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c - 7 What is the g'th term of -15, -30, -45, -60? -15*g What is the l'th term of 408, 403, 408, 429, 472, 543, 648? l**3 - l**2 - 9*l + 417 What is the i'th term of -745, -1489, -2233, -2977? -744*i - 1 What is the w'th term of 164, 160, 154, 146, 136, 124, 110? -w**2 - w + 166 What is the g'th term of -11, 32, 103, 208, 353, 544, 787? g**3 + 8*g**2 + 12*g - 32 What is the v'th term of -30, -4, 76, 240, 518, 940, 1536, 2336? 5*v**3 - 3*v**2 - 32 What is the g'th term of -204, -216, -228? -12*g - 192 What is the u'th term of 296, 281, 266, 251, 236? -15*u + 311 What is the u'th term of 477, 475, 473, 471? -2*u + 479 What is the z'th term of 10, 24, 70, 166, 330, 580, 934, 1410? 3*z**3 - 2*z**2 - z + 10 What is the q'th term of -106, -100, -84, -52, 2, 84, 200? q**3 - q**2 + 2*q - 108 What is the s'th term of 1968, 1975, 1992, 2025, 2080, 2163, 2280, 2437? s**3 - s**2 + 3*s + 1965 What is the q'th term of -2281, -4566, -6855, -9148, -11445? -2*q**2 - 2279*q What is the k'th term of 200, 202, 214, 242, 292, 370, 482? k**3 - k**2 - 2*k + 202 What is the j'th term of -1272, -5076, -11416, -20292, -31704, -45652? -1268*j**2 - 4 What is the i'th term of -35, -69, -103, -137? -34*i - 1 What is the c'th term of 8, 34, 84, 164, 280, 438? c**3 + 6*c**2 + c What is the p'th term of -556, -542, -528, -514, -500? 14*p - 570 What is the j'th term of 612, 1256, 1914, 2592, 3296? j**3 + j**2 + 634*j - 24 What is the j'th term of 219, 408, 547, 630, 651? -j**3 - 19*j**2 + 253*j - 14 What is the d'th term of 48, 101, 154, 207, 260, 313? 53*d - 5 What is the u'th term of -119, -122, -127, -134, -143, -154? -u**2 - 118 What is the a'th term of -5, -32, -75, -134, -209, -300? -8*a**2 - 3*a + 6 What is the g'th term of -436, -431, -430, -433, -440? -2*g**2 + 11*g - 445 What is the v'th term of 9, -4, -35, -90, -175, -296, -459, -670? -v**3 - 3*v**2 + 3*v + 10 What is the j'th term of -77, -359, -833, -1493, -2333? j**3 - 102*j**2 + 17*j + 7 What is the n'th term of -394, -778, -1162, -1546, -1930, -2314? -384*n - 10 What is the a'th term of 72, 76, 80? 4*a + 68 What is the r'th term of 16, 24, 32, 40? 8*r + 8 What is the c'th term of 4, 15, 26? 11*c - 7 What is the u'th term of -11, -53, -157, -353, -671, -1141? -5*u**3 - u**2 - 4*u - 1 What is the s'th term of -14207, -14208, -14209? -s - 14206 What is the d'th term of 91, 180, 269, 358, 447, 536? 89*d + 2 What is the j'th term of -49, -99, -153, -217, -297, -399, -529, -693? -j**3 + 4*j**2 - 55*j + 3 What is the c'th term of -19, -43, -81, -133, -199? -7*c**2 - 3*c - 9 What is the m'th term of 52, 101, 150? 49*m + 3 What is the d'th term of 1, 2, -17, -68, -163, -314, -533? -2*d**3 + 2*d**2 + 9*d - 8 What is the l'th term of -26, -56, -86? -30*l + 4 What is the f'th term of 35, 68, 161, 344, 647, 1100, 1733? 5*f**3 - 2*f + 32 What is the j'th term of -283, -560, -837? -277*j - 6 What is the x'th term of 2301, 4618, 6921, 9204, 11461, 13686, 15873, 18016? -x**3 - x**2 + 2327*x - 24 What is the i'th term of -82, -79, -76, -73, -70? 3*i - 85 What is the g'th term of -97, -99, -101, -103, -105, -107? -2*g - 95 What is the d'th term of 87, 174, 275, 396, 543? d**3 + d**2 + 77*d + 8 What is the y'th term of -1174, -1176, -1178, -1180, -1182, -1184? -2*y - 1172 What is the i'th term of 184, 401, 606, 793, 956, 1089, 1186, 1241? -i**3 + 224*i - 39 What is the r'th term of -72, -142, -212? -70*r - 2 What is the g'th term of 35, 31, 27, 23? -4*g + 39 What is the w'th term of 1807, 7224, 16253, 28894, 45147? 1806*w**2 - w + 2 What is the s'th term of -377, -372, -365, -356, -345? s**2 + 2*s - 380 What is the c'th term of -267, -425, -583? -158*c - 109 What is the c'th term of -22, -20, -18? 2*c - 24 What is the d'th term of -105, -215, -327, -441? -d**2 - 107*d + 3 What is the c'th term of 54, 81, 106, 129, 150, 169? -c**2 + 30*c + 25 What is the f'th term of 12, 40, 88, 156, 244, 352, 480? 10*f**2 - 2*f + 4 What is the g'th term of -8, 6, 30, 70, 132? g**3 - g**2 + 10*g - 18 What is the v'th term of 592, 1183, 1774? 591*v + 1 What is the n'th term of 3009, 6023, 9037, 12051, 15065, 18079? 3014*n - 5 What is the x'th term of -105, -120, -161, -240, -369? -2*x**3 - x**2 + 2*x - 104 What is the v'th term of -86, -173, -260, -347, -434, -521? -87*v + 1 What is the m'th term of 10, 28, 44, 58, 70, 80? -m**2 + 21*m - 10 What is the m'th term of 132, 264, 398, 534, 672, 812, 954? m**2 + 129*m + 2 What is the z'th term of -16103, -16107, -16123, -16157, -16215, -16303, -16427, -16593? -z**3 + 3*z - 16105 What is the s'th term of 8, -10, -52, -130, -256? -2*s**3 - 4*s + 14 What is the h'th term of -342, -684, -1026? -342*h What is the k'th term of 8007, 16012, 24013, 32010, 40003, 47992, 55977? -2*k**2 + 8011*k - 2 What is the r'th term of 4312, 4310, 4306, 4300, 4292? -r**2 + r + 4312 What is the k'th term of 1515, 1518, 1521, 1524? 3*k + 1512 What is the i'th term of 215, 427, 639, 851? 212*i + 3 What is the g'th term of -103, -253, -415, -595, -799, -1033? -g**3 - 143*g + 41 What is the d'th term of -32, -37, -44, -53, -64? -d**2 - 2*d - 29 What is the n'th term of -3062, -3067, -3074, -3083? -n**2 - 2*n - 3059 What is the o'th term of -66, -248, -544, -948, -1454, -2056? o**3 - 63*o**2 - 4 What is the p'th term of -67, -117, -165, -211, -255, -297? p**2 - 53*p - 15 What is the v'th term of 558, 557, 554, 549? -v**2 + 2*v + 557 What is the z'th term of 127, 993, 3337, 7897, 15411? 123*z**3 + z**2 + 2*z + 1 What is the i'th term of -51, -46, -37, -24? 2*i**2 - i - 52 What is the f'th term of 105, 100, 91, 78, 61, 40? -2*f**2 + f + 106 What is the z'th term of 94, 164, 222, 262, 278, 264, 214, 122? -z**3 + 77*z + 18 What is the h'th term of 15, 60, 133, 234, 363, 520, 705? 14*h**2 + 3*h - 2 What is the w'th term of -1378, -1375, -1362, -1333, -1282, -1203, -1090? w**3 - w**2 - w - 1377 What is the f'th term of 58, 84, 138, 232, 378, 588? 2*f**3 + 2*f**2 + 6*f + 48 What is the b'th term of -51, -126, -203, -282? -b**2 - 72*b + 22 What is the o'th term of -33, -41, -41, -27, 7? o**3 - 2*o**2 - 9*o - 23 What is the k'th term of -3, -14, -31, -54, -83, -118, -159? -3*k**2 - 2*k + 2 What is the z'th term of 9, 26, 65, 132, 233? z**3 + 5*z**2 - 5*z + 8 What is the l'th term of -62, -130, -198? -68*l + 6 What is the z'th term of 134, 274, 416, 560, 706? z**2 + 137*z - 4 What is the f'th term of 873, 3478, 7821, 13902, 21721, 31278, 42573? 869*f**2 - 2*f + 6 What is the w'th term of -9, -1, 3, 3? -2*w**2 + 14*w - 21 What is the j'th term of 432, 457, 482, 507, 532, 557? 25*j + 407 What is the h'th term of -2394, -2393, -2392, -2391? h - 2395 What is the h'th term of -125, -209, -295, -383, -473? -h**2 - 81*h - 43 What is the o'th term of 26, 90, 190, 326? 18*o**2 + 10*o - 2 What is the w'th term of -663, -2641, -5939, -10557, -16495? -660*w**2 + 2*w - 5 What is the z'th term of -151, -156, -161, -166? -5*z - 146 What is the w'th term of 1040, 1034, 1042, 1070, 1124? w**3 + w**2 - 16*w + 1054 What is the y'th term of -180, -179, -178, -177? y - 181 What is the v'th term of 0, -27, -58, -93, -132, -175, -222? -2*v**2 - 21*v + 23 What is the d'th term of -135, -131, -127? 4*d - 139 What is the p'th term of -83, -105, -127, -149, -171? -22*p - 61 What is the o'th term of -122, -141, -180, -245, -342, -477, -656? -o**3 - 4*o**2 - 117 What is the a'th term of -32, -73, -122, -179? -4*a**2 - 29*a + 1 What is the j'th term of 482, 967, 1452, 1937, 2422? 485*j - 3 What is the j'th term of -128, -141, -152, -161? j**2 - 16*j - 113 What is the l'th term of 11, 16, 23, 32, 43? l**2 + 2*l + 8 What is the n'th term of -26, -43, -84, -161, -286, -471, -728, -1069? -2*n**3 - 3*n - 21 What is the z'th term of 9, 39, 121, 279, 537, 919, 1449? 4*z**3 + 2*z**2 - 4*z + 7 What is the o'th term of 6, 44, 84, 126, 170, 216, 264? o**2 + 35*o - 30 What is the a'th term of -17, -24, -37, -56, -81, -112, -149? -3*a**2 + 2*a - 16 What is the u'th term of 5318, 5320, 5324, 5330? u**2 - u + 5318 What is the f'th term of 1177, 1174, 1171? -3*f + 1180 What is the f'th term of -22, -43, -78, -133, -214, -327, -478, -673? -f**3 - f**2 - 11*f - 9 What is the w'th term of -38, 23, 192, 523, 1070, 1887, 3028, 4547? 9*w**3 - 2*w - 45 What is the j'th term of 16, 27, 64, 1
{ "pile_set_name": "DM Mathematics" }
-6 2/((-440)/460)*-11 23 Calculate (9/(-3))/((-141)/705). 15 Evaluate (-2*(-1)/10)/(5/(450/30)). 3/5 What is (35*(-54)/567)/((-2)/(-36)*-5)? 12 Calculate ((-4)/(-18))/(1469/(-339)). -2/39 What is (3/(24/4))/((-26)/208*22)? -2/11 Evaluate (2/4)/((-5)/8)*(-41)/410. 2/25 (42/4)/3*(8960/196)/40 4 What is the value of 90/(-63)*-4*9/60? 6/7 ((-4368)/(-26))/(-12)*4/40 -7/5 ((-60)/(-84))/((-20)/(-196)) 7 ((-13)/26)/(((-3)/(-4))/((-342)/(-57))) -4 What is the value of ((-18)/(-12))/(21/12*9/168)? 16 Calculate (15/225)/((-7)/(280/(-12))). 2/9 Evaluate (-2*32/88)/(-8). 1/11 What is (9/25)/3*((-3335)/(-29))/23? 3/5 (31/(-465))/(24/900) -5/2 Evaluate 20208/12630*(-3)/8. -3/5 What is (-4)/((144/6)/4)*63/(-3)? 14 What is the value of (-320)/100*3/36? -4/15 What is the value of (24/14)/((-145)/(-203)*8/20)? 6 What is 5*(-8)/(-550)*35/(-518)*-11? 2/37 What is 10/(-4)*((-2)/(-12))/(700/(-2240))? 4/3 Evaluate (38/836*11)/((-42)/4). -1/21 Calculate (1*6*(-90)/240)/(25/20). -9/5 Evaluate (-1)/20*225/(-30). 3/8 Calculate 4/(-8)*((-670)/67)/((-2)/6). -15 Calculate 1/(-9)*288/64. -1/2 What is the value of ((-150)/(-200))/(18/(-168))? -7 Calculate ((-2)/(-2))/(1/(-7)). -7 Calculate (18/105)/((75/5)/75). 6/7 What is the value of ((-2)/(16/(-36)))/(122/(-732))? -27 What is the value of ((5488/(-140))/(-14))/((-4)/5)? -7/2 (-3*-2*(-2)/(-20))/(6177/113245) 11 (-38)/(-3*-6*(-9)/(-162)*2) -19 (-12*(-8)/(-112))/((-16)/112) 6 What is the value of (-22)/3*(-1155)/770? 11 Calculate 17/(-68)*(-144)/(-54). -2/3 Evaluate (-212)/53*(-20)/32. 5/2 Evaluate (4/(-9))/((-764)/24066). 14 What is ((-1932)/(-420))/(3/(-75)*-5)? 23 Evaluate (10/(-18))/(94/141). -5/6 Evaluate (1616/1010)/(12/75). 10 ((-8)/(-192)*-4)/(1/(-27)) 9/2 What is 39*((-4)/24)/(-3*4/(-24))? -13 ((-2)/(-5))/((-14)/(-35)*9/(-6)) -2/3 Calculate (20/(-5))/4*5/(20/(-16)). 4 What is -2*(-28)/104*20/35? 4/13 What is (-1545)/721*14/(-2)? 15 What is the value of (3*4/(-6))/3*(-408)/136? 2 Calculate (1/(-33))/((-26)/4680*-10). -6/11 Calculate (3456/(-640))/(27/180). -36 What is ((-128)/16)/((-30)/45)? 12 What is (152/(-28))/((-140)/490)? 19 Evaluate (152/(1254/(-33)))/26. -2/13 What is the value of ((120/(-175))/4)/((-20)/(-50))? -3/7 Calculate 24/42*2/(-384)*-12. 1/28 What is (50*4/(-16)*-2)/(-1)? -25 Evaluate 6/(-9)*-3*16*45/9120. 3/19 Calculate (((-16)/64)/(25/80))/((-144)/40). 2/9 Calculate ((-4)/11)/(13/((-1287)/54)). 2/3 Evaluate ((-7)/((-1708)/(-6)))/((-29)/((-1740)/(-45))). 2/61 (18/2)/((5/5)/(2/2)) 9 What is (-2)/(2/2)*290/1450? -2/5 Calculate (112/(-224))/(-3*-3*2/4). -1/9 (-14*5/1435)/1 -2/41 What is the value of 24/(-9)*2/(-8)*270/12? 15 What is the value of (495/(-330))/(((-6)/92)/(-1))? -23 Evaluate ((-3)/84)/(((-450)/(-126))/(-25)). 1/4 What is ((-4)/330)/((-134)/(-670))? -2/33 Evaluate (15/(-42))/(27/54). -5/7 What is (-6)/(-20)*((-20)/(-50))/(3/(-5))? -1/5 Evaluate ((-576)/108*6/8)/2. -2 What is (8/42)/(1564/(-2254)*7)? -2/51 What is 20/12*(-1)/(-1)? 5/3 5/(105/(-252))*(-2)/6*2 8 Calculate (10*(-6)/60)/(1/(1/(-9))). 1/9 What is the value of 15/(-54)*3*(-80)/50? 4/3 (11/2)/((-1181)/4724) -22 Evaluate 4*3*-1*90/120*1. -9 Calculate 8/(-10)*(43665/164)/(-71). 3 ((-3)/123)/(31/620*-10) 2/41 ((-14)/12)/((-30)/(-180)) -7 What is (1/13)/(1972/12818)? 1/2 ((-1868)/(-6538))/(1/5) 10/7 Calculate ((-14630)/6270)/((-14)/(-12)). -2 What is (((-28)/(-112))/((-5)/20))/(-1)? 1 (-16)/3*6/(-2) 16 Evaluate (-62)/(-372)*1*(-240)/(-4). 10 Calculate 1/(5/((-150)/190)). -3/19 13/(520/(-144))*(105/(-6))/7 9 Evaluate -1*0/(-3)*(-5)/(-10). 0 Calculate (2/(-9))/((-18)/45*(-205)/328). -8/9 Evaluate (-23)/(-3)*570/190. 23 Evaluate ((-16)/(-16))/((14/119)/(-2)). -17 What is -110*(650/(-26))/(-250)? -11 What is the value of (-2)/(((-264)/10230)/(10/(-25)))? -31 Evaluate (-5)/(10/16*(-16)/48). 24 What is the value of 45/27*(-2592)/(-180)? 24 Evaluate (80/384)/((-25)/(-20)). 1/6 What is -1*1/(-21)*(-266)/76? -1/6 Calculate ((-21)/(-70)*1)/(111/(-518)). -7/5 What is ((-6)/15)/(-2)*1360/(-68)? -4 What is (1/2)/(15/((-7020)/(-18)))? 13 What is (2/49)/(60/420)? 2/7 Evaluate 16/740*(-90)/(-72). 1/37 What is the value of 540/(-216)*(-6)/(-20)? -3/4 Evaluate (24/(-32))/1*352/(-24). 11 Calculate (3/(-18))/(85/510). -1 What is the value of (-18)/(-75)*(280/(-16))/(-7)? 3/5 What is the value of ((-8)/40*5*-10)/(-2)? -5 What is 12/9*(-1)/12*(-579)/(-193)? -1/3 What is (21/16)/((-18)/252*(-168)/16)? 7/4 Calculate 2/(((-494)/65)/(-19)). 5 What is (42/16*-2)/((-66)/264)? 21 3*((-16)/(-544)*17)/((-1)/2) -3 Calculate ((-17)/((-221)/(-26)))/16. -1/8 What is the value of ((-12)/42*(-14)/10)/(30744/(-2440))? -2/63 Calculate (2/((-4)/22))/((-31)/(1705/55)). 11 Calculate 17*114/(-969)*(-2)/((-264)/9). -3/22 What is the value of 28/1*34/17*(-3)/(-12)? 14 What is the value of ((-24)/5)/(-5*10/(-250))? -24 Evaluate (-216)/(-1440)*4/(-9). -1/15 Calculate (24/(-54))/(95/855). -4 Calculate 195/(-3900)*4*-2. 2/5 What is the value of (-13)/(7/(-7))*4/4? 13 Calculate (27/9)/(18/(-6)). -1 Evaluate (396/126)/(((-18)/105)/(3/(-10))). 11/2 Calculate (4*12/(-96))/(2/((-320)/(-5))). -16 Evaluate 122/366*1/(-3). -1/9 Evaluate ((6480/150)/(-36))/((-369)/15). 2/41 Calculate (2/(-6))/(178/(-712)*(-4)/3). -1 What is the value of -42*(-1)/28*-2? -3 What is 6/10*(-4)/(-6)*(-740)/(-2072)? 1/7 What is -18*54/18*(-1)/3? 18 What is the value of ((-270)/(-108))/(5/12)? 6 What is (-3)/21*23/(276/(-36))? 3/7 Calculate (((-3)/(-20))/((-2)/24))/((-1083)/3610). 6 Evaluate 21/6*7400/(-7770). -10/3 What is -2*-5*286/(-220)? -13 Evaluate (((-250)/6)/5)/(220/(-528)). 20 What is the value of -18*(((-63)/(-24))/(-7))/(399/76)? 9/7 Calculate 1*(-4)/(-14)*(-7)/(-5). 2/5 What is (3/17)/(2/(16/(-12)))? -2/17 Calculate (((-105)/(-6))/(-7))/(4/96*12). -5 (120/18)/((-205)/(-738)) 24 Evaluate (132/16)/(((-1935)/30)/(-43)). 11/2 What is the value of 66/11*10/(-150)? -2/5 What is ((-1)/(-1))/(25/11875*19)? 25 What is (-9*(-7)/63)/3? 1/3 What is the value of -2*45/(-6)*(792/(-330))/6? -6 (-1)/((216/1800)/(-3*(-2)/5)) -10 What is 6/4*252/(-357)*(-6)/(-54)? -2/17 (1221/(-666))/((-242)/231) 7/4 ((-300)/(-21250)*85)/(2/120*2) 36 What is (1/(16/(-100)))/(30/(-48))? 10 (10/4400*10)/((2/(-1))/(-24)) 3/11 (120/(-168))/(10/(-70)) 5 Evaluate 28/105*21/70. 2/25 Calculate (368/(-184))/((-1)/((-8)/2)). -8 Calculate 2/(-16*(-18)/2016). 14 What is the value of (-1)/4*(-504)/((-175)/25)? -18 Calculate 28/21*(270/144)/1. 5/2 What is (-1)/(-2)*452/678? 1/3 What is -116*59/(-5133)*78/4? 26 What is (-1)/(-9)*(-18810)/(-110)? 19 What is the value of (((-12)/130)/((-141)/(-470)))/(-2)? 2/13 What is ((-540)/(-240))/(12/(-8))*4? -6 Evaluate (-297)/66*56/21. -12 What is the value of (-1)/((-9)/6)*360/((-80)/4)? -12 (-2065)/(-1239)*((-3)/(-5))/1 1 2*9/(-225)*(-60)/32 3/20 What is (44/66)/((-3)/63)? -14 What is the value of ((-10)/525*-21)/(4/5)? 1/2 Calculate ((-26)/(-286))/(6/44*4). 1/6 Calculate ((-22)/44)/((-3)/(-6)). -1 What is 2*(-3)/2*(-38)/(1064/(-28))? -3 What is the value of ((-6)/(-18)*-18)/(225/125)? -10/3 Calculate 22/(396/21)*4/((-392)/(-18)). 3/14 -3*24/((-1224)/(-187)) -11 28*(-31)/((-21700)/75) 3 (176/(-32))/(((-9)/(-2))/(-9)) 11 What is ((-5)/2)/(840/(-432)*3/14)? 6 What is 1440/432*(-6)/8? -5/2 Calculate (-18)/585*5*(-15158)/212. 11 What is the value of (-18)/(-12)*(-3552)/333? -16 Calculate (-10)/(-5)*-6*(-1)/(-2). -6 What is (-18)/((-1836)/119)*-6? -7 Evaluate (((-48)/(-20))/(21/(-70)))/(18/9). -4 What is ((-2)/12*1)/((-3)/6)? 1/3 What is the value of 1/18*16/(64/(-6))? -1/12 Calculate ((-1)/(100/8)*(-25)/(-60))/(-1). 1/30 What is (-720)/120*1*5/6? -5 Evaluate (((-3680)/60)/46)/(3/(-2)). 8/9 What is the value of 9709/(-6935)*-2*1? 14/5 Calculate (5/((-15)/(-9)))/(414/(-2760)). -20 ((-28)/4)/(((-10)/8)/((-5)/2)) -14 Evaluate ((4480/168)/(-16))/((-10)/72). 12 Calculate ((-6)/26)/((-600)/1040). 2/5 Calculate 6/(-1*54/(-36))*(-1)/34. -2/17 Evaluate ((-9)/(-2)*(-16)/(-144))/((-26)/(-8)). 2/13 ((-117)/312)/((-126)/144) 3/7 What is (175/975)/(14/(-4))? -2/39 What is 15*(-72)/(-27)*7/(-14)? -20 Evaluate -4*39/(-143)*22/2. 12 Calculate (-21)/(-7)*-2*10/42. -10/7 Calculate (36/27)/((-154)/2541). -22 (21/21)/((-3)/30) -10 What is ((-39)/(-5))/(13/(2990/207))? 26/3 What is the value of ((-1)/(12/45))/((-175)/(-840))? -18 Cal
{ "pile_set_name": "DM Mathematics" }
f p. 3, 7, 29 Let l = -862 + 3945. List the prime factors of l. 3083 Let j(s) = s - 3. Let p be j(6). Suppose t - 16 = -p*t. Suppose -3*b + 0*b = -t*i - 25, i = -2*b + 2. What are the prime factors of b? 3 Suppose 3*w - 95 = -5*d + 91, -148 = -4*d - 2*w. Let c = d + -29. What are the prime factors of c? 7 What are the prime factors of -4 + 11 - (-803 - (-6 + 11))? 5, 163 What are the prime factors of 145*(-12 + 8 + 16)? 2, 3, 5, 29 Suppose 12*k - 7047 - 621 = 0. What are the prime factors of k? 3, 71 Let p = -1 - -16. Let i be ((-126)/p)/((-5)/25). Let q = 61 - i. What are the prime factors of q? 19 Suppose -4*f - 27 = -3*j + 5, -j - 16 = 4*f. Suppose -4*p - 6 = 14, -5*p = j*w - 47. Let b = w - 4. List the prime factors of b. 2, 7 Let j be (6 - 7)*(0 - 11). Let v(r) = r**3 - 10*r**2 - 7*r + 1. Let k be v(j). Let u = k - 10. List the prime factors of u. 5, 7 Suppose 8 = 2*t - t. Let r = t - 4. Suppose 0 = -4*q - 3*v + 50, 46 = 5*q - r*v - 1. List the prime factors of q. 11 Suppose 28643 = 9*n + 4721. List the prime factors of n. 2, 3, 443 Let g(a) be the first derivative of -3*a**2/2 + 42*a + 9. List the prime factors of g(13). 3 Let f(c) = -4*c**2 - 6*c**3 + 1 - 3*c + 0*c**3 + 6*c**3 + c**3. What are the prime factors of f(6)? 5, 11 Let d(a) = -a**2 + a. Let m be d(-2). Let w(l) = l**3 + 5*l**2 - 16*l - 7. Let t be w(m). Let p = 115 - t. List the prime factors of p. 2, 31 Suppose -3*r + 131 = 3*m - 52, -2*r - 4*m + 130 = 0. Suppose -5*i = -2*i - r. What are the prime factors of i? 19 Let f(h) = h**3 - 21*h**2 - 15*h + 58. What are the prime factors of f(24)? 2, 23, 31 Let z = -4 + 9. Suppose 4*c + 15 = -t, z*c + 23 = 5*t - 2. List the prime factors of 16/24*(32 + t). 2, 11 List the prime factors of (-9)/((-36)/(-265))*-4. 5, 53 Let s = -1314 + 2235. List the prime factors of s. 3, 307 Suppose 10*b + 2*b = 5916. List the prime factors of b. 17, 29 Let a(b) = -b**2 - 12*b - 11. Let m be a(-11). What are the prime factors of 258/(-9)*-3 + 3 + m? 89 List the prime factors of (-5)/(75/(-9)) - 7404/(-10). 3, 13, 19 Let k = 652 - 391. List the prime factors of k. 3, 29 Suppose 4*y + 15 = v, 2*y = -0*y + 5*v - 3. List the prime factors of -5 + ((-80)/(-2) - y). 3, 13 Let s be 2/(-7) + (-10)/(-35). Suppose 2*h + 6 + 2 = s. List the prime factors of (-1)/h + (-350)/(-40). 3 Let p(d) = -2*d**3 - 6*d**2 + 18*d + 90. List the prime factors of p(-9). 2, 3, 5 Let x = 8873 - 5054. What are the prime factors of x? 3, 19, 67 Suppose -11*z = 6464 - 17970. What are the prime factors of z? 2, 523 Let g = -33 + 36. List the prime factors of (-84)/(-8)*40/g. 2, 5, 7 Let v(d) = -11*d - 2. Let w be v(-2). Suppose -w = -n - 0*n. List the prime factors of n/3 + 7/21. 7 Suppose 5*i = i - 12, -2*g + 3*i + 65 = 0. Let t = 38 + g. What are the prime factors of t? 2, 3, 11 Let r(i) = 9*i**2 - 11*i - 7. What are the prime factors of r(-4)? 181 Let f be 16/(-6)*(-18)/24. Suppose -2*t + 3 = -3*a, 0*a = f*t - a + 3. Let j = t - -25. What are the prime factors of j? 2, 11 Let a = 92 + -115. Suppose -2*q - 24 = -0*q. Let r = q - a. List the prime factors of r. 11 Let g be -8 + 4/(-12)*-9. Let w(c) = 2*c**2 + 9*c + 17. What are the prime factors of w(g)? 2, 11 Let y(l) = 8*l**2 - 9*l - l**3 + 5 - l**2 - 4*l**2 + 7*l**2. What are the prime factors of y(9)? 5 Suppose 45*y - 43*y = 100. List the prime factors of y - (8/28 + 104/28). 2, 23 Let f = -72 - -162. List the prime factors of f - (-2 + 3 - 2). 7, 13 Let s = 255 - -101. What are the prime factors of s? 2, 89 Suppose 4*x + 2*y - 1416 = -3*y, 4*x - 2*y = 1388. What are the prime factors of x? 349 Let g = 85 - 92. Let x(a) = 4*a**3 + 28*a**2 - 4*a + 17. What are the prime factors of x(g)? 3, 5 Let h(a) = 18*a**3 - a**2 + 2*a. Let r be h(2). Let q = 908 + -908. Suppose 2*z = 10, q*x - 3*x + 3*z + r = 0. List the prime factors of x. 53 Let u(b) = 11*b. Let h(n) = 23*n - 1. Let o(x) = -2*h(x) + 5*u(x). Let m(d) = -d**2 - 4*d + 2. Let j be m(-4). List the prime factors of o(j). 2, 5 Let x = -3053 - -6845. What are the prime factors of x? 2, 3, 79 Let d = 518 - -4. List the prime factors of d. 2, 3, 29 Let f(t) = 134*t. Let h be 5 + (-12)/((-9)/(-3)). List the prime factors of f(h). 2, 67 Let p = 1473 + 48. What are the prime factors of p? 3, 13 Let s be 20 - ((-1 - 2) + 6). Let h(g) = -11*g**2 - 6*g - 5. Let b(d) = -32*d**2 - 17*d - 14. Let p(r) = s*h(r) - 6*b(r). What are the prime factors of p(-1)? 2 Suppose -5*h - x + 3713 = 0, -2*x + 854 = 4*h - 2114. What are the prime factors of h? 743 Suppose -7*x + 12268 = 1019. What are the prime factors of x? 1607 Let v(i) = -6*i**2 - 8 + 2*i**2 + 3*i**2 + 5 + 7*i. Let s be v(6). Suppose s*f - 8*f = -75. What are the prime factors of f? 3, 5 Suppose -125 + 58 = -u. List the prime factors of u. 67 Let l(h) = 6*h + 69. List the prime factors of l(13). 3, 7 Suppose 0 = 86*z - 75*z - 1716. What are the prime factors of z? 2, 3, 13 Suppose x + z - 4*z + 8 = 0, 8 = 2*z. Suppose -5*g + 3*v + 25 = 0, -18 = -x*g - v + 19. What are the prime factors of g? 2 Let h = 32 - -758. List the prime factors of h. 2, 5, 79 Let q be (-12)/(-8) - 195/6. Let x = q - -44. Let m(s) = s**3 - 14*s**2 + 17*s - 10. What are the prime factors of m(x)? 2, 3, 7 Suppose -3705 = -1142*d + 1137*d. What are the prime factors of d? 3, 13, 19 Suppose 6 = 2*j, 0*l = -l - 3*j + 9. Suppose 10*k - 10 = 5*k. Suppose k*t + 3*t - 25 = l. List the prime factors of t. 5 Suppose -6*g + 4*g - 2*k = -6, -5*g = -k + 15. List the prime factors of ((-21)/g)/((-48)/(-256)). 2, 7 Suppose -n = n + 22. List the prime factors of -5 - -1 - (n - 36). 43 Suppose 2*m + i + 791 = 0, -1209 = m + 2*m - 3*i. Let u = -215 - m. What are the prime factors of u? 3, 61 Suppose m - 54 - 21 = 0. Suppose 3*n + b - m = -3*b, 3*b = -2*n + 49. Suppose -21 = -r + n. List the prime factors of r. 2, 5 Let h be ((-685)/(-15)*6)/(1 - -1). List the prime factors of h/1 - (-1 + 3 + 0). 3, 5 Let s(k) = -k**3 + 12*k**2 - 18*k - 11. Let t be s(8). Suppose -3*f = -4 - t. List the prime factors of f. 5, 7 Let q(g) = 2*g**2 + 8*g - 13. Let n(t) = t**2 + 8*t - 14. Let u(r) = -4*n(r) + 5*q(r). List the prime factors of u(4). 7, 17 Suppose -j + 4*k = 20 + 58, 4*j - 5*k + 323 = 0. Let u = j - -255. What are the prime factors of u? 173 Let m = 1972 + -1278. Suppose -4*p - 182 = -m. What are the prime factors of p? 2 Let j(s) = 35*s - 97. List the prime factors of j(10). 11, 23 List the prime factors of ((-189)/(-108))/(2/144). 2, 3, 7 Suppose s + 4*d + 9 = 0, -2*s = -0*d + 4*d + 6. Suppose z = s*z. Suppose -2*p + z*p = -30. List the prime factors of p. 3, 5 Let t(n) = n - 1. Let r(f) = 2*f**2 - f - 10. Let o(g) = r(g) + 5*t(g). What are the prime factors of o(5)? 5, 11 Let f = 2285 - 964. What are the prime factors of f? 1321 Let o be 4 + (2/5)/((-14)/(-35)). List the prime factors of (-55)/(-1)*((-14)/o)/(-7). 2, 11 What are the prime factors of 202 - (-2 - 0)*20/(-8)? 197 Let d(q) = 3*q**2 + q - 2. Let o be d(-2). Suppose -3*n + o*n + 370 = 0. Let v = n - -142. What are the prime factors of v? 2, 17 Let n(s) = 6*s + 13. Let q(i) = 9*i + 19. Let j(m) = 8*n(m) - 5*q(m). Suppose -2*y + 4*z + 16 = 0, 5*z - 7 = 4*y - 36. What are the prime factors of j(y)? 3 Let r be -45 + 41 - (-199 + 1). List the prime factors of (r/4)/(3/6). 97 Let t(x) = -x**3 - 13*x**2 - 9*x + 1. Suppose -5*y - 17 - 43 = 0. Let k be t(y). Let n = k + 78. What are the prime factors of n? 43 Suppose 0 = d + 3*o - 1326, -268 = -d + 5*o + 1066. List the prime factors of d. 3, 443 List the prime factors of -1*(-15)/20 - 304430/(-56). 5437 Suppose -5*m - 10 + 0 = 4*y, -5*m = 2*y + 10. Suppose 4*t - 31 = -4*v - t, 0 = -5*v + 4*t + 8. List the prime factors of (m/v)/((-2)/144). 2, 3 Let i be 1/2*((4 - 4) + 20). Suppose i*p = 12*p - 164. List the prime factors of p. 2, 41 Let z(c) = c**3 - 3*c**2 - 4*c + 2. Let d be z(4). Let s = 55 - d. Suppose 4*o - 3*w - s = 0, o = -o - 5*w + 33. What are the prime factors of o? 2, 7 List the prime factors of ((-34)/(-8) + (-21)/28)*158. 7, 79 Suppose 2*c - 4*u - 814 = 0, 6*u + 4 = 8*u. List the prime factors of c. 3, 137 Let j = -12 + 13. Let x(h) = 14*h**2 - 5*h - 6. Let d(o) = o + 1. Let f(g) = j*x(g) + 6*d(g). List the prime factors of f(-1). 13 Suppose -3*q + 10*i - 5*i = -285,
