q(j) = j - 10. Let b(r) = 2*r - 19. Let o(y) = -6*b(y) + 11*q(y). Give o(k). -2 Let r(q) be the second derivative of -q**5/20 + 5*q**4/12 + 2*q**3/3 + 5*q**2/2 - 14*q + 15. What is r(6)? -7 Let h = 0 + 1. Let s(p) = -1059*p**2 + 2*p**3 - 7*p**3 + 1058*p**2. Determine s(h). -6 Let x(j) = -j**3 - 11*j**2 - 4*j - 3. Let z(h) = -h**3 - 10*h**2 - 5*h - 2. Let q be 6*(-1)/(-3) - 4. Let y(n) = q*x(n) + 3*z(n). Calculate y(-7). 0 Let d(r) = -r**2 + 13*r - 20. Let k be (72/180)/(2/60). What is d(k)? -8 Let z(h) be the first derivative of 11*h**4/4 - h**3/3 + 3*h**2/2 - h - 32. Calculate z(1). 12 Let s(f) = -2*f**3 + f**2 - 5*f - 3. Suppose 2*w + 2 = -6. Let i = -15 + 14. Let k(t) = -t**2 + t + 1. Let x(d) = i*s(d) + w*k(d). What is x(-2)? -7 Let p(b) = -b - 11. Suppose 4*a - 184 = -184. Give p(a). -11 Suppose -b + 3*b = -3*x + 12, x = 0. Let f(c) = c + b - 2*c + 0*c. Let p(g) = g**2 + 28*g - 24. Let q be p(-29). Determine f(q). 1 Let r be (3 + -3 - 1) + -2. Let v(s) = s**2 + 2*s - 1. Let f be v(r). Let q(l) = 3 + 3*l**2 + 4*l**2 - 5 - 6*l**f. What is q(0)? -2 Let l be (8/10)/(6/15). Suppose -5*j + l = -3*j. Let z(f) be the third derivative of f**5/15 - f**4/12 + f**3/6 + 9*f**2 + f. Determine z(j). 3 Let d be 361/38 + 3/2. Let v(q) = q**3 - 12*q**2 + 10*q + 16. Give v(d). 5 Let l = 12 + -10. Let y(f) = 7*f**l + 3*f + f**3 + 5*f**2 + 9*f**2 + 1 - 17*f**2. Let k be (1 - 0) + (-5 - -1). What is y(k)? 1 Let m(u) be the second derivative of u**3/3 - u**2 + 4*u. Let b(s) = -s**3 - s**2 - s - 7. Let t be b(0). Let o = -10 - t. What is m(o)? -8 Suppose 3*y = -m - 2*m - 3, y = -5*m - 21. Let u(z) = y + 0*z + 1 - 2*z. Determine u(4). -3 Let u(v) be the first derivative of -1 - 1/2*v**2 + 3*v. Suppose q + 4*i - 13 = -0*i, 2*q + i = 12. Give u(q). -2 Let l(u) = -u - 4. Suppose 2 + 12 = -2*b. Let z be l(b). Let t(f) = -4*f - 2*f - f**2 - z - 1. Give t(-5). 1 Let j = -301 + 306. Let h(n) be the third derivative of -2*n**2 + 0*n + 1/12*n**4 + 1/30*n**j - 2/3*n**3 + 0. What is h(-3)? 8 Let j(d) = 2*d - 6*d - 5 - d - d**3 - 3*d**2 - 2*d**2. Give j(-4). -1 Suppose 4*z - c = -4, -15 + 1 = z + 3*c. Let b(q) be the second derivative of q**6/240 - q**4 + 6*q. Let o(a) be the third derivative of b(a). What is o(z)? -6 Let u(f) = -20*f + 41. Let o(l) = -10*l + 11. Let x(j) = -19*j + 23. Let z(r) = -5*o(r) + 3*x(r). Let m(y) = 6*u(y) - 17*z(y). Determine m(0). 8 Suppose 2*z + 6 = 18. Let g(y) = y**3 - 5*y**2 - 3*y - 11. Let p be g(z). Let n(v) = v - 10. Determine n(p). -3 Let n(l) = 2*l - 2. Let x = -812 + 804. What is n(x)? -18 Let k(o) = -o**2 + 3*o + 2. Let m(y) = -y**3 - 12*y**2 - 11*y + 8. Let b be m(-11). Let w = 20 - 16. Suppose -b*u + w*u = -12. Give k(u). 2 Let p(s) = -3*s**2 + 30*s**3 + 3*s - 67*s**3 - 1 + 36*s**3. Suppose 0 = 3*x - x. Suppose -4*j - b - 10 = 0, -j + x = -b + 5. Calculate p(j). -10 Suppose -5*x = 4*s - 2, -2*s - 4 = 4*x - 8. Let t(f) = -5*f + 14. Calculate t(x). 4 Suppose -10*g + 21*g + 66 = 0. Let d(n) = -n**2 - 9*n - 26. Give d(g). -8 Let h(j) = 4*j - 59. Suppose -49*r + 153 = -533. What is h(r)? -3 Let w(q) = -4*q + 19. Let i(o) = 3*o - 13. Let h(p) = -3*i(p) - 2*w(p). What is h(-5)? 6 Let n(z) = 3*z + 8. Suppose 37*v - 7 = 30*v. Let b be v - 0 - 49/7. Determine n(b). -10 Let p(l) = -5*l - 380. Let k be p(-75). Let y be (6/4)/(6/16). Let g(f) = -f**3 - 2 + 0*f**2 - 5*f**2 - y*f + 0. What is g(k)? 18 Let y(l) be the third derivative of 0*l + 8*l**2 - 1/6*l**4 + 1/120*l**6 - l**3 - 1/12*l**5 +
{ "pile_set_name": "DM Mathematics" }
- 4*g = 27. Let f(m) = -7*m**2 + 9*m + 5. Let s(v) = -3*v**2 + 4*v + 2. Calculate q*s(h) + 2*f(h). h**2 - 2*h Let z(o) = -4*o**3 + 5*o**2 + 3*o. Let n(x) = -3329*x**3 - 2 + 2 - 6*x**2 + 3*x + 3334*x**3 - 6*x. Calculate -5*n(h) - 6*z(h). -h**3 - 3*h Suppose -k - y = -2*y - 12, 0 = 5*k + 2*y - 46. Let v(z) = z**2 + z. Let w(j) = -3*j**2 - 2*j. What is k*v(m) + 5*w(m)? -5*m**2 Let d(c) = -c**3 - c - 1. Let w(z) = -61 + 16*z + 64 + 4*z**3 - 4*z**2 - 12*z - 2*z**3. Calculate -3*d(h) - w(h). h**3 + 4*h**2 - h Let s(d) = d + 2. Let y(f) = 4*f**2 - 4*f - 7. Let i(t) = -2*s(t) - y(t). Let h(p) = 3*p**2 - p - 2. Calculate 3*h(m) + 2*i(m). m**2 + m Let o(b) = -9*b**2 - 190*b + 57*b + 69*b + 64*b. Let d(t) be the first derivative of t**3/3 - 1. What is 24*d(f) + 3*o(f)? -3*f**2 Let n(d) be the first derivative of d**2 - d + 283. Let m(i) = -2*i + 1. Calculate -5*m(t) - 6*n(t). -2*t + 1 Let u(v) = -6*v**3 + 3*v**2 - 2*v + 3. Let b be -4 + (-7 + 16 - 6). Let y(j) = j**3 - j**2 - 1. Determine b*u(x) - 3*y(x). 3*x**3 + 2*x Let d(b) = -b**3 + 64*b**2 - 2*b + 2. Let f(r) = -65*r**2 + 3*r - 3. What is 6*d(m) + 4*f(m)? -6*m**3 + 124*m**2 Suppose -17*p = -18*p + 79. Let b = p + -74. Let n(x) = x**3 - 5*x**2 - 7*x + 2. Let a(o) = o**3 - 4*o**2 - 6*o + 2. Give b*a(v) - 4*n(v). v**3 - 2*v + 2 Let g(l) = -5*l. Suppose 20 + 65 = 5*u. Let n(y) = -106 + 106 - 14*y. Calculate u*g(a) - 6*n(a). -a Let w(s) = 7*s - 3. Let j = -62 - -63. Suppose -3*z + 3 = 2*n - j, -4*z + 4 = 2*n. Let m(r) = -3*r + 1. Determine n*w(t) + 5*m(t). -t - 1 Let v(g) = -17*g - 7. Let k = -2108 - -2102. Let p(f) = -9*f - 4. Let h(l) = -3*l - 4. Let j be h(-5). Determine j*p(o) + k*v(o). 3*o - 2 Let s(t) = 25*t**3 - 7*t**2 + 11*t - 33. Let q(f) = -13*f**3 + 3*f**2 - 6*f + 18. Calculate -11*q(k) - 6*s(k). -7*k**3 + 9*k**2 Let d = -2 - -3. Let z be 0 + (-1 + -1)/(-1). Let s(v) be the first derivative of 3*v**2/2 + v - 1135. Let k(i) = -i - 1. Give d*s(g) + z*k(g). g - 1 Let n(w) = 12*w - 1. Let k(z) = 35*z - 6. Let i be k(0). Let m(x) = 12*x - 1. What is i*m(u) + 5*n(u)? -12*u + 1 Let p(n) = -6*n**3 - 3*n**2 - 3. Let o(h) = h**3 + h**2 + 1. Let l = 687 - 684. Give l*p(x) + 9*o(x). -9*x**3 Let x(l) = -l - 1. Let c(p) = -2*p. Let r(a) = -2*c(a) + 2*x(a). Let n be (-33)/(-9) + 1/3. Let d(t) = 2*t - n*t + 27 - 25. Calculate 3*d(u) + 2*r(u). -2*u + 2 Let j(p) = -25. Let l(m) = -m - 27. Determine 3*j(z) - 2*l(z). 2*z - 21 Let q(s) = 413*s - 9. Let u(a) = -827*a + 15. Calculate -5*q(h) - 3*u(h). 416*h Let f(z) be the first derivative of -2*z**3/3 + 3*z**2 + 6*z - 82. Let p(x) = -x - 1. Determine -2*f(y) - 14*p(y). 4*y**2 + 2*y + 2 Let r(q) = -q**2 + 11*q + 8. Let y(s) = 3*s - 3. Let o be y(3). Let l be 1 - (-8)/(-6) - (-20)/o. Let h(g) = -4*g - 3. Give l*r(k) + 8*h(k). -3*k**2 + k Let a(y) = -y**2 + 1. Let p(k) be the third derivative of k**5/10 - 7*k**3/6 + 88*k**2. Give -35*a(f) - 5*p(f). 5*f**2 Let n be -25*-7*11/(-385). Let y(p) = -2*p - 7. Let o(l) = l + 6. Calculate n*y(h) - 6*o(h). 4*h - 1 Let c(x) = -10*x. Let k(o) = 1. Let h be 8/6*222/148. Calculate h*k(t) + c(t). -10*t + 2 Let i(q) = q + 2. Let p(r) = -r + 25. Let x be p(-11). Let o = -27 + x. Let h(z) = -5*z - 9. Give o*i(c) + 2*h(c). -c Let s(y) = -31*y + 13. Let n(w) = -w**2 - 35*w - 202. Let r be n(-7). Let i(o) = 16*o - 7. Determine r*s(u) - 11*i(u). 10*u - 1 Let d(n) = 4*n. Let k be 3*(4 + -3)/(-7 + 8). Let f(b) be the first derivative of 6*b**2 - 1. Calculate k*f(t) - 10*d(t). -4*t Let s(f) = 2*f**3 + 16*f - 88. Let n(i) = 3*i. Determine 6*n(q) - s(q). -2*q**3 + 2*q + 88 Let x(z) = -6*z**3 - 3*z + 3. Let o(b) = -5*b**3 - 409 + 0*b - 2*b + 411. Calculate 3*o(n) - 2*x(n). -3*n**3 Let l(y) = -3*y**3 + 5*y**2 - 3*y. Let u(q) be the first derivative of -q**4/4 + q**3/3 + q**2/2 - 564. Give l(s) - 5*u(s). 2*s**3 - 8*s Let d(v) = -2*v**3 + v**2 + v - 1. Let n(w) = -10*w**3 + 4*w**2 + 4*w - 75. Give 4*d(u) - n(u). 2*u**3 + 71 Let o(i) = -3*i - 1. Let j(p) be the first derivative of p + 1. Let f(k) = j(k) - o(k). Let m(a) = -a. Suppose d = -0*d - 1. What is d*m(s) - f(s)? -2*s - 2 Suppose 4*g = -0 + 4. Let w(b) = -b. Let f(x) be the first derivative of 1/2*x**2 - 29 + x. Determine g*w(y) + 2*f(y). y + 2 Let g(w) be the third derivative of w**4/24 - w**2. Suppose 4*p - 15 = -h, -5*h = -3*p + 2 + 15. Let a(b) = -3 - 2*b + 1 + 0. Determine h*g(c) - a(c). c + 2 Let t(u) = -6*u**2 - 3*u + 7. Let n(z) = 15*z**2 + 5*z - 15. Give 3*n(y) + 5*t(y). 15*y**2 - 10 Let j(q) = -102*q - 190. Let l(n) = 34*n + 68. Let b(g) = -5*j(g) - 14*l(g). Let x(r) = -17*r + 1. Calculate 6*b(s) + 13*x(s). -17*s + 1 Let b(i) be the first derivative of -i**2/2 + 2. Let v(m) = -2. Suppose 2*g - 3*h = 17, -4*g - 9 = 2*h - 3. Suppose -3*x = -2 - g. What is x*v(o) - 2*b(o)? 2*o - 2 Let w(n) = -2*n + 86. Let q(t) = 2*t - 43. Calculate -5*q(h) - 3*w(h). -4*h - 43 Let x(n) = 2*n**3 + n**2. Let j(f) = 3*f**3 + 4*f**2 + f - 34. Calculate -j(g) + 3*x(g). 3*g**3 - g**2 - g + 34 Let f(u) = -24*u**2 + 3*u + 3. Let q(m) = 455*m**2 - 56*m - 56. What is -56*f(s) - 3*q(s)? -21*s**2 Let h(v) = 8*v - 10. Let y(f) = -9*f + 9. Calculate 5*h(x) + 6*y(x). -14*x + 4 Suppose 0 = -15*m + 225 - 315. Let g(f) = f + 5. Let b(a) = 1. Calculate m*b(q) + g(q). q - 1 Suppose 1 = -c + i, 3*c - 8*c - 4*i = -40. Let f(t) = -6*t**2 - 4. Let k(n) = 6*n**2 + 5. Give c*k(j) + 5*f(j). -6*j**2 Let b(k) = 19*k**3 - k**2 - 5*k. Let m(d) = -d**3 - 31*d**2 + 5*d + 158. Let a be m(-31). Let r(l) = 10*l**3 - l**2 - 3*l. What is a*b(x) - 5*r(x)? 7*x**3 + 2*x**2 Suppose -3212*n + 3201*n = -33. Let l(k) = 4*k**3 + 5*k**2 - k - 3. Let q(p) = 8*p**3 + 9*p**2 - 2*p - 5. Determine n*q(f) - 5*l(f). 4*f**3 + 2*f**2 - f Suppose 2 = -2*z - 6. Let k = 9 + z. Let c(l) = -l + 2. Let t(a) = 23 + 3*a - 31 + 3. Give k*c(o) + 2*t(o). o Let x(d) = 41*d + 164. Let o(s) = s + 2. What is 82*o(f) - x(f)? 41*f Let d(r) = 3*r - 4. Let w(s) = -7*s. Let m(c) = -20*c - 1. Let k(z) = m(z) - 3*w(z). What is 3*d(y) - 12*k(y)? -3*y Let s(v) = -719*v**2 + 39*v - 13. Let o(r) = 359*r**2 - 18*r + 6. Calculate -13*o(y) - 6*s(y). -353*y**2 Let n(z) = 3*z**3 + 2*z**2 - 402*z + 2. Let q(r) = 10*r**3 + 7*r**2 - 1211*r + 7. What is -7*n(w) + 2*q(w)? -w**3 + 392*w Let l = -3450 - -3467. Let b(t) be the third derivative of t**4/6 - 2*t**3/3 + t**2. Let i(x) = -12*x + 11. What is l*b(g) + 6*i(g)? -4*g - 2 Let x(i) = -2*i**3 - 2*i**2 - 2*i + 3. Let z(u) = -u**2 - u + 1. Suppose -6*t - 10 = -t. Let k = t + 4. Give k*z(a) - x(a). 2*a**3 - 1 Suppose -12*d + 56*d - 88 = 0. Let o(i) = -9*i + 2. Let k(p) = 242*p - 55. Calculate d*k(j) + 55*o(j). -11*j Let q(y) = 9*y - 26. Let f(m) = 5*m - 12. Determine -13*f(s) + 6*q(s). -11*s Let a(c) = 2*c**3 - 8*c + 2. Let m(s) = s**3 - 7*s + 3. What is -3*a(k) + 2*m(k)? -4*k**3 + 10*k Let p(f) be the first derivative of -4/3*f**3 + 0*f - 3/2*f**2 + 11. Let w(y) = -15*y**2 - 11*y. Determine -22*p(v) + 6*w(v). -2*v**2 Let c(p) = -361*p**3 + 19*p**2 + 38. Let s(f) = -60*f**3 + 3*f**2 + 6. Determine 6*c(n) - 38*s(n). 114*n**3 Suppose -5*r - 4 - 31 = 0. Let b(f) = -f. Let n(d) = 2*d + 1. What is r*b(p) - 4*n(p)? -p - 4 Let t(v) = 3. Suppose 4*q - 40 = 4*w, 3*q = -2*q - 3*w + 26. Let y(l) be the second derivative of -l**3/6 - 7*l**2/2 - 14*l. What is q*t(g) + 3*y(g)? -3*g Let z(f) = -f**2 + f. Suppose 20*t = 7*t - 78. Let j(i) = 13*i**2 - 8*i. Give t*z(c) - j(c). -7*c**2 + 2*c Let m(n) = -5*n - 8. Suppose -3*z + 45 = -5*r, 2*r + z - 23 = 5*r. Let b(s) = -5*s - 7. What is r*b(t) + 5*m(t)? 5*t + 2 Let v(y) = -34*y**3 + 7*y**2 + 4*y - 2. Let q(o) = -11*o**3 + 2*o**2 + o. Determine 7*q(c) - 2*v(c). -9*c**3 - c + 4 Let t(d) = -4*d - 14. Let v(b) be the first derivative of -b**2/2 - 5*b + 422. Calculate -3*t(g) + 8*v(g). 4*g + 2 Let z(k) = -6*k. Let n(v) = 3*v - v - v. Let l be 69*3*(-2)/(-18). Let q = l - 32. What is q*n(j) - z(j)? -3*j Let x(v) = -13*v**2 + 8*v - 3. Let f(j) = 28*j**2 - 18*j + 7. Let y(z) = -3*f(z) - 7*x(z). Let a(d) = -21*d**2 + 7*d. What is 4*a(m) + 14*y(m)? 14*m**2 Suppose 0*s + 14 = s + 2*k, -5*k + 37 = 3*s. Let w(z) = 2*z**2 + 15*z - 4. Let x(n) = n**2 + 8*n - 2. Determine s*w(g) - 7*x(g). g**2 + 4*g - 2 Let r(x) be the first derivative of -3*x**4/2 + 3*x**2/2 - 66. Let q(a) = 11*a**3 - 5*a. What is -3*q(m) - 5*r(m)? -3*m**3
{ "pile_set_name": "DM Mathematics" }
losest to 0.2? (a) z (b) -2/3 (c) h c Let m = 8.4 + 46.6. Let c = m - 56. What is the nearest to c in 2/3, -2/3, 0.1? -2/3 Let t = -66.5 + 66.6. Which is the closest to t? (a) 0.21 (b) -2 (c) 0.1 (d) -4/5 c Let n = -35 - -55. Let p be 4/2*(-35)/(-14). Suppose x = 6*x + 2*t - n, p*t = 25. Which is the nearest to -1? (a) -3/8 (b) x (c) 1/4 a Let d = 923/21 - 131/3. Let f be 0 + -1 + (-24)/(-20). What is the closest to 1 in -2/9, f, d? d Let s = -1/47 - 44/141. Which is the nearest to s? (a) 1/11 (b) -2 (c) -1/6 c Let k = -15.79 + 15. Let z = -0.39 - k. What is the closest to 0.1 in z, 0.1, -6? 0.1 Let f be 5/(4/(-1) + (-38)/(-12)). What is the nearest to 1 in 0.3, -1/6, f, 5? 0.3 Let n = -4 + 4.01. Suppose -5 = 64*l - 65*l. Which is the nearest to -2/11? (a) 2/3 (b) l (c) n c Let x = -10.3 - -10. Let n = x - -0.2. Which is the closest to -1/3? (a) -2/15 (b) n (c) -5 a Let w = -3/3156329 - -2553473365/3370959372. Let r = -2/267 + w. Let v be ((-3)/(-12))/(-1)*2. Which is the nearest to 1? (a) -6/7 (b) r (c) v b Let h = 0 + -2. Let y = -0.391 + 0.431. Let x(w) = w**3 - 3*w**2 - 2*w + 1. Let k be x(3). What is the closest to y in k, -1, h? -1 Suppose 0 = -31*g + 20*g - 11. Which is the nearest to g? (a) -0.4 (b) -2/9 (c) -2/3 (d) -1/5 c Let p = 46 + -63. Let y be p/85 - (39/30 + -2). Let b = -1 + 2. What is the nearest to b in -5, y, 4? y Let t = -539 - -539. Let r = 1/14 - 31/140. Which is the nearest to 0? (a) 5 (b) r (c) t c Let y = -1.5 - 3.5. Let f = -1.3 + 1.2. Let o = f - -0.11. What is the closest to o in -0.2, y, -0.1? -0.1 Let g = -19 - 0. Suppose 5*x - 58 = -158. Let s = x - g. What is the closest to -1/4 in -4, -3, s? s Suppose -y + 10 = 3. Let i be 6 - 5 - y/6. Suppose -4*g - f = 6, 3*g - 2*f - 3*f - 7 = 0. Which is the closest to g? (a) i (b) -2/5 (c) -1 c Let n = -593/1100 - 3/275. Let y = n - -1/20. Let v = 42 + -83/2. Which is the closest to y? (a) -1/3 (b) -4 (c) v a Let o be ((-85)/10 - -5) + 3. What is the nearest to o in -2, 3, -1? -1 Let c = 320212 - 4167395/13. Let t = 357 + c. What is the closest to 0.1 in -3, 3/4, t? t Let x = 61/54 - -1/27. Which is the closest to -6? (a) x (b) -0.4 (c) -2/17 b Let m = 3 - -28. Let w = m - 30.9. Which is the nearest to w? (a) 4 (b) 2/17 (c) 0.1 c Let s = -0.0018 + -2.9982. Which is the nearest to -1? (a) s (b) 1/200 (c) 2 b Let f = 1145.94 - 1146. Which is the nearest to 5/7? (a) f (b) 0.4 (c) 2 b Suppose -5*j = 3*d + 2, 2*d + 0*j = -3*j. Let x = 0.1 + -0.3. Which is the closest to x? (a) -2 (b) -0.2 (c) d b Let j = 43 + -40. Let c = -0.1 + 0.2. Suppose 0 = -2*a + 6, 4*a + 0 + 13 = 5*i. What is the closest to c in j, -3, i? j Let q = -62 + 61. Let t be q/((-22)/4) + 2/(-11). Let f = 1 - 1. Which is the nearest to f? (a) t (b) 5 (c) 4 a Let q be 2/(-3) - 22/3 - -3. Let d(s) = s**3 + 6*s**2 + s + 2. Let b be d(-6). What is the closest to 1/3 in q, b, 2/11? 2/11 Let v be 43/(-55) + (-4)/(-22). Let p = -0.7 - -0.6. Which is the closest to p? (a) 0.5 (b) v (c) -0.1 c Suppose 2*b + 2302 = -5*o, 3*o + 2*o + 2303 = -3*b. Let t = 1857/4 + o. Let p = t - 23/4. What is the nearest to 3 in p, 1/6, -2? 1/6 Let n = 25 - 20. Let p(w) = -w**3 + 2*w + 1. Let z be p(-1). Suppose z = 4*x + 4 - 0. Which is the nearest to 2/3? (a) n (b) -1/8 (c) x b Let m = 21.2 - 26.2. What is the closest to -4 in 1, m, -0.1? m Let i = 14.82 - -0.68. Let o = i - 23. Let t = o + 7. What is the closest to 1/2 in -3, -0.2, t? -0.2 Let j = 21/11 - 74/33. What is the closest to -0.1 in 2, -4, j? j Let q(z) = z**2 + 77*z + 221. Let r be q(-3). What is the closest to r in -4, 1, -2/15, 0.3? -2/15 Let h = -499 - -499. Which is the closest to 0.1? (a) h (b) -1/4 (c) -1/41 a Suppose 5*r = n - 7, -4 = -3*r + 4*n - 15. Which is the closest to 0.6? (a) r (b) -2 (c) -1/12 c Let v = 150.87 + -147. Let f = v - -0.13. Let d = 0.1 + 0.4. What is the nearest to 0.2 in d, f, -2? d Let b be (-4)/1 - (-1 - 1). Let w be ((-16)/(-140))/(b/(-5)). Let n = -454.7 - -450.7. What is the closest to 0.1 in 0, w, n? 0 Let o = -56.76 + 56.8. Which is the closest to o? (a) 2/5 (b) -2/15 (c) 1 b Let p = 14/99 + -4/11. Let t = -6.8 - -7. What is the nearest to p in -3/5, t, -1? -3/5 Let u = -493 + 2469/5. What is the closest to -38 in 3, 1, u, 4/7? 4/7 Let m = 1.23 + 47.77. Let k = -54 + m. Which is the nearest to -1? (a) 0.04 (b) -1/2 (c) k b Suppose 28*x - 18 = 10. What is the nearest to x in -1/4, -5, -0.031? -0.031 Let o = 0.46 - -0.24. Which is the closest to 0? (a) 1/3 (b) o (c) 0.3 c Let j = -2 + 3.3. Let s = 1 - j. Let y = -2 + 2. What is the nearest to y in s, -4, -5? s Let f = -58.83 + 58. Let v = -1.33 - f. Which is the nearest to -1? (a) -5 (b) 0.1 (c) v c Let v = -0.3 + 1.2. Let d = -3.1 - v. Let t = 457 - 456. What is the closest to t in 0.1, d, -1/3? 0.1 Let l = -60.3 + 60.3. Which is the closest to -1/3? (a) l (b) 5 (c) -0.2 (d) -0.1 c Let i = 2528 - 22750/9. What is the nearest to -7 in 0.3, i, -0.11? -0.11 Let w = -7.2 + 2.2. Let y = -22 - -19. Let l = -1 + 2. What is the nearest to l in w, -0.4, y? -0.4 Let j be 1*(-6 - 126/(-22)). What is the nearest to 1 in 4, j, -2/3? j Let x be (-3432)/(-2310) + 4/(-14). Let g = 0.2 - 0.1. What is the nearest to 0.1 in -2, g, x? g Let n = -7.12 - -7.42. What is the closest to 1/2 in 0.1, 0.15, -12, n? n Let s = -73.7 - -62. Let p = s + 11.8. What is the closest to p in 4, -3, -0.1? -0.1 Let k(j) = -5*j + 1. Let c be k(1). Let l be -1 - (-8 + 4 - c). Let m be (-6)/3 + (-10)/(-7). What is the closest to l in m, 4, 1? m Let o = -95 - -62. Let b = o - -35. What is the closest to b in -2/3, 2/13, 5? 2/13 Let n = 0 + -0.1. Suppose 3*v + 2*s + 0*s = -16, 4*v - 2 = 2*s. Let f be v/(-5) - 0/(-4). Which is the nearest to f? (a) 0.5 (b) -1/7 (c) n a Let v be (-228)/(-28) + -4 - 4. Let y = 29 - 29. What is the closest to y in -1/3, 0.03, v? 0.03 Suppose 4*j - 6 = 2*f, j - 2*f - 6 = -3*f. Suppose 5 = -k + 2*o, 2*k - 7*k = -j*o - 3. Which is the closest to k? (a) 0.2 (b) -3 (c) 5 c Let h = 553 - 557.4. Which is the closest to 1? (a) -2 (b) 0.2 (c) h b Let l = 0.4 - 0.6. Let k be (((-120)/(-54))/(-5))/((-6)/9). Which is the nearest to l? (a) k (b) -3/5 (c) -5 b Let p = -1.1 - -9.6. Let w = -3.5 + p. Let g = -0.29 + 0.09. What is the nearest to 0 in g, -2, w? g Let q = 76 - 71. Let o = 179 + -180. What is the nearest to -1.8 in q, o, 3? o Let v = -192.04 - -192. What is the nearest to 0 in -2/9, v, 1/24? v Let j be 4 + 4/12 + 23/(-6). Let b = -11.5 - -11. What is the closest to j in 3, b, 2/7? 2/7 Let r = -605 + 604. What is the closest to -2 in 0.1, r, -3/2? -3/2 Suppose 24 = -10*t - 2*t. Let d be -2 - (t + (-6)/(-2)). Which is the nearest to -0.09? (a) d (b) 3 (c) 0 c Let x = -1.1 + 1. Let g = -5 - -22. Let j = -17.05 + g. Which is the closest to x? (a) -4 (b) 5 (c) j c Let h(i) = 13*i - 65. Let k be h(5). Which is the closest to 0.1? (a) -5 (b) k (c) 7 b Let m = -0.5016 + 0.0016. Which is the closest to 2? (a) 1/5 (b) m (c) 0 (d) -8 a Let g = 12 + -5.4. Let t = g - 9. Let v = 1.6 - t. Which is the closest to -2? (a) 5 (b) 0.1 (c) v b Suppose 0 = -3*w - 2*w - 20. Let x be (-168)/(-20) - w/(-10). Suppose -4*v + 4 = -x*v. Which is the closest to v? (a) -0.4 (b) -3 (c) -2 a Let b = -0.2198 - 0.2802. What is the closest to 0.2 in 0.03, 4/5, b? 0.03 Let t = -125/2244 - 1/204. Which is the nearest to 0? (a) -4 (b) t (c) 3 b Let z = 0.1818 + -131.2818. Let g = z - -131. Which is the nearest to -4? (a) -0.3 (b) g (c) -4 c Suppose -j = j + 2. Let u = -9.31 - -10.31. Which is the nearest to u? (a) j (b) 0 (c) 4 b Let j = -2.3 + 2.4. Let s = -40 - -40.96. Let g = s + 0.04. Which is the closest to j? (a) -2 (b) 3/4 (c) g b Let u = 3.5 - 0.3. Let n = 3.2 - u. Which is the nearest to n? (a) 0 (b) 4 (c) -8 a Let z = 629.41 - 633. Let f = z + 0.59. Which is the nearest to 0.1? (a) -2/21 (b) f (c) 4 a Let q = -629 - -613. What is the nearest to q in 3, 0.4, 6/5? 0.4 Let p = 96.6 - 98.6. Which is the nearest to p? (a) 1 (b) 36 (c) 4 (d) 3 a Let s = 0.56 - 54.56. Let u = 52 + s. Let l = 2 + -1. Which is the closest to l? (a) 5 (b) 0.5 (c) u b Let o = -9 - -10.1. Let l = -6.1 + o. Let d = 42 - 37. W
{ "pile_set_name": "DM Mathematics" }
-11*y = 2*x - 50 for x. 3 Solve 3*j - 1 = -l, -3*j - 41*l = -43*l - 7 for j. 1 Solve 2*y - 10 = 0, -4*y + 19 = 4*c - 5 for c. 1 Solve 4*v + z = -15, -2*v - z - 3*z = -10 for v. -5 Solve -4*v = -5*z - 43, -26*z = -2*v - 24*z + 18 for v. 2 Solve -12*l + 8*l + k = -20, 2*l - 2*k - 4 = 0 for l. 6 Solve -19*s + 4*g = -22*s - 33, -4*s = -4*g - 12 for s. -3 Solve -4*k + 32 = -3*u, 5*u - 3*k = -k - 30 for u. -4 Solve 3*f - 3*i + 6 = 0, -2*i = 5 + 1 for f. -5 Solve 5*f + 7 = y, -f = -4*f - 3*y + 3 for f. -1 Solve -4*u + 9 = 5*k, 0 = 5*u + 26*k - 31*k for u. 1 Solve -5*n + 25 = 3*w, -4*w + 14 = -3*n - 0*n for w. 5 Solve -4*n = -4*j + 4, j - 21 = -0*j + 5*n for j. -4 Solve -3*w - 5*i - 28 = 0, -w + 2*w = 2*i + 9 for w. -1 Solve -4*p + 3 = m, 0*p - 4 = p + 5*m for p. 1 Solve h + 27 = 2*t + 12, 0 = h + 4*t - 15 for h. -5 Solve 0 = 5*u - l - 10, -l + 8 = 13 for u. 1 Solve -2*a - 3*a = -5*l - 45, 2*l = a - 13 for l. -4 Solve -3 = -3*l, -3*l = 2*c - 7*c - 18 for c. -3 Solve -l - 3 = -d - 0, -4*d - 5*l = 15 for d. 0 Solve -8 = -5*w - z + 5, 2*z + 7 = w for w. 3 Solve -5 = 2*g - 3*l + 3, 20 = -5*g - 3*l for g. -4 Solve 3*k + n = 0, 2*k - 5*n - 16 = 1 for k. 1 Solve -2*o - 4*l = -26, -8*o + 22 = -6*o + 3*l for o. 5 Solve m = 3*m - j + 13, 27 = -3*m + 4*j for m. -5 Solve 0 = 4*j + 10 - 2, 4 = -5*f + 3*j for f. -2 Solve 3*w = 2*s + 15, -3*w - 2*s - 128 = -131 for w. 3 Solve 2*u + 6 + 4 = 2*l, 5*l - 3*u = 23 for l. 4 Solve -4*n + 2*j = -4 + 2, 4*j = -n + 5 for n. 1 Solve -h + 2 = 2*f, 0 = -75*h + 77*h + f - 1 for h. 0 Solve 2*a + 20 = -5*t, 2*a - 3 = -t - 7 for t. -4 Solve 0 = -q + 2*t + 16 - 8, -4*t - 10 = q for q. 2 Solve 0 = 3*n + 2*h + 10, -2*n + 4*n + 12 = -4*h for n. -2 Solve -5 = 3*t - a, 12*a = -5*t + 7*a - 15 for t. -2 Solve 4*m = -g - 12 + 8, 12 = 4*m - 3*g for m. 0 Solve -5*r - 3*o - 2 = 0, 3*r + 0*r + 3*o = 0 for r. -1 Solve -3*w + 4 = 2*s, 0*s - 3*s - 2*w = -11 for s. 5 Solve -4*m - 3*r = 9, -7*m = -8*m + 3*r - 21 for m. -6 Solve -12 = -6*t + t - x, 5*t - 14 = -2*x for t. 2 Solve 2*z + 12 = 6, -1 = y - z for y. -4 Solve -f + 5*f + 9 = -5*c, 0 = 4*c + f + 16 for c. -5 Solve 3*l + s = 9, s - 5*s - 12 = -4*l for l. 3 Solve 3*i - 4*u = 19, -15 = -4*i - 6*u + u for i. 5 Solve 2*r + 20 = -4*i, 2*i - i - 5*r - 6 = 0 for i. -4 Solve 0*j = 5*d + 3*j, 2*j = -3*d - 1 for d. 3 Solve -3*r + 4 = 5*y, 23*r - 19*r - 3*y + 14 = 0 for r. -2 Solve -a + 3 = -3*a + 3*b, 5*a + 3*b - 24 = 0 for a. 3 Solve v - 3 = 2, 3*r + 2*v - 10 = 0 for r. 0 Solve d = 5*p - 0*d - 5, -d - 5 = -4*p for p. 0 Solve -5*l - 3*q - 3 = -15, l = -4*q + 16 for l. 0 Solve 5*a = o + 7, 15*o + 3*a + 5 = 11*o for o. -2 Solve 0 = 3*o + 2*m + 10, -5 = -5*o - 5*m - 30 for o. 0 Solve 0 = -4*y - 6*b - 10, 9 = -6*y + y - 4*b for y. -1 Solve d = 2*g - 4, -6*d + d - 3*g = -19 for d. 2 Solve 3*j = -4*i + 6*i + 1, 2*i - 4*j = -4 for i. 4 Solve 4*y + 3*x = -1, -1 + 6 = -5*y - 5*x for y. 2 Solve 3*v - 3*w + 12 = 0, 4*v + 5*w - 365 = -372 for v. -3 Solve w - 41 = -5*s - 71, -2*s = -5*w + 12 for s. -6 Solve 4*y + 26 - 2 = 2*h, h = -y - 3 for h. 2 Solve 25 = 7*y - 2*y - 5*n, 0 = -4*y + n + 11 for y. 2 Solve 4*a - 15 = 4*p + 3*a, 0 = 2*p + a + 15 for p. -5 Solve 0 = -3*s + t + 7, 60*s - 2 = 61*s + 4*t for s. 2 Solve 0 = 4*l + 4*n - 8, n = 2*l + 25 - 23 for l. 0 Solve -3*s + 6 = -l - 4*l, -4*l + 2*s = 6 for l. -3 Solve -78 = -2*c - 4*y - 52, -4*y = -c - 11 for c. 5 Solve -5*d = -2*d + 3*r - 15, 2*d - 2 = 2*r for d. 3 Solve 4*s + 4 = -3*d, 4*d - 4 = -3*s - 0*s for s. -4 Solve 4*j - 3*y = 8, 41*y - 5 = j + 42*y for j. -1 Solve 5*o - 17 = -2*b, -o = 5*b - 0*o - 8 for b. 1 Solve 0 = 3*b - 5*p - 2, -30*b + 26 = -26*b + 5*p for b. 4 Solve -5*q = -20, 17*q = -4*t + 16*q + 20 for t. 4 Solve 4*t + v - 4 = 0, 2*v - 18 = -t + 6*v for t. 2 Solve -4*j + 36 - 7 = 5*q, -12 = -3*q + 3*j for q. 5 Solve 7*n - 12*n = 4*d, 0 = -4*d + 3*n for d. 0 Solve l - 2*b = -2*l + 1, 2*l + 6 = 3*b for l. 3 Solve 86*v - 87*v - 4*m - 13 = 0, -5*m - 15 = 0 for v. -1 Solve o = -3*x - 13, -5*o - 5*x - 5 = -2*x for o. 2 Solve 3*n = -9, -9 = 66*x - 67*x + 3*n for x. 0 Solve 16 = -4*u + 7*x - 11*x, 3*u - x = 4 for u. 0 Solve -3*w - 11 = 4*s, 10*s - 6*s = 5*w + 29 for s. 1 Solve -4*g = -3*m + 23, 3*g + 14 = m - 2 for m. 1 Solve 5*b = 2*u + 51, 2*u - 3*b + 6*b = 21 for u. -3 Solve -5*w = -d - 24, 0 = -5*d - 38*w + 35*w + 20 for d. 1 Solve -2*u + o + o - 6 = 0, 0 = -2*u + 5*o - 9 for u. -2 Solve 5*p + 2*x - 40 + 17 = 0, 26 = 2*p + 5*x for p. 3 Solve 1 = 2*f + 5, 0 = -2*n + 2*f + 14 for n. 5 Solve -g = 0, 0 = -61*y + 58*y + g - 12 for y. -4 Solve 3*q + 8 - 27 = -4*p, q = p + 4 for p. 1 Solve n - 10 = -4*o, 3*o + 4*n = -8 + 9 for o. 3 Solve 5*r - 15 = 5*q, 8 - 20 = 2*q + 4*r for q. -4 Solve 16 = 5*j + 7*g - 10*g, -5*g - 8 = j for j. 2 Solve -4*u - 32 - 12 = 4*r, -4*u + 4 = -4*r for u. -5 Solve 0 = -5*g - p - 30 + 12, 0 = -g - 4*p - 15 for g. -3 Solve 12 = -3*g + 3*o, 36 = -5*g + o + 12 for g. -5 Solve i = -9 + 7, 3*w + 3*i - 6*i = 0 for w. -2 Solve 0 = 4*i + 5*k - 15 + 4, -i = k - 2 for i. -1 Solve v - 53 = 2*k - 63, 5*v + 3*k - 15 = 0 for v. 0 Solve 2*h + 1 = c, 4*h + h + 4 = 2*c for c. -3 Solve 3*l + 4*w = 16, 2 = w - 2 for l. 0 Solve -2*i = 3*d + 6 - 19, -4*d - 2*i + 14 = 0 for d. 1 Solve 3*g = -b + 10, -b = b - 2*g - 4 for b. 4 Solve 14*n - 3*i + 6 = 18*n, -5 = -3*n - 2*i for n. 3 Solve 0 = 3*b - 3*j - 3, -13*b + 18*b - 5 = -4*j for b. 1 Solve 3*b - 15 = -5*h, b + 0 - 15 = -5*h for h. 3 Solve 4*o = -3*s - 19, -2*s + 4*o + 0*o = 6 for s. -5 Solve 4*p + p + c + 4 = 0, 0 = -5*p - 5*c for p. -1 Solve -4*f + 19 = i, -10 - 7 = -3*i - 4*f for i. -1 Solve -5*y = -3*h + 14, 33 - 13 = -2*h - 4*y for h. -2 Solve l - 5 = 2*g, -g + 21 - 22 = -l for l. -3 Solve -4*q + 1 = -j, -q + j - 42 + 43 = 0 for q. 0 Solve -4*q + 8*q = -s + 16, 3*q = 5*s - 11 for q. 3 Solve 0 = 5*d - 3*b, -8*d + 5*b = -4*d for d. 0 Solve 0 = 2*c + 5*g + 18, 3*c - 2*c - g = -2 for c. -4 Solve -2*b - 28 = w - 17, -3*b = 4*w + 19 for b. -5 Solve 0 = 2*z - 4, 8*k + z = 6*k + 2 for k. 0 Solve -4 = 2*h + 4*n - n, -h - 2 = 4*n for h. -2 Solve -4*q = -4*t + 4, -2*t - 48*q + 51*q - 1 = 0 for t. 4 Solve 5*g - 52 = -3*m - 53, -m - 9 = -7*g for g. 1 Solve 2*m = 5*f - 15, 0 = -4*f + 15*m - 13*m + 10 for f. 5 Solve s = -7*w + 2*w + 5, -w = 0 for s. 5 Solve -3*j + 4*j = 4*h + 13, 0 = 4*j + 4*h - 12 for j. 5 Solve 4*q - 22 = -2*f - 0*q, -4*f = 2*q - 14 for f. 1 Solve 33 = 2*s + 42*o - 37*o, 17 = 3*s + o for s. 4 Solve 0 = z - 0*z + 3*d - 6, -2*d = -6 for z. -3 Solve -138*i + 140*i = p - 3, -5*i = -2*p + 6 for p. 3 Solve 0 = 5*z + 2*b - 1, 5*z = -31*b + 32*b - 23 for z. -3 Solve 0 = -2*m - 3*p - 11, -p = -27*m + 22*m - 2 for m. -1 Solve 2*f + 2*d + 26 = -3*f, -4*f - 19 = d for f. -4 Solve 0 = x + 4*w - 104 + 94, 0 = -3*x + 3*w - 15 for x. -2 Solve 0 = 2*z - 3*a - 20, 5*a + 10 = 3*z - 22 for z. 4 Solve 3*n - 25 = -5*f, 0*n + 5*f = -5*n + 35 for n. 5 Solve -3*k + 54*b - 58*b - 30 = 0, 2*b + 4 = 4*k for k. -2 Solve -5*a = 3*z + 24 + 3, -3*z - a - 15 = 0 for z. -4 Solve 2*v = 2*p + 2*p + 16, 5*p + 6 = -v for v. 4 Solve -4*c - 8 = -4*z, -2*c + 0*c = 2*z for z. 1 Solve 1 = 5*y + 4*l, -y + l + 4 = 2*y for y. 1 Solve -3*j = 3*i + 57 - 84, -2*j - 2 = -2*i for j. 4 Solve -10 = y + 5*x, y - 12 = 3*y + 2*x for y. -5 Solve 5*u = -0*o + 4*o - 25, -4*o = 4*u - 16 for u. -1 Solve -a - 13 = -3*p, 2*a - 4 - 5 = -p for p. 5 Solve -3*p + 10 = -d, 5*p - 5 = -5*d + 25 for d. 2 Solve -5*x - 3*g - 15 = 0, -2*g = g for x. -3 Solve -4*h - 20 = -4*i + 8, 2*h + 4 = -3*i for i. 2 Solve 2*t = -m - 9, -39*m + 21 = -4*t - 38*m for t. -5 Solve 5*z - 2*f - 3 = -0, 0 = 5*z - 5*f for z. 1 Solve 5*r - 4 = 4*i, -3*i + 1 = 4 for r. 0 Solve 92*b = 96*b - 2*c - 22, 3*b - 5*c = 13 for b. 6 Solve 4*j - 4 = -3*q, 11*j = 16*j + 3*q - 8 for j. 4 Solve 2 = -2*t - 6, 0 = 2*s - 5*t - 30 for s. 5 Solve 0 = 5*z - 12*o + 17*o + 10, 3*z = -5*o - 8 for z. -1 Solve 3*d + m = 19, -6*d + 23 = -3*d + 5*m for d. 6 Solve 2*y - 5*h + 21 = 0, 0 = 5*h - 8 - 7 for y. -3 Solve 0 = 3*y + 15, 4*v + 19 = -4*y - 1 for v. 0 Solve 3*z - 11 = 2*u, 7 + 3 = -2*z - 3*u for z. 1 Solve z + 4*k = 7, -126 = 2*z - 5*k - 101 for z. -5 Solve -4*t + 20 = -5*o, -75*o = -70*o for t. 5 Solve -4*f = 4*a - 16, 11 = 4*f + 3*a - 6 for f. 5 Solve 2*z - 5 = -989*q + 990*q, -5*z + 10 = 0 for q. -1 Solve
{ "pile_set_name": "DM Mathematics" }
8*d*s Differentiate 6516733*m**3 - 7*m**2 - 64984763 wrt m. 19550199*m**2 - 14*m Differentiate 4*a*b*n - 4*a*b*s + 3*a*n*s - 2066*a*s + 2*b*n*s - 2611*b*n - 23*n*s - 2*s - 2 wrt a. 4*b*n - 4*b*s + 3*n*s - 2066*s Differentiate q**3 - 131997*q**2 - 6*q + 11699531. 3*q**2 - 263994*q - 6 What is the third derivative of 8*s**4 + 14182028*s**3 + 98833264*s**2? 192*s + 85092168 What is the third derivative of -236003215*v**3 - 103722117*v**2? -1416019290 What is the first derivative of 23529945*f - 23132456 wrt f? 23529945 What is the second derivative of -2949*k*s**3 + 2*k*s - 7550*k - 65023*s**3 - 364*s + 2 wrt s? -17694*k*s - 390138*s Differentiate 3001*b**3*m**4 + 3969*b**3*m**2 - 15*b**3 - 7432*b**2 + 10*b wrt m. 12004*b**3*m**3 + 7938*b**3*m What is the third derivative of -2428*r**5 - 25766*r**4 - r**2 - 23*r - 440624? -145680*r**2 - 618384*r What is the second derivative of 57230623*q**2 - 64*q - 252550? 114461246 Differentiate 2*c*n*w - 330296*c*n - 6*c*w + 171309*n*w + 2*n + 13 with respect to w. 2*c*n - 6*c + 171309*n What is the first derivative of -s**2 - 2398566*s - 10999777 wrt s? -2*s - 2398566 What is the second derivative of -166*t**2*x**2 - 3395*t**2*x - 3*t**2 - 84*t*x**2 + 5*t*x + 2*t + 12*x**2 wrt x? -332*t**2 - 168*t + 24 What is the third derivative of 16793230*q**5 - 3154608*q**2? 1007593800*q**2 What is the second derivative of 2*t**4 + 5062732*t**3 + 19309202*t wrt t? 24*t**2 + 30376392*t Find the third derivative of 89163*k**4 - 2487*k**3 - 1281567295*k**2 wrt k. 2139912*k - 14922 Differentiate 3337737*d**2 + 13*d + 8183071 wrt d. 6675474*d + 13 What is the first derivative of 789703*d - 60109433 wrt d? 789703 Find the second derivative of 27764462*m**3 - 12374880*m wrt m. 166586772*m Differentiate -128891914*f*r + 41209692*r with respect to f. -128891914*r Find the third derivative of -7378040*f**3*y**3 - 64*f**2*y**3 - 21*f**2*y**2 - f*y**3 + y**3 + 75*y**2 wrt f. -44268240*y**3 What is the second derivative of -1099062908*g**4 + 9595*g - 16486 wrt g? -13188754896*g**2 Find the third derivative of -a**2*k**2*y**2 + 77*a**2*k*y**2 - 5*a**2*k + 38365*a**2*y**3 - 221*a**2*y**2 + 2*a*k**2 + 225*k**2*y**3 + 1 wrt y. 230190*a**2 + 1350*k**2 Find the third derivative of 12022694*o**3 - 1071509*o**2 + o - 1 wrt o. 72136164 Find the first derivative of -12256501*d**2 + 3*d - 100683459. -24513002*d + 3 What is the second derivative of -6670127*f**4 + 52760*f - 5? -80041524*f**2 What is the third derivative of 1213925*u**4 - 144*u**3 - 56211690*u**2 + 1 wrt u? 29134200*u - 864 Find the second derivative of -363297596*k**5 + 392172649*k. -7265951920*k**3 What is the second derivative of -449120845*a**2 + 839243*a - 187? -898241690 Differentiate 1075*c**2*n + 2*c**2 - 50*c*n - c - 7609745*n + 1 wrt c. 2150*c*n + 4*c - 50*n - 1 Find the second derivative of -6442*d**2*g**2 - 859*d**2*g + 12639*d*g**2 - 9*d wrt d. -12884*g**2 - 1718*g Find the second derivative of -51889200*x**3 - 172*x - 148779 wrt x. -311335200*x Differentiate 3*b**3 + b**2*h**2 - 3288181*b + 4*h**2 - 49756*h + 10 with respect to b. 9*b**2 + 2*b*h**2 - 3288181 Find the third derivative of -14253359*f*t**4 + 2*f*t**3 - f*t**2 - 4*f*t + 3*f + 68*t + 708 wrt t. -342080616*f*t + 12*f Find the third derivative of -642553*t**5 + 72*t**3 - 1826*t**2 - 18442*t + 2 wrt t. -38553180*t**2 + 432 Differentiate -k*r**2 - 48705*k*r + 480493396*k - 469*r**2 wrt r. -2*k*r - 48705*k - 938*r What is the first derivative of 7562813*m**2*w - 8794080*m**2 wrt w? 7562813*m**2 Differentiate -176*g*n - 355588*g - 39*n - 1942575 wrt g. -176*n - 355588 Differentiate 4*q**2*r**2 - 654*q**2 - 545*q*r + 110*r**2 - 60643 with respect to q. 8*q*r**2 - 1308*q - 545*r What is the second derivative of 23*a**3*o**2*z**2 + 22*a**3*o + 17*a**2*o*z + 33*a*o + 1097951*o**2*z**2 + o**2*z - 11*o**2 - 3*z - 1 wrt z? 46*a**3*o**2 + 2195902*o**2 Find the third derivative of -380229*q**6 + 6*q**5 - 5*q**3 - 8941*q**2 + 302. -45627480*q**3 + 360*q**2 - 30 What is the first derivative of -10*a**3*h + 12881212*a**3 - 4*a*h - 255341*h**4 wrt h? -10*a**3 - 4*a - 1021364*h**3 Find the third derivative of 154708798*v**3 - 702*v**2 - 2*v - 239125. 928252788 What is the third derivative of 123*d**5 + 9131*d**4 - d**3 - 558*d**2 + 90*d + 1103? 7380*d**2 + 219144*d - 6 Differentiate 58643*p*q**2 + 867*p + 7*q**3 + 260*q**2 + 26111 with respect to q. 117286*p*q + 21*q**2 + 520*q What is the third derivative of -32269790*s**4 + 8404184*s**2? -774474960*s Find the third derivative of -1133*l**3*t**2 - 696*l**3*t + 18211*l**2*t**2 + 29*l**2*t + t**2 + t wrt l. -6798*t**2 - 4176*t Find the third derivative of 24265446*l**4 - 25573*l**2 - 1145*l wrt l. 582370704*l What is the third derivative of 9305*h**6 - 13*h**4 + 25*h**2 - 36936 wrt h? 1116600*h**3 - 312*h Find the third derivative of 34441945*z**4 + z**2 - 3726833*z + 2 wrt z. 826606680*z Find the second derivative of 5315818*r**2 - 16572138*r. 10631636 Find the third derivative of -60439513*d**3*s**3 + 2*d**2*s**2 + 6*d**2 + 131733*d*s**3 wrt d. -362637078*s**3 What is the second derivative of -75616583*m**3 + 36135994*m + 1 wrt m? -453699498*m What is the third derivative of 650*h**3*z**3 + 2*h**3*z**2 - 575731*h**3 - 1917*h**2*z**3 wrt z? 3900*h**3 - 11502*h**2 Find the third derivative of 9904655*s**5 - 6*s**3 - 13*s**2 + 74931*s - 2. 594279300*s**2 - 36 What is the third derivative of 18690988*b**3 + 685228*b**2 - b - 2 wrt b? 112145928 Find the second derivative of -4939412*x**2 + 10718841*x wrt x. -9878824 Find the second derivative of 941493*t**3 - 8*t**2 - 5223400*t - 2. 5648958*t - 16 What is the derivative of 573*a*j**2 - 443*a*j - 2*a*n + 73*a + 7500740*j**2*n wrt n? -2*a + 7500740*j**2 Find the third derivative of 70*o**4*p + 3*o**4*r + 9297*o**3*r**2 - 2*o**2*p*r**2 - o**2*p*r + o**2*r**2 - 3741*o*p*r**2 + o + 14*r**2 wrt o. 1680*o*p + 72*o*r + 55782*r**2 Find the third derivative of -23928270*z**3 - 241*z**2 - z + 3017 wrt z. -143569620 What is the first derivative of 85*i**3*y**4 - 2*i**3 + 44*i**2 - 10156*i*y**4 - 2088*i - 3 wrt y? 340*i**3*y**3 - 40624*i*y**3 Find the first derivative of -6766*o**3 + o**2 + 54*o + 86440 wrt o. -20298*o**2 + 2*o + 54 What is the derivative of -174*d**3 + 470*d**2 + 238*d + 8193860 wrt d? -522*d**2 + 940*d + 238 Find the second derivative of 49079128*c**5*l + 2*c*l + 6744020*l wrt c. 981582560*c**3*l What is the third derivative of -101910*c**5 - 15*c**3 + 110017055*c**2? -6114600*c**2 - 90 What is the first derivative of -8189486*n**2 + n + 644451 wrt n? -16378972*n + 1 Find the second derivative of -123*d**4 + 797*d**3 + 2*d**2 - d - 414675908 wrt d. -1476*d**2 + 4782*d + 4 Find the second derivative of -3786993*a*r**2*w**2 - a*r*w**3 + 70*a*r*w**2 - 466*a*r*w + 2*r**2*w**3 - 2*r*w - 2*w**2 wrt r. -7573986*a*w**2 + 4*w**3 What is the second derivative of 189187011*f**2 - 39004512*f + 5? 378374022 What is the second derivative of -3*d**4 + 19552658*d**2 + 436962412*d wrt d? -36*d**2 + 39105316 Find the second derivative of -197377415*g**3 - 224917855*g. -1184264490*g What is the second derivative of 67950*g**3*h**2 - 9*g**3 - 841134*g*h**2 - 2*g wrt g? 407700*g*h**2 - 54*g Find the second derivative of -30383398*n**2 - 20807513*n. -60766796 Differentiate 15615194*b**2*i**3*l + 5*b**2*i - 2*b**2*l - b**2 + 2*b + 57651*l + 167 with respect to i. 46845582*b**2*i**2*l + 5*b**2 What is the second derivative of -2879*t**5 - 2499*t**4 + 122727638*t? -57580*t**3 - 29988*t**2 Find the second derivative of 15969514*z**5 - z - 4608444. 319390280*z**3 Find the third derivative of 1811422*d**3*h**3*y**2 + 8*d**3*h*y**2 - 292*d*h**2*y**3 + 14*d*y**3 + 2*h**3*y**3 wrt h. 10868532*d**3*y**2 + 12*y**3 What is the first derivative of -306*y**3 + 234193*y**2 + 767108053 wrt y? -918*y**2 + 468386*y What is the second derivative of -74207446*b**3*l**2 - b*l**2 + 2*b*l + 27781*b + l**2 + 7*l - 3 wrt b? -445244676*b*l**2 What is the first derivative of -3*l**2*p + 3*l**2 + 11400*l - 217207399*p - 2110 wrt p? -3*l**2 - 217207399 What is the first derivative of -18763156*y**2*z**3 - 702343630*y**2 + z**3 wrt z? -56289468*y**2*z**2 + 3*z**2 Find the third derivative of -172918947*b**3*r**5 - 2748*b**3*r**2 + 8*b**3*r - 159*b**2 wrt r. -10375136
{ "pile_set_name": "DM Mathematics" }