{ "pile_set_name": "DM Mathematics" }
late w. 1, 2 Let h be ((-6)/16)/(1/(-92)). Let i = h - 33. Find q such that -q**2 - 1/2 + i*q = 0. 1/2, 1 Let t(o) be the first derivative of o**6/18 + 4*o**5/15 + o**4/6 - 4*o**3/9 - o**2/2 + 1. Factor t(h). h*(h - 1)*(h + 1)**2*(h + 3)/3 Let p = -6 - -5. Let w = p - -4. Factor 3*z - z - w*z - z**2. -z*(z + 1) Let g(d) be the first derivative of 0*d - 9/5*d**5 + 7 - d**3 - 3*d**4 + 0*d**2. Let g(n) = 0. Calculate n. -1, -1/3, 0 Let l be (-4 + -10 - -7) + 9. Suppose -8/3 - l*r + 2/3*r**2 = 0. Calculate r. -1, 4 Let 0*q**3 + 0*q - 2/11*q**5 - 8/11*q**2 + 0 + 6/11*q**4 = 0. Calculate q. -1, 0, 2 Let v(f) be the first derivative of -7*f**4/20 - 19*f**3/15 - 4*f**2/5 + 4*f/5 + 8. Determine h so that v(h) = 0. -2, -1, 2/7 Let i(y) be the second derivative of -y**7/42 - y**6/15 - y**5/60 + y**4/12 + y**2/2 - y. Let q(j) be the first derivative of i(j). Let q(c) = 0. Calculate c. -1, 0, 2/5 Factor -3*j**2 + 0 - 3/2*j**3 + 3/2*j**4 + 0*j. 3*j**2*(j - 2)*(j + 1)/2 Solve -11/3*p**3 + 0*p + 0 - 2/3*p**2 - 3*p**4 = 0 for p. -1, -2/9, 0 Let 10/9*m**2 + 14/9 + 26/9*m - 2/9*m**3 = 0. Calculate m. -1, 7 Let v(h) = 4*h**2 + 2*h - 5. Let n(t) = 3*t**2 + t - 4. Let a(w) = 3*n(w) - 2*v(w). Factor a(r). (r - 2)*(r + 1) Let v(n) be the second derivative of -n**7/14 + n**6/5 - n**4/2 + n**3/2 - 2*n. Factor v(i). -3*i*(i - 1)**3*(i + 1) Suppose 7*s = 6*s + 5. Let t(v) be the second derivative of -1/9*v**3 + 1/3*v**2 + 0 + 1/30*v**s - v - 1/18*v**4. Factor t(r). 2*(r - 1)**2*(r + 1)/3 Let y(b) be the first derivative of -b**4/3 - 2*b**3/3 - 3*b - 1. Let i(t) be the first derivative of y(t). Let i(l) = 0. Calculate l. -1, 0 Solve -6*x + 28*x**2 + 3*x + 12*x**3 - 21*x = 0. -3, 0, 2/3 Let t(o) be the third derivative of 2/105*o**7 + 0 - 1/84*o**8 + 0*o**5 + 0*o + 0*o**6 + 0*o**3 + 5*o**2 + 0*o**4. Determine u so that t(u) = 0. 0, 1 Let c be (-2)/(-10) + 183/35. Let 16/7*g + 24/7*g**3 + 2/7 + c*g**2 = 0. Calculate g. -1, -1/3, -1/4 Factor 9/2 + 35*x**2 + 93/4*x + 49/4*x**3. (x + 2)*(7*x + 3)**2/4 Determine b so that 1/3*b**2 - 4*b + 12 = 0. 6 Factor 22*m**4 - 56*m**4 + 5*m**2 + 22*m**4 + 17*m**4 + 10*m**3. 5*m**2*(m + 1)**2 Let c(r) be the first derivative of 5*r**4/24 - 2*r**3/9 - 7*r**2/12 + r - 63. Solve c(h) = 0 for h. -6/5, 1 Let g = -29 - -436/15. Let b(p) be the second derivative of -2*p - g*p**5 + 0 + 0*p**2 - 1/6*p**4 + 2/9*p**3 + 1/15*p**6. Solve b(f) = 0 for f. -1, 0, 2/3, 1 Let n(p) be the third derivative of -p**5/24 + 5*p**4/48 - 22*p**2. Factor n(z). -5*z*(z - 1)/2 Let q(n) = n**2 + 7*n - 6. Let o be q(-8). Factor -o*c**4 + 14*c - 2*c**2 + 5*c**2 + 10*c**3 - 21*c**2 - 4. -2*(c - 2)*(c - 1)**3 Let g(a) = -7*a**2 + 23*a - 4. Let z be g(3). Let m(t) be the first derivative of -1 + 1/2*t**z - 1/3*t**3 + 0*t - 1/4*t**4 + 1/5*t**5. What is s in m(s) = 0? -1, 0, 1 Let h(l) = 3*l**2 - 85*l - 299. Let m(u) = 2*u**2 - 42*u - 150. Let n(q) = 6*h(q) - 11*m(q). Factor n(z). -4*(z + 6)**2 Let t(z) be the first derivative of z**9/1008 - z**8/140 + 3*z**7/140 - z**6/30 + z**5/40 + 5*z**3/3 + 4. Let o(v) be the third derivative of t(v). Factor o(d). 3*d*(d - 1)**4 Let b(k) be the second derivative of -6/5*k**5 + 56/15*k**6 - 3/4*k**4 + 0*k**2 + 3*k + 1/3*k**3 + 0. Let b(d) = 0. What is d? -2/7, 0, 1/4 Let f be (-24)/6 - -1*2. Let z be (2 - 5)*f/9. Find d, given that 1/3 + 1/3*d**2 + z*d = 0. -1 Let d(o) = o**2 - o. Let c(r) = 12*r**2 - 5*r + 9. Let w(p) = -4*c(p) + 44*d(p). Factor w(f). -4*(f + 3)**2 Let x = 169 - 167. Find q such that 4/3*q + 2/3*q**x - 2 = 0. -3, 1 What is g in 24/5*g + 26/5*g**2 + 2/5*g**4 + 8/5 + 12/5*g**3 = 0? -2, -1 Solve -2*l**4 + 0*l**4 + 2*l**5 + 2*l**2 + 3*l**3 - l**3 - 4*l**5 = 0. -1, 0, 1 Factor 0*a + 8/9*a**2 + 0 - 4/9*a**4 + 4/9*a**3. -4*a**2*(a - 2)*(a + 1)/9 Let v = 6 - 4. Factor 1 + 0*f**4 + 1 - v*f**4 - 4*f**3 + 4*f. -2*(f - 1)*(f + 1)**3 Let 3*o - 27/2*o**2 + 0 = 0. Calculate o. 0, 2/9 Let m be (-2)/(-4 - -2)*-3. Let a be -1*(3 + m)/(-1). Factor 0 - 2/3*y**2 + a*y. -2*y**2/3 Let l = -21 - -14. Let q = l - -15/2. Suppose 0 + 0*o**2 + q*o**3 - 1/2*o = 0. Calculate o. -1, 0, 1 Suppose 4*y + 2 - 14 = 0. Suppose -5*d + b = -21, -5*d + 26 = -y*b + 3. Find r, given that -2/7*r**3 + 0*r + 2/7*r**d + 0*r**2 + 0 = 0. 0, 1 Let x(t) be the second derivative of t**5/30 + t**4/6 + t**3/3 + t**2 - 2*t. Let v(q) be the first derivative of x(q). Determine y, given that v(y) = 0. -1 Let r(g) be the first derivative of 3*g**6/8 + 39*g**5/20 + 57*g**4/16 + 11*g**3/4 + 3*g**2/4 - 7. Find l such that r(l) = 0. -2, -1, -1/3, 0 Let o(y) be the third derivative of -2*y**7/105 + y**6/3 - 12*y**5/5 + 9*y**4 - 18*y**3 + y**2. Suppose o(w) = 0. Calculate w. 1, 3 Let w(n) = 3*n**3 - 7 - n**4 + 2 + n - n**3 + n**2 - 3*n**3. Let r(l) = -1. Let v = -18 + 13. Let q(c) = v*r(c) + w(c). Find h such that q(h) = 0. -1, 0, 1 Determine v, given that -3/5*v**3 + 3/5*v**2 + 3/5*v - 3/5 = 0. -1, 1 Let u(k) be the second derivative of k**5/40 + k**4/16 + k**2 + 6*k. Let o(b) be the first derivative of u(b). Factor o(t). 3*t*(t + 1)/2 Let l(s) = 3*s**2 - 3*s + 3. Let x be l(1). Suppose 3/5*n**4 + 18/5*n**2 - 12/5*n**x + 3/5 - 12/5*n = 0. Calculate n. 1 Let y(k) = -k**5 - 5*k**3 - 6*k**2 + 6*k + 6. Let c(d) = 2*d**5 + 15*d**3 + 17*d**2 - 17*d - 17. Let n(t) = -6*c(t) - 17*y(t). Factor n(z). 5*z**3*(z - 1)*(z + 1) Let u(z) be the first derivative of 0*z + 1/9*z**2 - 2/27*z**3 - 1. Factor u(s). -2*s*(s - 1)/9 Let l = 122 + -118. Let i(w) be the first derivative of -1/5*w**2 + 0*w + 3 + 1/5*w**l + 0*w**5 - 1/15*w**6 + 0*w**3. Factor i(d). -2*d*(d - 1)**2*(d + 1)**2/5 Suppose -2*n + 4*u - 15 = u, -5*n - 4*u = -20. Suppose n = 3*l - 8*l + 10. Factor 6/5*o**3 + 2/5*o + 0 + 2/5*o**4 + 6/5*o**l. 2*o*(o + 1)**3/5 Let n(f) = -f**5 - f**4 - f**3 - f**2 + f - 1. Let a(w) = -11*w**5 - 11*w**4 + 4*w**3 + 4*w**2 + w - 11. Let k(g) = -a(g) + 6*n(g). Factor k(m). 5*(m - 1)**2*(m + 1)**3 Let g(x) = x**2 + 2*x + 2. Let a be g(-3). Determine o so that -2*o**4 + 3*o**4 + 15*o**5 - 16*o**a = 0. 0, 1 Let l = 4 + -31. Let u = l + 27. Find w such that 2/5*w + u - 2/5*w**2 = 0. 0, 1 Let s(y) = -y - 1. Let o(c) = -5*c**2 - 11*c + 4. Let w(d) = -o(d) + 6*s(d). Factor w(l). 5*(l - 1)*(l + 2) Let p(w) = 5*w**2 - 32*w - 40. Let l(i) = 9*i**2 - 63*i - 81. Let v(x) = -6*l(x) + 11*p(x). Let z(n) = 27*n + 45. Let c(j) = 3*v(j) - 2*z(j). Factor c(s). 3*(s + 4)**2 Let g = 6 + -1. Let a(y) be the first derivative of -1/4*y + 1/6*y**3 + 1/8*y**2 - 1 - 1/8*y**4 + 1/24*y**6 - 1/20*y**g. Factor a(w). (w - 1)**3*(w + 1)**2/4 Let d(y) = -17*y**2 - 7*y**3 + 2*y - 10 - 30*y + 2*y. Let n(z) = 21*z**3 + 52*z**2 + 77*z + 29. Let u(o) = -17*d(o) - 6*n(o). What is h in u(h) = 0? -2, -1, -2/7 Let s be ((-10)/16 + 1)*8. Let 2*v + 2*v**s + 1/2*v**4 + 1/2 + 3*v**2 = 0. What is v? -1 Suppose -2*u = g - 10 - 3, 28 = g + 5*u. Suppose 0 = 5*x - 5*a - 60, 2*x - 12 = -4*a + 2*a. Solve -5*b**g - 4*b**2 + 11*b + 4 + 3*b**3 - x*b = 0 for b. -2, -1, 1 Let m(l) = 5*l**3 - l. Let h be m(1). Suppose h = -n + 3*n. Determine x, given that -2/3*x**n + 2/3 + 0*x = 0. -1, 1 Let c(k) = -k**2 - 12*k + 3. Let u be c(-4). Let z be 2*(-3 + u/11). Let 2/11 + 2/11*q**4 - 4/11*q**5 + 8/11*q**3 - z*q**2 - 4/11*q = 0. What is q? -1, 1/2, 1 Suppose -3*x = -2 + 5. Let f(c) = -4*c - 8*c**2 - 2*c + 4*c - 6. Let r(i) = i**2 + i + 1. Let o(t) = x*f(t) - 6*r(t). Determine q, given that o(q) = 0. 0, 2 Let k(l) be the second derivative of 0*l**2 + 0 - 1/6*l**3 - 3/10*l**5 - 2/15*l**6 - 1/3*l**4 - 1/42*l**7 - 2*l. Suppose k(f) = 0. What is f? -1, 0 Suppose -3*k = -3*w + 6, -5*w + 2*k = 4 - 5. Let g be (18/15)/(w/(-60)). Determine d, given that -d + 2*d**2 + 3*d - g*d**5 - 6*d + 76*d**3 - 2*d**4 = 0. -1, -1/4, 0, 2/9, 1 Let m(s) be the third derivative of -s**5/60 - s**2. Find t, given that m(t) = 0. 0 Let -1/4*l**4 + 1 + 1/4*l**2 + 5/4*l**3 - 2*l - 1/4*l**5 = 0. What is l? -2, 1 Let u(w) = w**4 - 5*w**3 + 2*w**2 + 5*w + 3. Let b(y) = -2*y**4 + 6*y**3 - 2*y**2 - 6*y - 4. Let g(o) = 3*b(o) + 4*u(o). Suppose g(t) = 0. What is t? -1, 0, 1 Find m, given that -6/5*m - 8/5*m**3 + 28/5*m**2 + 14/5*m**5 - 24/5*m**4 - 4/5 = 0. -1, -2/7, 1 Let y(g) = -11*g**4 + 5*g**3 + 13*g**2 - 5*g - 8. Let l(a) = 12*a**4 - 6*a**3 - 12*a**2 + 6*a + 9. Let u(p) = 2*l(p) + 3*y(p). Suppose u(i) = 0
{ "pile_set_name": "DM Mathematics" }
45, -1/2? -1/2 What is the nearest to 2/19 in 0, -14121, 2, -10? 0 What is the closest to -4.4 in -2/5, -0.3, 2, -8.97, 4, 1? -2/5 Which is the nearest to -0.0084? (a) 1/4 (b) -6 (c) 1 (d) 0.025 (e) 18 d What is the closest to 4 in -10, 3, 8418/5, 1, 0.2? 3 Which is the closest to -25? (a) 694.86 (b) 0.2 (c) -2 c What is the closest to 2252 in 0.1, 1, -0.2, 1/4, -1? 1 What is the closest to -0.1 in -1/6, 5/57, 0.79, 3, 4? -1/6 Which is the closest to 2? (a) -1 (b) 31947/5 (c) 1/45 c Which is the nearest to 3? (a) -0.5 (b) -1520 (c) 19 (d) -2/861 d What is the closest to -0.1 in 0.9, 4, -15, -17/7, -0.14? -0.14 Which is the nearest to -7? (a) 4 (b) 1 (c) 1/4 (d) -5 (e) 2142/11 d What is the nearest to -1/102 in 69, -6, -2, 1, 6? 1 What is the nearest to -2 in 2/3, -4, 0.6, 0.1, -4934, -0.5? -0.5 What is the nearest to -0.2 in -14, -428, 1/2, -4, -2? 1/2 What is the nearest to 0 in 2, 73/3, 20, -0.136? -0.136 Which is the nearest to -2/23? (a) -1/3 (b) -418 (c) 0.4 (d) 0.3 (e) -1042 a Which is the closest to -1? (a) 0.03 (b) -3 (c) 1.894 (d) 11 a What is the closest to -2.31 in -4, -25170, -31? -4 What is the closest to 0.0865 in -1/6, 3, 1/326, -0.2? 1/326 What is the closest to -0.3 in 5, -26.77, 9107, 0.3? 0.3 What is the closest to 0 in 2/3, -83, 12561? 2/3 What is the nearest to 2/5 in -3/5, -0.18, 11/17, 0.01, 2? 11/17 What is the nearest to -4 in 8, -2/3, 7.8, 0, -4/7? -2/3 What is the nearest to -15 in 0, -809830, -2? -2 What is the closest to 2/9 in -0.32, 84, 123, -1, 7? -0.32 What is the closest to -3 in 12, -1.2, 6, -1, -2? -2 Which is the nearest to -0.08? (a) 1.3 (b) -1482 (c) -4 a What is the closest to 2/3 in -13, 18, -138/41, 2, 0.2? 0.2 What is the nearest to -1 in -93/1420, 3, -566? -93/1420 Which is the closest to 1? (a) -87/8 (b) 118 (c) 34 (d) 0 d Which is the nearest to 0? (a) -0.05 (b) -0.0911 (c) -503 a What is the nearest to 0 in 0.06, 15, 557, -1? 0.06 What is the closest to 1 in -1.58, 0, -2655, 0.9, -0.2? 0.9 Which is the closest to -0.07468? (a) 0.2 (b) -2/9 (c) 3/67 c What is the nearest to -2 in 36, -0.06, 5, -1, 0.065? -1 What is the closest to 9562.5 in -5, 1/3, -381? 1/3 Which is the nearest to -4? (a) -4 (b) 2 (c) 29 (d) -703 (e) -0.5 (f) 3 a What is the nearest to -0.1 in -3/56, 161, -523, -0.1? -0.1 Which is the closest to -402? (a) 3/4 (b) -0.3 (c) -5 (d) 1/4 (e) -1/56 c What is the closest to -2.8 in -4, 1, 3.4, -0.029? -4 Which is the nearest to -4? (a) 0.4 (b) -1/5 (c) -1 (d) -158046 c Which is the closest to 376197? (a) -0.08 (b) -3/2 (c) -0.3 (d) -1 a Which is the nearest to 0? (a) -1 (b) -0.1 (c) -48979 (d) -7202 b What is the nearest to -4/27 in -4, -88, 1? 1 Which is the nearest to -3411? (a) -149 (b) -4 (c) 0.1 (d) -2/7 a Which is the closest to 2/3? (a) -5 (b) -579/136 (c) -2 (d) -1 d Which is the nearest to -71? (a) 0.5 (b) -1/26 (c) -103252 b What is the closest to 1 in -4/5, -4.3, 16/85, -0.04, -9? 16/85 What is the nearest to -0.1 in 0.5, 14/51, -2, -0.4, -33? -0.4 What is the closest to 2 in 1/6, 1, -4, 5/31, -0.53? 1 Which is the closest to 61? (a) -0.2 (b) -48/7 (c) -0.5 (d) -4/7 (e) -3 a Which is the nearest to 15/2? (a) -14 (b) -1 (c) 0.1 (d) 76.9 c Which is the closest to 0.1? (a) -2/15 (b) 2/11 (c) 1.127 b Which is the closest to -16? (a) 8/9 (b) 3.18 (c) -1/2 (d) 0.02 c What is the nearest to -3 in -0.4, -1, -6562427? -1 What is the nearest to 736 in 0.2, 18, -0.12? 18 What is the closest to -1/2 in 2/7, 0.01, 946, 8, -0.2, 1? -0.2 Which is the closest to 501.4? (a) -27/10 (b) 9 (c) -0.5 b Which is the closest to -4/299? (a) 2 (b) -5 (c) 9 (d) 74 (e) 0.4 e Which is the nearest to -13? (a) -2 (b) -88350 (c) -0.3 (d) -2/7 a What is the nearest to -5/4 in 0.02, 0, 0.7, 5, -158? 0 Which is the nearest to 0.1? (a) -0.046 (b) -0.01 (c) -2/27 (d) 0.4 (e) 2/13 e What is the nearest to -1883 in 2/5, 70, 3/10, 0.5? 3/10 Which is the nearest to -0.1? (a) 0.19 (b) 51 (c) 8/21 (d) -1.1 a What is the closest to -5 in -76, -2/2453, -3? -3 Which is the closest to 1? (a) 5 (b) -5380 (c) -25/9 (d) 4 d What is the nearest to -21.1 in -16/19, 0.292, 0? -16/19 What is the nearest to 1/3 in -519/7, 3/4, -0.4, -1? 3/4 Which is the nearest to 0? (a) 18 (b) 1 (c) -3/1181 (d) -4 (e) 0.8 c What is the closest to 0.1 in 1/58, 37, -3, 10, -4/3? 1/58 What is the closest to -0.1573 in 5, 0.2, 1090? 0.2 Which is the nearest to -3? (a) -208 (b) -2 (c) -1.7 (d) -2/3 (e) -180 b What is the nearest to -0.1 in -2511, -1/4, -14.6, -30? -1/4 Which is the closest to 4? (a) 1/5 (b) -108 (c) -2.2 (d) 2 d What is the nearest to 1/3 in 36, -0.7, -4008? -0.7 Which is the nearest to -1/4? (a) -5 (b) 2/11 (c) 22500 (d) 3/7 b What is the nearest to -6 in 6, -1/10, 2/89, 0.4, -0.08? -1/10 What is the nearest to 2 in 2/5, 0, 16, -0.3, -5136, 1? 1 What is the nearest to 3 in -12/19, -2/60121, 2? 2 What is the closest to 0.4 in 4631, -2, -12, -1/6, 4? -1/6 What is the nearest to -7 in -434, -0.2, -5, 57.1, 3/7? -5 Which is the closest to 2/631? (a) -1.9 (b) 1.69 (c) -4 (d) -5 b Which is the closest to -1/1371? (a) -5 (b) -0.2 (c) -107.7 (d) -9 b What is the nearest to 92.9 in 1/5, -5/47, -0.3, 0.18? 1/5 Which is the nearest to -0.1? (a) 26/7 (b) 0.3 (c) 66494 b Which is the closest to 8? (a) 104 (b) 5 (c) -0.6919 b Which is the nearest to 3/8? (a) -0.1 (b) 3/5 (c) -2/19 (d) -2 (e) -0.07763 b Which is the nearest to 69.8? (a) -0.0179 (b) -3 (c) 1 (d) 3 d Which is the closest to -1? (a) -3 (b) 4/4009 (c) -73 (d) 5 (e) -2 e Which is the nearest to 0.8? (a) -2/5 (b) -0.291 (c) 7 b What is the nearest to 2/7 in -7, -4/3, 235, 1/4, -0.044? 1/4 Which is the nearest to 0.2? (a) 5 (b) -5 (c) 4 (d) 1/17020 (e) -129 d Which is the nearest to -2? (a) -0.07 (b) -2/3 (c) 0.1 (d) -365 (e) 0.02 b What is the closest to 234/19 in 1, 277, 0.022? 1 What is the nearest to -32 in 5, -2, 1/8, -5/7? -2 What is the closest to 1 in 131, -3/5, 29/7? -3/5 What is the closest to -1.19 in 0, -2/9, -0.3, 8/4309? -0.3 What is the nearest to 1/2 in -1/2, -1798.5, 5, 14, 1/3, 0? 1/3 What is the nearest to 51 in -0.5, -1, 3295? -0.5 What is the closest to 2 in -0.3, 2099, 11, -2? -0.3 Which is the nearest to -3? (a) -0.125 (b) -35 (c) -2/3 (d) -4 (e) 0.09 d Which is the closest to 212? (a) -11 (b) 0.106 (c) 3 (d) -3/4 (e) 5 (f) 1 e Which is the closest to 0.1? (a) 14 (b) -2/17 (c) 0.5 (d) -246128 b What is the nearest to -2/3 in 1/4, -347, -765, 3/4? 1/4 Which is the nearest to -4? (a) 2 (b) -1/52 (c) 48 (d) 9 (e) -1/6 e What is the closest to 1/4 in -3, -4, -1/2, 692695? -1/2 Which is the closest to 0.01? (a) -1337 (b) 5 (c) 6 (d) -21 b Which is the nearest to -1? (a) 0.5 (b) -2/3 (c) 0.3 (d) -8/11 (e) -11/4 d What is the nearest to -9 in -6, -4/3, -0.9, -0.085, -1/6? -6 Which is the nearest to -1? (a) -18.2 (b) 1 (c) -84 (d) -32/11 d What is the closest to -0.1 in -3, 28140, 2/9? 2/9 What is the nearest to 2/1851 in 2/11, 15, 1, -1/6, -0.03, 6/7? -0.03 Which is the nearest to -10? (a) 0.4 (b) -1204 (c) 27 (d) 1/6 d What is the closest to -0.35 in 1.33, -4, 2/9, -1/162? -1/162 Which is the nearest to 4? (a) 2 (b) 365806 (c) 2/29 a Which is the nearest to -0.01? (a) -563 (b) 3 (c) 2 (d) 1/8 d Which is the nearest to -1? (a) 0.48 (b) 0 (c) -2.4 (d) 3 (e) 0.109 b Which is the nearest to -3/4? (a) 36.81 (b) 17 (c) 0.5 (d) -2/3 (e) 5 d Which is the nearest to 18? (a) 3 (b) -1 (c) -0.02 (d) -3359 (e) 0 a Which is the nearest to -2/5? (a) 2.7 (b) 1/3 (c) 6514 (d) -1 d What is the closest to 0.4 in 0, -263/6, -1/4? 0 What is the closest to 1/2 in -2/13, -0.0882, -0.06? -0.06 What is the nearest to -0.1 in -1.3, -4, 3, 55931, 0.4? 0.4 Which is the nearest to 1/2? (a) -38854 (b) 2/15 (c) -1/3 b What is the nearest to 7 in 1/200, -17583, -2, 2/7? 2/7 Which is the closest to -3? (a) 1/3 (b) 96 (c) 4547 (d) 0.5 (e) -0.2 e Which is the nearest to 0.2? (a) 0.5 (b) 2/9 (c) -1.31 (d) 5/44 (e) -256 b Which is the nearest to 1/88? (a) -20 (b) -282 (c) 0.3 (d) -0.5 c What is the nearest to -0.173 in -2, -0.749, -5, 4? -0.749 What is
{ "pile_set_name": "DM Mathematics" }