- 2*w**4)*(0 - 1 + 2) - 93*w + 93*w + 293*w**4. 288*w**4 Expand -92*h - 95*h + 186*h - 829*h**4 + (0*h**3 + h**3 - 4*h**3)*(-h - 2*h + 4*h). -832*h**4 - h Expand (-14*h - 27*h**2 + 14*h)*(5 + 18 - 9). -378*h**2 Expand (13 - 4*v - 13)*(0 + 4 - 2)*(-11 + 6 + 14)*(-2 + 4 - 3). 72*v Expand (k**5 + 0*k**5 - 2*k**5)*(-36 + 131 + 84). -179*k**5 Expand 4 + 6 - 12 - y**2 + (8*y - y - y)*(-y - 3*y + 3*y). -7*y**2 - 2 Expand -6*d**2 + 0*d**2 + d**2 + (2 + 0 + 1)*(2*d**2 - 2*d**2 - 2*d**2) + d**2 + 2*d**2 - 5*d**2 + (-d + 0*d + 2*d)*(4*d - 2*d + 0*d) - 2*d + 2*d + d**2. -10*d**2 Expand (q - 2*q**3 - q)*(-2*q - q**2 + 2*q) - 21*q**5 + 0*q**5 + 3*q**5. -16*q**5 Expand (-3 - 4 + 6)*(3*f**4 - 3*f**4 + f**5) - 3*f**5 + 0*f**5 + 6*f**5 - 41*f**5 + 219*f**5 + 38*f**5. 218*f**5 Expand 5 - 5 - 8*i**2 - 16*i**2 + (-i - i - 6*i)*(i + 1 - 1). -32*i**2 Expand (0*k + 2*k + 0*k + (-k + 2*k + k)*(0 + 3 - 5) + (-4 - 2 + 4)*(-4*k - 1 + 1))*(-16*k**2 + 10*k**2 + 10*k**2)*(0 + 3 - 4). -24*k**3 Expand (-337*m + 197*m - 349*m)*(-1 - 2*m**4 - 3*m**3 + 1). 978*m**5 + 1467*m**4 Expand (2107*k - 688*k + 1560*k - 1004*k + 2563*k)*(3*k**2 - 3*k**2 + 2*k**2). 9076*k**3 Expand (-5*f**2 + 4*f**2 + 5*f**2)*(1 + 3 + 11)*(0*f**3 + 4*f**3 - 6*f**3). -120*f**5 Expand (3*c + 1 - 70*c + 10*c)*(2 - 3 + 2). -57*c + 1 Expand (22 - 22 + 16*p)*(-2*p + 0 + 0) - 2 + 2 - 8*p**2 - 3. -40*p**2 - 3 Expand -16*n**4 + 69*n**4 + 37*n**4 + (-3*n**3 + n**3 + 4*n**3)*(5*n + 2 - 2). 100*n**4 Expand (33*z - z**2 - 33*z)*(-86 + 58 - 14 + (0 + 1 + 1)*(-1 + 2 + 1)). 38*z**2 Expand (3*r - r + r)*(-525 + 525 - 32*r)*(-3*r**2 + 0*r**2 + 7*r**2). -384*r**4 Expand 1 - 2 - 2*c + 3*c + (c - 4*c + 0*c)*(8 - 5 - 9). 19*c - 1 Expand 5*w**5 + 5*w**5 - 6*w**5 + (-w - 3*w + 2*w)*(-3 + 3 - 3*w**4). 10*w**5 Expand (-2*l + l**3 + 2*l)*(-2 + 5 - 2)*(-13 - 21 - 26). -60*l**3 Expand 2*w**2 - 2*w**2 + w**2 + (-2*w + 0*w + 0*w)*(1 + 2*w - 1) - w**2 + w**2 - w**2 + 2*w**2 - 4*w**2 + 0*w**2 + (2*w - 2 + 2)*(w - 5*w + 3*w)*(29 - 3 + 20). -98*w**2 Expand (-3 + 2 + 13*w + 0)*(-4 + 6 - 3)*(w**3 - 5*w**3 + 2*w**3). 26*w**4 - 2*w**3 Expand 645*p + 4*p**4 - 645*p + (16*p**3 + 47*p - 47*p)*(3 - 3 + 2*p). 36*p**4 Expand ((3 - 2 + 0)*(0 + a + 0) - 3*a - a + 10*a)*(5*a - 3*a - 3*a) + 0 + 2*a**2 + 0 + 25*a**2 - 155*a + 155*a. 20*a**2 Expand (-1 - 15 + 145)*(3*o**4 + 2*o**4 - 7*o**4) - 2*o**4 + 4*o**4 + 0*o**4. -256*o**4 Expand (5 - 3 - 3)*(0*k + k + k) + (-2 - 4 + 4)*(k - 9*k - 6*k). 26*k Expand (-d**2 - d**3 + d**2)*(-2 + 5 - 2) + 15*d**3 - 35*d**3 + 76 + 22*d**3. d**3 + 76 Expand (0*d - 2*d + 0*d)*(1 + d - 1) + 30*d**2 - 89*d**2 + 17*d**2 + ((-3 + 1 + 3)*(-4 - 2*d + 4) + 0*d - 2*d + 0*d - 3*d + 2*d + 2*d)*(0 + 0 - 2*d). -38*d**2 Expand ((-q + 0*q - q)*(-3 + 4 + 0) - 2 + 2 - q)*(3 + 3 - 3 + 0 - 2 + 1 + (6 - 2 - 2)*(4 - 2 - 4) + 4 - 3 - 9)*(3 + 3 - 4). 60*q Expand ((2*w**3 - 4*w**3 + 0*w**3)*(21*w - 3*w + 71*w) + 0*w**4 - w**4 - w**4)*(-w + 6*w - 3*w). -360*w**5 Expand -3*g + 3*g + 2*g - g + 6*g - 3*g + (-2 - 2*g + 2)*(3 - 2 - 2) + 2*g - 2 + 2 - 5 + 5 - g + 310*g + 401 - 401. 317*g Expand (308*l + 63*l + 648*l - 38*l)*(4*l + 0*l - 3*l)*(-5*l**3 + l**3 + 3*l**3). -981*l**5 Expand 10252 + 190*j**4 - 10252 + (2*j - 2*j**3 - 2*j)*(3*j - 4*j - j) - 2*j**4 - 4 + 4. 192*j**4 Expand (3*z - 5*z + z)*(-205 - 232 - 213). 650*z Expand (2*s**2 + 4*s**2 - 5*s**2)*(-22 - 4 + 5) + 2*s - 8*s**2 - 2*s + (-s**2 + 1 - 1)*(-2 - 3 + 4). -28*s**2 Expand (-5*z + 5*z + 4*z)*(7*z + 6*z - 7*z)*(-25*z + 72 - 72). -600*z**3 Expand (0 + 0 + c)*(2*c - 4 + 4 + c + 2*c - 2*c - 5*c + 2*c + 2*c + (4*c + c - 4*c)*(-4 + 4 + 2) + 3*c - 2*c - 4*c). c**2 Expand (-1 + 4 - 1)*(-5*s**2 + 0*s**2 + 3*s**2) + 7*s**2 - s + 25*s**2 + 3*s. 28*s**2 + 2*s Expand (-6*x + 2*x + 0*x)*(2 - 4 + 0)*(-4 - 2 - 3)*(-1 - 1 + 5). -216*x Expand (-15 - 14 + 10)*(-z**2 - z**2 - z**2). 57*z**2 Expand (-4*u + 57 - 57)*(-2*u + 2*u - u) + 0*u**2 - 3*u**2 + 2*u**2. 3*u**2 Expand (71 - 267*o**2 - 73 + 261*o - 264*o)*(-1 + 2*o**3 + 1). -534*o**5 - 6*o**4 - 4*o**3 Expand -67*k**3 + 54*k**3 + 90*k**3 + (-k + 0*k + 3*k)*(-3*k**2 + 4*k**2 + 0*k**2) - 3*k + 3*k + k**3. 80*k**3 Expand (0 + 4 - 2)*(-2 + n + 2)*(-6 + 5 + 10). 18*n Expand -2*m**3 - m**3 + 0*m**3 + (-m**2 - m**2 - 3*m**2)*(-5*m + 6*m + 3*m). -23*m**3 Expand (0 + 1 - 2)*(2*l**3 + 3*l**3 - 3*l**3) - 4 - 4*l**3 + 2*l**3 - 56459*l + 56468*l. -4*l**3 + 9*l - 4 Expand (0*o**2 + 5*o**2 + 0 - 1)*(-20 + 13 + 13)*(-1 + 2 - 2)*(3*o - 3*o - o**2). 30*o**4 - 6*o**2 Expand (-2*g**2 + 0*g**2 - 3*g**2)*(2 + 2 - 1) - 4*g**2 + 3*g**2 + 2*g**2 + (0*g + g - 2*g)*(3 - 3*g - 3) - 2*g**2 + 2 - 2. -13*g**2 Expand (303 - 303 - 17*j**3)*(j + 3*j - 5*j - 3*j + 0*j + 5*j + j + 4*j - 3*j - 2*j - 2*j + 5*j + (-j - 4*j + 4*j)*(3 - 5 + 1) - 2 + 2 + j - 6*j + 0*j + 5*j). -85*j**4 Expand (0*g - 4*g**2 + 0*g)*(-3*g + 2*g - g)*(3*g - 4*g + 18*g). 136*g**4 Expand -2 - b + 2 + 3 - 3 + b + (2 - 2 + 2)*(b - 4*b + 6*b) + (2 + 14 - 2)*(-5*b + 4*b + 2*b). 20*b Expand (-20*v - 22 + 22)*(-v + 1 - 1 + (2 - 5 + 2)*(-2*v + 3 - 3)) + 2 - 2 - 2*v**2. -22*v**2 Expand (20*j - 20*j - 10*j**2)*(-5 + 3 + 1) + 0*j**2 - 3*j**2 + j**2 - 2*j**2 - j**2 + j**2 + (-4*j + 5*j + j)*(2*j + 2 - 2). 10*j**2 Expand (-188*q**2 + 8*q**3 - 27*q**3 + 189*q**2)*(-2 + 2 - 1) + (2*q**2 - 5*q**2 + q**2)*(7 - 7 - 5*q). 29*q**3 - q**2 Expand (0*o - 5*o + 2*o)*(45*o + 1274 - 2536 + 6*o + 1270). -153*o**2 - 24*o Expand (-p + p - p)*(-9 - 12 + 0)*(11*p**2 - 3*p**2 + 5*p**2). 273*p**3 Expand (2*d - 2*d**2 - 2*d)*(-1 - 110*d + 55*d + 44*d). 22*d**3 + 2*d**2 Expand (-5 + 5 - 7*g + 2*g + g - g + 1 + 2*g - 1 + 0 + 2*g + 0 + (-2 + 0 + 0)*(2 - 2 - 2*g))*(21*g**2 + 5*g**2 - 12*g**2). 42*g**3 Expand a**4 + 6*a**4 - 3*a**4 + (2*a - 2*a - a)*(0*a + a**3 + 0*a) - 285 + 285 - 16*a**4 - 2*a**2 + a**4 + 2*a**2. -12*a**4 Expand (-11 - 136*s + 2 + 134*s)*(-1 - 2 + 2)*(-2*s + 2 - 2). -4*s**2 - 18*s Expand -22*z**3 + 150*z**3 + 241*z**3 + (-2 - 2 + 3)*(-2*z**2 + 2*z**2 - z**3) - 2*z**3 - 2*z**3 + 6*z**3. 372*z**3 Expand -19*b**3 + 5*b**3 + 6*b**3 + (3*b - 5*b + b)*(3*b**2 - b**2 + 13*b**2). -23*b**3 Expand x**5 - 3*x**5 + 4*x**5 + (-2*x**2 - 2*x**2 + 2*x**2)*(155 - 186*x**3 - 155) + 0*x - 3*x**5 + 0*x. 371*x**5 Expand (3*g**5 - 6*g**5 - 6*g**5)*(4 - 3 + 1) + 0*g**5 - g**5 + 0*g**5 + (-2*g**4 - g**4 + g**4)*(-2*g + 4 - 4). -15*g**5 Expand (0 + 0 - 2*j**3)*(2 + 3 - 2) + 3*j**3 + j**3 - 2*j**3 + (-2*j**2 - j**3 + 2*j**2)*(-2 - 1 + 4). -5*j**3 Expand (5*t - 2*t - t)*(3*t - 5*t + 0*t) + 22*t**2 + 7*t**2 + 10*t**2. 35*t**2 Expand (-2*o + 4*o - 3*o)*(4*o + 6*o + o)*(20 - 20 + 3*o). -33*o**3 Expand (-38*y**2 - 138 + 138 - y)*(-2*y - 1 + 1). 76*y**3 + 2*y**2 Expand -t - 2*t**5 + t + (-4 - 2 + 4)*(2*t**5 + 2*t**4 - 2*t**4) + t**3 - 25*t**2 + 23*t**2 + 1 - 175*t**5 + 176*t**5. -5*t**5 + t**3 - 2*t**2 + 1 Expand (7*l - 7*l - 2*l**2)*(l**2 + 0*l**2 + 0*l**2) + 4*l**4 + l**4 - 26*l**4. -23*l**4 Expand 7*p**3 - 4 - 9*p**3 + p + 0*p**3 + 1 - p**3 - 1 + 0*p**3 - 2*p**3 + 0*p**3 + (-4*p - 2*p**2 + 4*p)*(p - p - 2*p). -p**3 + p - 4 Expand (3 + 1 - 3)*(-15*l - 21*l + 11*l + 4). -25*l + 4 Expand -2*g**2 + g**3 + 2*g**2 + (16*g**2 + 79 - 79)*(1 - g - 1). -15*g**3 Expand -3*a + a + 3*a - 1 + 1 - 4*a + (3*a + 2*a - 4*a)*(3 - 5 + 1) + (-5*a + 3*a + a)*(-2 - 1 + 1) - 1 - a + 1. -3*a Expand (28 - 15 + 2*h - 4)*(11 + 2 + 2*h - 5). 4*h**2 + 34*h + 72 Expand (0*n - 2 + 2*n - 3)*(-1998*n + 1127*n + 1041*n). 340*n**2 - 850*n Expand (-9*x + 5*x**5 + 9*x)*(1 + 2 - 4)*(5 - 10 - 8). 65*x**5 Expand r**5 - 2*r**5 + 0*r**5 + (-r + 0 + 0)*((-9*r**3 - 3*r**3 + 2*r**3)*(5*r - r - 2*r) - 2*r**2 + r**4 + 2 - 2). 18*r**5 + 2*r**3 Expand -73*h**4 + 32*h**4 - h**2 + 33*h**4 + (3 + 1 - 1)*(-5*h**4 + 3*h**4 + 0*h**4). -14*h**4 - h**2 Expand ((0*y - 2*y + 3*y)*(0 - 4 + 3) + 2*y + 4*y - 4*y)*(-1 + 3 + 2). 4*y Expand -1 - 11*o**4 + 1 + (-o + 0*o + 0*o)*(o**3 + 3 - 3) + o**4 + 0*o**4 + 0*o**4. -11*o**4 Expand 4*r**2 - 5*r**2 - r**2 + (-r - r + 0*r)*(3 - 3 + r) - 3 + 3 + 2*r**2 + 74*r**2 + 6*r - 39*r**2 - 44*r**2. -11*r**2 + 6*r Expand (4*u + 0*u - 3*u)*(-2*u - 2*u + 2*u) - 8*u**2 - u**2 + 3*u**2 + (-u + 0 + 0)*(3*u - 4*u - u) + 0*u**2 + 0*u**2 - u**2. -7*u**2 Expand (-4*w - 2*w + 4*w)*(w**2 - 150 - 3*w**2 + 178 + (2*w + 4*w - 4*w)*(-5 + 5 + w) - w - w**2 + w). 2*w**3 - 56*w Expand (5 + 2*x - 5)*(-22 - 822*
{ "pile_set_name": "DM Mathematics" }
t is o(-18)? -180 Let r(x) = -7*x**2 + 56*x - 4. Calculate r(8). -4 Let k(o) = 3*o**2 + 13*o + 8. Calculate k(-9). 134 Let q(x) = -3*x**3 + 9*x**2 + 120*x + 306. Determine q(-3). 108 Let j(k) = -113*k - 356. Give j(-3). -17 Let a(u) = -u**2 - 515*u + 13494. Give a(25). -6 Let n(m) = 3*m**2 + 48*m + 35. Give n(-15). -10 Let p(f) = -f**3 - 23*f**2 - 45*f + 122. Determine p(-21). 185 Let y(t) = -t**3 + 12*t**2 + 112*t - 82. What is y(18)? -10 Let v(d) = -2949*d + 5906. Calculate v(2). 8 Let d(n) = n**3 + 12*n**2 - 281*n - 130. Calculate d(-24). -298 Let s(h) = -2080*h + 20797. What is s(10)? -3 Let f(c) = 10492*c - 62960. Determine f(6). -8 Let b(r) = -r**3 + r**2 + 63*r - 52. Give b(0). -52 Let f(z) = 9*z**2 + 881*z + 3374. Calculate f(-4). -6 Let h(u) = -34*u - 3684. Give h(-108). -12 Let j(l) = -l**3 + 2*l**2 + 113*l - 58. Give j(-10). 12 Let u(k) = -2*k**3 - 6*k**2 + 41*k - 24. What is u(3)? -9 Let t(v) = 93*v + 25. Calculate t(-1). -68 Let v(z) = -130*z + 2070. Give v(16). -10 Let w(m) = -m**3 + 23*m**2 - 31*m + 1329. Determine w(24). 9 Let m(l) = 409*l + 2044. Calculate m(-5). -1 Let p(t) = -t + 9. Determine p(-10). 19 Let g(j) = -5*j + 66. Give g(-8). 106 Let w(h) = 3*h**2 + 46*h + 27. Calculate w(12). 1011 Let y(q) = q**2 - 27*q + 111. What is y(24)? 39 Let y(i) = 29*i**2 - 4*i + 3. Calculate y(1). 28 Let d(g) = -4*g**2 - 430*g - 34. Give d(-109). -688 Let i(a) = -a**3 - 10*a**2 - 15*a + 125. Give i(-11). 411 Let x(g) = -g**3 + 13*g**2 + 66*g + 310. What is x(16)? 598 Let f(z) = -3*z**2 + 281*z - 170. Determine f(93). 16 Let m(y) = y**3 - 84*y**2 + 243*y + 17. Calculate m(81). 17 Let l(k) = 169*k + 134. Calculate l(-3). -373 Let z(m) = -98*m - 1871. Calculate z(-19). -9 Let v(i) = -7*i**2 - 2*i - 11. Give v(-4). -115 Let a(s) = s - 210. Determine a(31). -179 Let c(g) = -44*g + 285. Give c(-5). 505 Let k(x) = -x**3 + x**2 + 14*x + 8. What is k(0)? 8 Let h(m) = 233*m + 100. What is h(-1)? -133 Let f(c) = -2*c**3 + 39*c**2 - 54*c + 6. Calculate f(18). 6 Let f(u) = 66*u + 688. Calculate f(-4). 424 Let o(k) = -569*k - 9687. What is o(-17)? -14 Let x(a) = -a**3 + 61*a**2 + 68*a - 374. Determine x(62). -2 Let b(i) = -3*i**3 - 67*i**2 - 22*i - 39. Calculate b(-22). -39 Let w(j) = -19*j**2 + 96*j + 79. What is w(6)? -29 Let w(l) = -l**3 - 20*l**2 - 33*l - 18. What is w(-18)? -72 Let i(g) = g**3 + 24*g**2 - 57*g - 53. Calculate i(-26). 77 Let t(u) = 13*u - 577. Determine t(42). -31 Let o(w) = 8*w**3 - 3*w**2 - 8*w - 25. Calculate o(-3). -244 Let m(w) = -w - 87. Determine m(-51). -36 Let c(z) = -2*z**3 - 148*z**2 - 126*z + 1462. Calculate c(-73). 2 Let h(x) = 201*x - 2209. What is h(11)? 2 Let r(v) = -77*v**2 - v + 48. Determine r(1). -30 Let d(w) = -120*w + 1955. Give d(16). 35 Let v(y) = -y**2 - 31*y + 7. Determine v(-21). 217 Let x(v) = -2*v**3 - 4*v**2 + 10*v + 126. Give x(0). 126 Let x(o) = -o**3 + 6*o**2 - 3*o - 12. Give x(5). -2 Let a(g) = -g**3 - 42*g**2 - 26*g + 608. What is a(-41)? -7 Let u(w) = -7656*w - 53588. What is u(-7)? 4 Let m(k) = k**3 + 40*k**2 - 26*k + 649. Calculate m(-41). 34 Let i(z) = -360*z - 732. Determine i(-2). -12 Let c(z) = -z**2 - 6896*z - 6894. Give c(-1). 1 Let j(r) = -4*r**2 - 72*r - 211. Calculate j(-3). -31 Let b(v) = -v**3 + 24*v**2 + 102*v - 992. Give b(5). -7 Let u(t) = 14*t - 1776. Calculate u(127). 2 Let z(y) = 7*y**3 - 4*y**2 - 3*y - 13. Determine z(4). 359 Let b(o) = -o**3 + 137*o**2 + 259*o + 2645. Give b(139). 4 Let z(l) = 806*l + 5610. Give z(-7). -32 Let v(h) = 39*h + 17. Give v(2). 95 Let v(c) = -5*c**3 + 72*c**2 - 31*c + 22. Calculate v(14). -20 Let f(u) = -u**2 + 32*u - 28. Determine f(38). -256 Let c(k) = k**2 + 56*k + 230. Give c(-5). -25 Let b(z) = 28*z + 1823. What is b(-68)? -81 Let n(x) = 61*x**3 + 49*x**2 + 2*x + 1. What is n(-1)? -13 Let l(s) = 125*s**3 + 3*s**2 + 25*s - 27. Calculate l(1). 126 Let f(d) = 2*d**3 - 58*d**2 - 73*d + 172. Give f(30). -218 Let f(s) = -s**2 - 988*s - 5895. Give f(-6). -3 Let q(m) = -m**3 + 72*m**2 - 277*m + 332. What is q(68)? -8 Let x(h) = -4*h**2 - 182*h + 59. Give x(-46). -33 Let m(c) = 124*c + 327. Give m(3). 699 Let q(u) = u**3 - 41*u**2 - 170*u - 505. Determine q(45). -55 Let l(u) = u**3 + 6*u**2 + 3*u - 9. Determine l(1). 1 Let c(k) = -2*k**2 + 7*k + 29. Determine c(-5). -56 Let n(g) = 1915*g - 15315. Determine n(8). 5 Let p(n) = -152*n - 2168. Determine p(-15). 112 Let c(k) = k**3 + 70*k**2 + 47*k - 1517. Determine c(-69). 1 Let a(m) = -920*m + 3676. What is a(4)? -4 Let t(x) = -24*x**2 + 125*x - 376. What is t(3)? -217 Let m(j) = -j**3 - 16*j**2 - 7*j + 88. What is m(-3)? -8 Let g(t) = t**3 - 16*t**2 + 18*t - 79. Give g(14). -219 Let c(u) = u**2 - 4*u + 47. Give c(-10). 187 Let o(g) = -g**3 - 41*g**2 + g + 120. Determine o(-41). 79 Let w(h) = -h**3 - 6*h**2 - 4*h - 59. Give w(-7). 18 Let g(p) = 178*p - 31306. What is g(176)? 22 Let b(o) = 4*o**2 - 30*o + 1. Calculate b(6). -35 Let f(q) = -18*q**2 + 49*q + 360. Calculate f(6). 6 Let w(o) = 44*o - 828. Calculate w(19). 8 Let t(q) = -q**3 - 54*q**2 + 526*q + 1861. Calculate t(-62). 1 Let k(h) = -2*h**3 + 33*h**2 - 179*h + 491. What is k(10)? 1 Let s(l) = -l**2 + 317*l - 3357. What is s(11)? 9 Let p(s) = 3*s**2 - 22*s - 10. What is p(7)? -17 Let m(c) = 25*c**2 + 130*c + 130. What is m(-1)? 25 Let d(j) = -193*j - 88. Give d(-1). 105 Let c(v) = -v**3 + 6*v**2 - 85*v + 396. Determine c(5). -4 Let s(r) = 51*r**2 + r. Give s(2). 206 Let f(o) = o**3 + 3*o**2 - 107*o - 22. Determine f(-12). -34 Let n(c) = -7*c - 64. Calculate n(-1). -57 Let s(y) = -y**3 - 12*y**2 + 30*y + 339. Give s(-9). -174 Let q(o) = 588*o - 611. Give q(1). -23 Let z(s) = -s**2 + 16*s - 52. Determine z(3). -13 Let j(y) = y**3 + 15*y**2 + 501*y + 6181. Give j(-13). 6 Let t(p) = -2*p**3 + 155*p**2 - 226*p - 73. Determine t(76). 79 Let n(y) = 53*y + 80. Calculate n(-2). -26 Let u(m) = -10*m**2 + 387*m - 1981. Determine u(5). -296 Let y(o) = o**2 - 4*o - 31. Determine y(-3). -10 Let r(b) = -403*b + 9108. What is r(22)? 242 Let c(j) = 49*j**3 + 3*j**2 - 2*j - 1. Calculate c(1). 49 Let a(u) = u**3 + 35*u**2 + 94*u - 60. Determine a(-32). 4 Let t(i) = 53*i - 388. Calculate t(7). -17 Let c(t) = -2445*t - 7504. Give c(-3). -169 Let o(m) = 27*m + 1530. Calculate o(-57). -9 Let l(v) = -v + 36. Give l(-17). 53 Let x(h) = -h**3 - 27*h**2 - 123*h + 6. Calculate x(-6). -12 Let o(b) = b**3 + 44*b**2 + 85*b + 1802. What is o(-43)? -4 Let b(x) = -527*x - 3046. Determine b(-6). 116 Let p(v) = -7*v**2 + 92*v + 70. Determine p(14). -14 Let q(j) = -7*j**2 - 167*j + 605. Calculate q(-27). 11 Let b(p) = -3*p**3 + 37*p**2 - 41*p - 25. Determine b(11). 8 Let r(c) = c**2 + 125*c + 3310. Give r(-87). 4 Let q(t) = -t**2 + 64*t - 980. What is q(35)? 35 Let u(h) = -h**3 - 9*h**2 + 5*h - 32. Determine u(-10). 18 Let t(i) = 3*i**2 + 30*i + 1. Determine t(-10). 1 Let l(c) = -12*c - 298. Give l(7). -382 Let s(p) = 185*p + 6299. What is s(-34)? 9 Let r(z) = 28*z + 85. Determine r(-5). -55 Let m(b) = -5*b - 49. What is m(-11)? 6 Let c(n) = -24405*n - 97622. Calculate c(-4). -2 Let n(o) = -345*o + 4116. Give n(12). -24 Let n(u) = 66*u + 1892. What is n(-27)? 110 Let b(t) = 25*t + 96. Give b(0). 96 Let r(n) = 3*n**2 + 57*n + 45. Determine r(-22). 243 Let w(b) = 11*b - 158. Calculate w(14). -4 Let o(g) = -9*g**2 - 16*g - 27. Determine o(-7). -356 Let v(o) = 10*o**3 + 8*o**2 - 36*o + 9. Give v(4). 633 Let l(s) = -2*s**2 - 9*s + 6. Calculate l(-2). 16 Let l(y) = y**3 + 15*y - 442. Calculate l(7). 6 Let t(h) = -h**3 + 175*h**2 - 5406*h + 805. What is t(135)? -5 Let u(j) = 6*j**2 + 5*j - 2. What is u(8)? 422 Let k(i) = -4*i**2 + 7*i - 3. Give k(5). -68 Let l(i) = 29*i + 78. Give l(-3). -9 Let i(b) = 74*b**2 - 510*b - 40. Calculate i(7). 16 Let g(v) = -1241*v - 43469. Determine g(-35). -34 Let x(m) = 103*m + 448. Give x(-5). -67 Let g(f) = 445*f - 7525. Determine g(17). 40 Let f(r) = 3*r**2 + 3*r - 72. Give f(7). 96 Let w(z) = -z**2 + 17*z + 393. Calculate w(-13). 3 Let p(h) = -19*h + 103. Calculate p(-2). 141 Let k(n) = 378*n - 4533. Give k(12). 3 Let x(v) = -v**3 + 48*v**2 + 1105*v + 1. What is x(65)? 1 Let i(l) = -l**2 - 6*l + 377. Determine i(16). 25 Let k(i) = -235*i + 1686. Give k(7). 41 Let y(d) = -33*d - 323. Determine y(-6). -125 Let w(n) = 4*n**3 - 6*n**2 - 6*n + 16. What i
{ "pile_set_name": "DM Mathematics" }
, -v = -y - 1. Let g(x) = -2*x**2. Let j be g(1). Let r be 15/10*j/(-9). Which is the second biggest value? (a) 0.1 (b) r (c) y b Let o = -6 + 9. Let i = 6 - 4. Let d = i - 1.5. What is the smallest value in d, o, 2/7? 2/7 Let f(j) = -j + 5. Let i be f(8). Let w be i/20 + 3/(-12). Which is the second smallest value? (a) w (b) 0.3 (c) 2 b Let z = -3.01 + 3. Let n = z - 1.49. Let i = 2 + n. Which is the third biggest value? (a) 5 (b) i (c) 4 b Let j = 0.8 + -0.3. Let b = -0.45 - -1.45. What is the biggest value in -5, j, b? b Let h = 24.36 - 28.3. Let q = -0.06 + h. What is the smallest value in -0.5, 5, q? q Let l = -98 - -95. What is the smallest value in -5, 5, l? -5 Let p = 14 - 184/13. Let s(q) = q**2 + 5*q - 2. Suppose -4*r = 20 + 4. Let l be s(r). Which is the third biggest value? (a) p (b) -2/5 (c) l b Suppose y = -1, -3*q - 4*y = -0*q + 1. Let z be 76/(-36) - -2*q. Which is the second biggest value? (a) -0.02 (b) 0.1 (c) z a Let p be -1 + 3 + -1 + 24/(-20). Which is the fourth smallest value? (a) -0.4 (b) 3/2 (c) -4 (d) p b Let i = 9468824/159 + -59552. Let y be (1/53)/(2 - 3). Let f = i + y. Which is the biggest value? (a) 2 (b) 4 (c) f b Let n = -70 - -63. What is the second smallest value in 2, 1/4, n, 0.5? 1/4 Let t be (-1 + 8/5)/1. Suppose 4*o - 2*o = -4*n + 30, -o + 5 = 0. Let l = 3.5 + 0.5. Which is the third biggest value? (a) n (b) t (c) l b Let q be (-76)/70 + 6/21. Let f = 1 + 2. Which is the second smallest value? (a) q (b) f (c) 3/2 c Let v be 9/2 + (-45)/30. Suppose 5*r + 10 = 3*g + 35, -2*r + 10 = v*g. What is the third smallest value in 1/6, 9, r? 9 Let g = 50 - 248/5. What is the second biggest value in -0.4, -4, g? -0.4 Let u = -29 - -26. What is the biggest value in u, 2/15, 5? 5 Let u = 1.3 + 0.7. Which is the smallest value? (a) -0.5 (b) 1/5 (c) u a Let g = 0.53 - 0.03. Let i = 0.4 - 0.9. Let v = g - i. Which is the third smallest value? (a) v (b) 0.4 (c) 2/7 a Let i be 4 + 52/(-16) - 1. Which is the second biggest value? (a) 0.4 (b) i (c) 3/7 a Suppose 0 = 3*a - 0*h + 3*h + 21, 0 = 4*a - 3*h + 7. What is the third biggest value in 5, a, 0.5? a Let v = -22 - -19. What is the second biggest value in v, 1/2, 1? 1/2 Let f = 379/5 - 75. What is the third smallest value in 2/5, f, 0? f Let p = 29 + -28. What is the smallest value in 3, -6, p? -6 Let j = 3 + -12. Let r = j - -13. Let s be (0 - 1 - 3) + 1. Which is the second smallest value? (a) s (b) 0.4 (c) r b Let f = -122 - -117.94. Let w = -17 + 17.06. Let t = w + f. Which is the third smallest value? (a) -0.1 (b) -2/7 (c) t a Let i be (-2)/10 - (-5 + 845/150). What is the third smallest value in 1, -0.1, -0.5, i? -0.1 Let f = -4.8 + 1.8. What is the second biggest value in f, -4, 0.05? f Let c = 48 + -49. What is the second biggest value in 0.06, c, -1/9? -1/9 Let k = 22 - 27. Which is the third smallest value? (a) -1.6 (b) k (c) -2/9 c Let t be (-24)/18*(-18)/8 - 0. Let j be (0/1 - 5)*1. Which is the biggest value? (a) t (b) -0.1 (c) j a Suppose g = 3*c - 5, 2*c + 2*c - 32 = -5*g. Let d = c - 2. Let m be d*1/2*-3. What is the biggest value in -1/10, -3/5, m? -1/10 Let d be 2/(-3 - 5/(-2)). Let t = 2 + d. Let n = -1 - 1/3. Which is the third smallest value? (a) t (b) -1/5 (c) n b Let r be -4*((-2)/12)/1. Let m = -1 - -1.04. Let x = 1.96 + m. Which is the smallest value? (a) -3 (b) r (c) x a Let i = -3.7 + -2.6. Let w = 2 + 4. Let d = w + i. Which is the second smallest value? (a) d (b) -0.1 (c) -3 a Let k = -7.35 + 2.8. Let a = k - -0.44. Let g = 0.11 + a. What is the second biggest value in -1, g, 1/3? -1 Let n = 0.06 - 0.47. Let w = 0.01 + n. What is the smallest value in w, -1, -3/8? -1 Let c = 94 + -848/9. What is the third smallest value in -3, c, 0.3? 0.3 Let r = 0 - 0. Let m be (-2)/4*2 + r. Let a = -17.3 - -17. What is the second biggest value in m, a, -2/13? a Let y = -1 - -0.5. Let g = -0.5 + y. Which is the third smallest value? (a) 0.4 (b) g (c) -3 a Let q = -19 + 18. Which is the biggest value? (a) q (b) 1 (c) 3 (d) -2 c Let a be 2/4 - 54/92. Let d be 4/(-10) + 2199/(-15). Let z be (-7)/(d/36) - 2. What is the third smallest value in z, a, -3? a Let a = -10 + 14. Suppose -2*v + 204 = -a*v. Let r = -514/5 - v. What is the biggest value in r, -0.4, -1? -0.4 Let a = 6 - -3. Let j = -6 + a. Let w = -23 - -28. What is the second biggest value in w, -5, j? j Let h = 0 - 1.9. Let p = 2 + h. What is the third biggest value in 0, 1, p? 0 Suppose -p - 3*p + 8 = 0. Let r be ((-48)/(-56))/(1*p). Which is the second smallest value? (a) 2 (b) r (c) -3 b Let g = 392/3 + -132. Let i = -0.4 + 0.3. Which is the smallest value? (a) i (b) g (c) -5 c Let q = -24 - -35. Let j = -8 + q. Let m = -15 + 12. What is the third smallest value in m, j, -5? j Let l = -13 + 12. Let z = 3/4 + l. Which is the smallest value? (a) 1/4 (b) 0.3 (c) z c Let n be (-10)/135*(3*-2)/1. Which is the fourth smallest value? (a) 0.01 (b) n (c) -5 (d) -3 b Let g = 26 + -31. Which is the second smallest value? (a) -1/9 (b) 1 (c) -3 (d) g c Suppose -3*u + 4*v + 18 = 0, -4*u + 0*v - 1 = 3*v. Let d = 0 + 38. Let o be u/(-3) - d/(-48). What is the third biggest value in -0.1, o, -5? -5 Let n = -19 - -19.18. Let u = n - -0.02. Which is the second smallest value? (a) u (b) -3 (c) 2 a Let z = -7326 + 36469/5. Let v = z - -32. Which is the third smallest value? (a) -2 (b) 2 (c) v b Let l = -177.9 + 178. Which is the biggest value? (a) 5 (b) 0.4 (c) l a Let k = 0.28 - 0.08. Let b = 3 - 7. What is the second smallest value in k, b, 0.1? 0.1 Let f = -0.54 + 0.64. What is the second biggest value in f, 0.5, -3? f Let z = 0.21 - 9.21. Let v = z + 13. What is the second smallest value in -1, v, -0.3? -0.3 Suppose -j + 0*j + 4 = 2*f, 4*j + 5*f - 4 = 0. What is the smallest value in j, -3, 5? j Let y = 24 - 23. Which is the third biggest value? (a) y (b) -0.2 (c) -5 c Let m = -0.3 + -1.7. What is the biggest value in m, 0, -10? 0 Let w = 33 + -33.3. Let l = -0.1 + -0.9. What is the smallest value in -4, w, l? -4 Let l = 0 + 2. Suppose 5*m = -2*s - s - 21, 0 = -4*m - s - 14. Let r be 0 + (-88)/(-28) + m. What is the second biggest value in l, r, 0? r Let p = -0.6 + 2.6. Let m(z) = z**2 - 4*z + 2. Let s be m(2). Which is the smallest value? (a) s (b) 5 (c) p a Suppose n - r - 13 = 4*n, -n + 4*r = 0. What is the second smallest value in n, 1/3, -2? -2 Let o(q) = -q**3 + 4*q**2 - 2*q - 1. Let l be o(2). Let s = -44 - -39. What is the third smallest value in s, 2, l? l Suppose 0*v + 9 = v. Let d be (3/v)/(1/6). Let n(s) = -s**3 + 3*s**2 - s + 1. Let l be n(d). Which is the second smallest value? (a) -2/23 (b) l (c) 2 c Let p = -1.5 - -1. Let u = -2.98 + -0.02. Let r = u + 3.5. What is the biggest value in r, 5, p? 5 Let j = -64 + 38. Let m = 26 + j. Suppose -6 - 3 = -3*g. Which is the third biggest value? (a) m (b) g (c) 0.2 a Let y = 243/5 + -49. Let j = 77.1 + -82. Let a = -5 - j. What is the second smallest value in 0.4, a, y? a Let r be ((-2)/(-6))/1*36/90. What is the second biggest value in r, 3, -0.2, 2? 2 Let d be ((-5)/45)/(2/3). What is the second biggest value in d, -0.2, 5? d Let w = 1 - -1.4. Let q = w + -2. Which is the third biggest value? (a) q (b) -0.3 (c) -2/13 b Let u be (-12)/30 - (-3 - -1)/30. Which is the smallest value? (a) -5 (b) -0.3 (c) u a Let s = 7.1 + -6.1. What is the third smallest value in 0.5, s, -11/6? s Suppose 1 = -y + 3. Suppose -y = f + f. Suppose -5*p + 4*s + 41 = 0, -2*s = -5*p - s + 29. Which is the biggest value? (a) -0.1 (b) f (c) p c Let r = 0.25 - -9.75. Let n = -9.6 + r. Which is the second smallest value? (a) n (b) -0.4 (c) -3 b Let b be 0*(-6)/(-12) - (-6)/4. Suppose -25 = -0*l - 5*l. What is the third biggest value in b, 4, l? b Suppose -h - 2*h - 15 = -3*u, 0 = u - 5*h + 11. Which is the smallest value? (a) u (b) 0.5 (c) 0.2 c Let n = -0.5 + 0.8. What is the third smallest value in -3, n, 3? 3 Let v = -42.33 - 1.67. Which is the third biggest value? (a) v (b) 5 (c) -1/6 a Let q = -0.39 - -0.09. What is the third smallest value in q, -2, 3? 3 Let o = 0.79 + -0.8. Let g = o + -0.39. Let k be ((-20)/18)/((-8)/(-6)). Which is the smallest value? (a) k
{ "pile_set_name": "DM Mathematics" }
4*f - 42 + 60. Let x be z(4). Solve -3*c - 7 = x for c. -4 Let f = -24690 - -24706. Solve -84*p + f*p - 544 = 0 for p. -8 Suppose -7*z = -6*z - 7. Let q be ((6 + -2)*z)/(2/3). Let b = -42 + q. Solve 3*y - y + 6 = b for y. -3 Let g(b) = b**2 - 15. Let m be g(5). Let l(n) = 15 + m - 7*n - 2*n**2 + n**2 + 12*n. Let c be l(8). Solve 0*d + c = -d for d. -1 Let a = 7956 + -5916. Solve -2034*c = -a*c - 18 for c. -3 Suppose 14 = 35*k - 30*k - 4*q, 5*k = -q + 9. Let h(u) = -u**2 + 8*u + 14. Let c be h(0). Solve -4*j + k + c = 0 for j. 4 Let z = 76 + -69. Suppose -z = d - 11. Suppose -u - 10 = -l + d*u, l + 2*u = -4. Solve 5*s + 20 = -l*s for s. -4 Let k = 2293 - 2270. Solve -k*r = -6*r for r. 0 Let g = 1041 + -1035. Solve 87*h - 85*h + g = 0 for h. -3 Let v = -554 + 454. Let c be v/(-32) - 9/72. Solve c = 7*z - 4 for z. 1 Let v(r) = -r**2 - 2*r + 4. Let m be v(-4). Let b be (-20)/(-16)*(0 - m). Suppose -2*g - 6 = -b*g. Solve -2*x = g*x - 20 for x. 5 Let i(q) = 3*q**2 - 20*q + 16. Let b be i(6). Suppose 4 = -2*o + 10*p - 5*p, b*p = -3*o + 40. Solve 0 = 2*v - o + 18 for v. -5 Let m be 58*((-25)/10 + -2). Let l = 261 + m. Solve -g + 1 - 2 = l for g. -1 Let n = 8817 + -8790. Solve -9*y = 18 - n for y. 1 Suppose -5*d - 6*w + 287 = -7*w, 2*d - 118 = 2*w. Solve 40 = 65*a - d*a for a. 5 Let j = -4 + 11. Let m(l) = -6*l - 98. Let s be m(-18). Let h = j + s. Solve -2 + h = 3*c for c. 5 Let a be (-66)/(-55)*1280/48. Solve 4*b - 12*b - a = 0 for b. -4 Suppose 475*z = 450*z + 1555 + 1570. Solve 126*n - z*n + 6 = 0 for n. -6 Let z be -6 + 10 + (5 - 1) + -2. Suppose -12 = 4*v, 4*v = 3*g - z - 6. Solve g = 5*s - s for s. 0 Suppose -19 = -5*d - 2*s + 11, -d - 5*s + 6 = 0. Let a be -6*(((-17)/d - -2) + 0). Solve -a*l + 4*l - 3 = 0 for l. -3 Let o be 2*(5 - 2)/(-3). Let k be o/6 + (-406)/(-21). Solve -7 + k = 6*z for z. 2 Let j(b) = -2*b**2 + 141*b - 882. Let c be j(7). Solve 0 = c*w - 17 - 11 for w. 4 Let t be -5*(-5 + (-6 - -12)) - (2 + -7). Let k = 23 + -15. Solve t = k*c - 1 + 9 for c. -1 Let p(u) = u**3 - u**2 + 2*u + 2. Let m be p(0). Suppose 7 = 3*n - m*k, -3*k + 33 = 2*n + 11. Let d(g) = -4*g**3. Let f be d(-1). Solve n*h - 9 + f = 0 for h. 1 Let q(y) = y**2 + 10*y - 33. Let z be ((-26)/(-1))/(6*12/(-36)). Let n be q(z). Solve -n*w + 5*w - 3 = 0 for w. -3 Let s be 14 + 0 - (-1 + 0). Let f be (-53)/106 + (-10)/(-4). Let w be f/(-22) - (-2)/22. Solve w = t + 4*t - s for t. 3 Suppose -27*g - 107*g + 22646 = 0. Solve -g*j + 18 = -166*j for j. 6 Let h(l) = -2343068*l**2 - 36*l + 2 + 2343066*l**2 - 8*l. Let b(a) = -a**2 + 3. Let m be b(-5). Let j be h(m). Solve 0 = -j*q + 8 for q. 4 Let j(k) = k - 30. Let c be j(26). Let f be (-18)/(-3) + 24/c. Solve f*s - 5*s = -5 for s. 1 Suppose 232 = 3*u + 166. Solve 0 = -u*c + 43 - 131 for c. -4 Let z be ((-2)/4)/((-126)/(-16) - 8). Suppose -3*l + 5 = 5*r, -z*r - 63 + 13 = -3*l. Solve l*h + 6 = 8*h for h. -3 Let l(r) = -r**3 + 9*r**2 - 19*r - 3. Let p be (-2)/6*5*-3. Let f be l(p). Solve f*w + 20 = -2*w for w. -5 Let p be 2 + -1 - 2 - -2. Let i = 864275 + -864273. Solve i*t = -p + 3 for t. 1 Let l(b) = -9*b + 99. Let v be l(11). Solve -a + v + 6 = 0 for a. 6 Let g(a) = -4*a - 18. Let y be g(-5). Suppose 0 = -4*k - 9 - 7, -j - y*k = -1. Suppose -2*i + j*i = 7. Solve 2*d + i = 3 for d. 1 Let w = -338 + 347. Let x be 2 - (w/(-54) - 2/(-12)). Solve x*i + 12 = 6*i for i. 3 Let f be (-4)/(-34) + 9030/119. Solve 0 = f*r - 9*r + 134 for r. -2 Let o(a) = 21*a + 6. Let j be o(2). Suppose j = 3*r + 6. Suppose r*m = 15*m - 3. Solve 0 = -m*q - q for q. 0 Suppose -556 = -5*i + 2*u, -18*u + 110 = i - 19*u. Suppose -11*d - i = -332. Solve -5 + d = -5*s for s. -3 Let q(z) = -4*z + 63. Let h = 7 - -8. Let r be q(h). Solve 0 = -5*v + r*v - 8 for v. -4 Let d(y) = -y**3 - 26*y**2 - 26*y - 45. Let u be d(-25). Let n be (u/4)/(-5) - (-1 + -1). Solve 4 = -n*m + m for m. -2 Let j = -38 + 52. Suppose p + j = 2*f + 3*p, 3*p - 27 = -5*f. Solve -6*t = -f*t - 6 for t. 2 Suppose -3*j + 0*j - 2*k = -109, 5*j + 3*k = 183. Solve 8*r + 55 = j for r. -2 Let a(f) = 11*f**2 + 4*f - 4. Let k be a(1). Suppose -7*u + k*u + 16 = 0, -5*c = 2*u - 67. Solve 15*n - c = 10*n for n. 3 Let m = 4696 - 4657. Solve -4*w - m*w = -387 for w. 9 Suppose k - 13 = -5*a, 3*a - 6*a = 2*k - 12. Suppose 0 = 10*t - k*t. Suppose t = 4*m - 14*m + 30. Solve m*p + 5 = 14 for p. 3 Let z be (-930)/(-4) + (-5)/10. Let a = z + -229. Solve 0 = -2*w + 5*w + a for w. -1 Let s(r) = -r**2 + 9*r - 3. Let h be s(8). Suppose 0 = -4*o - 0*o - 16, a + 2*o = h. Solve 3 + a = -4*p for p. -4 Let v be (4/(-6))/(198/297) + 302. Solve -5*r + 296 = v for r. -1 Let k = 463 + -461. Let z be -2 + -1 + (k - 28/(-4)). Solve 12*j - 10*j + z = 0 for j. -3 Let s = -351 + 354. Let p be s + (7 - 11)/(-2). Solve -p*i = 2*i + 21 for i. -3 Let q be 3 - 213*(-7 + 6). Let u = 219 - q. Solve -4*x = -u*x for x. 0 Suppose 39 - 41 = -b + 3*g, 8*g = b + 3. Suppose w + w = 72. Solve -b*i - w = -56 for i. 4 Suppose 0 = -5*h - 3*a, 18*a = -28*h + 27*h. Solve 14*q - 32 - 52 = h for q. 6 Suppose -5*y + 3*q = -2*y + 15, q - 41 = 5*y. Let l be (-2)/(-18)*(0 - y). Let m be (-2 + 4 + 5)*l. Solve -4*w + 5 = -m for w. 3 Let m(v) = -v**3 - 7*v**2 - 5*v - 15. Let y be m(-7). Suppose y*o + 416 = 36*o. Solve 0 = o*d - 29*d for d. 0 Let a = -3083 - -3085. Let l be 76/2*(-3)/(-6). Solve l = a*p + 9 for p. 5 Let s = -268 - 228. Let n = s - -497. Solve 0 = -b + 4 + n for b. 5 Suppose 401*p - 462 = 335*p. Solve -153*t + 152*t = -p for t. 7 Let d be -4*((-289)/12)/((-52)/(-156)). Solve 277*p - 84 = d*p for p. -7 Suppose -25 = -6*r + r. Let k(b) = -r + 11*b + b**2 + 3 + 26. Let s be k(-8). Solve -2*f + s = 6 for f. -3 Suppose 5*l - 2*o + 1250 = 0, -l + 6*o = 11*o + 223. Let n = -244 - l. Solve n*m + 3 = -1 for m. -1 Let p(h) = -h**2 - 36*h + 318. Let l be p(-42). Solve 74*j = l*j + 8 for j. 1 Let n(m) = 4*m - 4. Let c be 4 + (-25 - 2) - 1. Let l be (-28)/c - (-2)/(-12). Let z be n(l). Solve z*i - 16 = -4*i for i. 4 Let a be (19 - 117/13) + 52*3. Solve -18*g - a = -76 for g. -5 Let z be ((-8)/10)/(3/(-15)). Let h = -1590 - -1606. Solve h*c + z = 12*c for c. -1 Let m be (-1 + -55)/(6 + -7). Suppose -4*z - m = -4*v, v + z - 40 = -4*v. Suppose -133 = -27*g + 8*g. Solve -g*x = -4*x + v for x. -3 Let r(a) = -a**2 + 29*a + 98. Let o be r(32). Solve 21*g = o - 2 for g. 0 Suppose d = 2 - 9. Let v(w) = -w - 2. Let p be v(d). Let s = -62 + 66. Solve -s*r = -p*r for r. 0 Let u be ((-583 - (-64)/8) + -2)/((-4)/8). Solve -1159*i - 15 = -u*i for i. -3 Let y = -44 - -51. Suppose -3 = 4*g - y*g. Let i(n) = 9*n**2 - 3*n + 2. Let j be i(g). Solve 0*d = -2*d - j for d. -4 Let v = -178 - -190. Suppose -32*j - v = -34*j. Solve -u = j - 10 for u. 4 Let f = 1186 - 973. Solve 0 = -4*x - 229 + f for x. -4 Suppose 9*i - 9373 = -2118 + 2690. Solve -i*s + 1111*s = 12 for s. 2 Let o(d) = -d**2 - 69*d - 584. Let f be o(-10). Solve -35*x - f*x - 7*x = 0 for x. 0 Suppose 2*n - 17 = -3, -2*b + 3*n = -4057. Solve -b*k + 2031*k + 32 = 0 for k. 4 Suppose 2*x - x = s - 3, 3*s - 2*x - 8 = 0. Suppose l - s = -0. Let h(y) = y + 54. Let a be h(-50). Solve -a*m + l = 10 for m. -2 Suppose 0 = -2*z - 3*n - 33, -4*z + 0*n - 42 = -2*n. Let v be -2 - (z - (-1 + -3)). Suppose u + 3*k - 3 + 8 = 0, 5*k + 31 = 4*u. Solve -18 = -u*w - v for w. 3 Suppose -3*q + 3*t + 12 + 9 = 0, -4*t - 20 = 0. Suppose 68 = 15*n + q*n. Solve 0*s + n*s + 20 = 0 for s. -5 Suppose 4 + 20 = 2*y. Let w(x) = -3*x**2 + 30*x + 2. Let l be w(10). Solve -l*p = 2*p + y for p. -3 Suppose -4*p - 316 = 4*l, -3*p - 217 = 2*l - 4*l. Let c = -75 - p. Suppose -6*y + 10 = -y. Solve c = -y*f - 2 - 4 for f. -3 Let w(d) = d**2 + 62*d + 356. Let x be w(-56). Solve -17 + 77 = -x*s for s. -3 Let j be (-5)/(2/7 + (-171)/525). Let a = 202 - 81. Let c = j - a. Solve -c*n = -6*n for n. 0 Let h be 99 + -27 + (2/(-14) - 272/56). Solve 8 = -65*g + h*g for g. 4 Let t be -6 - -68*4/8. Suppose -t = 74*l - 81*l. Solve l*u + 8 = -0*u for u. -2 Let g(w) = 13*w**2 + 15*w + 12. Let x be g(-1). Solve 4*h + x = 9*h for h. 2 Let t(s) = s**3 - 13*s**2 - 14*s + 2. Let j = -4 + 18. Let n be t(j). Suppose r + 0 = 2. Solve n*o = -4 - r for o. -3 Suppose 25 = 10*v + 5. Let i be v/4*32/4. Let x(g) = -g - 9. Let t be x(-13). Solve 0 = -t*k + i for k. 1 Let w be (-155)/(-186
{ "pile_set_name": "DM Mathematics" }
s digit of l? 2 Suppose 0*i = 5*n + 2*i + 14, n - 4*i + 16 = 0. Let w = n + 16. What is the units digit of w? 2 What is the units digit of 7/((-56)/160 - (-4)/10)? 0 Suppose 53 = 5*i - 57. Suppose y - i = -5. What is the tens digit of y? 1 Let d be (-164)/(-16) + (-1)/4. Suppose f + q = 4*f - d, -5*f = -2*q - 16. Suppose f*g - 32 = -b + 4*b, -5*g - 3*b = -40. What is the units digit of g? 8 Let n = -51 + 86. What is the tens digit of n? 3 Let x = -31 - -53. Suppose j = m - j - x, 5*j + 31 = m. What is the tens digit of m? 1 Let v(h) = -h**3 - 5*h**2 + 2. Suppose 20 - 5 = -3*c. Let f be v(c). Let p = 3 - f. What is the units digit of p? 1 Let l(r) = 35*r**3 + 1. What is the tens digit of l(1)? 3 Suppose 0*s = -2*s + p + 227, 3*p = 2*s - 225. What is the hundreds digit of s? 1 Suppose -4*c = 3*z - 28, z + 12 = -c + 5*z. What is the units digit of c? 4 Let b = -20 + 41. Suppose -4*k = 4*f + 12, -k - 5*f = -2*k + b. What is the units digit of k? 1 Let c be (1 - 3/6)*-68. Let v = c - -55. What is the tens digit of v? 2 Let n(d) = d - 2. What is the units digit of n(4)? 2 Let s(m) = -m**3 - 8*m**2 - 7*m + 8. What is the tens digit of s(-8)? 6 Let y = -19 + 28. Let z be 11/y - (-4)/(-18). Let l = 0 + z. What is the units digit of l? 1 What is the units digit of (474/30)/((-3)/(-15))? 9 Suppose 3*s + 15 = 0, -3*l - 9 = -2*s + 5*s. Let p be (2 - l - -2) + -24. What is the units digit of (-10)/(-55) - 282/p? 3 Suppose -2*r - 2*u = -0*u - 42, 4*u = 12. Suppose j + 4*j = 2*z - r, 5*j + 22 = -2*z. What is the units digit of (2/6)/(z/(-6))? 2 Let b be (-1 + 0)/(6/(-12)). Suppose -m + 3*h + 13 = h, -b*h = m - 29. What is the units digit of m? 1 Suppose -340 + 1187 = 5*t - 2*z, 506 = 3*t + z. What is the hundreds digit of t? 1 Suppose -2*f - 2*p = -220, -4*f + 3*p = -9*f + 550. What is the tens digit of f? 1 Let s be (-5)/((-3)/(6/2)). Suppose 3*x - 13 = w + 96, 176 = s*x + 4*w. What is the tens digit of x? 3 Let s(h) = h**2 - h + 9. Let n be -1 + (-1 - -1) + 1. What is the units digit of s(n)? 9 Let t be (-88)/(-4)*3/(-2). Let a = 75 + t. What is the units digit of a? 2 Let i = -100 - -197. What is the units digit of i? 7 Suppose 0 = 6*j - j - 50. What is the units digit of j? 0 Let x = 13 + -2. Suppose -2*m + x = -7. What is the units digit of m? 9 Let s(p) = 6*p - 9. Let v be 1/3 + 34/6. Let n be s(v). What is the units digit of 2/3*n/6? 3 Suppose 12*s - 1608 = -0*s. What is the tens digit of s? 3 Let t(u) = -u + 3. Let m = 5 + -3. Let k be t(m). Let y = 0 + k. What is the units digit of y? 1 Let c be (6 - 6)*(-2)/4. Suppose k = -c*k - 4*r + 24, -4*r = 3*k - 32. Let j(d) = 2*d + 5. What is the tens digit of j(k)? 1 Let h(r) = 4*r**3 - 2*r**2 - r - 1. What is the units digit of h(2)? 1 Suppose 0 = -n + 2*m - 20, -n + m - 13 = 7. Let d = 5 - n. What is the tens digit of d? 2 Suppose 4*v - 12*v + 3296 = 0. What is the tens digit of v? 1 Suppose 2*s - 5*u - 24 = 6*s, 5*u = 2*s - 18. What is the units digit of 1/(-3*s/39)? 3 Suppose -5*g = 0, 350 = 5*h + 2*g - 3*g. What is the units digit of h? 0 Suppose -3*v = 7*v - 1110. What is the units digit of v? 1 Suppose 0 = -5*y + 6*f - f + 15, -2*y = -3*f - 9. Suppose y = -w - w + 2. What is the units digit of w? 1 Suppose 0 = -o - 2*o + 135. Suppose -o = d - 4*d. What is the tens digit of d? 1 Let k(o) = -47*o - 12. What is the units digit of k(-2)? 2 Let k = -1 + -2. What is the units digit of (2 - k) + (2 - 4)? 3 What is the tens digit of 42 + (3 + 1 - 2)? 4 Let k = 1 - 4. Let z be (5/k)/((-6)/126). Suppose 2*c + 14 = -3*l + z, -l + 24 = -5*c. What is the units digit of l? 9 Let h(c) = c**3 - c + 10. Let k be ((-4)/8)/((-1)/(-4)). Let l be (0/k)/(1 + 1). What is the tens digit of h(l)? 1 Let l = -132 - -200. What is the units digit of l? 8 Let m(i) = 2*i**3 - 7*i**2 + i + 5. What is the units digit of m(5)? 5 What is the hundreds digit of 4 - 4*-59 - 2? 2 Suppose 0 = -0*d + d - 5. What is the units digit of d + -4 + 3/1? 4 Let l = -32 + 48. Let s = -9 + l. What is the units digit of s? 7 Suppose 5*p - 8 = 17. Let j = 10 - p. What is the units digit of j? 5 Let s = -51 - -84. What is the tens digit of s? 3 Suppose 3*h - 14 = 4*v + 15, -4*h + 24 = 2*v. What is the units digit of h? 7 Let m = -4 - -10. What is the units digit of m? 6 Suppose -q + 4*k = -31, 0*q - 5*k = 4*q - 103. Suppose 5*f + 1 = -4*x, 2*x - f = 2*f + q. What is the tens digit of 22/(-8)*(2 - x)? 1 Suppose -9*v - 8*v = -1649. What is the units digit of v? 7 Suppose -z - 2*z + 197 = -5*x, x - 291 = -5*z. Let a(n) = 2*n - 3. Let u be a(4). Suppose -2*v - u*q + 40 = 3, -4*v + z = 5*q. What is the units digit of v? 1 Let u(w) = -w**2 + w + 23. What is the units digit of u(0)? 3 Let k(z) = -3*z. Let g be k(-1). Suppose 1 = 2*l - g*u, -2*l + 3*u = 3*l - 16. What is the units digit of l? 5 Suppose l + 3 = -1. What is the units digit of (14/l + 2)*-8? 2 Let i be -1*(138 + 2)/(-2). What is the units digit of 2/8 + i/8? 9 Let l be -2*((-15)/3 + 2). Suppose 2*t = -a + 2, 2*t + l = 3*a + 3*t. Suppose -s + 6 = a. What is the units digit of s? 4 Suppose 4*b - 10 = 58. What is the tens digit of b? 1 Let p = 141 - 95. What is the units digit of p? 6 Suppose -i - 2*j = -7*j - 31, 4*i + j = 124. Suppose -4*u + 57 = -i. Suppose -u = -2*r - 2*b, r - 3*b + 3 = 2. What is the units digit of r? 8 Let o(m) be the third derivative of -m**4/8 + m**2. What is the units digit of o(-2)? 6 Let z(g) = g + 5. Let b be z(-6). Let f = 2 - -1. What is the units digit of b/(f/3) + 6? 5 Suppose -2*z + 9*z = 2604. What is the hundreds digit of z? 3 Let j(a) = a**2 + 2*a + 3. Let u be j(-2). Suppose 0*r - 45 = -u*r. What is the tens digit of r? 1 Let k = -50 + 72. What is the units digit of k? 2 Let m(n) = -n**3 + n**2 + n + 1. Let j be m(0). What is the tens digit of ((-4)/5)/(j/(-15))? 1 Suppose 0 = -2*a + w + 260, -2*a - 70 = 3*w - 322. What is the hundreds digit of a? 1 Suppose 5*f = 21 + 4. Suppose -4*i = f*b - 49 - 12, 3*b - 2*i = 19. Suppose -6 = -5*g + b. What is the units digit of g? 3 What is the units digit of (-61 - -4)/(-3) + 0? 9 Suppose 12*q - 17*q + 165 = 0. What is the units digit of q? 3 What is the units digit of (74/(-4))/(1/(-2))? 7 Suppose n - 8 = 1. What is the units digit of n? 9 Suppose -2*c + 9 - 3 = 0. Suppose -4*u = c*i - 40, 3*i - 8*i = 3*u - 74. What is the tens digit of i? 1 Suppose -538 = -3*b - 2*z + 6*z, 0 = b - 5*z - 194. What is the hundreds digit of b? 1 Suppose 3*b + 0*b - 39 = -3*a, -5*a - 3*b = -75. What is the tens digit of a? 1 Suppose 0*k = 5*k - 65. Suppose 0 = -7*g + 2*g - 3*v + 20, -2*g = -4*v - 8. Suppose g*w = -5*q + 2*q + 16, -2*q = 3*w - k. What is the units digit of w? 7 Let w = 1 + -1. Let s(u) = 5*u**2 - 5*u**2 + u**2 + 10. What is the units digit of s(w)? 0 Suppose 3*o - 22 = 5*l, 0 = 4*l + 14 + 6. What is the tens digit of (-2)/((-2)/9) - o? 1 Let j(d) = -11*d. Suppose -40*l + 6 = -43*l. What is the tens digit of j(l)? 2 Let p = -3 + 15. Suppose p = -0*t + 3*t. What is the units digit of t? 4 Let t = -150 + 251. What is the tens digit of t? 0 Let c(h) = 0*h + 5*h - 4*h + 10. What is the units digit of c(-7)? 3 Suppose -v = 4*x - 15, -v - 2*v - 4*x = -13. Let p be -1 - (2 - (-5)/v). Suppose 3*w = -5*m + 28, 5*m - p*m - 6 = 0. What is the units digit of w? 6 Suppose 0 = -3*p + 4*v + 113, 0 = -0*p - 4*p + 3*v + 139. What is the tens digit of p? 3 Let x(h) = -h**3 + 5*h**2 - h - 1. Let g be x(5). What is the units digit of (-3)/6*g - 2? 1 Let q = 2 - 4. Let d be 4/(-8)*24/q. Suppose 2*m - d = -0*m. What is the units digit of m? 3 Suppose 2*i + 120 = 3*z - 21, 0 = 3*z + i - 132. Suppose 4*q - z = -q. What is the units digit of q? 9 Let l = 3 - 3. Suppose -3*u = 3*a + a - 69, l = 2*a + 3*u - 27. What is the tens digit of a? 2 Suppose -2*q + 7*q = 60. What is the units digit of (q - 3/(-1)) + -2? 3 Suppose i = 2*i + 1. Let j = i - -4. What is the tens digit of (-1 + 0)/(j/(-30))? 1 Let r(k) = 3*k + 3. What is the tens digit of r(4)? 1 Let t = 113 + -81. What is the tens digit of t? 3 Let p = 4 - 1. Suppose -p*v - 1 = -3*z + 5, 0 = 2*v - z. What is the units digit of v? 2 Let x(v) = v**3 - 5*v**2 + v - 1. Suppose u + 3*i + 40 = 6*u, 3*u - 30 = 3*i. Let z be x(u). Suppose -3*n + z = -n, 14 = r + 2*n. What is the units digit of r? 0 What i
{ "pile_set_name": "DM Mathematics" }