timeter in micrometers? 1875 What is six fifths of a tonne in kilograms? 1200 Convert 822.19 hours to seconds. 2959884 How many months are there in thirty-four fifths of a decade? 816 What is 0.0864094 days in seconds? 7465.77216 How many centuries are there in 0.3234486 millennia? 3.234486 How many millimeters are there in 594.5372cm? 5945.372 What is eleven tenths of a minute in milliseconds? 66000 Convert 4.421317 millennia to centuries. 44.21317 How many nanograms are there in 1/10 of a milligram? 100000 What is 8.83878 kilograms in grams? 8838.78 What is 26/5 of a meter in millimeters? 5200 What is fifty-one quarters of a millimeter in micrometers? 12750 What is 0.5910776 millennia in years? 591.0776 How many meters are there in 1006.797um? 0.001006797 What is 33/5 of a gram in milligrams? 6600 Convert 578782.9 nanograms to micrograms. 578.7829 What is 0.3202557 litres in millilitres? 320.2557 What is 1.203695 centuries in millennia? 0.1203695 What is 6828.523 milligrams in grams? 6.828523 How many decades are there in 45/2 of a millennium? 2250 How many meters are there in three tenths of a kilometer? 300 How many months are there in 859018.8 centuries? 1030822560 Convert 559.4881ng to kilograms. 0.0000000005594881 What is six fifths of a litre in millilitres? 1200 What is 7/6 of a year in months? 14 What is 4/15 of a millennium in months? 3200 Convert 5.948197kg to tonnes. 0.005948197 What is 2.566373 litres in millilitres? 2566.373 How many tonnes are there in 0.961335 micrograms? 0.000000000000961335 How many meters are there in 88542.08cm? 885.4208 Convert 0.5019063 centuries to years. 50.19063 What is 42/5 of a micrometer in nanometers? 8400 What is 92.5742 kilometers in millimeters? 92574200 What is 80019.37cm in millimeters? 800193.7 Convert 86317.63ml to litres. 86.31763 How many tonnes are there in 20143.34 nanograms? 0.00000000002014334 Convert 0.0044143 millilitres to litres. 0.0000044143 What is 9886.4um in centimeters? 0.98864 How many millilitres are there in 6/25 of a litre? 240 Convert 9629.476nm to millimeters. 0.009629476 What is one sixteenth of a kilogram in milligrams? 62500 How many micrograms are there in 3/5 of a milligram? 600 What is 3/8 of a millimeter in micrometers? 375 Convert 1536.047 kilometers to micrometers. 1536047000000 What is three fifths of a millennium in months? 7200 What is 21/5 of a meter in centimeters? 420 How many months are there in 21/8 of a century? 3150 Convert 0.981003 centuries to years. 98.1003 What is 3/40 of a gram in micrograms? 75000 How many millilitres are there in 15/4 of a litre? 3750 Convert 6135.526 minutes to microseconds. 368131560000 How many micrometers are there in 3/40 of a millimeter? 75 What is sixty-seven fifths of a litre in millilitres? 13400 What is 44321.01 millilitres in litres? 44.32101 What is 4891.269mg in kilograms? 0.004891269 How many decades are there in 1/5 of a millennium? 20 How many millilitres are there in 11/4 of a litre? 2750 How many weeks are there in 40.090113ns? 0.0000000000000662865625 Convert 39698.15mg to kilograms. 0.03969815 Convert 931258.9cm to nanometers. 9312589000000 How many millilitres are there in 9/10 of a litre? 900 What is 3785.3277 days in weeks? 540.7611 How many millilitres are there in 7/4 of a litre? 1750 What is 1579.267 millilitres in litres? 1.579267 What is seven halves of a milligram in micrograms? 3500 What is 11/8 of a litre in millilitres? 1375 How many nanometers are there in six fifths of a micrometer? 1200 What is 13947.62ng in micrograms? 13.94762 What is 50.70955 decades in months? 6085.146 Convert 443.07nm to centimeters. 0.000044307 What is 0.9935538nm in meters? 0.0000000009935538 What is 6/5 of a litre in millilitres? 1200 How many nanograms are there in eighteen fifths of a microgram? 3600 What is twenty-one quarters of a gram in milligrams? 5250 What is 1/5 of a litre in millilitres? 200 How many millilitres are there in 480.6399 litres? 480639.9 What is 2532.453 days in seconds? 218803939.2 How many kilograms are there in 17.697ug? 0.000000017697 How many minutes are there in seventy-four thirds of a hour? 1480 What is 2.032985nm in micrometers? 0.002032985 How many micrograms are there in 4.235449kg? 4235449000 What is 17/4 of a kilometer in meters? 4250 Convert 7.881746 micrometers to centimeters. 0.0007881746 Convert 8115.377 seconds to nanoseconds. 8115377000000 How many millilitres are there in 17/4 of a litre? 4250 How many months are there in 55/6 of a century? 11000 What is 0.1061197 meters in micrometers? 106119.7 What is 45154.56 nanoseconds in minutes? 0.000000752576 Convert 842172.2 nanometers to centimeters. 0.08421722 What is 651.2196 nanoseconds in minutes? 0.00000001085366 What is 26030.98 years in centuries? 260.3098 How many kilograms are there in 13/4 of a tonne? 3250 How many millilitres are there in twenty-one quarters of a litre? 5250 What is 12/25 of a litre in millilitres? 480 How many milligrams are there in seven halves of a gram? 3500 What is 13/5 of a gram in milligrams? 2600 How many years are there in 39364.66 decades? 393646.6 How many millilitres are there in twenty-one fifths of a litre? 4200 How many micrometers are there in 3/10 of a centimeter? 3000 What is 144991.5ng in tonnes? 0.0000000001449915 How many centimeters are there in nine tenths of a meter? 90 Convert 17212.13 meters to nanometers. 17212130000000 How many decades are there in 1.0669 years? 0.10669 How many centimeters are there in 0.8918099m? 89.18099 What is 11/8 of a litre in millilitres? 1375 How many kilograms are there in 1/20 of a tonne? 50 What is fourty-four fifths of a meter in millimeters? 8800 Convert 437.7437 centimeters to micrometers. 4377437 How many microseconds are there in 28626.08 minutes? 1717564800000 What is 23/3 of a day in hours? 184 What is one quarter of a micrometer in nanometers? 250 How many litres are there in 55817.97ml? 55.81797 How many millilitres are there in 1527.175l? 1527175 What is 6/5 of a millisecond in microseconds? 1200 What is 24.34463cm in kilometers? 0.0002434463 What is 1506.403l in millilitres? 1506403 How many nanograms are there in 2.515612 micrograms? 2515.612 What is thirteen fifths of a meter in centimeters? 260 What is 26133.405 months in years? 2177.78375 Convert 33506.31 millimeters to nanometers. 33506310000 Convert 72.20682 years to millennia. 0.07220682 How many micrograms are there in sixty-nine halves of a milligram? 34500 What is 1/5 of a decade in months? 24 How many minutes are there in 23.647512us? 0.0000003941252 What is one quarter of a litre in millilitres? 250 Convert 4249.372m to nanometers. 4249372000000 Convert 10.93924 meters to millimeters. 10939.24 How many millimeters are there in 3/5 of a centimeter? 6 What is 1/5 of a gram in milligrams? 200 How many millilitres are there in thirteen quarters of a litre? 3250 How many nanoseconds are there in 2.535506 seconds? 2535506000 How many centimeters are there in 71.23918 meters? 7123.918 How many months are there in seventy-one quarters of a decade? 2130 What is 3/50 of a gram in micrograms? 60000 How many nanometers are there in 6.312562 meters? 6312562000 What is 6.661377 litres in millilitres? 6661.377 What is 87/5 of a litre in millilitres? 17400 What is 2086.203cm in kilometers? 0.02086203 How many millilitres are there in 31/2 of a litre? 15500 What is 66.16131 minutes in microseconds? 3969678600 What is one fifth of a micrometer in nanometers? 200 What is 0.0239195us in nanoseconds? 23.9195 How many milliseconds are there in 8/25 of a second? 320 How many kilometers are there in 0.3416236 meters? 0.0003416236 What is thirteen quarters of a litre in millilitres? 3250 How many millilitres are there in 25/2 of a litre? 12500 How many micrograms are there in fifty-nine quarters of a milligram? 14750 How many kilograms are there in 44229.91t? 44229910 What is 59619.99 micrometers in meters? 0.05961999 What is 28/3 of a minute in seconds? 560 Convert 13.1947 meters to kilometers. 0.0131947 Convert 5.953381 millilitres to litres. 0.005953381 How many litres are there in 861.9537 millilitres? 0.8619537 How many months are there in 21067.79 centuries? 25281348 What is 0.9556735l in m
{ "pile_set_name": "DM Mathematics" }
(base 13) to base 9 1104 What is -5bab (base 13) in base 9? -18727 41424 (base 8) to base 16 4314 What is aa9 (base 14) in base 3? 2220010 111020020 (base 3) to base 10 9645 What is 211 (base 12) in base 14? 177 11022000 (base 3) to base 4 300330 Convert -1868 (base 15) to base 2. -1010010011001 What is -3414 (base 11) in base 4? -1012030 Convert 163 (base 13) to base 8. 372 What is -439 (base 15) in base 3? -1022100 What is -10111001 (base 3) in base 13? -1204 17326 (base 8) to base 7 32005 -5c8 (base 14) to base 13 -6ac What is -11010101100101 (base 2) in base 4? -3111211 Convert -114212 (base 5) to base 12. -25ab What is 687 (base 13) in base 7? 3165 187 (base 14) to base 16 13b Convert 4382 (base 10) to base 13. 1cc1 340bb (base 12) to base 15 157c8 -3232 (base 7) to base 12 -7ba What is 2343124 (base 5) in base 2? 1010101000010011 2113321 (base 4) to base 10 9721 -101002 (base 4) to base 10 -1090 What is -2223012 (base 4) in base 11? -8255 What is -10000000100111110 (base 2) in base 14? -19ddc Convert 100120101 (base 3) to base 13. 3238 What is 1010011011 (base 2) in base 9? 821 Convert -3438 (base 10) to base 7. -13011 What is -10256 (base 8) in base 13? -1c36 11011111211 (base 3) to base 6 1431421 Convert 120a (base 11) to base 9. 2148 Convert 81a (base 15) to base 5. 24300 -1962 (base 12) to base 4 -300122 -348b (base 12) to base 4 -1123223 -2302 (base 10) to base 3 -10011021 129 (base 15) to base 14 14c Convert -1047 (base 15) to base 5. -102232 -10100011000 (base 2) to base 7 -3542 Convert -a35 (base 11) to base 8. -2340 Convert 11101011000100 (base 2) to base 14. 56a8 What is -14106 (base 8) in base 3? -22112011 34aa (base 16) to base 5 412412 What is 100001101110 (base 2) in base 8? 4156 Convert -995 (base 15) to base 4. -201311 11100001 (base 2) to base 15 100 What is 110110000 (base 2) in base 10? 432 -111322 (base 5) to base 3 -12102202 6360 (base 13) to base 14 5035 What is 4a6 (base 14) in base 7? 2466 What is -f1d9 (base 16) in base 12? -2b9b5 -4561 (base 8) to base 2 -100101110001 3212010 (base 4) to base 7 60633 -9a14 (base 12) to base 5 -1021013 What is -3543 (base 7) in base 3? -1210100 5005 (base 7) to base 16 6b8 What is 1360 (base 7) in base 2? 1000010100 106557 (base 8) to base 14 d2a3 -1012032 (base 5) to base 8 -40205 -9435 (base 10) to base 7 -36336 What is 6318 (base 9) in base 10? 4634 dc (base 15) to base 14 10b 689 (base 10) to base 2 1010110001 What is 10846 (base 14) in base 9? 60835 Convert 4023 (base 6) to base 16. 36f What is -101454 (base 6) in base 8? -17752 -2584 (base 12) to base 2 -1000010110100 What is -40200 (base 7) in base 3? -111022100 Convert 6558 (base 10) to base 14. 2566 What is b98d (base 15) in base 4? 21211303 What is -34569 (base 10) in base 12? -18009 -1342 (base 9) to base 14 -522 Convert 1310221 (base 4) to base 12. 43a1 What is 1210 (base 9) in base 7? 2424 What is -120 (base 11) in base 6? -355 Convert -5210 (base 14) to base 8. -33456 -cd0 (base 16) to base 9 -4444 Convert 5743 (base 8) to base 14. 1175 What is -20123 (base 6) in base 2? -101001010011 What is -1100110011010 (base 2) in base 14? -2562 -1001000111 (base 2) to base 12 -407 Convert -51302 (base 9) to base 15. -a01e What is 610 (base 7) in base 10? 301 What is -397 (base 14) in base 11? -5a6 What is -2440 (base 6) in base 8? -1130 Convert -18a (base 16) to base 6. -1454 What is -504 (base 10) in base 13? -2ca What is 17253 (base 9) in base 13? 5535 Convert -12077 (base 8) to base 5. -131213 1311 (base 6) to base 7 652 What is 21242 (base 5) in base 3? 1222121 -2f16 (base 16) to base 14 -4570 19a (base 13) to base 16 128 156471 (base 8) to base 4 31310321 What is -1036 (base 7) in base 8? -562 What is 342 (base 7) in base 8? 261 What is 1246 (base 7) in base 16? 1db -9947 (base 13) to base 6 -242505 -3421 (base 5) to base 14 -26a Convert -21120111 (base 3) to base 12. -3241 Convert 2222113 (base 4) to base 7. 43534 -2103 (base 8) to base 3 -1111102 Convert -1057 (base 16) to base 15. -138d Convert -100110011101001 (base 2) to base 5. -1112224 Convert -27c3 (base 14) to base 13. -327b 4366 (base 9) to base 16 c93 1ac47 (base 13) to base 4 30312022 What is -1120112 (base 3) in base 13? -6a4 What is b (base 14) in base 4? 23 33223 (base 9) to base 5 1201203 252002 (base 6) to base 7 122333 1b (base 15) to base 14 1c What is -624 (base 10) in base 3? -212010 What is 3b3 (base 14) in base 16? 2e9 Convert -621 (base 9) to base 10. -505 Convert -311d (base 15) to base 16. -288a Convert 3752 (base 8) to base 12. 120a 17cb (base 16) to base 7 23521 Convert 242 (base 16) to base 11. 486 What is 103024 (base 8) in base 12? 17a44 What is -55626 (base 11) in base 6? -1421114 Convert -1300042 (base 5) to base 6. -311502 -14a47 (base 12) to base 16 -71d7 What is -45055 (base 9) in base 8? -72363 What is -1010102000 (base 3) in base 2? -101011010010111 1136 (base 14) to base 13 148b What is 1232 (base 7) in base 5? 3324 -8a27 (base 14) to base 11 -16aa0 What is -10045 (base 6) in base 12? -925 1145 (base 8) to base 16 265 Convert -11234 (base 5) to base 6. -3443 Convert -63620 (base 8) to base 15. -7cc7 148 (base 9) to base 8 175 Convert 32a (base 14) to base 10. 626 Convert 120020 (base 3) to base 14. 215 What is -7a0 (base 13) in base 5? -20223 Convert 230 (base 4) to base 2. 101100 15bc (base 14) to base 7 14225 What is 30111 (base 4) in base 9? 1066 Convert -7a8 (base 11) to base 10. -965 Convert -520044 (base 7) to base 9. -144813 Convert 434100 (base 5) to base 16. 3a34 Convert 110000101001 (base 2) to base 12. 1975 Convert -1154 (base 8) to base 13. -389 2130 (base 8) to base 11 921 Convert 104 (base 7) to base 6. 125 -530 (base 6) to base 13 -123 -185 (base 10) to base 2 -10111001 What is -100201 (base 4) in base 6? -4521 What is -68d (base 16) in base 15? -76c 777e (base 15) to base 6 313115 What is 73358 (base 9) in base 11? 3340a Convert 38a4 (base 12) to base 2. 1100100111100 Convert -31312 (base 4) to base 12. -61a Convert c (base 14) to base 11. 11 Convert 110310 (base 4) to base 7. 3612 -2032323 (base 4) to base 16 -23bb Convert 135 (base 6) to base 8. 73 What is 1000110100101 (base 2) in base 8? 10645 Convert 12011000 (base 4) to base 11. 17783 7021 (base 12) to base 3 121121221 What is 1213 (base 10) in base 3? 1122221 -fc2 (base 16) to base 8 -7702 -516 (base 7) to base 10 -258 Convert 5 (base 12) to base 14. 5 2587 (base 13) to base 3 21100011 Convert 212212 (base 5) to base 15. 21dc Convert -20 (base 7) to base 14. -10 -7ac8 (base 15) to base 7 -135662 What is -1605 (base 10) in base 7? -4452 -2b2 (base 14) to base 8 -1044 Convert 330 (base 7) to base 3. 20020 What is -391 (base 11) in base 8? -717 1a2 (base 11) to base 4 3221 What is -6b9 (base 13) in base 7? -3254 What is -1387d (base 14) in base 9? -73256 52027 (base 9) to base 13 127b7 Convert 1237 (base 13) to base 5. 40311 What is 335 (base 14) in base 9? 775 Convert -2024 (base 8) to base 9. -1380 Convert 215220 (base 8) to base 12. 35a40 32221 (base 7) to base 2 1111101000010 -13f (base 16) to base 5 -2234 -25b9 (base 14) to base 10 -6631 What is 20d (base 14) in base 5? 3110 Convert -2055 (base 6) to base 2. -111010011 What is 460c (base 15) in base 5? 433422 185a (base 11) to base 5 33424 Convert -1100202 (base 3) to base 10. -992 Convert -110 (base 9) to base 7. -156 Convert -d86 (base 14) to base 6. -20202 Convert 738 (base 11) to base 14. 476 1010011111001 (base 2) to base 8 12371 Convert 212202 (base 4) to base 16. 9a2 What is -232021 (base 4) in base 11? -2245 Convert -744 (base 9) to base 10. -607 Convert 1061 (base 9) to base 8. 1420 316 (base 10) to base 9 381 What is -650 (base 7) in base 2? -101001001 Convert -25 (base 6) to base 16. -11 -5188 (base 14) to base 6 -144552 1429 (base 11) to base 15 831 3511 (base 9) to base 14 d3c What is -110000100 (base 2) in base 4? -12010 Convert -2776 (base 8) to base 2. -10111111110 Convert -387 (base 10) to base 14. -1d9 What is 11522 (base 10) in base 15? 3632 Convert -10010001010100 (base 2) to base 13. -4305 What is -541 (base 7) in base 4? -10102 6440 (base 7) to base 8 4352 What is 38a (base 16) in base 8? 1612 -11201 (base 3) to base 12 -a7 Convert -675 (base 9) to base 14. -2b8 Convert -300 (base
{ "pile_set_name": "DM Mathematics" }
in 817*c**2 - 818*c**2 + 1 - 1. -c**2 Collect the terms in 15*i**2 + 13*i**2 - i**2. 27*i**2 Collect the terms in 4853042 + 4*x**2 - x**2 - 4853042. 3*x**2 Collect the terms in 4 - 51*c**2 + 0 - 4. -51*c**2 Collect the terms in -2 + 22*a**3 - 14*a**3 - 3 - 9*a**3. -a**3 - 5 Collect the terms in 12*z**3 - z**3 - 10*z**3 - 105*z + 23*z. z**3 - 82*z Collect the terms in -125 + 3*r + 125. 3*r Collect the terms in 27*a - 11*a - 17*a. -a Collect the terms in 31*h + 35*h + 31*h - 124*h + 26*h. -h Collect the terms in -42*o**3 - 17*o**3 + 32*o**3. -27*o**3 Collect the terms in 320*r + 308*r - 633*r. -5*r Collect the terms in 9*h**3 + 0*h**3 - 7*h**3 + 2. 2*h**3 + 2 Collect the terms in -y + 25*y + 13*y - 32*y. 5*y Collect the terms in 5*j**3 + 5*j**3 - j**3. 9*j**3 Collect the terms in -32*w**3 + w**3 + 15*w**3 + 13*w**3. -3*w**3 Collect the terms in -392*t**3 - 394*t**3 + 780*t**3. -6*t**3 Collect the terms in -6*u**3 + 3*u**3 - 6*u**3 + 2*u**3. -7*u**3 Collect the terms in -5*o - 2*o + 4*o - 1. -3*o - 1 Collect the terms in -16*y + 4 - 4 + 15*y + 5*y. 4*y Collect the terms in 6129*d**2 + 6129*d**2 + d**3 - 12258*d**2. d**3 Collect the terms in -103*k**3 - 103*k**3 + 207*k**3. k**3 Collect the terms in -13*a**2 + 3*a**3 - 10*a**2 + 23*a**2. 3*a**3 Collect the terms in 3*y - 258 + 258. 3*y Collect the terms in -736*u**2 + 801*u**2 + 4574*u**2. 4639*u**2 Collect the terms in -35*z + 35*z + 21*z**3 - 106*z**3. -85*z**3 Collect the terms in 4*d - 14*d + 2*d. -8*d Collect the terms in 38*q - 13*q + 6*q**2 - 25*q - 3*q**2. 3*q**2 Collect the terms in 5*j + 19*j + 23*j + 0*j. 47*j Collect the terms in 2*b**2 + 16*b**2 - 7*b**2. 11*b**2 Collect the terms in -52*i**3 + 10 - 5 - 6. -52*i**3 - 1 Collect the terms in 2*j**3 + 5*j**3 - 88 + 88. 7*j**3 Collect the terms in -7*r**3 + 10*r**3 + 12*r**3. 15*r**3 Collect the terms in -1971*f**3 + 978*f**3 + 986*f**3. -7*f**3 Collect the terms in 946 + 4*c**3 - 946. 4*c**3 Collect the terms in 22 - 256 - x + x + 4*x. 4*x - 234 Collect the terms in 131*g - 66*g + 3*g**2 - 65*g. 3*g**2 Collect the terms in -752*q + 752*q + q**2. q**2 Collect the terms in -15*m**3 - 6*m**3 + 7*m**3 - 6*m**3. -20*m**3 Collect the terms in -126*g**3 - 4*g + 125*g**3 + 4*g. -g**3 Collect the terms in c**3 - 6*c**3 + 9*c**3. 4*c**3 Collect the terms in -2*r**3 + 0 - r**3 - 4*r**3 - 3. -7*r**3 - 3 Collect the terms in 2*h + 4 - 2 + 0*h. 2*h + 2 Collect the terms in 13*g**2 - 19 - 25 + 44. 13*g**2 Collect the terms in 29*w**3 - 30*w**3 + 3 + 11*w**3. 10*w**3 + 3 Collect the terms in 63339 - 63339 - 5*a**3. -5*a**3 Collect the terms in -l**3 - 1912*l**2 + 5723*l**2 - 1902*l**2 - 1909*l**2. -l**3 Collect the terms in -14*v**3 + 14*v**3 - 32*v**3 - 104*v**3. -136*v**3 Collect the terms in -4*n**3 + 3 + 7 + n**3. -3*n**3 + 10 Collect the terms in -p**3 - 233 + 233. -p**3 Collect the terms in 142412 - 142412 + 43*w**3. 43*w**3 Collect the terms in 62*r - 118*r + 57*r. r Collect the terms in 275*w**3 - 88*w**3 + 159*w**3. 346*w**3 Collect the terms in -2*p + 4*p + 0*p - 3*p. -p Collect the terms in 13*n + 13 - 13. 13*n Collect the terms in -5132*r**2 + 5132*r**2 - 30*r**3. -30*r**3 Collect the terms in 3*k + 3*k - 2 + 2. 6*k Collect the terms in 2 + 1 - 13*s**2 - 2*s**2 - 4. -15*s**2 - 1 Collect the terms in -19 + 49 - 6*w - 30. -6*w Collect the terms in 175*v**2 - 83*v**2 - 90*v**2. 2*v**2 Collect the terms in -81*c**3 - 75*c**3 + 154*c**3. -2*c**3 Collect the terms in -119*x + 242*x - 123*x - x**2. -x**2 Collect the terms in -7*v - 7*v + 9*v - 4*v. -9*v Collect the terms in 0 - 238*x**2 - 38*x**2 + 0. -276*x**2 Collect the terms in 45*s + 13 - 23 + 10. 45*s Collect the terms in -280 - 37*j + 280 - j**2 + 37*j. -j**2 Collect the terms in 61*j**3 - 123*j**3 + 61*j**3. -j**3 Collect the terms in 88*r**3 + 80 - 80. 88*r**3 Collect the terms in -6*y**2 + 4*y**3 + 2*y**2 + 4*y**2 - 7*y. 4*y**3 - 7*y Collect the terms in 7*v**3 - 12*v**3 + 2 - 2. -5*v**3 Collect the terms in -342*b + 339*b - 3*b**3 + 2*b**3. -b**3 - 3*b Collect the terms in -25*s + 8 - 9 + 0. -25*s - 1 Collect the terms in 779*m**2 - 779*m**2 - 25*m**3 + 26*m**3. m**3 Collect the terms in 188*b**3 - 189*b**3 - 7 + 7. -b**3 Collect the terms in -9*t**3 + 38*t**3 - 19*t**3. 10*t**3 Collect the terms in -124*c**3 - 3*c**3 - 44*c**3. -171*c**3 Collect the terms in 322*v**2 - 158*v**2 - 157*v**2. 7*v**2 Collect the terms in -205*z + 396*z - 197*z. -6*z Collect the terms in 39530*b**2 - 3*b - 39536*b**2 + 3*b. -6*b**2 Collect the terms in -5*x - 8*x + x + 3*x**3 - x**3. 2*x**3 - 12*x Collect the terms in 5 - 4*h**3 + 2*h**3 + 1 + 3*h**3. h**3 + 6 Collect the terms in -8*q - 2*q - 2*q + 13*q. q Collect the terms in -5 - 4*h + 9 + 16. -4*h + 20 Collect the terms in 3*l - 94 + 94. 3*l Collect the terms in -17*k + 6*k + 11*k + 5*k**2. 5*k**2 Collect the terms in 7*h**2 - 12*h**2 + 2*h**2. -3*h**2 Collect the terms in 4*l - 29*l + l + 12*l. -12*l Collect the terms in -1 - 20 + 3 - 2*r**2. -2*r**2 - 18 Collect the terms in 5 + 86*j + 9*j - 26*j. 69*j + 5 Collect the terms in -72*x - 26*x - 23*x + 28*x. -93*x Collect the terms in 193*h**3 + 207*h**3 - 340*h**3. 60*h**3 Collect the terms in 7*m**3 + 6*m**3 + 11*m**3. 24*m**3 Collect the terms in 6*q**3 + 13*q**3 + 7*q**3 - 29*q**3. -3*q**3 Collect the terms in 14*a**3 + 7*a**3 - a**3. 20*a**3 Collect the terms in 2*p**2 + 5*p**2 + 28*p**2 + 2*p**3 - 10*p**2. 2*p**3 + 25*p**2 Collect the terms in -6*m + 4*m**2 + 10*m - 4*m. 4*m**2 Collect the terms in 78*u + 3*u**2 - 159*u - u**2 + 81*u. 2*u**2 Collect the terms in -4*p**2 - p**2 + 2*p**2 + 4*p**2. p**2 Collect the terms in 7*x**2 - 4*x**2 - 3*x**2 - 3*x**3. -3*x**3 Collect the terms in 5*u**2 - 9*u**2 + u**2. -3*u**2 Collect the terms in -304 + 0*t + 0*t + t. t - 304 Collect the terms in -5*o**3 - 2*o**3 + 15*o**3. 8*o**3 Collect the terms in g**3 - 18*g**3 - g**3 + 18*g**3 + 2*g**3. 2*g**3 Collect the terms in 0*n**2 + 4*n**2 - 4*n**2 + 90*n**3. 90*n**3 Collect the terms in 4*u + 13*u - 2*u. 15*u Collect the terms in 30*a**3 - 14*a**3 - 21*a**3 - 2*a + 2*a. -5*a**3 Collect the terms in 12*z**3 - 5*z**3 + 20*z**2 - 11*z**2 - 12*z**2. 7*z**3 - 3*z**2 Collect the terms in 115*v**2 + 2*v - 2*v - 100*v**2. 15*v**2 Collect the terms in -33*h + 70*h - 35*h. 2*h Collect the terms in 0*l + 26*l**2 + 0*l - 38*l**2. -12*l**2 Collect the terms in 4*b**2 + 105572 - 5*b**2 - 105572. -b**2 Collect the terms in l - 4*l**3 - l - 119*l**3. -123*l**3 Collect the terms in 276*p**3 + 290*p**3 - 846*p**3 + 278*p**3. -2*p**3 Collect the terms in -2*n**3 + 2*n**3 + n**3 + 69*n**2. n**3 + 69*n**2 Collect the terms in -162*k - 183*k + 332*k. -13*k Collect the terms in 17 - 17 + 10*p**2 - 23*p**2. -13*p**2 Collect the terms in -8 - 9 + 26 - 11 - 6*m. -6*m - 2 Collect the terms in 13*h**2 - 33*h**2 - 8 + 8. -20*h**2 Collect the terms in 11*o - 7*o**3 - 11*o. -7*o**3 Collect the terms in -55 + 4*k**3 + 55. 4*k**3 Collect the terms in 11*f**2 - 4*f**2 - 2*f**2 - 2*f**2 - 4*f**2. -f**2 Collect the terms in 1 + 0 - 3*p - 4 + 3. -3*p Collect the terms in -45*o + 21*o + 27*o. 3*o Collect the terms in 0*p + 494*p**2 - 983*p**2 + 485*p**2 + 0*p. -4*p**2 Collect the terms in -123*k**2 + 13*k**3 + 123*k**2. 13*k**3 Collect the terms in 264*t - 264*t + 39*t**2. 39*t**2 Collect the terms in -6941*f**2 - 3*f + 6914*f**2 + 3*f. -27*f**2 Collect the terms in -7*n - n - 2 + 27*n. 19*n - 2 Collect the terms in 19*v + 1041 + 1033 + 2*v - 2074. 21*v Collect the terms in 52*h + 2*h**2 - 52*h - h**2. h**2 Collect the terms in -z**3 - 593 + 118*z + 593. -z**3 + 118*z Collect the terms in -54 - 5*v**3 + 54 + 4*v**2. -5*v**3 + 4*v**2 Collect the terms in 513*k**3 + 2 - 1041*k**3 + 509*k**3. -19*k**3 + 2 Collect the terms in 31*s**2 - 3*s**3 - 31*s**2. -3*s**3 Collect the terms in -6 - 2 + 2 + 1 + r. r - 5 Collect the terms in 3*f - f - 119*f**3 + 3*f - 7*f. -119*f**3 - 2*f Collect the terms in 84 - 112 - 269 - 3*o**2. -3*o**2 - 297 Collect the terms in -8 + 18 - 10 + 431*j. 431*j Collect the terms in 234*l + 124*l - 358*l + 3*l**2. 3*l**2 Collect the terms in -19 - 17 + 5*n + 36. 5*n Collect the terms in 127 - 85*l + 43*l + 40*l. -2*l + 127 Collect the terms in -36*g - 42*g + 76*g. -2*g Collect the terms in -51525*h**2 - 51525*h**2 + 103051*h**2.