Let f = 4 - 7. What is the second smallest value in u, t, f? u Let f be (-4)/(-30) + 4/(-5). Let j = 1 + -1.5. Which is the third biggest value? (a) f (b) j (c) 4 a Let m be (-176)/(-22)*1/18. What is the third smallest value in m, -5, -2, 0.4? 0.4 Let r = 321 - 2885/9. Let n be 10/(3*2/12). Let m be (2*(-6)/n)/1. Which is the third smallest value? (a) r (b) m (c) -0.4 a Let h(s) = -9*s - 3. Let l(u) = u**2 - u. Let z(o) = h(o) + l(o). Let x be z(10). Which is the third smallest value? (a) 1/5 (b) x (c) -0.2 a Let s(q) = -q**3 - 12*q**2 + 13*q. Let f be s(-13). Which is the third biggest value? (a) f (b) 7 (c) -0.3 c Let o be (1 - 0)/((-1)/5). Let r be 4/6*(-54)/(-396). What is the second smallest value in o, r, -1/2? -1/2 Let n be -2*(-5)/(-55)*-1. Which is the second smallest value? (a) n (b) -2/23 (c) -4/9 (d) -0.3 d Let i(q) = -q + 8. Let r be i(0). Let h be (-4)/r - 1/(-4). Let j = -1/50 - -103/150. What is the second biggest value in 0.2, h, j? 0.2 Let w(j) = -j**3 + 5*j**2 - 2*j + 7. Let x be w(5). Which is the second smallest value? (a) 7 (b) x (c) 4 c Let r be (-4)/7*(-7)/(-2). What is the third smallest value in r, 5, -5? 5 Let y = -3/73 - -100/657. Let k = 3.1 - 3. Let l = -459 + 461. Which is the biggest value? (a) y (b) l (c) k b Let x = 191 - 195. Which is the second smallest value? (a) -11 (b) -0.3 (c) -0.5 (d) x d Let i = 1872/11 - 170. Let m = 0.18 + -0.1. Let h = m - 0.18. What is the third smallest value in i, h, 0.3? 0.3 Let w be 2/2 + 9/(-36). Which is the second smallest value? (a) 0.1 (b) 4 (c) w c Let o be -1 + 1/12 - (-72)/108. Which is the third biggest value? (a) o (b) -0.3 (c) -1 c Let j = 75.1 - 71. Let m = -1.1 + j. What is the third biggest value in -3, m, 0.5? -3 Suppose 6*j + 50 = j. Let d be ((-4)/j)/(12/20). Let g = 0.1 + 0. Which is the second biggest value? (a) 2 (b) d (c) g b Let m be ((-6)/8)/(-3)*(-20)/35. Which is the fourth biggest value? (a) 3/16 (b) -0.3 (c) m (d) 3 b Let x be (-21)/(-12) - (6 + -5). What is the smallest value in x, -4, -1/3, 0.5? -4 Let w be ((-27)/(-44))/(18/48). Let t = 155/88 - w. Which is the third smallest value? (a) t (b) -2 (c) 2 c Let y = -0.2 + -2.8. Let a = 347/5 - 69. Let f(j) = -j - 1. Let i be f(-5). What is the smallest value in a, i, y? y Let q = -6.6 - -5.9. Which is the third smallest value? (a) 1/7 (b) -0.5 (c) q (d) -1/3 d Let i = -0.4 + 1.4. Which is the biggest value? (a) -5 (b) i (c) 5 c Let r = 40 + -35. What is the biggest value in r, -4, -3/7, -5? r Let d = -2.6 - 0.4. Let u = d + 5. Let y = u + -2. Which is the third smallest value? (a) 4/5 (b) 3 (c) y b Suppose -w = -4 + 16. Let l be (-4)/(-25)*30/w. Which is the biggest value? (a) -0.03 (b) 2 (c) l b Let f(t) = t**3 - 7*t**2 - 30*t - 1. Let u be f(10). What is the smallest value in u, 0.1, 9/8? u Let z = -6.7 + 7. Let v = z - -0.7. Let p be 0 + ((-18)/21 - -1). What is the second smallest value in p, v, -5? p Suppose -2*p - 2*g = 0, -2*g + 12 = 2*p - 6*g. Let d = 9 - 14. Let y be (-24)/63*(-12)/(-16). What is the second biggest value in y, p, d? y Let l = 4 + -3.8. Let x = -86 - -259/3. Let f = -3 - -2.5. Which is the second smallest value? (a) f (b) l (c) x b Let x = 1.01 + -1.11. Which is the fourth smallest value? (a) x (b) 0 (c) -2 (d) -0.8 b Let i = -5 - -5.2. Let o = -53/45 + 7/5. Let s = o - 35/36. Which is the biggest value? (a) s (b) -0.1 (c) i c Let l = 54.3 - 54. Let d = -333/3530 - 2/353. What is the biggest value in l, 2, d? 2 Let v = 145/6 + -65/3. Let z = 0.01 + 7.99. Let a = z - 9. What is the second biggest value in a, v, -3? a Let a be (-3 - 52/(-20))/(28/(-35)). Let y = 1/26 - 31/130. What is the second smallest value in a, 2, y? a Let m = -4.7 + -0.3. Let x = 5.1 + m. What is the smallest value in -2/3, x, -0.3? -2/3 Let h = -1 - 2. Suppose 5*j + 16 = -9. Let i(x) = -x**3 - 6*x**2 - 5*x - 2. Let d be i(j). Which is the smallest value? (a) h (b) -5 (c) d b Let i = 1.2 - 1.3. What is the second biggest value in i, 0.5, 3? 0.5 Let f = 0.3 + 0. Let k = 52 + -20. Let m be -2 - 38*(-2)/k. Which is the third biggest value? (a) m (b) f (c) -0.2 c Let a be (768/14 - -1)/1. Let h = 56 - a. What is the third smallest value in h, -2, 4? 4 Let u = 5 + 0. Let y = -45.2 - -23.1. Let r = 22 + y. Which is the biggest value? (a) u (b) r (c) 0 a Let l(i) = i**2 + 5*i + 6. Let t be l(-6). Suppose -y - t = 3*y. What is the third smallest value in -2/9, 2, y? 2 Let t = 80/3 - 27. What is the third smallest value in -0.06, t, 1/2? 1/2 Let r = 9.1 + -9. Which is the second smallest value? (a) -3 (b) r (c) -1/7 c Let g = -0.06 - 2.94. Let h = -0.19 + 2.99. Let u = h + g. Which is the smallest value? (a) -2 (b) u (c) 1/2 a Suppose 5*m - 2*m = -2*l + 13, 4 = -l + 2*m. Let g = -9.8 + 10. What is the biggest value in l, 1/4, g? l Let b = 7.4 + -8. Let i = b + 0.2. Let f = -13 + 9. What is the second smallest value in f, i, 5? i Let k = 7 + -25/4. Let r = 2.6 - 3.3. Which is the second biggest value? (a) r (b) 4 (c) k c Let j = 0.5 + -0.8. Let h = -2.08 + -0.62. Let g = j + h. What is the second biggest value in -0.5, -5, g? g Suppose 4 = 2*n - 4*t, -3*n - t + 6 = 4*t. Let s be 2/(-2) + (-2 - -4). Let j = s + 3. Which is the third smallest value? (a) -1 (b) n (c) j c Let j = 0 + 0.3. Let s = 0.0428 - 0.5428. Which is the biggest value? (a) j (b) -0.2 (c) s a Suppose 3*a = -2*f + 12, 6*a - 4*a - 8 = -3*f. Suppose -o + 5 = 5*g, o + f*g - 1 = -3*g. What is the second biggest value in o, -2/9, 3? -2/9 Let h = -126 - -126. What is the biggest value in h, -0.5, -0.4, 5? 5 Let h = -2.2 + 2. Let y be -2*(-1 - 5/(-4)). Let n = 2 + -2.3. What is the second smallest value in h, y, n? n Let l = -3.05 + 0.05. Let u = -3.3 + 2.3. Which is the smallest value? (a) -0.5 (b) u (c) l c Let w = -0.12 + 7.12. Let l = 6.6 - w. What is the second biggest value in 4, -4, l? l Let g(q) = -5*q - 17. Let v be g(-13). Let r be v/26 - 4/2. Which is the third smallest value? (a) 5 (b) 0.1 (c) r a Let i = 0.6 - 0.6. What is the third biggest value in -4, -0.4, i? -4 Let k = -7/2 - -4. Let j = 0.22 + -0.62. What is the second smallest value in -1/2, k, j? j Let z = 29/3 + -9. Let i(m) = m - 4. Let w(y) = -y + 1. Let t(x) = i(x) + 2*w(x). Let u be t(-5). Which is the biggest value? (a) z (b) -3 (c) u c Let h = -1.44 - -4.39. Let k = h - -0.05. Let x be ((-28)/(-6) + -4)/(-3). What is the second smallest value in k, 0, x? 0 Let z = -0.27 - -0.3. Let d = z - 0.43. Which is the biggest value? (a) d (b) -4 (c) 1/3 c Let o = -139.12 - -144. Let h = 0.06 - 0.18. Let g = h - o. Which is the smallest value? (a) 2/9 (b) g (c) -2/7 b Let y be (-304)/6*(-3)/(-66). Let t = y - -18/11. Which is the smallest value? (a) -1/2 (b) -0.3 (c) t c Let k(d) = -d - 10. Let o(z) = -4*z - 39. Let n(c) = -9*k(c) + 2*o(c). Let a be n(-16). Let l = 1 + -1. What is the second smallest value in l, 2, a? l Let h = -17 - -21. Which is the smallest value? (a) 2 (b) h (c) -1/3 c Let g = -0.24 - -0.34. Let l be (-1)/(-3) - (0 + 1). Which is the third biggest value? (a) g (b) l (c) -1 c Let y(g) = g**2 - 9*g + 2. Let z be y(9). Let s = 5 - 1. Suppose -4 = z*t + s. What is the third biggest value in t, -0.1, 0.3? t Let f be (1971/60)/((-6)/(-4)). Let r = f - 22. Let w be (1 - (-2 - -1))/(-6). What is the third biggest value in w, r, 0.3? w Let l be 2/6 + (-410)/(-12). Let i = l - 36. Let m = -8/5 - -29/15. What is the second smallest value in i, -5, m? i Let k be 172*(0 + (-38)/28). Let b = k - -234. What is the second smallest value in b, 2/3, 2/7? b Let d be ((-6)/4)/((-6)/(-12)). Let p = 0.3 + -5.3. What is the third biggest value in p, d, -1? p Suppose -w + 1 = -2. What is the smallest value in 11, -4/7, w? -4/7 Suppose -z - 2*j = z - 30, 0 = 5*j + 15. Suppose 5*x = -7 - z. Let w = -8 - x. Which is the second biggest value? (a) -2 (b) w (c) -1/2 a Let g = 52 - 53. Which is the third smallest value? (a) -9 (b) -3 (c) -5 (d) g b Let t = -0.4 - -0.8. Which is the smallest value? (a) 0.06 (b) t (c) -2/11 c Let z = 17.3 + -17. What is the biggest value in z, -3, 1/5? z Let j = -3 + 3.3. Let n = 2.8 - 2.9. What is the third biggest value in n, j, 2/19? n Let
{ "pile_set_name": "DM Mathematics" }
6 = 2*d, 3*o - 435 = 5*d - 1554. Suppose 5*i = 5*v - 6*v + 552, -4*i + 442 = v. Let f = d - i. Is 36 a factor of f? False Suppose 5752 = -3620*p + 3622*p. Is 7 a factor of p? False Let b(y) = -2*y**3 - 88*y**2 + 63*y + 156. Is b(-45) a multiple of 9? False Let a = 46 + -31. Let j be -108*(-3 + a/6). Suppose -8*h - j = -9*h. Does 18 divide h? True Suppose -219*c + 943767 = -76*c + 292402. Is c a multiple of 24? False Let k(c) be the third derivative of c**5/10 + 19*c**4/24 - 41*c**3/2 + 163*c**2. Is 6 a factor of k(9)? True Let q(n) = -3 - n**3 + 46*n + 6*n**2 - 12*n - 16*n - 11*n. Let u be q(7). Does 8 divide 300/(u/(-1)) + 13 + -9? True Suppose -6*z + 523 = -41. Let l = z - 69. Is 13 a factor of l? False Let g(m) = 10*m + 16. Let z(o) = -4*o + 32. Let i be z(7). Suppose 5*v + 10 = 4*p - 3*p, -5*p - i*v = -21. Does 8 divide g(p)? False Let v(s) = 25*s + 303. Let g = -127 + 118. Is 13 a factor of v(g)? True Let b be 9/(0 + -1 + 2). Let z = 57 - b. Suppose 22 + z = k. Is k a multiple of 7? True Let g(v) = 29*v + 9. Let x be g(-4). Let r = x - -257. Suppose 4*t - r = -2*t. Is 25 a factor of t? True Let u(g) = 3*g**3 - 7*g**2 + 14*g - 4. Let t be u(6). Suppose -5*x = -4*i - t, 4*x + 6*i - 388 = 2*i. Does 48 divide x? True Let r(o) = -o**3 - 24*o**2 - 28*o + 33. Let w be ((-1235)/52 + 6/8)*1. Is 4 a factor of r(w)? True Does 14 divide 2275/1*(34/60 - 1/6)? True Let k = -50 + 57. Suppose -k*i = -3*i - 900. Suppose -3*b - 128 - 27 = -2*x, -3*b = 3*x - i. Does 12 divide x? False Let j be ((-1)/2 + 0)/((-4)/40). Suppose 209 = 2*o + j*n, -14*o + 11*o = -4*n - 348. Does 14 divide o? True Let h = 522 - -34. Let k = 591 - h. Is 16 a factor of k? False Let x(d) = -137*d**3 - 2*d**2 - 7*d. Suppose 4*b + 13*j + 5 = 16*j, 3*b = 3*j - 3. Is x(b) a multiple of 38? True Let h = -10430 + 19805. Is h a multiple of 53? False Suppose -3378 = -4*j - 2*r, j + 217 = r + 1066. Is j a multiple of 10? False Let m(k) = -3*k**2 - 28*k + 165. Let a be m(-14). Suppose -3*z = 0, -3*z = 5*h - 4*z + 315. Let v = a - h. Is v a multiple of 32? True Does 10 divide (-4 + 10 + -4)*(-9 + (-24871)/(-22))? False Let v(n) = 36*n**2 - 23*n + 452. Is v(13) a multiple of 99? True Let f(o) = o - 17. Let s be f(0). Let y be s/(-8) - 3/24. Suppose -64 = -2*h - y*z, -4*h = -0*z - z - 143. Is h a multiple of 5? True Let y be (6 - 4)*(-8 + (2 - 5)). Let a(t) = t**2 + 23*t + 37. Let b be a(y). Suppose -6*x = -b*x + 1242. Does 12 divide x? False Let b(c) = -60167*c + 216. Is b(-1) a multiple of 51? False Suppose -3*f + 3*j = -13383, 69*j = -5*f + 66*j + 22337. Suppose f = 15*n - 2390. Does 5 divide n? False Suppose 2*i - 817 = -5*s, 16*s - 18*s - 6 = 0. Is i a multiple of 16? True Is 1043 + -2 + 14 + (-18 - 0) a multiple of 4? False Let n(y) = 8*y**2 - 28*y - 120. Is 2 a factor of n(-5)? True Let c be 2*((-309)/(-6) + (-2)/(-1)). Suppose -3*j = -2*j - c. Suppose j = -5*q - 5*z + 562, -3*z = -4*q + 343. Is q a multiple of 11? True Suppose -4*s - 3*j = -350, -3*s + 4*s + 5*j = 79. Suppose -5*v - 3*h = -1501 - s, 4*h + 295 = v. Is v a multiple of 21? True Let q(t) = t**3 - 22*t**2 - 21*t + 26. Let w be q(22). Let z = w - -536. Does 71 divide z? False Suppose 394*h - 2*h - 3087437 = 11685867. Is 24 a factor of h? False Suppose 13*w + 156*w + 39*w = 1283152. Is 5 a factor of w? False Suppose 5*y - 3*v - 26387 = 0, 4*v - 3093 = -y + 2189. Is y a multiple of 236? False Suppose -7745 = -6*y + 1855. Is 32 a factor of y? True Suppose 3*k - 1689 = -3*f, 4*k + 21*f - 23*f = 2252. Does 34 divide k? False Let s = 194 - 205. Does 10 divide s/(132/9) + 1926/8? True Let m(n) = 12*n**3 - n**2 - 4*n + 5. Suppose -7*v + 58 = -2*v - 2*q, -1 = -q. Suppose l = -z + 3, 5*z = 4*l - 6*l + v. Is m(z) a multiple of 8? False Suppose 0 = -11*v + v + 6400. Does 45 divide (v - 10)*18/21? True Let m(k) = -261*k - 748. Let v be m(-3). Let h be (-1)/(-3) + (-542)/6. Is (h/(-63))/(1/v) a multiple of 10? True Let o(a) = -2*a**2 - 48*a - 8. Let u be ((-315)/12)/((-3)/16*2). Let c = 50 - u. Is 38 a factor of o(c)? True Let k be (2 - -1) + (0 - 5). Is 15 a factor of (k - -3) + 123 + -7? False Suppose 4*i = -5*k + 293, -4*k - 2*i + i + 241 = 0. Let v = 76 - k. Suppose -4*z = -5*d - 625, -10*d + v*d + 325 = 2*z. Is z a multiple of 32? False Does 40 divide (-29358)/(-36)*(5 + 5)? False Let k be 2 - 0/(-4) - -3. Suppose 412 - 152 = k*t. Suppose 0 = -4*h + 2*s + t, -3*h + 4*s + 56 = h. Is 12 a factor of h? True Let v be (-3)/2*108/81. Is 8 a factor of 24164/49 - 1 - v/(-14)? False Is 15 a factor of 2*(-2)/(-24)*-2*301005/(-5)? False Let a(t) = -t**2 - 27*t + 170. Let b be a(-32). Is 31 a factor of (28/b)/((-34660)/(-3850) - 9)? False Let h be 1 - (36/30)/((-2)/(-6260)). Let f = -4 - 16. Is 12 a factor of 2/(-8)*-1 + h/f? False Suppose 29880 = -90*g + 100*g. Does 2 divide g? True Suppose -4*g - 82 = 18. Let u = 34 + g. Let m = 106 + u. Is m a multiple of 29? False Let w(g) = 27*g**2 + 400*g - 3237. Is 3 a factor of w(8)? False Let a be ((-104)/(-12))/13*-15. Is 7 a factor of (0 - 168)*(-4 - (7 + a))? True Let s(l) = -36*l**3 - 14*l**2 + 45*l + 24. Let k(j) = -9*j**3 - 3*j**2 + 11*j + 6. Let z(w) = 9*k(w) - 2*s(w). Is z(-3) a multiple of 9? False Suppose -t + 1 + 9 = 0. Suppose -5*s = 0, -7*y + s = -t*y + 78. Suppose 21*n + 280 = y*n. Is 8 a factor of n? True Let d be -14*13/((-273)/6). Suppose 2*z + o = 1636, -z - d*o + 626 = -199. Is 19 a factor of z? True Suppose -1537*g + i = -1542*g + 26584, -3*g + 15932 = -4*i. Is 12 a factor of g? True Suppose -166669 = -192*f + 2210867. Is f a multiple of 28? False Let y = -4953 + 17106. Is y a multiple of 28? False Let r(w) = -302*w + 21. Let i be r(-2). Suppose 10*m - 5*m + 5*g = i, 4*m - 2*g = 530. Is m a multiple of 2? True Let j(v) = v**3 + 7*v**2 - 20*v - 18. Let z be j(-9). Is 45 a factor of 810*1/8*4 - z? True Let y = -62 - -62. Let k be (2 - (0 - y))/((-3)/(-486)). Suppose -6*g = -k - 0. Is g a multiple of 6? True Let r(k) = 160*k**2 - k + 166. Is r(-9) a multiple of 71? True Suppose 0 = 9*i - 7113 - 22182. Is i a multiple of 33? False Let h(o) = 2 + 109 - 30 + 3*o. Does 18 divide h(-9)? True Let g = 442 - 435. Suppose 2*r - 7047 = -g*r. Is r a multiple of 29? True Suppose -67508 = -5*p - 4*u, -p + 257*u - 252*u + 13490 = 0. Is p a multiple of 60? True Let a(m) = m**3 - 15*m**2 - 12*m - 12. Let y be a(16). Suppose -17*u + 2 = -16*u. Suppose 0 = -s + u*s, -4*k + y = -s. Is k a multiple of 12? False Let c = -5783 + 6685. Is c a multiple of 8? False Suppose -m - 1 = 0, -5*m - 4165 = -5*o + 12935. Is 45 a factor of o? False Is (-1823605)/(-595) + (-5)/(170/(-4)) a multiple of 41? False Suppose -474 = -3*x - 3*s + 468, -2*s - 628 = -2*x. Suppose -3*d - 92 = -x. Suppose u - 36 = d. Does 22 divide u? True Let o be 3/(0 - -1) - -46. Let a = 119 - o. Is a a multiple of 10? True Suppose -4 = -2*o, 30 = -b - 4*b + 5*o. Let g be (-10)/15*1602/b - 3. Is 12 a factor of ((3 + g)/(-3))/(-1*1)? False Does 7 divide (-4)/6 + 16732/6? False Suppose -41*h = -362292 + 890 - 147654. Is h a multiple of 32? True Suppose 0 = -5*k - 7 - 3. Let g be (-69 - (2 - k))*-1. Suppose 4*w + 3*f - g - 27 = 0, 3*w + f = 80. Does 22 divide w? False Let t = 4 + 3. Let l be (-1)/t + (-43)/(-7) + -4. Suppose -5*r = -4*g + 191, -g + l*r + 243 = 4*g. Is 5 a factor of g? False Let s(y) = -8*y + 10. Let m be s(2). Is 14 a factor of m/15 + 12328/20? True Suppose r - 4290 = 5*y, 4084 = 2*r + 5*y - 4571. Does 17 divide r? False Suppose -39*k = 7*k - 57408. Suppose -3*x = -3*m + k, 352 = 4*m - 3*x - 1307. Does 11 divide m? False Suppose -l = 6, 5*f - 8*l - 69876 = -12*l. Is 233 a factor of f? True Let u = -289 + 9889. Is u a multiple of 200? True Is 56/(-126) + 118/(-18) + 730 a multiple of 54? False Let c(p) = -5*p**3 - p - 2. Let f be c(-1). Suppose -17 = -f*a - 125. Is (-1)/(a/6) - (-1076)/18 a multiple of 20? True Is (-119832)/(-36) - (4 - 40/12) a multiple of 26? True Let r = -30 - -24. Is 11 a factor of (-1 - -61)*-5*r/60? False Let h(x) = 450*x**3 + 2*x - 1. Let f be h(1). Suppose 91 = -9*n + f. Suppose -115 - n = -5*z. Is z a multiple of 17? False Let d = 48 - 48. Suppose d = -2*z + 7*z + 15. Is (-49)/((-12)/3 - z) a multiple of 7? True Let s(k) be the first derivative of 13*k**2/2 - 338*k + 5. Let m(j) = -6*j + 169. Let d(n) = 9*m
{ "pile_set_name": "DM Mathematics" }
4*w**3 + 203 to l + z*w + k*w**3 + m*w**2 and give k. 186 Express 5*m**3 - 124*m + 0*m**3 - 119*m - 7*m**2 - 117*m + 354*m as d*m**3 + c*m + o + z*m**2 and give c. -6 Rearrange (-2*n**4 - 780946*n**2 + 12 - 3*n**3 + 390395*n**2 + 390449*n**2)*(0 + 0 - 2) to t*n**3 + d*n + z*n**4 + m + b*n**2 and give m. -24 Express 21926*t**3 - 3*t**2 + 6 - 21925*t**3 + 5*t**2 - 63*t**4 as r*t**3 + k*t + q*t**2 + b*t**4 + m and give r. 1 Express -6 - 2*a - 64*a**2 + 135*a**3 + 110*a**2 + 7 - 46*a**2 as m*a + d*a**3 + z*a**2 + u and give m. -2 Rearrange -5595*y**2 - 5591*y**2 + 16777*y**2 + 1 - 5589*y**2 - 2*y**3 - 2*y - 3*y**4 to the form p*y**2 + h*y**3 + c + w*y**4 + z*y and give z. -2 Rearrange -119*a + 260*a - 145*a + 1 - 2*a**3 + 127*a**2 to the form c*a + d*a**2 + o*a**3 + q and give o. -2 Rearrange -6479*t**4 + 0*t**2 + 9883*t**4 + 2*t - 2 + 3*t**2 - 5625*t**4 to the form c*t**3 + o*t**2 + b*t**4 + s + n*t and give o. 3 Rearrange 5 - 9*o - o**2 + 91*o**3 + 107*o**3 + 9*o + 86*o**3 to p*o**3 + s*o**2 + a*o + g and give g. 5 Express (-3*c - 5*c + 0*c)*(0 + 1 + 1) + (0 - 1 + 0)*(3*c + 2*c - 6*c) + (155 + 126 - 249)*(-2*c - c + 0*c) in the form s*c + m and give s. -111 Rearrange -10 - 12 + 14*p**4 - 2*p - 241*p**3 - 11*p**2 + 239*p**3 - 15 + 34 to x + y*p + b*p**4 + f*p**2 + q*p**3 and give b. 14 Rearrange 2976*w + 3061*w - 1000*w - 1439*w + 1192*w to l*w + q and give l. 4790 Rearrange -823*c + 46*c**2 + 53*c - 48*c**2 + 11557*c to the form w*c**2 + q + v*c and give w. -2 Rearrange -32*i**4 + 18 - 2*i**3 + 478*i + 192*i - 670*i to t*i**2 + y*i**3 + f*i**4 + w + b*i and give y. -2 Rearrange 718*q**2 + 717*q**2 - 2*q**4 + 2*q**4 + 4*q - q**4 - 1433*q**2 + 4*q**3 to the form b*q + h*q**4 + m*q**3 + j*q**2 + a and give b. 4 Express -9*h + 9*h - 128985*h**2 - 32 + 128733*h**2 as k*h**2 + g + f*h and give g. -32 Rearrange -68809 + w + 134059 - 67398 to g*w + m and give g. 1 Express -15*a**3 + 8*a - 9*a**2 + 7*a**3 + 6*a**3 - 7*a + 1 + 7*a**4 in the form l*a**2 + k + q*a**4 + o*a + g*a**3 and give l. -9 Rearrange 5*x + 4*x - 2*x + (-1 + 0 - 3)*(-x + 3*x - 5*x) + x + x + x - x + x + x to i + f*x and give f. 23 Express (-4*w**2 + 0*w**2 + 5*w**2)*(-w + 2 - 2)*(31 - 4 - 2) + (-w**2 - 6*w**2 + 0*w**2)*(-2*w - w + 2*w) as q*w**3 + g*w**2 + k + c*w and give q. -18 Express (0*d + 2*d - 4*d)*(13337*d + 1 + 13275*d - 26288*d) as j + q*d + l*d**2 and give l. -648 Express 1 + 0*v**3 + 34903*v - 34899*v - 4*v**3 as c*v**2 + f*v**3 + o*v + a and give f. -4 Rearrange -117*n**3 + 2*n**2 - 1 + n**4 - 91*n**3 + 7*n**2 + 211*n**3 - 3*n to the form r + f*n + q*n**2 + l*n**3 + s*n**4 and give l. 3 Express (-4 + 8 + 5)*((-4 + 6 - 4)*(-25*q + 0*q - 4*q) + 2*q + 4*q - q) in the form s + m*q and give m. 567 Express f + 11074*f**2 - 11278*f**2 - f in the form g*f + s + y*f**2 and give y. -204 Rearrange (-36*p - p - 38*p)*(-4*p + 17*p + 6*p) to d*p + f*p**2 + j and give f. -1425 Rearrange 268*s**4 + 283*s**4 - 111*s**4 - 90 + 2*s**4 + 90 + (-s + s + s**3)*(3*s - 5*s + s) to the form j + b*s**4 + a*s**2 + c*s**3 + i*s and give b. 441 Express -66*j - 7*j**2 - 41*j - 10*j + 41*j - 40*j in the form c*j + y + s*j**2 and give c. -116 Express -33*l + 94*l - 31*l + 107 - 6 - 26*l in the form s + r*l and give s. 101 Express -3*s - s**3 - 7*s**4 + 1 + 7*s - 8*s + 14 - 3*s**2 + 6*s**4 in the form o*s**4 + b*s + r*s**2 + z*s**3 + f and give z. -1 Rearrange (3 + 1 - 2)*(n + 145 - 145) + 3*n + 3*n - 4*n + (-319 + 146 + 63)*(0*n - n + 0*n) to y + w*n and give w. 114 Express 40*v + 4*v + 191*v - 30*v as t + b*v and give b. 205 Rearrange -20*s**2 - 5*s**2 - 6*s**2 + (2*s**2 + 3*s**2 - 4*s**2)*(1 - 6 + 1) to c*s**2 + y + b*s and give c. -35 Rearrange -10781*v**2 + 28537*v**2 + 6224*v**2 to the form o*v**2 + l*v + m and give o. 23980 Express 1461*c + 246*c - 7 + 1306*c + 7 in the form j*c + t and give j. 3013 Rearrange -1910*i**2 + 6870*i**2 + 7587*i**2 - 2795*i**2 to the form j*i**2 + r + o*i and give j. 9752 Express -6*l**2 - 21*l - 48*l - 528*l**2 - 5 - 23*l + 90*l as w*l + h + q*l**2 and give w. -2 Rearrange -14067*a - 2*a**3 - 61 + 59 + 14066*a + 613*a**4 to t*a**2 + q*a + n + z*a**3 + u*a**4 and give n. -2 Rearrange (3*o**2 - 3*o**2 + 1 - 2*o**2)*(-2*o + o + 0*o)*(2 - 2 + 3)*(33 - 62 + 18) to the form h*o + q + c*o**2 + d*o**3 and give d. -66 Rearrange (0*j + 4*j - 2*j)*(2*j + 2*j - 2*j) + 121*j - 19*j**2 - 121*j + (0 + 0 + 2*j)*(-2 + 2 - j) - 244*j + 244*j + 36*j**2 to b*j + l + h*j**2 and give h. 19 Rearrange (1 + 0 - 2)*(6369*i + 35537373 - 35537373) to a*i + j and give a. -6369 Express -19*n**2 - 550*n**4 + 3*n + 1111*n**4 - n**3 - 556*n**4 - 2*n as f*n**2 + v + p*n**3 + o*n + h*n**4 and give h. 5 Express -288*w**4 - 12*w**2 + 13*w**2 + 12 + 926*w - 925*w in the form y + f*w**2 + d*w**4 + q*w**3 + x*w and give y. 12 Rearrange -78*v - 2 - 180*v + 2*v - 28*v + 28*v to the form n*v + p and give n. -256 Rearrange -i**2 + 926 - 1620 - 1214 + 0*i + 0*i to w*i**2 + h + m*i and give w. -1 Rearrange 232 - 187 - 2*b + 3*b - b + 7*b**2 to n*b**2 + r*b + z and give z. 45 Rearrange -86*i**2 + 122*i**2 - 41*i**2 + 798*i to x + y*i**2 + k*i and give y. -5 Rearrange -20 - 15 + 13 - 8*y - 43 to z*y + w and give w. -65 Rearrange (-o**2 + 637*o - 321*o + 10 - 321*o)*(-22 + 22 - 5*o) to a*o**2 + q + f*o + d*o**3 and give f. -50 Express -6*m**3 + 20567*m**2 - 10284*m**2 - 3*m - 10281*m**2 - m**3 as c*m**3 + x*m**2 + d*m + k and give d. -3 Express (3135*c + 2262*c + 1813*c)*(-3 + 0 + 4) in the form n*c + z and give n. 7210 Rearrange (14*l + 187*l + 990*l + 401*l + 3742*l)*(-2 + 2 - 5) to the form v*l + w and give v. -26670 Express -13328*t**2 - 16628 + 16628 as n*t**2 + o + r*t and give n. -13328 Express (44 + 52 - 8)*(337 + 231 - 86)*(-b + 3*b - 4*b) in the form d + t*b and give t. -84832 Express -112*p**3 + 80*p**3 + 34*p**2 - 13*p**2 + 28*p**2 as r*p**2 + v*p + y + q*p**3 and give r. 49 Rearrange (-43*u + 67*u - 34*u)*(-1 - 1 + 0) + 0*u - u - 4*u - 31*u + 19*u - 57 + 14*u to j*u + s and give s. -57 Rearrange -24 + 9127*c**2 + 281*c**3 + 22 - 283*c**3 to the form s*c + m*c**3 + u*c**2 + j and give m. -2 Express 13*k**3 + 131*k + 8*k**3 - 129*k + (6*k + 0*k - 5*k)*(96*k - 96*k + 143*k**2) in the form y + d*k + h*k**2 + c*k**3 and give c. 164 Rearrange (61*j + 12*j**2 - 61*j)*(6 - 4 - 4)*(0 + 6 - 4 + (2 - 4 + 1)*(1 + 1 - 3) - 1 + 0 + 0 + 3 + 0 + 0 - 7 - 14 + 12) to p*j + s*j**2 + u and give s. 96 Rearrange (0*q + 7*q - 3*q)*(-630*q - 512*q - 1 + 1464*q) + 2*q**2 + 0 + 0 + (-3 + 4 - 4)*(3*q**2 - 3*q**2 + q**2) to m + o*q + a*q**2 and give o. -4 Rearrange -7*v**2 + 0*v + 137 - 262 + 7*v + 6*v**2 - 3*v to x*v + z + s*v**2 and give s. -1 Rearrange -3795*m**2 + 5*m - 3623*m**2 - 3 + 7602*m**2 - 7*m - m**3 to the form w*m + s + j*m**3 + i*m**2 and give i. 184 Rearrange (1 + 3 + 0)*(0 + 3 - 2)*(1 - 3*k - 1)*(1034 - 1613 + 1022) to n + m*k and give m. -5316 Express 310 - 312 + 245*x - 1361*x as l*x + s and give s. -2 Rearrange -f**3 + 197 - 4*f - 389 + 194 - 2*f**4 - 2*f**2 to a*f**4 + m*f**3 + l*f**2 + p + u*f and give m. -1 Express -193*l**3 + 3*l**3 - 15*l**3 + (0*l**2 + 5*l**2 - l**2)*(27*l - 38*l + 32*l) in the form m*l**2 + w + v*l**3 + b*l and give v. -121 Express (-w**2 + 3*w - 3*w)*(-217 - 494 + 244) + 10*w**2 - 8*w**2 - 14*w**2 as m*w + j + h*w**2 and give h. 455 Rearrange 20668*q**2 + 51*q**3 - 54*q**3 - 20667*q**2 + 14*q to t*q**3 + u*q + f + a*q**2 and give t. -3 Express 2*g - 8*g + 18*g + (1 + 2 - 2)*(-g - 2 + 2) + 47*g - 94*g + 51*g in the form f*g + o and give f. 15 Express -742*b - 2534*b - 10*b**2 - 3551*b + 1946*b + 8*b**2 as i + r*b**2 + q*b and give r. -2 Rearrange 14083 - 14083 + 153*b + 532*b to the form d*b + q and give d. 685 Rearrange -12579*l + 4*l**2 + 247 + 12579*l + (-4*l - 3*l + 5*l)*(-3*l + 0*l + l) - 3 + 3 + l**2 to a*l + t*l**2 + w and give w. 247 Express 15*p + 15*p - 66*p - 11*p**4 + 8*p - 2*p**2 + 6 + 18*p in the form j*p**2 + f*p**4 + b*p + h + d*p**3 and give h. 6 Rearrange (2*k - 3*k + 8*k)*(190*k + 63*k + 160*k) to the form b*k + c*k**2 + t and give b. 0 Express -4*l + 2*l + l - 60*l - 12*l + 14*l + (-2*l + 4*l - l)*(9 - 2 - 1) + 3*l - 3*l + l as f*l + k and give k. 0 Express 12*l + 3581338*l**3 + 0 + 3 - 3581339*l**3 - 3*l**2 + 2*l**4 as v + c*l**4 + y*l**3 + k*l**2 + n*l and give
{ "pile_set_name": "DM Mathematics" }
the third derivative of -1030*m**2*p**3 - 45*m**2*p**2 + 10*m**2*p + 6*m*p**3 - 14*m*p**2 + 72*m - 234*p**3 - 3*p**2 wrt p? -6180*m**2 + 36*m - 1404 What is the second derivative of -65028852*j**2 + 12204435*j + 1? -130057704 What is the first derivative of -250697679*f + 388791392? -250697679 Find the third derivative of -287884272*l**3 + 840883*l**2 - l + 151 wrt l. -1727305632 Find the first derivative of 6748738*q**3*v + 53*q**3 + 20327*q**2 wrt v. 6748738*q**3 What is the second derivative of -16*g**3*t + g**2*t**2 - 1186380*g**2 + 2*g*t**2 + 16*g*t - 1370*g - 422*t wrt g? -96*g*t + 2*t**2 - 2372760 What is the first derivative of 3043837*m**4 + 7*m*w**2 - 152455573*w**2 wrt m? 12175348*m**3 + 7*w**2 Find the first derivative of 1699574*l*r**2 - 2*l*r + 14*l - 1577*r**2 + 24095 wrt l. 1699574*r**2 - 2*r + 14 What is the derivative of -5*h**4 + 219155*h**2 - 3*h + 17744982 wrt h? -20*h**3 + 438310*h - 3 Differentiate 749515641*u + 365310099 with respect to u. 749515641 What is the first derivative of 2*t**4 + 2090*t**2 + 2878*t + 288371301? 8*t**3 + 4180*t + 2878 Find the third derivative of -294589291*j**3 - 2*j**2 + 148107*j + 170. -1767535746 What is the derivative of 20008790*c**2*q**2 - 109*c**2 + 13688*c + 3 wrt q? 40017580*c**2*q Differentiate -5132373*t**2 + 6575133 wrt t. -10264746*t Find the first derivative of 664339198*c*i - 408284028*c - 2*i wrt i. 664339198*c - 2 Differentiate -5*l**3*x + 12*l**3 - 208*l**2 + 166*l + 3486906*x**4 - 1 with respect to x. -5*l**3 + 13947624*x**3 What is the third derivative of -l**6*n - 25312*l**5*n*w + l**2*n*w + 2*l**2*w + 1576*l + 188*w wrt l? -120*l**3*n - 1518720*l**2*n*w What is the second derivative of 21*b**3*x**2 - 321*b**3*x + 23*b**3 - 2*b**2*x - 7480*x**2 - 1044*x wrt x? 42*b**3 - 14960 Differentiate 62221588*f - 53557416. 62221588 What is the derivative of -241582067*n + 119321551? -241582067 Find the first derivative of -36517096*n**4 - 83750189 wrt n. -146068384*n**3 What is the second derivative of -34*b**4*x + 19893*b**2*x - b*x + b - 4452208*x + 2 wrt b? -408*b**2*x + 39786*x What is the first derivative of -6804135*p - 40320287? -6804135 What is the derivative of -60303158*u**2 - 17626107? -120606316*u Find the second derivative of 10598*g*s**4 - 128*g*s**3 - 49*g + s**2 + 51010*s wrt s. 127176*g*s**2 - 768*g*s + 2 What is the third derivative of -58326075*s**6 - 52689061*s**2 + 2 wrt s? -6999129000*s**3 Find the second derivative of 10431843*c**2 - 13430*c + 107. 20863686 What is the third derivative of -2*t**5 - 2*t**4 + 5405516*t**3 + 442*t**2 - 2626*t wrt t? -120*t**2 - 48*t + 32433096 Find the second derivative of -3404*g**4 - 14995*g**2 - 5285666*g - 7 wrt g. -40848*g**2 - 29990 What is the second derivative of 198*j**2*v**2 - 3*j**2*v + 391123*j*v**4 + 106854257*v wrt v? 396*j**2 + 4693476*j*v**2 Find the third derivative of 95*c**5 + 11*c**4 - 1296*c**3 + 1895929*c**2. 5700*c**2 + 264*c - 7776 Differentiate 365*p**3 - 8*p**2 + 5128*p - 127321545 with respect to p. 1095*p**2 - 16*p + 5128 Find the second derivative of 58401527*c*u**2 + 2439965*c*u wrt u. 116803054*c What is the third derivative of 5*b**4 - 9751701*b**3 - 11*b**2 + 2634822*b? 120*b - 58510206 What is the derivative of 3567*c*l**3 + 12*c + 1277*l**3 - 219*l - 1 wrt c? 3567*l**3 + 12 Find the second derivative of -d**3*s**2 - 891*d**3*s + 306*d**3 + 2*d*s**2 - d*s + 10*d + 1806*s**2 - 8*s - 2 wrt d. -6*d*s**2 - 5346*d*s + 1836*d What is the second derivative of 42399314*l**4 + 99277*l? 508791768*l**2 What is the second derivative of -79651203*y**3 - 576*y + 163347? -477907218*y What is the second derivative of 4687*a*n**2 - 6*a*n + 774*n**2 + 184*n + 260 wrt n? 9374*a + 1548 Find the second derivative of 8582*n**2*q*v - 50*n**2*v - 390*n**2 - 33*n*v - n + q*v + 8*q + 1029*v wrt n. 17164*q*v - 100*v - 780 Find the third derivative of -12708061*j**3 + 7962*j**2 + j + 152 wrt j. -76248366 Differentiate o**4 - 15769444*o**3 - 8526610 with respect to o. 4*o**3 - 47308332*o**2 What is the second derivative of -26*h**4 - 504*h**3 - 4*h**2 + 1407*h - 106? -312*h**2 - 3024*h - 8 What is the derivative of 390432518*m - 875368774? 390432518 What is the first derivative of 180155456*y**4 - 41828154? 720621824*y**3 Find the third derivative of 351889*f**3*t**3 + 3*f**3*t**2 - 18*f**3*t - 253*f**2*t**2 - 110*f*t**3 + 29 wrt f. 2111334*t**3 + 18*t**2 - 108*t Differentiate 34*k*o + 6084606*k + 39198*o wrt o. 34*k + 39198 What is the third derivative of -23342876*c**5 + 1737*c**2 - 3*c - 69? -1400572560*c**2 Differentiate 88766011*t + 314603168 wrt t. 88766011 Find the first derivative of -5525935*m*p - 76*p + 31360 wrt m. -5525935*p Find the third derivative of -130353069*i**3 + 7163*i**2 - 1352*i - 4 wrt i. -782118414 What is the third derivative of -2*w**5 + 3*w**4 + 6660808*w**3 + w**2 - 6*w - 3215582? -120*w**2 + 72*w + 39964848 Find the third derivative of -177*l**5 + 28*l**4 + 19*l**3 + 2544*l**2 + 970. -10620*l**2 + 672*l + 114 Find the second derivative of -7*v**3 - 128702*v**2 + 12139120*v. -42*v - 257404 Find the first derivative of -24*a*p + 187375431*a - 4687797*p wrt p. -24*a - 4687797 What is the second derivative of -8553451*q**5 - 3747390*q wrt q? -171069020*q**3 Find the second derivative of 56*t**2*y**3 - 11639*t**2*y + 2*t**2 - 2*t*y**3 - 2*t*y**2 - 5*t*y - y**2 - 5964*y + 13 wrt t. 112*y**3 - 23278*y + 4 Find the third derivative of -33836038*r**4 - 170842*r**2 + 7*r. -812064912*r What is the third derivative of 5855642*z**3 + 2051568*z**2? 35133852 Differentiate -3143854*d**2 - d + 2047285. -6287708*d - 1 What is the second derivative of 74*n**3*w + 621*n**3 + 4*n**2*w - 2*n**2 + n*w + 5*n + 86*w + 2092 wrt n? 444*n*w + 3726*n + 8*w - 4 Find the third derivative of -8627137*s**3 + 11*s**2 - s + 489. -51762822 What is the derivative of n**2*r + 2140482*n**2 - 1810*n*r**2 + 214*n*r - 8*n - r**2 wrt r? n**2 - 3620*n*r + 214*n - 2*r What is the derivative of -5290219*c**4 + c**3 + 2*c - 260388621 wrt c? -21160876*c**3 + 3*c**2 + 2 What is the derivative of 182128881*c**4 - 572432006? 728515524*c**3 What is the first derivative of 452*i**3 - 23282*i**2 - 2*i - 541579714? 1356*i**2 - 46564*i - 2 Differentiate 99*z**3 - 4052703*z - 25877781 with respect to z. 297*z**2 - 4052703 What is the first derivative of -4253*n**2*u**2 - 2*n**2*u + 6240983*n**2 + 7*u**2 wrt u? -8506*n**2*u - 2*n**2 + 14*u Differentiate 15919831*m + 2691736 wrt m. 15919831 Find the third derivative of 84165590*l**3 + 23*l**2 + 94418. 504993540 What is the third derivative of -10776752*a**3 - 2*a**2 + 24*a + 34593 wrt a? -64660512 Differentiate 100582*i**3 + 275*i**2 + 46485043 with respect to i. 301746*i**2 + 550*i Find the third derivative of 8724*b**5 + 4108*b**4 + 68844934*b**2 wrt b. 523440*b**2 + 98592*b What is the second derivative of -3*t*x**5 + 2*t*x**2 - 1258*t + 22875853*x**2 + 2827*x wrt x? -60*t*x**3 + 4*t + 45751706 What is the third derivative of 3015558*r**3 + 256*r**2 - 85*r - 5? 18093348 What is the third derivative of 99*b**3*q*t - 3184591*b**3 + 28*b**2 - 2*b*q*t + 59*b*t - 68277*q*t wrt b? 594*q*t - 19107546 Find the third derivative of 204811827*i**3*k*n**2 + 3*i**2*k*n**2 - 3*i**2*k*n - 11*i*k*n - i*n**2 - 7544*n**2 wrt i. 1228870962*k*n**2 Find the third derivative of 1425*w**5 + 288*w**4 + 6*w**3 - 5*w**2 + 1050*w + 48. 85500*w**2 + 6912*w + 36 What is the derivative of -74813*i**2*k*o - 14*i**2*k + 327*i**2 + 10*i*o + k*o - k + 2*o - 113 wrt o? -74813*i**2*k + 10*i + k + 2 Find the third derivative of -5715*h**3*n**3*r + 59*h**3*n**3 + 1030*h**2*n**3*r + 450*h**2 + 2*h*n**3 + n**2*r wrt h. -34290*n**3*r + 354*n**3 What is the derivative of 255252897*r**4 - 94928425? 1021011588*r**3 Find the third derivative of -1092*r**5 - 344556*r**3 + 977323645*r**2. -65520*r**2 - 2067336 Find the second derivative of 129455699*o**3 + 643873*o - 197. 776734194*o Find the second derivative of -6712561*m**3 - 1786*m + 3589. -40275366*m Find the first derivative of 1201*v**2*x + 76*v**2 + 19803*v - 4168*x - 2 wrt x. 1201*v**2 - 4168 What is the second derivative of -3621935*t**3 + 17743526*t wrt t? -21731610*t Differentiate 4048461*p + 69718670 with respect to p. 4048461 What is the first derivative of -363234873*k**2 - 36
{ "pile_set_name": "DM Mathematics" }
, -2 Factor g**2 + 137672*g + 275340. (g + 2)*(g + 137670) Let 8*w**5 + 156*w**4 + 580*w**3 - 2108*w**2 - 11580*w - 5200 = 0. What is w? -13, -5, -1/2, 4 Solve 3*m**2 - 372210*m + 11545023675 = 0. 62035 Factor -2*o**4/7 - 2708*o**3/7 + 16320*o**2/7. -2*o**2*(o - 6)*(o + 1360)/7 Find m, given that -4*m**4/9 - 2134*m**3/9 - 826*m**2 - 7424*m/9 - 2120/9 = 0. -530, -2, -1, -1/2 Suppose -52*f**4 + 76688*f**3 - 28227036*f**2 - 34839504*f - 6535728 = 0. What is f? -1, -3/13, 738 Factor -d**2/3 + 1553050*d/3 - 602991075625/3. -(d - 776525)**2/3 Find y such that -4*y**2/9 - 96124*y/3 + 576760/9 = 0. -72095, 2 Let 2*s**3/5 - 28842*s**2/5 + 104112288*s/5 - 934675848/5 = 0. Calculate s. 9, 7206 Determine p so that 3*p**5/7 + 783*p**4/7 + 46392*p**3/7 - 2303592*p**2/7 - 215596368*p/7 - 421619664/7 = 0. -106, -2, 59 Let -3*w**5/5 - 72*w**4/5 + 57*w**3/5 + 2586*w**2/5 - 6984*w/5 + 4416/5 = 0. What is w? -23, -8, 1, 2, 4 Find w, given that 1029*w**5/4 + 4851*w**4/4 - 162183*w**3 - 2155560*w**2 + 209088*w + 71554560 = 0. -88/7, 5, 28 Factor u**3/2 + 1631*u**2/2 + 10510*u - 11326. (u - 1)*(u + 14)*(u + 1618)/2 What is n in -8*n**3/5 + 20536*n**2/5 - 4106*n + 5132/5 = 0? 1/2, 2566 Factor 3*k**2 - 73302*k + 73299. 3*(k - 24433)*(k - 1) Solve -55444203*h**2 - 257940*h - 300 = 0. -10/4299 Factor 125*n**3 + 118800*n**2 - 7153920*n + 104509440. 5*(n + 1008)*(5*n - 144)**2 Factor -3*v**3 - 183*v**2 + 276*v + 5580. -3*(v - 6)*(v + 5)*(v + 62) Let 5*m**5 + 16595*m**4 + 165575*m**3 + 413625*m**2 = 0. Calculate m. -3309, -5, 0 Factor -2*g**2/13 + 285332*g/13 - 285330/13. -2*(g - 142665)*(g - 1)/13 Suppose -2*b**4/7 + 292*b**3/21 + 4610*b**2/21 - 209096*b/21 - 23400/7 = 0. What is b? -27, -1/3, 26, 50 Factor -s**2 - 1563334*s - 611003298889. -(s + 781667)**2 Determine j so that 1280*j**2 + 388320*j + 29451645 = 0. -2427/16 Determine n, given that -8*n**2/3 - 8810*n/3 - 734 = 0. -1101, -1/4 Factor -2*y**2/3 + 565060*y. -2*y*(y - 847590)/3 Find p such that -2*p**2/5 - 128832*p/5 - 2074710528/5 = 0. -32208 Factor 3*j**2/5 + 192*j/5 - 603/5. 3*(j - 3)*(j + 67)/5 Determine c so that 4*c**2/5 + 7624*c/5 + 1524 = 0. -1905, -1 Find t, given that 3*t**3/5 + 72*t**2 - 4323*t/5 = 0. -131, 0, 11 Suppose 64*y**3 - 844*y**2 - 5436*y - 6984 = 0. Calculate y. -3, -2, 291/16 Factor -3*k**2 + 5856*k + 11724. -3*(k - 1954)*(k + 2) Factor 1550883*y**2/4 - 34512*y + 768. 3*(719*y - 32)**2/4 Let j**5/3 + 8*j**4/3 - 113*j**3 - 2138*j**2/3 - 3232*j/3 - 480 = 0. What is j? -20, -4, -1, 18 Factor -2*o**3/3 - 4*o**2 + 10*o - 16/3. -2*(o - 1)**2*(o + 8)/3 Factor r**3/3 + 231*r**2 + 15725*r - 28358125/3. (r - 157)*(r + 425)**2/3 Factor y**3 - 1153*y**2 - 4*y + 4612. (y - 1153)*(y - 2)*(y + 2) Factor 2*i**3/7 + 228552*i**2/7 + 914184*i/7 + 914176/7. 2*(i + 2)**2*(i + 114272)/7 Solve -2*t**5/3 + 710*t**4/3 - 54212*t**3/3 - 527852*t**2 - 1866942*t - 1357398 = 0. -19, -3, -1, 189 Factor 4*p**2 - 64*p - 228. 4*(p - 19)*(p + 3) Determine s so that 4*s**3 + 6312*s**2 + 6308*s = 0. -1577, -1, 0 Let 4*w**2 - 3509260*w - 3509264 = 0. What is w? -1, 877316 Determine n, given that 4*n**5 - 260*n**4/3 + 308*n**3/3 + 7244*n**2 - 33888*n - 12096 = 0. -9, -1/3, 7, 12 Factor -4*t**4 + 1328*t**3 + 33600*t**2 + 205056*t. -4*t*(t - 356)*(t + 12)**2 Factor 4*u**3 - 16156*u**2. 4*u**2*(u - 4039) Factor -o**4 - 122*o**3 - 3841*o**2 - 7320*o - 3600. -(o + 1)**2*(o + 60)**2 Factor -2*b**3/3 + 23062*b**2/3 - 230470*b/3 + 576050/3. -2*(b - 11521)*(b - 5)**2/3 Factor 2*t**2 - 56852*t + 113696. 2*(t - 28424)*(t - 2) Factor 3*r**2 + 201*r - 31302. 3*(r - 74)*(r + 141) Factor -p**4 + 92*p**3 + 412*p**2 - 2720*p + 3072. -(p - 96)*(p - 2)**2*(p + 8) What is l in -3*l**3 + 3462*l**2 + 888384*l + 51856896 = 0? -112, 1378 Factor a**2/3 + 112*a/3 - 1363. (a - 29)*(a + 141)/3 Determine x so that 3*x**2/7 + 2320824*x/7 + 448852003248/7 = 0. -386804 Find g, given that -5*g**4 + 685*g**3 + 5065*g**2 - 3225*g - 54000 = 0. -5, 3, 144 Suppose 1473702050*c**2/3 - 4668940*c/3 + 3698/3 = 0. What is c? 43/27145 Factor -u**2/2 - 245*u - 3381/2. -(u + 7)*(u + 483)/2 Factor q**3/6 - 287*q**2/3 - 26449*q/6 - 25297/3. (q - 617)*(q + 2)*(q + 41)/6 Determine h, given that -2*h**3 + 354*h**2 + 2592*h - 2944 = 0. -8, 1, 184 Factor u**3 - 228*u**2 + 5225*u + 5454. (u - 202)*(u - 27)*(u + 1) Suppose o**3/5 + 106008*o**2/5 + 2809530021*o/5 + 5618636018/5 = 0. What is o? -53003, -2 Find i such that 5*i**4 - 25155*i**3 + 351350*i**2 - 802080*i - 3210880 = 0. -2, 8, 5017 Factor -2*j**2/11 + 314*j/11 - 5244/11. -2*(j - 138)*(j - 19)/11 Factor -3*o**3 + 1899*o**2 + 13422*o + 11520. -3*(o - 640)*(o + 1)*(o + 6) Factor -5*k**4/4 - 1175*k**3/4 + 26220*k**2. -5*k**2*(k - 69)*(k + 304)/4 Factor 2*l**3 - 44358*l**2. 2*l**2*(l - 22179) Find l such that 2*l**4 - 1136*l**3 + 11224*l**2 - 35776*l + 35712 = 0. 2, 4, 558 What is d in 5*d**5 - 1332*d**4 - 2168*d**3 + 6400*d**2 + 8592*d - 4288 = 0? -2, 2/5, 2, 268 Factor -j**3/3 - 424*j**2/3 + 4331*j/3 - 1302. -(j - 9)*(j - 1)*(j + 434)/3 Factor 3*f**2/2 + 40343*f. f*(3*f + 80686)/2 Find b, given that 4*b**5 + 1872*b**4 - 3756*b**3 + 1880*b**2 = 0. -470, 0, 1 What is o in 43558*o**3 + 87117*o**2 + 43560*o + 1 = 0? -1, -1/43558 Suppose -b**2/4 + 15815*b - 250114225 = 0. Calculate b. 31630 Find i such that -16*i**3 + 668*i**2/3 - 2296*i/3 - 196/3 = 0. -1/12, 7 Solve 7921*q**4/2 - 1013977*q**3 + 129823233*q**2/2 - 1458304*q + 8192 = 0 for q. 1/89, 128 Factor j**4 - 14469*j**3 + 86790*j**2 - 173564*j + 115704. (j - 14463)*(j - 2)**3 Solve u**4/2 - 27*u**3/2 + 111*u**2 - 170*u - 900 = 0. -2, 9, 10 Factor 15*n**2 - 3387130*n - 1129045. 5*(n - 225809)*(3*n + 1) Determine w, given that -w**2/6 + 49750*w/3 - 1237531250/3 = 0. 49750 Factor 3*d**2 + 66678*d - 133368. 3*(d - 2)*(d + 22228) Let -37*k**3 + 19279*k**2 - 20282*k + 1040 = 0. What is k? 2/37, 1, 520 Let p**3/3 - 46*p**2/3 + 15*p = 0. Calculate p. 0, 1, 45 Solve -2*a**2 - 103016*a + 412096 = 0. -51512, 4 Factor -20*p**2 - 10135*p/3 - 2530/3. -5*(3*p + 506)*(4*p + 1)/3 Find l, given that -35*l**3 + 7785*l**2 + 4475*l - 3345 = 0. -1, 3/7, 223 Factor -3*h**3/4 + 411*h**2/2 - 813*h/4 - 819/2. -3*(h - 273)*(h - 2)*(h + 1)/4 Factor -2*h**2/3 + 65036*h - 390192. -2*(h - 97548)*(h - 6)/3 Let -7*z**4/2 + 15*z**3/2 + 22*z**2 - 66*z + 40 = 0. What is z? -20/7, 1, 2 Determine a so that -3*a**2 + 189552*a - 2994163392 = 0. 31592 Factor -2*p**3/9 - 128*p**2/3 - 2048*p - 262144/9. -2*(p + 32)**2*(p + 128)/9 Solve -2*i**2/19 - 543256*i/19 = 0. -271628, 0 Factor -l**2/9 - 3295676*l/9 - 2715370074244/9. -(l + 1647838)**2/9 Find o such that -o**2 - 17900*o - 80102500 = 0. -8950 Factor -28*l**2 + 34*l. -2*l*(14*l - 17) Solve 3*w**3/4 - 13479*w**2/2 - 80895*w/4 - 26967/2 = 0. -2, -1, 8989 Factor 5*a**3 - 4785*a**2 + 14320*a - 9540. 5*(a - 954)*(a - 2)*(a - 1) Suppose -10*r**5/9 + 3164*r**4/9 - 244522*r**3/9 - 908176*r**2/9 - 1070080*r/9 - 409600/9 = 0. What is r? -8/5, -1, 160 Find o such that 4*o**5 + 2148*o**4 + 2140*o**3 - 2148*o**2 - 2144*o = 0. -536, -1, 0, 1 Find f, given that -62*f**5/13 - 120*f**4/13 + 34*f**3 - 276*f**2/13 + 16*f/13 = 0. -4, 0, 2/31, 1 Determine r, given that -59643*r**3/2 - 366318*r**2 - 102120*r - 7200 = 0. -12, -20/141 Find p such that 9*p**4/8 - 5235*p**3/8 - 27573*p**2/2 + 18963*p/2 = 0. -21, 0, 2/3, 602 Factor -4*p**5 - 92*p**4 - 792*p**3 - 3232*p**2 - 6272*p - 4608. -4*(p + 2)*(p + 4)**3*(p + 9) Suppose b**3/5 + 204*b**2 + 4052*b/5 - 12192/5 = 0. What is b? -1016, -6, 2 Solve -4*u**4 + 11376*u**3 + 56948*u**2 + 91152*u + 45584 = 0 for u. -2, -1, 2849 Factor 4*q**2 - 89432*q - 178880. 4*(q - 22360)*(q + 2) Let 4*i**5 - 3972*i**4 - 35984*i**3 - 88176*i**2 - 128*i + 128256 = 0. What is i? -4, -2, 1, 1002 Factor -4*g**2/9 + 2708*g/9 - 236488/9. -4*(g - 574)*(g - 103)/9 Determine d so that -2*d**4/11 - 65504*d**3/11 + 2*d**2/11 + 65504*d/11 = 0. -32752, -1, 0, 1 Factor g**2 + 57146*g + 114288. (g + 2)*(g + 57144) Let 2*m**5/7 - 282*m**4/7 - 2374*m**3/7 - 1518*m**2/7 + 596*m = 0. Calculate m. -7, -2, 0, 1, 149 Factor -z**3/2 - 21*z**2/2 + 23617*z/2 - 23595/2. -(z - 143)*(z - 1)*(z + 165)/2 Let 2*q**2 - 3934*q - 23676 = 0. Calculate q. -6, 1973 Let -2*o**2/7 + 10372*o/7 - 20688 = 0. Calculate o. 14, 5172 Determine l so that -339*l**5/7 + 3048*l**4/7 + 1044*l**3/7 - 8466*
{ "pile_set_name": "DM Mathematics" }
889124254? 5 What is the ten millions digit of 254483595? 5 What is the millions digit of 52578120? 2 What is the thousands digit of 3351161? 1 What is the tens digit of 423139820? 2 What is the hundreds digit of 332063744? 7 What is the millions digit of 719909797? 9 What is the hundreds digit of 296124195? 1 What is the ten millions digit of 10430233? 1 What is the ten thousands digit of 2290735932? 3 What is the millions digit of 245097396? 5 What is the tens digit of 1485739393? 9 What is the hundreds digit of 1942706485? 4 What is the units digit of 153641204? 4 What is the hundred millions digit of 679704902? 6 What is the hundreds digit of 41454697? 6 What is the ten thousands digit of 33212425? 1 What is the units digit of 59680391? 1 What is the tens digit of 305588331? 3 What is the hundreds digit of 200669241? 2 What is the hundred thousands digit of 3746609418? 6 What is the units digit of 3724162178? 8 What is the hundred thousands digit of 579197169? 1 What is the hundreds digit of 92993146? 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3 What is the units digit o
{ "pile_set_name": "DM Mathematics" }