{ "pile_set_name": "DM Mathematics" }
(u) = u**2 - 2*u - 13. Give m(4). -5 Let z(f) = f**2 + 2*f - 12. Calculate z(-5). 3 Let q(i) = 88*i + 87. What is q(-1)? -1 Let m(v) = 2*v**2 + 2*v - 16. What is m(-4)? 8 Let w(h) = -h**2 - 8*h + 18. What is w(-10)? -2 Let y(i) = i**2 - 3*i - 3. What is y(-3)? 15 Let g(k) = -26*k**2 - 8*k + 5. Determine g(2). -115 Let j(b) = -b**2 - 5. What is j(4)? -21 Let x(u) = 3*u**2 + u + 1. What is x(-1)? 3 Let w(j) = 2*j**3 - 5*j - 3. Calculate w(-2). -9 Let x(b) = b**3 + b**2 - 3*b + 1. Calculate x(-3). -8 Let o(p) = -6*p - 47. Give o(6). -83 Let m(x) = -x**2 - 4*x - 9. Give m(-7). -30 Let v(o) = o**2 - 22*o - 46. Determine v(24). 2 Let q(f) = f - 3. What is q(4)? 1 Let n(u) = -2*u**2 - 4*u + 9. Give n(-5). -21 Let j(h) = h**3 + 15*h**2 - 2*h + 8. Determine j(-15). 38 Let q(l) = 10*l - 1. What is q(2)? 19 Let i(o) = 34*o + 193. Give i(-6). -11 Let t(f) = f**2 - 8*f - 4. Give t(9). 5 Let x(g) = -g**3 - 4*g**2 + 17*g + 11. Calculate x(-5). -49 Let t(w) = -11*w - 32. Give t(2). -54 Let q(t) = 3*t - 24. Calculate q(9). 3 Let q(u) = 3*u + 2. Give q(-2). -4 Let a(q) = 2*q**2 - 28*q + 46. Calculate a(12). -2 Let f(i) = -i**3 - 18*i**2 - i + 10. Calculate f(-18). 28 Let d(q) = q**3 - 4*q**2 - 4*q - 1. Calculate d(5). 4 Let y(v) = 2*v**3 + 4*v**2 - 2*v + 5. Calculate y(-4). -51 Let a(b) = -3*b - 23. Give a(-6). -5 Let v(x) = x**3 + 8*x**2 + x - 6. Give v(-7). 36 Let s(m) = m**2 + 23*m + 135. Calculate s(-10). 5 Let a(w) = -4*w**2 + 8. Calculate a(-5). -92 Let r(h) = -9*h + 14. Calculate r(-3). 41 Let c(f) = -2*f + 6. Determine c(4). -2 Let s(m) = -2*m**3 + 25*m**2 - 14*m + 28. Determine s(12). 4 Let x(g) = -2*g - 9. Give x(-11). 13 Let w(a) = -21*a - 3. What is w(-3)? 60 Let w(v) = -v**2 + 19*v - 16. Give w(20). -36 Let i(t) = 4*t - 7. Calculate i(6). 17 Let g(d) = -4*d**2 + 28*d - 5. Give g(7). -5 Let b(x) = x**2 + 12*x + 4. What is b(-10)? -16 Let t(m) = -3*m - 35. Determine t(-14). 7 Let z(w) = 7*w - 19. What is z(2)? -5 Let j(r) = 5*r + 9. Determine j(6). 39 Let t(c) = c - 48. Determine t(0). -48 Let q(t) = -6*t + 84. Calculate q(15). -6 Let j(i) = i**3 - 7*i**2 - 6*i + 3. Calculate j(8). 19 Let m(u) = 2*u**2 + 15*u - 8. Give m(-8). 0 Let q(o) = 3*o + 66. Give q(-10). 36 Let u(v) = -v**2 - 47*v + 42. Calculate u(-48). -6 Let v(w) = -w**2 + w + 1. Determine v(3). -5 Let n(f) = 5*f**2 - 7*f + 3. Determine n(4). 55 Let g(x) = -x**2 + 6*x + 1. Give g(4). 9 Let a(n) = 4*n + 253. What is a(-64)? -3 Let w(p) = -p**3 - 2*p**2 + p - 3. Give w(3). -45 Let l(p) = -2*p**2 - 30*p - 5. Give l(-9). 103 Let b(p) = -2*p**3 - 15*p**2 - 37*p - 30. Calculate b(-3). 0 Let m(d) = 6*d**2 - 27*d + 26. Give m(1). 5 Let t(f) = -2*f**2 - 15*f + 5. Determine t(-8). -3 Let h(r) = 11*r - 25. Determine h(2). -3 Let c(h) = -h**2 - 4*h - 1. What is c(-4)? -1 Let r(v) = v**3 - 8*v**2 + 16*v - 2. Determine r(5). 3 Let m(y) = -4*y. Calculate m(4). -16 Let i(w) = 13*w - 10. Give i(-3). -49 Let p(q) = 6*q**2 - q + 1. What is p(1)? 6 Let k(i) = -i**2 + 47*i + 5. Determine k(47). 5 Let t(l) = l**2 - 13*l + 17. Determine t(12). 5 Let w(v) = -v**3 + 17*v**2 - 34*v + 65. What is w(15)? 5 Let w(t) = -t**2 + 9*t + 2. Give w(8). 10 Let a(u) = 2*u**2 + 3*u - 13. Determine a(-3). -4 Let k(t) = 3*t**3 + 2*t**2 + t + 4. Calculate k(-2). -14 Let a(p) = 4*p**2 + p + 1. Give a(-1). 4 Let d(g) = 80*g + 208. Give d(-3). -32 Let a(v) = -v**3 + 5*v**2 + 2*v + 6. Determine a(6). -18 Let b(a) = -2*a**3 - 18*a**2 - 3*a - 31. What is b(-9)? -4 Let g(s) = s**2 - 11*s + 21. What is g(10)? 11 Let b(p) = -p**2 + p + 5. Give b(5). -15 Let y(s) = 3*s. Determine y(2). 6 Let m(u) = -u**3 + 5*u**2. Give m(4). 16 Let n(p) = 6*p + 17. Give n(-9). -37 Let r(n) = -59*n - 642. What is r(-11)? 7 Let g(u) = u**2 + 22*u + 42. Calculate g(-19). -15 Let u(q) = -q**3 - 13*q**2 - 9*q + 27. Determine u(-12). -9 Let c(o) = o**2 - o - 3. Calculate c(6). 27 Let n(u) = -u**3 + 7*u**2 + 6*u + 9. What is n(8)? -7 Let p(y) = -5*y - 3. Determine p(2). -13 Let r(p) = p**3 - 6*p**2 - 18*p - 20. What is r(9)? 61 Let w(x) = -x**2 - 24*x + 27. Calculate w(-25). 2 Let d(j) = -j + 70. Give d(56). 14 Let w(i) = i**3 - 19*i**2 - 42*i + 7. What is w(21)? 7 Let l(g) = -5*g + 12. Give l(5). -13 Let c(y) = 17*y + 5. Give c(3). 56 Let g(z) = 3*z**2 - z - 1. Calculate g(-1). 3 Let t(i) = -i**3 - 2*i**2 + 13*i - 8. Calculate t(-6). 58 Let n(a) = 2*a + 11. What is n(-9)? -7 Let z(i) = -3*i - 14. Determine z(-6). 4 Let b(o) = o**3 + 17*o**2 - 20*o - 28. Determine b(-18). 8 Let w(s) = 62*s + 1554. What is w(-25)? 4 Let u(j) = 3*j - 35. Give u(4). -23 Let k(g) = -3*g**3 + 11*g - 9. Calculate k(4). -157 Let k(m) = -13*m - 3. Determine k(1). -16 Let v(m) = 27*m - 100. What is v(4)? 8 Let g(v) = 4*v + 20. Calculate g(6). 44 Let m(s) = -s**2 + 5*s + 10. Calculate m(-6). -56 Let f(u) = -2*u**3 + 28*u**2 - u + 6. Calculate f(14). -8 Let n(z) = 4*z**2 + 9*z - 12. What is n(5)? 133 Let o(r) = 19*r + 66. Determine o(-7). -67 Let r(b) = b**3 + 3*b**2 - 3*b + 12. What is r(-6)? -78 Let m(o) = 5*o - 21. What is m(7)? 14 Let r(k) = -k**3 + 7*k**2 - 2*k + 4. Give r(8). -76 Let i(o) = -o + 1. Give i(2). -1 Let p(x) = -x**3 + 8*x**2 - 7*x + 4. Determine p(6). 34 Let n(m) = m**3 + 3*m**2 - 13*m - 8. Give n(-5). 7 Let h(q) = -2*q**2 + 14*q - 11. Determine h(5). 9 Let o(j) = 13*j + 4. Give o(-2). -22 Let b(g) = -g + 4. What is b(5)? -1 Let n(x) = 171*x + 1712. Calculate n(-10). 2 Let u(n) = -n**2 + 2*n + 1. Give u(-5). -34 Let c(z) = -z**3 - 8*z**2 - 10*z + 2. What is c(-7)? 23 Let i(g) = 2*g - 7. Give i(4). 1 Let n(s) = -s**2 - 20*s - 27. What is n(-18)? 9 Let q(m) = -2*m**3 + 3*m + 1. Give q(2). -9 Let z(n) = n**2 - 9*n - 16. Give z(10). -6 Let u(j) = -j**2 + 97. Calculate u(0). 97 Let p(n) = -n**3 + 15*n**2 - 54*n - 13. Determine p(7). 1 Let d(m) = m**3 + 12*m**2 + 2. What is d(-12)? 2 Let a(o) = 17*o - 363. Calculate a(21). -6 Let c(s) = s**3 + s**2 - s - 7. What is c(0)? -7 Let h(g) = -g + 24. Calculate h(14). 10 Let c(q) = -17*q + 101. What is c(5)? 16 Let q(g) = 2*g**2 - 10*g + 17. Determine q(3). 5 Let y(i) = i**2 - 8*i + 1. Calculate y(7). -6 Let r(f) = -14*f**3 - f**2 + 1. Determine r(1). -14 Let t(v) = 2*v**3 + 18*v**2 - 23*v - 38. Determine t(-10). -8 Let f(z) = -12*z + 54. Determine f(5). -6 Let i(a) = -a**3 - 3*a**2 + 39*a - 18. Determine i(-8). -10 Let p(l) = 14*l - 59. Calculate p(0). -59 Let r(o) = o**3 - 5*o**2 + 2*o - 7. What is r(5)? 3 Let o(r) = -r**2. Give o(4). -16 Let c(z) = 2*z**2 + 3*z - 2. What is c(-3)? 7 Let z(r) = -r**2 - r + 2. Determine z(-3). -4 Let x(l) = 5*l + 1. Determine x(1). 6 Let x(v) = -2*v + 8. Give x(9). -10 Let u(a) = -2*a**2 - a + 7. Give u(-3). -8 Let v(x) = x**3 + 11*x**2 - 11*x + 12. Determine v(-12). 0 Let t(v) = v**2 + 4*v - 5. Determine t(4). 27 Let x(a) = 13*a - 1. Calculate x(-3). -40 Let j(v) = 3*v**2 + 9*v - 30. Determine j(0). -30 Let l(v) = -2*v**2 - 8*v + 16. Give l(6). -104 Let h(f) = -f**3 + f**2 + f - 5. Calculate h(3). -20 Let i(v) = -v + 5. Calculate i(1). 4 Let t(r) = 11*r**3 - 3*r**2 - r + 1. Calculate t(-1). -12 Let c(u) = u - 32. Calculate c(-3). -35 Let k(c) = c + 6. Determine k(-8). -2 Let u(f) = -f**3 - 2*f**2 + 5*f - 3. What is u(3)? -33 Let m(y) = -9*y + 2. What is m(0)? 2 Let g(a) = -2*a - 40. Calculate g(-16). -8 Let b(d) = -2*d**2 + 3*d - 2. Give b(2). -4 Let o(a) = -a**3 - 5*a**2 - 2*a + 12. Give o(-4). 4 Let c(k) = -k**3 - 12*k**2 + k + 1. What is c(-12)? -11 Let q(i) = i**3 - 4*i**2 - 2. Determine q(3). -11 Let l(a) = a**3 - 5*a**2 + a - 4. Determine l(5). 1 Let b(i) = -i**3 + 35*i**2 + i - 35. Calculate b(35). 0 Let s(n) = 10*n - 4. Determine s(2). 16 Let j(q) = 8*q + 28. Calculate j(3). 52 Let z(t) = -t**3 - 7*t**2 + 9*t + 8. Give z(-8). 0 Let z(j) = j**3 - j + 2. Calculate z(2). 8 Let d(k) = k**2 - 3*k - 72. Calculate d(10). -2 Let k(i) = -7*i + 1. Give k(1). -6 Let n(r) = 91*r + 198. Determine n(-2). 16 Let t(c) = 11*c - 15. Give t(14). 139 Let h(v) = 13*v - 1. Determine h(-2). -27 Let f(l) = -7*l**2 - 29*l - 3. What is f(-4)? 1 Let k(w) = -3*w + 13. What is k(4)? 1 Let s(c) = -c**2 + 10*c - 40. Give s(9). -31 Let d(n) = n**3 - 7*n**2 + 4. Calculate d(7). 4 Let c(t) = t**2 - 5*t + 9. What is c(7)? 23 Let a(x) = -92*x + 3. Determine a(-1). 95 Let g(t) = -4*t**3 + 23*t**2 - t + 14. What is g(6)? -28 L
{ "pile_set_name": "DM Mathematics" }
(-2)/(-7) + x/28. Solve s*g + 15 = 3*g for g. 5 Let f(d) = d**3 + 4*d**2 - 7*d - 2. Let h be f(-5). Suppose 9*a - 8 = h*a. Solve z + 3*z + a = 0 for z. -2 Let c(f) = -f**3 + 6*f**2 + 8*f - 7. Let j be c(7). Solve l + j*l + 3 = 0 for l. -3 Let o be -3 + 8/2 - -1. Let y be 8 + 3/(3/(-2)). Suppose 2*m + 2 = m + l, 5*m - l - y = 0. Solve o*k = -m*k for k. 0 Let b(n) = -n + 15. Let c be b(11). Suppose -24 = -c*l - 3*i, 17 = 4*l + 4*i - 11. Solve l*a + 0 = -12 for a. -4 Let g be (9/6)/(1/2). Suppose -g = -4*v + 25. Solve 3*y + 19 = v for y. -4 Let f(x) = x**2 - 6*x - 3. Suppose -3*h - 33 = -3*o + 2*h, 3*o + 3*h - 9 = 0. Let a be f(o). Let y = -2 - a. Solve -5 = 2*v - y for v. -2 Let u be (-4)/(-10) - 6/15. Suppose 3*t - 19 + 7 = u. Solve -t*d = d + 15 for d. -3 Let z(k) be the third derivative of -k**4/24 - k**3 - 3*k**2. Let q be z(-11). Suppose -q*m - 105 = -3*o - 2*o, 2*o + 5*m = 7. Solve 0 = 2*g + 2*g + o for g. -4 Let l(f) = f + 1. Let k be l(3). Suppose -3 - 9 = -4*c. Suppose h = 5*y - 0*h - 4, 3*h = c*y - 12. Solve 2*d + y*d = k for d. 2 Let v = -1 - -3. Solve -h - v = 3 for h. -5 Let x(o) be the first derivative of -o**2/2 + 9*o + 2. Let l be x(5). Solve 7 + 5 = -l*p for p. -3 Suppose 3*j + 5*z - 16 = 0, 4*j - z - 2*z = 2. Solve j*d + 3 - 7 = 0 for d. 2 Suppose -p = 3*j + p - 9, -5*p - 35 = -4*j. Solve 0*b + j*b = -15 for b. -3 Suppose z + 3*z - 32 = 0. Let k = 12 + -7. Let v = z - k. Solve v + 2 = -5*t for t. -1 Let s(p) = p**2 - 6*p + 3. Let q be s(6). Let b = 5 - q. Suppose -b*r - 6 = -5*r. Solve -r*n + 2 = 12 for n. -5 Let h(x) = x**3 + 7*x**2 - 9*x - 6. Let y be h(-8). Solve y*a - 3*a + 1 = 0 for a. 1 Let d be 2 + -2 + 2 + 0. Solve -b + d + 3 = 0 for b. 5 Suppose -9*c + 5*c + 56 = 0. Solve 5*h - c = 1 for h. 3 Suppose 2*y + 1 = 9. Let o(b) = -2*b**2 + 13*b - 5*b**2 - 15*b + 5*b**2 - 1 - b**3. Let x be o(-1). Solve y*s = -8 - x for s. -2 Let t be (1/2)/((-2)/4). Let p = 5 + t. Solve 0 = 5*q - p - 1 for q. 1 Let i be 26/39 - (-2)/6. Suppose i + 5 = 3*w. Solve -w = -2*n + 2 for n. 2 Let o = -5 + 9. Let l(z) = -z - 7. Let d be l(5). Let w(m) = m**2 + 11*m - 4. Let j be w(d). Solve o*g = 2*g + j for g. 4 Let i be 2/10 - (-6)/(-30). Let u be 10/((-1)/((-12)/8)). Solve 0 = -3*k - i*k - u for k. -5 Suppose -83 = -2*p - 4*z - z, 4*p - 124 = 4*z. Suppose 4*b - 4 = -4*q, -3*b + 2*q + p = b. Solve 10 = c - b*c for c. -2 Suppose 4*a + 3*t - 21 = 8*t, -4*a = t - 15. Solve -4 = -a*s - 0 for s. 1 Suppose -2*s = 5*l + 2*s - 140, -3*l = 5*s - 97. Suppose 0 = d - 3, 0*t + 4*t - l = -4*d. Suppose 6 = 5*b + 2*y - 23, 6 = t*y. Solve 0 = h + 4*h - b for h. 1 Let p = 11 - 6. Suppose -p*w + 3 = 3*g - 1, -2*w + 3*g = -10. Let z = -2 + w. Solve 2*d + 2 - 12 = z for d. 5 Let h(c) = c**3 - 9*c**2 + 17*c - 15. Let b be h(7). Solve 4*m = -b + 2 for m. -1 Let a(f) = 2*f - 16. Let m(j) = -1. Let u(y) = -a(y) + 4*m(y). Let v be u(4). Solve -o = -2*o - v for o. -4 Let v = -35 - -39. Solve 12 = v*y + 4 for y. 2 Suppose 0 = 6*n - 23 - 13. Solve -3*a - n = -a for a. -3 Let x(j) = -j - 1 + 0 - 2*j**2 - j**3 + 3*j**2. Let v be x(-1). Solve v*z + 3*z + 5 = 0 for z. -1 Let k be -1*(1 + -1*1). Let u(h) = -h - 1. Let o(f) = 5*f + 6. Let y(p) = -o(p) - 6*u(p). Let c be y(k). Solve c = -2*m + 5*m for m. 0 Let x(k) = 4*k + 10. Let h be x(-7). Let o = -16 - h. Solve -6 = o*r - 0*r for r. -3 Suppose -2 = -3*l - 5*i + 3*i, 0 = -2*i - 10. Let h(o) = -4*o - 1. Let t be h(-1). Let f = l - t. Solve -3*w = -10 + f for w. 3 Let t be 6 + (2 + 1)/(-3). Let p(h) = h**3 + 11*h**2 + 10*h + 7. Let j be p(-10). Let q be 85/7 - 1/j. Solve -t*m = -2*m + q for m. -4 Suppose -3*a - a + 12 = 0. Suppose 4*r - 6 = 2*x, r + 0*x - 5*x = -a. Suppose 5 + 1 = r*d. Solve o + 6 - d = 0 for o. -3 Let c = -3 + 10. Let z(q) = -5*q + 0*q**2 + 0*q**2 + q**2 - 9. Let r be z(7). Solve r*u = -27 + c for u. -4 Suppose 12 - 30 = -3*j. Solve -j = 2*a + 2 for a. -4 Suppose 0 = u + 2*u + 2*u. Solve u = -3*q - 2*q for q. 0 Suppose 3*u - 24 = -u. Let w = u - 3. Suppose 4*a = w*a + 15. Solve 0*n = 5*n - a for n. 3 Suppose 3*c - 19 = -2*p - 5, 4*c - p = 26. Solve 11*d = c*d - 5 for d. -1 Let s be 22 - (0 - -1)*2. Solve 8*m - 3*m + s = 0 for m. -4 Let s = -76 - -96. Solve -4*t + s = -8*t for t. -5 Suppose 4*y + 5*k = 31, -11 - 8 = -y - 5*k. Let q(g) = g**3 - 5*g + 0*g**3 + g**2 + 2*g**2 - y. Let p be q(-4). Solve 5*v + 5 = -p*v for v. -1 Suppose i - d - 4 = 3, 4*d = -i - 18. Let j = 13 + -11. Solve 0 = i*a + j*a - 20 for a. 5 Let f = -24 + 28. Solve 0 - 4 = f*o for o. -1 Suppose -4 = 4*l - 4*h + h, h = 4. Solve c - 3*c = l for c. -1 Let j be (-2)/3 + 124/6. Suppose k - j = -3*k. Solve -3*w + k*w = 8 for w. 4 Let x be (3 + -3)/(1 - 4). Let z = -1 - -3. Suppose -2 = -3*r + 1, 5*g - 3*r - 57 = 0. Solve x = z*k + k - g for k. 4 Let h be ((-3)/4)/((-6)/(-144)). Let f be 2/(-3)*h/4. Solve a + f*a + 8 = 0 for a. -2 Suppose 3*s + 52 = l, 0 = 4*s - s - 3*l + 54. Let o = -12 - s. Solve 0 = o*v - 2 + 7 for v. -1 Let s(m) = -m**2 + 12*m + 2. Let p be s(12). Solve 4*c - p*c = 10 for c. 5 Suppose 3 = i + 1. Suppose -6*q = -2*q + 20, 4*q + 8 = -3*l. Suppose 3*b = 5*a - l, 4*a - 5*b + 2 + 0 = 0. Solve i = h - a for h. 4 Suppose 5*y + 5*b = -15, 5*y - 3*b = 3*y + 9. Solve 0 = 2*k - y*k - 10 for k. 5 Let d(a) = -a**3 + 4*a**2 + 5*a + 1. Let z be d(5). Let o = 3 + z. Solve -o*l + 13 = 1 for l. 3 Suppose -4 = -2*g + 26. Let w(f) = 4*f**2 - 5*f - 10. Let j(k) = -5*k**2 + 5*k + 10. Let l(a) = 3*j(a) + 4*w(a). Let u be l(7). Solve g = u*s + s for s. 3 Let j be (27/(-15))/((-6)/20). Solve 2*h = -h - j for h. -2 Let t(x) = x**2 + 11*x + 13. Let h be t(-10). Let z(o) = o**2 - o + 2. Let q be z(h). Let k = 17 - q. Solve 7 = 4*a - k for a. 4 Let s be (3 + -2 + 3)/2. Suppose -5*b + 6*b - 4 = 0. Let q be s/b*0/3. Solve q = -4*c + 6*c + 2 for c. -1 Let o(u) = u**2 - 4*u - 8. Let r be (-11)/((-33)/18) + 0. Let l be o(r). Solve -l*s + 15 = 3 for s. 3 Suppose 3*z = 3*v - 2*v + 5, v + 4*z - 16 = 0. Let b be 0/(2*(1 + 0)). Suppose b = -m + 4 - 2. Solve v*u - 10 = m*u for u. 5 Suppose 24 = 7*o - 3*o. Let i = o - 1. Solve i*z = -0*z - 20 for z. -4 Let s be (-5)/(10/(-4)) + 2. Let k = -6 + s. Let f be -1 + 0 - 12/k. Solve f + 1 = 2*v for v. 3 Suppose -6*j + 2*j - 20 = -5*g, -2*g = -3*j - 8. Solve -2*a + 10 - 2 = j for a. 4 Let l(g) = 10*g**2 + g. Let h = 8 - 7. Let p be l(h). Solve p = -4*u + 27 for u. 4 Let x be (0 + -5 + 5)/2. Solve 0 = 2*v - x*v - 10 for v. 5 Suppose -5*u + 5*p = -60, u + u - 26 = 3*p. Solve -2 - u = -4*n for n. 3 Suppose -3*x = -5*x - 4*a, -2*a = -x. Solve -3*n + 0*n - 15 = x for n. -5 Suppose 3*y - 10 = 5*q, -3*y - 10 = -2*q - 14. Solve m - 10 + 6 = y for m. 4 Let i(b) be the third derivative of -b**4/24 + 5*b**3/6 - 2*b**2. Let d be i(5). Suppose d = -v + 3*v - 8. Solve v*s + 5 = -s for s. -1 Let t = 3 - 3. Suppose p + 5*m - m - 3 = t, -3*m - 17 = -2*p. Solve 3*u - p = 5 for u. 4 Suppose 4*x = -2*s - 8, 6*s = 3*s - x + 13. Solve -i - s = i for i. -3 Let b(i) = -i**2 - 6*i - 6. Let u be b(-4). Let z be (3/(-2))/((-1)/10). Let k be (-4)/10 - (-21)/z. Solve -u*w + 3 = -k for w. 2 Let m(t) = 4 + 6 + 5 - 12 + t. Let q be (-2)/(-1*(-2)/(-3)). Let y be m(q). Solve 3*g - y = 5*g for g. -3 Let n = 50 - 45. Solve 0 = -0*k - n*k + 20 for k. 4 Let x = 200 - 200. Solve x = -4*d - 11 + 23 for d. 3 Let z(u) = -u**2 + 4*u - 3. Let l be z(6). Let h = 18 + l. Solve -h*b = -b - 2 for b. 1 Suppose 0*p + 16 = 2*p. Let z(v) = -v - 1. Let f be z(-4). Let r be f/(6/p) - 2. Solve u + r = -0 for u. -2 Let u be 4/10*(-10)/(-1). Let o be (-43)/(-9) - u/(-18). Suppose 0 = 3*a - 0*z + 2*z + o, 0 = -a + 3*z + 13. Solve a = 3*c + 4 for c. -1 Suppose 2*a = -4*t + 28, 2*t - 6*t = -4*a + 44. Suppose 12*r = r. Solve r = -0*j + 3*j + a for j. -4 Suppose 4*k - 16 = 0, 2*c + 7 = 3*k + 3. Solve 6 = -2*l - c for l. -5 Suppose 7*y = -5*y + 48. Solve 0 = -l + y*l - 9 for l. 3 Suppose i - 4 + 10 = 0. Let d = 8 + i. Solve 0 = -v + d*v + 1 for v. -1 Let j = -7 + 10. Solve b = j*b for b. 0 Let n be (1 + 9/6)/((-3)/(-6)). Solve -n*j + 22 + 3 = 0 for j. 5 Let v(z) = -z**3 + 5*z**2 - 4*z - 1. Let n be v(3). Let y = -32 - -32. Solve 0 = n*i - y*i - 15 for i. 3 Suppose c = 4*g - 13, -3*c + 5*g = 2*g + 3. Solve 5*v = c*v + 4 for v. 2 Let x = -2 - -2. Solve 2*v - 5*v + 6 = x for v. 2 Suppose
{ "pile_set_name": "DM Mathematics" }
) = -9*m**2 - m - 152. Let y(n) = 48*n**2 + 6*n + 757. Give -11*f(j) - 2*y(j). 3*j**2 - j + 158 Let x(b) = -3*b**3 - 5 - b + 2*b - 4*b**2 + 2*b. Let c(h) = 260*h + 6249. Let t be c(-24). Let w(z) = -6*z**3 - 9*z**2 + 7*z - 11. Calculate t*x(g) - 4*w(g). -3*g**3 - g - 1 Suppose 7*r - 28 = -0*r. Suppose -r*c = a - 8 - 1, -5*a = 15. Let b(s) = s**2 - s + 1. Let j(p) = 7*p + 5 - 2*p**2 - 11 + 5. What is c*b(k) + j(k)? k**2 + 4*k + 2 Let q(o) = 2309*o**2 - 38*o - 84. Let b(v) = -1540*v**2 + 26*v + 60. Calculate 7*b(x) + 5*q(x). 765*x**2 - 8*x Let i be (-1 - -14) + (22 - 25). Let x(t) = -12*t**2 - 10*t. Let d(p) = 4*p**2 + 3*p. Suppose f - 3*f - 12 = 0. Let v = 9 + f. Determine i*d(g) + v*x(g). 4*g**2 Let q(d) = d - 6. Let l be (-150)/(-45)*(-2 - 28). Let f be (-1)/(4*(-5)/l). Let h(a) = a - 4. Give f*q(j) + 8*h(j). 3*j - 2 Let j be (-4)/(2/(-4) - (-12)/8). Let l(q) = 10*q - 8*q - 12*q. Let z(d) = 11*d. Give j*l(a) - 3*z(a). 7*a Suppose 0 = -81*s - 11*s + 166 + 202. Let c(i) = i - 16. Let d(j) = j - 17. Calculate s*d(r) - 3*c(r). r - 20 Let w(u) = -422*u - 43. Let o(q) = 420*q + 49. Give -8*o(s) - 9*w(s). 438*s - 5 Let g(k) = -17*k**3 + 6*k**2 - 97*k - 1. Let i(c) = -c**2 + 3*c. What is g(l) + 6*i(l)? -17*l**3 - 79*l - 1 Let z(o) = 56*o**2 + 19*o - 560. Let i(a) = 3*a**2 + a. Determine -38*i(x) + 2*z(x). -2*x**2 - 1120 Let j(i) = 665 + 667 - 1332 + 30*i**2. Let h = -9 + 5. Let d(a) = 3*a**2. Give h*j(v) + 42*d(v). 6*v**2 Let v(w) = 9*w**3 - 8*w**2 - 19*w - 350. Let r(i) = i**3 - i**2 - 2*i - 1. Determine 8*r(a) - v(a). -a**3 + 3*a + 342 Let p(q) = 3*q**2 + 14*q + 26. Let t(b) = -b**2 - 3*b - 1. Determine -p(v) - 5*t(v). 2*v**2 + v - 21 Let n(k) = -55*k**3 + 7*k**2 - 14*k - 22. Let o(c) = 27*c**3 - 4*c**2 + 8*c + 12. What is 4*n(g) + 7*o(g)? -31*g**3 - 4 Let f(a) = 7*a**2 + a + 4. Suppose 102*q + 39 = -28*q + 429. Let h(v) = 21*v**2 + 3*v + 11. What is q*h(p) - 8*f(p)? 7*p**2 + p + 1 Let o be (12/30)/(2/20). Let i(a) = 2*a - 2. Let v(r) be the first derivative of 3*r**2/2 - 3*r - 3586. Calculate o*v(f) - 7*i(f). -2*f + 2 Let x(l) = -3*l**2 - 17*l + 7. Let b(z) be the second derivative of z**4/12 + z**3 - z**2 + 9704*z. Suppose 0 = 4*a + 7 + 21. Determine a*b(h) - 2*x(h). -h**2 - 8*h Let s(d) = 992411*d + 2*d**2 + 992410*d - 3 - 1984818*d. Let n(f) be the third derivative of f**5/60 + f**4/24 - 7*f**2. Determine 3*n(h) - s(h). h**2 + 3 Let t(c) = 2973*c**2 - 4*c - 4. Let i(r) = -8900*r**2 + 11*r + 11. What is 4*i(m) + 11*t(m)? -2897*m**2 Let b(w) = w - 3. Let l(y) = 306*y - 8 + 303*y - 606*y. What is 17*b(z) - 6*l(z)? -z - 3 Let m(o) = 7*o**3 - o**2 - 3*o + 5. Let c(b) = b**3 + 1. Let t = 2597 + -2592. Give t*c(i) - m(i). -2*i**3 + i**2 + 3*i Let c = -11756 + 11751. Let n(u) = 38*u**3 - 5*u**2. Let y(j) = -19*j**3 + 2*j**2. What is c*y(h) - 2*n(h)? 19*h**3 Let t(v) = 8*v + 6. Let j(u) = -17*u - 13. Suppose 3*q = -1 + 4. Suppose o = -h - 11, o + h + q = 2*h. Let l be 2*(-3)/(o/(-4)). Give l*j(f) - 9*t(f). -4*f - 2 Let x(m) = m**3 - 5*m**2 - 4. Let n(r) = -2 - 2 + 5. Let f = 128476 + -128472. Determine f*n(l) + x(l). l**3 - 5*l**2 Let c(r) be the third derivative of -r**4/6 - 4*r**3 - 4*r**2 - 165*r - 3. Let j(u) = 5*u + 25. Determine -3*c(p) - 2*j(p). 2*p + 22 Let a(i) = -1282203*i**2 + 7605*i - 2535. Let b(o) = 1012*o**2 - 6*o + 2. Calculate 2*a(c) + 2535*b(c). 1014*c**2 Let g be (-2)/(-13) + 126/26. Let i(l) = -2*l - 9. Let m be 2/8 - (4/20)/((-8)/110). Let s(n) = n + 5. Give g*s(v) + m*i(v). -v - 2 Let w be -7 - (-4 - -1) - (-2 + 0). Let a(k) = -3*k - 80 + 64 + 13. Let l(b) = b**3 - 16*b - 15. Determine w*l(z) + 11*a(z). -2*z**3 - z - 3 Let c(h) = 7*h + 118. Let z(q) = -14*q - 237. What is -11*c(r) - 6*z(r)? 7*r + 124 Let j(l) = 2*l - 11. Let r(p) = 2*p + 861. Let t(x) = x + 302. Let y(b) = 6*r(b) - 17*t(b). Calculate 11*j(d) + 4*y(d). 2*d + 7 Let b(u) be the third derivative of 5/8*u**4 + 0 + 0*u + 0*u**3 - 3*u**2. Suppose -11*r - 16*r = 189. Let o(g) = 7*g. Calculate r*o(c) + 3*b(c). -4*c Suppose -3*u = 4*a - 6, 0 = -3*a + 5*a. Let o(n) = 5 + 1 + 7 - 3 - 1 - 7*n**u + 6*n. Let g(p) = -3*p**2 + 3*p + 4. Give -9*g(x) + 4*o(x). -x**2 - 3*x Let h be -6*(13 + (-474)/36). Let b(s) = -s - 1. Let f(r) = -7*r - 3. Determine h*f(v) - 6*b(v). -v + 3 Let k(t) = 3*t - 13. Let l(n) = 2*n - 13. Suppose -49*q - 38 = -2*g - 45*q, -3*g - q + 8 = 0. Give g*l(d) - 4*k(d). -2*d - 13 Let b(n) = -14*n + 202. Let r be b(14). Let w(j) = -j. Let p(u) = 11*u + 4. Let x(y) = 14*y + 5. Let a(s) = -4*p(s) + 3*x(s). Determine r*w(d) - a(d). -4*d + 1 Let s be -2 + (19 - (-4)/(-2)). Let c(v) = 12*v**2 + 15*v. Let r be 0 + (2 - 6) + 11. Suppose -m = 3 - r. Let g(o) = -3*o**2 - 4*o. Calculate m*c(l) + s*g(l). 3*l**2 Let j(o) = 7*o**3 - 15*o**2 + 30*o - 4. Let r(l) = 16*l**3 - 32*l**2 + 57*l - 9. Give 9*j(b) - 4*r(b). -b**3 - 7*b**2 + 42*b Let a(f) = -34*f - 4. Suppose -14 = 22*d - 28*d + 100. Let w(j) = -171*j - 19. Calculate d*a(r) - 4*w(r). 38*r Let n(f) = -435*f**2 + f - 4. Let c(k) = -869*k**2 + 2*k - 7. Give 3*c(z) - 5*n(z). -432*z**2 + z - 1 Let o(w) = -4*w**3 + 3*w**2 - 2*w + 5. Let g(r) = -2*r - 7*r**3 - 4*r + 9 + 3*r + 5*r**2. Let k = -1809 + 1812. Determine k*g(c) - 5*o(c). -c**3 + c + 2 Let w(u) = 4*u - 2. Let k(b) = 12*b - 6. Let h(d) = d**3 + 4*d**2 - 4*d + 13. Let r = 124 - 129. Let f be h(r). Give f*w(g) - 3*k(g). -4*g + 2 Let f(b) = -4*b**3 + b**2 + 2*b. Let r(h) be the third derivative of h**6/30 - h**5/60 - h**4/12 - 10522*h**2. Calculate -3*f(g) - 2*r(g). 4*g**3 - g**2 - 2*g Let f(y) = -262*y**3 - 22*y**2 - 5*y - 4. Let v(d) = -261*d**3 - 17*d**2 - 4*d - 3. Give -3*f(k) + 4*v(k). -258*k**3 - 2*k**2 - k Let a(d) = -9*d - 15. Let y(u) = -u**2 - 9*u - 13. What is -4*a(j) + 5*y(j)? -5*j**2 - 9*j - 5 Let o(l) = 4*l**2 + 63*l + 48. Let u(v) = v**2 + 13*v + 10. Let n(q) = -4*o(q) + 19*u(q). Let i(h) = -9*h**2 + 14*h + 6. Give -4*i(r) - 11*n(r). 3*r**2 - r - 2 Let n(k) be the third derivative of -k**6/120 + k**5/60 + k**4/24 - 2022*k**2. Let i(m) = -4*m**3 + m**2 + m + 1. What is -2*i(q) + 2*n(q)? 6*q**3 - 2 Let r(h) = 75*h**2 - 705*h - 705. Let j(o) = 7*o**2 - 65*o - 64. Calculate 65*j(f) - 6*r(f). 5*f**2 + 5*f + 70 Let n(u) = -117*u**2 + 22*u + 3. Let m(d) = -584*d**2 + 113*d + 16. Give 2*m(p) - 11*n(p). 119*p**2 - 16*p - 1 Let n(i) = -5*i**3 + 4*i**2 + 8*i - 9. Let d be n(2). Let g(m) = 57*m**2 + 20*m. Let z(h) = -19*h**2 - 7*h. What is d*z(j) - 6*g(j)? -19*j**2 - j Let h(j) = -8*j - 1. Let k(l) = 19*l - 1727. Calculate -2*h(z) - k(z). -3*z + 1729 Let d(u) = 2119*u**2 + u + 9. Let x(g) = 2117*g**2 + g + 7. Give 3*d(w) - 4*x(w). -2111*w**2 - w - 1 Let x(u) = -14*u + 15. Let p(w) = -4*w + 3. Calculate 9*p(a) - 2*x(a). -8*a - 3 Suppose 3*d - 36*h - 9 = -38*h, 2*h + 12 = 0. Let z(l) = -3*l**2 + l + 5. Let w(r) = r**2 - r - 2. Calculate d*w(j) + 3*z(j). -2*j**2 - 4*j + 1 Let b(q) be the first derivative of 13/2*q**2 - 5*q - 242 + 5/3*q**3 + 11/4*q**4. Let a(j) = -16*j**3 - 7*j**2 - 19*j + 7. What is 5*a(x) + 7*b(x)? -3*x**3 - 4*x Let v(z) = -2*z**2 + 7*z + 2. Let k(o) = 3*o**3 - 171*o**2 - 14*o - 2. Give k(w) + 2*v(w). 3*w**3 - 175*w**2 + 2 Let w(s) = 4*s - 2*s - 33*s**2 + s**3 - 3*s + 18*s**2 + 14*s**2. Let v(c) = 2*c**3 + 6*c**2 + 3*c. What is v(k) + 4*w(k)? 6*k**3 + 2*k**2 - k Let p(q) = -2*q**2 - 7*q. Let w(x) = -6*x**2 - 20*x. Let f(r) = 8*r + 8. Let y be f(5). Suppose -g - 43 = -0*g. Let t = y + g. Give t*w(n) - 14*p(n). -2*n**2 - 2*n Let a(r) = 182*r**2 - 5*r - 27. Let n(c) = 181*c**2 - 6*c - 34. Calculate -5*a(m) + 4*n(m). -186*m**2 + m - 1 Let d(i) = 2*i + 5. Let y(j) = -1961*j - 25. Give 5*d(b) + y(b). -1951*b Let j(n) = 123*n**2 + 7. Let p be -2 + -3*(-12)/((-504)/70). Let x(k) = -41*k**2 - 2. What is p*x(b) - 2*j(b)? 41*b**2 Let l(t) = t**3 - 36*t**2 + 41*t - 1479. Let v be l(36). Let h(u) = 11*u + 3. Let y(d) = 34*d + 10. Determine v*y(c) + 10*h(c). 8*c Let n(t) = -34584*t. Let i(r) = 2162*r. Determine 33*i(s) + 2*n(s). 2178*s Let m = -16 - -23. Let s(h) be the third derivative of h**4/12 + h**3/6 + 17*h**2. Let n(q) = 95 - 31 + 6*q - 33 - 2*q - 29. What is m*s(i) - 4*n(i)? -2*i - 1 Let u(j) = 7*j**2 + 1. Let n(k) be the first derivative of k**4/12 + 88*k + 109. Let y(b) be the first derivative of n(b). Determine u(t) - 6*y(t). t**2 + 1 Let w(r) = r**3 - 6