is the common denominator of 251/(-36) - 6*(-24)/18 and -99/134? 2412 Calculate the common denominator of -38/9 and (4/5)/((-19)/((-13775)/990)). 99 Suppose 2*o - 684 = 4*b, -4*o = o + 10. What is the common denominator of -20/21 and 3 - b/(-120) - 1/3? 210 Let l = 35 + -15. Suppose 5*h - 3*m + 110 = l, 3*m - 15 = 0. Calculate the least common multiple of 10 and 10/75 + (-73)/h. 10 Calculate the smallest common multiple of (-33*20/(-8))/((-4)/(-8)) and 70. 2310 Suppose 48 + 427 = 5*v - 3*h, -83 = -v + 3*h. What is the smallest common multiple of v and 140? 980 Let p = -958229/56 + 17112. Calculate the common denominator of -9/280 and p. 280 Let k = -31/120 + -227/1560. Find the common denominator of k and -67/72. 936 Let y(f) = f**2 - 8*f + 7. Let h be y(7). Let k = 73/5 - 797/45. Calculate the common denominator of (-12 + h)*(-4)/5 and k. 45 Find the common denominator of -3/50 and 116*(-13)/624*5. 300 Let x = -129031/180 + 3596/5. What is the common denominator of -91/144 and x? 144 Let w(q) = -q**2 - q + 5. Let z be w(0). Suppose x + 11 - 31 = 2*p, -x + z*p + 26 = 0. Calculate the lowest common multiple of x and 4. 16 Let a = -18 - -20. Let d be (-1305)/((a/8)/1). Let t = 72997/14 + d. Calculate the common denominator of t and 43/22. 154 Let k = -123 + 131. Suppose -5*f = -4*f - 6. Calculate the least common multiple of f and k. 24 Suppose -3*i - 166 = 107. What is the common denominator of -65/4 and 25/(-14) + 26/i? 28 Let j = 992 - 4987/5. Let w = -1308466/1343 + 11531215597/11869434. Let v = w + 3/982. Calculate the common denominator of v and j. 45 Let k = 1155492/10494583 + 3/20299. Calculate the common denominator of k and 113/10. 5170 Let z = -2056 + 4035/2. Suppose -3*j = -2*v + j, 3*j = 4*v - 20. What is the common denominator of z and (-12)/v - (-20)/14? 14 Suppose 0*a = 2*a + 3*g - 40, -g = -5*a + 66. Calculate the lowest common multiple of a and 56. 56 Let g = -422796 - -368678181/872. What is the common denominator of g and -13/16? 1744 What is the common denominator of -45/308 and ((-17)/((-28288)/(-39)))/((-3)/(-62))? 4928 Let k(i) = i**2 + 3*i + 1. Suppose -84 = 648*y - 660*y. Calculate the least common multiple of y and k(-5). 77 Let l = 133 + -48. Suppose 5*p - l = -0*p. What is the lowest common multiple of 21*((-1)/(-3))/(0 + 1) and p? 119 Suppose q - 36 + 13 = 0. Let n = q - 24. Calculate the common denominator of -40/11 and n/(-4) - (-173)/12. 33 Let x = 5 + -3. What is the lowest common multiple of (-3 + 1 - (1 + -4))*2 and x? 2 Suppose -t = 4*y - 10, -t - 4 = -3*y - 28. What is the smallest common multiple of t and 51? 306 Calculate the least common multiple of 70 and (-42)/7*(-9)/6. 630 What is the common denominator of (-102)/(-56) + 3/36 + -2 and -91/30? 210 Suppose 5*b - 12 = 8*b. Let s = 0 - b. Suppose 6*l + 4*i - 38 = l, 0 = -l + 2*i + 2. What is the lowest common multiple of s and l? 12 Let v be (118/10)/((-6)/3919). Suppose 184*u = 193*u + 69354. Let w = v - u. What is the common denominator of 119/20 and w? 60 Let s = -3 - 9. Let j be 30/(-12)*s/10. Suppose 3*x - j - 3 = 0. Calculate the least common multiple of x and 6. 6 Let j = -150/59 - -4411/1062. What is the common denominator of 271/(-126) - (-12 - (-162)/14) and j? 18 Let z be (-44)/(-10) - (-6)/(-15). Let k be 4 + (5 - 3) + -2. Suppose -k*c + 48 = z*o, -60 = -5*c - 0*c - o. What is the smallest common multiple of c and 8? 24 Find the common denominator of (-3 + 237/80)/(1/12) and -91/30. 60 Let d = -333 + 139. Suppose 36*v - 46*v = 30. Calculate the common denominator of d/(-12) - 9/v and 13/6. 6 Let y = -8167/36 + 226. What is the common denominator of y and -53/33? 396 Let g(b) = b**3 + b**2 - 7*b - 15. Calculate the smallest common multiple of g(5) and 30. 300 Let a = 57319 - 31181613/544. What is the common denominator of a and 20/7? 3808 Let d = -3 + 7. Suppose -31 = -q - 0*q. Let x = -17 + q. Calculate the lowest common multiple of x and d. 28 Let d = 28 + -24. Suppose d*z - 70 = -0*z - 5*r, 0 = -3*r + 6. What is the least common multiple of 21 and z? 105 Suppose 52*v = -19*v + 355. Suppose 5*k - 13 = -3*z, -k - k + 4*z = 0. What is the lowest common multiple of k and v? 10 Let g = 7 - 3. Suppose 0 = 5*r - 18 - 2. Suppose -5*p + 2*c - 5*c = -44, -2*c + 36 = r*p. Calculate the smallest common multiple of g and p. 20 Let j(c) = c**3 - 20*c**2 - 21*c + 2. Let w be j(21). Suppose 0 = -3*g + w*g + 39. Calculate the smallest common multiple of g and 6. 78 Calculate the lowest common multiple of 36 and 15 + (104/(-39) - (-1)/(-3)). 36 Let f be ((-3)/(-6))/(3/6). Let o be (f/2)/(12/120). Suppose 0*k - 90 = -o*k. What is the smallest common multiple of k and 2? 18 Suppose 3*o = 6*o - 18. Let i = 5979 - 5971. Calculate the least common multiple of i and o. 24 Let j(o) = o + 4. Suppose 8*q + 4*q - 96 = 0. What is the least common multiple of q and j(5)? 72 Calculate the smallest common multiple of 20 and (-22)/(-4) + 78/156. 60 Calculate the common denominator of -41/22 and 7/(-1) + 551/(-232). 88 Let t = -4 - -18. Let m be 8/28 + 4/(-14). What is the smallest common multiple of (-3 - m) + 4 - 7*-3 and t? 154 Let b = -2858 - -57079/20. Calculate the common denominator of b and 59/40. 40 Let v = 7653 - 1308653/171. Calculate the common denominator of 54/133 and v. 1197 Let z = 554 - 32. Calculate the least common multiple of z and 12. 1044 What is the least common multiple of -180*(22/4 + -4 + -2) and 26? 1170 Let f = 996 - 840. What is the lowest common multiple of 108 and f? 1404 Suppose -4*l = y - 16, y - 4*l + 24 = 3*y. Suppose -y*i = -i - 42. Calculate the smallest common multiple of 3 and i. 6 Let z = 687/7 + -97. Calculate the common denominator of z and 2 - -3*(-21)/(-99). 77 Suppose 5*u = -12*u + 714. Calculate the least common multiple of u and 14. 42 Suppose 11 - 35 = -4*j. Suppose -5*z + j = -3*z. Let k = -362 - -371. What is the lowest common multiple of k and z? 9 Let h be (2 - (-3 + 0)) + 0. Suppose 125 = -h*b + 5*x, 0*x = -5*b - 4*x - 143. Find the common denominator of -51/5 and b/(-18) + (-73)/8. 40 Let m(w) = -170*w - 4. Let b be m(-2). Find the common denominator of -53/3 and 3/(b/908) - 2/(-8). 42 Let k = 163004 + -101225528/621. What is the common denominator of k and 46/15? 3105 What is the lowest common multiple of ((-11)/(-33))/(2/(-6))*-2 and 16? 16 Let a = 2393/16 - 144. Find the common denominator of -17/14 and a. 112 Suppose -18 = -3*s - 2*s - k, -5*s = -2*k - 9. Suppose s*q - 26 = -5. What is the smallest common multiple of q and 3? 21 Calculate the common denominator of 15/((-75)/(-122))*3/24 and -53/15. 60 What is the common denominator of 89/195 and (21/45)/(15/40)? 585 Let u = 8261 - 99245/12. Find the common denominator of 5/2656 and u. 7968 Let u(r) = -r**3 + 16*r**2 - 10*r - 3. Let c be u(15). Suppose 0*g - 2*g = c. Find the common denominator of 139/12 and (0 - 58/g)*-1. 36 Let v(y) = 38 - y - 3 + 3*y. Calculate the lowest common multiple of (-2 + -6)/(-4) + 1 and v(-15). 15 Let f(l) be the second derivative of 0 + 8*l**2 + 1/12*l**4 - 2*l - 1/6*l**3. What is the smallest common multiple of f(0) and 18? 144 Find the common denominator of 85/6 and ((-9)/2268*6)/(2/(-81)). 84 Suppose -2*u + 4 = -2*o, -5*u - o + 0*o + 28 = 0. What is the common denominator of -93/4 and 452/40 + (-1)/u? 20 What is the smallest common multiple of 81 and 28/8*(-432)/(-42)? 324 Let i be ((-30)/(-20))/(3/2). Let v(g) = 17*g - 3. What is the lowest common multiple of v(i) and (-12)/((30/(-9))/5)? 126 Let f = -12 - -10. Let q(v) = -36*v**3 + v**2 + 2*v. Let r be q(f). Find the common denominator of 818/r - 4/(-18) and -21/4. 16 Let q be (-2)/3 + 4589/39. Suppose -23 = b - 4*c - c, 0 = -b + 3*c - 13. What is the common denominator of -48 and 637/q + b/6? 9 Let d be (-4)/2*(-1 + -1). Let r(p) = -3*p - 2 - p**3 + 6*p**2 + 2. What is the lowest common multiple of 22 and r(d)? 220 Let r = 453559/18 - 25206. Calculate the common denominator of r and 44/75. 450 Suppose 5*u = 0, 3*k - 4*u - 93 = -2*u. Calculate the lowest common multiple of 1 and k. 31 Suppose -3*s = -8*s - 35. Let t = s - -8. What is the lowest common multiple of 4/(-16)*(-132)/3 and t? 11 Let z = -24 - -71/2. What is the common denominator of z and 7/(-4)*(-18)/(-1)? 2 Find the
{ "pile_set_name": "DM Mathematics" }
*6 + 191*a**5*j**3 + 19*a**2*j + 8*a*j**3 + 2 wrt a. -1440*a**3 + 11460*a**2*j**3 What is the third derivative of 268*c*h**4 - 5*c*h**2 - c*h + h**6 - 3*h**2 - 2 wrt h? 6432*c*h + 120*h**3 What is the first derivative of 2*h**3 - 250*h**2 - 183 wrt h? 6*h**2 - 500*h Find the second derivative of -f*n**2 - f*n*r**3 + 13*f*r**3 + 8*n**2*r**3 + 10*n**2*r wrt r. -6*f*n*r + 78*f*r + 48*n**2*r Find the second derivative of -27*a*i**2 + 629*a*i + 5*i**2 wrt i. -54*a + 10 What is the second derivative of -32*i**2*k*t**2 - 2*i**2*k*t - 4*i**2*k - 9*i*t**3 - 20*i*t + 2*k*t wrt t? -64*i**2*k - 54*i*t Find the second derivative of 62*h**2*i**2 - 2*h**2*i*z - 8*h**2*i + 67*h**2 + 2*h*i**2*z + z wrt i. 124*h**2 + 4*h*z Find the third derivative of -4654*o*z**3 + 2*o*z - 1089*z**2 wrt z. -27924*o What is the derivative of -13124*y - 15269 wrt y? -13124 Find the second derivative of 9*j**5*u - 2*j**5 + 4*j**4 + 3*j*u + 48*j - 2*u wrt j. 180*j**3*u - 40*j**3 + 48*j**2 Find the third derivative of 861*d**3 + 11*d**2 + 49*d wrt d. 5166 Differentiate 43*d*f**3*o + d*f - 2504*d*o + 3*f**3*o with respect to f. 129*d*f**2*o + d + 9*f**2*o Differentiate -a*d**2 + 12610*a + 2198*d**2 - 2*d wrt d. -2*a*d + 4396*d - 2 Differentiate 359*z**4 + 2*z + 612. 1436*z**3 + 2 Differentiate 422*b*v + 24*v - 11 with respect to b. 422*v What is the derivative of -251*m*s**4 + 125*m - 2*s**2 + 1 wrt s? -1004*m*s**3 - 4*s What is the second derivative of -7*i**5*j - 8*i**3*j**3 + i**3 - 65*i + j**3 wrt i? -140*i**3*j - 48*i*j**3 + 6*i What is the third derivative of -631*a**3 - 370*a**2 wrt a? -3786 Find the third derivative of 5144*h**5 + 1038*h**2 wrt h. 308640*h**2 Find the third derivative of -4*o*u**4 + o*u**3 - o*u**2 + o*u + 3*u**4 + 3*u**3 - 4082 wrt u. -96*o*u + 6*o + 72*u + 18 What is the third derivative of 2*h*j**5*t + h*j**2*t + h*t + 6*j**6 - 4*j**3*t - 8*j**2 wrt j? 120*h*j**2*t + 720*j**3 - 24*t Find the first derivative of 404*d**4 - 548 wrt d. 1616*d**3 What is the second derivative of -2*m**2*z + 7*m**2 + m*z + 284*m wrt m? -4*z + 14 What is the derivative of -3*g*h + 7*g + 141*h - 1 wrt g? -3*h + 7 What is the third derivative of 2*z**4 + 15*z**3 - 574*z**2 wrt z? 48*z + 90 Differentiate -3404*y**2 + 2829 with respect to y. -6808*y Find the third derivative of -5307*v**3*w**2 + v**2*w**2 - 6*v**2 + 173*v wrt v. -31842*w**2 Find the third derivative of -10669*j**3 + 12*j**2 + 4*j + 26. -64014 Find the third derivative of 2*a**3*d**2 + 74*a**3 + 5*a**2*d**2 + 6*a**2 + d**2 wrt a. 12*d**2 + 444 Find the third derivative of 5*b*p**4*q + b*p**2*q + 64*p**3*q + 45*p**2*q + 2*p*q + 6*q wrt p. 120*b*p*q + 384*q What is the third derivative of 5*k**4 + 4*k**3 - 357*k**2 wrt k? 120*k + 24 Find the second derivative of 411*m**4 - 208*m wrt m. 4932*m**2 What is the third derivative of 17*y**6 - 1095*y**2 wrt y? 2040*y**3 What is the third derivative of 1037*u*w**3 + 2*u*w**2 + 3*u*w + 147*w**2 wrt w? 6222*u What is the derivative of -200*m**2 + 317 wrt m? -400*m What is the third derivative of f**5*l + 332*f**3*l**2 - 4*f**2*l - 4*f*l**2 - 1 wrt f? 60*f**2*l + 1992*l**2 What is the derivative of -286*f*r*u - 43*f*r - 12*r**2*u + 82*r**2 wrt u? -286*f*r - 12*r**2 What is the second derivative of -2417*l**2 - 883*l - 1 wrt l? -4834 Differentiate -12*i*m**2*v - 22*i*v**3 - 4*m**2*v**2 + 3*m**2*v - 5*v**3 wrt i. -12*m**2*v - 22*v**3 Find the second derivative of 13005*h**2 - 271*h + 32. 26010 Find the second derivative of -10767*m**2 - 12*m + 14 wrt m. -21534 Differentiate 6*c**2 + 16*c*g**2 + 56*g**2 with respect to c. 12*c + 16*g**2 What is the third derivative of 26*g**2*p**3 + 2*g**2*p**2 - 9*g**2*p - g*p**3*x - 3*g*p*x**3 + g*p*x + p**3*x**3 wrt p? 156*g**2 - 6*g*x + 6*x**3 What is the first derivative of -2445*j**2*y - y - 25 wrt j? -4890*j*y What is the derivative of 13*k**4*z - 2*k**3 + 13*k*z + 1000*z wrt k? 52*k**3*z - 6*k**2 + 13*z What is the third derivative of -1657*x**4 - 3*x**2 - 1639 wrt x? -39768*x Differentiate 4536*g*j + 10158*j wrt g. 4536*j What is the second derivative of 204*v**4 - 237*v? 2448*v**2 Find the second derivative of 305*g**5 - 3602*g. 6100*g**3 What is the third derivative of 2*r**6 - 16*r**5 + 227*r**2 - 4 wrt r? 240*r**3 - 960*r**2 Find the first derivative of -15*t**3 + 2*t**2 + 16*t + 499 wrt t. -45*t**2 + 4*t + 16 Find the first derivative of -2*q**3 + 42*q - 359 wrt q. -6*q**2 + 42 What is the first derivative of -11*f**3*q**3 + 474*f**3*q**2 + 2*q**3 - 3017 wrt f? -33*f**2*q**3 + 1422*f**2*q**2 What is the second derivative of -14*b**3 - b**2 + 217*b + 2 wrt b? -84*b - 2 What is the third derivative of 235*j**6*v**2 + 43*j**2*v**2 + 2*j**2*v wrt j? 28200*j**3*v**2 What is the third derivative of 99*l**6 - 262*l**2? 11880*l**3 Differentiate -555*c*q**2 - 4*c*q - 31*q**2 - 5 wrt c. -555*q**2 - 4*q Find the third derivative of 455*b**6 + b**4 + 2*b**2 + 20*b. 54600*b**3 + 24*b What is the second derivative of 2*m*z**2 + 17*m*z - 47*z**2 - 3*z wrt z? 4*m - 94 Find the third derivative of 92*g**6*m**2 + 2*g**6 - 7*g**2 - g*m**2 + 27*g wrt g. 11040*g**3*m**2 + 240*g**3 What is the first derivative of -5*h**3 + 3*h**2 - 662 wrt h? -15*h**2 + 6*h What is the second derivative of -b**2*f**3*w - b**2*f**2*w - 31*b**2*w**2 + 11*b*f**2 - 4*b*f*w**2 - f**3 wrt b? -2*f**3*w - 2*f**2*w - 62*w**2 What is the third derivative of -983*b**3*d - 121*b**2 + 3*d wrt b? -5898*d Differentiate -3*k**3*s + 1672*k**3 - 92*s wrt s. -3*k**3 - 92 Differentiate -b**4 - 52*b**3 + 328. -4*b**3 - 156*b**2 What is the third derivative of 138*h**6 - 2*h**5 + 15*h**4 + 2056*h**2? 16560*h**3 - 120*h**2 + 360*h What is the third derivative of -2701*a**2*q**3 - 2*a**2*q**2 - a*q**3 - 15*a*q**2 + 20*a*q wrt q? -16206*a**2 - 6*a Find the third derivative of -2*d**3*h**3*m**3 + 407*d**3*h**3 - 2*d**3*h**2*m + 6*d**3*m**3 + 17*d**2*h**2*m**2 wrt h. -12*d**3*m**3 + 2442*d**3 What is the second derivative of -9*t**4 + 135*t**2 + 1215*t wrt t? -108*t**2 + 270 What is the third derivative of a**5 - 153*a**3 - a**2 + 1343*a wrt a? 60*a**2 - 918 What is the second derivative of 411*n**4 - 6*n**2*x**2 - 2*n*x**2 - 8*n - 152*x wrt n? 4932*n**2 - 12*x**2 Find the third derivative of -2*j**4*y - 3*j**4 - 283*j**3*l + 2*j**2*l + j**2 - 2*j*y + 77*y wrt j. -48*j*y - 72*j - 1698*l What is the second derivative of -4846*x**5 - 2*x**4 + 4160*x? -96920*x**3 - 24*x**2 What is the first derivative of -323*s + 119 wrt s? -323 Find the first derivative of -26*y - 345. -26 What is the third derivative of 950*d**3 - 25*d**2 + 7? 5700 Find the second derivative of 2*g**3*h**2*m + 3*g**3*h*m**3 + 56*g**3*h*m**2 - g**3*h*m - 2*g*h**2*m**3 + 12*h**3 wrt h. 4*g**3*m - 4*g*m**3 + 72*h Find the first derivative of -115*a**2 + 181 wrt a. -230*a What is the third derivative of -5*y**5 + 3*y**4 + 56*y**3 - 2880*y**2 + 2*y? -300*y**2 + 72*y + 336 What is the second derivative of -4*g**3*k*z + 2873*g**3*z**2 + 3*g**3*z + 11*g**2*k**2*z - 2*k**2*z**2 wrt z? 5746*g**3 - 4*k**2 What is the third derivative of 53*r**5*t + r**3*t - 2*r**2 + 497*r*t + 2*t - 1 wrt r? 3180*r**2*t + 6*t Find the first derivative of -66*h**3 + 214 wrt h. -198*h**2 Find the second derivative of 10*g**4*y + g**2*y**2 + g*y**2 + 69*g*y wrt g. 120*g**2*y + 2*y**2 Find the third derivative of -4*g**2*n**4 - 97*g**2*n - 41*g*n**5 - 2*g*n**2 wrt n. -96*g**2*n - 2460*g*n**2 Find the second derivative of -48*c**4 - 23*c**3*y**2 - c*y**2 + c*y + c - 6*y**2 wrt c. -576*c**2 - 138*c*y**2 Find the third derivative of -2*g*o**4*y - 2*g*o**3*y + 171*g*o - 101*o**3*y**2 - o**2 - o*y**2 wrt o. -48*g*o*y - 12*g*y - 606*y**2 What is the second derivative of -73*h**5 - 162*h wrt h? -1460*h**3 Find the second derivative of -a**3*j + 2*a**3*w**2 - 476*a**2*j*w**2 - a*g*j*w**2 - 2*a*g*j*w + 163*g*j wrt w. 4*a**3 - 952*a**2*j - 2*a*g*j Find the third derivative of 4*a**4 + 20*a**3*y + a**2*y - 17*y - 2 wrt a. 96*a + 120*y Find the first derivative of 5*r**4 - 6*r**2 - 67 wrt r. 20*r**3 - 12*r Find the third derivative of 227*x**3 - 142*x**2 + 1. 1362 Find the second derivative of -1722*m**2 - 1045*m wrt m. -3444 What is the derivative of 3*f**2*l**2*z - 32*f**2*l**2 - f**2*z + 3*f**2 + 85*l**2*z wrt z? 3*f**2*l**2 - f**2 + 85*l**2 What is the second derivativ
{ "pile_set_name": "DM Mathematics" }
e (1 + 1)*3/(6/253)? False Let x(m) = -11*m**3 + m**2 - m - 1. Let y be x(2). Let i = 125 + y. Is 18 a factor of i? False Is 3 a factor of (-621)/(-18)*(-4)/(-6)? False Let x(d) = d**2 + 4*d**2 + d**2 - 4*d**2. Is x(-3) a multiple of 9? True Suppose 84 = -13*j + 19*j. Does 3 divide j? False Suppose 2*a - 36 = -a. Suppose -u = -0*u - a. Is 6 a factor of u? True Let n(f) be the first derivative of 20*f**2 + 15*f + 2. Let a(s) = 10*s + 4. Let v(c) = 15*a(c) - 4*n(c). Does 10 divide v(-1)? True Suppose -1 = y - 4. Suppose 2*i + y*i - 20 = 0. Does 2 divide i? True Let h(b) = 3*b - 10. Let o be h(4). Suppose 0 = -3*i - o*i + 110. Is 11 a factor of i? True Let o(n) = -n**2 + 11*n - 11*n. Let h be o(2). Is (-20)/(-3)*(-6)/h a multiple of 5? True Suppose 0 = n - 30 - 10. Is n a multiple of 8? True Let s(l) = -4*l - 7 - 1 + 0. Let c(r) = -r**3 - 3*r**2 + 3*r. Let f be c(-3). Is 14 a factor of s(f)? True Let q = 6 + -17. Let f = 30 + q. Is f a multiple of 19? True Let j be (-10 - -4)*2/(-6). Suppose 5*x + 22 = -m + 2*m, -j*m + 29 = -5*x. Does 5 divide m? False Let h = -77 + 195. Is 31 a factor of h? False Let h(b) = -12*b - 6. Does 9 divide h(-2)? True Suppose -133 = -4*m + j, m - 2*m + 35 = -2*j. Suppose -a + 9 = u, a - 5*u = -0*a + m. Does 13 divide a? True Let p(u) = 20*u**2 + 8*u**2 + 8 - 23*u**2 + 0 + 8*u. Is p(-4) a multiple of 14? True Let f = 50 + 5. Does 26 divide f? False Suppose 44*x - 60 = 43*x. Is 14 a factor of x? False Let g(u) = -112*u - 4 - 2 + 2 + 3. Let v be g(-1). Suppose 0*n + 45 = 2*n + t, -5*n + v = t. Does 11 divide n? True Suppose -r + 2*r = 17. Let o = r + -10. Is o even? False Suppose -2*n + 6*n + 4 = 0. Let b(h) = -49*h - 1. Is 9 a factor of b(n)? False Suppose q = -1 - 0, 4*s - 647 = -q. Is 25 a factor of s? False Let i(t) be the first derivative of -3*t**4 - 2*t**3/3 + t + 8. Does 5 divide i(-1)? False Let x = -10 - -25. Is x a multiple of 8? False Is 12 a factor of -1 - -3 - 0 - -10? True Does 2 divide ((-6)/(-2))/((-3)/(-7))? False Suppose j = -3*j + 180. Suppose 0 = -2*m + m + j. Is m a multiple of 15? True Let b(x) = 7*x - 4. Let h(d) = -13*d + 9. Suppose -4*l + 4 - 16 = 0. Let y(v) = l*h(v) - 5*b(v). Is y(9) a multiple of 15? False Let s(r) = -r**3 - r**2 + 6*r + 8. Is s(-5) a multiple of 26? True Suppose -p - 93 = -5*x + 128, -5*x + 3*p = -213. Does 10 divide x? False Let w(t) = 2*t**2 + 2*t - 10. Let j(y) = -y**2 - y + 5. Let n(f) = -9*j(f) - 4*w(f). Is n(-4) a multiple of 3? False Does 14 divide (239 + 0)*(0 + 1)? False Suppose -4*u = r - 11, -u + 9 = r - 2*r. Let d be (-26)/(-10) - u/(-10). Let i(l) = l**3 - l**2 - 3*l + 4. Is i(d) a multiple of 13? True Let j(a) = a - 1. Let g(w) = -4*w - 7. Let s(n) = g(n) + 2*j(n). Is s(-9) a multiple of 9? True Suppose 4*i - 2*i = 106. Let w = -31 + i. Does 11 divide w? True Suppose -2*w = -8, 0*w - 26 = -2*r - 5*w. Suppose 15 = 4*c + r. Suppose -1 - 3 = 4*b, c*l - 82 = -5*b. Is l a multiple of 13? False Suppose 0 = -2*m - 5*d + 17, 0 = 5*m + 2*d + d - 90. Does 8 divide m? False Suppose -5*j = -29 + 89. Let b be 1 + (1 + 0)*31. Let q = b + j. Is q a multiple of 10? True Does 23 divide (11/(-22))/(2/(-188)) + -1? True Let n(w) = -w**2 - 8*w - 9. Suppose -5*x - 3 = -2*r - 0*x, r + 4*x = -18. Is 3 a factor of n(r)? True Let i = 43 + -2. Let g = 4 + -2. Does 7 divide i/g - 1/2? False Suppose 0*u = 3*u + 4*c - 68, 0 = -5*u - 2*c + 104. Suppose 4*k - u = -0*k. Suppose k*i - 34 = -2*l, i - 17 = -l + 4*i. Is 15 a factor of l? False Does 23 divide 0 + -3 - (-1 - 71)? True Suppose -4*g + 3*q = -10, 5*q = -3*g - 0*q - 7. Let n(h) = 8*h - 1. Is 3 a factor of n(g)? False Let v(k) = k**3 - 7*k**2 + 4. Let r be v(7). Suppose -r*f + 11 = -29. Is f a multiple of 10? True Suppose -m + d + 4 = 0, 3*m - 5*d - 5 = m. Does 3 divide m? False Let t(o) = -o**3 - 9*o**2 + 11*o + 13. Let z be t(-10). Let d(y) = 1 + 0*y + 3 + z*y. Is d(3) a multiple of 13? True Suppose 2*v - 20 = -5*b - 3*v, 0 = -5*b + v + 20. Let u(g) = 2*g**2 - 2*g + 4. Is u(b) a multiple of 14? True Let x = 97 + 151. Is x a multiple of 31? True Let k be 3*(4/(-6) - -2). Suppose 8 + 12 = 4*o, 4 = -b + k*o. Is 8 a factor of b? True Let h(i) = 4*i**2 + 3*i + 3. Let d be 15/(-5) + (-1 - -2). Is h(d) a multiple of 13? True Let d(j) = -2*j**2 + 5*j + 1. Let r(g) = -g**2 + 2*g. Let f(u) = -3*d(u) + 5*r(u). Is 12 a factor of f(-5)? False Let k = 188 + -56. Is k a multiple of 33? True Let o = 671 + -308. Is o a multiple of 31? False Suppose 43 = 2*o - 35. Is 13 a factor of o? True Let t = 45 + -27. Is t a multiple of 18? True Let l(r) = r**3 + 1 + 13*r - 2*r**3 + 7 + 12*r**2. Does 8 divide l(13)? True Let r = 503 - 337. Is r a multiple of 31? False Let n = 5 - 5. Suppose 2*g = -n*g + 6. Suppose 45 = g*w - 33. Is 13 a factor of w? True Let a(p) = p - 20. Let i(h) = 2*h - 20. Let f(t) = -3*a(t) + 2*i(t). Does 4 divide f(-11)? False Suppose -8*v - 168 = -2448. Is v a multiple of 22? False Is 3 a factor of (2/(-7))/((-2)/42)? True Let d(q) = 5*q - 3 - 4 - 2 - 2. Is d(4) a multiple of 5? False Let i(f) = -2*f**3 + 0*f**2 + 3*f**3 - 6*f**2 + 6*f - 4 + 8. Is i(6) a multiple of 18? False Let h = 5 - 1. Suppose -h*r = 3*y - r - 36, 83 = 4*y - 3*r. Suppose -y = -5*i + 3. Is i a multiple of 3? False Suppose 5*z + 27 = -3*r, -2*z + 1 = -r - z. Let i = 9 + r. Is i even? False Suppose 22*m = 15*m + 77. Is m even? False Let d be 2*-4*9/12. Is d/(-3) + (1 - -3) even? True Let x(v) = 3*v. Let a(o) = 13*o - 1. Let r(b) = -2*a(b) + 9*x(b). Suppose -4*m + 29 = 5*q, 31 = 3*m + 2*m + q. Is r(m) a multiple of 8? True Suppose 387 = 4*z + c, 0*c = -3*z - 2*c + 294. Is z a multiple of 24? True Let s = 37 + -66. Let l = s + 52. Is 17 a factor of l? False Let x be 8/12 + 40/(-6). Suppose -k - 1 = -0. Is 12 a factor of (x/(-8))/(k/(-16))? True Let y = 53 - 5. Does 10 divide y? False Does 16 divide (1 - -74) + 0/11? False Suppose 4*r + 3*i - 9 = 0, 4*r - 1 - 6 = -5*i. Suppose -r*p = -138 - 126. Suppose -5*q + 12 = -p. Is q a multiple of 20? True Let i(o) = 8*o**2 - 2*o. Is i(3) a multiple of 33? True Does 16 divide 62 - -14 - 4/(4/3)? False Is -38*-3*(-4)/(-8) a multiple of 14? False Suppose -8*k + 68 = -4*k. Let g(f) = -f**3 + 6*f**2 - 4*f - 1. Let r be g(5). Suppose -4 = -r*l, 0 = -3*n - 5*l - k + 100. Is 13 a factor of n? True Let h be (1 - 1)/(-2) - -5. Let c = h - 2. Is c/(-3) + -1 + 16 a multiple of 7? True Suppose -4*f + 20 = 0, m = -5*f + 180 - 36. Is m a multiple of 21? False Let q(x) = -1. Let w(t) be the second derivative of t**3/2 - 7*t**2/2 + t. Let z(u) = 6*q(u) - w(u). Is 12 a factor of z(-4)? False Suppose -2*o + 104 = x + 3*x, -3*o + 36 = x. Does 24 divide x? True Let g(c) = -2*c + 6. Let t(b) = b**3 + 6*b**2 + 2*b + 8. Let z be t(-6). Let u = -1 + z. Is g(u) a multiple of 8? True Suppose -z + 2*b - 2 = -52, -b - 172 = -4*z. Is 14 a factor of z? True Suppose -2*t + 0*t - 104 = 0. Does 15 divide (-6)/2 - (t - 1)? False Let j(p) be the first derivative of 4*p**4/3 + 3*p**2/2 + 2. Let i(k) be the second derivative of j(k). Is 20 a factor of i(1)? False Let j(l) = l**2 + 9*l + 1. Let a(u) = -10*u. Let f be a(1). Is 11 a factor of j(f)? True Suppose 3*l - 283 - 83 = 0. Is 4 a factor of l? False Let w be ((-12)/1)/2*-9. Let n(z) = 4*z**2. Let o be n(-3). Let g = w - o. Is 18 a factor of g? True Let p = -31 + 38. Is p even? False Let v(h) = 8*h**3 - h - 1. Let i be v(-1). Let z = i - -12. Suppose -3*u - 6 = 0, 5*f = -z*u - u + 50. Is 6 a factor of f? True Is 20 a factor of 4/(-4) + 3 - -18? True Let v(d) = -d - 7. Suppose 5*k + 3*z + 31 = -8, -5*k = z + 43. Let f be v(k). Suppose -10 = -f*y + 4*m, -4*m = 3*y + m - 15. Is 3 a factor of y? False Let t be (20/(-25))/(1/5). Let q = -17 - t. Let l = q - -42. Does 18 divide l? False Let k(r) = -5*r**2 - 10*r + 12. Let v(y) = y**2 + y - 1. Let a(u) = k(u) + 4*v(u). Let f be ((-2)/5)/((-1)/(-15)). Is 5 a factor of a(f)? False Let n(j) = -j**3 + 9*j**2 + 8*j - 12. Does 33 divide n(8)? False Suppose 0 = -2*g - 9 + 43. Let z = -7 + g. Does 5 divide z? True Let i be 2/6 + (-596)/(-12). Let s = i - 2. Is s a multiple of 16? True Let l(m) = m**3 - 2*m**2 + 4*m - 3. Let b be l(2). Suppose b*u - 16 = -1. Suppose -k = 4*r + 13 - 0, u*k + 2*r - 1 = 0. Is k a multiple of 2? False Let o = 2 + 5. Does 16 divide o*5/(70/36)? False
{ "pile_set_name": "DM Mathematics" }
the nearest one hundred. -4000 Let n = 2982 - 2981.997429. Let u = -0.002 + n. Round u to five decimal places. 0.00057 Let l = -42.6 - 17.4. Let h = 60.0000176 + l. What is h rounded to five decimal places? 0.00002 Let h = 3543 - 3543.000613. Round h to four decimal places. -0.0006 Let v = 32 - 31.87. Let r = 0.609 - 0.473. Let i = v - r. What is i rounded to 2 dps? -0.01 Let q = -22978 + 22977.9999871775. Round q to 6 decimal places. -0.000013 Let j be (-18)/36*(3 - 3). Suppose -4*u + 3*d = 27240003, j*u = 4*u - 2*d + 27240002. What is u rounded to the nearest 100000? -6800000 Let c(b) = b**2 - 3*b - 1. Let p be c(-1). Let t be 5 + -21980007 - (p - (-2 + 7)). Round t to the nearest 1000000. -22000000 Let u = -13.406995 + 12.3219461. Let j = -1.085 - u. What is j rounded to six dps? 0.000049 Let j = -22.55 - -22.5498205. Round j to four decimal places. -0.0002 Let r = 0.81 + -17.61. Let l = r - -16.79472. What is l rounded to 4 dps? -0.0053 Let t be 4/14 - (-1075)/35. Suppose -4 - 13 = n - 5*w, t = 5*n + 4*w. Let g be -3 + -1 + n - -140001. Round g to the nearest one hundred thousand. 100000 Let o = 29247.800137243 - 29247.8. What is o rounded to five decimal places? 0.00014 Let b(v) = -27*v**3 - 59*v**2 - 4*v + 60. Let n be b(15). Round n to the nearest ten thousand. -100000 Let n = 6.98 + -0.48. Let k = n - 6.5001013. Round k to six decimal places. -0.000101 Let g = -55.1 - 5.9. Let t = g + 68. Let s = t - 7.0000032. What is s rounded to 6 decimal places? -0.000003 Let u(y) = -4330*y - 50. Let r be 3/((-42)/(-4)) + 61/7. Suppose -i + 6 + r = 0. Let w be u(i). Round w to the nearest ten thousand. -70000 Let i = 427.3376 - 427. Let y = i - 0.0106. Let b = y + 0.018. Round b to 2 decimal places. 0.35 Let v = 30.559 - 1.719. What is v rounded to the nearest ten? 30 Let q = 96848 + -193418. What is q rounded to the nearest one thousand? -97000 Suppose -5*v + 77640 = -5*n, 25075 = 3*v + 5*n - 21477. What is v rounded to the nearest 100? 15500 Let c be ((-36)/(-24)*-9)/((-2)/(-2076000)). What is c rounded to the nearest 1000000? -14000000 Suppose -8*x + 17 + 23 = 0. Suppose -3*s + 8 = u - s, u - 17 = -x*s. Suppose 4*g + 22965 = -u*w + 82961, -4 = 4*g. What is w rounded to the nearest 10000? 30000 Let k = -1.48 + 1.03. Let x = 404 - 403.517. Let h = x + k. Round h to 2 decimal places. 0.03 Let r = -117 - -116.27. Let y = r + 28.73. Let c = y - 27.963. Round c to one dp. 0 Let v(z) = 6401*z + 17. Let r(c) = -12802*c - 40. Let a(x) = -6*r(x) - 14*v(x). Let l be (-2)/4*(-2 + 0). Let h be a(l). Round h to the nearest 1000. -13000 Let w be 6/((-2)/8 - (-16)/(-32)). Let z be 67802 - ((-56)/w - 5). What is z rounded to the nearest 10000? 70000 Let r = 35 + -65. Let k = -28 - r. Suppose -g = -2*g - k*c - 1679992, g + c = -1679996. What is g rounded to the nearest 100000? -1700000 Let h = 3833.8605 - 3834. Round h to two dps. -0.14 Let p = 45 - 43. Let v(b) = -2*b + 4*b - 7*b + 1711113*b**p - 2. Let h be v(3). What is h rounded to the nearest one million? 15000000 Suppose -o = 5*d + 13293, 63*o - 26575 = 65*o - d. Round o to the nearest one hundred. -13300 Suppose -1918600 = -242*t + 252*t. What is t rounded to the nearest 10000? -190000 Let n be (-60)/21 - (-2)/(-14). Let f be n + 0/1 - (316 + -3). Let s be (f + -3)*6 - -4. Round s to the nearest 100. -1900 Let v = 13182 + -13182.0016246. What is v rounded to three dps? -0.002 Let q = -5.412012 - -318.447112. Let b = q + -313. Round b to two dps. 0.04 Suppose -24*k + 801372000 = 43*k + 11*k. What is k rounded to the nearest 1000000? 10000000 Suppose -5*t = 3*j + 38637, -t - 4*j - 747 = 6960. What is t rounded to the nearest one hundred? -7700 Let u be ((20/5 - 0) + 9156)*19500. What is u rounded to the nearest 1000000? 179000000 Let f = -0.308895 - -0.3142. Round f to 4 dps. 0.0053 Let r(y) = 967*y - 182. Let g be r(7). Let n = g + 17073. What is n rounded to the nearest 1000? 24000 Suppose -13*s - 3 + 42 = 0. Let i(u) = 3*u + 209*u**2 + 26 - s*u - 46 - u. Let o be i(9). What is o rounded to the nearest one thousand? 17000 Let s be -1 + 1 + (-1 - -5). Suppose p + 4274976 = s*t + t, -2565004 = -3*t - 4*p. Suppose 5*b + 3*i + i = -t, -4*b - 683999 = i. Round b to the nearest 10000. -170000 Let i = -20494 - -20641.3. Round i to the nearest one hundred. 100 Let i = 131.859 - -0.141. Let g = i + -148.95. What is g rounded to 0 decimal places? -17 Let j = -0.043737 - -133.049737. Let m = j + -133. What is m rounded to 2 decimal places? 0.01 Let o = 364.46 + -364.4584681. What is o rounded to 4 decimal places? 0.0015 Suppose 35*x - 82*x = 63*x + 258489000. Round x to the nearest ten thousand. -2350000 Let u = 26.21 + -53.68. What is u rounded to zero dps? -27 Let w = 38 + -62. Let r = 0.85429 - 24.86079. Let m = r - w. What is m rounded to 2 dps? -0.01 Let b = -487.42 + 3815. What is b rounded to the nearest 100? 3300 Let k(z) = -58*z**2 - 11*z + 1. Let w(i) = i. Let a(j) = k(j) + w(j). Let c be a(4). Let v = -537 - c. Round v to the nearest 100. 400 Let r = 51209.1561 + -51260. Let w = 51.0839105 + r. Let d = w + -0.24. Round d to 6 decimal places. 0.000011 Let m = -8.123 - 41.747. Let w = -50 - m. Let d = -0.062 - w. What is d rounded to 2 dps? 0.07 Let j(x) be the first derivative of x**4/2 - 4*x**3/3 - x**2/2 + x + 7. Let p be 1*4 + (36 - 37). Let f be j(p). What is f rounded to the nearest 10? 20 Let l = -10087.999986925 - -10088. What is l rounded to 7 dps? 0.0000131 Let m = -1841 - -1840.999998768. Round m to 6 decimal places. -0.000001 Let m = -1328.354 - -1595.3496. Let v = m - 267. What is v rounded to three dps? -0.004 Suppose 2*v + 23 = 2*o + 5*v, 0 = -4*o - 4*v + 44. Suppose 14*n - o*n = 103200000. What is n rounded to the nearest 1000000? 26000000 Let i = -2.3 + -5. Let o = -4.973 + -2.3246. Let b = i - o. Round b to four decimal places. -0.0024 Let q = 702.4 + 2204.1. What is q rounded to the nearest ten? 2910 Let x(y) = -y**3 + 19*y**2 + 42*y + 8. Let d be x(21). Suppose 2*r = 2*j - 2314, 3*j + 5809 = d*j + r. Round j to the nearest 100. 1200 Suppose 144548005 + 148359365 = -411*j. What is j rounded to the nearest one hundred thousand? -700000 Let q be ((-28)/6)/(-1*2/3). Let n = q + -13. Let f be (((-72)/10)/n)/((-2)/1350). Round f to the nearest one hundred. -800 Let j = -388.04211 + 388.2. Round j to three decimal places. 0.158 Let x be ((-3255472)/(-32) + -21)*(1 - -231). Round x to the nearest 100000. 23600000 Let y = 241 - 265.9. Let n = y + -4.1. Let m = 29.00061 + n. What is m rounded to 4 dps? 0.0006 Let q be 40/(45330/(-226150) + 10/50). Round q to the nearest one hundred thousand. -100000 Let d = 12615.9987474 - 12616. What is d rounded to four decimal places? -0.0013 Let p = -915 + 2055. Let s be ((-11309)/(-3) + (5 - 8))*p. What is s rounded to the nearest one hundred thousand? 4300000 Let q = -31 + 33. Suppose q*n + 16 = 22. Suppose -n*o = -c + 113100003, c + 282708597 - 94208600 = -5*o. What is o rounded to the nearest one million? -38000000 Suppose r + 3*o = -3 + 18, o - 5 = 5*r. Suppose r = -5*s + 4*s + 310000. What is s rounded to the nearest 100000? 300000 Suppose -18481046 = 2*t + 5*q, 5*t + 46202596 = -8*q + 5*q. Let s = t - -4540518. Round s to the nearest one million. -5000000 Let w = 88488 - 124401. Let p = 927 - w. What is p rounded to the nearest 1000? 37000 Suppose -5*u + u = 0, -2*u = 94*m - 90*m - 28928000. Round m to the nearest 1000000. 7000000 Let q = -3 - 27. Let z = -0.4561 + -29.4649. Let x = q - z. Round x to 2 dps. -0.08 Let u = 2.150546 + 0.187634. Round u to one decimal place. 2.3 Let x = 83.530004669 + -83.53. What is x rounded to six decimal places? 0.000005 Let j = -209 - -66. Let v = j - -85. Let g = v + 57.99922. What is g rounded to four dps? -0.0008 Let m(z) = -34*z + 68. Let t be m(2). Suppose t = w - 7*g + 2*g - 7105, -28545 = -4*w - 5*g. Round w to the nearest one thousand. 7000 Let j = 109 - 129. Let x be (-25)/j - (5795967/12 + 4). What is x rounded to the nearest 100000? -500000 Let z = 0.439430551 + 222.560580349. Let i = z - 223. What is i rounded to five decimal places? 0.00001 Let t = 22 - 49. Let l = -25 - t. Suppose -4*q = -3*q + 5*f + 97, -q - l*f - 103 = 0. What is q rounded to the nearest 10? -110 Suppose q + 388080010 = -54*w + 49*
{ "pile_set_name": "DM Mathematics" }
Let l(a) = -a**3 - 12*a**2 + 15*a + 1. Let f be l(-13). Calculate the remainder when ((-1)/(10/(-24)))/((-10)/f) is divided by 2*(9/6 - 0). 0 Let o(i) = 1803*i + 11088. Calculate the remainder when 627 is divided by o(-6). 87 Suppose -5*w - 5 + 20 = 0. Suppose 4*i + w = 71. What is the remainder when 49 is divided by (0/3 + i)/(0 - -1)? 15 Let s(o) = o**2 - o - 103. Let p be s(-11). Suppose 371 = 10*d - p. What is the remainder when 134 is divided by d? 14 Let o = 570 + -559. Let r = -35 - -61. Let p = 15 + r. Calculate the remainder when p is divided by o. 8 Let j = -21743 + 30708. What is the remainder when j is divided by 78? 73 Calculate the remainder when (-14 + 5)*(2/8 + 6836/(-16)) is divided by 74. 69 Suppose 2*o = -3*h + 47, 1 = -3*o + 13. What is the remainder when (6 - 11)*((-1)/(-5) - (-5 + 54)) is divided by h? 10 Suppose -3*b + 549 = 4*j, 6*j - 770 = -4*b + 7*j. Calculate the remainder when b is divided by 20. 11 Let s(z) = z**2 - 86*z + 1798. Let p = 33 - 9. Calculate the remainder when p is divided by s(51). 11 Suppose -11*h - 3696 = 11*h. What is the remainder when 235 is divided by h/(-64)*-4*(-20)/7? 25 Suppose 4*g - 2*s = -741 + 2893, -2*g = 2*s - 1088. Calculate the remainder when g is divided by 135. 0 Let v(t) = t**2 + 16*t - 1. Let g(c) = -2*c**2 + 5*c + 3. Let z be g(-6). Let b = -20 - z. What is the remainder when b is divided by v(-17)? 15 Let o = -8968 - -11728. Calculate the remainder when o is divided by 11. 10 Let z = -5209 - -5853. Calculate the remainder when 2580 is divided by z. 4 Let c(a) = 2*a**2 - 99*a + 24. Let l be c(7). Let f = l - -695. Calculate the remainder when f is divided by 32. 28 Suppose -143*r - 147835 = -379209. What is the remainder when r is divided by 393? 46 Let m = 241 + -229. What is the remainder when 105 is divided by m? 9 Let a(f) = 4675*f + 32764. Suppose -3*o + 0*o = -117. Calculate the remainder when o is divided by a(-7). 0 Let s be (39/26)/(6/(-40)). Let c(d) = -d**3 - 7*d**2 + 21*d - 2. Calculate the remainder when 177 is divided by c(s). 1 Let a = 8352 - 8171. Calculate the remainder when a is divided by 84. 13 Let c(t) = 9*t**2 - 11*t + 10. Let n(f) = -4*f**3 + 35*f**2 + 8*f + 13. Let u be n(9). Let d = 16 + -2. Calculate the remainder when c(u) is divided by d. 12 Let n(j) = 44*j**2 - 494*j - 990. Suppose 2*i = 88 + 4. What is the remainder when n(-2) is divided by i? 36 Let j(u) = 3*u**2 + 7*u - 10. Suppose -4327*w = -4329*w + 134. Calculate the remainder when w is divided by j(-6). 11 Let q be ((-10642)/51)/(2/(-3)) - 4. Suppose -q = -18*r + 159. What is the remainder when 41 is divided by r? 15 Let x be (-5)/((-20)/102)*(-40)/(-60). Suppose 7*n = x*n - 310. What is the remainder when n is divided by 26? 5 Suppose -3*z - 2*a - 34 = 36, 0 = 4*a - 16. Suppose -37*d - 74 = 96 - 133. What is the remainder when 90 is divided by 13/z*26/d? 12 Let j(f) = -114*f - 187. What is the remainder when j(-7) is divided by 40? 11 Suppose 22*d - 3360 = 30*d - 20*d. Calculate the remainder when d is divided by 82. 34 Suppose -a + 4 = x - 40, 0 = -4*a - 2*x + 178. Let n be ((-33)/6 + 6)*-16. Calculate the remainder when (80 - (n - 2)) + -6 is divided by a. 39 Suppose -f + 3*f = 2, -d = -4*f. Calculate the remainder when 285/(-9)*(-2 + -1) is divided by 84/(-3 + 6) - d. 23 Suppose -3*v - 99 = -105. Calculate the remainder when 207 is divided by v. 1 Suppose -h - 5*g + 34 = 0, 3*h - h - 96 = 4*g. Suppose -14*y - 1590 = -h*y. Calculate the remainder when y is divided by 7. 4 Let o(r) = -r**3 + 6*r**2 - 9*r + 4. Let q be o(4). Suppose q = x + 2*v - 89, 5*x - 445 = 7*v - 11*v. Calculate the remainder when x is divided by 18. 17 Let h be -5*(-6)/(-70) + 219/21. Let o(c) be the third derivative of c**4/12 + 2*c**3 - 2*c**2. What is the remainder when o(h) is divided by 17? 15 Suppose 3*d - 16 = -3*r + 5, 3*r = -3. Let y(g) = 2*g - 14. Let b(z) = 5*z - 41. Let c(s) = d*y(s) - 3*b(s). What is the remainder when c(-6) is divided by 4? 1 Let q(i) = -35*i + 145. Let b(l) = 18*l + 238. Let m be b(-13). What is the remainder when 447 is divided by q(m)? 2 Let m(c) = c**2 - 2*c + 65. Let x be m(17). Let s = 375 - x. Calculate the remainder when s is divided by 14. 13 Suppose -7*z + 8*z - 284 = 568. Calculate the remainder when 1706 is divided by z. 2 Let c = 5926 + -4758. What is the remainder when c is divided by 147? 139 Let i(q) = -519*q + 6272. Calculate the remainder when i(12) is divided by 13. 5 Let u = 624 + -607. What is the remainder when 2802 is divided by u? 14 Suppose -19*f + 18*f - 192 = 0. Let x = f - -200. What is the remainder when 47 is divided by x? 7 Let x(n) = 664*n - 6816. What is the remainder when x(11) is divided by 152? 32 Let w(n) = -3*n**3 + 4*n**2 + 15*n - 3. Let r be w(6). Let o = -372 - r. What is the remainder when 313 is divided by o? 43 Let x(z) = -2*z**2 + 7*z + 8. Let g be x(6). Let w = g + 36. What is the remainder when (-3)/18*-114 - (-5 + 0) is divided by w? 10 Calculate the remainder when 1063 is divided by 40 + 0 + -2 + (-34 - -34)/(-34). 37 Calculate the remainder when 1031 is divided by ((-19)/(-38))/(1/444). 143 Suppose -3*p = 28 + 41. Let v = p - -39. What is the remainder when 57 is divided by v? 9 Suppose 38 = -4*s - 134. Suppose -5*d = -484 + 89. Let b = s + d. Calculate the remainder when b is divided by 13. 10 Calculate the remainder when 832 is divided by (6145/10 + 5)*(0 - (-4)/6). 6 Let f(p) = -4 + 16*p**2 + 17*p - 15*p + 5. Let g(c) = c**3 - c**2 - 55*c + 25. Calculate the remainder when f(2) is divided by g(0). 19 Let k = -10745 - -10823. What is the remainder when 302 is divided by k? 68 Let j(x) = -x**3 + 15*x**2 + 44*x - 392. What is the remainder when 452 is divided by j(16)? 4 Let p = -178 - -176. Let d(n) = 7*n**2 + 4*n + 5. Calculate the remainder when d(p) is divided by 15. 10 Suppose 0 = 8*b - 194 - 2214. Let s = b + -274. Calculate the remainder when 77 is divided by s. 23 Calculate the remainder when 216/14*(-6 - (-248)/40)*35 is divided by 20. 8 Let v(i) = -23*i**3 + 2*i**2 + 5*i + 4. Suppose -4*o + 4*p = -428, 2*p = 4*o - 3*p - 431. What is the remainder when o is divided by v(-1)? 8 Let o(l) = -64*l + 3654. Calculate the remainder when o(55) is divided by 43. 5 Calculate the remainder when 1/(252224/16814 + -15) is divided by 43. 40 What is the remainder when 3058 - (3/(-12))/((-5)/(-20)) is divided by 18? 17 Suppose 5*j + 1 = -4. Let a be 4 - (0 + 2 + j). Suppose -22 + 1 = -a*x. Calculate the remainder when 20 is divided by x. 6 Let q = 6652 + -6611. What is the remainder when 113 is divided by q? 31 Let w(a) = 15*a - 16. Suppose 16*c - 648 = -11*c. Calculate the remainder when w(c) is divided by 23. 22 What is the remainder when 4/50 - -18365*(-38)/(-4750) is divided by 72? 3 What is the remainder when 161*(282/(-47))/(1*-3) is divided by 113? 96 Suppose 82 = -u + 67. Let x(k) = -k**3 - 16*k**2 - 21*k + 11. Calculate the remainder when x(u) is divided by 8. 5 Suppose 4*w + 13 - 57 = -5*x, 5*x - 4*w = 76. Calculate the remainder when 283 is divided by x. 7 Suppose -27*m + 11*m + 1424 = 0. Suppose 876*j + m = 877*j. Calculate the remainder when 622 is divided by j. 88 Let y(l) = 64*l**2 - 783*l - 1. Calculate the remainder when y(-6) is divided by 206. 203 Let j = 1999 - 1979. What is the remainder when (-89 - (-2)/2)*-2 is divided by j? 16 Suppose 0 = -71*f + 10358 - 10476 + 32352. Calculate the remainder when f is divided by 148. 10 Suppose -4*r - 4*z = -9*r + 377, -3*r + 210 = 3*z. Calculate the remainder when r is divided by 64. 9 Suppose 2*z + 299 + 142 = 5*f, 263 = 3*f - 2*z. Let i = -86 + f. Calculate the remainder when 12 is divided by i. 0 Suppose 10680 = -21*x - 9*x. Let o = 357 + x. What is the remainder when 1 is divided by o? 0 Suppose 5*k - 40 = 2*n, 3*n = -3*k + 6 - 3. Suppose -o = -k*o + 395. Calculate the remainder when o is divided by ((-4)/6)/(-1)*15. 9 Let m(k) = -7*k + 371. Let l be m(34). Suppose 2*j + 459 = 5*j + 3*t, -j + 3*t + l = 0. Calculate the remainder when j is divided by 39. 31 Suppose 47 = 21*f - 457. Suppose -9*b = -f*b + 240. Calculate the remainder when 87 is divided by b. 7 Let t(r) = -25 - r**2 + 0*r**2 + 0*r**2 + 68. Suppose -7*a + 105 + 0 = 0. Calculate the remainder when t(0) is divided by a.
{ "pile_set_name": "DM Mathematics" }
ding order. -4, 5, 7, 13 Sort 6, -1, 1, -2. -2, -1, 1, 6 Sort 2, 3/7, -19. -19, 3/7, 2 Sort 0.4, 2, 3, 3.68, 4 in ascending order. 0.4, 2, 3, 3.68, 4 Put 4.5, 1/4, -2 in ascending order. -2, 1/4, 4.5 Sort -3, 5/3, -5/13 in decreasing order. 5/3, -5/13, -3 Sort 0, 0.01, 9. 0, 0.01, 9 Sort 105, 0.4, -0.5 in descending order. 105, 0.4, -0.5 Sort -0.3, -1, -0.5, 4.3. -1, -0.5, -0.3, 4.3 Sort -1, 3, 6, -12 in increasing order. -12, -1, 3, 6 Sort -3, 3, 14, 4 in descending order. 14, 4, 3, -3 Sort 211, 1, 8 in ascending order. 1, 8, 211 Sort 36, 5, -4. -4, 5, 36 Sort -4, 2586, 4 in descending order. 2586, 4, -4 Sort 2/15, -2, 165 in increasing order. -2, 2/15, 165 Put -2, 1/2, -3, 22 in ascending order. -3, -2, 1/2, 22 Put 2/7, 22/7, -1, -4 in descending order. 22/7, 2/7, -1, -4 Put 8, 1, -7 in decreasing order. 8, 1, -7 Sort -294, 1, -0.1. -294, -0.1, 1 Sort -2/13, -3.06, -0.3. -3.06, -0.3, -2/13 Sort 3, 5, 493 in descending order. 493, 5, 3 Sort 5, -71, 22 in decreasing order. 22, 5, -71 Put 58, -3, 4, 5 in descending order. 58, 5, 4, -3 Put 15, -0.1, 0.3, 4 in increasing order. -0.1, 0.3, 4, 15 Sort 0, 0.03, -4 in decreasing order. 0.03, 0, -4 Sort 2/55, 1, -0.2 in increasing order. -0.2, 2/55, 1 Put 3, 4, 8, 6 in descending order. 8, 6, 4, 3 Sort -1/2, -16, -302, -1 in decreasing order. -1/2, -1, -16, -302 Put 1, -163, 2, 3, -3 in descending order. 3, 2, 1, -3, -163 Put -4, 5, -12, -0.1 in decreasing order. 5, -0.1, -4, -12 Put 5, -2, -17, -1 in increasing order. -17, -2, -1, 5 Sort -0.17, -0.1, 0.03 in decreasing order. 0.03, -0.1, -0.17 Put -5, 242, -3 in increasing order. -5, -3, 242 Put -4, -7, 112, -3/4 in ascending order. -7, -4, -3/4, 112 Sort 0.4, -0.1, 2/7, 0.1, -311 in descending order. 0.4, 2/7, 0.1, -0.1, -311 Sort -1, 11, -4, 20 in descending order. 20, 11, -1, -4 Sort 0.033, -1, -4 in ascending order. -4, -1, 0.033 Sort -3, -2, 31, 3, 5 in increasing order. -3, -2, 3, 5, 31 Sort 78, -4, -3. -4, -3, 78 Sort 1, 23/5, 0.04, 0, -3/7. -3/7, 0, 0.04, 1, 23/5 Sort -188, -4, 0, 4, -5 in increasing order. -188, -5, -4, 0, 4 Sort 18, -8, 4, -0.3 in descending order. 18, 4, -0.3, -8 Sort -2, 1220, -3. -3, -2, 1220 Sort 12, 9, 0.2, 8, 5. 0.2, 5, 8, 9, 12 Put -4, 46, 4, 17 in descending order. 46, 17, 4, -4 Sort -1, -1/83, -4/13, -1/2. -1, -1/2, -4/13, -1/83 Put -280, 0, -5 in increasing order. -280, -5, 0 Sort -755, 3, 4 in decreasing order. 4, 3, -755 Put -3, 1, -7, -4 in decreasing order. 1, -3, -4, -7 Sort 1/3, 2/117, 0 in decreasing order. 1/3, 2/117, 0 Put -2, -17, 1, 7, -6 in descending order. 7, 1, -2, -6, -17 Put -1, -0.2, 1/22, 0.5 in increasing order. -1, -0.2, 1/22, 0.5 Sort 5, -2/11, -12, -4 in descending order. 5, -2/11, -4, -12 Sort -1/4, -0.2, -2/11, -269, 3 in increasing order. -269, -1/4, -0.2, -2/11, 3 Put 3/5, -0.1, 4, 6/13 in ascending order. -0.1, 6/13, 3/5, 4 Sort -1, 3, 6, -4. -4, -1, 3, 6 Put 0.5, 11, -4, -0.1 in decreasing order. 11, 0.5, -0.1, -4 Put -1/12, 0.1, -1/2, 5 in descending order. 5, 0.1, -1/12, -1/2 Sort -3, 1/9, 3 in descending order. 3, 1/9, -3 Put 5, 1, -17, -2, 0 in descending order. 5, 1, 0, -2, -17 Sort 7/157, -0.4, 2/7 in ascending order. -0.4, 7/157, 2/7 Put 5.05, -0.4, 5 in descending order. 5.05, 5, -0.4 Sort -2/231, -0.5, -2/3, 0.5. -2/3, -0.5, -2/231, 0.5 Put -10, -4, 1/6, -0.5 in ascending order. -10, -4, -0.5, 1/6 Put 91, 2, 5 in decreasing order. 91, 5, 2 Sort -2, -0.2, -0.4, 0.5, 3/4 in decreasing order. 3/4, 0.5, -0.2, -0.4, -2 Put 4, 9106, 3 in descending order. 9106, 4, 3 Put -2, 138, -4 in ascending order. -4, -2, 138 Sort -1, 3, 0, -5 in decreasing order. 3, 0, -1, -5 Put -41, -30, -4 in ascending order. -41, -30, -4 Sort -20/9, 0.1, 0.3 in decreasing order. 0.3, 0.1, -20/9 Put -3, -1, -5/6, 14 in descending order. 14, -5/6, -1, -3 Sort -3/4, 1/7, -0.3, -0.2 in descending order. 1/7, -0.2, -0.3, -3/4 Put -3, -4, 5, -45 in decreasing order. 5, -3, -4, -45 Sort -62, 55, 0.4. -62, 0.4, 55 Sort 5, 4/9, 0, 0.3, -0.4 in ascending order. -0.4, 0, 0.3, 4/9, 5 Sort 13, 5, -2, 0. -2, 0, 5, 13 Put 64, 5, -2, -1, 3 in ascending order. -2, -1, 3, 5, 64 Sort -10, 1, -2 in ascending order. -10, -2, 1 Sort 447, 6, 5, 0, -3 in increasing order. -3, 0, 5, 6, 447 Put -6, 108, 0, -4 in descending order. 108, 0, -4, -6 Put -5, 3, 1, 1004 in descending order. 1004, 3, 1, -5 Sort 212, 0, 2 in ascending order. 0, 2, 212 Put 49, 1, -1/5 in decreasing order. 49, 1, -1/5 Sort 4, 3.6, 0, 3. 0, 3, 3.6, 4 Sort -5, -2, -1.16, -7 in increasing order. -7, -5, -2, -1.16 Put -48, 3, -4 in decreasing order. 3, -4, -48 Sort -0.2, 2/15, 2/27 in increasing order. -0.2, 2/27, 2/15 Sort 22, -7, 1 in increasing order. -7, 1, 22 Sort -3/7, -0.1, -6, -0.2 in decreasing order. -0.1, -0.2, -3/7, -6 Put -10, 6, -2 in decreasing order. 6, -2, -10 Sort -5, 5, 6 in increasing order. -5, 5, 6 Put -4, 2, 4, -15 in decreasing order. 4, 2, -4, -15 Put 10, 48, 2 in descending order. 48, 10, 2 Sort 14, 2/13, 2, 0. 0, 2/13, 2, 14 Sort -5, -51, 2. -51, -5, 2 Sort 1, 0.47, 2, 9. 0.47, 1, 2, 9 Sort -5, -20, 5, 1. -20, -5, 1, 5 Put 3.47, 1/2, -3 in decreasing order. 3.47, 1/2, -3 Sort 0.4, 26/5, -0.3, -25 in descending order. 26/5, 0.4, -0.3, -25 Put -6, -2, -1, -8 in decreasing order. -1, -2, -6, -8 Sort 83.03, -5, -3 in descending order. 83.03, -3, -5 Sort -1/4, -1/5, 5, 1/13. -1/4, -1/5, 1/13, 5 Put 5, -2, 0.1, 0.5, -39 in descending order. 5, 0.5, 0.1, -2, -39 Put 35, -5, 5 in ascending order. -5, 5, 35 Put -0.5, 4, -4/19, 0.2, -2/7 in ascending order. -0.5, -2/7, -4/19, 0.2, 4 Put 2, -0.2, -0.193 in decreasing order. 2, -0.193, -0.2 Sort 0.4, 0.059, 4, 1/2, -6. -6, 0.059, 0.4, 1/2, 4 Sort 0, -3, 3. -3, 0, 3 Sort -0.3, -2/15, 7 in decreasing order. 7, -2/15, -0.3 Put -0.1, 3/7, 5, -0.3, -0.4 in descending order. 5, 3/7, -0.1, -0.3, -0.4 Sort 0.032, -5, 72, 0.2. -5, 0.032, 0.2, 72 Sort -0.2, 3/4, -3/5, 0, 35 in increasing order. -3/5, -0.2, 0, 3/4, 35 Sort 1, 0.05, 43. 0.05, 1, 43 Sort 2/5, 1, -5, -435 in increasing order. -435, -5, 2/5, 1 Put 0.4, 3, 1/7, 2, 9/85 in decreasing order. 3, 2, 0.4, 1/7, 9/85 Sort -1/2, 1, 84. -1/2, 1, 84 Sort -1, -2, -3, -68 in increasing order. -68, -3, -2, -1 Sort -4, -2, 7, -10, -3. -10, -4, -3, -2, 7 Put -1, -2/7, 1/5, -2, 3/2 in decreasing order. 3/2, 1/5, -2/7, -1, -2 Put -0.3, 5, 1284 in ascending order. -0.3, 5, 1284 Put 0, -5, 11, -2 in ascending order. -5, -2, 0, 11 Sort 496, 1, 5, 2 in descending order. 496, 5, 2, 1 Sort 1, 5, 4, -3. -3, 1, 4, 5 Sort -10, 2, 12, 0. -10, 0, 2, 12 Sort -9, -4, -2, 2, 3 in ascending order. -9, -4, -2, 2, 3 Put -3, -4, -155, 5 in decreasing order. 5, -3, -4, -155 Sort -3, 2, -284 in descending order. 2, -3, -284 Sort -1, 4, -29, 5 in descending order. 5, 4, -1, -29 Sort 0.2, 344/5, 0. 0, 0.2, 344/5 Sort -1, -4, 13, -5 in ascending order. -5, -4, -1, 13 Put 227, -0.3, -1/4, -3, 3/5 in increasing order. -3, -0.3, -1/4, 3/5, 227 Put 4, 9, -80 in increasing order. -80, 4, 9 Sort 10, -1, 4 in ascending order. -1, 4, 10 Sort 2, 5, -3, 0 in descending order. 5, 2, 0, -3 Sort -2/17, 0.4, -6, -1/3 in ascending order. -6, -1/3, -2/17, 0.4 Sort 0.2, 1, -0.5, -0.1, -2 in increasing order. -2, -0.5, -0.1, 0.2, 1 Sort 6, -469, -1, -3 in decreasing order. 6, -1, -3, -469 Sort 5, -103, -1 in decreasing order. 5, -1, -103 Put 0, 3, -146, -2 in decreasing order. 3, 0, -2, -146 Sort 384, -3, -0.02, 0, 0.2 in descending order. 384, 0.2, 0, -0.02, -3 Put 1/4, -0.49, -1 in decreasing order. 1/4, -0.49, -1 Sort -73, -1, -2, 4. -73, -2, -1, 4 Put 2, -13, -20 in ascending order. -20, -13, 2 Put 1, 0.3, -4, -3 in decreasing order. 1, 0.3, -3, -4 Sort -5, 1, 47. -5, 1, 47 Put -516, 0, -2, 0.3, -1/6 in increasing order. -516, -2, -1/6, 0, 0.3 Put 2/653, -0.2, 7 in descending order. 7, 2/653, -0.2 Sort 3/7, 0.2, 0, 29. 0, 0.2, 3/7, 29 Sort -3, -2/23, 5 in descending order. 5, -2/23, -3 Sort -2, -5, -4, 161, 3 in ascending order. -5, -4, -2, 3, 161 Put -4, -21, 3, 16 in increasing order. -21, -4, 3, 16 Sort 5, -4, -2, -1 in descending order. 5, -1, -2, -4 Sort -2, 27, 4, 0 in ascending order. -2, 0, 4, 27 Put 0.1, 17, 2/13 in descending order. 17, 2/13, 0.1 Put 0, 3, -30, -2, -11 in decreasing order. 3, 0, -2, -11, -30 Sort 44, -2, 3, -5 in decreasing order. 44, 3, -2, -5 Put -2069, 1, 0 in ascend
{ "pile_set_name": "DM Mathematics" }
22696, 28369, 34042? 39715 What is next in -4030, -8047, -12064, -16081, -20098? -24115 What is next in -151607, -151601, -151595, -151589? -151583 What comes next: 52887, 211596, 476109, 846426? 1322547 What is the next term in 32, 177, 422, 773, 1236, 1817, 2522, 3357? 4328 What comes next: 62887, 62888, 62889, 62890, 62891? 62892 What is next in 15616, 15610, 15584, 15526, 15424, 15266, 15040? 14734 What comes next: 1089, 1121, 1157, 1197, 1241, 1289? 1341 What comes next: 2799, 2755, 2711, 2667? 2623 What is next in 1954795, 1954793, 1954791, 1954789, 1954787? 1954785 What is next in 27605, 110462, 248571, 441938, 690569? 994470 What is next in -806, -3214, -7222, -12830, -20038, -28846? -39254 What is next in 580, 1358, 2160, 2986, 3836, 4710, 5608? 6530 What is next in 451, 1934, 4413, 7894, 12383, 17886, 24409? 31958 What is next in -129458, -258905, -388354, -517805, -647258, -776713? -906170 What is next in -4243, -4193, -4049, -3763, -3287, -2573, -1573, -239? 1477 What is the next term in 35, 49, 71, 101, 139, 185, 239? 301 What is the next term in 1008, 1989, 2970, 3951? 4932 What is the next term in -4084, -4229, -4476, -4831, -5300? -5889 What is the next term in -1626, -1621, -1614, -1605, -1594, -1581? -1566 What is next in -140, -508, -1120, -1976, -3076, -4420, -6008? -7840 What comes next: 241, 954, 2157, 3850, 6033, 8706? 11869 What is the next term in 24107, 96432, 216987, 385778, 602811? 868092 What is next in 9, 29, 37, 15, -55, -191, -411? -733 What is the next term in -472, -976, -1474, -1966, -2452? -2932 What is the next term in 155679, 311358, 467037? 622716 What comes next: -389, -1967, -4597, -8279? -13013 What is next in -15200, -15199, -15198? -15197 What is the next term in -268819, -537634, -806439, -1075228, -1343995? -1612734 What is the next term in -4207, -8456, -12717, -16996, -21299, -25632, -30001? -34412 What is the next term in 3744, 15178, 34292, 61080, 95536, 137654? 187428 What is the next term in -219648, -439323, -659008, -878709, -1098432, -1318183? -1537968 What is next in 49, 36, 27, 22, 21, 24? 31 What comes next: -1529719, -1529720, -1529721, -1529722? -1529723 What is next in 1647, 6566, 14763, 26238? 40991 What is next in 7090, 14189, 21288? 28387 What is next in -636, -606, -556, -486, -396? -286 What is next in 2214, 2011, 1672, 1197, 586, -161? -1044 What is the next term in 4831, 9661, 14491? 19321 What is next in -875, -2140, -3795, -5840, -8275, -11100? -14315 What comes next: 43569, 43520, 43457, 43374, 43265, 43124? 42945 What is next in -46, -162, -350, -610, -942, -1346, -1822? -2370 What is the next term in -54007, -108012, -162017? -216022 What comes next: 201477, 201470, 201463, 201456? 201449 What is next in 669373, 669374, 669375? 669376 What is the next term in -7566, -7549, -7516, -7461, -7378, -7261, -7104, -6901? -6646 What is the next term in -103, -192, -325, -490, -675, -868? -1057 What comes next: -324, -624, -912, -1182, -1428, -1644, -1824? -1962 What is the next term in 332, 1236, 2736, 4826, 7500, 10752? 14576 What is next in -8572, -8589, -8624, -8683, -8772, -8897, -9064? -9279 What comes next: 91, 151, 193, 205, 175, 91? -59 What is next in 128, 509, 1210, 2285, 3788, 5773, 8294? 11405 What comes next: 12761, 51035, 114823, 204125, 318941, 459271? 625115 What comes next: -507, -3985, -13419, -31791, -62083, -107277, -170355? -254299 What is next in -811, -1866, -2921? -3976 What is next in 1035, 2074, 3113, 4152? 5191 What is the next term in -7513, -7501, -7489, -7477? -7465 What comes next: -1060, -1044, -1008, -940, -828, -660, -424? -108 What is the next term in 6, 60, 178, 390, 726, 1216, 1890? 2778 What is next in 302847, 605697, 908547, 1211397, 1514247, 1817097? 2119947 What comes next: 34900, 34914, 34936, 34966, 35004, 35050, 35104? 35166 What is the next term in -2878, -2829, -2778, -2725, -2670? -2613 What is next in 1030, 2057, 3088, 4123, 5162? 6205 What is the next term in 2465, 4937, 7413, 9893? 12377 What is next in -454682, -909351, -1364018, -1818683? -2273346 What is the next term in 11019, 11032, 11077, 11172, 11335? 11584 What is the next term in 1375, 2848, 4315, 5776, 7231? 8680 What comes next: 1576, 2972, 4354, 5716, 7052, 8356? 9622 What is the next term in -23361, -23401, -23441, -23481? -23521 What is the next term in -1460, -3046, -4658, -6302, -7984, -9710? -11486 What is the next term in -634, -2543, -5736, -10213, -15974? -23019 What is the next term in -82, -151, -228, -313, -406, -507? -616 What is next in -68666, -137337, -206008, -274679? -343350 What is next in 1162, 2112, 3064, 4018, 4974? 5932 What comes next: 923, 1791, 2643, 3473, 4275? 5043 What comes next: -7811, -15610, -23401, -31184, -38959? -46726 What is next in -7662, -30604, -68826, -122328? -191110 What comes next: 1028, 1992, 2968, 3962, 4980, 6028? 7112 What comes next: -170363, -170359, -170353, -170345, -170335? -170323 What comes next: -3519, -3517, -3507, -3483, -3439, -3369, -3267, -3127? -2943 What is next in -894, -933, -1034, -1227, -1542, -2009, -2658? -3519 What is next in -5985, -5999, -6031, -6087, -6173, -6295, -6459, -6671? -6937 What is next in 21730, 21723, 21722, 21733, 21762? 21815 What is the next term in 4947, 9578, 14209? 18840 What comes next: -299, -2293, -7671, -18113, -35299, -60909? -96623 What is next in -81, -203, -379, -603, -869, -1171, -1503, -1859? -2233 What comes next: -9972, -9951, -9886, -9753, -9528, -9187, -8706? -8061 What is the next term in -6438, -12908, -19378, -25848? -32318 What is the next term in -4045, -8205, -12365, -16525, -20685, -24845? -29005 What comes next: 351, 2774, 9351, 22158, 43271, 74766, 118719? 177206 What is the next term in 552, 1163, 1774? 2385 What is the next term in -2336, -2324, -2304, -2276, -2240? -2196 What comes next: -65233, -65231, -65229, -65227, -65225, -65223? -65221 What is next in -232793, -232781, -232771, -232763, -232757, -232753? -232751 What comes next: -848, -705, -562, -419? -276 What is next in 13628, 27248, 40868? 54488 What is the next term in -60, -62, -70, -84, -104? -130 What is the next term in 140, 635, 1608, 3179, 5468, 8595, 12680, 17843? 24204 What is the next term in -153, -290, -605, -1188, -2129, -3518, -5445? -8000 What comes next: -24170, -96679, -217538, -386753, -604330, -870275? -1184594 What is next in -13468, -13466, -13464, -13462, -13460? -13458 What comes next: 5, 49, 119, 227, 385, 605? 899 What comes next: 161, 154, 151, 158, 181, 226, 299, 406? 553 What is the next term in 93232, 93236, 93240, 93244, 93248, 93252? 93256 What is the next term in 2216, 17533, 59072, 139943, 273256, 472121? 749648 What comes next: -236, -423, -608, -791, -972, -1151? -1328 What is the next term in 13464, 26923, 40380, 53835, 67288, 80739? 94188 What is the next term in 15744, 15742, 15738, 15732, 15724, 15714? 15702 What is next in 13364, 53477, 120332, 213929, 334268? 481349 What is the next term in 3971, 15913, 35825, 63707, 99559? 143381 What is the next term in -17156, -17131, -17106, -17081, -17056, -17031? -17006 What is the next term in 22709, 22714, 22719, 22724, 22729? 22734 What is next in -374, -397, -436, -491, -562, -649? -752 What comes next: -1684, -1638, -1606, -1594, -1608, -1654? -1738 What is the next term in 24525, 49046, 73567, 98088, 122609, 147130? 171651 What is the next term in 133, 344, 561, 784, 1013, 1248? 1489 What is next in -68, -157, -274, -419? -592 What is the next term in -202, -537, -986, -1549, -2226, -3017? -3922 What is next in 674, 1157, 1662, 2195, 2762, 3369? 4022 What is next in -9746, -9914, -10370, -11258, -12722, -14906? -17954 What is the next term in 291, 1677, 5437, 12759, 24831, 42841, 67977? 101427 What is next in 458176, 458178, 458182, 458188, 458196? 458206 What is the next term in -190, -180, -154, -112? -54 What comes next: 462, 373, 224, 15, -254, -583? -972 What comes next: 149, 521, 1147, 2027, 3161, 4549, 6191? 8087 What comes next: -61668, -61669, -61670, -61671, -61672? -61673 What is next in -75325, -75327, -75331, -75337, -75345, -75355? -75367 What comes next: 21236, 21226, 21216, 21206, 21196? 21186 What is next in -3838, -3868, -3898, -3928, -3958, -3988? -4018 What is the next term in 1579, 1
{ "pile_set_name": "DM Mathematics" }
ate the remainder when (0 - 93)/(-3) - 0 is divided by 7. 3 Suppose -5*u - 3 = 12. Let w(n) = -3*n + 2. What is the remainder when 20 is divided by w(u)? 9 Suppose 2*m = -0*a + 5*a + 66, -106 = -4*m - 3*a. Calculate the remainder when 82 is divided by m. 26 Let f be (-2 + 0)/(10/(-25)). Suppose -134 = -f*l - 14. What is the remainder when l is divided by 13? 11 Suppose 0 = 5*b - 13 - 7. Suppose b*w + 4*t = 4, -14 = -2*w - 0*w + 4*t. What is the remainder when (-13)/(-2) + (-2)/(-4) is divided by w? 1 Suppose 4*d = 3*g - 63, 0*g - g + 22 = -d. Suppose -l - g = -6*l. What is the remainder when 17 is divided by l? 2 Suppose 3*i + 7*z - 253 = 3*z, -4*i + 339 = 5*z. What is the remainder when i is divided by 31? 29 Calculate the remainder when (2/(-6))/((-1266)/(-423) - 3) is divided by 5. 2 Let k(b) = 3*b**2 - 11*b - 5. Calculate the remainder when k(7) is divided by 33. 32 Suppose -6*k = -11*k - 10. What is the remainder when -45*(k + (-15)/(-9)) is divided by 6? 3 What is the remainder when 77 is divided by (-4)/(-16) - (-206)/8? 25 Calculate the remainder when (174/(-4))/(18/(-24)) is divided by 15. 13 Suppose 4*f - 2 = -5*d - 0, -5*d - 19 = -3*f. Suppose -4*k + 19 = -f*w, 0*k + 25 = 5*k - 5*w. What is the remainder when 12*k*3/6 is divided by 13? 11 What is the remainder when 30 is divided by 22 + -5 + 2 + -3? 14 Let b = 2 + 3. Let l be (3*2)/(3 + -2). Suppose 2*y - l = -y. Calculate the remainder when b is divided by y. 1 Let n(i) = -i - 8. Let y be n(-6). Let d be (-1 - 1)/(y + 0). Let t = d + 2. Calculate the remainder when 7 is divided by t. 1 Let y(t) = t**2 - 4*t - 2. What is the remainder when y(6) is divided by 6? 4 Let g(h) = h**2 - 11. Suppose 2 = -y - 3*t, -2*t - t + 13 = -2*y. Calculate the remainder when 52 is divided by g(y). 10 What is the remainder when 13 is divided by (-42)/(-10) - 7/35? 1 Suppose 81 = 4*x + 17. Let v be ((13 - 1)/2)/2. Suppose -6 = -v*c + 21. Calculate the remainder when x is divided by c. 7 Suppose -15*c = -10*c - 10. Let g = -8 + 15. Calculate the remainder when g is divided by c. 1 Suppose -16 + 1 = -3*a, -4*a = -2*k + 12. Calculate the remainder when 58 is divided by k. 10 Let w = 5 - 12. Let o(b) = b**3 + 6*b**2 - 8*b - 5. Let x be o(w). Calculate the remainder when 11 is divided by (1/2)/(x/16). 3 Suppose 5*b - 3 = -2*n + 20, 4*b + 116 = 4*n. What is the remainder when 93 is divided by n? 21 Let m = 9 + -3. Suppose -5*i + 9 + m = 0. Let f(w) = w**3 + 14*w**2 - 16*w - 10. Calculate the remainder when f(-15) is divided by i. 2 Suppose 5*b - 65 = -2*j, 4*b + 0*j + 3*j = 45. Calculate the remainder when b is divided by 9. 6 Suppose 0 = q - 3, -4*h - q + 40 = -5*q. Let d(o) = -o**2 + 20*o - 11. Let w be d(8). Let x = -47 + w. What is the remainder when x is divided by h? 12 Let o be (-6)/9*(-9)/2. Let j = 16 - o. Calculate the remainder when 25 is divided by (j/4)/((-2)/(-8)). 12 Let h = 5 + -2. Suppose 2*o - 42 = -o. Suppose -h*c = -6*c, 0 = -2*i + 5*c + o. Calculate the remainder when i is divided by 3. 1 Suppose -2*f - 4*t = -8 - 4, 5*t - 3 = -f. Let x(s) = -15*s + 1. Let u be x(-2). Let m = u - 17. What is the remainder when m is divided by f? 6 Suppose 5*h = 7*h - 14. Let u be 3 - (0/1)/1. Suppose 0 = u*s - 9 - 27. Calculate the remainder when s is divided by h. 5 Let b = 5 + 6. Calculate the remainder when 21 is divided by b. 10 Let p(j) = -j**3 - 4*j**2 + 6*j + 7. Suppose -4*r - s - 23 = 0, s = 2*r - 4*r - 13. Let z be p(r). Let x = z + 17. What is the remainder when x is divided by 7? 5 Let x = -12 - -5. Let d(y) = -10*y**2 - 27*y - 37. Let i(u) = 3*u**2 + 9*u + 12. Let b(k) = -2*d(k) - 7*i(k). Calculate the remainder when b(x) is divided by 3. 1 Let u = 1 - 1. Let r(l) = -l + 33. What is the remainder when r(u) is divided by 17? 16 Suppose -2 = j - f, 4*f - 5 = j + 2*f. What is the remainder when j is divided by 1? 0 Suppose -15 = -j + 4*g, -5*j - 5*g + 40 = -35. Let m(l) = 12*l. Let r be m(1). Let b = 15 + r. What is the remainder when b is divided by j? 12 Suppose -2*x = -0*x + i - 61, 3*x - 3*i = 105. What is the remainder when x is divided by 12? 8 Let q(n) = n**3 + 7*n**2 + 6*n + 5. Calculate the remainder when ((-9)/(-6)*-6)/(3/(-4)) is divided by q(-6). 2 Let t be -3 - (3 + -6 - 3). Suppose 3*w + t = 60. Calculate the remainder when w is divided by 4*(-4)/((-48)/15). 4 Let n = -123 + 219. Calculate the remainder when n is divided by 33. 30 Suppose -3*w + 15 - 48 = 0. Let o = w + 17. Calculate the remainder when 15 is divided by o. 3 Let k(x) = x + 15. What is the remainder when k(-9) is divided by 4? 2 Let o(u) = -u**3 - 5*u**2 - 3*u + 1. Calculate the remainder when 60 is divided by o(-5). 12 Suppose 110 = -5*a + 10*a. Let o = -3 + 15. Calculate the remainder when a is divided by o. 10 Let t = -46 - -64. Suppose -4*o + v = -0*o - 132, -2*v = -2*o + 60. What is the remainder when o is divided by t? 16 Suppose 2*r + 2 = -0*r. What is the remainder when (r/(-3))/((-2)/(-6)) is divided by 1? 0 Suppose -3*h + 3*u + 10 = -h, -5*h + 5*u = -30. Let a = -5 + h. Let q(j) = -j**3 + j**2 + 3*j + 1. What is the remainder when q(-2) is divided by a? 1 Let x be -35 + 2 + -3 + 1. Let w = 99 + x. Suppose 2*m = -2*g + 87 - 19, 0 = -2*g - m + w. Calculate the remainder when g is divided by 16. 14 Let s(v) = -21*v + 8. Calculate the remainder when s(-2) is divided by 17. 16 Suppose 0*y - 2 = 3*t - 2*y, -4*t + 4*y = -4. What is the remainder when 3 + -3 - (0 + t) is divided by 3? 1 Let o(k) = k**3 + 10*k**2 - k + 10. What is the remainder when 58 is divided by o(-10)? 18 Suppose -2*a - 5*x = 2*a - 123, 5*a - 158 = -2*x. What is the remainder when a is divided by 7? 4 Suppose 3*l + 16 = 6*v - 2*v, -3*v + 12 = 3*l. Suppose 9 - 89 = -v*a. Suppose 21 = 4*o - o. What is the remainder when a is divided by o? 6 Let k be (-2 + 0)/(6/(-9)). Suppose 3*u - k*r = r - 14, 2*r - 4 = 3*u. Calculate the remainder when (-29)/(9/(-3) + u) is divided by 15. 14 Let v(k) = -k**3 - 5*k**2 + 6*k + 8. Let s(f) = -2*f - 5. Let r be s(-4). Suppose r*z - 75 = -2*z. Calculate the remainder when z is divided by v(-6). 7 Suppose -6*c = -2*c - 8. What is the remainder when 6/(-12)*(c + -180) is divided by 23? 20 Suppose -11 = q + 5*g, -q + 0*q = 4*g + 6. Suppose 2*j + 4*x - 14 = 0, -5*j + 3*x = 12 + 18. What is the remainder when j/((-3)/25) - -2 is divided by q? 13 What is the remainder when 5/(-15)*-1*6 is divided by 1*(-3 + 1)/(-2)? 0 Suppose 25 = 2*u - 29. Let b = u + -17. Suppose 8 - 20 = -4*g - 2*o, 0 = -5*o - b. Calculate the remainder when 6 is divided by g. 2 Suppose 6*s - 456 = -0*s. What is the remainder when s is divided by 26? 24 Let o = -11 + 11. Let k be (o - 3)/(1 - 2). Calculate the remainder when (2/k)/(6/279) is divided by 17. 14 Let q(u) = 3*u - 1. Calculate the remainder when 14 is divided by q(2). 4 Suppose 170 = 5*r - 20. What is the remainder when r is divided by 10? 8 Let i = -23 - -45. Calculate the remainder when 42 is divided by i. 20 Let i(c) = c**3 - 2*c**2 - 3*c + 2. What is the remainder when 8 is divided by i(3)? 0 Suppose 11*b - 152 = 3*b. Calculate the remainder when b is divided by -3*(0 - (-20)/(-6)). 9 Let k(u) = -6*u - 20. What is the remainder when 78 is divided by k(-6)? 14 Suppose -4*w + w = -q + 16, 0 = 3*q + 4*w + 17. Let n = q - -1. Suppose -14 = -3*x - 2*k, 4*k + 3 = 2*x - 1. What is the remainder when x is divided by n? 0 Suppose -4*o - 741 = -7*o. Suppose v = -2*h + 111, -4*h + 3*v + 0*v + o = 0. What is the remainder when h is divided by 15? 13 Suppose -3*b - 9 = 0, 2*r - 2*b = r + 10. Suppose 4 = 2*n, q - 8 = 5*n - r. What is the remainder when 27 is divided by q? 13 Suppose 3*a = -q + 6*a + 12, -4*q + 2*a = -38. Suppose q*f = 4*f + 40. What is the remainder when f is divided by 2? 0 Suppose -4*g + 0*g = -52. Calculate the remainder when g is divided by 3. 1 Let l = 7 - 5. Suppose 0 = -l*k - 2*i + 16, 0*k - i - 7 = -2*k. Let r(n) = 9*n**2 - 1. What is the remainder when r(-1) is divided by k? 3 Suppose 10*n - 7*n = 9. Suppose k - 63 = -n*k + 3*l, -2*l + 78 = 4*k. Suppose -4*a + 15 = -13. Calculate the remainder when k is divided by a. 4 Suppose -3*b + 3 - 78 = 0. Let l = 35 + b. What is the remainder when 28 is divided by l? 8 What is the remainder when 131 is divided by (-45)/3*(0 - 1)*
{ "pile_set_name": "DM Mathematics" }
f**2 + 37 - f**t with respect to f. -4*f Differentiate 4*z**4 + 2*z**4 - 9 + 3*z + 57 - 3*z**4 wrt z. 12*z**3 + 3 Suppose -3*o - o = 0. Let p(l) be the first derivative of 0*l + l**2 - 1/4*l**4 + o*l**3 + 1. Find the second derivative of p(k) wrt k. -6*k Suppose -b = -2*l, b = 3*b - 2*l - 4. Let k = -1 + b. Find the first derivative of -5*i**2 + 0 + k*i**2 - 3 wrt i. -4*i Let j(l) = -3*l**3 + 7*l**2 - 5*l - 5. Let o(c) = -c**3 + 3*c**2 - 2*c - 2. Let u(p) = 6*j(p) - 15*o(p). Find the third derivative of u(x) wrt x. -18 Let q(h) = -38*h**3 - 8*h**2 + 3*h - 2. Let i(p) = -37*p**3 - 6*p**2 + 2*p - 2. Let a(b) = 4*i(b) - 3*q(b). Find the second derivative of a(n) wrt n. -204*n Let l(b) = -2*b - 3 + 5*b**3 - 2*b + 2 - 4*b**2. Let s(y) = y**3 - y**2 - y. Let m(x) = l(x) - 4*s(x). Differentiate m(t) with respect to t. 3*t**2 Let c = 3 - -1. What is the second derivative of 4*v + 2*v**4 - v**c - 5*v**4 - 6*v wrt v? -48*v**2 Suppose 0 = -2*h + 5*h - 9, 3*n + h = 12. What is the third derivative of 9*l**6 + 6*l**2 - 247*l**3 + 247*l**n wrt l? 1080*l**3 Let y(s) = -5*s**2 + 2. Let a(o) = 4*o**2 - 2. Let x = 4 + -4. Let c = x - 3. Let r(m) = c*y(m) - 4*a(m). What is the derivative of r(z) wrt z? -2*z Differentiate -14 + 4 + 2*c**3 + 3*c**3 wrt c. 15*c**2 Suppose v - 1 = 2. Find the third derivative of 5*b**4 + 15*b - 15*b + v*b**2 wrt b. 120*b Let g(h) be the third derivative of -h**4/4 - h**3/2 - 5*h**2. What is the first derivative of g(l) wrt l? -6 Let t(d) be the second derivative of 3*d + 0 + 0*d**4 + 0*d**3 + 9/2*d**2 + 1/4*d**5. What is the derivative of t(r) wrt r? 15*r**2 Let h(f) = -15*f + 1. Let a be h(-1). Suppose -4*g = 5*i - 9, a = -7*g + 3*g. Find the third derivative of -2*k**5 + k**2 + 0*k**2 + i*k**5 wrt k. 180*k**2 Let t = 4 - 8. Let a = t + 5. Find the first derivative of -a - 2 + 3*p**4 + 4 - 4 wrt p. 12*p**3 Suppose -3*c = 4*l + l + 100, -5*c - 100 = -5*l. Let b = -17 - c. What is the second derivative of 2*v + 8 - b + v**4 wrt v? 12*v**2 Suppose 0*a + a - 2 = 0. Differentiate t + 10*t**a - 5 - t + 0*t**2 wrt t. 20*t Let n(w) = 2*w**3 - 2*w**2 + 3*w + 3. Let x(j) = j**3 + j**2 + j + 1. Let r(m) = n(m) - 3*x(m). What is the third derivative of r(z) wrt z? -6 Let v(b) = -40*b**4 + 4*b**3 + 4*b - 56. Let q(n) = 39*n**4 - 5*n**3 - 5*n + 57. Let j(k) = 4*q(k) + 5*v(k). Differentiate j(r) with respect to r. -176*r**3 Let f be (-3)/18*-2*3. What is the first derivative of i**3 - 1 - f + 3*i**3 wrt i? 12*i**2 Let l(t) be the third derivative of t**7/30 + 7*t**3/6 + 4*t**2. Differentiate l(o) with respect to o. 28*o**3 What is the first derivative of 0 + 0 - 9*x - 3 - 13 wrt x? -9 Find the third derivative of -15*c**2 + 4*c**6 + 26*c**2 - 20*c**2 wrt c. 480*c**3 Let s be (2*1)/((-2)/(-5)). Suppose -s*h + 7 = -8. Differentiate 2*l**2 - h*l**2 + 1 - 3 wrt l. -2*l Suppose f + 3*n = 7, 1 + 4 = -5*n. What is the third derivative of -1 + 11*m**2 - f*m**2 + 1 + 2*m**3 wrt m? 12 Let h(v) = -v - 9. Let s(r) be the third derivative of -r**3/6 + 2*r**2. Let q(i) = -h(i) + 6*s(i). Differentiate q(n) wrt n. 1 Let l(g) be the first derivative of 16*g**5/5 + 8*g**2 + 17. Find the second derivative of l(p) wrt p. 192*p**2 Let f(x) be the third derivative of -x**5/2 + 5*x**4/6 + 18*x**2. What is the second derivative of f(t) wrt t? -60 Suppose 0*t - t = -3. Let z = 3 - 0. What is the second derivative of -t*q + q**z - 2*q**3 + q wrt q? -6*q Let m(v) = 14*v**3 + 25. Let b(c) = -c**3. Let a(x) = 3*b(x) - m(x). What is the derivative of a(k) wrt k? -51*k**2 Let k(d) = -d**3 + 2*d**2 + d + 1. Let q be k(2). Let s be 1/q + (-25)/(-15). What is the third derivative of m**3 - m**3 - m**5 - 2*m**s wrt m? -60*m**2 Suppose -5*o = p - 32, 4*p + 4 - 47 = -3*o. Differentiate 6 + 4*k - p - 2 wrt k. 4 Let d = 153 + -148. Let a(n) be the second derivative of -3/2*n**2 - 1/5*n**d + 0*n**4 + 0 + 0*n**3 - n. Differentiate a(v) with respect to v. -12*v**2 Let r(o) be the third derivative of 3*o**7/35 - 7*o**5/20 - o**2. What is the third derivative of r(z) wrt z? 432*z Let x be (4/32)/((-6)/(-4)). Let y(j) be the second derivative of 0*j**3 - x*j**4 + 0 - 2*j + j**2. Differentiate y(i) with respect to i. -2*i Let q(v) = -v - 4. Let u be q(-6). Let s = 0 + u. What is the second derivative of -3*x + 0*x**4 + 4*x + s*x**4 wrt x? 24*x**2 Let q(s) = -3*s + 29. Let g be q(9). Let t(p) be the first derivative of 2/3*p**3 + 0*p + 0*p**g + 1 + 1/2*p**4. What is the third derivative of t(v) wrt v? 12 Let w = 0 - 2. Let k(d) = -2*d + 1. Let u be k(w). What is the second derivative of -o - o - o + o**u wrt o? 20*o**3 Let g(x) be the third derivative of -x**8/3360 + x**6/360 + x**5/15 + 3*x**2. Let u(z) be the third derivative of g(z). What is the derivative of u(j) wrt j? -12*j Suppose -4*p - 10 - 10 = 0. Let d be (-12)/p - 6/15. What is the second derivative of -d*g + 0*g - g**3 + 0*g wrt g? -6*g Let q(y) be the third derivative of 0*y + 1/30*y**6 + 0 + 0*y**4 - 1/10*y**5 + 7*y**2 + 0*y**3. What is the third derivative of q(i) wrt i? 24 Let k(y) be the third derivative of y**8/1680 + y**6/45 + 5*y**3/3 + 4*y**2. Let q(l) be the first derivative of k(l). Find the third derivative of q(m) wrt m. 24*m Let v(o) be the second derivative of -o**9/1008 + o**5/60 - o**3 + 4*o. Let h(r) be the second derivative of v(r). What is the second derivative of h(b) wrt b? -60*b**3 Let f(i) be the second derivative of 19*i**6/30 - 13*i**4/12 - 4*i. Find the third derivative of f(y) wrt y. 456*y Let x(c) be the second derivative of 0 + 5*c + 1/4*c**5 + 0*c**3 + 1/6*c**4 + 0*c**2. What is the third derivative of x(q) wrt q? 30 Suppose -2*c + 3 - 11 = 0. Let d = 6 + c. What is the third derivative of -i**2 - d*i**5 + 0 + 0 wrt i? -120*i**2 Let s = -15 + 24. Let a(f) = 24*f**2 + 16*f - 9. Let i(w) = 6*w**2 + 4*w - 2. Let y(g) = s*i(g) - 2*a(g). Find the second derivative of y(x) wrt x. 12 Find the second derivative of -10*d + 45*d + 31*d**3 - 9*d**3 wrt d. 132*d Suppose -v + c = -4, c + 2*c = 5*v - 16. Suppose 0 = 3*s - s - 8. What is the second derivative of g**4 + v*g + 2*g**4 - 4*g**s wrt g? -12*g**2 Let z(w) be the first derivative of 0*w**4 - 4 + 0*w + 0*w**2 - 2/5*w**5 + 4/3*w**3. What is the third derivative of z(r) wrt r? -48*r Suppose -2*o - o + 9 = 0. Differentiate -o*t + 2*t + 7*t + 5 with respect to t. 6 Let i = 1/84 - -13/84. Let s(q) be the second derivative of -4*q + 0*q**2 + 0 + 2/3*q**3 + i*q**4. What is the second derivative of s(h) wrt h? 4 Suppose -6 = -3*v + 9. Find the third derivative of 2*b**4 - 2*b**4 + v*b**6 - 5*b**2 - b**6 wrt b. 480*b**3 Let o(y) = y**2 + 4*y - 3. Let a be o(-5). What is the derivative of a*u**2 + 2*u**2 - 3*u**2 - 2*u**2 + 3 wrt u? -2*u Let i(t) = t**3 - 3*t**2 - 5*t + 2. Let s be i(4). Let z be (-1)/((1/s)/1). Find the second derivative of 13*n**2 + 4*n**3 - n - 13*n**z wrt n. 24*n Let j(u) be the first derivative of 13*u**4/4 - 8*u + 5. Differentiate j(l) with respect to l. 39*l**2 Let p(u) = u**2 - u. Let q(n) = -18*n**4 - n**2 + n + 1. Let v(k) = -p(k) - q(k). Differentiate v(x) with respect to x. 72*x**3 Let l(c) = c**2 - 8*c + 8*c - c**4 + c**3 - 1. Let r(m) = -4*m**4 + 3*m**3 + 6*m**2 - 3. Let b(h) = -3*l(h) + r(h). Find the third derivative of b(f) wrt f. -24*f Let l(i) be the third derivative of -i**4/12 + i**3/2 + 6*i**2. What is the first derivative of l(q) wrt q? -2 Let w(o) be the third derivative of -o**7/35 + 17*o**5/30 + 34*o**2. Find the third derivative of w(v) wrt v. -144*v Let n be (-6)/(-4) + 12/8. Suppose v = n*v - 4. Find the second derivative of 0*s - 4*s - s**4 + v*s wrt s. -12*s**2 Let q(r) = -50*r**3 + r - 7. Let h(v) = -98*v**3 + 2*v - 14. Let m(j) = -3*h(j) + 5*q(j). Find the second derivative of m(a) wrt a. 264*a Let p(i) be the third derivative of i**7/42 + i**3/2 + 7*i**2. What is the first derivative of p(j) wrt j? 20*j**3 Suppose -p = -0*p. Let d(n) be the second derivative of 0 + p*n**4 - 3*n - 1/2*n**2 - 1/20*n**5 + 0*n**3. Differentiate d(u) wrt u. -3*u**2 Suppose -z + 4*z = -6, 0 = -4*i - 3*z + 2. Suppose -15 = -4*m + 5*u, -3*u + u = 5*m - 27. What is the third derivative of -x**i + x**m + 4*x**2 - 2*x**2 wrt x? 60*x**2 Let w(i) = -2*i**3 + 7*i**4 - 4*i - 3*i + 2*i**2 + 0 + 5*i + 1. Let h(z) = -z**4 + z**3 - z**2 + z - 1.