{ "pile_set_name": "DM Mathematics" }
3. 7c Convert 53376 (base 10) to base 9. 81186 -8563 (base 12) to base 16 -391b Convert 1220120 (base 4) to base 16. 1a18 What is 2220 (base 3) in base 9? 86 What is -1bcd (base 14) in base 12? -2b35 Convert -330244 (base 5) to base 15. -354e What is -1132 (base 6) in base 11? -228 Convert -128b (base 12) to base 4. -201023 Convert -ab4 (base 15) to base 13. -1141 Convert -2cc1 (base 16) to base 2. -10110011000001 What is 539 (base 14) in base 8? 2007 -2092 (base 11) to base 6 -20443 -a90d (base 14) to base 13 -103b6 72 (base 12) to base 10 86 Convert -1206 (base 7) to base 5. -3242 Convert 22113 (base 4) to base 15. 2e3 -16141 (base 7) to base 10 -4537 Convert -1001000011001 (base 2) to base 15. -158d Convert 4c0a (base 16) to base 12. b322 -1100000100 (base 2) to base 14 -3d2 Convert -345 (base 11) to base 2. -110011100 Convert -637 (base 9) to base 14. -292 -43b2 (base 14) to base 9 -17062 Convert -23652 (base 8) to base 16. -27aa What is 1120 (base 3) in base 12? 36 Convert -133a (base 14) to base 12. -1b60 What is 2220100 (base 3) in base 7? 6111 -11442 (base 6) to base 10 -1682 276b (base 15) to base 5 232201 20101 (base 3) to base 15 b7 342 (base 8) to base 14 122 -505 (base 11) to base 13 -37c Convert 211012 (base 3) to base 6. 2435 Convert -3a36 (base 15) to base 6. -133310 Convert -1840 (base 15) to base 4. -1101303 Convert 20202122 (base 3) to base 9. 6678 Convert 111020 (base 4) to base 9. 1762 130a (base 12) to base 13 cac What is 14860 (base 12) in base 9? 43540 Convert 205 (base 11) to base 8. 367 Convert -1344 (base 7) to base 5. -4042 Convert -16045 (base 8) to base 6. -53205 Convert 3a40 (base 16) to base 13. 6a31 Convert -8a1 (base 11) to base 13. -650 Convert -102321 (base 5) to base 10. -3461 Convert 1335 (base 11) to base 13. a33 Convert b3 (base 16) to base 11. 153 3226 (base 11) to base 5 114023 Convert 1186 (base 10) to base 5. 14221 What is -1650 (base 8) in base 14? -4ac What is 356 (base 10) in base 14? 1b6 Convert -12dd (base 14) to base 12. -1b17 26554 (base 8) to base 15 36a3 Convert 445 (base 8) to base 12. 205 What is -326b (base 13) in base 16? -1b6a Convert 11a0 (base 11) to base 4. 120122 22122 (base 4) to base 2 1010011010 Convert -363 (base 11) to base 9. -530 What is -12300 (base 4) in base 13? -273 Convert -35254 (base 9) to base 10. -23539 c1c7 (base 16) to base 8 140707 What is 1783 (base 10) in base 15? 7dd What is -9685 (base 10) in base 16? -25d5 Convert -7861 (base 10) to base 12. -4671 223303 (base 5) to base 4 1330101 Convert 43112 (base 5) to base 11. 2203 346 (base 7) to base 14 cd 1010010110101 (base 2) to base 9 7240 -12b (base 14) to base 10 -235 What is -368 (base 16) in base 3? -1012022 Convert -32420 (base 5) to base 8. -4273 Convert 799 (base 10) to base 15. 384 Convert -20489 (base 11) to base 2. -111010010100111 What is 34152 (base 8) in base 5? 430232 What is 1002001 (base 3) in base 7? 2200 What is -227 (base 13) in base 16? -173 What is -20122 (base 3) in base 10? -179 Convert 280 (base 16) to base 10. 640 -32002 (base 4) to base 5 -12043 Convert 201112 (base 4) to base 3. 2221001 What is 1241 (base 10) in base 3? 1200222 Convert -1510 (base 7) to base 11. -4a1 Convert 9312 (base 11) to base 9. 17847 What is 6882 (base 9) in base 11? 3913 Convert -833 (base 9) to base 7. -1656 -2c7 (base 15) to base 7 -1600 Convert -273 (base 12) to base 6. -1423 Convert 5a8a (base 11) to base 16. 1f1b Convert 365d (base 14) to base 13. 4421 7052 (base 10) to base 16 1b8c Convert -2b3c (base 14) to base 12. -4556 Convert -5969 (base 11) to base 12. -4637 103107 (base 8) to base 4 20121013 -192 (base 15) to base 4 -11222 Convert 29 (base 12) to base 7. 45 Convert -530103 (base 6) to base 11. -2a186 What is 112001 (base 3) in base 2? 101111011 What is -101232 (base 4) in base 14? -5b0 Convert 4d7 (base 16) to base 11. a27 Convert -7895 (base 10) to base 13. -3794 Convert -1261 (base 8) to base 12. -495 Convert -221100012 (base 3) to base 13. -8540 -94 (base 10) to base 12 -7a Convert 337 (base 12) to base 2. 111011011 Convert 1eaa (base 16) to base 3. 101202202 3b86 (base 12) to base 3 100102110 What is 2131 (base 6) in base 2? 111100111 What is 262 (base 14) in base 2? 111011110 What is -61 (base 11) in base 14? -4b Convert -1143231 (base 5) to base 8. -52273 Convert -1323010 (base 4) to base 5. -223001 -25322 (base 6) to base 10 -3794 -2210 (base 4) to base 7 -323 1211002 (base 4) to base 16 1942 What is 2134 (base 5) in base 16? 126 -2431 (base 5) to base 3 -111120 Convert 202201 (base 3) to base 9. 681 -146ec (base 15) to base 8 -200241 Convert -19491 (base 12) to base 4. -21001231 Convert -82c (base 14) to base 10. -1608 -104506 (base 9) to base 3 -10011120020 Convert -10020020 (base 3) to base 7. -6603 Convert 81161 (base 9) to base 6. 1051001 -1140311 (base 6) to base 12 -2a697 Convert 11010000111011 (base 2) to base 4. 3100323 -73662 (base 8) to base 15 -912c 489 (base 10) to base 9 603 Convert a9c (base 13) to base 6. 12231 Convert -12d90 (base 15) to base 13. -2167b What is -4b22 (base 13) in base 11? -8025 Convert 34 (base 8) to base 15. 1d What is 313120 (base 4) in base 9? 4767 -6994 (base 15) to base 11 -15927 Convert -302 (base 9) to base 14. -137 -13a23 (base 15) to base 12 -30589 Convert 102541 (base 6) to base 10. 8413 248 (base 13) to base 8 616 -30242 (base 5) to base 7 -5451 3152 (base 13) to base 14 26b9 -140 (base 11) to base 5 -1130 Convert -10233 (base 4) to base 6. -1223 5123 (base 8) to base 9 3556 What is 42610 (base 8) in base 12? a374 Convert -525 (base 9) to base 8. -654 14420 (base 11) to base 7 113453 What is bed (base 15) in base 8? 5212 What is 1001101010 (base 2) in base 9? 756 What is -10010011000000 (base 2) in base 4? -2103000 Convert -ab0b (base 13) to base 5. -1230330 -419 (base 12) to base 11 -4a3 Convert 50d (base 14) to base 12. 6a9 Convert -101100 (base 3) to base 9. -340 4014 (base 5) to base 9 625 What is 3587 (base 11) in base 2? 1001001010101 What is -302300 (base 4) in base 16? -cb0 Convert 18f (base 16) to base 11. 333 What is -6182 (base 12) in base 16? -2972 -36d9 (base 14) to base 4 -2111333 208a (base 12) to base 4 313222 What is 2188 (base 12) in base 14? 14c8 -106 (base 11) to base 16 -7f 13105 (base 14) to base 4 23130001 What is -1c404 (base 13) in base 10? -55605 Convert -154 (base 13) to base 11. -1a7 -2101000221 (base 3) to base 15 -dc71 2111121 (base 3) to base 10 1825 What is -f6d (base 16) in base 2? -111101101101 Convert 4a (base 16) to base 9. 82 Convert -10101010011 (base 2) to base 5. -20423 Convert 229 (base 10) to base 8. 345 140252 (base 6) to base 9 18825 What is 410 (base 9) in base 5? 2313 What is -10011100 (base 2) in base 3? -12210 Convert -49 (base 16) to base 7. -133 17ab (base 12) to base 9 3835 -33cc (base 15) to base 5 -322432 516c (base 16) to base 4 11011230 Convert 18f (base 16) to base 3. 112210 What is 415 (base 6) in base 11? 131 Convert 446 (base 9) to base 15. 196 What is -134341 (base 7) in base 14? -9458 What is 141 (base 10) in base 3? 12020 421 (base 6) to base 3 12211 483 (base 9) to base 6 1503 Convert -352034 (base 6) to base 4. -13120312 -40 (base 11) to base 9 -48 -19842 (base 12) to base 5 -2144430 10565 (base 10) to base 5 314230 Convert 320 (base 8) to base 5. 1313 What is -232 (base 6) in base 2? -1011100 What is -1001100 (base 2) in base 16? -4c What is -33121 (base 4) in base 8? -1731 Convert 12120100 (base 3) to base 16. fdb -2101001 (base 3) to base 12 -1001 What is -9d2 (base 14) in base 3? -2200011 What is -702 (base 14) in base 5? -20444 14a42 (base 11) to base 15 644b What is 438 (base 15) in base 7? 2531 What is 323 (base 10) in base 4? 11003 -165 (base 11) to base 15 -cc -2250 (base 10) to base 7 -6363 What is -5401 (base 12) in base 10? -9217 -11541 (base 8) to base 6 -34545 What is -351 (base 14) in base 6? -3015 2a70 (base 12) to base 4 1031310 What is -232043 (base 5) in base 7? -33325 What is -13010322 (base 4) in base 10? -28986 What is 17865 (base 9) in base 16? 3053 462 (base 8) to base 13 1a7 Convert 331112 (base 4) to base 3. 12101102 Convert d6e (base 15) to base 14. 1165 Convert 727 (base 10) to base 12. 507 Convert 6a3 (base 16) to base 13. a09 What is -13035 (base 6) in b
{ "pile_set_name": "DM Mathematics" }
. 11 Solve 32 + 3586 = 201*b for b. 18 Solve -621 - 1116 + 105 = -136*g for g. 12 Solve 54*c - 783 = 57*c + 84*c for c. -9 Solve -6*m - 12 = -0 for m. -2 Solve 61*x = 62*x for x. 0 Solve 1848 = 176*g + 353 - 441 for g. 11 Solve -3389 = -220*x + 571 for x. 18 Solve 7*j = -271*j + 22*j - 512 for j. -2 Solve 848 = -83*m - 24*m + 313 for m. -5 Solve -75*u - 161 = -324 - 812 for u. 13 Solve 46*c = -24*c - 0*c + 630 for c. 9 Solve -151*h - 400 = -326*h + 155*h for h. 20 Solve -4*g - 124 = -248 for g. 31 Solve -11596*k = -11585*k - 187 for k. 17 Solve -47*o - 7*o - 19*o = 219 for o. -3 Solve 4940 = 415*y + 79*y for y. 10 Solve -62*o + 3806 - 5046 = 0 for o. -20 Solve -2660 = -594*y + 454*y for y. 19 Solve 26 = -4*f - 33 + 27 for f. -8 Solve -267 - 353 = -62*i for i. 10 Solve 29 - 332 = -26*b - 43 for b. 10 Solve 123 - 34 = 46*c - 141 for c. 5 Solve -21*k - 59*k + 864 = -8*k for k. 12 Solve -4063 + 3293 = -874*r - 19124 for r. -21 Solve 0 = -4*d + 216 - 74 - 102 for d. 10 Solve -25*l = -50 + 45 + 130 for l. -5 Solve -14*w + 1083376 - 1083446 = 0 for w. -5 Solve 35*y - 255*y + 102 + 118 = 0 for y. 1 Solve 357*w = -62*w + 838 for w. 2 Solve -1253 = -29*y - 68*y + 1075 for y. 24 Solve 0 = -1206*y + 207*y - 21978 for y. -22 Solve -2189*m + 2210*m - 42 = 0 for m. 2 Solve 3*z + 22108 = -z + 22008 for z. -25 Solve -423*o = 28*o - 2823 - 2589 for o. 12 Solve 90*s + 74*s - 256 = 36*s for s. 2 Solve 11*o - 31*o - 3406 = -282*o for o. 13 Solve -337*a + 6501 + 2261 = 0 for a. 26 Solve 382*z - 1905 - 779 = 1900 for z. 12 Solve -74 - 197 = -29*p + 48 for p. 11 Solve -5*d = -d - 0*d + 48 for d. -12 Solve -30*a - 8*a + 299 = 869 for a. -15 Solve 111*q + 45 + 186 = 122*q for q. 21 Solve 34*j = -61*j + 9*j + 774 for j. 9 Solve 603*s = 3345 + 13539 for s. 28 Solve 2036 + 1424 = 173*l for l. 20 Solve 0 = -57*f - 76*f - 266 for f. -2 Solve -59*i + 87 = 500 for i. -7 Solve 6*m + 22*m + 360 = 8*m for m. -18 Solve -145 + 1 - 15 = -53*i for i. 3 Solve -5756 - 11548 = -618*y for y. 28 Solve 0 = 26202*n - 26199*n + 24 for n. -8 Solve 0 = 602*w + 482 + 1926 for w. -4 Solve 0 = -116*o + 96 + 20 for o. 1 Solve 74 = 55*v + 1009 for v. -17 Solve 393*h - 9620 = -122*h - 447*h for h. 10 Solve 0 = 1380*h - 1470*h + 900 for h. 10 Solve b + 2*b = -68206 + 68197 for b. -3 Solve -11333 = -15*r - 11408 for r. -5 Solve 83 - 1280 = -171*y for y. 7 Solve 1895 + 2427 - 668 = -174*n for n. -21 Solve 705 + 2302 = -301*a - 3314 for a. -21 Solve 820 - 212 = 26*o + 6*o for o. 19 Solve 24*o - 11 - 184 = 37*o for o. -15 Solve 294*x - 75*x - 1374 = -60 for x. 6 Solve 294*o = 1865 - 411 + 3838 for o. 18 Solve -391*s - 4788 = -125*s for s. -18 Solve -62*b + 50*b = 209*b + 442 for b. -2 Solve 206*s - 780*s = 15498 for s. -27 Solve 203*i = 2962 - 729 for i. 11 Solve 1027*y + 31367 = 3638 for y. -27 Solve -20*p - 122*p = 1343 - 4609 for p. 23 Solve 37*k = 51*k + 52*k - 462 for k. 7 Solve 574*l + 1335 = 485*l for l. -15 Solve 57*x + 123207 - 122295 = 0 for x. -16 Solve 0 = 7*n - 0*n + 23*n + 60 for n. -2 Solve 343*h = 902*h for h. 0 Solve 451*z = 59*z - 105*z - 1491 for z. -3 Solve -188*j = 47*j - 1880 for j. 8 Solve -5773*x + 6 = -5770*x for x. 2 Solve -376*i = -391*i - 255 for i. -17 Solve 300*a - 1535 = 737*a - 2409 for a. 2 Solve 23 = 11*u - 120 for u. 13 Solve 5092*y - 5105*y = -273 for y. 21 Solve -36*y + 28*y - 123*y = 89*y for y. 0 Solve 9*f = -28*f - 148 for f. -4 Solve 186*g = 102*g + 120*g + 288 for g. -8 Solve -806*o + 373*o + 1260 = -397*o for o. 35 Solve -66*y + 16*y + 1392 = 66*y for y. 12 Solve 0 = -152*q + 168*q + 48 for q. -3 Solve -7*f - 44*f + 1519 = 2590 for f. -21 Solve -26851*t + 26862*t = -33 for t. -3 Solve -4*r - 63*r = 151 + 385 for r. -8 Solve 55*p = 95*p - 176 + 496 for p. -8 Solve -6*w - 14048 = -14042 for w. -1 Solve -10*m = -696 + 586 for m. 11 Solve 0 = 295*j - 109*j - 2604 for j. 14 Solve 22 = -64*d + 86*d for d. 1 Solve 1444*u + 179*u + 38952 = 0 for u. -24 Solve -948*p + 94 = -901*p for p. 2 Solve -352*i = -373*i + 63 for i. 3 Solve 0 = 142*r + 191 + 1797 for r. -14 Solve 0 = 89*y - 380*y + 2619 for y. 9 Solve 53*x + 970 = 334 for x. -12 Solve -15 + 1 = 3*z - z for z. -7 Solve -613 = 397*u - 149*u + 2611 for u. -13 Solve 0 = -948*g - 1181*g - 83031 for g. -39 Solve 1154*w + 11130 = 1898 for w. -8 Solve 1481 = -28*l + 953 + 1228 for l. 25 Solve -69*l - 64 - 38 = -120*l for l. 2 Solve 807 = 81*w + 48*w - 741 for w. 12 Solve 104 = -19*h - 166 - 300 for h. -30 Solve -190*j - 590 = -172*j + 4 for j. -33 Solve -81704*z + 1150 = -81658*z for z. 25 Solve 38*i - 27 - 8 = 33*i for i. 7 Solve 80*l + 1032 = 125*l - 88*l for l. -24 Solve -2472*m + 1277*m + 2352 = -1293*m for m. -24 Solve 385 = -154*x + 189*x for x. 11 Solve -45*y - 20*y = 136*y - 3015 for y. 15 Solve 0 = 19*k + 8*k + 2*k - 145 for k. 5 Solve -434*r + 451*r = -68 for r. -4 Solve -122*u - 101*u + 196*u = 27 for u. -1 Solve -96*z - 201 + 12 = 99 for z. -3 Solve 79*o - 75 + 388 = -240 for o. -7 Solve 270 + 18 - 18 = -18*c for c. -15 Solve -9*p + 11*p = 6*p - 28 for p. 7 Solve 4329*i - 4343*i - 14 = 0 for i. -1 Solve 2*h - 177 = -127 for h. 25 Solve -27*v - 8*v + 216 = -11*v for v. 9 Solve 245*v = 379*v - 246*v - 2576 for v. -23 Solve 28 - 174 = -42*y + 190 for y. 8 Solve 0 = -3455*q + 3203*q + 9072 for q. 36 Solve 410*j - 53*j + 4641 = 0 for j. -13 Solve -150*m - 2869 = -28*m + 29*m for m. -19 Solve -553*h = -535*h + 378 for h. -21 Solve -5*q - 11*q + 392 = 12*q for q. 14 Solve 3491 = -237*s - 1723 for s. -22 Solve -88*w + 1646 = -237*w + 305 for w. -9 Solve 841*t = -29*t - 603 - 23757 for t. -28 Solve -762*m - 400*m = -232*m - 35340 for m. 38 Solve 23*u + 133 + 194 = 74 for u. -11 Solve -1149*w + 37884 + 1182 = 0 for w. 34 Solve 47*y - 26*y - 80 = 26*y for y. -16 Solve -12806*h + 12816*h = 10 for h. 1 Solve -3*f = -163*f + 1786 + 1094 for f. 18 Solve -35*c + 63*c - 112 = 0 for c. 4 Solve 153147 = -5*a + 153182 for a. 7 Solve 351*s + 1120 + 2122 = -2023 for s. -15 Solve -9*m - 60 = -15 for m. -5 Solve 12680 = 54*g + 12950 for g. -5 Solve -92*z - 80*z + 120 = -164*z for z. 15 Solve 1458 - 1682 = 8*j + 8*j for j. -14 Solve 0 = -75*p - 292 + 2017 for p. 23 Solve 10*s + 41*s = 1020 for s. 20 Solve 549 - 4305 = 313*p for p. -12 Solve -r + 77*r + 2300 = -16*r for r. -25 Solve 4*u + 16 = -12 + 52 for u. 6 Solve 41*d = -6*d - 188 for d. -4 Solve 9*p + 32045 - 32306 = 0 for p. 29 Solve 179*l - 6 + 137 = 48*l for l. -1 Solve 13*u - 4 + 56 = 0 for u. -4 Solve 79*r - 4401 = 568*r for r. -9 Solve -2974 + 5578 = -124*l for l. -21 Solve 0 = -16*j - 1504 + 1712 for j. 13 Solve -9*g - 4*g = -g + 36 for g. -3 Solve 0 = -10*r - 0*r + 501 - 611 for r. -11 Solve -1172 = -b - 1173 for b. -1 Solve 1093 = 7*z + 1170 for z. -11 Solve 163*k - 481 - 64 = 270 for k. 5 Solve -242 = l - 29*l - 102 for l. 5 Solve -277*d + 131*d - 432 = -119*d for d. -16 Solve -17*o - 41 = -3*o - 139 for o. 7 Solve -118*s - 31 = 87 for s. -1 Solve 26*w + 335 = 829 for w. 19 Solve -1443*u - 7860 = -1803*u - 2820 for u. 14 Solve -1338 = -473*i - 2849 + 12863 for i. 24 Solve -282*v + 1463 + 1075 = 0 for v. 9 Solve 458 + 38 = -31*g for g. -16 Solve -138*d - 487 = -214 + 279 for d. -4 Solve 321*z + 1388 - 92 = -3*z for z. -4 Solve -667 = -750*k + 779*k for k. -23 Solve -12*o - 91*o + 296*o = 3474 for o. 18 Solve 1901 = 948*r - 2601 - 1186 for r. 6 Solve 107*g + 59*g = 996 for g. 6 Solve 2787*a + 90 = 2757*a for a. -3 Solve 52*u + 97*u - 1498 = -3882 for u. -16 Solve -1160*f + 1135*f = -150 for f. 6 Solve -294*f - 2055 = -124*f + 665 for f. -16 Solve -14*d + 1163 - 1920 = -981 for d. 16 Solve -36538 + 36448 = -9*w for w. 10 Solve -468 = -264*w + 368 + 1276 for w. 8 Solve 36146*m + 60 = 36150*m for m. 15 Solve -818*t + 166*t = -13692 for t. 21 Solve -1755*z = 27366 + 23529 for z. -29 Solve 0 = 500*z - 258*z + 4598 for z. -19 Solve -331*o + 3105 = -9714 + 4213 for o. 26 Solve 1599*f = 559*f - 26000 for f. -25 Solve -17 = -2034*p + 2038*p - 85 for p. 17 Solve 694*f + 5086 = 25212 for f. 29 Solve 0 = 129*r + 647 - 2453 for r. 14 Solve 12*s = 410 - 554 for s. -12 Solve 5*q + 6821 - 6916 = 0 for q. 19 Solve -29*b + 33 + 36 - 11 = 0 for b. 2 Solve 110 - 172 = -17*c - 164 for c. -6 Solve 702*t = -2071 - 737 for t. -4 Solve 15 = -2*f + 13 + 14 for f. 6 Solve -8*h - 39*h - 1159 = 1
{ "pile_set_name": "DM Mathematics" }
What is the r'th term of -76, -78, -80? -2*r - 74 What is the l'th term of -184, -369, -554? -185*l + 1 What is the p'th term of 54, 115, 178, 243, 310? p**2 + 58*p - 5 What is the t'th term of -5, 1, 9, 19, 31? t**2 + 3*t - 9 What is the d'th term of 318, 341, 384, 453, 554, 693, 876, 1109? d**3 + 4*d**2 + 4*d + 309 What is the z'th term of 11911, 23824, 35737, 47650? 11913*z - 2 What is the v'th term of 524, 544, 564? 20*v + 504 What is the q'th term of -8, -18, -44, -92, -168, -278, -428? -q**3 - 2*q**2 + 3*q - 8 What is the u'th term of -189, -353, -525, -711, -917? -u**3 + 2*u**2 - 163*u - 27 What is the g'th term of 1935, 1933, 1931? -2*g + 1937 What is the j'th term of 89, 91, 103, 131, 181, 259, 371? j**3 - j**2 - 2*j + 91 What is the n'th term of 104, 119, 134, 149? 15*n + 89 What is the j'th term of -25, -85, -187, -331? -21*j**2 + 3*j - 7 What is the j'th term of -26211, -26213, -26215, -26217, -26219, -26221? -2*j - 26209 What is the p'th term of 92, 172, 250, 326, 400, 472? -p**2 + 83*p + 10 What is the m'th term of 61, 121, 179, 235, 289, 341? -m**2 + 63*m - 1 What is the f'th term of 32, 212, 716, 1706, 3344, 5792, 9212? 27*f**3 - 9*f + 14 What is the i'th term of 658, 652, 644, 634? -i**2 - 3*i + 662 What is the s'th term of 31, 34, 39, 46, 55, 66, 79? s**2 + 30 What is the c'th term of -14, -47, -138, -317, -614? -5*c**3 + c**2 - c - 9 What is the d'th term of -192, -142, -92, -42, 8? 50*d - 242 What is the x'th term of 179, 362, 541, 716, 887? -2*x**2 + 189*x - 8 What is the z'th term of 224, 228, 232, 236, 240, 244? 4*z + 220 What is the v'th term of -13, -18, -23, -28? -5*v - 8 What is the g'th term of 11, 24, 33, 38, 39? -2*g**2 + 19*g - 6 What is the v'th term of -808, -1623, -2448, -3283, -4128, -4983? -5*v**2 - 800*v - 3 What is the c'th term of 49, 31, 5, -29, -71, -121? -4*c**2 - 6*c + 59 What is the x'th term of -71, -79, -97, -131, -187? -x**3 + x**2 - 4*x - 67 What is the v'th term of 413, 483, 567, 671, 801, 963? v**3 + v**2 + 60*v + 351 What is the x'th term of -30, -4, 22, 48? 26*x - 56 What is the g'th term of -102, -221, -354, -507, -686, -897? -g**3 - g**2 - 109*g + 9 What is the q'th term of 63, 65, 67? 2*q + 61 What is the w'th term of -11, -12, -15, -20, -27, -36? -w**2 + 2*w - 12 What is the r'th term of 5, -23, -99, -247, -491, -855, -1363, -2039? -4*r**3 + 9 What is the s'th term of -469, -538, -607, -676, -745? -69*s - 400 What is the t'th term of 14, 20, 26, 32, 38? 6*t + 8 What is the p'th term of 1121, 2249, 3389, 4547, 5729, 6941? p**3 + 1121*p - 1 What is the t'th term of 14, 34, 54, 74, 94, 114? 20*t - 6 What is the n'th term of -469, -470, -471, -472, -473? -n - 468 What is the q'th term of 12, 58, 116, 192, 292, 422, 588, 796? q**3 + 39*q - 28 What is the r'th term of 375, 372, 369, 366, 363? -3*r + 378 What is the n'th term of 31, 15, -1? -16*n + 47 What is the f'th term of -168, -162, -144, -108, -48? f**3 - f - 168 What is the h'th term of 6, 3, 0? -3*h + 9 What is the f'th term of -97, -64, -27, 14, 59, 108? 2*f**2 + 27*f - 126 What is the n'th term of -51, -51, -59, -81, -123, -191, -291, -429? -n**3 + 2*n**2 + n - 53 What is the g'th term of 138, 148, 182, 246, 346? g**3 + 6*g**2 - 15*g + 146 What is the w'th term of -386, -373, -344, -293, -214? w**3 + 2*w**2 - 389 What is the w'th term of 604, 605, 604, 601, 596, 589, 580? -w**2 + 4*w + 601 What is the b'th term of 427, 419, 407, 391, 371, 347, 319? -2*b**2 - 2*b + 431 What is the s'th term of -52, -49, -42, -31, -16? 2*s**2 - 3*s - 51 What is the y'th term of 8067, 8070, 8075, 8082, 8091, 8102? y**2 + 8066 What is the n'th term of -22, -40, -56, -70? n**2 - 21*n - 2 What is the r'th term of -285, -308, -329, -348? r**2 - 26*r - 260 What is the j'th term of -41, -69, -109, -155, -201, -241, -269, -279? j**3 - 12*j**2 + j - 31 What is the h'th term of 32, 71, 126, 203, 308, 447, 626? h**3 + 2*h**2 + 26*h + 3 What is the p'th term of 5, 14, 23, 32, 41, 50? 9*p - 4 What is the s'th term of -13333, -26665, -39997, -53329? -13332*s - 1 What is the q'th term of 116, 469, 1050, 1853, 2872, 4101, 5534? -q**3 + 120*q**2 - 3 What is the v'th term of 10, 50, 124, 238, 398, 610, 880, 1214? v**3 + 11*v**2 - 2 What is the t'th term of -109, -219, -329, -439? -110*t + 1 What is the n'th term of -121, -123, -139, -175, -237? -n**3 - n**2 + 8*n - 127 What is the k'th term of 1385, 1388, 1391, 1394? 3*k + 1382 What is the b'th term of -13, -10, 7, 44, 107? b**3 + b**2 - 7*b - 8 What is the r'th term of 626, 2536, 5720, 10178, 15910? 637*r**2 - r - 10 What is the o'th term of -3827, -15289, -34401, -61169, -95599, -137697, -187469? -o**3 - 3819*o**2 + 2*o - 9 What is the y'th term of 27, 79, 159, 267, 403, 567, 759? 14*y**2 + 10*y + 3 What is the n'th term of -8, -17, -36, -71, -128? -n**3 + n**2 - 5*n - 3 What is the a'th term of 131, 140, 149? 9*a + 122 What is the r'th term of -106, -209, -312, -415? -103*r - 3 What is the t'th term of -71, -89, -149, -275, -491, -821, -1289? -4*t**3 + 3*t**2 + t - 71 What is the j'th term of -6, -13, -20, -27, -34, -41? -7*j + 1 What is the w'th term of 35, 17, -19, -79, -169, -295, -463? -w**3 - 3*w**2 - 2*w + 41 What is the f'th term of -11, 11, 33? 22*f - 33 What is the n'th term of 54, 107, 160? 53*n + 1 What is the r'th term of -103, -184, -265, -346? -81*r - 22 What is the u'th term of 96, 154, 198, 222, 220, 186? -u**3 - u**2 + 68*u + 30 What is the v'th term of -32, -24, -16, -8, 0? 8*v - 40 What is the j'th term of 10, 1, -12, -29? -2*j**2 - 3*j + 15 What is the o'th term of -54, -122, -200, -294, -410, -554, -732, -950? -o**3 + o**2 - 64*o + 10 What is the g'th term of 18, 205, 708, 1683, 3286, 5673, 9000, 13423? 26*g**3 + 2*g**2 - g - 9 What is the g'th term of 17, 38, 79, 146, 245, 382, 563? g**3 + 4*g**2 + 2*g + 10 What is the s'th term of 4862, 9732, 14612, 19508, 24426, 29372? s**3 - s**2 + 4866*s - 4 What is the f'th term of 22, 21, 18, 13? -f**2 + 2*f + 21 What is the i'th term of -27, -51, -85, -135, -207, -307, -441? -i**3 + i**2 - 20*i - 7 What is the o'th term of -19, -45, -97, -187, -327, -529, -805, -1167? -2*o**3 - o**2 - 9*o - 7 What is the b'th term of -1077, -2161, -3247, -4335, -5425, -6517? -b**2 - 1081*b + 5 What is the o'th term of 70, 568, 1920, 4552, 8890, 15360, 24388, 36400? 71*o**3 + o**2 - 2*o What is the o'th term of -165, -126, -61, 30? 13*o**2 - 178 What is the o'th term of -174, -169, -158, -141? 3*o**2 - 4*o - 173 What is the j'th term of 53, 57, 63, 71, 81? j**2 + j + 51 What is the n'th term of 35, 32, 29, 26, 23, 20? -3*n + 38 What is the d'th term of 119, 110, 99, 86? -d**2 - 6*d + 126 What is the v'th term of -147, -29, 167, 441? 39*v**2 + v - 187 What is the i'th term of -6, 13, 42, 75, 106, 129, 138? -i**3 + 11*i**2 - 7*i - 9 What is the f'th term of 702, 698, 692, 684, 674? -f**2 - f + 704 What is the a'th term of -123, -193, -315, -495, -739? -a**3 - 20*a**2 - 3*a - 99 What is the a'th term of -555, -1120, -1675, -2214, -2731, -3220, -3675, -4090? a**3 - a**2 - 569*a + 14 What is the f'th term of 14574, 14575, 14576, 14577? f + 14573 What is the s'th term of -958, -1919, -2870, -3805, -4718? s**3 - s**2 - 965*s + 7 What is the r'th term of -424, -843, -1262, -1681? -419*r - 5 What is the n'th term of 250, 532, 814, 1096, 1378? 282*n - 32 What is the k'th term of 20125, 40250, 60375, 80500, 100625, 120750? 20125*k What is the n'th term of -48, -180, -400, -708, -1104, -1588, -2160? -44*n**2 - 4 What is the x'th term of -28, -20, -12, -4, 4, 12? 8*x - 36 What is the s'th term of -9, -49, -115, -207, -325, -469, -639? -13*s**2 - s + 5 What is the m'th term of 85, 160, 237, 316, 397, 480? m**2 + 72*m + 12 What is the b'th term of 286, 296, 322, 370, 446, 556, 706? b**3 + 2*b**2 - 3*b + 286 What is the n'th term of 298, 1190, 2676, 4756, 7430? 297*n**2 + n What is the f'th term of -12, -20, -34, -54, -80, -112? -3*f**2 + f - 10 What is the g'th term of 134, 147, 176, 227, 306, 419? g**3 + 2*g**2 + 131 What is the x'th term of 116, 228, 336, 440, 540? -2*x**2 + 118*x What is the h'th term of -550, -554, -560, -568, -578, -590, -604? -h**2 - h - 548 What is the v'th term of -2, -2, 0, 4? v**2 - 3*v What is the j'th term of 146, 268, 362, 428? -14*j**2 + 164*j - 4 What i
{ "pile_set_name": "DM Mathematics" }
7. Does 6 divide r(m)? False Let o be (1 + 4)/(1/(-2)). Let k be (-1 - (-7)/5)*o. Does 10 divide (2 + k/5)*20? False Suppose 0 = -2*q - 4*g + 118, -6*g = 5*q - g - 320. Is q a multiple of 16? False Suppose 3*c - 2*n - 514 = -n, 2*c - 320 = -5*n. Is c a multiple of 34? True Let s = 67 - -150. Does 12 divide s? False Let o = 72 - 30. Does 21 divide o? True Let p(n) be the second derivative of 9*n**5/10 - n**4/6 + n**3/6 + 2*n. Is 7 a factor of p(1)? False Let m(p) = -p**2 + 13*p - 8. Let x(i) = i**2 - 3*i + 1. Let h be x(4). Suppose -4*z - 16 = -3*j - h*z, 18 = -j - 5*z. Is 17 a factor of m(j)? True Let l(x) = x**2 - 5*x + 5. Suppose m - 17 - 8 = -5*a, -4*a = -3*m - 20. Suppose -d + 6 - 1 = m. Is l(d) a multiple of 3? False Suppose -3*n - 4 = n. Let q = n - -2. Is ((-1)/(-3))/(q/39) a multiple of 9? False Let m = 178 + -104. Does 10 divide m? False Let b(y) = 5 + y + 0*y - 8. Let o be b(8). Suppose -5*j - 19 - 11 = -2*x, o*j + 5 = -3*x. Does 3 divide x? False Let g = 6 - 8. Let k be ((-4)/1)/(g*1). Suppose -4*n = -5*q + 199, -n = -2*q + k*n + 74. Is 16 a factor of q? False Let y = 3 - 8. Let z = -5 - y. Suppose -u + 5*u - 132 = z. Is 13 a factor of u? False Suppose -158 - 97 = -5*n. Is n a multiple of 9? False Let y be 2 + 0/(-2) + 16. Suppose 2*g = 5*g - y. Is g a multiple of 6? True Let o(q) = q**3 - 7*q**2 + 8*q - 3. Let t be 6/27 - (-104)/18. Does 3 divide o(t)? True Let k(t) = t**3 + 10*t**2 - 5*t + 4. Is k(-10) a multiple of 4? False Suppose -z = 3*a + 7, 3*a - z = -3*z - 5. Let l(k) = -2*k**3 - 3*k**2 + 4*k + 4. Does 16 divide l(a)? False Let w(n) = n**2 + n - 1. Let j be w(-3). Suppose j*a - 88 = 12. Is 4 a factor of (12/(-8))/((-6)/a)? False Suppose -2*n + 5*h = -7*n + 15, 4*h + 8 = 0. Suppose -11 - 52 = -n*g - 3*b, -2*b + 38 = 3*g. Is g a multiple of 10? False Suppose -l = 3*l + 24. Let x be (-92)/l*(3 + 0). Suppose -4*g - 3*f = -119, 2*g - 21 = f + x. Is g a multiple of 15? False Let z = -116 - -56. Is 12 a factor of -1 + (3 - z/2)? False Let w(s) = -2*s**3 - s + 2. Let h(i) = 2 - 4*i - i**2 + 3*i + i. Let j be h(-2). Is w(j) a multiple of 12? False Suppose 3*b = -0*b - 96. Let k = b + 19. Does 17 divide k*(-1 - -3 - 5)? False Let z = -130 + 182. Suppose -3*o + 3*u + 2 = -z, 0 = -u. Is 5 a factor of o? False Let x(w) = w**2 + 11*w - 21. Let s(g) = g**2 - 7*g - 5. Let o be s(5). Is 10 a factor of x(o)? False Suppose -12*c + 11*c + 211 = 0. Is 40 a factor of c? False Does 27 divide (-2184)/(-20) + (-2)/10? False Is 7 a factor of 1/6 - (-1837)/66? True Let w(j) = -4*j**3 - 13*j**2 - 5*j + 3. Let x(h) = -5*h**3 - 14*h**2 - 5*h + 4. Let a(d) = 4*w(d) - 3*x(d). Is 15 a factor of a(-10)? False Suppose -4*x - 33 = f - 900, -5*f + 212 = x. Is 31 a factor of x? True Let j = 88 - 32. Does 10 divide j? False Suppose -4*p + 0*b + 2*b + 230 = 0, 4*b = -3*p + 178. Suppose -p = -o - 10. Does 16 divide o? True Let y(z) = 3*z**2 + 2*z - 1. Let c be y(1). Suppose 0 = -o - c. Does 5 divide ((-18)/4)/(2/o)? False Suppose 0 = 3*q + 3*j, 4 = -3*q + j - 2*j. Let d(p) = -p**3 + 7*p**2 - 3*p - 4. Let x be d(3). Let o = q + x. Does 18 divide o? False Suppose -2*x + 13 = -19. Does 8 divide x? True Let p(x) = -x**2 - 3*x + 2. Let u be p(-3). Suppose -v - 14 = -0*c - 2*c, 2*c + 5*v = u. Is 4 a factor of c? False Let g be 1/(-2)*24/(-6). Does 34 divide (2 - 3)*(-142)/g? False Let q(u) = -2*u + 5. Suppose 3*p + 12 = 3*i, -3*p + i - 12 = -i. Let v = -8 - p. Is 11 a factor of q(v)? False Let u(j) = -j**2 + 11*j - 12. Let z(v) = -v**2 + 10*v - 12. Let x(f) = 3*u(f) - 2*z(f). Suppose -5*d + 21 + 19 = 0. Does 11 divide x(d)? False Let r(z) = 9*z + 8. Let q be r(6). Let k = q + -15. Does 11 divide k? False Suppose 0 = -k + 4*n + 52, n + n = -k + 34. Does 11 divide k? False Suppose 5*c = 23 - 68. Let v = c + 27. Does 8 divide v? False Let r = -208 - -302. Suppose 8 = 3*l + 2*b, 3*l - 2 = l + 2*b. Suppose -4*w + r = -l*w. Is w a multiple of 13? False Let g = 2 + 0. Suppose -g*z = 3*z - 200. Is z a multiple of 11? False Suppose 3*x - 28 = 2*x. Is x a multiple of 14? True Let d(l) = l**3 - 5*l**2 + 4*l + 3. Let m be d(4). Suppose 3*k = -1 - 2, m*f - 28 = -2*k. Does 3 divide f? False Suppose -4*a = 3*o, o - 13 = -0*a + 3*a. Let c = -1 + o. Suppose -5 + 2 = 3*l, j = l + c. Is j a multiple of 2? True Is 14 a factor of ((-1)/(-2))/((-16)/(-448))? True Suppose 2*r = 5 + 1. Suppose 0 = -r*j - 1 + 10. Does 3 divide j? True Suppose 3*d - 150 - 156 = -3*t, 0 = 2*t + 4*d - 208. Let o = t - 40. Is 15 a factor of o? True Let h = 6 - 2. Is h a multiple of 2? True Let z(j) = j - 1. Let g be z(12). Does 11 divide 5/15*3*g? True Let u(k) = -13*k + 17. Is u(-2) a multiple of 13? False Is 10 a factor of 1/(-4) - 9432/(-96)? False Is 2 a factor of (-2)/(-20) - (-529)/10? False Let s(q) = -35*q - 1. Let w be s(1). Let a be ((-10)/8)/(3/w). Is (10/3)/(10/a) a multiple of 5? True Let i = -4 - -7. Suppose 0 = -5*x + 5*n + 315, i*x - 168 = 5*n + 25. Does 18 divide x? False Let c be 4/6 - (-1)/3. Let g be ((-1)/c)/((-5)/15). Suppose g*r = -4*o + 2*r + 167, -r + 41 = o. Is o a multiple of 21? True Let m(c) be the second derivative of -2*c**3/3 - 2*c**2 + 3*c. Is m(-4) a multiple of 12? True Let o(b) = 26*b**2 - 2*b - 1. Is 7 a factor of o(-1)? False Is 3 a factor of (-2 + 3)*19 - 1? True Does 51 divide (2/2)/(2*(-2)/(-408))? True Let q(r) = r**2 + 5*r + 7. Let k be q(5). Let t = k + -36. Does 5 divide t? False Let n = 24 - -88. Does 32 divide n? False Let v(y) be the second derivative of -3*y**3/2 + 7*y**2/2 - 4*y. Is v(-5) a multiple of 15? False Is 41 a factor of (-20)/(1 + 52/(-48))? False Let v(o) = -o**3 - 5*o**2 - o - 5. Let r be v(-5). Suppose r*x - 4*x = -120. Is 10 a factor of x? True Let k be (-94)/(-4)*(-4)/(-2). Suppose 3*f + 2*r - 95 = -2*r, -2*f - 5*r + 75 = 0. Let d = k - f. Does 10 divide d? False Let n(s) = -6*s + 3. Let k be n(-6). Suppose -5*p - 12 = -2*j + k, p - 69 = -4*j. Is 13 a factor of j? False Let m(g) = -g + g**2 + 9*g + 2 - 7*g. Is m(-2) even? True Suppose -3*l + 0*l + 4*c + 123 = 0, 3*l - c - 132 = 0. Is 9 a factor of l? True Suppose -17 = -3*w + 2*w. Is 3 a factor of w? False Let r be 84/12 - 4*1. Suppose 3*g - 131 = r*t - 8*t, -5*t = g - 137. Does 14 divide t? True Suppose -4*u + 5*g + 0*g + 3 = 0, 0 = -2*u + 4*g - 6. Suppose -u = m - 19. Is 7 a factor of m? False Suppose -h = 7*p - 2*p - 44, 2*p - 24 = -2*h. Is p a multiple of 4? True Let q(b) = -b**2 + 5*b - 2. Let w be q(5). Is (9/(-6))/(1/w) a multiple of 2? False Suppose 10 = -2*k + 86. Is k a multiple of 5? False Let r be ((-3)/(-4))/(2/(-8)). Let l = r + 5. Is 4/(-2) - -9*l a multiple of 16? True Let p be (-409)/(-3) - (-4)/(-3). Suppose -2*q + p = -45. Is q a multiple of 30? True Let y(l) = l**2 - 2*l + 2. Let w be y(-6). Is 5 a factor of 2/(-8) - w/(-8)? False Let k = 16 + -11. Suppose -55 = -5*q + k*i, -i + 12 = 3*i. Does 7 divide q? True Let q be (1/2*26)/1. Suppose 5*v + 2 = -28. Let a = v + q. Is 3 a factor of a? False Let n = 42 - -24. Is 21 a factor of n? False Let n be ((-32)/20)/((-2)/85). Suppose -12 = -5*t + n. Does 6 divide t? False Suppose -5*v - 252 = -14*v. Is v a multiple of 7? True Let g(v) = 9*v**2 - v + 3. Let k be g(3). Suppose -27 = 3*u - k. Let p = u - 10. Is p a multiple of 7? False Suppose n + 3*n + 3*w + 5 = 0, -3*n = 4*w + 9. Let a(f) = -2*f + 7*f**2 + 3*f + 1 - 2*f. Is 7 a factor of a(n)? True Suppose -5*x + 0*x + 1100 = 0. Suppose 0 = -0*v - 4*v + x. Let m = v - 35. Is 10 a factor of m? True Suppose -3*l + 21 = 2*g + 5, 2 = 5*g - 2*l. Let b be g/(-4) + (-9)/2. Let n = b + 19. Is 7 a factor of n? True Let k(z) = z**3 + 9*z**2 - 4*z - 7. Is 16 a factor of k(-8)? False Let b = 8 + -5. Does 10 divide (-1)/(((-9)/141)/b)? False Suppose 17*b + 296 = 21*b. Does 30 divide b? False Let d(p) = -p**3 + 6*p**2 - 6*p + 2. Let f be d(4). Let g be ((-26)/f + 1)*10. Let x = g - -26. Is x a multiple of 10? True Suppose -3*a - 2*a = 0. Let p be a*(-1 - (-6)/4). Is 42 + (p/(-1))/(-1) a multiple of 21? True Suppose -5*c - 37 = 2*o, 5*c - o = 2*o - 32. Is (-2)/c + (-2256)/(-42) a multiple of 14? False Suppose -1046 = 6*h - 2966. Is h a multiple of 8? True Let l be (23/4)/((-2)/(-16)). Suppose -u + l - 4 = 0. Is 21 a factor of u? True Let q = 10 + 5. Let x = 16 + q. Is 7 a factor of x? False Suppose 2
{ "pile_set_name": "DM Mathematics" }
+ 8. Let h(d) = -14*d**2. Calculate h(m(p)). -2744*p**2 Let m(t) = -3*t**2. Let p(r) = 25*r - 2. Let j(d) be the first derivative of -d**2/2 + d + 28. Let u(b) = -2*j(b) - p(b). Determine m(u(c)). -1587*c**2 Let l(x) = 173 - 412 - 27*x + 8*x + 239. Let g(v) be the first derivative of 4*v**3/3 + 1. Calculate l(g(k)). -76*k**2 Let c(o) be the third derivative of -35*o**4/8 - 36*o**2 - 10*o. Let i(r) = r. Calculate c(i(z)). -105*z Let o(r) = -3*r. Let d(q) = 20071 - 10*q - q**2 + 140*q - 20071. Calculate o(d(s)). 3*s**2 - 390*s Let w(h) = -16*h. Let g(q) be the first derivative of 85*q**3/3 + 2729. Calculate w(g(n)). -1360*n**2 Let d(g) = -19*g**2 + 4*g. Let w(i) be the second derivative of i**6/720 - 25*i**4/4 - 37*i. Let x(k) be the third derivative of w(k). What is d(x(p))? -19*p**2 + 4*p Let h(d) = -3*d. Let k(a) be the second derivative of -a**6/720 + 29*a**5/30 - 185*a**4/12 + 191*a. Let x(p) be the third derivative of k(p). What is h(x(t))? 3*t - 348 Let o(h) = 3*h. Let a(q) = -25*q - 40. Let r be a(-7). Suppose -2*i - 111 + 38 = -v, -2*v - 4*i = -114. Let f(z) = -v*z + r*z - 70*z + 4*z**2. What is o(f(m))? 12*m**2 Let a(h) = 98*h - 222*h - h**2 + 111*h. Let s(t) = -9*t**2. Give a(s(q)). -81*q**4 + 117*q**2 Let h(d) = -973*d**2 + 36. Let m(p) = -79788*p**2 + 2943. Let g(t) = -327*h(t) + 4*m(t). Let f(u) = 2*u**2. Calculate f(g(j)). 1924722*j**4 Let z(v) be the third derivative of 1125*v**4/4 - 478*v**2 - 4. Let o(y) = y**2. What is o(z(g))? 45562500*g**2 Let a(n) = 5*n**2 + 1. Let f(y) = -56*y**2 + 16. Let m(u) = -16*a(u) + f(u). Let v(s) = -26*s**2. Give m(v(g)). -91936*g**4 Let s(f) = f**2. Let t(r) be the second derivative of 19*r**2 + 1/3*r**3 - 1 + 5*r. Calculate t(s(n)). 2*n**2 + 38 Let p(t) = -14*t**2 + 4*t**2 + 11*t**2. Let k(g) be the third derivative of g**4/12 + g**3/3 + 22*g**2. Determine p(k(u)). 4*u**2 + 8*u + 4 Let i(c) = c**3 + 9*c**2 - c - 5. Let h be i(-9). Let q(b) = 2*b**2 - 31*b - 165. Let n be q(27). Let j(v) = 456 - h*v - n. Let k(z) = -8*z**2. What is k(j(w))? -128*w**2 Let m(b) = b + 7. Let n(i) = -152562*i**2. Determine m(n(x)). -152562*x**2 + 7 Let i(n) = 8*n - 125. Let w(a) = -600*a + 7500. Let h(y) = 60*i(y) + w(y). Let b(c) = c. Let z(s) = -s**2 + s. Let f(d) = -b(d) + z(d). Give f(h(o)). -14400*o**2 Let b(g) be the second derivative of -g**4/12 + 7*g - 3. Let v(d) = 41*d - 3. Let a(o) = 21*o - 1. Let x(q) = 15*a(q) - 6*v(q). What is x(b(n))? -69*n**2 + 3 Let s(u) = -3*u**2. Let v(a) = -19*a + 76. Let y(o) = 23*o - 79. Let j(f) = 3*v(f) + 2*y(f). Determine j(s(p)). 33*p**2 + 70 Let c(q) be the first derivative of 2*q**3/3 - 9*q**2 + 2814. Let y(j) = -3*j**2. Give y(c(l)). -12*l**4 + 216*l**3 - 972*l**2 Let b(z) = 1051*z + 1515*z - 2226*z. Let t(i) = 3*i. Determine b(t(l)). 1020*l Let c(v) = -4*v - 1001. Let z(x) = -1861*x + 32. Calculate c(z(d)). 7444*d - 1129 Let g = -28 - -30. Let i(n) = 35*n**g - 22*n**2 - 17*n**2. Let u(b) be the first derivative of -b**2/2 + 21. What is u(i(o))? 4*o**2 Let f(v) = 1408*v**2 - 2112*v - 96. Let j(g) = 103*g**2 - 154*g - 7. Let w(o) = -7*f(o) + 96*j(o). Let r(x) = 65*x**2. Calculate r(w(c)). 66560*c**4 Let x(d) = 2*d**2. Suppose 5*s = 20, 8*f + s = 4*f + 108. Let q(z) = 20*z + f*z - 47*z + 60 + 48. Give x(q(y)). 2*y**2 - 432*y + 23328 Let q = 58 - 72. Let w be 0/(-2) - (12 + q). Let f(t) = 11 - 6 - 5 + w*t**2. Let l(n) = -4*n. Calculate f(l(k)). 32*k**2 Let d(h) = 2*h**2. Let v(o) = -24920655*o + 79174. Let k(r) = -3777*r + 12. Let z(x) = 39587*k(x) - 6*v(x). Give d(z(m)). 29353122*m**2 Let s(u) = -2025*u - 86. Let o(j) = -145*j - 6. Let c(p) = 86*o(p) - 6*s(p). Let t(w) = 7*w. Determine c(t(f)). -2240*f Let q(l) = 213*l - 22. Let p(u) = -321*u + 35. Let a(h) = 5*p(h) + 8*q(h). Let m(r) = -11*r. What is a(m(n))? -1089*n - 1 Let w(h) = -21401*h**2. Let q(k) = 326*k**2. Determine w(q(n)). -2274412676*n**4 Let z(u) be the second derivative of u**4/2 - 1691*u. Let a(m) = 2*m - 624. Determine z(a(x)). 24*x**2 - 14976*x + 2336256 Let q(y) = 3*y**2. Let x(m) be the second derivative of 11*m**4/12 - m**3/6 + 4077*m. Calculate q(x(b)). 363*b**4 - 66*b**3 + 3*b**2 Let d(m) be the second derivative of m**3/6 - 38*m. Let k(c) = 45*c + 14. Let t(q) = 23*q + 6. Let n(s) = 6*k(s) - 14*t(s). What is n(d(p))? -52*p Let n(u) = -u. Let c(f) be the first derivative of 2*f**3/3 + f**2 - 48*f - 5420. Determine c(n(q)). 2*q**2 - 2*q - 48 Let b(q) = 223*q**2 + q. Let i(f) = 7*f - 24. Let w(d) = -6*d + 20. Let y(v) = 5*i(v) + 6*w(v). Calculate b(y(j)). 223*j**2 - j Let j(v) be the second derivative of v**4/6 + 270*v - 2. Let z(k) = -15*k - 9. Calculate j(z(y)). 450*y**2 + 540*y + 162 Let i(q) = 2*q**2. Let m(z) = 56443881*z. Give m(i(l)). 112887762*l**2 Let l(o) = -912683 + 912683 + 2*o. Let t(d) = -41*d**2. Let f(h) = 2664*h**2. Let c(a) = 4*f(a) + 259*t(a). Determine c(l(s)). 148*s**2 Let t(d) be the first derivative of 2*d**3/3 + 15. Let p(n) = 8*n**2 + 6*n - 12. Let r(x) = -7*x**2 - 5*x + 14. Let g(k) = 5*p(k) + 6*r(k). Give t(g(c)). 8*c**4 - 192*c**2 + 1152 Let a(d) = -6*d + 7. Let q(j) = 34*j - 7*j + 15*j - 10*j. Determine q(a(b)). -192*b + 224 Let n(q) = 89*q + 84*q + q**2 - 173*q. Let d(r) = 87*r. Determine d(n(c)). 87*c**2 Let b(m) = -2*m**2. Suppose r = -0 + 4. Suppose 6*i - 71 = -59. Let u(v) = -8*v + r*v + 4*v - v**i. What is b(u(s))? -2*s**4 Let n(p) = -22*p**2 + 9*p**2 + p**2. Let x(g) be the third derivative of -g**5/60 + 134*g**2. Give n(x(s)). -12*s**4 Let p(u) = -6*u - 16. Let r(j) = 2*j + 5. Let s(i) = -5*p(i) - 16*r(i). Suppose -3*b + 12 = -0*b. Let g(d) = b*d - 2*d - 3*d. What is g(s(x))? 2*x Let v(c) = 134227*c. Let q(i) = -79*i. What is q(v(p))? -10603933*p Let l(x) = 6389779*x. Let v(z) = 2*z**2. What is v(l(k))? 81658551337682*k**2 Let j(i) = i**3 - 7*i**2 + 10*i - 8. Let g be j(6). Let r(b) = -g - 20 - 7*b + 36. Let l(n) = -n**2 - 3463*n + 3463*n. Calculate r(l(p)). 7*p**2 Let g(b) = 3*b**2 + b + 1. Let d(j) = 14*j**2 + 5*j + 5. Let y(c) = -d(c) + 5*g(c). Let v(l) = 156*l**2. What is y(v(q))? 24336*q**4 Let u(c) = -4839*c - 1. Let d(x) = -5161*x. Calculate d(u(m)). 24974079*m + 5161 Let z(v) = -189*v - 1. Let j(k) = -347*k**2 + 109*k**2 + 107*k**2 + 122*k**2. Calculate j(z(a)). -321489*a**2 - 3402*a - 9 Let s(d) = -429*d. Let n(y) = 99*y + 1. Let m(o) = 894*o + 9. Let x(t) = -m(t) + 9*n(t). Give x(s(k)). 1287*k Let w be (-60)/(-5)*(-57)/12. Let g = w - -58. Let r(k) = -k**2 - 3*k. Let d(c) = -c. Let u(v) = g*r(v) - 3*d(v). Let m(i) = 12*i. Calculate m(u(a)). -12*a**2 Let s(f) = 27*f + 154. Let t(b) = 105*b**2 + 6*b. What is s(t(n))? 2835*n**2 + 162*n + 154 Let d(s) = 4214771*s**2. Let k(l) = -6*l. What is d(k(a))? 151731756*a**2 Let x(y) = -361*y + 102*y + 647*y. Let j(a) = 7*a. Give j(x(d)). 2716*d Let c(x) = -41*x**2. Let o(h) be the first derivative of -64*h**3/3 - 1808. Determine c(o(l)). -167936*l**4 Let g(s) = -9*s**2 - s. Let l(z) be the first derivative of 1/2*z**2 + 0*z + 41. Give g(l(p)). -9*p**2 - p Let x(j) = 9*j. Let b(t) = -3*t - 5. Let v(r) = 8*r - 9. Let p(u) = -15*u + 16. Let f(h) = 6*p(h) + 11*v(h). Let z(n) = -3*b(n) + 5*f(n). Give z(x(i)). -9*i Let n be (3 + -8)/(2 - (3 + 0)). Let c(l) = -7 + 15 - n*l - 5*l - 8. Let o(v) = -26*v**2. Calculate c(o(f)). 260*f**2 Let g(r) = -3*r**2. Let u(c) = -48*c**2 - 132*c + 30. Let a(n) = -n**2 + 22*n - 5. Let i(d) = -24*a(d) - 4*u(d). What is i(g(t))? 1944*t**4 Let v(m) = 3*m**2 + 4. Let l be v(0). Let q(u) = -4*u - 4*u + 3*u - l*u + 4*u. Let p(d) = 5*d**2 + 4*d. Determine p(q(a)). 125*a**2 - 20*a Let g(l) be the first derivative of -212*l**3 + 62. Let z(t) = -13*t + 6. Let c(v) = 2*v - 1. Let y(w) = -6*c(w) - z(w). What is g(y(i))? -636*i**2 Let c(l) be the third derivative of 13*l**4/12 + l**3/3 - 1210*l**2 - 5. Let j(p) = -p**2. Calculate j(c(x)). -676*x**2 - 104*x - 4 Let u(d) = 2*d - 62. Let a(c) = 13. Let w(q) = 4*a(q) + u(q). Let h(y) = 3*y. Determine w(h(i)). 6*i - 10 Let x(f) = -67*f. Let t(h) = 9*h**2 - 394*h + 2. Calculate t(x(k)). 40401*k**2 + 26398*k + 2 Let v(g) = -g**2 + 599*g + 1630. Let k(a) = -a. What is v(k(c))? -c**2 - 599*c + 1630 Let w(f) = -7*f. Let o(q) = -7714198*q - 5. Give w(o(z)). 53999386*z + 35 Let u(g) = g**2 + 5*g - 185. Let q(l) = -33*l - 7. Calculate q(u(o)). -33*o**2 - 165*o + 6