{ "pile_set_name": "DM Mathematics" }
b Which is the fourth smallest value? (a) 5/6 (b) -1/6 (c) 2/349 (d) 324 d What is the fourth smallest value in 132, 0.07519, 1/4, -0.1, -3? 1/4 Which is the fourth smallest value? (a) 0.5 (b) -117/58 (c) 17 (d) 5 c Which is the fourth smallest value? (a) -4 (b) 7/6 (c) 475 (d) -10 (e) 0.1 (f) 1 f Which is the second biggest value? (a) 159 (b) -2.6748 (c) 0 c Which is the biggest value? (a) -0.2 (b) -1494 (c) -27515 a Which is the fourth biggest value? (a) 54 (b) -0.1 (c) 0.11 (d) 4 (e) -161 (f) 3 (g) 0 c What is the third biggest value in -3/7, 1, -0.3, -0.2, -7, 20, -294? -0.2 Which is the third biggest value? (a) 1.4 (b) 2/9 (c) 11/27086 (d) 1/9 (e) -0.4 (f) -1 (g) 3/2 b What is the fourth biggest value in 45, -87.309, 0.2, 2, 0.4? 0.2 What is the third biggest value in -0.1, -4659, -9, 169? -9 Which is the third smallest value? (a) 0.01 (b) 0.5 (c) 0.3 (d) -0.1 (e) -1/16 (f) -13.4 (g) -4 d What is the third smallest value in -91.47, 246/197, 1/2? 246/197 Which is the smallest value? (a) 0.5 (b) 11730.2 (c) 3 a Which is the third biggest value? (a) -2 (b) -66/257 (c) -1.79 a Which is the smallest value? (a) -35 (b) -0.2 (c) 67/73 a What is the fifth biggest value in 21, 0, -0.378, 5, 88, -4, 1/6? 0 Which is the second biggest value? (a) 15/31 (b) -2 (c) 15 (d) 146 (e) 1/5 c Which is the sixth smallest value? (a) -1/6 (b) 33 (c) 0.1 (d) -3/4 (e) 5 (f) -212 b Which is the third biggest value? (a) 3221/3 (b) -0.2 (c) 0.05 (d) 5 (e) 2/9 (f) -2/3 e Which is the second biggest value? (a) 110 (b) 3996 (c) -28 a What is the fourth biggest value in -5, 0, -2/13, 8, -15, -8, 1/2? -2/13 Which is the biggest value? (a) -0.2 (b) -1051 (c) 5 (d) 121 d What is the second biggest value in 2/15, 4601440, -0.5? 2/15 Which is the third smallest value? (a) 1/8 (b) 0.3 (c) 2/13 (d) 13/170 (e) -5 (f) 0.5 a What is the second smallest value in 2/389, -4/11, 0.4, -71? -4/11 Which is the third biggest value? (a) 1.74 (b) -0.1 (c) -7 (d) -3/4 (e) -0.17 (f) 0.8 (g) 2/19 g Which is the second smallest value? (a) 3 (b) 4 (c) 0 (d) -5.7 (e) 79 (f) -3 (g) -5 g What is the second biggest value in -0.6, -1328/73, -2? -2 Which is the biggest value? (a) 10/13 (b) -2/5 (c) 3/4 (d) -37 a Which is the fourth smallest value? (a) 5 (b) 1 (c) -15 (d) 0 (e) 0.32 (f) -0.2 (g) -2.6 d What is the third biggest value in -1/221119, 2, -7/2, -0.1, 0.3? -1/221119 What is the third biggest value in -5/2, -3, -0.01343, -1/5, 4? -1/5 What is the second biggest value in -0.82, 6, 71, 2/3, -0.8, -4? 6 What is the second smallest value in -144, 4, -2, 5/2, 1, 0.266? -2 What is the second smallest value in -20, 622, 31? 31 Which is the second smallest value? (a) 49609.4 (b) 0.3 (c) 0.2 b Which is the fourth biggest value? (a) 2 (b) 1 (c) -0.3 (d) 3/5 (e) -1/2 (f) -785/22 (g) -30 c Which is the second smallest value? (a) 2 (b) -7.4 (c) 1/11 (d) 1/602 d Which is the biggest value? (a) 0.1 (b) -3545 (c) 14 (d) 7 c Which is the third smallest value? (a) -5 (b) 25/3 (c) 88049 c What is the second smallest value in 7, -0.8, -17.749? -0.8 What is the second biggest value in 6, -2/17, 2/737943, 9/4? 9/4 Which is the second biggest value? (a) -0.2 (b) 334 (c) -2 (d) 5 (e) 1/43 (f) 8 f Which is the biggest value? (a) -54 (b) -22 (c) -167 (d) 3 (e) 14 (f) 0.4 (g) -0.1 e What is the fourth smallest value in 1, 585, 67/2, 0.3? 585 What is the second smallest value in -0.43773, 1/8, -5850? -0.43773 Which is the smallest value? (a) -1/37 (b) -465/2 (c) -2/831 b What is the third biggest value in -4, -38, -9, 3, -19/2? -9 Which is the second biggest value? (a) 1/11996756 (b) -0.3 (c) 0.1 a Which is the fourth smallest value? (a) -269/6 (b) -5 (c) 4 (d) -0.2 (e) 2/23633 e What is the fourth biggest value in 1, -0.4, 1/9, -1.5, -1/6, -3, -0.71? -0.4 What is the fourth biggest value in 0.124, 11, 24, -0.03, 8? 0.124 What is the second smallest value in 5, 1/2, -7, 19, -5, -25.79, 1? -7 What is the second smallest value in -2/5, 4/7, -7, -0.18, 0.4, -3/4, -335? -7 Which is the smallest value? (a) 12 (b) 332 (c) -60321 c Which is the biggest value? (a) 0.3 (b) 17 (c) 4/85 (d) 3/5 (e) -3 b What is the third biggest value in -0.5, 3, -2, 0.4, 24, -4, 796? 3 What is the third smallest value in 3, 0.02, -289, 44, 0.5, 0? 0.02 Which is the second smallest value? (a) 1922529 (b) -13 (c) 2 c Which is the smallest value? (a) 3 (b) 0 (c) 1/33 (d) -6 (e) 2 (f) -1/40 (g) -0.98 d Which is the biggest value? (a) 4 (b) -4.1334 (c) -3 (d) -7 (e) 0.4 (f) -4 a What is the second biggest value in 81/7, -2/3, 63, 112? 63 What is the third biggest value in -5, -633.67, -6.68? -633.67 What is the second smallest value in -0.9, -12, -798, -1/42, 1/11, -1? -12 Which is the second smallest value? (a) 2 (b) 2/3 (c) 4238 (d) 0.1 (e) -0.2 (f) -5 (g) -3 g Which is the sixth biggest value? (a) -0.7 (b) 15 (c) -1/5 (d) 0 (e) -3/56 (f) -1/2 a What is the fourth smallest value in 1.3, 0.02, -141/5, -4/3? 1.3 Which is the fourth biggest value? (a) -3 (b) -22 (c) -34 (d) 8 (e) -182 (f) 1 b What is the fourth biggest value in -2, 612308, -50, -0.2? -50 What is the second biggest value in -18/167, 3/11, 0.1, 18/25? 3/11 What is the third biggest value in 1/5, 5/2, -1.9, 2/43, -175, 0.5, -0.06? 1/5 What is the smallest value in -40552, -4/9, -0.02? -40552 What is the second smallest value in -4, -5215, 139, -1, -2/7, -5, 1? -5 Which is the sixth smallest value? (a) 0 (b) -4/3 (c) 570/7 (d) 48 (e) -5 (f) 2.5 c What is the fifth biggest value in 2, 83, 3/8, 2/13, 10, -0.4, -82? 2/13 Which is the biggest value? (a) 3/5 (b) 6 (c) 0.1 (d) 11 (e) 3 (f) 80302 f Which is the smallest value? (a) -3/8 (b) -7 (c) 1/2 (d) -3169/10 d What is the second biggest value in 5, -40.57, -0.03, 83? 5 What is the biggest value in 2/83, 1, 5, -1/64, -3/4? 5 Which is the sixth smallest value? (a) -1/6 (b) 1/5 (c) 4 (d) -4/5 (e) -306 (f) 11.7 f Which is the third biggest value? (a) -14 (b) -452/3 (c) 3 (d) 0 a What is the sixth biggest value in -2137, 2/49, 3, 2, -1, -3/4, -2/3? -1 What is the biggest value in -2/1447, 36/23, -25? 36/23 Which is the smallest value? (a) -9172/9 (b) 39 (c) 1/13 a Which is the fourth biggest value? (a) -744 (b) 2/11 (c) -1 (d) -212/5 a Which is the third biggest value? (a) 0.3 (b) -98 (c) -0.1 (d) 2 (e) -5 (f) 0.794 a Which is the second smallest value? (a) 216 (b) -2 (c) 1578 (d) 1 (e) 2 d What is the fourth biggest value in -178, 10, -4, -975? -975 What is the third smallest value in 0.9, -3/148, -145954? 0.9 Which is the third smallest value? (a) -2/23 (b) 1926 (c) 2/51 (d) -0.5 c Which is the third smallest value? (a) -2/9 (b) 3 (c) 810 (d) -1/4 (e) 0.8 (f) 3/7 (g) -2/13 g What is the second biggest value in -3/32, -209, 0.0072? -3/32 What is the second biggest value in -0.1, -30922, 162? -0.1 Which is the second biggest value? (a) 3 (b) 4 (c) -2 (d) -58 (e) -5 (f) 1/4 (g) -4 a What is the biggest value in -24, 1.7, 3150/11? 3150/11 What is the third smallest value in -0.5, 0.2, -0.4, -0.12, -27889/5? -0.4 What is the third smallest value in -0.5, -0.4, -4, 101, 2.6, 12? -0.4 What is the second biggest value in 37, 1/3, -3887? 1/3 What is the sixth biggest value in 1, 177, -2, 6, 1/4, 2/21? -2 What is the sixth biggest value in 2, -7, 4, 1/4, -3, 277/4? -7 What is the second smallest value in -5, -0.3, 1175242/5? -0.3 What is the sixth smallest value in 0.02, 1, 1/6, 0, -18, 2721? 2721 What is the second smallest value in 1/1190, 4, -291/35? 1/1190 Which is the smallest value? (a) -5 (b) -7916/63299 (c) -0.1 a Which is the smallest value? (a) 0 (b) -3 (c) -2 (d) -130.1 (e) -2.3 d What is the fourth smallest value in 0.2011, 0, -3, 0.394? 0.394 What is the third smallest value in -53809388, 1, -0.1, 4? 1 What is the sixth smallest value in -1/4, -3, 1/3, 2, -6, -41, 5/2? 2 Which is the third smallest value? (a) 2/931 (b) -433 (c) -3/11 a Which is the fourth smallest value? (a) 411/7 (b) -1/9 (c) -9 (d) 5 (e) -4 d Which is the biggest value? (a) -8 (b) 2/13 (c) 8945487 c
{ "pile_set_name": "DM Mathematics" }
pose -3*g = -3*q, -4*q + g + 25 = 2*g. Solve -q*u + 5 = 15 for u. -2 Let l(p) = -p**3 + 56*p**2 + 179*p + 23. Let f be l(59). Solve -f*n = -135*n + 18 for n. -3 Let q be -8*(-1 - (-5 - -5)) - 4. Solve q = -2*n + 2 for n. -1 Suppose 2415*g + 12 = 2421*g. Solve -6 = -g*h - 0 for h. 3 Suppose -4*q = -0*q - 16. Suppose 0 = -4*r - 4*f - 12, -3*f - 10 = q*r - 3. Suppose r*y + 0*y = 8. Solve -2 = -y*l + 3*l for l. 2 Let j(k) = -k**3 - 21*k**2 + k + 19. Let f be j(-21). Let o(b) = 4*b**2 + 3*b + 6. Let p be o(f). Suppose 2*d - 20 = -3*d. Solve -36 = d*x - p for x. -5 Suppose -4*q + 52 = 4*c, q = -2*q + 5*c + 23. Solve -l + q = 10 for l. 1 Suppose 0 = 4*p - 0*p + 5*l + 8, 0 = 2*p + 5*l + 14. Suppose 34*u + 15 = 39*u. Solve -p = -2*w + u for w. 3 Suppose -4*m = 4*w - 3 + 47, -5*w - 51 = 4*m. Let u = w - -9. Suppose 4*p = 4*h, 0 = -u*p - 5*h + 3*h + 20. Solve 2*l = p*l - 6 for l. 2 Let a = 103 - 101. Let y(t) = 2*t**2 + 2*t - 1. Let l = 0 + -2. Let x be y(l). Solve 0 = x*z - a*z + 2 for z. -2 Let u be (-2)/(((-130)/(-1730))/(-13)). Solve -u = x - 347 for x. 1 Let w = -19 - -21. Suppose 4*n = -m + 16, 2*n + 3*n = w*m + 33. Solve 0 = -0*t + n*t for t. 0 Let m = -97 + 100. Solve -2*p - m = 1 for p. -2 Suppose -2*s + 112 = 5*s. Let b be 4/(-6) + s/6. Solve -d + 0*d + b = 0 for d. 2 Let g = -533 - -538. Solve 0 = g*t - 8*t - 15 for t. -5 Let o = -14 - -20. Suppose -r - 87*r = 7*r. Solve o*f - 3*f + 15 = r for f. -5 Let g(q) = 4*q + 3 + q**2 - 3*q - 4 + 0*q. Let l be g(-2). Solve -5*m - l - 4 = 0 for m. -1 Suppose 4*u = 4*k + 44, -5*u + 2*k + 3 = -40. Solve 5 + u = 4*p for p. 3 Suppose 3*s - 4*v = 35 - 12, 0 = -5*s - 5*v + 15. Solve 4 = s*a - a for a. 1 Let v be 175/14 - 2/4. Suppose 2*f + 2*r - v = 0, f - r = -6*r + 22. Suppose f*p = -2 + 6. Solve 5*b = p*b + 3 for b. 1 Let f(t) = -t**3 + 12*t**2 - 9*t - 14. Let h be f(11). Suppose h*i + 3*i = 44. Solve -i*m + 0 = 12 for m. -3 Let m(a) = -3*a**2 + 69*a + 72. Let x be m(24). Solve x = 2*t + 24 - 24 for t. 0 Let o(m) = -5*m + 5. Let k(z) be the first derivative of -13*z**2 + 24*z + 10. Let q(w) = 3*k(w) - 16*o(w). Let f be q(9). Solve -2*s - f = 3*s for s. -2 Suppose -2*u = -4*y - 4*u + 6, -y = -u - 9. Let s = -2021 - -2023. Solve s*r = r + y for r. 4 Let b(g) = g**3 + 18*g**2 - 39*g + 23. Let j be b(-20). Suppose 5*f - 2*c + 2 = 0, j*f - 6 + 5 = -c. Solve f = 3*p + p - 20 for p. 5 Suppose 4*s = -20, 32 = -3*i + 5*i - 4*s. Solve i*g - g - 15 = 0 for g. 3 Let t = 195 + -187. Solve -o - 4 = -t for o. 4 Suppose -3*v + 8 = -7. Suppose 0 = l - 3*h + 5, -2*l + 0*h = -h - v. Let b = -3 - -7. Solve -b = l*p - 8 for p. 1 Let s(c) = c**3 + 6*c**2 + 3*c - 5. Let b be s(-4). Suppose -10*o = -b*o - 20. Let v be 45/12 - (-3)/o. Solve -d - 16 = v*d for d. -4 Let x be (1 + -2)/(1/51) + -3. Let w = x - -57. Solve -w + 6 = -m for m. -3 Suppose u + 10 = 4*t, 2*u - 3*t + 12 = t. Let c be (u/(-3))/(14/63). Let l be (c/2 + -2)*0. Solve 0 = -s + 4 - l for s. 4 Suppose -2*x = -2*c + 18 + 2, 5*x - c = -30. Let s = -5 - x. Suppose s = -5*i + 5*k - 10, -4 - 2 = i - 2*k. Solve -4*g + i*g + 2 = 0 for g. 1 Let d(x) = -7*x - 5. Let w be d(-2). Suppose -a + w = -0. Solve 5*h = -a - 6 for h. -3 Let f = 5 + -9. Let s(x) be the third derivative of -x**4/12 - 5*x**3/6 + 25*x**2. Let n be s(f). Solve n*i - 5*i = -10 for i. 5 Suppose 6*s + 11*s - 138 = -6*s. Suppose 3 = -7*r + 4*r, r + 1 = -k. Solve k = -s*i + i - 25 for i. -5 Suppose 2*c + 15*b - 60 = 20*b, -c + 40 = -5*b. Solve -2*h + c = -6*h for h. -5 Suppose -q - l - 5 = 0, 4*l = -0*q + 5*q - 20. Solve q*j + 2*j = -6 for j. -3 Let d = -3 - -9. Let s be 6/d - 1/1. Suppose s = 5*p - p - 12. Solve 0 = -p*b + 4*b - 3 for b. 3 Suppose -4*s + 3*n + 15 = -8, -2*s + 2*n = -12. Suppose -z = s*o - 0*z - 21, 5*z - 21 = -4*o. Solve -o*x - 1 = 3 for x. -1 Let l(b) = 6*b + 129. Let t be l(-19). Solve 0 = 2*n + n + t for n. -5 Let p = 573 - 573. Solve p = 7*t + 7 + 7 for t. -2 Let b be -3 + (-216)/(-126)*(-7)/(-2). Solve -b = 4*q + 1 for q. -1 Let z(i) = -i**3 - 2*i + 3. Let k be z(0). Let d(h) = -h**2 + 3*h - 2. Let v be d(2). Suppose v*g = -k*g + 3. Solve f + 1 = -g for f. -2 Let x = -6 - -7. Suppose 0 = -5*w + 2 - 7, -15 = -2*f + 5*w. Solve -f*h - x = 19 for h. -4 Suppose 40 = 3*j + 5*l + 13, 2*l = -3*j + 27. Suppose q + j = 4*q. Solve -q*u + 2 = 11 for u. -3 Let q(b) = -4*b + 1. Let r be q(4). Let u be 55/r + 4 + 40/6. Solve 5 = -3*p - u for p. -4 Suppose -26*u + 660 - 140 = 0. Suppose j - 5 = -0*j. Suppose 2*m - 18 = 3*g, g = -2*m + j*m - u. Solve m - 1 = 5*z for z. 1 Let h = 115 + -75. Suppose -12*r + h = 16. Solve -r = 3*t + 4 for t. -2 Let w(p) = -9*p**3 + 2*p**2 + 2*p. Let f be w(-1). Let u be (f/((-135)/42))/(4/(-10)). Solve u*h - 9*h = 10 for h. -5 Let b(y) = 3*y**2 - 4*y - 1. Let f be b(3). Let o be ((-10)/10)/((-1)/f). Let t = 20 - o. Solve k = -2*k - t for k. -2 Let m be (-17)/(-3) - ((-55)/(-15))/(-11). Solve 4*p + m = 26 for p. 5 Suppose 26*l - 2 = 648. Solve l*k - 15*k + 20 = 0 for k. -2 Suppose 14*a - 36 = 2*a. Suppose 3*t - 2 = 4*t. Let c be (3/t)/((-9)/24). Solve -a = c*z + 5 for z. -2 Suppose 55 = 5*v - 2*i, -4*i = v - 2*v + 29. Let p(h) = -h**3 + 8*h**2 + 12*h - 11. Let j be p(v). Solve -4*t + j = -0*t for t. 4 Let t(c) = c**2 - 26*c + 28. Let w be t(25). Solve -w*n - 2 = -n for n. -1 Let b = -35 + 38. Let j be (4/(-1))/(-3 + -2 + b). Solve u = 3*u + j for u. -1 Let u be (-3)/(-1) + 1 - (17 - 23). Let q(d) = d**3 - 8*d**2 - 22*d + 21. Let k be q(u). Solve j - 1 = k for j. 2 Let w be 12 + -2 + 2 - (-13)/(-13). Solve 7*x - w*x - 12 = 0 for x. -3 Let y be (-4)/(-20)*5 + 1. Let x be (8/4)/y*4. Suppose 4*q - x - 4 = 0. Solve -5*n = -q*n - 15 for n. 5 Let n(b) = b**3 + 2*b**2 - 16*b. Suppose -2*q = 5*k + 10 - 0, 0 = 4*k. Let w be n(q). Solve 0 = -w*v + 11 + 14 for v. 5 Let w = 11 + -8. Let z(u) = -u**2 - 12 - 17 + 24 + 10*u. Let o be z(9). Solve -o*x = -3*x - w for x. 3 Suppose 0*o = o - 3*o. Suppose o = -i - 4*i. Solve i*v - 4*v - 20 = 0 for v. -5 Suppose 3*v - 3*g + g = -94, -4*g = -v - 28. Let h = v - -33. Solve -h = a + 4 for a. -5 Suppose h - 6 = -5*z + 8, -3*h + 3 = 2*z. Solve -z*q + 5 = 2*q for q. 1 Let k be ((-65)/(-26))/(1/42). Solve 110 = -t + k for t. -5 Suppose -7 = -8*k + 5*k - 5*t, 1 = k + 3*t. Solve 0*s + 20 = -k*s for s. -5 Let a(w) be the third derivative of w**5/60 - 2*w**4/3 - 13*w**3/6 + 6*w**2. Let v be a(17). Let d be 0 + 0 + 3 + v. Solve -d + 4 = g for g. -3 Let r be (29 - 16)/((-1)/(-2) + 0). Suppose -7*g - 5 = -r. Solve 0 = g*o - o for o. 0 Let d(r) = 2*r**3 + 11*r**2 + 21*r + 16. Let s(g) = -3*g**3 - 17*g**2 - 32*g - 24. Let y(t) = -7*d(t) - 5*s(t). Let l be y(-6). Solve -2*o - 4 = l for o. -3 Let s be (1/(-3))/(6/(-72)). Suppose -t + 3*f - 8 = 0, 0*t + s*f = -4*t + 32. Solve -6*k + 8 = -t*k for k. 4 Let w(t) = 2*t**2 + 42*t + 79. Let k be w(-19). Suppose 2*h + 10 = 4*h. Solve 22 = -h*f - k for f. -5 Suppose 0 = 4*r - 7*r - 4*s + 119, -r = -3*s - 31. Suppose 2*n + 0*n - 6 = 0, -r = 2*t + 5*n. Let w = t - -26. Solve w = -d + 4*d - 15 for d. 5 Let w(u) = -u**2 - 7*u - 6. Let z be w(-5). Suppose z = -4*x - 4*m, 3*x - 6*x + 2*m + 22 = 0. Solve -x = -3*l + 5 for l. 3 Let o(b) = b**2 + 32*b + 50. Let r be o(-31). Solve 41 + r = -12*v for v. -5 Let c(s) = s**2 - 30*s + 223. Let b be c(13). Suppose 0*k = -3*m + 3*k - 9, -23 = 3*m + 4*k. Let w = -2 - m. Solve -v - b*v = w for v. -1 Let y(t) = t**3 + 14*t**2 - 5*t - 68. Let n be y(-14). Solve -n = -0*j - j for j. 2 Let d(h) = -2 - 12*h**3 - 3 - 12*h**3 - 2*h**2 + 23*h**3 - 5*h. Let v be d(-2). Solve -n = -2*n - v for n. -5 Let l(y) = -y**3 - y**2 - y + 3. Let t be l(0). Suppose 2*v - 6 = 2*o, -7 + 1 = -t*v. Let p be (4 - 5)*2/o. Solve -3*n + p = 17 for n. -5 Let c be 9/(-6) - 6/(-4). Suppose 4*d - 4 + c = 0. Let p = 3 - d. Solve 0 = -p*n + 3*n - 1 for n. 1 Let c = 57 - 53. Let q = 21 - 15. Suppose j + q = 4*j. Solve -c*k + j*k = 0 for k. 0 Let c = 63 - 38. Suppose -11*n + 8 = -c. Solve 15 = n*q + 2*q for q. 3 Let u be (-138)/4*(104/(-12) - -8). Let x = -35 - -23. Let h be 3 - (x/(-4) - 2). Solve 5*t - h = u for t. 5 Suppose 4*y - 6334 = -6302. Suppose -2 = 2*u, 2 = -0*q + 3*q + 4*u. Solve y = q*w + 4 for w. 2 Suppose 0 = -4*g - 16, 11*g - 9*g + 77 = 3*i. Solve 7*t - 12 = i for t. 5 Suppose -19*m = 5*m - 96. Solve 0*v - v
{ "pile_set_name": "DM Mathematics" }
What is (2*2/60)/(14/35)? 1/6 What is the value of ((-1)/(-14)*10)/((-170)/1190)? -5 Calculate (-2)/(-10*1/6*-6). -1/5 What is (-2)/((6/(-28))/(3/(-7)))? -4 What is (6/(-2))/((405/6)/(-9))? 2/5 What is 1/(4/30)*(-44)/(-110)? 3 What is the value of 3/(((-18)/21)/((-2)/7))? 1 What is the value of (2/15)/((-29)/87)? -2/5 Evaluate (((-60)/8)/(-5))/3. 1/2 Evaluate (3/5)/(2/(10/(-1))). -3 Evaluate 18/15*5/30*-20. -4 Evaluate (0/((-12)/(-3)))/(60/(-15)). 0 Evaluate 42/189*3*3. 2 What is the value of 18*(-11)/(792/16)? -4 Calculate (8/(-24))/((-2)/(-12)*3). -2/3 ((-30)/(-450))/(2/10) 1/3 (-18)/(90/10)*-4 8 Calculate 826/(-295)*10/(-4). 7 0/1*(-9)/18 0 What is 30/(-6)*176/110? -8 What is the value of (-98)/14*18/(-21)? 6 Calculate (-90)/6*8/20. -6 Evaluate (-1)/4*(-24)/(-2). -3 0*2/(-4)*(-20)/10 0 What is the value of (-9)/4*(-4)/3? 3 Evaluate (207/(-460))/(3/5). -3/4 Evaluate 36/12*(-6)/(-54). 1/3 What is the value of 24/28*(-231)/33? -6 5*(-2*(-3)/18)/5 1/3 Calculate ((-55)/(-297))/(((-50)/(-12))/5). 2/9 Evaluate (-6)/27*18/2. -2 What is the value of (2*4/40)/((-8)/5)? -1/8 ((-176)/484)/(3/(-33)) 4 Evaluate (-10)/(-40)*20*(-12)/20. -3 What is the value of -6*4/((-300)/5)? 2/5 Calculate (224/(-140))/((-2)/(-5)). -4 Calculate (-30)/18*6/(-5). 2 (-13)/260*-20*4/(-18) -2/9 (-5)/(-40)*-4*0/(-4) 0 Calculate ((-3)/1)/(132/352). -8 What is the value of 2/35*-10*1/2? -2/7 What is (15/(-14))/(-15)*-2? -1/7 (-9)/(-3)*(24/(-3))/8 -3 What is (-36)/176*(-56)/21? 6/11 What is 20/(-25)*((-1)/4)/1? 1/5 Calculate (-7)/(63/6)*18/4. -3 What is the value of 3/6*-2*-5? 5 Calculate -6*(4/228)/1. -2/19 Evaluate ((-8)/12)/((-110)/55). 1/3 ((-2)/(-8))/((66/(-36))/(-11)) 3/2 What is the value of ((-48)/88)/(2/(-11))? 3 What is (3/(6/(-2)))/(1/8)? -8 Evaluate (10/20)/((-2)/12). -3 What is the value of (30/5)/((-57)/(-38))? 4 Evaluate (4/16*0)/(-1). 0 (-180)/(-270)*1/((-2)/(-15)) 5 Evaluate ((-36)/(-42))/(2*(-1)/(-1)). 3/7 Evaluate (-2)/(-5)*130/(-286). -2/11 Calculate ((-75)/(-4))/(-15)*-4. 5 What is the value of -1*(-1*3)/(21/(-28))? -4 Evaluate ((-2)/(-44))/(1*(-19)/76). -2/11 What is 2/(((-3)/(-24))/((-5)/(-20)))? 4 0/(2/(-1))*(-217)/217 0 Calculate (-36)/210*14/18. -2/15 Evaluate (6/(-75))/((-2)/(-10)). -2/5 423/(-1034)*(-4)/9 2/11 What is the value of (-52)/6*2892/(-3133)? 8 Calculate 2/((-16)/12)*2. -3 What is the value of ((-10)/4)/(15/(-12))? 2 ((2*-4)/(-4))/(7/2) 4/7 Calculate 1*-8*(-7)/49*-7. -8 What is the value of 6*(1/(-6))/(33/99)? -3 What is 20/16*(-38)/475? -1/10 (-4)/(((-56)/(-98))/((-6)/7)) 6 What is the value of (-3)/9*(153/(-8))/(-17)? -3/8 Calculate (136/20)/17*10*1. 4 Evaluate 5*(-10)/((-120)/(-12)). -5 Evaluate 9/3*2*3/(-9). -2 Evaluate ((-56)/((-28)/(-2)))/6. -2/3 What is the value of 8*6/72*6/(-4)? -1 Calculate 9*40/144*(-2)/60. -1/12 What is (-2)/1*((-10)/4)/(-5)? -1 What is the value of 15/(-10)*(-4)/3? 2 1/1*(-9)/45 -1/5 (3/6*6)/(2*3) 1/2 What is the value of 16/(-14)*153/(-408)? 3/7 What is ((-1435)/(-1722))/((-1)/(-6))? 5 Calculate -4*(-3)/12*1. 1 (-1)/(6/(-8)*-4) -1/3 (1/3*6)/(2/(-5)) -5 What is (-6)/(-2)*4*(-42)/72? -7 Calculate (60/(-8))/5*(-70)/(-21). -5 -5*2*(-13)/195 2/3 Calculate ((-16)/36)/((-6)/18). 4/3 What is the value of -1*(-3)/6*-10? -5 (-3)/(-9)*(-12)/8*-6 3 Evaluate (-9)/5*47/(-282). 3/10 Evaluate (110/66)/(10/4). 2/3 Evaluate (-8)/(-48)*-10*(-27)/(-18). -5/2 Calculate ((-2)/5)/((-97)/(-97)). -2/5 Evaluate (39/(-13))/((-21)/(-7)). -1 Calculate (-8)/(-6)*(-99)/(-44). 3 Calculate 2/6*(-38)/(-95). 2/15 What is the value of (-60)/204*4*2/20? -2/17 What is the value of ((-1)/(-3))/(1/9)? 3 Evaluate 2*(-5)/10*1. -1 Calculate (20*(-4)/(-16))/1. 5 Calculate (-4)/10*10/(-38). 2/19 What is (-3*2/(-18))/((-10)/(-120))? 4 What is ((-4)/(-3))/((-21)/((-630)/20))? 2 Calculate 2*2*5/(-40)*2. -1 (1*-3)/(((-36)/16)/3) 4 ((-9)/42)/(-2*36/(-32)) -2/21 What is (-7)/(-10)*(-432)/252? -6/5 ((-481)/(-26))/(-37)*14/(-1) 7 Calculate (8/8)/(33/6). 2/11 (-19)/(-57)*1/((-2)/(-9)) 3/2 What is (-3*1/1)/((-111)/(-148))? -4 2/(((-1)/15)/(4/(-24))) 5 2/(-4)*0/1 0 What is (-4)/(-1)*10/(-20)? -2 What is 2*4/16*0/(-1)? 0 2619/(-194)*(-4)/(-6) -9 Calculate (40/(-16))/(1/2). -5 Calculate ((-114)/(-76))/((-21)/4). -2/7 1*((-7)/((-175)/(-20)))/(-4) 1/5 1/(-2)*22/11 -1 Calculate 30/(-54)*24/30. -4/9 ((-24)/18)/(10/60) -8 What is (120/96)/(5/(-20))? -5 What is (1/(6/(-9)))/(1/(-2))? 3 What is ((-9)/(-12))/((-7)/((-35)/15))? 1/4 Calculate (30*(-8)/(-576))/(4/12). 5/4 What is (-8)/(((-81)/(-9))/9)? -8 Calculate 10/(-4)*-20*11/(-3025). -2/11 (-10)/(-4)*(99/90)/(-11) -1/4 What is 6/(7*(-12)/(-28))? 2 Evaluate ((-5)/(-15))/((-2)/(-48)*-4). -2 Calculate ((-5)/(-3))/((16/(-6))/(-8)). 5 2*(-1)/4*4/(-8) 1/4 What is 25/(-50)*1/(-2)? 1/4 What is (-1)/5*(-55)/66? 1/6 ((-2)/(-55))/(((-1)/(-5))/1) 2/11 Calculate (-30)/3*(-36)/(-45). -8 (-3)/1*(-20)/(-30) -2 Evaluate ((-10)/150)/((-1)/9). 3/5 What is the value of 1*-5*28*3/60? -7 What is the value of 8/((18/9)/(1/(-1)))? -4 ((5/(-3))/5)/((-4)/(-12)) -1 (-4*(-7)/(-35))/((-4)/(-10)) -2 What is the value of -2*((-12)/9)/((-6)/9)? -4 Evaluate (2*(-33)/(-55))/(4/(-10)). -3 Evaluate 5/(-5)*(-46)/(-437). -2/19 Calculate ((3/(-5))/3)/(7/14). -2/5 (28/(-21))/((-10)/(-30)) -4 What is the value of ((-24)/(-21))/(-1)*(-10)/40? 2/7 Calculate 54/(-12)*(-6)/9. 3 -2*(-3)/6*4/34 2/17 What is (-4)/(12/(-27)*3)? 3 What is ((-6)/25)/(3033/(-1685))? 2/15 What is (0/(-3)*(-1)/(-1))/(-1)? 0 (-4)/((-16)/(-2))*2*5 -5 What is ((-20)/(-10)*1)/(2/(-4))? -4 What is (-5)/((3/15)/((-3)/(-15)))? -5 What is the value of (51/85)/((-2)/10)? -3 Calculate (-814)/(-148)*(-10)/(-11). 5 What is the value of (-21)/(-6)*(-4)/21*-3? 2 What is 16/(-150)*(-2)/(-16)*6? -2/25 Calculate (42/63)/((-5)/(-3)). 2/5 What is 78/39*1/((-4)/(-10))? 5 Evaluate (3/((-3)/(-2)))/1. 2 (12/126*7)/(40/15) 1/4 Calculate 20/2*104/(-780). -4/3 What is the value of (1/(-9))/(5*8/(-60))? 1/6 What is (12/(-10))/(5/((-50)/(-4)))? -3 Evaluate ((-1)/7)/((-49)/686). 2 (9/(-180)*4)/1 -1/5 ((-28)/(-98))/((-8)/(-308)) 11 Calculate ((-2688)/(-640))/((12/(-10))/(-2)). 7 What is 1/(-5)*(-15)/(-5)? -3/5 What is the value of (1*6/(-15))/(-2*1)? 1/5 Evaluate ((-14)/6*-3)/(12/12). 7 Evaluate ((12/9)/2)/((-6)/45). -5 What is the value of (-21)/(-77)*(-4)/(-6)? 2/11 What is -4*((-2)/(-4))/((-2)/(-4))? -4 What is the value of (3*1/(-1))/((-36)/8)? 2/3 Evaluate (-15)/(-50)*(-4)/(-3). 2/5 Calculate (18/(-45))/(9/15). -2/3 Evaluate 12/72*0/(-6). 0 Evaluate 5/5*(-7)/7*-1. 1 (-33*(-11)/484)/((-1)/4) -3 What is the value of (-16*5/(-320))/(1/36)? 9 Evaluate (-1)/(3/3*-1). 1 (-6)/(-17)*3/(-9) -2/17 ((-8)/(-12))/(5*(-2)/15) -1 ((-2)/2)/(((-21)/7)/(-3)) -1 What is (-4)/(8/3)*(-8)/8? 3/2 Calculate 410/(-246)*(-6)/50*-3. -3/5 Evaluate ((-13)/39)/(1/18). -6 What is 3*-2*5/(60/8)? -4 Evaluate 13/130*-8*2/(-4). 2/5 What is ((-2)/52)/(((-90)/40)/(-9))? -2/13 Calculate (-3)/6*11*2/22. -1/2 (21/(-210))/(2/((-16)/2)) 2/5 What is the value of 12/4*((-21)/7)/(-9)? 1 What is (-2)/(-30)*(-15)/(-10)? 1/10 Calculate ((-30)/25)/(7/35). -6 Calculate ((2/8*6)/2)/(-3). -1/4 (-20)/22*4/(-20) 2/11 What is 12/9*18/(-12)? -2 Calculate (0/(3/(-1)))/((-12)/(-12)). 0 What is ((5/(-25))/((-1)/(-1)))/1? -1/5 (-1)/(5*3/(-45)) 3 Calculate (84/(-7))/((-3)/(-15)*10). -6 What is the value of (96/30)/8*-15? -6 Evaluate 10/(-35)*8/(-12)*21. 4 (-1)/(-18)*(-88)/11 -4/9 What is -2*9/(-720)*-5? -1/8 Evaluate ((-18)/(-3))/(-2)*1. -3 Calculate (3/15)/(-5*(-4)/100). 1 What is (3/(-2))/(1/((-4)/(-24)))? -1/4 What is (-15)/(-3)*(-28)/(-35)? 4 Evaluate ((-28)/7*(-1)/(-5))/2. -2/5 80/(-48)*(-3)/(-1) -5 Calculate ((-10)/(-6))/((-60)/216*-2). 3 (-2*1/(-66))/(7/42) 2/11 Calculate 234/273*3/((-6)/(-14)). 6 What is ((-28)/49)/(52/(-14))? 2/13 What is (-14)/(-2)*(-320)/(-448)? 5 What is the value of ((-3)/(54/(-12)))/(2/15)? 5 What is the value of (-3)/((-19)/(38/9))? 2/3 What is the value of (8/10)/(2/5*-1)? -2 Calculate (((-3)/3)/4)/((-6)/(-4)). -1/6 Calculate -5*1/(-15)*-2. -2/3 What is (15/(-10))/(1/2)? -3 Calculate (-140)/(-42)*2/4. 5/3 Calculate 2/(-6)*(-170)/34. 5/3 Evaluate ((-145)/(-870))/(-1*2). -1/12 Calculate -1*78/195*15/2. -3 Evaluate (-5)/(20/16)*(-110)/88. 5 What is (100/125)/(2/(-5))? -2 What is (2/((-30)/(-1)))/(8/(-16))? -2/15 What is the value of 5/2*15/((-
{ "pile_set_name": "DM Mathematics" }
ivided by 18? 15 Suppose -5*g + 8*g - b = 2272, 3*g - 2*b = 2267. Let k = 789 - g. Calculate the remainder when 149 is divided by k. 29 Suppose 5*c + 3080 = 3*g, 8*g - 5*g = -5*c + 3070. What is the remainder when g is divided by 20? 5 Suppose 61 = 14*l + 5. Let h(i) = 0 - 43*i**2 - l + 8 - i + 44*i**2. Calculate the remainder when 76 is divided by h(-3). 12 Suppose -2*p + 4*l = -444, -4*l = 3 - 19. Calculate the remainder when 445 is divided by p. 215 Suppose -2*v + 59 = 1. Suppose q = 3*m - 34, v = 3*m + 2*q + 2*q. Suppose -m*t = -7*t - 16. What is the remainder when 15 is divided by t? 3 Let n(m) = -m**2 - 292*m - 5919. Suppose 5*f = -25, o - 3*f + 2*f - 61 = 0. Calculate the remainder when o is divided by n(-22). 14 Let k = -6565 - -7217. Calculate the remainder when k is divided by 162. 4 Suppose -2879 = 13*p - 11277. Calculate the remainder when p is divided by 54. 52 Let b(o) = -2*o**3 - 26*o**2 + 3*o - 12. Let d be b(-13). Let w = 94 + d. What is the remainder when 214 is divided by w? 42 Suppose 14*w = 164 + 13 - 9. Calculate the remainder when 320 is divided by w. 8 Suppose -4*a = -3*a - 255. Let f = a - 230. Suppose 0*q + 3*q - 30 = 0. Calculate the remainder when f is divided by q. 5 What is the remainder when (1 - 0)*121*1 is divided by 20*(-5)/(-70)*(-8820)/(-504)? 21 Suppose -4*l + 3*l + 16 = 0. What is the remainder when (1972/153 + 8/18)*192/160 is divided by l? 0 Calculate the remainder when 335 is divided by -1*15*5876/(-565). 23 Let m = 120 + -84. Let k = 52 - m. Calculate the remainder when 109 is divided by k. 13 Let z = 11297 + -9131. Calculate the remainder when z is divided by 144. 6 Suppose 0 = 5*m + 7374 - 7539. Calculate the remainder when 1714 is divided by m. 31 Let g = -2 - -28. Suppose -c + 2*z + 13 = 0, -15 = 3*c + 5*z + 1. Suppose 3*u = -c + 30. What is the remainder when g is divided by u? 8 Let w be 19 - 8 - (2 - -5). Suppose 40*i - 36*i - 5*b = 123, w*i = -5*b + 173. Calculate the remainder when 71 is divided by i. 34 Suppose -5 = 5*s, -5*s = 117*r - 122*r + 125. Calculate the remainder when 654 is divided by r. 6 Let p(a) = a**3 + 4*a**2 - 267*a + 72. What is the remainder when p(17) is divided by 35? 27 Suppose 0 = -2*q - 8*w + 12*w - 20, 5*w - 25 = -3*q. Suppose q = -8*k + 84 + 132. Calculate the remainder when 184 is divided by k. 22 Let u = -4266 - -4381. Calculate the remainder when 355 is divided by u. 10 Let r(s) = 11 + 3*s**3 + 11*s**2 + 3*s**3 - 7*s**3. Let m(b) = 4*b**3 + b**2 - 3*b + 2. Calculate the remainder when m(2) is divided by r(11). 10 Let i = 7623 - 7571. What is the remainder when i is divided by 16? 4 Let o be (12/18)/((-28)/(-12) - 2). Calculate the remainder when -4 + 150 + (o - -2) is divided by 14. 10 Let x = 141 - 139. Calculate the remainder when 88 is divided by x/(-7) - 815/(-35). 19 What is the remainder when ((-98)/(-147))/(1/2736) is divided by 83? 81 Let r(m) = 1034*m + 2829. What is the remainder when r(-2) is divided by 28? 5 Let c = -50 + 110. Suppose -2*a = -8*a - c. Calculate the remainder when 54 is divided by (-6)/(-9)*(-6)/(-4) - a. 10 Let f = 5733 - 3829. Calculate the remainder when f is divided by 159. 155 Let g = -158219 + 158283. Let j(x) = x**3 + 10*x**2 + 5*x + 3. Calculate the remainder when g is divided by j(-9). 25 Let z(h) = -28*h + 303. Suppose -4*l + 5*o + 41 = 0, -17 = -2*l - o - 0. What is the remainder when 110 is divided by z(l)? 8 Let v = -9946 - -10076. What is the remainder when 546 is divided by v? 26 Suppose -2*m - 30 = -3*u, 39 - 9 = 3*u - 4*m. Let g be (-6)/(-33) - (-210)/(-66). Calculate the remainder when 1/(-4 - g)*-29 is divided by u. 9 Suppose 0 = -35*v + 78*v - 23*v - 340. Calculate the remainder when 680 is divided by v. 0 Let g(y) = y**2 + 4*y - 1. Let i(o) = -7*o**2 + o + 1. Let x be i(1). Let b be g(x). Calculate the remainder when 4 is divided by ((-20)/b - -3)*-1. 0 Let v = 13686 - 11105. What is the remainder when v is divided by 41? 39 Suppose 116*n - 120*n - 5*b + 2535 = 0, -4*b + 1902 = 3*n. What is the remainder when n is divided by 78? 6 Let l(f) = f**3 - 6*f**2 - 10*f - 30. Let t be l(10). Let y = -182 + t. What is the remainder when y is divided by 18? 16 Suppose 17077 = 215*k + 5467. What is the remainder when 260 is divided by k? 44 Suppose 2*k - 16 = 4*n + 46, -2*k - 5*n = -71. Calculate the remainder when 99 is divided by k. 0 Suppose 2*g = 2*n + 96 + 332, 0 = 2*g + 6*n - 484. Calculate the remainder when 262 is divided by g. 41 Let o(f) = 13*f**2 - 9*f - 52. What is the remainder when o(-5) is divided by 80? 78 Suppose -7*o = -47*o + 29520. Calculate the remainder when o is divided by 74. 72 Let x(l) = l**2 + 45*l + 5. Let z be x(-45). Suppose 6*c - 100 = c + 4*o, -z*c - 3*o + 135 = 0. What is the remainder when 114 is divided by c? 18 Suppose 4635 = 147*n - 44*n. Let o = 6 - 5. Calculate the remainder when o*87*1 + 0 is divided by n. 42 Suppose 5*v + 487*w = 482*w + 1395, -v - 5*w + 307 = 0. What is the remainder when 827 is divided by v? 11 What is the remainder when 6813 is divided by 58/290 + (-395)/(-25)? 13 Let j = 123 - 119. Suppose 157 = 4*u + 5*d, 113 = -u + j*u - d. What is the remainder when u is divided by 8? 6 Let z(w) = -46*w - 1320. Let c = -253 - -361. Suppose -3*v = -6*v + c. Calculate the remainder when v is divided by z(-29). 8 Suppose -194 = -2*w + 4*t, 4*t + 103 = 5*w - 4*w. Suppose -5445 = 10*p - 15*p. Calculate the remainder when p is divided by w. 88 Let y(o) = 3*o**2 + 9*o + 12. Let t be 10/(-75) + 219/(-45). What is the remainder when y(t) is divided by 30? 12 Let j = -23181 - -28286. What is the remainder when j is divided by 111? 110 Let i(t) = 7*t - 96. Suppose 217 = 12*n + 25. What is the remainder when 30 is divided by i(n)? 14 Let g be 1*(7 + (-3)/1). Suppose g*o = -5*j + 160, 2*j - 78 = 3*o - 5*o. Calculate the remainder when 54 is divided by o. 19 Let u be ((-1)/(-2))/((-6)/(-264)). Suppose -3*p = -2*c + 7, -28 = -5*c + p + u. What is the remainder when ((-624)/(-60))/(2/10) is divided by c? 8 Suppose 2*w + h - 1813 = 2*h, -4*w - 3*h + 3601 = 0. Suppose 64 = -20*b + w. What is the remainder when 249 is divided by b? 39 Let x = 23 - -72. Suppose 0*t - 5*t + 140 = -4*y, -10 = 2*y. What is the remainder when x is divided by t? 23 Let n = -2760 - -1680. Let f = 60 + 18. What is the remainder when 53 is divided by (-4)/(-26) - n/f? 11 Suppose 22*x + 633 = 2*x + 1993. Calculate the remainder when 1087 is divided by x. 67 Let p(v) = -45*v + 171. What is the remainder when p(-13) is divided by 190? 186 Suppose 5*h - 31 = -d + 28, 4*h - 3*d - 32 = 0. Suppose -407 = -h*c + 132. Calculate the remainder when c is divided by 16. 1 Suppose -3*f = -22 + 19. Let y be (f/(4/180))/(4/12). Suppose 16 = -17*g + y. What is the remainder when 26 is divided by g? 5 Let j(t) = -964*t + 2283. Calculate the remainder when 1790 is divided by j(2). 15 Suppose 0 = -g + 39 - 14. Suppose 205*y - 12484 = -2890 + 5576. Calculate the remainder when y is divided by g. 24 Let s(j) = j**3 - 127*j**2 + 138*j - 1360. Calculate the remainder when 1058 is divided by s(126). 146 Suppose 2*w - 4*w = 2*p - 38, w - 73 = -4*p. Let x(y) = y + 38. Let n be x(p). Let u = 70 - n. Calculate the remainder when 26 is divided by u. 12 Suppose 0 = -25*g + 694 + 1374 + 357. Calculate the remainder when 1458 is divided by g. 3 Let s(d) = 15*d**3 - 8*d**2 + d + 15. Let j be s(-3). Let l = 525 + j. What is the remainder when 839 is divided by l? 59 Let q(z) = -3*z + 85. Let w(l) = 4*l - 85. Let v(d) = 3*q(d) + 4*w(d). Calculate the remainder when v(21) is divided by 17. 11 Calculate the remainder when (-6)/((-48)/16504)*3/9*6 is divided by 51. 46 Suppose -3*k - 5*o - 16 = 0, 0*o + 25 = -5*o. Suppose 3*j + 39 = -k*u, -2*u - 5*j - 2 = -4*u. Let n = u - -76. Calculate the remainder when n is divided by 23. 21 Suppose 0*x = 5*x + 2*z + 2620, -2*z = -3*x - 1556. Let o be ((-1)/(-2)*1)/((-9)/x). Let a = o - 21. Calculate the remainder when 29 is divided by a. 5 Suppose -2*l = -6*l - 88. Let u = 85 - 86. Let o = u - l. Calculate the remainder when 80 is divided by o. 17 Suppose -4*w + 2975 = 3*f, -f + 515 = 4*w - 498. What is the remainder when f is divided by 115? 61 Suppose -6*i + 3*i - 5*t + 374 = 0, -3*i + 342 = -3*t. What is the remainder
{ "pile_set_name": "DM Mathematics" }
wrt y? 48 What is the first derivative of 91*l**2 + 31 - 6 + 29 + 14 wrt l? 182*l Let i(n) be the first derivative of 5/2*n**4 - 9/2*n**2 + 0*n**3 + 0*n + 13. Find the second derivative of i(w) wrt w. 60*w Find the third derivative of 15*r**2 + 132*r - r**5 + 126*r + 131*r + 2*r**5 - 35*r**4 - 392*r wrt r. 60*r**2 - 840*r Let o(r) = 2*r**2 + 17*r - 6. Let n be o(-9). Find the third derivative of 8*p**n - 5*p**2 + 5*p**2 - 6*p**2 wrt p. 48 Suppose b = 2*j - 7, -4*b = 2*j - 7 - 15. What is the third derivative of 4*t**3 + 19*t**2 - 28*t**2 - 20*t**4 - 4*t**b wrt t? -480*t Suppose 2*n = -2*n - 4. Let s = 4 + n. Find the second derivative of -c + c + 11*c**s - c - 8*c**3 wrt c. 18*c Let j(r) be the third derivative of -91*r**4/24 + 200*r**3/3 + 383*r**2. What is the derivative of j(i) wrt i? -91 Let k(n) = 12*n + 8 + 8 - n**2 + 0. Let q be k(13). Find the third derivative of 4*s**3 - s**2 - q*s**2 + s**3 wrt s. 30 Let p be 2/(-5*(-8)/220). What is the derivative of -p - 24*t + 19 + 15 wrt t? -24 Let q(f) = 705*f**4 + 7*f**3 + 42*f**2 + 12. Let t(x) = 352*x**4 + 4*x**3 + 20*x**2 + 7. Let k(d) = -3*q(d) + 5*t(d). Find the third derivative of k(y) wrt y. -8520*y - 6 Let s be (24/(-14))/((-6)/756). Let u be s/99 + 4/(-22). Find the first derivative of 1 + 4 + d**4 + u*d**4 + 0 wrt d. 12*d**3 Suppose 34 = 3*p - 20. Suppose -z + 11 = 4*t, 4*t - t + 4*z = p. Find the third derivative of -4*f**t - 16*f**6 - 3 + 3 + 14*f**6 wrt f. -240*f**3 Let o = -43 - -173/4. Let h(b) be the first derivative of 2*b + 0*b**3 + 3 + 0*b**2 - o*b**4. Differentiate h(i) wrt i. -3*i**2 Let q(n) be the third derivative of -n**4/8 - n**3/6 - 4*n**2. Let b be q(-1). Find the third derivative of 7*c**5 + 2*c**5 - 4*c**5 - 3*c**b wrt c. 300*c**2 Suppose -3*t + 15 = 2*t. Let w be 5/(-15) - (-16)/t. Find the first derivative of -w + 3 - 3*g - 5 + 2 wrt g. -3 Let f(w) = w + 12. Let q be f(-8). Let j = 6 - q. What is the second derivative of k - 7*k + 4*k**j + k + 6*k wrt k? 8 Let j(u) be the first derivative of -623*u**5/5 - 995*u**2/2 + 906. What is the second derivative of j(h) wrt h? -7476*h**2 Let z(j) = 68*j**2 + 10*j - 1. Let b(v) = 67*v**2 + 11*v + 1. Let m(a) = -2*b(a) + 3*z(a). Find the second derivative of m(o) wrt o. 140 Let p(g) be the first derivative of -325*g**6/6 + g**2 + 6*g + 254. Find the second derivative of p(b) wrt b. -6500*b**3 Suppose 2*k + 11 = 17. What is the first derivative of -4 + k - 14*c**2 + 9 wrt c? -28*c Let c(p) be the first derivative of 253*p**2 - 8*p - 55. Differentiate c(x) with respect to x. 506 Let k(d) = 2*d + 9. Let q be k(-3). Find the second derivative of -11*o**2 - 10*o**3 + 11*o**2 + 7*o**q - 4*o wrt o. -18*o Suppose 36 = 3*o + 3. Let p(v) = 5*v**2 - 2*v + 4. Let w(a) = -26*a**2 + 11*a - 21. Let t(l) = o*p(l) + 2*w(l). Differentiate t(k) wrt k. 6*k Let m(u) be the second derivative of u**6/5 - 25*u**3/6 - 13*u**2/2 + 22*u. Let h(p) be the first derivative of m(p). Differentiate h(r) wrt r. 72*r**2 Let d(o) = -91*o**5 - 9*o**2 - 4. Let y(s) = -271*s**5 - 27*s**2 - 11. Let z(g) = 11*d(g) - 4*y(g). Find the third derivative of z(h) wrt h. 4980*h**2 What is the second derivative of 3132*j + j**5 - 3021*j - 100*j**3 + 0*j**5 wrt j? 20*j**3 - 600*j Let v = -54 - -18. Let q = -34 - v. What is the third derivative of 35 - 35 - 14*b**3 - 6*b**q wrt b? -84 Let d = -58 - -124. What is the derivative of 42*x - d*x + 27 + 18*x + 48*x wrt x? 42 Let c = 54 - 52. What is the third derivative of 13*y**5 - 11*y**c + 11*y**2 - 11*y**2 - 7*y**2 wrt y? 780*y**2 Let s(l) = -l + 1. Let d(k) = -4*k. Let i(t) = 4*t. Let z(b) = 3*d(b) + 2*i(b). Let p(c) = 5*s(c) + z(c). What is the derivative of p(h) wrt h? -9 Let q(w) = -330*w**5 + 11*w**4 - 25*w - 11. Let c(s) = 66*s**5 - 2*s**4 + 5*s + 2. Let d(n) = 11*c(n) + 2*q(n). What is the second derivative of d(a) wrt a? 1320*a**3 Let w(n) = -n - 5. Let f be w(-5). Suppose 4*y - 29 = -5*k, 0 = k + 2*y - f*y - 7. What is the second derivative of -k*u**5 + 0*u + 3*u - 4*u wrt u? -100*u**3 Let f(g) = 4. Let j(p) = -1. Let o(t) = -2*f(t) - 4*j(t). Let w(z) = z - 4. Let n(y) = -3*o(y) + 4*w(y). What is the first derivative of n(r) wrt r? 4 Let a(v) be the third derivative of 0*v**3 - 1/2*v**4 + 0*v - 11*v**2 + 0*v**5 + 0 - 1/15*v**6. What is the second derivative of a(l) wrt l? -48*l Let o = 74 + -39. Find the second derivative of -t**5 - 13*t**5 - 13*t - 35*t**2 + o*t**2 wrt t. -280*t**3 Suppose 0 = -2*g + 4*p - 4, -3*p - 8 = -7*p. Suppose g*b + b = 12. What is the first derivative of -b - 3*j - 3*j + j wrt j? -5 Suppose 0 = -3*t + 27 + 3. Let p = t + -6. What is the first derivative of 4*n**3 + n**p - 3*n**4 - 3 - 4*n**3 wrt n? -8*n**3 Suppose b + 18 = 5*m - 34, 0 = -2*m - 3*b + 14. Find the first derivative of -14 - 12 - m*l**2 + 4 wrt l. -20*l Let d(z) be the first derivative of -z**4/2 + 13*z**3/3 - z - 8. Let y(t) be the first derivative of d(t). What is the second derivative of y(b) wrt b? -12 Let g = -55 + 66. Find the third derivative of 2876*a**5 + 23*a**2 + g*a**6 - 2876*a**5 wrt a. 1320*a**3 Let b(w) = -w**3 - 2*w**2 + 37*w - 472. Let y(g) = g**3 - g**2 + g + 2. Let x(z) = -b(z) + 2*y(z). What is the first derivative of x(a) wrt a? 9*a**2 - 35 Let h(m) be the first derivative of 0*m**2 + 0*m - 17/3*m**3 + 2/3*m**6 + 20 + 0*m**4 + 0*m**5. Find the third derivative of h(i) wrt i. 240*i**2 Let g(k) = 658*k**4 + 9*k**2 + 913*k - 9. Let f(o) = -165*o**4 - 2*o**2 - 228*o + 2. Let t(l) = -18*f(l) - 4*g(l). Find the second derivative of t(b) wrt b. 4056*b**2 Differentiate -80*a**2 + 2*a + 34 - 4*a + 3*a + 60 with respect to a. -160*a + 1 Let i(d) be the second derivative of -29*d**5/10 - 79*d**4/3 - 22*d + 7. Find the third derivative of i(j) wrt j. -348 Let i(r) be the second derivative of -5*r**8/28 + 5*r**6/6 - r**4/12 - 179*r**3/6 - 483*r. Find the third derivative of i(b) wrt b. -1200*b**3 + 600*b Let z(y) = 633*y**3 - 6*y**2 - 3*y + 5. Let n(l) = -6964*l**3 + 64*l**2 + 32*l - 56. Let g(f) = -3*n(f) - 32*z(f). What is the derivative of g(c) wrt c? 1908*c**2 Let m(s) be the first derivative of 14 - s + s**3 - 2*s**2 - 19 - s. Let u(t) be the first derivative of m(t). Find the first derivative of u(o) wrt o. 6 Let i(u) be the second derivative of 1/3*u**6 + 0*u**5 + 0*u**3 + 0 + 2/3*u**4 + 0*u**2 - 8*u. What is the third derivative of i(v) wrt v? 240*v Let q(p) be the second derivative of -19*p**5/10 + 5*p**4/12 + p**2/2 + 2*p + 24. What is the third derivative of q(k) wrt k? -228 Let t(v) be the third derivative of 103*v**5/15 + 297*v**3/2 - 433*v**2. Differentiate t(j) wrt j. 824*j What is the third derivative of 189*j**3 - 261*j**3 - 4*j**2 + 15*j**2 - 2*j + j**2 wrt j? -432 Suppose -4*r = -r + 3. Let a be (3 - 2 - r) + 2. Differentiate -5*x + 4*x**2 + a*x - 1 + x wrt x. 8*x Let p(m) be the first derivative of 351*m**5/5 - 2*m**2 - 38*m - 604. What is the second derivative of p(i) wrt i? 4212*i**2 What is the third derivative of 22*i - 68*i**4 + 7 - 7 - 11*i**2 + 12*i**2 + 24*i + i**3 wrt i? -1632*i + 6 Let y = -20 - -31. Let i(k) = -16*k + 11. Let z(r) = 49*r - 34. Let m(a) = y*i(a) + 4*z(a). Find the first derivative of m(t) wrt t. 20 Suppose 4*q + 44 = 4*z, 0 = 7*z - 4*z + 5*q - 17. Differentiate 2*b**2 - 3 + z*b**4 - 2*b**2 - 7*b**4 with respect to b. 8*b**3 Let h = -35 - -37. Find the third derivative of -13*a**6 + 63*a**2 + 70*a**h - 137*a**2 + 3*a**6 wrt a. -1200*a**3 Let j(m) be the third derivative of 8*m**2 + 0*m + 0*m**5 + 0 + 0*m**7 + 0*m**6 + 0*m**3 - 1/42*m**8 - 5/24*m**4. Find the second derivative of j(r) wrt r. -160*r**3 Let b(l) be the second derivative of -8*l + 0 + 0*l**2 + 3/4*l**4 + 1/2*l**3. Find the second derivative of b(y) wrt y. 18 Suppose 2*m + 3*m = 20. What is the first derivative of 2*j + m*j + 5 + 3*j + 2 wrt j? 9 Let u = -1915 + 1919. Let k(n) be the second derivative of 0*n**u + 0*n**5 - 12*n - 2*n**2 + 7/30*n**6 + 0*n**3 + 0. What is the first derivative of k(a) wrt a? 28*a**3 Let u(z) be the second derivative of 11*z**7/6 + 44*z**3/3 + 45*z. What is the second derivative of u(p) wrt p? 1540*p**3 Let b(d) = 4 + 8*d - 6*d + 4*d**3 - 5*d**3 + 5*d - 4*d**2. Let s be b(-6). Differentiate -4*y - s + 4*y - 8*y**2 + 29 with respect to y. -16*y Let o(w) = -w**3. Let d(k) = 165*k**4
{ "pile_set_name": "DM Mathematics" }