{ "pile_set_name": "DM Mathematics" }
5. Let w(u) = -8*u + 3. Let s(x) = 4*b(x) + 5*w(x). Let t(g) = 2*g + 2. What is -4*s(h) - 10*t(h)? -4*h Let a(j) = 2*j**3 - 4*j + 5. Let c(k) = -3*k**3 + 5*k - 6. Let t be (-10)/5 - (1 - 2). Let v = t + 6. What is v*a(l) + 4*c(l)? -2*l**3 + 1 Let h(t) = t**2 + t + 1. Let u(j) be the third derivative of -j**5/10 - j**4/6 - 2*j**3/3 + 10*j**2. Give 4*h(k) + u(k). -2*k**2 Let g(q) = -2*q**3 + 5. Let r(t) = 5*t**3 - 9. Calculate -5*g(i) - 3*r(i). -5*i**3 + 2 Let u(g) be the second derivative of g**2/2 - 7*g - 3. Let i(h) = h + 3. Calculate -i(f) + 5*u(f). -f + 2 Let i(h) = -h**3 - 6*h**2 + 2*h + 7. Let a(c) = c**2 - 1. Give -6*a(w) - i(w). w**3 - 2*w - 1 Let c(g) = -20*g**3 - 7*g**2 - g + 7. Let p(q) = 19*q**3 + 6*q**2 + q - 6. Give 6*c(s) + 7*p(s). 13*s**3 + s Let p(j) = -24*j**2. Let h(q) = -2*q**2. Determine -24*h(x) + 3*p(x). -24*x**2 Let k(y) = -y**3 + y**2 + 1. Let z(p) = -3*p**3 + 9*p**2 + 4*p + 8. Let i(h) = 3*h**3 - 8*h**2 - 3*h - 7. Let u(f) = -3*i(f) - 2*z(f). Give -5*k(n) + u(n). 2*n**3 + n**2 + n Let b(r) = r + 3. Let o(v) = 2*v + 7. Let m(p) = -7*b(p) + 3*o(p). Suppose 0*y - 5*y + 55 = 0. Let z(c) = 6*c. Give y*m(w) + 2*z(w). w Let c(h) = -h**2 + h. Let f(k) = 13*k**2 - 9*k + 2. Let v(w) = 7*w**2 - 4*w + 1. Let l(p) = -4*f(p) + 7*v(p). Give -5*c(a) + l(a). 2*a**2 + 3*a - 1 Let v(m) = m**3 - m**2 - m + 1. Suppose 0 = 3*x + 9 - 0. Let d be (-1 + 2 + 0)*-1. Let p(h) = 2 + 3*h - 2*h - 6 - 2*h**3 + 3*h**2. Calculate d*p(f) + x*v(f). -f**3 + 2*f + 1 Let t(b) = b + 1. Let v(x) = -6*x - 3. Let w = 6 - 5. Let h(c) = w*v(c) + 5*t(c). Let u(n) = -3*n + 5. Let k be ((-2)/(-1))/((-2)/(-4)). Give k*u(q) - 11*h(q). -q - 2 Let q(g) = g**3 + g**2 - 4*g + 7. Let s = -20 - -13. Let j(o) = 3 - 3*o + 4 + o**3 - 2 + o**2. Determine s*j(z) + 5*q(z). -2*z**3 - 2*z**2 + z Let a(x) = 24*x**3 + 9*x. Let u(d) = -6*d**3 - 2*d. Calculate -4*a(t) - 18*u(t). 12*t**3 Let d(g) = 3 + 110*g - 4 - 102*g. Let l(n) = -17*n + 2. What is 9*d(f) + 4*l(f)? 4*f - 1 Suppose 13 = 4*v - 7. Let n = v + -6. Let w(f) = -3*f - 5. Let a(k) = 7*k + 10. Let g(q) = 4*a(q) + 10*w(q). Let y(j) = 1. Determine n*g(l) - 12*y(l). 2*l - 2 Suppose -3*x + 23 = 8. Let q(d) = -d + 2 + d + 1 + x*d. Let g(s) = -7*s + 1. Let t(o) = -22*o + 4. Let n(w) = -10*g(w) + 3*t(w). Give -3*n(c) + 2*q(c). -2*c Let u(f) = -3*f**3 + 4. Let q(g) = 3*g**3 - 5. Let a be (-8 - 0) + (-24)/((-64)/8). Calculate a*u(k) - 4*q(k). 3*k**3 Let z(t) = -1 - 4 - 27*t**3 - 5*t + 30*t**3. Let i(a) = 3*a**3 - 6*a - 6. Give 5*i(l) - 6*z(l). -3*l**3 Let w(a) = 3*a + 1. Let p(b) = b. Let z(q) = -q - 5. Let u be z(-6). Suppose 2*o = 3*o + 4. What is o*p(m) + u*w(m)? -m + 1 Let w(t) = -6*t**2 - 16*t + 6. Let n be 20/(-6)*60/40. Let p(u) = 2*u**2 + 5*u - 2. What is n*w(o) - 16*p(o)? -2*o**2 + 2 Let n(w) = 7*w**3 - 20*w**2 + 5. Let k(d) = -3*d**3 + 10*d**2 - 2. Give -5*k(x) - 2*n(x). x**3 - 10*x**2 Let z(q) = -3*q**3 - 10*q**2 - 7. Let g(f) = f**3 + 3*f**2 + 2. Calculate 21*g(v) + 6*z(v). 3*v**3 + 3*v**2 Let w(z) = -z + 1. Let f(i) = 12*i - 1. Calculate -f(d) - 4*w(d). -8*d - 3 Let r(z) = -4*z - 33. Let p(j) = -3*j - 34. Give 6*p(w) - 5*r(w). 2*w - 39 Let y(o) = 3*o**2 - 2*o - 7. Suppose -2*m = 2*v - 12, 15 = v - 0*m + 4*m. Suppose -2*a + v = -7. Let g(n) = 2*n**2 - 2*n - 6. Calculate a*g(s) - 4*y(s). -2*s**2 - 2*s - 2 Let p = -14 - -9. Let m(t) = -t**3 + 7*t**2 + t**3 - 5*t + 2*t**3. Let i(u) = -u**3 + 7*u + 0*u - 4*u - 4*u**2. Calculate p*i(h) - 3*m(h). -h**3 - h**2 Let x(l) = 49*l**3 - 35*l**2 - 35*l + 35. Let m(o) = -4*o**3 + 3*o**2 + 3*o - 3. Give 35*m(r) + 3*x(r). 7*r**3 Let j(w) = 7*w - 20. Let u(n) = -n - 1. What is -j(v) - 6*u(v)? -v + 26 Let r(b) = b**2 + b + 1. Suppose 3*v - 3 = 3*m, 0 = -2*m - 5*v + 16 + 3. Let x(o) = -7 + 6*o**m - o**3 + 4*o + 0*o + 14. Give 6*r(a) - x(a). a**3 + 2*a - 1 Let v(j) = -j + 3. Suppose 15 = 2*i + 3*i. Suppose 2*k - i*k - 2 = 0. Let c(n) = -2*n + 4. Give k*c(z) + 3*v(z). z + 1 Let q(i) = -2*i**3 - 3*i**2 + 5. Let w = -8 + 5. Let f(a) = a**3 + 2*a**2 - 4. Let n be -3 - 0*4/16 - -1. Give n*q(p) + w*f(p). p**3 + 2 Suppose 2*l = 22 - 12. Let j(q) = 2*q - 8. Let r(o) = -o + 5. Give l*j(a) + 8*r(a). 2*a Suppose -4*c + 3*p + 27 = 0, 2 = c - 0*c + 4*p. Let y be c/(-4)*30/(-9). Let w(t) = -1. Let s(f) = -2*f + 3. Calculate y*w(i) + s(i). -2*i - 2 Let l(m) = -12*m - 11. Let n(b) = -b - 1. What is -4*l(w) + 44*n(w)? 4*w Let n(b) = -5*b**2 - 3*b - 3. Let w(y) = -10*y**2 - 5*y - 5. Let x = -32 - -35. Calculate x*w(c) - 5*n(c). -5*c**2 Let v(c) be the third derivative of -c**6/120 - c**5/10 + 4*c**3/3 + 2*c**2. Let h(z) = 3*z**3 + 17*z**2 - 23. Calculate -6*h(x) - 17*v(x). -x**3 + 2 Let l(w) = 3*w**3 + 5*w**2 + 5*w - 2. Let q(a) = -a**3 - a**2 - a + 1. Suppose -10*y = -14*y + 4. Determine y*l(c) + 5*q(c). -2*c**3 + 3 Let l(u) = -4*u**2 - 3*u**2 + u**2 - 3*u - 4. Let y = 40 + -37. Let c(p) = 2*p**2 + 2*p. Let w be c(-2). Let z(q) = 5*q**2 + 2*q + 3. Determine w*z(x) + y*l(x). 2*x**2 - x Let i(d) = -8*d**2 + d - 5. Let l(f) = -7*f**2 + f - 4. Calculate 5*i(y) - 6*l(y). 2*y**2 - y - 1 Let n(a) = 35*a + 8. Let v(y) = 12*y + 3. Calculate -4*n(r) + 11*v(r). -8*r + 1 Let f(j) = 1. Let o(i) = -i + 5. Let y(s) = s**3 + 2*s**2 - s. Let b be y(-3). Let n(m) = 2*m - 10. Let d(p) = b*n(p) - 11*o(p). Calculate d(q) - 3*f(q). -q + 2 Let o = 1 + -6. Let i(q) = -q + 4. Let l(t) be the first derivative of t**2/2 - 7*t - 1. What is o*i(z) - 3*l(z)? 2*z + 1 Let f(y) = 2*y**2 + 2*y + 4. Suppose 3*a - 2*z = -18, -z = -a - 0 - 7. Let w(r) = r**2 + 1. Calculate a*w(l) + f(l). -2*l**2 + 2*l Let i(g) = -g**2 + g - 2. Let p(m) = -m**2 - 1. Let w be ((-51)/85)/(2/10). Give w*p(r) + i(r). 2*r**2 + r + 1 Let b(v) = -7*v + 1. Let g(t) = 6*t - 1. What is 5*b(m) + 6*g(m)? m - 1 Let h be (0 - 4) + 0/(-14). Let r(d) = d**2. Let p(q) = q**3 + 4*q**2. What is h*r(c) + p(c)? c**3 Let p(k) = -3*k**2 + k + 5. Let w(n) = -n**2 + 2. Give -3*p(d) + 8*w(d). d**2 - 3*d + 1 Let s(g) = -g**2 - g. Let x(u) = -7*u**2 - 2*u + 2. Let v(k) = -2*s(k) + x(k). Suppose o - 3 = -0. Let r(f) = 9*f**2 - 4. Determine o*r(w) + 5*v(w). 2*w**2 - 2 Let k(v) = v**2 - v - 1. Let b(x) = -x**2 + x + 3. Let t(f) = f**2 + 11*f + 15. Let r be t(-9). Give r*k(q) - b(q). -2*q**2 + 2*q Let k be (-2*(-1)/2)/1. Suppose 0 = 3*b - 4 + k. Let d(x) = 2*x. Let h(n) be the third derivative of n**4/12 - n**2. Give b*h(w) - 2*d(w). -2*w Let b = -9 - -13. Suppose 3*t = -4*v - 31, 2*t - 43 = b*v + t. Let d(n) = 3*n**3 + 5*n**2 - 5*n. Let p(j) = -j**3 - 2*j**2 + 2*j. Calculate v*p(z) - 4*d(z). -2*z**3 Let b(r) = -3*r**2 - 5*r - 4. Let i(x) = 4*x**2 + 6*x + 4. Let z(n) = -6*b(n) - 5*i(n). Let c(k) = -k**2 + 3. Calculate 3*c(u) - 2*z(u). u**2 + 1 Let s(n) = -1 + 16*n + 19*n - 2*n**2 - 26*n. Let k(q) = -3*q**2 + 13*q - 1. Suppose 0 = -4*g + j - 15, -j + 5 = -2*j. Calculate g*k(o) + 7*s(o). o**2 - 2*o - 2 Let v(o) = -6*o. Let a(m) = -3*m + 1. Let l be a(1). Let q(c) = -3*c. What is l*v(w) + 5*q(w)? -3*w Let g(o) = 5*o**3 - 6. Let c(p) = 4*p**3 - 7. What is 6*c(u) - 7*g(u)? -11*u**3 Let s(z) = z + 1. Suppose -3*x = -14 + 2. Let m be (-20)/6*6/(-4). Let c(j) = -x - j + 3*j - m*j. Determine 4*c(p) + 14*s(p). 2*p - 2 Let c = -5 - -8. Suppose -4*d + 50 = d. Let z be (-2 - d)/((-3)/2). Let s(l) = -4*l**2 + l + 1. Let u(x) = 11*x**2 - 2*x - 3. What is c*u(h) + z*s(h)? h**2 + 2*h - 1 Suppose -2 - 2 = -3*n - 2*o, 5*n - 12 = 2*o. Let k(v) = v + n*v**2 - v**2 + 0*v**2. Let a(z) = z**3 + 3*z**2 + 3*z. What is 2*a(y) - 6*k(y)? 2*y**3 Let q(f) = 5*f**3 - 3*f**2 + 5*f + 2. Let k(s) = -9*s**3 + 5*s**2 - 9*s - 4. Give 3*k(b) + 5*q(b). -2*b**3 - 2*b - 2 Let g(l) = 1. Let d(r) = -r + 1. Let q = 2 + 1. Suppose 3*v = -0*v + 6. Suppose -q*u + v - 5 = 0. Give u*d(k) + 2*g(k). k + 1 Let z(a) = -21*a**3 - 4*a**2 - 4. Let y(x) = -629*x**3 - 119*x**2 - 119. Determine -4*y(q) + 119*z(q). 17*q**3 Let m(l) = 9*l**2 - l**2 - 14 + 8. Let o = 9 + 2. Let c(u) = 15*u**2 - 11. Give o*m(z) - 6*c(z). -2*z**2 Let f(d) = 155*d**2 + 45*d + 45. Let t(y) = -14*y**2 - 4*y - 4. What is -4*f(r) - 45*t(r)? 10*r**2 Let d(p) = -p. Let h(w) = 9*w**2 - 2*w. Determine -2*d(q) + h(q). 9*q**2 Let c(m) = -7 + 0 - m**2 + 6*m + 0*m. Let a(z) = -z**2 + 5*z - 6. Let k be 13 + 3 + 4/(-2). Let s be ((-7)/k)/(2/(-20)). What is s*a(g) - 4*c(g)? -g**2 + g - 2
{ "pile_set_name": "DM Mathematics" }
14/29 (b) 5 (c) 5/2 a Which is the closest to 79? (a) 7 (b) -4 (c) 3/2 (d) 15 d What is the closest to -2 in 1/7, -4/9, 4, 4/7, -18? -4/9 What is the closest to 0.1 in -4, -4/7, -0.2, 296? -0.2 Which is the closest to -0.1? (a) 0 (b) -0.5 (c) -1/9 (d) -1 (e) -4.8423 c What is the nearest to 0 in -1/5, -480, 9, -3? -1/5 What is the closest to 106 in -2/9, 8, 2, -4/3, 4/3? 8 Which is the closest to -1.2? (a) 3/8 (b) -1/5 (c) 41 (d) -2 d Which is the nearest to -2/5? (a) 2/45 (b) 0.4 (c) -21 (d) -4 a Which is the nearest to 2? (a) 10.5 (b) -2/17 (c) -1/3 (d) -2 b What is the closest to 565 in 3, 0.3, -11? 3 What is the closest to 4.3 in -1, 58, -0.4? -0.4 What is the closest to 252/11 in 2/23, 5, -0.3, 3, 3/4? 5 Which is the nearest to 1? (a) 17/78 (b) 3 (c) -3.4 a Which is the closest to 0? (a) -1/29 (b) -5/2 (c) -112 a What is the nearest to 0 in 5, -0.7, 25, -2/21? -2/21 What is the closest to 3/5 in -2/43, 0.4, 28? 0.4 Which is the closest to -6? (a) -285 (b) 3 (c) 2/129 c What is the nearest to -1 in -0.1, 0.2, 1527/5? -0.1 Which is the nearest to -1302? (a) -3/5 (b) -1/3 (c) -0.4 (d) -1 d Which is the closest to -1? (a) -0.05516 (b) 0.5 (c) -26 (d) -0.3 d What is the closest to -49 in 2/5, 2/13, -0.2, -0.4, 63? -0.4 Which is the nearest to 1? (a) 1.2 (b) 0.02 (c) 2.574 a Which is the nearest to 0.01? (a) 131 (b) -3 (c) 0 c What is the nearest to -2/7 in -5, -3/2, 8.916? -3/2 Which is the closest to -1? (a) 2 (b) -5 (c) -0.1 (d) -4489 c What is the nearest to 1 in -12/17, 14, 1, -1.1, 0.5? 1 What is the closest to 1 in 1/9, -18, 4, -29? 1/9 Which is the nearest to 92? (a) 3 (b) -9 (c) 6 c What is the nearest to 0 in 21535, -4, -9? -4 What is the nearest to -0.3 in -1/15, 5/2, -46, 1/4, -1/9? -1/9 What is the nearest to 2/15 in 147, 1.3, -0.2, 5, 0.2? 0.2 Which is the nearest to 2? (a) -1/162 (b) -1 (c) -4 (d) 2277 (e) -0.5 a Which is the nearest to 3? (a) -1 (b) 565 (c) -0.26 (d) -5 c Which is the nearest to 17/6? (a) -1/324 (b) -1 (c) -5 a Which is the nearest to 0.1? (a) -85 (b) 2 (c) -282 (d) 2/19 (e) 1/3 d Which is the closest to -34? (a) 1 (b) -2 (c) 1/203 b What is the closest to -21 in 6, 5/6, 50? 5/6 What is the closest to -1/3 in 111/4, -1/4, -0.5, -0.3? -0.3 What is the nearest to -1 in 52, -2, 1/12, -9, -2/7? -2/7 Which is the closest to 2? (a) -0.6 (b) 6 (c) -4 (d) -20 (e) -3 a Which is the closest to 2/3? (a) 4/15 (b) 14 (c) -1 (d) -0.2 a What is the closest to 1/4 in 0.36, -2/7, -4/5, -4? 0.36 What is the nearest to -1 in 0.04, 7, 22/7, -0.2? -0.2 What is the closest to -1 in 4/9, 0.1, 0.2, 0.4, -2/5? -2/5 Which is the nearest to -37? (a) -1/6 (b) -5 (c) -3 (d) 10/7 b What is the closest to 6 in 28, -5/6, 38? -5/6 Which is the nearest to 1/4? (a) -2/19 (b) -1/4 (c) 5 (d) 0 (e) -46 d Which is the nearest to 0.06? (a) -32 (b) 0 (c) -1 (d) -2 b What is the closest to 2 in -10, 2/19, 0.04, 2? 2 Which is the closest to 0.1? (a) 1/46 (b) -0.1346 (c) 0.5 a What is the nearest to 0.2 in -1/11, -2/11, -9/4, 3? -1/11 Which is the closest to 40? (a) -6 (b) -5 (c) -2/5 c Which is the nearest to 1078? (a) -0.04 (b) 0.1 (c) -2/3 b What is the nearest to -3 in 4, 1065, -1? -1 Which is the nearest to 0.1? (a) -0.0498 (b) 1.87 (c) 3 a What is the closest to 2/7 in -1, 48, -3508, -3/4? -3/4 What is the nearest to 0.1 in -2/15, -0.04, -3/2, -7, 0.05? 0.05 Which is the nearest to -0.15? (a) 0 (b) -3/7 (c) -73 a Which is the nearest to -3? (a) -128 (b) -2/3 (c) 2/13 (d) -5 d Which is the nearest to 45? (a) 4 (b) -2/3 (c) 2/7 (d) 0 (e) 5 e Which is the nearest to 2? (a) 7 (b) -0.153 (c) -0.3 (d) 61 b What is the nearest to 0 in -566/3, -0.3, -8/123? -8/123 Which is the closest to -2/9? (a) -0.2 (b) 8/9 (c) 1.1 (d) -3 (e) 5 a Which is the closest to 394/9? (a) 0.5 (b) -0.5 (c) 4 c Which is the nearest to 0? (a) 1 (b) 11 (c) 0.5 (d) -4 (e) 2/11 e What is the closest to 27 in -1/2, -184, 2, 4, 9/5? 4 What is the closest to -1 in 2, -19, 12/13? 12/13 What is the closest to 1 in 3, -4/9, 0.0829, 4, -13? 0.0829 Which is the closest to 2/5? (a) 1/4 (b) 4 (c) -3213 (d) -2/7 a What is the closest to 15/8 in -0.2, 0.5, 10/73, -1? 0.5 What is the closest to 0 in -1, -65, 4, 0.5, 75? 0.5 Which is the nearest to 1/4? (a) 0.3 (b) -0.2 (c) -12 (d) 2/3 (e) -1 a Which is the closest to 8? (a) 10 (b) -0.1 (c) 0.3 (d) 2/11 (e) -77 a What is the closest to -3 in 11, -8/7, -2/13, 2, -0.03? -8/7 What is the nearest to -1 in 2561, 1, 2, 3? 1 Which is the nearest to 40? (a) -0.1 (b) -2 (c) -13 a What is the nearest to -2 in -0.16, -3, 0, -0.4? -3 What is the closest to 1 in -0.3, -338, -0.5? -0.3 Which is the nearest to 7/519? (a) -2/35 (b) 2/5 (c) 2 a What is the nearest to -1/3 in 4, 0.054, -0.3? -0.3 Which is the closest to 0.1? (a) 125 (b) -5 (c) -2/19 (d) -0.4 (e) 0.54 c Which is the nearest to -1? (a) 2/5 (b) 32 (c) 2 (d) 21/11 a What is the nearest to -2 in -4, -1, 2/7, 3/7, -5? -1 Which is the nearest to -3? (a) 14 (b) -3 (c) 1/7 (d) 0 b What is the nearest to 1/3 in 18, 14, 2, -113, -9? 2 Which is the nearest to 0.2? (a) -22 (b) 0 (c) -454 b Which is the nearest to 43/19? (a) -55 (b) 0.5 (c) 2/7 (d) -2 (e) -4 b Which is the closest to -0.003? (a) -2/47 (b) 3 (c) -3 (d) -1/3 (e) 4 a What is the closest to -35 in -4, -13/6, -3/5? -4 Which is the closest to 0.1? (a) 2/3 (b) 41 (c) -5 (d) -2/71 (e) 3/2 d Which is the nearest to 2? (a) 5 (b) -0.2 (c) 14/25 (d) 2/9 c Which is the closest to 2? (a) 1.928 (b) -1/3 (c) -6 (d) 3 a Which is the closest to 0.3? (a) -2 (b) 1/7696 (c) -1/24 b Which is the nearest to 0.0143? (a) -2/13 (b) -5 (c) 53 a Which is the nearest to 2? (a) -166 (b) -3/4 (c) 2 c Which is the closest to 2/25? (a) -18/49 (b) -0.4 (c) -2 (d) 0 (e) -1 d What is the closest to -0.174 in 1, 11, -9? 1 Which is the nearest to -1/3? (a) -11 (b) -1/22 (c) 0 (d) 9 (e) 2 b Which is the closest to -2? (a) -1 (b) 0.1 (c) 308.1 a Which is the closest to 33? (a) 27 (b) 19 (c) -2 a Which is the closest to 701/8? (a) 1 (b) -1 (c) -3 (d) -4 a What is the nearest to 3421 in 4/7, -0.4, 0.2, -0.3, 3? 3 What is the nearest to 21 in -4/15, 3/7, 0.02, -2/3? 3/7 What is the closest to -2 in 3/5, 0.5, -3/2, 0.174, -1/7? -3/2 What is the closest to -2/5 in -2/13, 0.55, 13, 0.4? -2/13 What is the closest to 3 in -0.5, -2/11, -126, 154/3? -2/11 What is the closest to -1 in 0.3, 4, 7/6, -1.214? -1.214 What is the closest to -1 in 0.2, -10, 202, 0.1? 0.1 What is the closest to 1/3 in -0.21, -3, 5, -1/23, 2/9? 2/9 Which is the nearest to -1? (a) -6 (b) -1 (c) 3/4 (d) -123 b Which is the nearest to 0.1? (a) 2 (b) -3 (c) 30/13 (d) 0.3 d Which is the closest to 2? (a) -1/4 (b) 0.11 (c) 16 b Which is the closest to -3? (a) 8831 (b) 0 (c) -0.2 c What is the closest to -1 in 0.03, -1, 1.1, -0.4? -1 Which is the nearest to -1/2? (a) 3/5 (b) -2/11 (c) -4 (d) 0.11293 (e) 4 b Which is the nearest to 250? (a) -5 (b) 1.3 (c) -5/3 b What is the nearest to 14/5 in 189, 2, -2, -0.3? 2 Which is the nearest to 4/9? (a) -3 (b) -1 (c) 3/5 (d) -30 c What is the nearest to -4/11 in -4, -130, -0.3? -0.3 Which is the closest to 2/3? (a) 4 (b) -120/23 (c) -1 (d) -3 (e) 0.5 e What is the closest to -1 in -1, -36, 0.5, -41, -0.21? -1 What is the closest to -2/45 in 1/10, 3, 14.7? 1/10 Which is the closest to -1? (a) -0.5 (b) 215.6 (c) 0 a What is the nearest to -456 in 0.2, 0, 18, -2/3? -2/3 Which is the nearest to 0.04? (a) -25/3 (b) -1/8 (c) -0.1 c Which is the nearest to 2? (a) -0.1 (b) -5/6 (c) -25 (d) 5 (e) -4.8 a What is the closest to 0.1 in 14, -1, 0.3, -3823? 0.3 Which is the nearest to -3.6? (a) 17 (b) -0.5 (c) 6 b What is the nearest to 1 in 4, 29.91, 0? 0 Which is the closest to -3? (a) -1.8 (b) 116 (c) 5 (d) 1/10 a What is the nearest to 4 in -3, 0.05, 1.1, 5, 0.4? 5 Which is the nearest to -15? (a) 0.4 (b) 115653 (c) 2 a Which is the nearest to 2.4? (a) -3 (b) 26 (c) -1/5 c What is the nearest to 1 in 5, -2, 1/7, 1934? 1/7 What is the closest to 2 in -1, -51000, -0.1? -0.1 Which is the closest to 2/3? (a) 0.251 (b) -3
{ "pile_set_name": "DM Mathematics" }
-3678656? -102185*v**2 - 2*v + 16 What is the b'th term of 23707801, 23707814, 23707827, 23707840, 23707853? 13*b + 23707788 What is the l'th term of 2280, 2416, 2596, 2820, 3088, 3400? 22*l**2 + 70*l + 2188 What is the l'th term of 53946, 53531, 53096, 52641? -10*l**2 - 385*l + 54341 What is the x'th term of -60682, -60970, -61450, -62122? -96*x**2 - 60586 What is the r'th term of -3366196, -6732377, -10098546, -13464703, -16830848, -20196981? 6*r**2 - 3366199*r - 3 What is the c'th term of 1430, 2198, 4288, 8366, 15098, 25150, 39188? 111*c**3 - 5*c**2 + 6*c + 1318 What is the k'th term of 502995, 502936, 502877, 502818, 502759? -59*k + 503054 What is the r'th term of 16697, 24244, 31791? 7547*r + 9150 What is the d'th term of -3239, -12880, -28939, -51398, -80239, -115444, -156995? 3*d**3 - 3227*d**2 + 19*d - 34 What is the m'th term of -281292, -281258, -281234, -281226, -281240, -281282? -m**3 + m**2 + 38*m - 281330 What is the j'th term of 9174, 19743, 30304, 40857, 51402? -4*j**2 + 10581*j - 1403 What is the a'th term of -756160421, -1512320840, -2268481259, -3024641678, -3780802097, -4536962516? -756160419*a - 2 What is the d'th term of -2469, -4989, -7563, -10191? -27*d**2 - 2439*d - 3 What is the z'th term of -55920, -111862, -167804, -223746, -279688? -55942*z + 22 What is the r'th term of 44019, 52778, 61525, 70254, 78959? -r**3 + 8766*r + 35254 What is the c'th term of 718645526, 718645527, 718645528, 718645529? c + 718645525 What is the y'th term of 76105, 76052, 75999, 75946? -53*y + 76158 What is the r'th term of 10240, 15641, 21042? 5401*r + 4839 What is the m'th term of -9467, -9545, -9645, -9767? -11*m**2 - 45*m - 9411 What is the h'th term of -6015833, -6015832, -6015831, -6015830, -6015829? h - 6015834 What is the j'th term of -1820345492, -1820345493, -1820345494, -1820345495? -j - 1820345491 What is the f'th term of -20581, -20333, -19727, -18583, -16721, -13961? 30*f**3 - f**2 + 41*f - 20651 What is the h'th term of 9846, 9952, 10190, 10632, 11350, 12416, 13902, 15880? 12*h**3 - 6*h**2 + 40*h + 9800 What is the z'th term of -336423, -336109, -335255, -333591, -330847, -326753, -321039? 45*z**3 - z - 336467 What is the r'th term of -843747, -3375011, -7593793, -13500099, -21093935? -r**3 - 843753*r**2 + 2*r + 5 What is the y'th term of -1312, -3182, -6298, -10660, -16268? -623*y**2 - y - 688 What is the q'th term of 383945, 383247, 382549, 381851, 381153? -698*q + 384643 What is the b'th term of -271, -1547, -4527, -9913, -18407, -30711? -117*b**3 - 150*b**2 - 7*b + 3 What is the f'th term of -1185019, -1185021, -1185023, -1185025, -1185027? -2*f - 1185017 What is the r'th term of -12285903, -24571816, -36857729, -49143642? -12285913*r + 10 What is the f'th term of 4377202, 4377188, 4377150, 4377076, 4376954, 4376772, 4376518, 4376180? -2*f**3 + 4377204 What is the o'th term of 237174116, 237174123, 237174142, 237174179, 237174240, 237174331, 237174458? o**3 + 237174115 What is the g'th term of 15167623, 15167668, 15167713? 45*g + 15167578 What is the s'th term of 4435, 8848, 13211, 17500, 21691, 25760? -4*s**3 - s**2 + 4444*s - 4 What is the o'th term of -7084, -28833, -65072, -115801, -181020, -260729, -354928? -7245*o**2 - 14*o + 175 What is the g'th term of -32801, -32583, -32365, -32147, -31929? 218*g - 33019 What is the f'th term of -235370, -470731, -706088, -941441, -1176790? 2*f**2 - 235367*f - 5 What is the y'th term of -353217, -706606, -1059995, -1413384? -353389*y + 172 What is the k'th term of 1212, 1718, 2542, 3690, 5168, 6982? k**3 + 153*k**2 + 40*k + 1018 What is the d'th term of -6057840, -6057843, -6057846, -6057849, -6057852, -6057855? -3*d - 6057837 What is the d'th term of -568, -874, -1054, -1048, -796? 10*d**3 + 3*d**2 - 385*d - 196 What is the x'th term of -21577, -21323, -21057, -20773, -20465, -20127? x**3 + 247*x - 21825 What is the f'th term of -97999, -97833, -97667, -97501? 166*f - 98165 What is the o'th term of -2005, -1679, -1133, -367, 619, 1825? 110*o**2 - 4*o - 2111 What is the r'th term of -18555, -74259, -167107, -297105, -464259, -668575, -910059, -1188717? -r**3 - 18566*r**2 + r + 11 What is the w'th term of -8035, -13441, -18955, -24571, -30283, -36085, -41971, -47935? w**3 - 60*w**2 - 5233*w - 2743 What is the k'th term of 51, 873, 2811, 6327, 11883? 77*k**3 + 96*k**2 - 5*k - 117 What is the n'th term of -187411, -374843, -562275, -749707? -187432*n + 21 What is the v'th term of 11911962, 23823927, 35735892, 47647857, 59559822? 11911965*v - 3 What is the v'th term of 5511, 10632, 15363, 19704, 23655, 27216? -195*v**2 + 5706*v What is the x'th term of -157913, -315716, -473519? -157803*x - 110 What is the g'th term of 205794, 411556, 617318, 823080? 205762*g + 32 What is the s'th term of 15439, 15448, 15465, 15490, 15523, 15564? 4*s**2 - 3*s + 15438 What is the m'th term of 2260, 5167, 8172, 11269, 14452? -m**3 + 55*m**2 + 2749*m - 543 What is the f'th term of -42147681, -42147684, -42147687, -42147690, -42147693, -42147696? -3*f - 42147678 What is the r'th term of -5652, -8720, -11780, -14832, -17876, -20912? 4*r**2 - 3080*r - 2576 What is the t'th term of 1425, 2754, 4075, 5382, 6669, 7930? -t**3 + 2*t**2 + 1330*t + 94 What is the u'th term of -276, -786, -1792, -3540, -6276? -41*u**3 - 2*u**2 - 217*u - 16 What is the z'th term of -5713, -26416, -62109, -112792, -178465, -259128, -354781? -7495*z**2 + 1782*z What is the w'th term of -126785, -506730, -1139831, -2026082, -3165477, -4558010, -6203675, -8102466? w**3 - 126584*w**2 - 200*w - 2 What is the j'th term of -194478, -194249, -194022, -193797, -193574, -193353, -193134? -j**2 + 232*j - 194709 What is the h'th term of -13735, -27672, -41607, -55540, -69471, -83400? h**2 - 13940*h + 204 What is the h'th term of 33, -485, -1319, -2457, -3887? 2*h**3 - 170*h**2 - 22*h + 223 What is the x'th term of 13454, 26794, 39912, 52700, 65050, 76854? -18*x**3 - 3*x**2 + 13475*x What is the m'th term of 299177, 298750, 298037, 297038? -143*m**2 + 2*m + 299318 What is the m'th term of 950559825, 1901119650, 2851679475, 3802239300, 4752799125? 950559825*m What is the x'th term of 28845, 28333, 27823, 27315, 26809, 26305, 25803? x**2 - 515*x + 29359 What is the s'th term of -59878, -59871, -59870, -59875, -59886, -59903, -59926? -3*s**2 + 16*s - 59891 What is the v'th term of 4018611, 4017885, 4017161, 4016439, 4015719, 4015001, 4014285? v**2 - 729*v + 4019339 What is the h'th term of -2243753, -2244100, -2244447? -347*h - 2243406 What is the h'th term of -6580, -12699, -18814, -24925? 2*h**2 - 6125*h - 457 What is the o'th term of 341, 2149, 5147, 9323, 14665, 21161, 28799, 37567? -2*o**3 + 607*o**2 + o - 265 What is the r'th term of -11795, -11775, -11729, -11645, -11511, -11315, -11045? 2*r**3 + r**2 + 3*r - 11801 What is the w'th term of 156141, 312278, 468413, 624546? -w**2 + 156140*w + 2 What is the p'th term of -8637598, -8637600, -8637602, -8637604, -8637606, -8637608? -2*p - 8637596 What is the g'th term of 2301, 733, -835? -1568*g + 3869 What is the c'th term of -41789, -83583, -125377, -167171, -208965, -250759? -41794*c + 5 What is the f'th term of -2596, -2664, -2760, -2896, -3084, -3336? -2*f**3 - 2*f**2 - 48*f - 2544 What is the v'th term of -2381089, -4762181, -7143273, -9524365, -11905457? -2381092*v + 3 What is the r'th term of 18938, 76149, 171500, 304991? 19070*r**2 + r - 133 What is the f'th term of -6603317, -6603314, -6603309, -6603302, -6603293, -6603282, -6603269? f**2 - 6603318 What is the q'th term of -3528, -4762, -5996, -7230, -8464? -1234*q - 2294 What is the a'th term of -24909902, -24909894, -24909886, -24909878, -24909870? 8*a - 24909910 What is the p'th term of 51705218, 103410435, 155115652, 206820869, 258526086, 310231303? 51705217*p + 1 What is the f'th term of -1366, -1362, -1320, -1210, -1002, -666, -172, 510? 5*f**3 - 11*f**2 + 2*f - 1362 What is the t'th term of -2060126, -2060079, -2060032, -2059985? 47*t - 2060173 What is the s'th term of -84525, -169080, -253685, -338364, -423141? -4*s**3 - s**2 - 84524*s + 4 What is the g'th term of 6267382, 6267386, 6267390, 6267394, 6267398? 4*g + 6267378 What is the h'th term of 28919, 115785, 260571, 463283, 723927? h**3 + 28954*h**2 - 3*h - 33 What is th