*2 Expand -10*u + 2*u - 3*u + (-15 - 18 + 0)*(u - 6*u + 4*u). 22*u Expand (-5*z + 4*z - z)*(36*z + 71*z + 26*z) + (-2*z + z + 3*z)*(2*z + 2*z - 6*z) + 2*z**2 - z**2 + z**2. -268*z**2 Expand (-2 + 2 - 2*w)*(3*w**2 - 4*w**2 + 9*w**2) - 24*w + 35*w**3 + 15*w + 8*w. 19*w**3 - w Expand (0*v**2 - 3*v**2 + 2*v**2)*((-221*v**2 + 115*v**2 + 130*v**2)*(-3*v + 0*v + v) + 4 - 4 + v**3). 47*v**5 Expand (3*t + 1 - 1)*(5*t + 3 + 4*t - 10*t**2 - 11*t). -30*t**3 - 6*t**2 + 9*t Expand (-1 + 1 + 1)*(-4 - 2*j + 4)*(17 + 19 + 94)*(1 + 1 + 0). -520*j Expand (-2 - 4 + 0)*(-25*l**5 - 192*l**2 + 192*l**2). 150*l**5 Expand (2*w - w - 2*w + (0 + 4 - 3)*(w - w - 4*w))*(-273*w + 49*w - 13*w). 1185*w**2 Expand (-2*f**2 - 2*f**2 - 3*f**2)*(-2 - 4 + 4) + (-1 - 6 - 1 + 3*f)*(-1 - 2*f + 1). 8*f**2 + 16*f Expand -4 + 3 - 4*w**4 - 8*w**4 - 2*w**3 - 5*w**4 + 2*w**3 + (3*w**4 - 6*w**4 + 2*w**4)*(-2 + 6 - 2). -19*w**4 - 1 Expand ((-5 + 3 + 0)*(2*y**2 - 2*y**4 - 2*y**2) - y**4 - 2*y**2 + 2*y**2 + 4*y**4 + 3*y**4 - 5*y**4)*(7 - 7 - 19*y). -95*y**5 Expand (0*s + 0*s - 2*s**3)*(-3*s + 2*s + 0*s)*(2 + 2 + 1). 10*s**4 Expand 1 + r**3 - 1 - 5*r**3 + 0*r**3 + 2*r**3 + (-2*r**2 - 2*r**3 + 2*r**2)*(-4 + 2 + 0). 2*r**3 Expand (10*o**2 - 51 + 51)*(-4 + 6 - 3)*(2 - 3 + 2). -10*o**2 Expand 2*r - 3*r + 2*r + 0*r + 0*r + r + (6 - 2 - 2)*(2 + r - 2) + 15*r + 6*r + 6*r - r + 1 - 1 + (0 + 0 + 2)*(6*r - 2*r + 0*r). 38*r Expand (2*x**4 + 2*x**2 - 2*x**2)*(x - 3 + 3) + (-4*x**3 + 4*x**3 + 2*x**4)*(-x + 1 - 1) - x**3 + x**3 + x**5 + (x**3 + x**4 - x**3)*(-33*x - 22*x + 14*x). -40*x**5 Expand ((-1 + 1 - 2)*(-1 + q + 1) + 23*q + 4*q - 6*q)*(q - q - 2*q). -38*q**2 Expand (-1 + 2 + 1)*(501*y**2 - 2 + 1 - 374*y**2). 254*y**2 - 2 Expand -4*h**4 - 1 + 2*h**4 + 3*h**4 + 23*h**4 - 23 + 23 + (0 + 0 - 2*h)*(-2*h + 2*h + h**3) + 2*h**2 + h**4 - 2*h**2 + h**3 - h**3 - 3*h**4. 20*h**4 - 1 Expand 0*y**5 - 3*y**5 + y**5 + (2*y**3 - 2 + 2)*(y + y**2 - y) + 5*y**5 - 2*y**5 - 2*y**5 + (2*y + 2*y**5 - 2*y)*(-1 + 0 + 0) + 174*y**4 - 174*y**4 - 9*y**5. -10*y**5 Expand -10*y - 4*y - 6*y + (0*y + 3*y - 4*y)*(2 - 5 + 4). -21*y Expand (35 - 17 - 321*w**2 - 18)*(-w**3 + w**3 - w**3). 321*w**5 Expand (0 + 6 + 17)*((-6 + 1 + 3)*(-4*v + 5*v + 0*v) + 10 - v - 10). -69*v Expand (-2*q**3 + 0*q**3 + 3*q**3)*((-q + 3*q + q)*(0*q + q - 3*q) + (0*q + q - 2*q)*(-1 + 1 - q) + 222*q**2 - 131*q**2 - 158*q**2). -72*q**5 Expand (0*x - x - x)*(-1 - 2 - 2)*((1 + 0 + 1)*(-1 + 0 - 1) + 0 + 4 - 6 + (8 + 11 + 0)*(5 - 1 - 6)). -440*x Expand (3*m + 0*m - m)*(0*m**2 + 0*m**2 - m**2) - 12660*m**3 - 2 + 4 + 12551*m**3 - 2 - 2*m + 4*m**3 - 4*m**3 + 2*m**3. -109*m**3 - 2*m Expand (5*f**3 + 2*f**3 + 2*f**3)*(-57*f - 56*f - f**2 + 108*f). -9*f**5 - 45*f**4 Expand (-3*a - 97*a**2 - 21 + 30*a**2 + 65*a**2)*(-2*a**2 + 2*a**2 + 2*a**2). -4*a**4 - 6*a**3 - 42*a**2 Expand (-1 - 4 + 4)*(-2*k + 3*k + 0*k)*(-2*k**2 + 4*k - 28*k + 3*k). 2*k**3 + 21*k**2 Expand 1066 - 159*r**5 - 1066 + 0*r**5 + r**5 - 2*r**5 + (-2 + 2 + 2*r**3)*(-4*r**2 - r**2 + 3*r**2). -164*r**5 Expand (4*h**2 - 4*h**2 + 3*h**3)*(-2 + 0 + 0)*(210 - 428 + 218 + 1062*h**2). -6372*h**5 Expand (-4*x**2 - 6 + 6)*(3*x**3 + 4*x**2 - 4*x**2)*(-4 - 19 - 27 + 1). 588*x**5 Expand 8*p - 8*p + 2*p**3 + (-2*p - 2 + 2)*(-9*p**2 - 4*p**2 + 0*p**2) + p**3 - 2*p + 3*p + 0*p**3. 29*p**3 + p Expand (-30*k + 21*k - 49*k)*(-1 + 2 - 2) - k + 3*k + k. 61*k Expand (0*q**2 - q**2 + 0*q**2)*(0 + 0 - 2*q**3) + 3*q**4 - 3*q**4 + 2*q**5 - 3*q**5 + 432 + 14*q + q**4 - 431 - 18*q. q**5 + q**4 - 4*q + 1 Expand (-2*s - 249 - s + 264)*(3 + 2 - 6). 3*s - 15 Expand (2*b**2 - b**2 + b**2)*(3 + 0 + 3) + 0*b**2 + 0*b**2 + b**2 - 2*b**2 - 2*b**2 + 3*b**2 + (4*b - b - b)*(2*b + 2 - 2). 16*b**2 Expand (4 - 4 + n)*(-6146 - 556*n**2 + 6146). -556*n**3 Expand (6*q - 5*q - 2*q + (4 - 5 + 0)*(5*q - 3*q + 0*q) - 2*q - q + 2*q)*(-22*q + 36*q + 49*q). -252*q**2 Expand (12*l - 3*l + 2*l)*(-l**2 + 0 - 8 + 3) + 0*l**3 + l**3 - 2*l**3. -12*l**3 - 55*l Expand (4 - 2 - 4 + 3 + 3 - 4 + (4 + 1 - 3)*(2 - 2 + 2) + 3 - 2 - 2 - 3 + 6 - 1)*(5 - 4 + 0)*(0*h + 5*h - 3*h)*(2*h**3 - 2*h**3 - h**4). -10*h**5 Expand (-5 + 97*t**4 - 50*t**4 - t**3 - 50*t**4)*(-4*t + 0*t + t). 9*t**5 + 3*t**4 + 15*t Expand (-10*y**2 + 19*y**2 + 18*y**2)*(0 + 0 - 1)*(-2 - 4 + 5). 27*y**2 Expand (-4 + 3 + 3)*(-m - 3*m + 2*m) - m - 2*m + 5*m + 3*m + 3*m - 5*m + (28 + 11 - 62)*(9 - 5*m - 9). 114*m Expand 7*g - 12*g + 13*g + (g - 3 + 3)*(0 + 1 - 3) + 4*g - 6*g + g - 3*g - 3*g + 0*g. -g Expand (0*v + 0*v + v)*(4*v - 5*v + 3*v) + 0*v**2 + v**2 + v**2 - v**2 + 9*v - 9*v + 3 - 49*v**2 + 29*v**2 + 24*v**2. 7*v**2 + 3 Expand (-5 + 0 + 2)*(z + z - z)*(11*z**2 - 7*z**2 + 9*z**2). -39*z**3 Expand (0 + 0 + 5390*m - 5170*m)*(2 - 3 + 2). 220*m Expand 0 - d + 4 - 1 + (12 - 5 + 26)*(1 + 3*d - 1). 98*d + 3 Expand (-2 + r + 2 - 2)*(-30*r - 80*r + 22*r). -88*r**2 + 176*r Expand (1031*b - 1031*b - 265*b**2)*(0 - 2 + 1)*(-2 + 3 + 0). 265*b**2 Expand 224*d**5 + 58*d**5 - 89*d**5 + (2*d**4 - d + d)*(-3*d - 3*d + 5*d). 191*d**5 Expand (3 - 3*z - 3)*(23*z - 13*z + 17*z + 3 + 37*z). -192*z**2 - 9*z Expand (-v + 3*v - 3*v)*(-97*v**2 + 55*v**3 + 97*v**2) - v**2 + 2*v**4 + v**2. -53*v**4 Expand (-5 + 6 - 6)*(-q - 3*q + 5*q)*(15 + 10 + 3)*(0*q**4 + 2*q**4 - q**4). -140*q**5 Expand (-8*t - 4*t - 8*t)*(28*t**2 - 28*t**2 + 9*t**3). -180*t**4 Expand (1 - 18*p + 0*p + 7*p)*(-3*p**4 - 4*p**4 + 5*p**4) - 2*p**5 - 3*p**5 + 7*p**5 + (-1 + 5 - 1)*(5*p**2 - 5*p**2 + 2*p**5). 30*p**5 - 2*p**4 Expand -4*f**2 - f**2 + 3*f**2 + (-1 + 1 - f)*(5*f - 3*f - 4*f) - 1 + 1 + 2*f**2 - 1 + 1 + 2*f**2 + 125 - 120 - 20*f**2 + 45*f**2. 29*f**2 + 5 Expand (5*o + 0 - 1 - 3*o)*(-53*o**2 - 15*o**2 - 88*o**2). -312*o**3 + 156*o**2 Expand (-40*j - 38 + 47*j - 6*j)*(3 - 4 + 3). 2*j - 76 Expand 4*k**2 - 36*k**2 + 65*k**2 + (2*k + 2 - 2)*(0 + 0 + k) + 3 - 3 + 2*k**2 + (-3*k + k - 4*k)*(3*k - 3*k - k). 43*k**2 Expand (5*y + 0*y + y)*(-30*y**4 + y**3 + y**3 - 7*y**4). -222*y**5 + 12*y**4 Expand 3*b**5 + 2*b**5 - 2*b**5 + (3*b**3 - 4*b**3 + 3*b**3)*(4*b - 2*b + 2*b)*(-2*b - 2*b - b). -37*b**5 Expand (y**3 - 3*y**3 + 3*y**3)*(4*y - y - y) - 38*y**4 + 84*y**4 - 11*y**4. 37*y**4 Expand (2 - 5 + 2)*(-37*h + 46*h + 102*h) + (-2*h + 2*h - 2*h)*(4 + 2 - 3). -117*h Expand -2 + 2 + 4*o**5 + (-o**5 - 4*o**5 + 4*o**5)*(-1 + 3 - 5) - o**3 + 3*o**3 - o**5 + 3 + 2*o**5. 8*o**5 + 2*o**3 + 3 Expand (-11 + 8 + 4 - 29*z)*(-2 + 0 + 1). 29*z - 1 Expand (-2*l + 0*l + 4*l)*(0 + 3 + 0)*(-3 - 12 + 6)*(0 - 2 - 2). 216*l Expand -2*z**4 - 2*z**4 + 2*z**4 + (-5*z**2 + z**2 + 3*z**2)*(-z**2 + 3*z**2 - z**2) - 11 + 105*z**4 + 9 - 163*z**4. -61*z**4 - 2 Expand (4 + 1 - 4)*(t + 3*t - 2*t) - 3*t + t + 4*t + 38*t - 29 + 29. 42*t Expand (2*b**2 + b**2 - 2*b**2)*(-2*b + b - 8*b + (0 + 3 - 5)*(-b - b - b) - 3*b - b + 2*b). -5*b**3 Expand (27 - 15 + 7*m - 15)*(-4*m**2 - m**2 + 3*m**2) + m**3 - 5*m**3 + 0*m**3. -18*m**3 + 6*m**2 Expand -2*j**3 + 2*j**3 + j**3 + (-20 + 20 + 8*j)*(-29*j**2 - 15*j**2 + 4*j**2). -319*j**3 Expand (-290 + 122 + 44 + j**5)*(-4 + 2 + 0). -2*j**5 + 248 Expand 465 - 926 + 7*j**4 + 459 - 3*j**2 + 2*j**3 - 2*j**3 - 2*j**4 + (-j**3 - 4*j**3 + 3*j**3)*(7*j - 3*j - 2*j). j**4 - 3*j**2 - 2 Expand (-209*z**4 - 10*z**4 - 313*z**4)*(0*z - 3*z + 2*z). 532*z**5 Expand (0 + 2 + 0)*(30*i - 2*i - 27*i - 14*i**5). -28*i**5 + 2*i Expand (117 - 37 + 86)*(-g**2 - 2*g**2 - g**2). -664*g**2 Expand ((-3 - 3 + 7)*(0 - 5 - 1) + (0 - 3 + 2)*(-3 + 4 + 1))*(-9 + 9 + 9*y**5). -72*y**5 Expand (-r - 4*r + 6*r)*(7*r + r - 3*r) - 1 + 1 - r**2 + 0*r**2 - r**2 + 3*r**2. 6*r**2 Expand (12*d**2 + 25*d**2 + d**2)*(-2*d**2 - 3*d**2 + 4*d**2) + (-d**2 + d**2 - 2*d**4)*(0 - 1 - 1) - d**4 - 2*d**4 + d**4. -36*d**4 Expand (2 - 5 + 4)*(6 - 3*r - 6) - 2*r + 6*r - 3*r + (2 + 0 + 4)*(2*r - 6*r + r). -20*r Expand (-1 - 3 - 2)*(-27 + 27 + 10*n**3)*(-2*n**2 - 3*n**2 + 6*n**2). -60*n**5 Expand (189*b + 3*b + 209*b + 285*b)*(2*b - 4 + 4). 1372*b**2 Expand (-3*m**2 + 2*m**2 + 0*m**2)*(-312 - m - 321 - 138*m**2 + 635). 138*m**4 + m**3 - 2*m**2 Expand (138*n**2 - 275*n**2 - 316*n**2)*(7*n - 3*n - 3*n). -453*n**3 Expand (-2*m + 0*m + m)*(-22 + 7 - 6)*(-1 + 0 - 5). -126*m Expand ((-4 + 5 - 3)*(0 + 2 - 3) + 2 - 5 + 1 + 15 - 19 - 23)*(17*s**2 + 20 - 20). -459*s**2 Expand (b - b - 2*b)*(-3026 + 3026 + 86*b) + (-2*b**2 + 7*b**2
{ "pile_set_name": "DM Mathematics" }
Two letters picked without replacement from wwwwywwyyyywyyww. Give prob of picking 2 w. 3/10 Calculate prob of picking 1 x and 2 n when three letters picked without replacement from {x: 1, n: 2, s: 1}. 1/4 Two letters picked without replacement from {e: 1, o: 2, z: 5, v: 5, q: 4, i: 3}. Give prob of picking 1 o and 1 i. 3/95 Three letters picked without replacement from {k: 1, u: 1, p: 1, r: 1, z: 1}. Give prob of picking 1 k, 1 p, and 1 z. 1/10 Two letters picked without replacement from {o: 13, u: 3}. Give prob of picking 2 u. 1/40 Calculate prob of picking 1 c and 2 y when three letters picked without replacement from {v: 1, k: 1, d: 1, c: 5, n: 1, y: 3}. 3/44 Two letters picked without replacement from oooh. What is prob of picking 1 o and 1 h? 1/2 Three letters picked without replacement from xiihxxc. What is prob of picking 1 h, 1 x, and 1 i? 6/35 What is prob of picking 1 p, 2 b, and 1 n when four letters picked without replacement from npppntnrbnpbpprrpr? 7/765 Calculate prob of picking 1 n and 1 g when two letters picked without replacement from ynnplyoolgnpgony. 1/15 Four letters picked without replacement from ttneenttteet. What is prob of picking 2 t and 2 e? 2/11 Calculate prob of picking 1 s and 1 v when two letters picked without replacement from svpdsmd. 2/21 Three letters picked without replacement from {k: 4, g: 3, t: 2, e: 10}. What is prob of picking 1 k and 2 e? 60/323 What is prob of picking 1 s and 1 g when two letters picked without replacement from isisitigtbtgiti? 4/105 What is prob of picking 1 u and 1 g when two letters picked without replacement from {y: 11, u: 1, g: 1}? 1/78 Two letters picked without replacement from memmmeueemeeueue. Give prob of picking 2 u. 1/40 Calculate prob of picking 1 p and 1 w when two letters picked without replacement from bwppfbwbpc. 2/15 Two letters picked without replacement from {f: 2, j: 8}. Give prob of picking 2 j. 28/45 Calculate prob of picking 2 p when two letters picked without replacement from pcccpcppccc. 6/55 Calculate prob of picking 1 c, 2 u, and 1 k when four letters picked without replacement from {u: 2, k: 1, w: 1, c: 1}. 1/5 Calculate prob of picking 1 l and 2 x when three letters picked without replacement from {l: 2, y: 1, x: 3, h: 4}. 1/20 Three letters picked without replacement from vcvccvc. Give prob of picking 1 c and 2 v. 12/35 Three letters picked without replacement from {w: 2, j: 1, c: 2, t: 1}. Give prob of picking 1 c, 1 t, and 1 j. 1/10 Calculate prob of picking 1 a and 2 q when three letters picked without replacement from zaqqrrqarrkkaa. 3/91 Four letters picked without replacement from bbbzzzbdzbzbzz. What is prob of picking 3 b and 1 d? 20/1001 What is prob of picking 1 s and 2 m when three letters picked without replacement from sszzmzzszzzlzztlzlmm? 3/380 Three letters picked without replacement from zjyiszr. Give prob of picking 1 i, 1 y, and 1 r. 1/35 What is prob of picking 2 j when two letters picked without replacement from {j: 5, m: 1, h: 2, t: 2, z: 2, s: 2}? 10/91 Three letters picked without replacement from {j: 2, q: 1, u: 2, r: 4, o: 4, w: 2}. Give prob of picking 2 o and 1 u. 12/455 Calculate prob of picking 3 d when three letters picked without replacement from {m: 7, n: 1, d: 6}. 5/91 Calculate prob of picking 1 s, 2 r, and 1 z when four letters picked without replacement from {z: 2, y: 1, m: 1, s: 2, j: 1, r: 2}. 2/63 Two letters picked without replacement from {j: 4, o: 7, y: 2}. Give prob of picking 2 j. 1/13 What is prob of picking 1 f and 2 i when three letters picked without replacement from iggipififgiffip? 12/91 Two letters picked without replacement from {b: 3, q: 1, d: 2, c: 1, v: 5, s: 1}. What is prob of picking 1 d and 1 b? 1/13 Two letters picked without replacement from {g: 2, k: 1, y: 1, t: 3, w: 4, n: 4}. Give prob of picking 2 t. 1/35 Three letters picked without replacement from odztzooodzt. What is prob of picking 1 t and 2 o? 4/55 Calculate prob of picking 1 k and 1 r when two letters picked without replacement from kjoooordo. 1/36 Four letters picked without replacement from kxzqqfzk. What is prob of picking 2 k and 2 z? 1/70 What is prob of picking 1 d and 3 e when four letters picked without replacement from jdjhzzejzdjjd? 0 Calculate prob of picking 3 w when three letters picked without replacement from {w: 3, a: 5}. 1/56 Three letters picked without replacement from ioiimxiiixmiomiiixo. Give prob of picking 1 i, 1 o, and 1 m. 30/323 Two letters picked without replacement from djddjj. What is prob of picking 2 j? 1/5 Calculate prob of picking 2 b when two letters picked without replacement from btbbbbttbbttbttbtbtt. 9/38 Two letters picked without replacement from {l: 1, m: 14, q: 2, h: 1, p: 1}. Give prob of picking 1 l and 1 m. 14/171 Four letters picked without replacement from {f: 5, s: 2}. Give prob of picking 1 s and 3 f. 4/7 Three letters picked without replacement from {q: 1, v: 3, p: 2, c: 4, z: 2, j: 2}. What is prob of picking 1 q and 2 z? 1/364 Calculate prob of picking 2 y when two letters picked without replacement from rybbybbby. 1/12 Three letters picked without replacement from {a: 10, r: 1, t: 1, d: 2, h: 3}. What is prob of picking 1 h, 1 a, and 1 t? 3/68 Two letters picked without replacement from llkbebkkbk. What is prob of picking 1 k and 1 e? 4/45 Two letters picked without replacement from bpbbbbp. Give prob of picking 1 p and 1 b. 10/21 Three letters picked without replacement from {p: 7, s: 2}. Give prob of picking 2 s and 1 p. 1/12 Calculate prob of picking 1 r and 1 x when two letters picked without replacement from {x: 1, r: 3}. 1/2 Three letters picked without replacement from pozpogpgpc. What is prob of picking 2 o and 1 g? 1/60 What is prob of picking 3 o when three letters picked without replacement from auouaooaoooooooouaou? 11/57 Two letters picked without replacement from {l: 2, o: 2, g: 3, b: 1, a: 2, e: 2}. What is prob of picking 1 e and 1 o? 2/33 What is prob of picking 1 a, 1 i, 1 m, and 1 e when four letters picked without replacement from ennainiatamaa? 2/143 What is prob of picking 2 t when two letters picked without replacement from {t: 7}? 1 Three letters picked without replacement from {h: 4, r: 5, b: 10}. Give prob of picking 1 h, 1 r, and 1 b. 200/969 Calculate prob of picking 3 x when three letters picked without replacement from {w: 4, x: 6, a: 1}. 4/33 Two letters picked without replacement from srsrrrreferrrrrrrf. Give prob of picking 1 s and 1 r. 8/51 Three letters picked without replacement from mvvmvvm. Give prob of picking 2 m and 1 v. 12/35 What is prob of picking 1 u and 1 n when two letters picked without replacement from {n: 7, q: 1, u: 9, y: 1}? 7/17 What is prob of picking 1 l and 1 v when two letters picked without replacement from vlsvlvlvvsvvvlvv? 1/3 Calculate prob of picking 1 l and 1 f when two letters picked without replacement from {o: 4, f: 1, y: 1, l: 4}. 4/45 What is prob of picking 1 q and 2 k when three letters picked without replacement from qqoaaqakkk? 3/40 Calculate prob of picking 1 m and 3 w when four letters picked without replacement from wwwmmmwmwwmmw. 42/143 What is prob of picking 1 v, 1 c, and 1 x when three letters picked without replacement from vvxocno? 2/35 What is prob of picking 1 j and 1 h when two letters picked without replacement from zkzhhzhhhmzjkmmhhzh? 8/171 What is prob of picking 1 u and 1 q when two letters picked without replacement from {q: 8, u: 3}? 24/55 What is prob of picking 1 t and 3 g when four letters picked without replacement from fnffgfgnfgttfnfin? 1/1190 Calculate prob of picking 1 i and 1 c when two letters picked without replacement from uaaaaiadauauuuucauaa. 1/190 Two letters picked without replacement from {c: 5, l: 3}. What is prob of picking 2 l? 3/28 What is prob of picking 1 b and 1 m when two letters picked without replacement from {n: 3, m: 2, b: 8, d: 4}? 2/17 What is prob of picking 2 f and 1 x when three letters picked without replacement from qqqxfqxfqxfxqqqfq? 3/85 Two letters picked without replacement from kkuukjnkknnj. What is prob of picking 2 k? 5/33 Calculate prob of picking 1 b and 1 h when two letters picked without replacement from amuhhfaub. 1/18 What is prob of
{ "pile_set_name": "DM Mathematics" }
3/2 Calculate 1/2*28*6/(-12). -7 Calculate 1*48/60*(-10)/(-4). 2 What is the value of (0/(-3))/(3/(3/2))? 0 What is the value of (((-9)/2)/(-3))/((-486)/72)? -2/9 Evaluate (-56)/(-35)*10/4. 4 What is the value of (8/51)/((-168)/(-126))? 2/17 Calculate 2/2*-6*(-4)/(-8). -3 Evaluate 5/(-2)*1680/700. -6 Evaluate (-6)/2*(-34)/(-68). -3/2 What is the value of (2/66*-2)/((-4)/18)? 3/11 Evaluate ((-10)/125)/(3/45). -6/5 What is the value of 21/28*(-12)/(-3)? 3 5/(-70)*-8*2/8 1/7 Calculate (27/(-81))/((-1)/(-3)). -1 What is -2*((-48)/(-6))/(-48)? 1/3 Evaluate 2/(-4)*(-8)/(-4). -1 What is the value of 144/(-64)*(-24)/(-9)? -6 0/((8/14)/(98/343)) 0 What is the value of (((-6)/12)/((-1)/(-12)))/(-4)? 3/2 What is (1/(-21))/((-62)/217)? 1/6 Evaluate (2*(-15)/(-25))/(-2). -3/5 What is the value of ((-30)/27)/(6/(360/(-50)))? 4/3 What is the value of (-5)/4*304/(-190)? 2 Calculate (2/(-2))/((-9)/(-9)). -1 What is the value of 1/(-3)*(-69)/46? 1/2 Calculate ((-2)/((-24)/9))/((-90)/80). -2/3 Calculate ((-81)/72)/9*-2. 1/4 What is the value of ((-5)/((-50)/12))/((-72)/240)? -4 (2/10)/((-6)/(-18)) 3/5 Evaluate 2*(2/6)/1. 2/3 Evaluate 1/3*(-1)/1*-3. 1 What is the value of (-1*0/5)/(-4)? 0 Evaluate (-10)/(-5)*15/(-6). -5 What is 0/((-9)/(-3))*(-20)/(-20)? 0 Calculate (0/((-16)/((-56)/(-7))))/(-2). 0 Calculate 6*6/108*(-3)/(-7). 1/7 Calculate -4*(-5)/40*6. 3 Calculate (64/16)/((-4)/(-3)). 3 What is (-4)/(-7)*42/84? 2/7 -2*9*(-2)/(-12) -3 9/9*1/((-9)/(-3)) 1/3 What is the value of ((11/(-110))/(6/(-15)))/1? 1/4 Calculate (1/16)/((-1)/((-18)/(-3))). -3/8 3/((6/(-15))/(4/(-6))) 5 Calculate ((-1)/(-9)*3)/(8/(-96)). -4 What is the value of ((-4)/4)/((-224)/96)? 3/7 Evaluate (((-56)/7)/(-4))/(-18)*2. -2/9 ((-945)/(-18))/(-15)*36/(-21) 6 Evaluate 2/1*(-3)/((-24)/2). 1/2 Calculate (0/13)/(2/2). 0 What is the value of 1/((7/14)/1)? 2 2*7/(-9)*(-2)/7 4/9 (70/(-350))/(1/(-20)) 4 What is the value of (42/63)/(3/(-27)*1)? -6 What is (-8*11/(-924))/((-6)/14)? -2/9 What is the value of 6/10*((-15)/(-9))/5? 1/5 Calculate 15/6*(-12)/75. -2/5 What is (-1)/(4*8/(-32))? 1 What is the value of ((-6)/(-10))/((-516)/(-215))? 1/4 10/25*25*(-2)/4 -5 What is the value of (-3)/(-2)*-4*10/60? -1 Calculate (-8)/(-40)*(-4)/((-4)/5). 1 What is (4/(-6))/(13/(117/24))? -1/4 What is the value of -1*((-32)/20)/8? 1/5 What is the value of (4/(20/1))/(92/40)? 2/23 (124/(-248))/((-1)/(-4)) -2 What is (-20)/(-30)*2/4? 1/3 ((-3)/10)/((-6)/(-5)) -1/4 ((-2)/15)/((-61)/61) 2/15 Evaluate (126/210)/(-2*(-1)/(-5)). -3/2 Calculate (-1)/((-2)/(-1))*(-16)/(-10). -4/5 (2/((-13)/(-13)))/((-20)/(-6)) 3/5 What is (-30)/(-490)*(-98)/(-63)? 2/21 Calculate 2*(-2)/((-96)/30). 5/4 Calculate (13/(-52))/(((-10)/24)/(-5)). -3 What is ((-24)/8)/(-6)*6? 3 Calculate (4/(-8))/((-21)/336). 8 What is (-171)/(-38)*(-2)/(-6)? 3/2 Calculate 5/6*4/(-10)*6. -2 Evaluate 24/(-14)*2/(-6). 4/7 (-8)/18*(-588)/784 1/3 What is the value of (-1)/(-4)*36/72? 1/8 ((-12)/(-12))/((-2)/10) -5 What is (1*(-1)/3)/((-22)/(-66))? -1 Calculate 11/(-11)*(-6)/(-2). -3 What is the value of ((-8)/(-8))/((-6)/(-12))? 2 What is ((81/6)/(-9))/(45/(-12))? 2/5 Calculate 12/(-9)*(8/(-8))/(-6). -2/9 3/(-9)*(-8)/(-160)*15 -1/4 Calculate ((459/340)/27)/((-2)/(-8)). 1/5 Evaluate ((4/1)/4)/1. 1 Evaluate 13*(-6)/(-936)*-9. -3/4 Evaluate ((-5)/((-10)/4))/(-6). -1/3 3*1*(-6)/30 -3/5 What is 3/(-75)*3*-5? 3/5 Calculate ((-18)/(-27))/(8/(-6)). -1/2 What is the value of (13/(39/12))/(-1)? -4 Calculate 1/1*6/(-6)*2. -2 ((-2)/(-16))/((-1)/(30/(-10))) 3/8 What is the value of ((-6)/(-120))/(9/(-24))? -2/15 Evaluate (15/(-18))/(110/198). -3/2 What is (660/(-550))/(6/(-4))? 4/5 Calculate 0*(27/(-6))/(-9). 0 Calculate ((-78)/65)/((-3)/10). 4 ((-3)/(18/8))/((-16)/(-132)) -11 What is the value of (-4)/((-55)/(-33)*(-4)/(-10))? -6 What is 12/(-20)*(-75)/315? 1/7 Calculate (-1)/(-4)*180/(-315). -1/7 Calculate (1/15)/((-1)/(-2)). 2/15 Evaluate ((-6)/15)/(7/((-105)/18)). 1/3 Calculate 8/2*(14/(-16))/7. -1/2 Evaluate (-2)/15*-6*35/(-140). -1/5 Evaluate (7/567*6)/(2/6). 2/9 What is the value of (4/2)/(4*(-1)/2)? -1 (13/((-13)/(-2)))/(1/(-2)) -4 What is -35*(-10)/50*8/14? 4 Calculate 56/(-48)*16/28*3. -2 What is the value of ((-4)/(-30))/((-8)/10)? -1/6 Calculate (474/395)/((-2)/10). -6 What is the value of -1*-3*(-4)/12? -1 What is (9/(27/(-6)))/(-4)? 1/2 Evaluate ((-20)/(-100))/(2/2). 1/5 What is 9/9*-1*-1? 1 What is the value of (12*(-5)/(-50))/((-12)/(-40))? 4 Evaluate (6/(-12))/((6/(-3))/(-8)). -2 Evaluate (-32)/36*(-1)/4. 2/9 Evaluate 4/(1/((44/24)/11)). 2/3 What is (-99)/(-66)*4/(-6)? -1 What is the value of ((-110)/(-44))/(6/(-12))? -5 What is the value of (4*(-3)/(-48))/(2/16)? 2 What is the value of (-90)/(-15)*8/(-12)? -4 What is ((-6)/(144/4))/((-1)/(-4))? -2/3 Calculate (1/(1/(-1)))/(2/2). -1 What is (-3)/((-36)/4)*24/1? 8 What is ((-216)/378)/(((-30)/63)/1)? 6/5 Evaluate (-2*(-3)/(-6))/((-45)/18). 2/5 Evaluate (-72)/48*16/42. -4/7 Evaluate (-48*1)/(-4)*(-1)/3. -4 ((-1)/75)/((-3)/(-18)) -2/25 Calculate (1/(-1))/((-78)/312). 4 What is -12*(-8)/(168/7)? 4 What is (0/1)/((-357)/51)? 0 What is (-6)/(3*-4*(-4)/24)? -3 Evaluate ((-63)/(-6))/((-168)/(-96)). 6 (63/(-42))/((-21)/140) 10 Calculate ((-5)/10)/(8/(-32)). 2 Calculate 2/((2/(-12))/(1/3)). -4 What is the value of ((-30)/(-20))/(-1*6/(-16))? 4 What is the value of (4/6)/((80/36)/10)? 3 What is ((-15)/(-20)*-1)/(66/(-16))? 2/11 Evaluate (((-12)/(-5))/(-6))/((-9)/(-15)). -2/3 What is ((-20)/125)/(-1*(-2)/(-1))? 2/25 (((-15)/(-2))/(-3))/((-3)/(-6)) -5 Evaluate ((-1870)/2057)/(2/(-11)). 5 What is ((-27)/90)/(-6*(-3)/(-24))? 2/5 ((-24)/6)/(-12)*(-6)/(-14) 1/7 What is the value of 1*5*7/(-28)? -5/4 Evaluate (32/48)/((10/3)/(-2)). -2/5 What is the value of (-4)/84*(-2)/(2/9)? 3/7 What is (1/3)/(34/306)? 3 What is ((-8)/4)/(8/16)? -4 Evaluate (2/5)/((-144)/360). -1 Calculate (-32)/(-1520)*(-5)/1. -2/19 Evaluate (21/(-7))/((-45)/(-15)). -1 What is -2*2*5/(-20)*1? 1 What is (((-616)/(-294))/(-22))/((-4)/18)? 3/7 What is the value of ((-72)/(-660)*-5)/(6/(-44))? 4 ((-250)/750)/(((-22)/(-4))/(-1)) 2/33 Calculate 5/(-2)*3/(225/12). -2/5 Calculate ((-2)/5)/(-5*5/(-125)). -2 Calculate (6/(-225))/(4/18)*5. -3/5 (-30)/(-9)*(-3)/(-45) 2/9 Evaluate 1*6*((-80)/(-12))/10. 4 21/(-105)*-5*5 5 -6*(-10)/(-1260)*-3 1/7 (24/(-28))/((80/35)/4) -3/2 What is ((-4)/3)/(14/21)? -2 Calculate ((-15)/65)/((-2)/(12/(-9))). -2/13 Evaluate ((-2)/(-12))/(((-15)/(-18))/5). 1 Evaluate (-2)/3*((-26)/4)/(-13). -1/3 What is the value of ((-2)/1)/(90/(-30))? 2/3 Evaluate ((-2)/(-13))/(3/78). 4 -6*(72/(-16))/(-9) -3 1*8/(-24)*0/(-2) 0 What is (4/16)/(9/216)? 6 What is 4*(-1)/(-12)*-2*-1? 2/3 Evaluate 1*1/1*(-8)/(-24). 1/3 What is ((264/320)/(-11))/(12/(-16))? 1/10 Calculate 7*-3*13/(1092/8). -2 What is ((-3)/((-81)/15))/((-60)/(-36))? 1/3 What is (18/18)/(3/(-15))? -5 What is (20/24)/(6/(-9))? -5/4 Evaluate (-18)/24*4/6*1. -1/2 Calculate (-9)/9*1*-8. 8 (-22)/77*-28*(-3)/(-8) 3 Evaluate (-4)/(-7)*(-12)/16. -3/7 Evaluate ((-26)/(-572))/((-2)/8). -2/11 What is the value of (-19)/19*(-3)/(-1)? -3 What is the value of 42/7*1*(-1)/3? -2 Evaluate (2/5*(-15)/(-24))/(-1). -1/4 (14/6)/(-7)*(-3)/3 1/3 3/2*(-60)/18 -5 (623/178)/((-1)/(-2)) 7 ((-6)/6)/(3*20/6) -1/10 (-1)/(((-4)/((-16)/6))/(-3)) 2 What is the value of (9/3)/(5/((-60)/18))? -2 What is 55/22*(-8)/5? -4 ((-22)/(-77))/((-8)/(-7)) 1/4 ((-8)/18)/((-20)/(-90)) -2 What is the value of 1/(-2)*1/(14/12)? -3/7 ((-6)/(-1))/6*0/(-5) 0 ((-54)/(-8))/(-1)*44/33 -9 What is (8/(-20))/((-3)/(60/(-92)))? -2/23 What is (-2)/(-10)*60/(-72)*1? -1/6 Evaluate (-25)/6*(-141)/470. 5/4 What is (4/(-56)*-8)/((-12)/(-42))? 2 Evaluate (-9)/((-243)/72)*-3. -8 Calculate 12/(-10)*(-20)/(-8). -3 8/240*4*1*5 2/3 What is the value of (-5)/(-3)*3/(-30)*-2? 1/3 What is the value of (8/3)/(204/612)? 8 ((-3)/15)/((-1)/15) 3 What is the value of (-1)/(-2)*6*28/(-28)? -3 ((-7)/(-21))/((-35)/15) -1/7 What is the value of 18/(-12)*8/12? -1 Evaluate (5/14)/((-485)/(-388)). 2/7 What is (-3*2/10)/((-12)/(-12))? -3/5 What is (-1)/((117/6)/13)? -2/3 3*((-1)/(-30))/(140/350) 1/4 What is the value of (-4)/6*(-2055)/274? 5 What is the value of (1/(9/(-72)))/(4/2)? -4 Evaluate ((-30)/(-4))/((-15)/(-10)). 5 Calculate (0/((-12)/6))/1. 0 Calculate ((-6)/6*-1)/((-36)/(-
{ "pile_set_name": "DM Mathematics" }
/8 + d**2. What is 33*k(v) - 2*l(v)? -3*v**2 Let l(u) = 4*u**3 + 16*u**2 + 5. Let h(c) = 8*c**3 + 31*c**2 + 9. What is -3*h(w) + 5*l(w)? -4*w**3 - 13*w**2 - 2 Let x(c) = -c**3 - c - 1. Let y(z) = -z**3 - 3*z**2 + 7*z + 9. Let b(i) = -5*x(i) - y(i). Let u(f) = -17*f**3 - 8*f**2 + 6*f + 11. Determine 11*b(g) + 4*u(g). -2*g**3 + g**2 + 2*g Let n(m) = 34*m**2. Let u(h) = -17*h**2. Calculate -4*n(d) - 7*u(d). -17*d**2 Let l(v) = -v + 14. Let c(b) = -6*b + 70. Let d(h) = 3*c(h) - 16*l(h). Let w(f) = -1. Give d(t) - 12*w(t). -2*t - 2 Let z be -6*(15/6 + -3). Let g(y) = 3*y**2 + 5*y + 1. Suppose 3*q + 3 = 18. Let n(u) = -2*u**2 - 3*u - 1. Determine q*n(l) + z*g(l). -l**2 - 2 Suppose 4*t - 4 = 4*j, t + 4*j - 2*j - 7 = 0. Let y(m) = -6*m - 5. Let s(v) = -3 - v - 2*v + 0*v. Calculate t*y(k) - 5*s(k). -3*k Let m(n) = -n**2 - n + 1. Let x(z) = -2*z**2 - 28*z + 4. Calculate -3*m(v) + x(v). v**2 - 25*v + 1 Let g(m) = 19*m**2 + 13*m + 13. Let j(b) be the second derivative of -1/3*b**3 + 0 + 2*b - b**2 - 1/4*b**4. Determine 6*g(s) + 39*j(s). -3*s**2 Suppose -2*s - 5 - 1 = 0. Let i(l) = l**3 + 3*l**2 + 3. Let v(n) = -n**3 - 4*n**2 - 4. Give s*v(z) - 4*i(z). -z**3 Let q(d) = d. Let t(m) = m. Suppose 0*n = -b + 4*n - 14, -2*b + 5*n = 16. Suppose s - c + 4*c = 8, -b = -c. What is s*q(f) - 3*t(f)? -f Let i(n) = 9*n**3 + 14*n**2 + 13*n - 13. Let r(v) = -4*v**3 - 7*v**2 - 6*v + 6. What is 6*i(a) + 13*r(a)? 2*a**3 - 7*a**2 Let q(j) = j**2 - 1. Suppose 2*y - 2*i = 12, 6*y - y - 24 = 2*i. Let r(s) = -7*s**2 + s + 4. Determine y*q(n) + r(n). -3*n**2 + n Let s(x) = x**2. Suppose -3*b + 7 = -2. Let u(i) = -i**b + 6*i**2 + 2*i**3 + 5*i**2 + 1 + i. Suppose -4*v = 3*p + p + 20, 5*v - 4*p = 2. Give v*u(t) + 22*s(t). -2*t**3 - 2*t - 2 Let j(v) be the second derivative of -v**4/4 + v**3/2 + 3*v**2/2 + 5*v. Let s(i) = -i**3 + 2*i**2 - 2*i - 2. Determine 2*j(x) + 3*s(x). -3*x**3 Let q(h) = -4*h**2 + 5*h**2 - 1 + 0. Suppose -6 + 20 = 2*i. Let a(f) = -1 + 5 + 1 - i*f**2. Give -a(n) - 5*q(n). 2*n**2 Let j(f) = -4*f**2 + 5*f - 2. Let p(i) = -i**2 - 1. Give j(v) - 3*p(v). -v**2 + 5*v + 1 Let o(p) = 2 - 2*p**2 + 5*p**2 - 3*p**2 + 4*p**2 + p**3. Let b(i) = i**3 + i**2. Determine 3*b(a) - o(a). 2*a**3 - a**2 - 2 Let l = -15 - -6. Let w = 7 + -3. Let i(v) = -v**2 - 1. Let z(x) = -4*x**2 - 15. Let j(s) = -6*i(s) + z(s). Let o(y) = y**2 - 4. Determine l*o(m) + w*j(m). -m**2 Let l(f) = 5*f - 2. Let c = 102 + -99. Let h(m) = 6*m - 2. Give c*h(s) - 4*l(s). -2*s + 2 Let s = -8 + 11. Suppose -4*m - 5 = 11, s*v - 4*m - 37 = 0. Let j(z) = -4*z - 6. Let i(x) = -x - 2. Calculate v*i(y) - 2*j(y). y - 2 Let u(v) = 16*v**2 + 7*v - 10. Let s(y) be the first derivative of -5*y**3/3 - y**2 + 3*y - 24. Determine 7*s(q) + 2*u(q). -3*q**2 + 1 Let h(g) = -27*g - 1. Let w(i) = 13*i. What is 2*h(u) + 5*w(u)? 11*u - 2 Let w(o) = -11*o - 11. Let s(f) = 17*f + 16. Let v(i) = -5*s(i) - 7*w(i). Let q(m) = 2*m + 1. Give 9*q(x) + 2*v(x). 2*x + 3 Let v(f) = -f**3 - 2*f**2 + 2*f + 2. Let t(y) = -y**3 - y**2 + y + 1. Give -2*t(k) + v(k). k**3 Let g(w) = w - 33. Let m(h) = -h + 17. Determine -4*g(b) - 7*m(b). 3*b + 13 Let r(t) = 3*t - 3. Suppose 3*y + 3*x - 12 = 0, x + 12 = y + 6*x. Let f(p) = 7*p - 7. Calculate y*f(m) - 5*r(m). -m + 1 Let w(r) be the third derivative of r**6/40 + r**5/12 + 5*r**4/24 + 17*r**2. Let b(k) = -k**3 - 2*k**2 - 2*k. Determine -5*b(c) - 2*w(c). -c**3 Let j(r) = 17*r**2 - 9*r - 15. Let z(b) = 9*b**2 - 5*b - 8. Give -3*j(k) + 5*z(k). -6*k**2 + 2*k + 5 Let y(n) = 5*n**2 + 4*n - 4. Let z(b) = 6*b**2 + 5*b - 5. Let i = 61 + -65. What is i*y(x) + 3*z(x)? -2*x**2 - x + 1 Let d(g) = -8*g**2 + 6*g + 3. Let h(v) = -7*v**2 + 5*v + 2. What is -5*d(x) + 6*h(x)? -2*x**2 - 3 Let n(l) = l**2 + l - 1. Let u(j) = 33*j**2 + 22*j - 22. Calculate 66*n(d) - 3*u(d). -33*d**2 Let o(w) = -w**3 - w**2 - w + 1. Let a(h) = 66*h**3 + 55*h**2 + 55*h - 55. What is -a(i) - 55*o(i)? -11*i**3 Let w(i) = 23*i + 1. Let x be ((-1)/(-2))/(2/12). Suppose -14 = -x*f + 4. Let s(c) = f*c - 5*c + c. Calculate -22*s(z) + 2*w(z). 2*z + 2 Let y(o) = o + 21. Let f(x) = -20. Calculate -3*f(k) - 2*y(k). -2*k + 18 Let d(y) = 13*y**2 - 2*y - 2. Let u(c) = 352*c**2 - 55*c - 55. What is -55*d(i) + 2*u(i)? -11*i**2 Let j(t) = -t**2 + 2*t. Let q(r) = -2*r**2 + 4*r. Suppose -2*b - u = -11, 0 = -b - 5*u + 3*u + 13. What is b*q(c) - 5*j(c)? -c**2 + 2*c Let x(u) = 4*u**3 + 3*u**2 + 3*u - 1. Let q(p) be the second derivative of 3*p**5/20 + p**4/6 + p**3/3 - 9*p. What is 3*q(b) - 2*x(b)? b**3 + 2 Let t(o) = -o**3 - 16*o**2 + o + 21. Let f be t(-16). Let j(i) = -i**2 - 2*i - 2. Let w(z) = -3*z**2 - 5*z - 5. Determine f*j(r) - 2*w(r). r**2 Let o(b) = 11*b**3 - 22*b**2 + 5*b - 9. Let j(t) = 6*t**3 - 11*t**2 + 3*t - 5. Calculate 5*j(u) - 3*o(u). -3*u**3 + 11*u**2 + 2 Let j(t) = -10*t**3 + 10*t**2 + 10*t + 16. Let g = -13 - -13. Let c be (g - 2)/((-5)/40). Let m(z) = -3*z**3 + 3*z**2 + 3*z + 5. Determine c*m(l) - 5*j(l). 2*l**3 - 2*l**2 - 2*l Let q(a) = 3*a**3 + 2*a + 1. Suppose -3*p - 3 = -0. Let r(z) = -z**3 - z. Calculate p*q(g) - 4*r(g). g**3 + 2*g - 1 Let x(o) = -6*o - 3. Let w(s) be the third derivative of -s**4/6 - s**3/3 + 9*s**2. Give -8*w(r) + 5*x(r). 2*r + 1 Let b(j) = 47*j**3 - 7*j - 10. Let o(c) = -31*c**3 + 5*c + 7. Give 5*b(t) + 7*o(t). 18*t**3 - 1 Let d(w) = -3*w**3 + 2*w**2 + 4*w. Let j(g) = -6*g**3 + 4*g**2 + 7*g. Give 7*d(o) - 4*j(o). 3*o**3 - 2*o**2 Let c(k) = -1 + 4 + 6 - 8. Let x(j) = 2*j - 3. What is -4*c(n) - x(n)? -2*n - 1 Let r(d) = -d**2 - d + 2. Let a(c) = -5*c**2 - 4*c + 8. Suppose 4*b = b + 6. Give b*a(z) - 9*r(z). -z**2 + z - 2 Let z(f) = 3*f**3 + 2*f. Let y(r) = r - 121*r**3 - 123*r**3 + 245*r**3. What is -2*y(n) + z(n)? n**3 Let s(g) = g**3 - g**2. Let m(z) = -2*z**3 + z**2 - 1. What is m(r) + s(r)? -r**3 - 1 Let n(c) = c**2 - c - 3. Let k = -8 - -16. Let x = k + -13. Let w be 2 + 6/(-3) + -2. Let g(f) = 1. What is w*n(t) + x*g(t)? -2*t**2 + 2*t + 1 Let v(i) = -2*i**2 + 3*i - 2. Let l be 120/(-36)*2/(-5). Let s(j) be the first derivative of -l*j**3 + 5/2*j**2 - 3*j + 1. What is -3*s(k) + 5*v(k)? 2*k**2 - 1 Let m(a) = 8*a + 5. Let l(d) = -d + 1. Let k(o) = -3*l(o) + m(o). Let b(q) = -4*q - 1. Determine 8*b(j) + 3*k(j). j - 2 Let x(k) = -k**3 - k**2 - 1. Let y(t) = 5*t**2 + 15*t - 8*t - 3*t**3 - 9*t + 6 + 5*t**3. Give 5*x(p) + y(p). -3*p**3 - 2*p + 1 Let w(v) = 8*v - 8. Suppose -d + 10 + 4 = 5*b, 2*b - 12 = -2*d. Let x(g) = 2*g - 2. Let f be 1 + (-8 - (1 - -1)). Calculate b*w(q) + f*x(q). -2*q + 2 Let l(y) be the first derivative of y**2 - 3*y + 1. Let r(x) = -2*x + 3. What is -6*l(g) - 5*r(g)? -2*g + 3 Let c be (0 + 5)*(-3 + 2). Let a(j) = -2*j**3 - 5*j**2 - 2*j + 5. Let r(q) = q**2 + q - 1. Calculate c*r(l) - a(l). 2*l**3 - 3*l Let l(m) = m**2 - 2*m + 1. Suppose 2*b = -0 + 4. Let j = -17 + 29. Let i(k) = -j + 2*k**2 + 13 - k**2. Calculate b*i(n) - l(n). n**2 + 2*n + 1 Let f(k) = 7*k + 10. Let w(m) = 6*m + 10. Determine 5*f(t) - 6*w(t). -t - 10 Let z(r) = r + 2. Suppose 6 = -g - 2*g. Let q(s) = -1. Determine g*q(n) - z(n). -n Let o(u) = u**3 - 5*u + 3. Let q(c) = 2*c**3 - 11*c + 5. Calculate 5*o(r) - 2*q(r). r**3 - 3*r + 5 Let d(l) be the second derivative of 3*l**5/20 - 2*l**3/3 - 2*l**2 + l. Let s(c) = 4*c**3 - 5*c - 5. Determine 5*d(i) - 4*s(i). -i**3 Let h(m) = -17*m**3 - 3*m**2 + m - 3. Let o(i) = 17*i**3 + 4*i**2 - 2*i + 4. Give -4*h(d) - 3*o(d). 17*d**3 + 2*d Let z(v) = -12*v - 6 + 6 - 7. Let t(o) = 4*o + 2. Give -7*t(a) - 2*z(a). -4*a Let y(p) = 2*p**2 + 2. Let t(b) = b**2 + 1. Let q(u) = 6*t(u) - 5*y(u). Suppose 4*f - f = -15. Let i = f - -8. Let d(n) = -n**2 - 1. What is i*q(z) - 14*d(z)? 2*z**2 + 2 Let j(d) = -60*d - 4. Let i(m) = -59*m - 5. Determine 4*i(z) - 5*j(z). 64*z Let m(p) = 2*p + 2. Let c(b) = -b + 4. Let f be c(7). Let i(u) = -2*u - 3. Calculate f*m(a) - 2*i(a). -2*a Let a be (-4)/(-6)*3/1. Let f(p) = 3*p**2 + a*p - 2 - p**2 + 4*p**3 - 3*p**3. Let r(x) = -3*x**3 - 4*x**2 - 5*x + 5. What is -5*f(j) - 2*r(j)? j**3 - 2*j**2 Let p(a) = a**2 + 7*a - 5. Let y be p(-8). Let d(o) be the first derivative of -o**3/3 + 3*o**2/2 + 3*o - 8. Let k(i) = 2*i + 2. What is y*k(f) - 2*d(f)? 2*f**2 Let u(b) = -4*b**2 - 3. Let y(l) = 5*l**2 + 4. Suppose -12 = -4*i - n, -2*n + 9 = 6*i - 3*i. What is i*y(x) + 4*u(x)? -x**2 Le
{ "pile_set_name": "DM Mathematics" }
15*g + 2*v - 226 = 10*g. Which is the second biggest value? (a) 17.8 (b) -2/3 (c) g (d) -1/3 a Let n = 18.3768 - 14.3768. Suppose -2*x - 3*j = j, 0 = -5*j. Let y(r) = r**3 + 2. Let z be y(x). Which is the smallest value? (a) -0.1 (b) z (c) n a Let x = 242 + -340. Let t = -1674/17 - x. Which is the second biggest value? (a) t (b) -4 (c) 0.5 a Suppose 4*j - 58 = -22. Suppose -4*t = -t - j. Suppose 3*i - 31 = t*y - 8*y, -4*i + 8 = 0. What is the second biggest value in y, -3, -2? -2 Let q = -924 - -921. Let r = -3.7 + -0.3. What is the third smallest value in r, -0.24, q? -0.24 Suppose -423*b = 2*h - 420*b + 2, 3*b + 5 = -5*h. What is the biggest value in -2/5, 0, 0.16, h, -4? 0.16 Let q = -611731/68 + 8996. What is the second smallest value in 2/7, q, -1? q Let a = 3 + 1. Suppose -9*f - 13*f + 176 = 0. Suppose n - 3*x - f + a = 0, 5 = x. What is the third biggest value in n, -4, 3? -4 Let a = -12.9 - -19. Let m = a + 0.9. Let y be 726/(-264) + 45/20. What is the second biggest value in y, 2/9, m? 2/9 Let c = -8 + 10. Let y = 154 - 172. Let b be 8 + 104/y + (-1 - 1). What is the second biggest value in c, -4, -5, b? b Let z = -47.07 - -0.07. Let t = z - -25. Let v = -21.9 - t. What is the smallest value in 5, -2, v? -2 Let c = 9.6 + -9.7. Let x = 39.5 + -39.5. What is the third smallest value in x, c, -0.5, 0.2? x Let t = 1905.9 - 1905. Which is the second smallest value? (a) -0.21 (b) t (c) 3 b Let s = -7.93 + 7.73. Which is the third smallest value? (a) 0 (b) s (c) -58 a Let p = -630976/5 - -126196. Let l = -27 + 9. Which is the second smallest value? (a) l (b) 0.3 (c) p (d) 0.1 d Let q be 85*(((-13)/(-26))/(290/(-24)))/(-3). What is the third smallest value in -0.3, q, -0.1? q Let t = 15659.5 - 15660. What is the fourth biggest value in -1.4, 0.3, -5, t? -5 Let d be 1/21*(-408)/(-170)*(-15)/(-4). What is the biggest value in 0.1, -8.68, d? d Let y = 209.1 - 197. Let n = y + -11.8. Let j(k) = k**3 - 6*k**2 + 2*k - 1. Let l be j(6). Which is the biggest value? (a) n (b) 3 (c) l c Let x(d) = d - 5. Let v be x(9). Let o = 70.448 + -76.248. What is the biggest value in v, o, -5? v Let f be (6/(-132))/(3/11). Let x(d) = 2*d + 8. Let b be x(6). Let h be b/24 - 2/4. What is the fourth biggest value in -3, f, h, -4? -4 Let i = 0.5 + -0.7. Let t = 0.1 - i. Let w = -369.8 + 370. What is the second smallest value in t, w, 4, 2/5? t Let o = -31.089 - -0.089. Let c = -30.964 - o. Let l = -0.464 - c. What is the second biggest value in 3, -2, 5, l? 3 Let i(s) = s**3 - 4*s**2 - 7*s - 1. Let x be i(6). Suppose x*t - 83 = 4. What is the fourth smallest value in t, 2, 4/7, 14? 14 Suppose -32 = 2*u - a, -4*a + 41 = -4*u - 23. What is the smallest value in 0.3, 5, u, -0.3? u Let i = 7 - 3. Let j = 0.00198 + 0.99802. Suppose -11 = -5*w + 4. Which is the fourth smallest value? (a) i (b) 1/6 (c) w (d) j a Let l = 20.76 + 1.24. Let g = 5 + 5. Suppose -2*b = 3*b - g. What is the second smallest value in 1, l, b? b Let q = 3460 + -3459. Let l = -8 + 8.5. What is the second biggest value in q, l, 3/8, 3/5? 3/5 Let p = 760615/8 - 94948. Let z = p - 129. Let m = 4 + -9. Which is the third smallest value? (a) z (b) -12 (c) m a Let q = -0.5 + 0.2. Let o be (-319)/77 + 5 + 176/56. What is the fourth smallest value in -0.2, q, -3, o? o Suppose 4*j = -j. Suppose -12 = 2*n - j*n. Let r = -3468 + 3467.9. What is the smallest value in -1/5, n, r? n Let h = -3.6 + 3.223. Let u = 39.377 + h. Which is the third smallest value? (a) 2 (b) u (c) -2/5 b Let f(l) = -l - 10. Let t be f(-13). Let b = -140 + 138. Let m be (2 - (-1)/b) + (-9 - -5). What is the second smallest value in 0.2, t, -3/7, m? -3/7 Let y be ((-14)/126)/(15/18). Let w be 2 + (20/(-45))/1*3. Which is the third biggest value? (a) y (b) w (c) 31 (d) -4/7 a Let x = 1.9922 - -0.0078. Let t be (8/20)/(2 + -1 + -3). Which is the third biggest value? (a) t (b) 6 (c) x (d) -1 a Let s = -0.3825 - 745.9175. Let b = 746 + s. What is the second biggest value in b, -2/3, -3/2? -2/3 Let q = -0.4 - -0.3. Let s = -1845 + 1842. What is the second smallest value in s, q, 0.3? q Let v = -277 + 277.3. What is the second smallest value in v, 112.8, -3, -0.4? -0.4 Let s be (-750)/216 - 15/20. Let h = -73/18 - s. Let n be 3/(-2)*4/(-60). Which is the second smallest value? (a) 3/7 (b) 2/7 (c) h (d) n c Let l = -35 - -38. Let q = -3.57 + -1.67. Let u = q - -1.24. What is the smallest value in -7/4, u, l? u Let x be 3/9 + (-3)/18. Let o be 3248/(-252) - (-104)/8. Which is the second biggest value? (a) -3/2 (b) o (c) 35 (d) x d Suppose 2*r + 2*f - 118 = -134, -2*f - 23 = -5*r. Which is the fourth smallest value? (a) r (b) -9 (c) -8/5 (d) -5/6 (e) -3 d Let j = -496 + 495.7. Which is the smallest value? (a) j (b) -25 (c) 1 b Let p = -471.304 - -473. Let u = p - 1.8. Let y = u - -0.504. What is the third smallest value in -1/3, y, -0.44? y Let q = 175.88 - 2.88. Let f = -172.5 + q. What is the third biggest value in f, -30, 5? -30 Let y = 1319.05 - 1277. Let a = 42 - y. Let b = -51 - -155/3. What is the second smallest value in a, b, 1/8? 1/8 Let g = -0.2039 + -0.0961. Let c = 667/3 - 222. What is the third smallest value in c, g, -1/3, -1? g Let d be 3/(-12) - 1/2. Let w = 5074.2 - 5073.7. What is the smallest value in 2/15, d, w, -1? -1 Let g = 581.9 - 557. Let p = -20.9 + g. Which is the second biggest value? (a) p (b) 1 (c) -0.8 b Let l be ((4 - 2)*(-2)/4)/(675951/(-1758)). What is the smallest value in -0.2, l, 7? -0.2 Let n = 28.929 - -0.071. Let s = -69 + 44. Let l = n + s. Which is the third biggest value? (a) l (b) -3/8 (c) 22 b Let i = 26 + -86. Let r = 52 + i. Let b = r - -7.95. What is the fourth biggest value in -4, -2/7, 1, b? -4 Let k = -43984 - -43985. Let u = -2.7 + 3. Which is the smallest value? (a) k (b) -2 (c) u b Suppose 2*w - 94 + 358 = 0. Let x = w + 128. Which is the third smallest value? (a) 0 (b) 4/5 (c) x b Let p be 1/(-18)*(-1236)/(-8). Let n = p - -13/12. Let r = 2792/9 - 310. Which is the biggest value? (a) r (b) 2/5 (c) n b Let g = -11.67 - -15.67. Which is the smallest value? (a) 2.57 (b) 0.3 (c) 2 (d) g b Let s = -39.88 + 40.28. What is the smallest value in -5, s, 6? -5 Let t = -2361 - -2363. Which is the biggest value? (a) 1 (b) t (c) 5 (d) -1 c Let x be (-2)/5 + 266/285. Let g = -43/60 - x. What is the second smallest value in 2, -3, 0.1, g? g Suppose -24*l + 20*l - 4 = 0. Let y = -64 + 65.1. Which is the second biggest value? (a) y (b) -0.5 (c) l (d) 3/7 d Let n = 0.4632 - 0.1632. Let o be 3 + 213/(-138)*2. What is the third biggest value in -1/8, o, n, -1/6? -1/8 Let k(j) = -103*j + 1657. Let o be k(16). Which is the third smallest value? (a) -1/16 (b) o (c) -1 b Let m = 333 + -481. Let k = -143 - m. What is the third biggest value in k, -1, 4? -1 Let z = 1030 + -1085.4. Which is the third smallest value? (a) -2/5 (b) -4 (c) z a Let t = 198.41 - 198.81. Let q = -2 + 5. Which is the fourth smallest value? (a) t (b) -2 (c) q (d) -0.6 c Let j = -99 - -46. Let r = j - -53.2. Let c = 40.4 - 40. What is the smallest value in 0.12, c, r? 0.12 Let u = 7.046 + 7.954. What is the third biggest value in -3, 1, 4/3, u? 1 Let l = -9940 - -9955. Which is the third biggest value? (a) l (b) -13 (c) -4/3 b Let z = -7741.96 - -7742. Which is the second biggest value? (a) 10 (b) z (c) 2/41 c Let s be (2 - 1 - 1)*(495/(-33))/(-60). What is the second biggest value in 4, s, -17, 145? 4 Let q = 0.24132 - 0.23932. Suppose 3*j - 8*j = -5. What is the biggest value in j, q, 0? j Let g be 2*(-2)/12*(12 + -6). Let k = -0.1 - -0.3. Let d be 3 - 6 - -6 - -1. Which is the third biggest value? (a) d (b) g (c) k b Let g be 8/(-22)*((-6)/4 + 1). Let o(s) = s**2 - 26*s + 45. Let z be o(24). Which is the fourth smallest value? (a) -0.2 (b) z (c) g (d) -2/5 c Let l = 51 - 128. Let h = 76.994 + l. Let z = h + -0.394. What is the second smallest value in z, -2/59, -3? z Let v be (814/(-3762) - 4/(-38))*-2. Which is the third biggest value? (a) v (b) -205 (c) 0.3 b Let p be 16/6 + (-1 - 1). Let u = -8485.9 - -8485. Let f = -857/7 + 122. Which is the third biggest value? (a) -0.5 (b) p (c) u (d) f a Let w be -9 + 4 + 3 + (0 - -1 -
{ "pile_set_name": "DM Mathematics" }
second smallest value? (a) -3 (b) -5 (c) 31 (d) -4226 b What is the fourth smallest value in -2/1395, -0.5, -2, 35427? 35427 What is the second smallest value in 12/6709, -4/7, 2, 0.02, 41? 12/6709 What is the biggest value in 10, -3, -1.6, 22.87, 3? 22.87 Which is the smallest value? (a) -4 (b) -1.22 (c) 0.1 (d) -22.35 d What is the third smallest value in 3/5, 2/7, -13.96, -66, -1? -1 Which is the third biggest value? (a) 0.3 (b) -1/201 (c) -15.2 (d) 0.5 (e) 5 (f) 6 (g) 2/7 d Which is the fourth smallest value? (a) 5/2 (b) -98 (c) -1525 (d) -4 a What is the fourth smallest value in -1/2, 11, 2/17, -3/2, -238, -0.41? -0.41 What is the biggest value in -2/11709445, -0.5, -12/5? -2/11709445 Which is the third smallest value? (a) -2/115 (b) 52 (c) -1057/2 (d) -0.2 a What is the second biggest value in 2, -6, 0.4, -3/31, 175? 2 What is the fourth biggest value in -39, -5, -0.4, -143, -4, -0.5, -0.51? -4 Which is the second biggest value? (a) 22 (b) -48 (c) -2/17 (d) 64 (e) -0.5 a What is the biggest value in -2, -6, 9115, -0.106? 9115 Which is the third biggest value? (a) 1/2 (b) 1910/3 (c) 2/3 (d) 1 (e) -156 c What is the smallest value in 2/279, 0.4, -39932? -39932 What is the sixth biggest value in 2/5, 2/3, -20, -1/7, 22/47, -1/2? -20 Which is the smallest value? (a) 223/4 (b) 5 (c) -2 (d) -1/5 (e) 2/17 (f) -2/9 (g) -29 g What is the sixth biggest value in 1/4, -0.3, 1.2308, 5/3, -5, -4, 2? -4 What is the second smallest value in -2, 90803, -439? -2 Which is the sixth biggest value? (a) -0.3 (b) -8313 (c) 0 (d) -0.2 (e) -7/6 (f) -2 b What is the fourth smallest value in 2/3, 3173, 3, -1, -0.03? 3 Which is the fourth biggest value? (a) 69092 (b) 2/13 (c) 0 (d) 1 c What is the biggest value in -43, 384, -2/13, -4, 1? 384 What is the second smallest value in 31, -3/7, -3, -0.5, 1.03, 1? -0.5 What is the second biggest value in 32783548, -1, 0.1? 0.1 What is the third biggest value in 1451, -255, -1.9, 2, 4, 2/5? 2 Which is the second biggest value? (a) 71 (b) -3 (c) 0.145475 (d) -1/10 c What is the third smallest value in -67, -32/39, -1.337? -32/39 Which is the second biggest value? (a) 3/709 (b) 0.03 (c) -1/3 (d) 1 b Which is the fourth biggest value? (a) 0 (b) -0.4 (c) 5 (d) 0.1 (e) -56717 b Which is the second biggest value? (a) 363 (b) -2/3 (c) -8/143 c What is the third biggest value in 3/4, 78263.5, -11? -11 What is the fourth biggest value in 10, -1/23, 152, -1.2, -12? -1.2 What is the third biggest value in 112, 2, -0.73, 4/11? 4/11 What is the fourth biggest value in 22.8, -2/7, -179, 4, 1, -3/5, -0.2? -0.2 What is the fifth smallest value in -4/3, -1/12, 0.3, 47979.8, 0? 47979.8 Which is the biggest value? (a) -13543 (b) -0.052 (c) 39/7 (d) 2 c Which is the second biggest value? (a) 1 (b) -1/3 (c) -0.3 (d) -27/2 (e) -965 (f) -0.5 c Which is the sixth biggest value? (a) -5/4 (b) 2 (c) -14 (d) -1/5 (e) -2 (f) -5 c What is the third smallest value in -0.14, -4, 3.7, 3, 1/5, -2/17, 2/89? -2/17 Which is the smallest value? (a) -2.0504642 (b) 5 (c) -11 c What is the second biggest value in -25, 5, -2/17, -5, -56, -0.06, -4? -0.06 Which is the third biggest value? (a) -3.2 (b) -1 (c) -5381/11 (d) -27 d Which is the third smallest value? (a) -5 (b) -34455 (c) 5 (d) 2/43 (e) -0.6 (f) 0 e What is the fifth smallest value in 20, -3, 10/169, -115, -3/7, 3/7? 3/7 Which is the third smallest value? (a) 64 (b) -1/70186 (c) -8 a What is the biggest value in -0.2171493, 0.3, -4? 0.3 Which is the fourth smallest value? (a) -3/4 (b) -0.2 (c) 2 (d) 1/17143 (e) 0.3 (f) 1 e Which is the second biggest value? (a) -567.4 (b) 2/5 (c) -3680 a What is the third biggest value in 12097/9, -0.3, 1? -0.3 What is the second biggest value in 7, -2, 2/49, 0.35, -1, -4, 174? 7 What is the third biggest value in -2/379, 1/2, -9, 3, -1/6, 3/4, -5? 1/2 What is the third biggest value in 0.3, -3, 4, -1305, -0.9, -0.7, -1? -0.7 What is the third smallest value in 23, -1330, 2/19? 23 What is the second smallest value in -2/93, 13/3, -1, 2/7, -5, 0.8? -1 Which is the sixth biggest value? (a) 0.2 (b) -10 (c) 2/7 (d) -0.73 (e) -4 (f) -218 (g) -2/13 b Which is the biggest value? (a) -2 (b) 64/11 (c) 0.0634 b What is the third biggest value in -0.086, -11/26, 7/111? -11/26 What is the fifth smallest value in 0, 7, -108, -4, -4/3, -0.1, -1? -0.1 Which is the second biggest value? (a) 3/2 (b) -2/5 (c) 7 (d) -356 (e) 61 c Which is the third smallest value? (a) -2/7 (b) 27476/45 (c) -4 b Which is the fourth smallest value? (a) 1/3 (b) 12100 (c) 2/43 (d) -119 b What is the smallest value in -3/4, 6/5, 3/23, 14, -15? -15 What is the biggest value in 170722, -1/107, -1/6? 170722 What is the second smallest value in -0.0077, 4, 7609? 4 Which is the fourth biggest value? (a) 3/109 (b) -0.34 (c) -1 (d) 29 (e) 5 b Which is the third biggest value? (a) -0.19345 (b) -0.1614 (c) -2 (d) 2 a What is the second biggest value in -2, -0.4, -2/525, 4271? -2/525 What is the third biggest value in -3156, 0, -7? -3156 What is the biggest value in 1, -0.0419, -291347? 1 What is the third smallest value in 4711, -1/35, -2/7, 0? 0 Which is the third biggest value? (a) -0.3 (b) 2/5 (c) -0.1156 (d) -0.1695 d What is the fourth biggest value in -976, -56, -2/5, -20? -976 What is the second biggest value in 59, -5, 1/2, 0.0744? 1/2 Which is the smallest value? (a) 0.62 (b) 0.1 (c) -0.071 (d) -1/4 (e) 0 (f) -52 (g) 0.2 f Which is the fifth smallest value? (a) 4 (b) 2 (c) 2.898 (d) -2 (e) -365 a Which is the fifth biggest value? (a) -1/5 (b) 1 (c) 4 (d) 0.0116 (e) -1 (f) -3 (g) -40 e Which is the fifth biggest value? (a) -9 (b) -0.1 (c) -1 (d) 2 (e) -4/19 a Which is the smallest value? (a) -4 (b) -3/4 (c) -0.5 (d) -92002/7 (e) 27 (f) 0.2 d What is the fourth smallest value in 12448, -0.5, -6, 1/7, -3, 1/4? 1/7 Which is the biggest value? (a) 12 (b) 5 (c) -6/11 (d) 29822 d What is the smallest value in 1/10, -1, -5.5, -26, 23, -0.05, -2? -26 What is the second smallest value in 0.9, -1, -6/65, -3/4, 0.00172? -3/4 What is the fifth smallest value in 2.8, -31, 257, 1, -4, 6? 6 What is the biggest value in 1, 93, -10, 43/191? 93 What is the smallest value in -35, -0.41, 0.4, -8.7, -4, 0.1, -1/2? -35 Which is the fifth biggest value? (a) -2/531 (b) 1/31 (c) -1 (d) 5 (e) -0.373 c Which is the third smallest value? (a) 2/1413 (b) 2/7 (c) 1 (d) -14.9 (e) 1/3 b Which is the fifth biggest value? (a) 0.5 (b) -1 (c) 19 (d) -4 (e) 1581 (f) 46 b What is the second biggest value in 0.4, 0.32, 0.0514, -1, 2/13? 0.32 What is the third smallest value in -0.11, -285, 734.5, -3, -2/19? -0.11 What is the sixth biggest value in 0, 1/7, 1, 4, -3321, 3.17? -3321 Which is the third biggest value? (a) 50 (b) -0.2 (c) -0.58 (d) 4 (e) -1.2 b What is the third smallest value in -2, 17, 0.06, 297, 2/3? 2/3 Which is the fifth smallest value? (a) 0.04 (b) 5 (c) -5 (d) -8 (e) 27 (f) 178.5 (g) 4 b Which is the second biggest value? (a) -1 (b) 4 (c) -11834 a What is the fourth smallest value in -0.5, -0.76, 3, -2/3, 565, 2/7? 2/7 What is the fourth biggest value in 2, 5/2, 2/37, -787, -2? -2 Which is the sixth biggest value? (a) -0.5 (b) 1426 (c) 1 (d) -5 (e) 3 (f) 2/9 d Which is the third biggest value? (a) 33 (b) -171/5 (c) -11 (d) 1 c What is the biggest value in 2/3, 0.030135, -6/13, -3? 2/3 Which is the sixth smallest value? (a) -5 (b) 0.5 (c) -4 (d) -52 (e) -0.316 (f) -2 (g) -0.4 e Which is the fourth smallest value? (a) 36 (b) 0.52 (c) 0.2 (d) -29 (e) 14.5 (f) 3 f What is the third biggest value in 424, -186, -1.7, 0.1, -1? -1 Which is the biggest value? (a) 4 (b) 0.281 (c) -16 (d) -1 (e) 0.01 (f) -5 (g) -0.5 a What is the fifth smallest value in 5, 4, -709, 8/9, 0.4? 5 Which is the third smallest value? (a) 19 (b) -3 (c) 3 (d) -0.6 (e) 0.4 (f) 4 (g) -1 d Which is the third biggest value? (a) -67 (b) 9/31 (c) -1.1 (d) -4 (e) -0.5 c What is the third biggest value in 656638, -29, 1? -29 What is the second smallest value in 2, 838456.7, 0.24? 2 What is the third biggest value in -0.6126, -1/
{ "pile_set_name": "DM Mathematics" }
p**(1/3)*p**(2/3))**50)**(-49))**(3/11) assuming p is positive. p**(-7350/11) Simplify (o/(o**(-1/2)*o)*o*o*o*o/(o*(o/o**(-1/2)*o)/o)*o*o*o*(o/(o**(-2/3)*o))/o*o**8)/(o/(o**10*o*o)*o*o*o**(10/7)/o)**7 assuming o is positive. o**(218/3) Simplify (a**7*a*a*a/(a/a**3))**(-5/12)*(a**(-2/3)*a*a*a**(7/5))**(-4) assuming a is positive. a**(-239/15) Simplify ((l**(-2/3)*l**(1/15)/l)/((l/(l/(l/l**2)))/l)**35)/((l/(l*(l**4/l)/l))/l*l/((l/l**4)/l)*(l**1)**(-24/7)) assuming l is positive. l**(2444/35) Simplify d*d**(-1/11)*d*d*d**(-36)/d*((d/(d/d**6))/d)**(-48) assuming d is positive. d**(-3015/11) Simplify (m/((m/((m/(m/m**1))/m*m))/m))/(m/(m*m**(-4/9)))*m*(m*m*m**(3/8)*m)/m*m**5*m*(m/m**0)**(-6/29)*m**(-1/10)/m*m*m/(m/m**(-1/7)) assuming m is positive. m**(765937/73080) Simplify (((h**(2/3)/h)**(-32/7)*h**(1/8)/(h*h**(-6/7)))**(-10/3))**(-19) assuming h is positive. h**(24035/252) Simplify ((((b*b**(1/9))/b)/(b**(-2)*b)*b/(b/(b**(-3/2)/b)*b)*b*b**(-5))**(19/2))**(-17) assuming b is positive. b**(37145/36) Simplify (((g**1)**24*(g/g**7)/g**(4/3))**42)**(-1/5) assuming g is positive. g**(-140) Simplify (j/j**(1/4))/j**(-6)*(j*j/(j/j**(-1/4)))**41*((j/j**(-1/2))/((j/j**(-1/3))/j))/(j**(-1/3)*j*j*j/j**(-1)) assuming j is positive. j**35 Simplify ((n*n/(n/(n/(n**(-7/5)*n))))/(n*n**(-3)*n)*n/((n/((n/n**(-7))/n))/n)*n*n**(-1/10))/((n/(n*n**(-6)))/n**(-3))**(1/3) assuming n is positive. n**(93/10) Simplify (x**(-8)/x**(-3/11)*(x*x**(6/13))/(x*x*x**(-10)))**(-22) assuming x is positive. x**(-496/13) Simplify (c**(-7)*c**(-2/15)*c*c*(c/(c*(c*c**(-19))/c))/c**2)**46 assuming c is positive. c**(8188/15) Simplify (d**(-2)/d*d**1)/(d**(-16/5))**41 assuming d is positive. d**(646/5) Simplify m**20*m*m**(-31)*(m*m*(m*m*m*m**(-3/43)*m*m)/m)**7 assuming m is positive. m**(1355/43) Simplify ((j**(-2/13)/j)/j**(-2/7))/((j*j/j**(-1/6)*j)/j*j*j**(-3/2))*((j**5/j)/(((j**0/j)/j)/j*j))**(-43) assuming j is positive. j**(-71126/273) Simplify (b*b**15*b*b*b*b**(-12)/b*(b/b**(3/2))/(b/(b**(-2/23)*b)*b))**16 assuming b is positive. b**(1624/23) Simplify (c**(4/9)/c**(1/2)*(((c**(-2/21)*c*c)/c)/c)/(c/c**(1/3)))/((c*c**0)/c*c/(c/(c/c**(5/3)))*c*(c*c*c**1)**(-20)) assuming c is positive. c**(7415/126) Simplify (((((o/(o*o**(1/17)/o)*o)/o*o)**(-1/33))**(-33))**17)**(-1/6) assuming o is positive. o**(-11/2) Simplify ((y/y**(2/7))**(-24)*y**7/(y/((y**(-6)*y)/y)))/(y/(y/y**3)*y**(1/5))**(2/13) assuming y is positive. y**(-8024/455) Simplify ((u*u*(u*u*u**1*u)/u)**(-37))**(-1)/(u**(2/11)*u*u*u*(u**(4/3)/u)/u)**(-13/2) assuming u is positive. u**(13289/66) Simplify ((m*(m/(m**1/m*m*m))/m)**(3/19)/(m**(-22)*m/(m/m**(-10))*m))**(2/33) assuming m is positive. m**(1172/627) Simplify (m**1/m)**(-46)*m*(m/(m/m**(-2)))/m*m**(2/15)*m*m**(-3)*m*m**5*m**4/m**(1/4) assuming m is positive. m**(353/60) Simplify (x*x**(-2/17))/(x*(x*x**(-3/10))/x)*(x**(12/11)*x*x)**23 assuming x is positive. x**(133281/1870) Simplify (z**(5/6)*z*z**(1/6))/(z**2/z**(-5))*(z*z**(1/7)*z**5)**(-1/40) assuming z is positive. z**(-1443/280) Simplify ((f*f/(f/((f*f**5)/f))*f*f*((f/(f*f*f*f**(4/15)))/f)/f*f)/(f*((f/f**1)/f)/f*f*f/((f*f**(6/5))/f)*f))**(-3/5) assuming f is positive. f**(-59/25) Simplify (q**(-3/4)*q*q**(1/12))/((q/(q*q**(-2/3)/q))/(q/q**8))*(q**(-1/4)/((q/(q*q**1))/q))**14 assuming q is positive. q**(97/6) Simplify (t*t**(1/10)*t/(t**2*t))**(-36)/((t**(3/4)/t**(1/7))/((t*t**(-1/2))/(t**(-4)*t))) assuming t is positive. t**(4941/140) Simplify ((s*s/s**25)/s)**(-7/12)*s**9*s**(2/133) assuming s is positive. s**(3061/133) Simplify ((g*g/((g/(g*(g**(-2/11)*g)/g)*g)/g))/g**7)/(g**1)**(8/5)*((g*((g/g**(-7))/g)/g)/(g*g**6))**(9/10) assuming g is positive. g**(-373/55) Simplify (h**(-1)/h)**(3/14)*(h*h/(h*h*h/h**(-2/3)*h*h*h))/h**(-4)*((h*h*h/(h**(2/7)*h))**(-2/3))**(-29) assuming h is positive. h**(673/21) Simplify (c**(3/5)*c/((c**(2/3)/c)/c))**(-39)*((c**(1/2)/c)/c)**(-20/11)/((c/c**(-8)*c*c)/c**(-2/11)) assuming c is positive. c**(-6757/55) Simplify k**(1/5)/k*k**(-4)*(k*k**(-1))/(k/k**4)*((k*k**(2/11))/k*k*k**1*k)**30 assuming k is positive. k**(5151/55) Simplify (l**(2/5)*l)**40*(l**(-7)/l)/l*l*l*l*l**5*l*l*l*(l*l*l**7*l**(-1/4))/((l/(l/(l/(l*l/(l*l/(l**(5/4)*l)*l*l)))))/l**(-5)) assuming l is positive. l**61 Simplify ((w/(w*w*w*((w/w**(2/19))/w)/w*w))**(-4/5)/(w*(w/(w*(w/(w*w**3/w))/w))/w)**27)**(-47) assuming w is positive. w**(354897/95) Simplify ((v/v**(1/2))**(-2/69))**(2/23)/(v**(-1/2)*v**(1/3))**(-1/47) assuming v is positive. v**(-239/49726) Simplify ((p*((p**(-2/5)*p)/p)/p)**22*(p**0)**(5/3))/(p/(p/(p*p*p**(2/17)))*p/(p*p**(4/11))*p)**(1/36) assuming p is positive. p**(-298783/33660) Simplify ((l**(-2)/l*l*l**(1/13))/(l**(2/5))**(-19/3))/((l**0)**(10/11)/(l**(-1/2)*l*l**(-6))) assuming l is positive. l**(-1907/390) Simplify ((((u**(-1/4)*u)/(u/(u**(-7)*u*u)))/(u**(-6)/(u*u**5)))**(-2/15))**4 assuming u is positive. u**(-18/5) Simplify h**(-1)*h**(-7)/h*(h**0)**(1/67)*((h*h**2)**(1/20))**(5/6) assuming h is positive. h**(-71/8) Simplify ((u**(-8)*u*u**9*u**(2/13)/(u*u*u/(u**(3/7)/u)*u*u))**41)**(-34) assuming u is positive. u**(433534/91) Simplify (((h*h*h**(-3))/h)/h**7)/(h**(-1)*h**(2/3)*h)*(h*h*h/h**(-2/9))**(-22)*h**(-3)*h**(-5) assuming h is positive. h**(-797/9) Simplify (z**(2/17)/(z/(z**(-5/4)/z))*(z*z**(-1))**(-4/7))/((z**(2/15)*z)/z**(2/9))**(-26) assuming z is positive. z**(62903/3060) Simplify (g/((g*(g/(g**(-4)/g))/g)/g)*g**0)**39*g**(-1)*g**(-2/5)*g*(g**7*g)/g*(g**(2/9)*g)/g*g assuming g is positive. g**(-6668/45) Simplify ((m**(-1))**(-24/5)*(m**(-1))**(23/3))/((m**(2/7))**(-34)/(((m*m*m**(-3)*m)/m)/(m**(-4)*m))) assuming m is positive. m**(929/105) Simplify ((r**(-5/3)/(r/(r*(r*r**(-1/8))/r)))/(r**(-2/3)*r**(1/2)))/(r/(r/(r**(-1/2)/r))*r*r**3*((r/r**(-2/7))/r)/((r**(-3/5)*r*r*r)/r)) assuming r is positive. r**(-843/280) Simplify (s**(-10)/(s*s*s*s**(-2/19)*s))**(6/7)/(s/(s**(1/6)*s)*s**(-2/17))**(2/25) assuming s is positive. s**(-2015743/169575) Simplify (((d*d**(-5))/(d**(-1)*d))/(d**(-1/2)/d**5))/((d*(d*d**(-1)/d*d)/d)**(-3/17)/((d/d**(-1/9))/d*d**(3/8))) assuming d is positive. d**(143/72) Simplify ((((a*a*a/(a**(-3/8)/a))/a**6)/(a**0/a**(1/2)))**(-32/3))**(1/33) assuming a is positive. a**(4/11) Simplify ((f**(1/5)/f*f**(-11/4))/((f*f/f**(4/13)*f)/(f*f*f**1*f)))**(-1/10) assuming f is positive. f**(583/2600) Simplify (o**3/o*o**(-4/5))**(-8/13)*((o/(o/(o/o**(2/21))))**(2/19))**(-3/16) assuming o is positive. o**(-2753/3640) Simplify (i*i**(-1/7)*i*i**(-1/2))**1/((i**(2/5))**(-35)*(i**(-1/3))**(-32)) assuming i is positive. i**(197/42) Simplify (((f*f/f**(-1/4))/f*f)**(5/4)/(f**(-6)/(f*(f*f**4*f*f)/f)))/(f**(-1/6)/f*f**(1/7))**(2/3) assuming f is positive. f**(16627/1008) Simplify (((w**(2/15)/(w/(w/(w/(w**(-3/7)/w)*w*w))))**(-8))**(-8))**(4/29) assuming w is positive. w**(-115456/3045) Simplify (((k/(k*k/(k/(k/(((k*((k/(k**(-6)/k)*k)/k)/k)/k)/k)))))/k)**(3/5)/(k**6*k*k*k)**(-16/5))**(1/31) assuming k is positive. k**(156/155) Simplify u**3*u*u**(2/3)*u**(2/9)*u/(u/(u**(1/3)*u*u))*u*(u**(-3)*u/((u*u/(u**(-6/7)*u*u))/u))/(u**(-6)/u*u*u*(u*u*u**0)/u) assuming u is positive. u**(653/63) Simplify (((q*q**(4/7))/q**(-2/5))/((q/(q*q/q**2))/q)**(-5/2))/((q/q**(-2/5)*q*(q*(q*q**(-8/3)*q)/q*q)/q)/((q**(-8)/q*q)/(q*q**(1/3)))) assuming q is positive. q**(-191/21) Simplify (((b*b/b**(-1))/b)/b*b**(-3)*b**(-1/6)/(b*b*b*b**(-2/11)*b*b))/(((b*b**0)/(b**(2/15)*b))/((b**2*b)/b**(-1))) assuming b is positive. b**(-941/330) Simplify ((t*t*t**(-3/4)*t/(t*t*t*t**(5/2)))/(t**(-5/3))**(-1))**(-17/6) assuming t is positive. t**(1003/72) Simplify ((f**2/(f/(f**(-30)/f)*f))/((f/(f/(f*f**(-37))))/(f*(f/f**(-32))/f)))**(-5/11) assuming f is positive. f**(-190/11) Simplify (h**(5/2)/h**(2/13))**(-1/43)*(h*h*h/(h/h**(1/2))*h*h/(h*h**(-1/2)*h))**(-18) assuming h is positive. h**(-60433/1118) Simplify (((o**(-1))**(2/9)/(o**(-1/2)/o)**13)**(-41))**(4/5) assuming o is positive. o**(-28454/45) Simplify ((k/(k/k**(-2/9)))**(2/41)*k/k**7*(k/(k*k*k*k*k**(-4)*k))/k)/((k*(k*(k/(k/k**13*k))/k*k)/k)/(k**(-11)*k))**38 assuming k is positive. k**(-325093/369) Simplify (p**(-1))**(-1/35)*p**(2/19)*p**(1/8)*((p/(p*p**(2/15)))/(p/(p**4*p)))**(-9/8) assuming p is positive. p**(-4353/1064) Simplify (w**(1/6)/w**(-2/29))**5*(w/(w
{ "pile_set_name": "DM Mathematics" }
rs picked without replacement from kkmvkkkggmgkb. What is prob of picking 1 g and 3 k? 12/143 Calculate prob of picking 4 l when four letters picked without replacement from llflllfhh. 5/126 What is prob of picking 2 j and 1 c when three letters picked without replacement from twtdjjc? 1/35 Four letters picked without replacement from pappa. Give prob of picking 4 a. 0 Two letters picked without replacement from {h: 1, o: 2, m: 1, k: 2, b: 2, a: 1}. Give prob of picking 1 o and 1 a. 1/18 What is prob of picking 1 f, 1 p, and 1 m when three letters picked without replacement from {p: 1, m: 2, f: 2}? 2/5 Four letters picked without replacement from {p: 8, e: 5, h: 4, k: 2}. Give prob of picking 2 p and 2 k. 7/969 Two letters picked without replacement from {e: 12, d: 3}. Give prob of picking 1 d and 1 e. 12/35 Two letters picked without replacement from {x: 6, b: 2}. Give prob of picking 2 b. 1/28 Four letters picked without replacement from ccczzccc. Give prob of picking 3 c and 1 z. 4/7 Calculate prob of picking 1 j and 2 i when three letters picked without replacement from ppjpjjjjippppjji. 1/80 What is prob of picking 1 m, 1 x, and 1 l when three letters picked without replacement from {l: 3, y: 1, t: 2, a: 3, x: 1, m: 1}? 1/55 Two letters picked without replacement from tajtatttjttjjtaaja. Give prob of picking 1 a and 1 j. 25/153 Four letters picked without replacement from aacppappqapccqacaqqc. What is prob of picking 2 p, 1 a, and 1 q? 16/323 Calculate prob of picking 1 u, 1 j, and 1 n when three letters picked without replacement from {q: 1, j: 2, n: 2, u: 1, a: 6}. 1/55 What is prob of picking 1 a, 1 l, and 2 r when four letters picked without replacement from arlrr? 3/5 Two letters picked without replacement from gggggiigiggigg. Give prob of picking 2 g. 45/91 Calculate prob of picking 1 q, 1 c, and 1 d when three letters picked without replacement from {q: 2, e: 1, m: 2, d: 1, c: 2}. 1/14 Four letters picked without replacement from {u: 9}. What is prob of picking 4 u? 1 What is prob of picking 2 y when two letters picked without replacement from fygfysfff? 1/36 Four letters picked without replacement from uxumamm. What is prob of picking 1 u, 1 a, and 2 m? 6/35 What is prob of picking 1 a, 1 o, and 1 p when three letters picked without replacement from zzaoaxpazzmxppaxxap? 20/969 Two letters picked without replacement from nnqylnvnynnyvn. What is prob of picking 1 n and 1 y? 3/13 What is prob of picking 1 k and 1 q when two letters picked without replacement from {p: 2, v: 5, o: 1, q: 2, k: 2, m: 1}? 2/39 What is prob of picking 3 j and 1 f when four letters picked without replacement from {j: 7, u: 2, b: 1, f: 2}? 14/99 Three letters picked without replacement from jjj. Give prob of picking 3 j. 1 What is prob of picking 4 b when four letters picked without replacement from baabaaaybbybaa? 5/1001 Calculate prob of picking 3 w when three letters picked without replacement from wwww. 1 Two letters picked without replacement from wweppheewyw. What is prob of picking 2 p? 1/55 What is prob of picking 2 a when two letters picked without replacement from ykayyypgyaagg? 1/26 Calculate prob of picking 2 t when two letters picked without replacement from {t: 4, v: 3, x: 2}. 1/6 Calculate prob of picking 1 v, 1 e, and 1 u when three letters picked without replacement from ezapeuv. 2/35 Calculate prob of picking 1 f and 1 t when two letters picked without replacement from lftilfifiiflf. 5/78 What is prob of picking 2 z and 1 f when three letters picked without replacement from zzzzzzzzzffzfz? 165/364 Three letters picked without replacement from czzcicwefii. Give prob of picking 1 i, 1 w, and 1 f. 1/55 Calculate prob of picking 2 s when two letters picked without replacement from sslslssss. 7/12 What is prob of picking 2 x and 1 u when three letters picked without replacement from {f: 7, u: 2, x: 2}? 2/165 Four letters picked without replacement from {o: 6, x: 2, j: 1, c: 1, w: 5}. Give prob of picking 3 o and 1 j. 4/273 Calculate prob of picking 2 d, 1 z, and 1 q when four letters picked without replacement from bddkzbddzdkdqz. 45/1001 Three letters picked without replacement from fhhchccc. Give prob of picking 2 c and 1 f. 3/28 What is prob of picking 2 v and 1 u when three letters picked without replacement from {f: 1, u: 1, v: 2}? 1/4 Three letters picked without replacement from doeodssdodjdn. Give prob of picking 1 j, 1 e, and 1 o. 3/286 Three letters picked without replacement from qjejjjjljesqsswjjj. What is prob of picking 1 j, 1 s, and 1 l? 9/272 Calculate prob of picking 3 y when three letters picked without replacement from nnfffyyyynf. 4/165 What is prob of picking 2 t, 1 z, and 1 q when four letters picked without replacement from tezttqtze? 2/21 Three letters picked without replacement from {n: 3, y: 2, a: 3, c: 3, h: 1, g: 3}. Give prob of picking 1 a and 2 y. 3/455 Calculate prob of picking 2 c and 2 g when four letters picked without replacement from gggggccggggcggg. 66/455 Calculate prob of picking 1 g and 1 s when two letters picked without replacement from {u: 1, g: 2, b: 1, s: 3}. 2/7 Four letters picked without replacement from tttsjjts. What is prob of picking 1 j and 3 t? 4/35 Two letters picked without replacement from jzzzjjzjzz. What is prob of picking 1 z and 1 j? 8/15 What is prob of picking 3 p and 1 e when four letters picked without replacement from {p: 6, e: 2}? 4/7 Three letters picked without replacement from luchcehuceuk. What is prob of picking 2 u and 1 c? 9/220 Calculate prob of picking 1 t, 2 n, and 1 q when four letters picked without replacement from {t: 3, n: 3, q: 7}. 63/715 Calculate prob of picking 1 f and 1 y when two letters picked without replacement from ifyfffffsifiyei. 2/15 What is prob of picking 1 n, 2 j, and 1 q when four letters picked without replacement from ttttqtjnqqjtttjnqqtt? 2/323 Two letters picked without replacement from jthei. What is prob of picking 1 i and 1 t? 1/10 What is prob of picking 3 o when three letters picked without replacement from qooomzoqqqqzzq? 1/91 Calculate prob of picking 2 l when two letters picked without replacement from dlllldlll. 7/12 Two letters picked without replacement from rrrxrxzrrrrrrrrzx. What is prob of picking 2 r? 33/68 Two letters picked without replacement from caaq. What is prob of picking 1 a and 1 c? 1/3 What is prob of picking 1 s and 2 z when three letters picked without replacement from szszszzszzz? 28/55 Three letters picked without replacement from {a: 4, r: 2, v: 8}. What is prob of picking 2 r and 1 v? 2/91 Calculate prob of picking 1 s and 2 i when three letters picked without replacement from iiiiiiissiiiiiiiiiii. 51/190 Four letters picked without replacement from {s: 8, j: 4, t: 4}. What is prob of picking 3 j and 1 s? 8/455 Three letters picked without replacement from {w: 3, k: 4, b: 6, v: 4}. Give prob of picking 2 b and 1 k. 3/34 What is prob of picking 1 s and 2 l when three letters picked without replacement from {l: 9, s: 2}? 24/55 What is prob of picking 2 b when two letters picked without replacement from {b: 2, c: 1, e: 1, i: 3}? 1/21 Two letters picked without replacement from {o: 3, u: 8}. Give prob of picking 2 u. 28/55 Three letters picked without replacement from qnjfiifjiifi. Give prob of picking 1 q, 1 i, and 1 n. 1/44 Four letters picked without replacement from ssossosoosso. What is prob of picking 4 s? 7/99 Calculate prob of picking 1 l and 1 c when two letters picked without replacement from lilliliillllllliclcl. 13/95 Two letters picked without replacement from {k: 2, a: 5}. What is prob of picking 2 a? 10/21 Calculate prob of picking 2 l when two letters picked without replacement from cldccclcdcdll. 1/13 What is prob of picking 1 f and 1 e when two letters picked without replacement from swewwwwfw? 1/36 What is prob of picking 2 q and 1 l when three letters picked without replacement from {l: 1, q: 1, f: 1}? 0 Two letters picked without replacement from {t: 17, k: 3}. What is prob of picking 1 t and 1 k? 51/190 What is prob of picking 3 u when three letters picked without replacement from uuuyuy? 1/5 Two letters picked without replacement from yeyy. What is prob of picking 2 y? 1/2 Two letters pic
{ "pile_set_name": "DM Mathematics" }
- 2*c - 8 = 13, 5*c = z - 33. Suppose 7*u = -335 + 1154. Calculate the greatest common factor of u and z. 13 Let c be (-6)/(-2) + (5 - (5 + -20)). What is the greatest common divisor of 161 and c? 23 Suppose 5*n + 0*c - 204 = c, -3*n - c + 116 = 0. Suppose 4*i = i - 5*s + 445, 160 = i + 4*s. What is the highest common factor of n and i? 20 Let o(m) = -m**3 + 2*m**2 - 2*m + 39. Let p(j) = 3*j + 39. Let q be p(-13). Let a be o(q). What is the highest common factor of a and 3? 3 Let z(f) = 2*f + 625. Let t be z(-64). What is the greatest common factor of 7 and t? 7 Suppose 0 = 11*u + 12*u - 3381. Calculate the highest common factor of 63 and u. 21 Let d = 122 + -93. Let w be (d + -17)/(1/12). Calculate the greatest common divisor of 16 and w. 16 Suppose 1396 = -23*j + 19221. Calculate the highest common divisor of j and 93. 31 Suppose -5*m + 29 = 9. Let y(g) = 2*g**3 - g**2 - g - 3. Let o be y(m). Let d be (2 + -4 - (-5 + 4))*-21. What is the highest common divisor of o and d? 21 Let a(l) = 2*l**2 + 7*l - 13. Let n be a(3). Let k be 1/((-50)/52 - -1). What is the greatest common divisor of k and n? 26 Suppose -5*r + 4*v = -764, 201 = 2*r - 4*v - 95. What is the greatest common divisor of r and 221? 13 Let d = 155 + -35. Let y = 351 - d. Calculate the greatest common factor of 21 and y. 21 Let g(v) = -v**3 - 4*v**2 - 2*v - 36. Let l be g(-6). Let x = 61 - l. What is the greatest common factor of 104 and x? 13 Suppose w - 4*n = -21, 91 + 4 = -3*w - 4*n. Let f = 22 + w. Let d be (-817)/f - (-24)/84. What is the highest common factor of 13 and d? 13 Suppose -3*m = -4*r + 2*m + 2, -3*r + m + 7 = 0. Suppose -r*h = -2*f + 93, -2*f + 4*h + 63 = -35. Calculate the greatest common factor of f and 26. 13 Let q be -18 + 13 - (-10 - -1). Suppose -q*r - 15 = -5*r. Let o = 259 + -94. What is the highest common divisor of o and r? 15 Suppose 28*n - 804 = 988. What is the highest common divisor of 56 and n? 8 Let p(y) = 9*y**2 - y + 2. Let w be p(-1). Calculate the greatest common factor of w and 8. 4 Suppose 2*h - m = 27, -h - 9*m + 36 = -5*m. Suppose -l + 6*l = 560. Calculate the highest common factor of l and h. 16 Let b = 29 + -25. Suppose 2*j = 3*u + 18, -2*u + b = -0*u. What is the greatest common factor of j and 4? 4 Suppose 0 = -3*z - 5*y + 4*y + 87, 0 = 5*y. Let l be -1 - (1 - (3 + 28)). What is the greatest common factor of z and l? 29 Let d = -3 + -22. Let w = -19 - d. Suppose -33 - 93 = -w*u. What is the greatest common factor of u and 42? 21 Let u(s) = 6*s + 5. Let o be u(5). Let y = 7752 - 7745. What is the greatest common factor of o and y? 7 Let i(l) = -2*l. Let p be i(7). Let h be p/77 + (-92)/(-22). Suppose -160 = -c - h*c. Calculate the greatest common divisor of 4 and c. 4 Suppose 0 = 8*f - 642 + 162. Calculate the highest common factor of 75 and f. 15 Let j be (-3 + 0)*(-1288)/42. Calculate the greatest common factor of j and 138. 46 Let t be 2/(-9) - (-115024)/504. Calculate the highest common factor of t and 36. 12 Let i(w) = w + 7. Let c be i(4). Let m be -2*(2 - 4) - 1. Let g be m - 24/4 - -14. Calculate the greatest common divisor of c and g. 11 Let k = -85 + 15. Let t = 142 + k. Calculate the greatest common divisor of t and 24. 24 Suppose h + 2*h = -5*q - 11, 2*q + 10 = -4*h. Let i be 9 + q/(3 + -4). What is the highest common divisor of i and 20? 10 Suppose r = 2 + 4. Let i be ((-3)/r)/(1/(-28)). Let v = -349 + 356. Calculate the highest common factor of v and i. 7 Let x be (-12346)/(-38) + (-6)/(-57). Calculate the highest common factor of 175 and x. 25 Suppose 37*k - k = 1440. Calculate the greatest common factor of 2120 and k. 40 Let j(o) = -29*o - 53. Let a be j(-3). Calculate the greatest common divisor of a and 1088. 34 Let r = 9 + -5. Suppose s + 2 = -4*z - 0, 5*z + r*s = -8. Let j(x) = -x**3 + 13. Let o be j(z). Calculate the highest common divisor of 26 and o. 13 Suppose 43*k - 25*k + 540 = 23*k. Let q be 1*(-4)/3*9. Let o = 24 + q. What is the greatest common divisor of o and k? 12 Let h = 22 - 30. Let y = 35 + h. Suppose 18*j - 15*j - y = 0. What is the highest common divisor of j and 90? 9 Let g(a) be the second derivative of -a**5/20 + a**4/3 - a**3/3 - 12*a. Let j be g(2). What is the highest common factor of 4 and j? 4 Suppose 88*b + 1185 = 103*b. Calculate the greatest common factor of 1 and b. 1 Suppose 3*o - 4 = 5. Let n be (1 + -2)/(o/27). Let y be -2 - (n + (-12)/(-4)). Calculate the highest common divisor of y and 4. 4 Let g(n) be the second derivative of 13*n**3/6 - 17*n**2/2 + 24*n. Let j be g(4). What is the greatest common divisor of 315 and j? 35 Suppose 16*s - 2503 = -935. What is the greatest common divisor of 126 and s? 14 Suppose -3*d = -6, -9*i - 4*d = -12*i + 127. Calculate the greatest common factor of i and 60. 15 Suppose -3*h - 117 = -c - 4*c, -4*c + 101 = 5*h. Let o(y) = -y**2 - 16*y - 12. Let b be o(-14). Calculate the greatest common factor of b and c. 8 Let d = -9 + 9. Suppose d*h + 2 = 2*h. Suppose -5*n = 3*k - 11, 4*k - n = -2*n + 9. What is the greatest common factor of k and h? 1 Suppose 3*j + 4*b = 21, -5*j = -3*b + 8*b - 30. Suppose 5*t - j*g - 57 = 50, -2*g + 30 = 2*t. Calculate the greatest common factor of t and 19. 19 Let d = 1 + 4. Let f = -803 - -848. Calculate the highest common divisor of d and f. 5 Let i be (4 - 2) + -5 + 188/4. What is the highest common factor of i and 11? 11 Let k(b) = -73*b - 10. Let u be k(-1). What is the highest common factor of 9 and u? 9 Suppose 2*f = -f + 210. Let h = 0 - -7. Let q(z) = -z + 17. Let y be q(h). What is the greatest common divisor of f and y? 10 Let a = 158 - 20. Let l = 147 - a. What is the highest common divisor of l and 9? 9 Let g = -43 + 48. Suppose 0 = -4*l - 0*f + g*f + 244, 0 = -5*l - f + 276. Calculate the greatest common divisor of 8 and l. 8 Let y be (2 + -12)*1/(-2). Suppose 0 = 658*n - 588*n - 1750. What is the highest common divisor of y and n? 5 Suppose 22*b + 58 - 1818 = 0. What is the highest common factor of b and 32? 16 Suppose 5*l - 9*l = -5*z + 94, -23 = -z + 5*l. Let d(p) = p**2 + 3*p + 2. Let n be d(7). Calculate the greatest common divisor of n and z. 18 Let s = -22 + 29. Suppose -9*q = -s*q - 60. Let x be (-4)/14 - 1472/(-7). Calculate the greatest common factor of x and q. 30 Suppose -4*o = 5*c - 22, -2*o - 3*c = 3*o - 21. Suppose o*w + 68 = 3*s + 2*s, 5*s - 61 = -4*w. Calculate the greatest common factor of 13 and s. 13 Let l(j) = 5*j - 5. Let p be l(6). Suppose 3*q - p - 53 = 4*y, q + 3*y = 13. What is the highest common divisor of q and 33? 11 Let f be (2*10)/1*3264/(-30). Let g be (-1)/(-7) - f/56. Calculate the greatest common factor of g and 26. 13 Let p be (-2)/(3/(-105) + 0). Suppose 13*a + 53 - 417 = 0. What is the greatest common factor of p and a? 14 Let t(l) = 2*l**2 - 98*l - 657. Let s be t(55). Suppose 0 = 4*v - 3*r - 2*r - 151, 119 = 3*v + 2*r. What is the greatest common divisor of v and s? 3 Let k = 0 + 243. Let z = k - 122. Suppose 0 = -2*a + o + 24, -1032*a + 1031*a + 1 = 5*o. Calculate the greatest common divisor of z and a. 11 Suppose 3*q - 2*x = -7*x + 5, -q - 3 = -3*x. Suppose -4*y - 1 + 53 = q. Calculate the greatest common factor of 39 and y. 13 Let u be -1 + 0 - (-7)/(3 + -2). Let z be ((-2)/u + 3)*48. Calculate the highest common divisor of z and 16. 16 Suppose 0 = -7*d - 2*d + 36. What is the highest common factor of 284 and d? 4 Let r be -1 - -4 - (-5)/1. Suppose 0*y = 2*y - r. Suppose 0 = y*t - 8*t + 36. Calculate the greatest common factor of t and 18. 9 Let w be (-2)/(-11) + 15*(-340)/(-22). Suppose 4*v + 2*o = 210, w = 5*v + 3*o - 33. What is the greatest common divisor of 20 and v? 10 Let v(d) = -4*d - 9. Let a be v(-6). Let x(h) = -12*h + 474. Let s be x(37). Calculate the highest common divisor of s and a. 15 Suppose 236 = 8*c + 60. Let x(s) = 5*s**2 - 6*s - 5. Let q be x(-4). Calculate the greatest common divisor of q and c. 11 Let y = -12 + 39. Let q = y + -24. What is the greatest common factor of 2 and q? 1 Let j = 578 - 401. Calculate the greatest common divisor of j and 413. 59 Let q = -1 + 4. Suppose q*f - 3*w + 2 = 14, -2*f + 36 = 5*w. Suppose -32 = -4*o - 0*o. What is the highest common divisor of o and f? 8 Suppose 399 = 5*d - 666. Suppose 2*p = -5*c + d, p - c = -p
{ "pile_set_name": "DM Mathematics" }
+ 40, -10 = t + 3*y for t. -4 Solve -5*l + 120*y = 122*y + 57, 2*y - 75 = 7*l for l. -11 Solve -8 = -51*b + 55*b - 3*q, 5 = 13*b - 2*q for b. 1 Solve 5*d + 131*i - 19 = 135*i, 2*i = -2 for d. 3 Solve 4*g + 5 = -3*u, 0 = g - 25*u + 29*u + 24 for g. 4 Solve 198*i + 4*s - 12 = 199*i, -2*i + 12 = 18*s - 14*s for i. 0 Solve -4*x + 88 = -3*m, 290*m - 292*m - 3*x = 87 for m. -36 Solve 0*m - 338*y + 17 = -m - 342*y, 2*y + 8 = 0 for m. -1 Solve -130*r = 2*n - 132*r, -9 = 2*n + r for n. -3 Solve 3*y + 4*g = -5, 0 = -3*y - 5*g + 8 - 18 for y. 5 Solve 5*w - 6 = -p, 11922*p = 11924*p - 4*w + 16 for p. -4 Solve u + z = 7 - 2, 6*u + z - 30 = 0 for u. 5 Solve 25 = -5*n, -7971*m - 26 = -7967*m + 2*n for m. -4 Solve 0 = 3*x - 4*v - 9, 26*x + 4*v + 15 = 23*x for x. -1 Solve 4*a + 3*v + 13 = 0, 3*v + 56 = a + 63 for a. -4 Solve 338*m - 17 = 337*m + 4*t, -5*m = 3*t - 16 for m. 5 Solve -5 = 5*s + z, -147*z - 4 = 4*s - 145*z for s. -1 Solve -1186*w + 45 = -1190*w - 5*h, 10*h + 90 = w for w. 0 Solve 3*g = -3*k, 0 = 31*g - 37*g - 2*k - 20 for g. -5 Solve 3*d + 242 - 172 = 5*z, -4*d - 80 = -4*z for d. -15 Solve 38*w - 35*w - 3 = -t, -5*w + 7 = t for t. -3 Solve -4*n - 4*w + 32 = 0, -4*n + 6*n - 1 = w for n. 3 Solve 22*b - 18*b + 3*x - 8 = 0, -x = -5*b + 29 for b. 5 Solve 0 = -4*s - 12, -4*l + 106 - 15 = -s - 4*s for l. 19 Solve 5*n = 3*k + 22, 4*k - 292*n + 287*n = -21 for k. 1 Solve n - 4*x - 19 = 0, 19 = -360*n + 356*n - 3*x for n. -1 Solve 46*r = 2*t - 116 - 72, -5*r - 22 = -t - 0*t for r. -4 Solve 81*d + 12 = 4*u + 77*d, -d - 1 = 0 for u. 2 Solve 9 = 3*l + 2*z, -3*z + 7 - 13 = -2*l for l. 3 Solve 3*y = -5*r + 20 - 11, 76*r + 9 = 3*y + 73*r for y. 3 Solve -11*u = -2*d - 7*d - 14*u - 75, 2*u = -d for d. -10 Solve g = 10*h - 43, -h - 2*g + 79 - 60 = 0 for h. 5 Solve -3*m + 3 = -2*n, 2*m + 8 - 17 = -n for n. 3 Solve -21 = 4*g + c, c = -11*g - 262 + 213 for g. -4 Solve -6 = 2*j + 5*h, -h = 2*j - 300 + 298 for j. 2 Solve 4*n + 10*t - 102 = 0, 4*n = 667*t - 665*t - 6 for n. 3 Solve -2*r - 2*n - 8 = 0, 4*r + 1 = -6*n + 5*n for r. 1 Solve 3*d = -5*w - 16, -340*w + 354*w = -5*d - 55 for w. -5 Solve -569*w + 564*w + 24 = s, 4*s = -4 for w. 5 Solve j + 2 = 5*j - 2*y, -2*y = 5*j - 16 for j. 2 Solve -2*c + h + 8 = 0, 3*c = h + 10 - 3 for c. -1 Solve -d - 4*a + 8 = 0, 0 = -566*d + 562*d - a - 28 for d. -8 Solve -j = 5*h + 26, -2*h - 3*j - 143 = -117 for h. -4 Solve 0 = 14*q - 13*q - 3*m - 13, -4*q + 3*m = -16 for q. 1 Solve 14 = 2*c - n, 258 = -5*n + 238 for c. 5 Solve -13 = -0*m - 5*m + 2*x + 17, -7*x - 35 = 0 for m. 4 Solve 0 = -3*p - 3*r - 61 + 73, 50 = -4*p + 7*r for p. -2 Solve 5*m + 5*g - 20 = 0, -4*m + 2*g = -1062 + 1070 for m. 0 Solve 0 = -2*u + 4*f - 26, -u - 109 = 5*f - 145 for u. 1 Solve 3*h - f = -0 + 19, 122 - 102 = -5*f for h. 5 Solve 0 = -4*t + 3*r + 49 - 22, -2 = -4*t - 2*r for t. 3 Solve 2*h = -4*c + 166 - 176, 8*h = 3*h + 3*c + 27 for h. 3 Solve -3*h - 31 = -2*m, -11*m - 214 = 32*h - 9*m for h. -7 Solve 2*c - 5*q = -9, 4*c - 5*q - 1182 + 1185 = 0 for c. 3 Solve -3*o = 4*m, -3*m + 3*m = m + 2*o for m. 0 Solve -122 = 4*t + 5*o, -5475*t = -5476*t - 4*o - 91 for t. -3 Solve 0 = -2*n + 4*r - 24, -5*n + r - 14 = 10 for n. -4 Solve y - 5 = 5*l, -3*l = -5*y - 13 - 50 for y. -15 Solve 4*a - 39 = -23, -c - 3*a = -16 for c. 4 Solve -27 = -5*x + 2*a, -1149*x - 14 = -1152*x - a for x. 5 Solve 8*g - 11*g - 3 = -2*p, 5*p - 3*g = 21 for p. 6 Solve 32*s = 4*t + 36*s, -5*s = -25 for t. -5 Solve -3*r - 19 = -2*q, -5*q + 2*r - 265039 = -265081 for q. 8 Solve 5*r = -7*t + 86, 7*r + 5*t - 60 = 2*r for r. -1 Solve -3*v + 19 - 15 = 19*s + 37*s - 52, 0 = 3*v for s. 1 Solve -2*l + 23180 - 23162 = -4*q, -10*q = 3*l + 69 for q. -6 Solve 115*o - 116*o = -5*g - 5, 4*g + 28 = -4*o for g. -2 Solve -17 = -5*m - p + 12, -58 = 4*m - 5*p for m. 3 Solve 2*r - 20 = 3*j, -5*j = -4*r + 12018 - 11988 for r. -5 Solve -3*h - 10 = l, 9240*l - 5 = h + 9242*l for h. -3 Solve 3*f + 21 = 6*q, -4*f = -23*q + 25*q - 2 for f. -1 Solve 5*a + a + 32 = -2*j + a, 0 = 2*j - 3*a for j. -6 Solve 359*h + 68 = 4*u + 363*h, 33 = -3*u + 4*h for u. 5 Solve -3*n = 5*o - 8*n - 50, 2*o + 5 = -3*n for o. 5 Solve 3*c + 5 = -4*l, 5*l - 8*l + 14 = 20*c for c. 1 Solve 0 = -4*j + f + 1, 0 = -5*j + 678*f - 675*f - 4 for j. 1 Solve -5*n = -2*f + 17, 0 = -37590*f + 37594*f - 4*n - 4 for f. -4 Solve v = -3*f + 4*v, -12*v - 22 = 31*f - 9*v + 46 for f. -2 Solve -5*v = -5*u + 25, v - 3*u - 71 = -82 for v. -2 Solve 0 = -3*d + 2*w - 38, -431*d = -434*d - 3*w - 63 for d. -16 Solve 0 = q + 2*y + 560 - 581, q + 4*y = 37 for q. 5 Solve 1 = -d + q, d + 7 - 6 = -q for d. -1 Solve 4*i = -3*z - 1, 0 = -9*z + 5*z - i + 16 for z. 5 Solve -6*o + 16 = 5*b, 3*o - 1017 = -3*b - 1008 for b. 2 Solve -3*t - 42 - 25 = -5*i - 51, 9*t = -4*i - 10 for i. 2 Solve q + 6 = 4*h, 166*h + q - 21 = 161*h for h. 3 Solve -6*b + 3*b + 7*b - 44 = 0, -54 = 7*z - 3*b for z. -3 Solve 5*w - 5*l = 12126 - 12116, -3*l - 6 = 3*w for w. 0 Solve 12 = 2*w - 5*c, 2*c = w + 10 - 17 for w. 11 Solve 3*h = -5*b + 3*b - 16, 4*b = 16 for h. -8 Solve -3*j + 2*i = -19, -61*i + 36 = 5*j - 60*i for j. 7 Solve 189 = s + 3*q + 191, 5*s - 3*q = -28 for s. -5 Solve 8*z = -32, 48*t - 5*z = 52*t + 24 for t. -1 Solve -5 = -4*x - 4*w - 29, 0*x = 3*x + 7*w + 14 for x. -7 Solve 229*s + 70 = 225*s - 2*t, -2*s - 2*t - 38 = 0 for s. -16 Solve a - 121*i = -122*i + 15, -5*i = -2*a + 37 for a. 16 Solve -2*l = 3*i + 19, 1523 = 3*l + i + 1534 for l. -2 Solve -c - 7 = -3*m + 37, 59 = 3*m - 4*c for m. 13 Solve -d - 7 = -3*a, 2*d - 103 + 95 = -5*a for d. -1 Solve -2*y - 5*x - 20 = 0, -260*x - 13 = -5*y - 262*x for y. 5 Solve 0 = -3*d + a - 122363 + 122339, -2*d = -4*a + 46 for d. -5 Solve 0 = 278*p - 276*p + 4*m - 22, -3*p = 2*m - 17 for p. 3 Solve -14 = -2*m + 2*r, -27*r + 28*r - 1 = -3*m for m. 2 Solve 2*f + 83 = 2*g + 61, 2*g + 5*f + 27 = 0 for g. 4 Solve 18 = -73*m + 78*m + 4*w, 9*m - 63 = 3*w for m. 6 Solve -2*u + 3 = 7*c - 2*c, -3*c = -3 for u. -1 Solve 5*c + 3*k + 281 = 232, -4*k + 12 = -3*c for c. -8 Solve 0 = 3*i - 2*z + 1, 3*i + 572*z = 577*z + 2 for i. -1 Solve 2*y = -10, -518*k + 515*k - 4*y - 2 = 0 for k. 6 Solve -3*a - 701 + 698 = -2*w, 4*a - 3*w = -3 for a. -3 Solve 43*s + 2*l - 10 = 40*s, -3*s + 5*l = -38 for s. 6 Solve -184524*s - 56 = 5*w - 184522*s, -4*s = 3*w + 42 for w. -10 Solve -2*m = -3*g - 5, m = -2*g - 63 + 62 for g. -1 Solve -3*t = 5*k + 10, 10 = -142*k + 137*k - t for k. -2 Solve d - 563*u = -564*u + 5, -11 = -4*d - 3*u for d. -4 Solve 5*a + 5*h = 0, -5*a - 19*h = -15*h + 5 for a. -5 Solve 0 = 23*j + 5*r + 182, 5*j = -2*r - 43 - 13 for j. -4 Solve 251*c - 255*c - 2*i = -18, 3*c = -i + 15 for c. 6 Solve -33 = -5*p - 4*k, -1163 + 1146 = -5*p + 4*k for p. 5 Solve -34814 = 4*d + 2*u - 34798, 5*u = 20 for d. -6 Solve 164*n - 9 = 161*n - 5*l, 0 = -5*n - 3*l + 31 for n. 8 Solve 3*d + 365 = -4*n + 330, 0 = -3*d + 4*n - 19 for d. -9 Solve 2*d + 2 = 0, -16*p = -11*p - 3*d - 43 for p. 8 Solve 0 = 2*a + 5*x + 87 - 74, -2*a + 2*x - 6 = 0 for a. -4 Solve 4*w + 6 = a, -3338 = -3*a + 5*w - 3334 for a. -2 Solve -5*o - 16282*h + 15 = -16284*h, -2*h = 3*o - 25 for o. 5 Solve 8*j - 11 = 9*j - 3*x, 3*x = -4*j + 1 for j. -2 Solve 345 = -4*x + 281, -2*f + 102 = -6*x for f. 3 Solve 4*q - 15 = 5*w, 33*w - 30*w + 55 = 7*q for q. 10 Solve 3*o + 5*i + 60 = 16*o, -o - 2*i = -7 for o. 5 Solve -5*d - 734*c = -362*c - 368*c - 11, 16 = 7*d + 5*c for d. 3 Solve 12 = 3*x + 2*l, -13114*x - l = -13115*x + 4 for x. 4 Solve -3*x + a + 181 - 176 = 0, 5*x - 3*a + 147 - 150 = 0 for x. 3 Solve 5*j - 3*p - 37 = 0, 768*j - 772*j - p + 16 = 0 for j. 5 Solve -102*b - 118*b + 20 = -5*z - 223*b, 14 = z - 3*b for z. -1 Solve 6*v - 18*z + 16*z + 32 = 0, 5*v + 22 = -3*z for v. -5 Solve -t - 3*q + 20 = -2*t, -3*q = -2*t - 19 for t. 1 Solve 3*b - 5*y - 34 = 0, 11*b + 3*y + 147 = 8*b + 47*b for b. 3 Solve 0 = v - 5*t + 4, 5*v - 4*t + 14*t - 15 = 0 for v. 1 Solve 0 = 32*d + 110*a - 107*a + 81, -2*d + a - 11 = 0 for d. -3 Solve -4*y + 19 = -r, 174*y = 3*r + 169*y + 43 for r. -11 Solve 4*b = -68*m + 72*m - 8, 4*b + 11 = 5*m for b. 1 Solve -407*d + 2*z + 4 = -411*d, 2*d + 2 = 4*z for d. -1 Solve -5*j + 221 - 242 = 3*d, -4*d - 3*j = 28 for d. -7 Solve 4*x + 34 = 204*q - 206*q, -2*q = -x + 19 for q. -11 Solve -n - 7*a + 18 = -4, 3*a = 5*n +
{ "pile_set_name": "DM Mathematics" }
(70))*2)/(-3*sqrt(10)*1 + (sqrt(80)/sqrt(2) - sqrt(40))/sqrt(4) + sqrt(10)))**2. 112 Simplify (-3 + (sqrt(5)*-2*-2)**2 + 0)*-5. -385 Simplify ((sqrt(96) - -1*sqrt(96))/sqrt(4))/sqrt(12) - sqrt(18)/(sqrt(45)/(-1*sqrt(5))). 3*sqrt(2) Simplify (sqrt(378) + (sqrt(378) - (1*sqrt(378) - sqrt(378))*2) - -1*sqrt(378)*-2)/((sqrt(6) + (sqrt(168)/sqrt(4))/sqrt(7) - sqrt(6)) + -2*sqrt(6)*-4). 0 Simplify ((sqrt(90)/sqrt(3))/sqrt(5) - sqrt(42)/sqrt(63))/((sqrt(12)/(sqrt(12)/sqrt(2)) - sqrt(2)) + sqrt(200)/sqrt(4)). 2*sqrt(3)/15 Simplify -3 + (sqrt(1375)*1*-1 + sqrt(1375) + sqrt(1375))/(sqrt(10)/sqrt(2)*-5*-2). -3 + sqrt(11)/2 Simplify (sqrt(3) - (sqrt(3) + 2 + sqrt(48))) + sqrt(72)/sqrt(6) - (sqrt(75) + 0 + -3*sqrt(75))**2. -302 - 2*sqrt(3) Simplify (-1 + -2*sqrt(1377)*6 + -5)**2 + 5 + -5. 1296*sqrt(17) + 198324 Simplify ((2*(sqrt(55) - (sqrt(55) + sqrt(55) + sqrt(220)/sqrt(4) - sqrt(55))) - sqrt(55) - (-2*sqrt(660))/sqrt(12))/((1*sqrt(4752))/sqrt(3)))**2. 5/144 Simplify (-4 + ((2*sqrt(300))**2 - sqrt(300) - sqrt(75)*4))*4. -120*sqrt(3) + 4784 Simplify -1 + 2*4*-3*(sqrt(15)/sqrt(3)*1 - sqrt(5))**2. -1 Simplify (sqrt(6300) + 3 - (sqrt(70) - (sqrt(70) + (sqrt(70) - (sqrt(70) - (4*sqrt(70) - sqrt(70))*-2))))/sqrt(10))**2. 144*sqrt(7) + 4041 Simplify ((sqrt(91)/sqrt(63) + sqrt(13)*-3*-5)**2 + 4 + -1)*5. 137675/9 Simplify -3 + -1 + (sqrt(5)*-1)**2*1 + sqrt(240)/sqrt(3). 1 + 4*sqrt(5) Simplify (3*(sqrt(396) - (sqrt(396) + 1)*-2) + (-1*sqrt(396)*-3 - sqrt(396)) + (sqrt(396) + -1 - sqrt(396) - sqrt(396)) + -1)**2. 480*sqrt(11) + 39616 Simplify (-1*(sqrt(91) + 2*sqrt(91) + sqrt(91) - sqrt(91)) - sqrt(91))/sqrt(7) + (5*(2 + sqrt(52)/sqrt(4)))**2 + -5. 96*sqrt(13) + 420 Simplify -6*(-6*(2 + sqrt(80) + 0 - sqrt(80))**2 + 2 + 2 + (2*sqrt(80))**2). -1800 Simplify (sqrt(22)/(1*-3*sqrt(2))*3)**2*5. 55 Simplify ((sqrt(340) - (sqrt(340) + (sqrt(340) - -3*sqrt(340)) + sqrt(340) + sqrt(340)))/sqrt(10) - sqrt(34))/(6*sqrt(288)). -7*sqrt(17)/72 Simplify ((sqrt(88) - (sqrt(88) - sqrt(88)*-2)*5 - sqrt(88))*6)/((sqrt(800) - sqrt(800)*2)*2). 9*sqrt(11)/2 Simplify (1*sqrt(84)*-2 + sqrt(84) + (sqrt(84) - -1*sqrt(84))*-5)/(3*(sqrt(12) - 1*sqrt(12)*-2)). -11*sqrt(7)/9 Simplify (sqrt(300) + ((-1*sqrt(300) - sqrt(300))*-4 - sqrt(300)) - sqrt(3)*-1*4*-5)**2. 10800 Simplify (-6*(0 + sqrt(3087) + 2*sqrt(3087) + -2*sqrt(3087) + -5)*-2)**2. -30240*sqrt(7) + 448128 Simplify 4*5*(-1*sqrt(243) - (0 + sqrt(3) + 1))*-6. 120 + 1200*sqrt(3) Simplify ((-1*sqrt(250)*4)/sqrt(10))/((sqrt(5) - sqrt(20))*-3*2). -2*sqrt(5)/3 Simplify (sqrt(864)*-1)/((sqrt(132)*-4 - sqrt(132) - sqrt(132))/sqrt(11)). sqrt(2) Simplify 3 + (((((sqrt(126) - sqrt(126)*-3) + sqrt(126) - sqrt(126))/sqrt(2) - sqrt(63))*-6)**2 + 0)*3. 61239 Simplify (-4*sqrt(128)*4 + 3 + -5)**2. 512*sqrt(2) + 32772 Simplify 4*(sqrt(120)/sqrt(16))/(5*sqrt(54)). 2*sqrt(5)/15 Simplify (((sqrt(245) + -1 - sqrt(245)) + -3 - (-1 + sqrt(245)*-2))*1)**2. -84*sqrt(5) + 989 Simplify (sqrt(2160)*2)/(sqrt(55)/(-1*sqrt(11))) + -4. -24*sqrt(3) - 4 Simplify (2*(-4 + sqrt(720) + 5*(sqrt(720) + sqrt(720)*1))*4)**2. -67584*sqrt(5) + 5576704 Simplify (0 + 2 + sqrt(147) + sqrt(147))**2 + -2*(-3*sqrt(192) - sqrt(192)). 120*sqrt(3) + 592 Simplify (sqrt(33)/(sqrt(15)/(sqrt(245) - sqrt(5))))**2 - -6*(-1 + sqrt(11) + 5). 6*sqrt(11) + 420 Simplify (sqrt(200)*2 + -4)**2 + (0 + sqrt(200))*2 + 2. -140*sqrt(2) + 818 Simplify 6*(4*(-5 + sqrt(320) + (sqrt(320) - (sqrt(320) + 0) - sqrt(320) - sqrt(320) - sqrt(320)) + -1))**2. 18432*sqrt(5) + 126336 Simplify (1 + 4 + sqrt(66)/((sqrt(66) + 2*sqrt(66) - sqrt(66))/sqrt(11)))*-1. -5 - sqrt(11)/2 Simplify 1 + -5 + ((-1*sqrt(72) - sqrt(72))**2 - sqrt(24)/(sqrt(60)/sqrt(5))). -sqrt(2) + 284 Simplify (1 + 5*(sqrt(52) + sqrt(13)) + 3*sqrt(26)/sqrt(2) + sqrt(13))**2 + (sqrt(91) + 6*2*sqrt(91))/(sqrt(63)/(sqrt(9)*2)). 64*sqrt(13) + 4694 Simplify (1 + (-1*sqrt(343)*3 - sqrt(343)))**2 + (sqrt(112) + -1 + 4)**2 + -1. -32*sqrt(7) + 5609 Simplify ((3*sqrt(72))/sqrt(4))/(sqrt(9) - ((sqrt(90) - (-4*sqrt(90) + sqrt(90))) + sqrt(90))/sqrt(10) - sqrt(9))*3*2. -18*sqrt(2)/5 Simplify (-4*(sqrt(91) - sqrt(91)*1))/(-3*sqrt(112)). 0 Simplify 3*(-1 + sqrt(475))**2*-6 + (sqrt(475) + (sqrt(475) + sqrt(475) + 1 + sqrt(475))*2)**2 + -1. 320*sqrt(19) + 14710 Simplify ((sqrt(612)*-6)/sqrt(12))/(sqrt(33)/(sqrt(11) + sqrt(110)/sqrt(10))). -12*sqrt(17) Simplify (sqrt(72) - (sqrt(72) + 3*sqrt(72)*-1))/sqrt(6)*-3 + -1. -18*sqrt(3) - 1 Simplify (sqrt(65)/(-2*sqrt(605) + sqrt(5)) - (sqrt(13) - (sqrt(13) + sqrt(39)/sqrt(3) + 5))**2*1) + 5. -211*sqrt(13)/21 - 33 Simplify 4 + (0 + ((sqrt(1053) - 2*sqrt(1053)) + 3 - (-4 + (sqrt(1053) - (sqrt(1053) + sqrt(1053) + 2*sqrt(1053) + sqrt(1053))))))**2 + 5. 378*sqrt(13) + 9535 Simplify (1 + ((sqrt(45) + 0)*-5 - (-2 + sqrt(45))*-2)*2)**2. 252*sqrt(5) + 1669 Simplify 4 + sqrt(11) + (sqrt(11) - ((sqrt(11) - sqrt(44)) + sqrt(11))) + (sqrt(11) - (sqrt(396) + -4 + sqrt(396) + sqrt(396)))**2 + 4. -134*sqrt(11) + 3203 Simplify 4*((1 + sqrt(720))**2 + sqrt(720) + sqrt(720) - -1*sqrt(5)*4) - (sqrt(35)/(-4*sqrt(7)*-1) + 2). 831*sqrt(5)/4 + 2882 Simplify ((sqrt(324)*-1)/(sqrt(800) + sqrt(32)))**2*4. 9/8 Simplify (((sqrt(121) - ((-2*sqrt(121) + sqrt(121))*1 + sqrt(121)))*-2)/(sqrt(88)/(sqrt(8)*1) - (sqrt(33) + sqrt(99)/sqrt(3))/sqrt(3)))**2*-3. -132 Simplify (-3*1*sqrt(15) - sqrt(120)/(sqrt(8) + sqrt(32)/sqrt(4)))/(sqrt(30)/(sqrt(10)*-1) - -1*sqrt(3)*-2). 7*sqrt(5)/6 Simplify ((-1*sqrt(126)*-5 + sqrt(126))/sqrt(2))/(sqrt(216)/sqrt(6) - (-1*sqrt(36))/sqrt(4)). 2*sqrt(7) Simplify (-6*(2*sqrt(136) + sqrt(136))*-1)/(6*(2*sqrt(392) - sqrt(392))). 3*sqrt(17)/7 Simplify (-4*(sqrt(198) - (1*-1*sqrt(198) - sqrt(198) - sqrt(198))))/(-1*sqrt(99) + (sqrt(11) - sqrt(22)/sqrt(2)*5)). 48*sqrt(2)/7 Simplify -5 + (0 + sqrt(17)*1 + 2 - (1 + sqrt(425))*-5). 2 + 26*sqrt(17) Simplify ((sqrt(396) - -1*(sqrt(396) - (sqrt(396) + sqrt(396) + 1))) + sqrt(396) + sqrt(396)*-2 + 4 + sqrt(396) - (sqrt(396) + 1*sqrt(396) + 1)*-4)**2. 672*sqrt(11) + 25393 Simplify (3*(2*sqrt(325)*-2 + (sqrt(325) - (-1 + sqrt(325) + -2 + sqrt(325) - sqrt(325)))))**2. -1080*sqrt(13) + 46881 Simplify ((sqrt(152) + 2*sqrt(152))*-5 - sqrt(152))/(sqrt(72)*1 - (sqrt(2) - sqrt(2)*1)*6). -16*sqrt(19)/3 Simplify (sqrt(1782) + sqrt(1782)*2 + sqrt(352)*-2 + sqrt(352))/((sqrt(66)*-2*-3)/sqrt(6)). 23*sqrt(2)/6 Simplify 5 + 0 + 4 + (sqrt(34)/sqrt(2))**2 - ((sqrt(1088) + -2 - sqrt(1088))**2 - (sqrt(17)*3 + 4)). 3*sqrt(17) + 26 Simplify (2*sqrt(76)*3 + sqrt(76) + (sqrt(76) + 4*(sqrt(76) + sqrt(76) + -2*sqrt(76) + sqrt(76)) + sqrt(76) + sqrt(76) - sqrt(76)))/(-3*sqrt(36)/sqrt(9)*-3). 13*sqrt(19)/9 Simplify -5 + 5 + ((3 + sqrt(7) + 1)**2 - sqrt(7)) + sqrt(7) + (-1*sqrt(77))/sqrt(11). 7*sqrt(7) + 23 Simplify 1 + (-3*(1 + sqrt(11) - sqrt(11)) - sqrt(55)/(sqrt(5)*6 + sqrt(5)))**2. 6*sqrt(11)/7 + 501/49 Simplify -3*(-3 + (-5*(sqrt(114) - sqrt(114)*-2 - sqrt(114)))/sqrt(6)). 9 + 30*sqrt(19) Simplify (sqrt(5)*2 + 3)*6 + ((sqrt(125) - (sqrt(125) + 1 + sqrt(125) - sqrt(125))) + sqrt(125) - sqrt(125))**2 + -4. 15 + 12*sqrt(5) Simplify (sqrt(105)/(sqrt(5)*2*-2))/((sqrt(448) + sqrt(448)*-2)*-2). -sqrt(3)/64 Simplify ((-3*-2*sqrt(119))/sqrt(7) - ((-1*sqrt(612) - sqrt(612)) + sqrt(612) + (sqrt(2448) - (sqrt(2448) + -1 - sqrt(2448)))))**2. 1 Simplify ((sqrt(143)*4 + sqrt(143))*-5)/(-1*-4*sqrt(11)). -25*sqrt(13)/4 Simplify ((sqrt(200)*1*2 + 5)*-5)**2. 5000*sqrt(2) + 20625 Simplify (sqrt(180)*-2 + 0 - (-1*sqrt(180) + -3))**2. -36*sqrt(5) + 189 Simplify (-1*4*sqrt(495))/((sqrt(11) + sqrt(44))*1*6). -2*sqrt(5)/3 Simplify (sqrt(78)*-2*3 - (3*(sqrt(78)*1 + sqrt(78) - sqrt(78)) + sqrt(78) - sqrt(78)))/(1*sqrt(216)*6). -sqrt(13)/4 Simplify ((sqrt(1452) + sqrt(1452) + -2*sqrt(1452))*6)/((-1*sqrt(150) + sqrt(6) - sqrt(6)) + sqrt(6) + (sqrt(42)*-2)/sqrt(7))*6. 0 Simplify -5*((sqrt(68) - ((sqrt(68) + 0)*1)**2)*5 + -4). -50*sqrt(17) + 1720 Simplify ((sqrt(143) + (sqrt(143) - (sqrt(143) + sqrt(143) + sqrt(143)*-1)))*3*-2)/(sqrt(44)/sqrt(4)*-2 - (sqrt(22)*1)/sqrt(2)). 2*sqrt(13) Simplify (-3*1*(0 + -2 + sqrt(175)))**2. -180*sqrt(7) + 1611 Simplify (-2*sqrt(91) - sqrt(91))/sqrt(7) + (sqrt(117) + sqrt(117) + 3)**2 + 3 + 1 + sqrt(13) + (sqrt(26)/sqrt(2))**2 + 1. 34*sqrt(13) + 495 Simplify (-4*sqrt(180))/(sqrt(1089)*-4 - sqrt(1089) - sqrt(1
{ "pile_set_name": "DM Mathematics" }
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6 What is the hundred thousands digit of 2229535? 2 What is the units digit of 18288090? 0 What is the hundreds digit of 105544? 5 What is the units digit of 565873? 3 What is the millions digit of 1747439? 1 What is the hundred thousands digit of 290551? 2 What is the millions digit of 7763744? 7 What is the tens digit of 18232487? 8 What is the hundred thousands digit of 24102747? 1 What is the tens digit of 77192? 9 What is the hundreds digit of 1590718? 7 What is the hundred thousands digit of 190310? 1 What is the units digit of 785826? 6 What is the thousands digit of 1150457? 0 What is the ten thousands digit of 1972224? 7 What is the ten thousands digit of 12158819? 5 What is the tens digit of 1666505? 0 What is the units digit of 80639? 9 What is the thousands digit of 161129? 1 What is the ten thousands digit of 58684? 5 What is the hundred thousands digit of 15203587? 2 What is the thousands digit of 127183? 7 What is the hundreds digit of 323419? 4 What is the hundred thousands digit of 201581? 2 What
{ "pile_set_name": "DM Mathematics" }