{ "pile_set_name": "DM Mathematics" }
ich is the closest to 0.1? (a) 4 (b) p (c) -0.1 (d) v b Let n = 505.4 - 506.4. Suppose 5*y - 6 = 29. Let k be 36/(-5) - y/(-35). Which is the closest to n? (a) k (b) 0 (c) -0.1 c Let x = -264 + 517. Let i = 251.59 - x. Let u = 0.91 + i. Which is the closest to 1? (a) 2/3 (b) -1 (c) u a Let g be 2/(-23) + (-43725)/(-6900) + -1*6. Let a = 6 + -22. What is the nearest to a in g, 1/7, -0.4? -0.4 Let f = -138 - -136.95. Let i = 2.75 - f. Let j = -3.8 + i. Which is the nearest to -2? (a) j (b) 2/21 (c) -0.7 c Let y = 82.67 - 86.67. Which is the closest to 1/8? (a) -7 (b) y (c) 3/4 (d) 3/8 d Let m = 107 + -49. Let k = -57.9 + m. What is the nearest to k in -3, -0.3, -0.055? -0.055 Let l(w) = w**2 + 35*w + 260. Let z be l(-52). Let x be z/5304 + -2*1/6. What is the closest to -27 in -2, 5/2, -0.4, x? -2 Let d be (-2933)/(-49) + 4/28. Let n = d - 181/3. Which is the closest to -2/5? (a) 78 (b) n (c) 0 b Let k = 4263 + -4261.4. Which is the nearest to k? (a) 3 (b) -5 (c) -2/7 (d) -8 a Let j = 0.048 - -0.152. Let f = -109 - -110. Let k = -0.2 + -0.3. What is the closest to j in -1/6, f, k? -1/6 Let c be 3 - (37/(-296))/(15/(-280)). Suppose 4*q + 65 = d, 5*q + 95 + 2 = -4*d. Let m = 26 + q. What is the closest to c in 4, m, 1? 1 Let t = 0.212 + -89.612. Let z = -89.3 - t. Which is the nearest to z? (a) 2 (b) -1 (c) 4/5 (d) -1/3 d Let z = 0.64 + -1.17. Let q = z + 0.73. Let t be ((-8)/(-25))/(28/70). What is the nearest to 0 in 2, t, q? q Let x = 805 - 947. What is the closest to 0 in 4, 2/3, x, -1? 2/3 Let z = -33/949 + -784/4745. Suppose -2*g + 0 - 4 = 0. What is the closest to 0.04 in 4, g, 3/2, z? z Let u = -462218.357 - -462502. Let p = 283 - u. Let l = p - -0.043. What is the closest to -1 in l, -0.2, 4? l Let w = -46 - -46.34. Let j = w + -0.24. Let y be (-9 - -6) + (-146)/(-50). Which is the nearest to j? (a) 0 (b) 0.1 (c) y b Let g = 3056 - 21389/7. What is the closest to g in -33, 0.1, 0.3, -1/7? 0.3 Suppose -7 + 1 = 4*n + 2*f, -n = -4*f - 12. Suppose q + 10 = 5*q + 2*u, n = 3*q + 3*u - 9. What is the nearest to -1/2 in q, -6, 3/5, 0.2? 0.2 Let g = -21 - -11. Let w = -0.079 - -184.679. Let j = w + -185. Which is the nearest to g? (a) 2/3 (b) j (c) -2/21 b Let d = -0.91 - -0.81. What is the nearest to -0.1 in d, 1/3, 14? d Let g = 210 - 207. Which is the nearest to -0.1? (a) g (b) -5 (c) -62 (d) -3 d Let o = -155 - -1707/11. Let j = 73.07 + -73. What is the closest to j in 0.4, o, -4? o Let z(w) = -2*w**3 - 23*w**2 - 10*w + 6. Let s be z(-11). Which is the closest to -83/2? (a) -0.5 (b) s (c) -4 (d) 0 b Let f = -0.061 - 41.939. Let x = 630 + -587. Let k = f + x. Which is the nearest to k? (a) 1/3 (b) 4 (c) 5 a Let l = 2 + 1. Let w = 2.4643 - 6.4643. Which is the closest to -1? (a) 1 (b) w (c) -0.02 (d) l c Let x = 4447 - 4570.96. Let n = x - -124. What is the nearest to 0 in n, 1/3, -7? n Let m = -6 + 5. Let l = -82.4 + 81.739. Let s = l + -0.339. Which is the nearest to m? (a) -3/2 (b) s (c) -1/3 b Let o = -36.4 - 2.2. Let k = 3.6 + o. Let n be 0/(-1) - 2/(-8). Which is the nearest to 1/4? (a) n (b) 0.1 (c) k a Let a = 74084/17 - 4358. What is the closest to -3/8 in 208, a, -2/13? -2/13 Let t = -0.22336 - -5.22336. Which is the nearest to -0.13? (a) 6 (b) 0.1 (c) t b Suppose -32*s + 55*s = -60*s + 332. Which is the closest to -2/7? (a) 1 (b) s (c) -1 (d) 36 c Let u = -5061 + 5098. Which is the closest to 15? (a) -3 (b) 0.3 (c) 1 (d) u c Suppose -4*q = 2*r - 20, -3*r - q + 7 + 3 = 0. What is the nearest to -2/67 in -2, r, -1, 1? -1 Let z = 0.1799 - 0.2199. Which is the nearest to -2/7? (a) 0 (b) z (c) 1/6 (d) -5 b Let h = -12 + 23. Let p = h + -13.6. Let o = p - -1.6. Which is the nearest to -2? (a) -1/3 (b) o (c) 2/9 b Let s be (-1)/(-5)*1 + (-4)/60*6. What is the closest to -4 in -3/8, 0.1, s? -3/8 Let a = -16719.09 - -16719. What is the nearest to a in -0.3, 7/5, -0.01? -0.01 Let c = -7 - -7.6. Let n = -3.6 + c. Let o = -68 - -69. What is the nearest to o in n, 3, 0.1? 0.1 Let j = -0.6395 + 0.5895. Which is the nearest to 0? (a) 9 (b) -4 (c) j c Let s = 0.46 - -0.54. Let r = 0.93 + -0.33. Let b = r + -0.6. What is the nearest to s in b, -4, 4? b Let d = -0.9 - -0.4. Suppose 813*g - 14 = 808*g - 4. Which is the closest to -0.1? (a) -4 (b) d (c) g b Let d be (-35)/42*(-40)/50. Let y = -0.21 - -0.07. Let o = -0.64 - y. Which is the closest to d? (a) -1 (b) -1.1 (c) o c Let x = 3515 - 3513. Which is the nearest to -3? (a) x (b) -0.4 (c) -0.6 (d) -24 c Let v be (-1)/(1/2*(2 + 0)). Let m = 7 - 2. Let n = 4566 - 4568. What is the closest to v in -0.5, m, n? -0.5 Let t = 3.36 + 0.64. Suppose 0 = y - 14*y. What is the closest to y in -1/9, 0.04, t? 0.04 Let t = -4016 + 4017. Which is the nearest to 0? (a) t (b) -2/3 (c) 9 b Let j = -5.08 + -221.52. Let k = j + 227. Which is the nearest to -1? (a) k (b) 3 (c) -6/19 c Let s = 30.916 - 30.716. Let z = -0.4 - 0.1. Which is the nearest to -1/5? (a) -0.2 (b) s (c) z (d) 0 a Let y = 0.10541 - 1.10541. What is the closest to -2 in 0.03, 36, 0, y? y Let p be -7*-5*(-6)/(-15). Let d(z) = z**2 - 15*z + 18. Let o be d(p). Which is the nearest to 4/5? (a) -0.5 (b) o (c) -2 a Let f(i) = i**3 - 8*i**2 + 14*i + 1. Let w be f(6). Suppose -w*s + 57 = 5. Let h be (-15)/30 + 22/s. Which is the closest to 0.1? (a) -8 (b) 0.3 (c) h b Let s = -17/54 - -22/27. Let f = -0.11 + -0.89. Let v = f - 2. What is the nearest to s in -2/27, -4, v? -2/27 Let y = 4727 - 4730. Which is the closest to -0.1? (a) 99/5 (b) -0.5 (c) y b Let h = 6.4 - 0.4. Suppose -718*b - 714*b = -1438*b + 6. What is the closest to -1/2 in 0, b, h? 0 Let m = 8262 + -8260. What is the closest to -1/2 in m, -2/3, 6, -3/20? -2/3 Let m = 0.8 + -0.3. Let d = 4.92 - -389.08. Let w = d - 392. What is the closest to 3 in -1, m, w? w Let w = -0.0897 - -0.1697. Suppose -5*h - 2*y - 775 = 0, 439 = -3*h + 3*y + y. Let o = -3211/21 - h. What is the nearest to 2/5 in o, 0.5, w? 0.5 Suppose 16 = 32*a + 64 - 16. Let m = -0.6 - -0.6. What is the closest to m in 3, 0.4, 18, a? 0.4 Let x be 3/(((-25)/70)/(20/12)). Let j = -2 - -1.8. Which is the closest to x? (a) 1/6 (b) 0.4 (c) j c Let x be (1/6)/((-4)/6). Let b = 6107 + -6104. Let j = 0.07 + 10.93. What is the closest to j in x, 5, b? 5 Let p = -1323 + 1323.05. What is the closest to -0.1 in 0.11, 3, 1, p? p Let s = 0.01 + 0.19. Let v(o) = 37 - 4*o + 7 - 3*o. Let q be v(7). Which is the closest to 0? (a) q (b) s (c) -3 b Let j be 30/9 - (11 - 7). Let s = 0.27 - -0.03. Let h = 0.118 + 2.882. What is the nearest to j in s, -3/7, h? -3/7 Let d = -345 + 345.2. Let f = 15.6 + -15. What is the nearest to f in -0.5, d, -5? d Let f be (-2*(-9)/(-36))/1*16/2. Which is the nearest to 2/93? (a) f (b) -5 (c) -2 (d) -0.2 d Let b = -0.0734 - 0.9466. What is the nearest to b in -5, -4, 13? -4 Let p = 209.7 + -208.7. Let a = -1.4 + 0.4. Let c = a - -1.4. What is the nearest to p in c, 2/7, 1? 1 Suppose -5*r = 3*m + 3, -3*r = 4*m - 2*m + 2. Let g = 5.13 + -5. Let y = -9.3 + 9. Which is the nearest to -0.1? (a) g (b) y (c) r c Suppose 3*g - w + 25 = 0, 12 = -g + 6*w - 2*w. Let i = -1711 + 1619.3. Let k = 92 + i. Which is the closest to 0? (a) 5 (b) g (c) k c Let l = -97973/5 - -20039. Let d = -444 + l. What is the nearest to -0.1 in 5, 1/4, d, -2/17? -2/17 Let u = -47 + 17. Let c be (1/5)/(18/u). What is the nearest to 0.1 in 1.6, 0.5, c? 0.5 Let u = 0.99 - 0.09. Suppose 24 - 28 = -4*o. What is the closest to o in 1, u, 3/5, -2? 1 Let s = 6893 - 6891. Which is the closest to 0.2? (a) s (b) 2.1 (c) 0.12 c Let r be 1*(4/(-30))/((-2)/(-20)). Let q be (-168)/36 - 4/12. What is the closest to 22 in r, -3, q? r Let i = -38255/76502 - -2/38251. What is the closest to 0.13 in i, -3/5, -1/13, 0.4? -1/13 Suppose t - 5 = -8. Let s be (6/(-42))/(30/(-12) - -3). What is the nearest to -2 in s, -0.1, t? t Let v = -0.1 - -5.1. Let q(i) = 11*i + 35. Let h(j) = -6*j - 17. Let t(r) = -10*h(r) - 6*q(r). Let d be t(-7). Which is the nearest to 1? (a) -2 (b) v (c) d c Suppose -12*z = -3*z + 8*z. Suppose 2*p = 6*d - 3*d + 14, z = -d + 3*p - 14. What is the closest to 2/13 in -0.5, d, 5, -2/5? -2/5 Suppose 4*a + 24 = -10*j + 6*j, -20 = 5
{ "pile_set_name": "DM Mathematics" }
ob of picking 1 x, 1 n, and 2 j when four letters picked without replacement from xjjxqxxzxnxjzxkqqxnj? 32/1615 Three letters picked without replacement from tvvgayvgyyatvvvvjyj. What is prob of picking 1 v and 2 t? 7/969 What is prob of picking 1 c and 2 b when three letters picked without replacement from nnncbbsbcnsccnesco? 5/272 Two letters picked without replacement from {w: 10, e: 2, c: 1, r: 2, y: 1, n: 2}. Give prob of picking 2 n. 1/153 Calculate prob of picking 2 b and 1 l when three letters picked without replacement from lblbll. 1/5 Two letters picked without replacement from {v: 5, j: 3}. What is prob of picking 1 v and 1 j? 15/28 Four letters picked without replacement from pzzzzzzpzz. Give prob of picking 1 p and 3 z. 8/15 Three letters picked without replacement from mmfmmmfrfrmrrrrmrmm. What is prob of picking 3 f? 1/969 Four letters picked without replacement from {b: 2, d: 1, h: 2}. What is prob of picking 4 b? 0 Calculate prob of picking 1 n and 3 z when four letters picked without replacement from zzznznnznnnzz. 42/143 What is prob of picking 2 y and 1 j when three letters picked without replacement from {y: 3, d: 4, o: 4, r: 1, j: 1}? 3/286 Four letters picked without replacement from {z: 2, w: 3, y: 1, a: 2, r: 9, g: 1}. Give prob of picking 2 r, 1 y, and 1 w. 3/85 Two letters picked without replacement from mmvsmmznmtm. What is prob of picking 1 z and 1 t? 1/55 What is prob of picking 4 x when four letters picked without replacement from {x: 7, k: 3, m: 3}? 7/143 Three letters picked without replacement from {d: 1, x: 5, y: 4}. What is prob of picking 3 y? 1/30 Three letters picked without replacement from pldpitndpnn. What is prob of picking 1 t and 2 p? 1/55 What is prob of picking 1 a and 2 w when three letters picked without replacement from awwwawawwawaaawwwww? 154/323 Four letters picked without replacement from {i: 2, b: 5, j: 7}. Give prob of picking 1 i and 3 j. 10/143 Two letters picked without replacement from {t: 1, a: 1, i: 1, h: 1, o: 1, u: 2}. What is prob of picking 1 o and 1 a? 1/21 Four letters picked without replacement from xkxdddkpkxbdbkdxp. Give prob of picking 1 p, 1 b, and 2 x. 6/595 Calculate prob of picking 2 j when two letters picked without replacement from {j: 12, o: 2, k: 3, x: 1, m: 1}. 22/57 Two letters picked without replacement from {w: 1, h: 1, t: 1, c: 1, d: 1}. Give prob of picking 1 t and 1 w. 1/10 Four letters picked without replacement from vmvvvvvmv. Give prob of picking 1 m and 3 v. 5/9 What is prob of picking 1 k and 2 r when three letters picked without replacement from rkrrk? 3/5 Three letters picked without replacement from fsffffffssfsfffssfs. What is prob of picking 3 f? 220/969 Calculate prob of picking 2 b and 1 d when three letters picked without replacement from odhnnnndbhddbnddndkd. 2/285 Three letters picked without replacement from iuqqaaqiauq. What is prob of picking 1 u and 2 q? 4/55 Calculate prob of picking 3 d when three letters picked without replacement from {o: 1, d: 4, a: 4, s: 2}. 4/165 Two letters picked without replacement from qzzkqqkk. What is prob of picking 2 z? 1/28 What is prob of picking 3 w and 1 q when four letters picked without replacement from bwqppbddcwcddqbw? 1/910 Four letters picked without replacement from {s: 5, q: 2}. What is prob of picking 2 q and 2 s? 2/7 Two letters picked without replacement from {p: 2, k: 1, g: 2, q: 3, i: 3, m: 1}. What is prob of picking 1 q and 1 p? 1/11 What is prob of picking 1 w and 1 r when two letters picked without replacement from rrrbbbbbebwbrrbwbew? 5/57 Two letters picked without replacement from {a: 1, l: 8, p: 8}. What is prob of picking 1 a and 1 p? 1/17 What is prob of picking 2 k when two letters picked without replacement from {n: 1, o: 4, s: 7, k: 1}? 0 Calculate prob of picking 2 l when two letters picked without replacement from {h: 1, l: 5, f: 6, p: 5}. 5/68 Calculate prob of picking 3 x and 1 e when four letters picked without replacement from {e: 2, v: 2, p: 2, x: 6}. 8/99 Two letters picked without replacement from {j: 1, v: 2, k: 2}. Give prob of picking 2 v. 1/10 Four letters picked without replacement from {b: 3, k: 5, w: 3}. What is prob of picking 3 b and 1 w? 1/110 Two letters picked without replacement from ttvvt. Give prob of picking 2 v. 1/10 Two letters picked without replacement from wwtv. Give prob of picking 1 w and 1 v. 1/3 Calculate prob of picking 1 z and 1 x when two letters picked without replacement from xoxxxtzooooxxox. 1/15 What is prob of picking 3 f when three letters picked without replacement from {f: 7}? 1 What is prob of picking 1 k and 1 l when two letters picked without replacement from {g: 2, c: 1, m: 1, l: 6, k: 3}? 3/13 Four letters picked without replacement from {f: 1, s: 11}. What is prob of picking 4 s? 2/3 Three letters picked without replacement from {r: 12, c: 1}. Give prob of picking 2 r and 1 c. 3/13 Three letters picked without replacement from {u: 8, i: 1, d: 1, p: 1, z: 1, w: 2}. Give prob of picking 1 p and 2 w. 1/364 Four letters picked without replacement from qtrxqmbxr. What is prob of picking 1 b, 1 x, and 2 r? 1/63 Two letters picked without replacement from {x: 1, b: 1, u: 1, r: 1, o: 16}. What is prob of picking 1 x and 1 b? 1/190 What is prob of picking 2 f and 1 w when three letters picked without replacement from {w: 6, f: 2}? 3/28 Calculate prob of picking 2 e when two letters picked without replacement from memmmmmemmmmme. 3/91 Three letters picked without replacement from tttttttttmtmtttttttm. Give prob of picking 3 m. 1/1140 Two letters picked without replacement from {p: 2, h: 1, k: 1, e: 3, m: 4}. What is prob of picking 1 p and 1 m? 8/55 Calculate prob of picking 1 n and 1 e when two letters picked without replacement from {j: 1, v: 3, e: 1, n: 2, u: 1, m: 3}. 2/55 Calculate prob of picking 2 v and 1 f when three letters picked without replacement from fvvvvsf. 12/35 Calculate prob of picking 1 q, 2 o, and 1 t when four letters picked without replacement from ooooqmoqt. 10/63 Three letters picked without replacement from {p: 8, x: 4, o: 1, w: 6, m: 1}. Give prob of picking 1 m, 1 w, and 1 x. 2/95 What is prob of picking 2 w when two letters picked without replacement from qwqqiiqwiqqqi? 1/78 Calculate prob of picking 1 g and 3 e when four letters picked without replacement from {i: 1, w: 1, q: 14, e: 3, g: 1}. 1/4845 Calculate prob of picking 3 f and 1 c when four letters picked without replacement from {f: 6, r: 1, u: 9, c: 1}. 1/119 Four letters picked without replacement from {h: 7, y: 1, d: 3, q: 5}. Give prob of picking 1 y, 1 q, 1 h, and 1 d. 3/52 Calculate prob of picking 2 x when two letters picked without replacement from {g: 4, x: 7}. 21/55 Calculate prob of picking 1 x, 1 o, 1 d, and 1 j when four letters picked without replacement from dnntjxddttojddnttnn. 5/1938 Two letters picked without replacement from {d: 3, n: 3, f: 1, o: 6}. Give prob of picking 1 d and 1 n. 3/26 Two letters picked without replacement from mmummmmmu. What is prob of picking 2 m? 7/12 Two letters picked without replacement from {y: 8, l: 8, u: 1}. Give prob of picking 1 l and 1 u. 1/17 What is prob of picking 1 h and 1 k when two letters picked without replacement from gacaaagkkchccaac? 1/60 What is prob of picking 3 h when three letters picked without replacement from {h: 7}? 1 Three letters picked without replacement from {g: 3, y: 4, h: 1, r: 2, c: 4}. Give prob of picking 1 r, 1 g, and 1 y. 6/91 Three letters picked without replacement from {o: 5, b: 3}. What is prob of picking 3 o? 5/28 What is prob of picking 1 g and 1 i when two letters picked without replacement from {i: 4, t: 10, x: 1, g: 1, d: 4}? 2/95 Two letters picked without replacement from orootrorro. What is prob of picking 1 r and 1 o? 4/9 What is prob of picking 2 v and 1 d when three letters picked without replacement from vvdqdvdddlvqq? 15/143 What is prob of picking 1 i and 2 v when three letters picked without replacement from {s: 2, v: 3, p: 2, i: 4}? 4/55 What is prob of picking 4 l when four letters picked without replacement from lzllllllzlll? 14/33 Two letters picked without replacement from fbsqa. What is prob of picking 1 s and 1 a? 1/10 Calculate prob of pi
{ "pile_set_name": "DM Mathematics" }
41 What is the next term in -717, -4583, -15081, -35529, -69245? -119547 What is the next term in 110, 153, 228, 341, 498, 705, 968, 1293? 1686 What comes next: -66, -89, -64, 27, 202? 479 What comes next: 185, 1554, 5285, 12560, 24561, 42470, 67469? 100740 What is next in -4575, -9004, -13433, -17862? -22291 What is next in -2275, -2573, -2871, -3169, -3467, -3765? -4063 What is next in -101, -135, -167, -197, -225, -251, -275? -297 What comes next: -369, -748, -1139, -1542, -1957, -2384? -2823 What is the next term in 1414, 11503, 38898, 92251, 180214, 311439? 494578 What comes next: 54, 118, 290, 624, 1174, 1994? 3138 What comes next: 5372, 5427, 5490, 5561? 5640 What is next in 1156, 2302, 3444, 4582? 5716 What is next in -4356, -8753, -13150, -17547? -21944 What is the next term in -643, -2533, -5671, -10057? -15691 What is the next term in 622739, 622740, 622741, 622742, 622743, 622744? 622745 What comes next: -26079, -26080, -26081, -26082? -26083 What is the next term in -82874, -82856, -82836, -82814, -82790? -82764 What is next in 115, 171, 243, 331, 435, 555? 691 What is the next term in -216, -2792, -9778, -23376, -45788, -79216? -125862 What comes next: 1478, 6119, 13854, 24683, 38606? 55623 What comes next: 70, 205, 432, 757, 1186, 1725, 2380, 3157? 4062 What is next in -424, -437, -452, -463, -464, -449, -412, -347? -248 What comes next: -14058, -14047, -14052, -14091, -14182? -14343 What is the next term in -4264, -4268, -4272, -4276? -4280 What comes next: 152, 458, 968, 1682, 2600, 3722? 5048 What comes next: -364303, -364301, -364299, -364297, -364295? -364293 What is next in 2356, 9419, 21204, 37717, 58964? 84951 What is the next term in -81, -131, -161, -177, -185, -191? -201 What is the next term in 740569, 740573, 740577, 740581? 740585 What comes next: 6167, 12396, 18629, 24866, 31107, 37352? 43601 What is next in 19979, 39960, 59941, 79922? 99903 What is the next term in -609, -2322, -5173, -9162, -14289? -20554 What is the next term in 21468, 85885, 193246, 343551, 536800, 772993? 1052130 What is the next term in -2738, -5465, -8194, -10925, -13658, -16393? -19130 What is next in 24, 272, 520, 768, 1016, 1264? 1512 What is the next term in 156, 647, 1452, 2559, 3956, 5631, 7572? 9767 What is the next term in 225410, 225405, 225400? 225395 What comes next: -482, -497, -518, -551, -602? -677 What is next in -122, -150, -218, -344, -546, -842, -1250? -1788 What is next in -7920, -31667, -71244, -126651, -197888? -284955 What comes next: -2228, -2231, -2234, -2237, -2240? -2243 What is the next term in -470, -842, -1214, -1586, -1958? -2330 What is the next term in -1400, -1417, -1430, -1439? -1444 What is next in -15085, -30135, -45187, -60241, -75297, -90355, -105415? -120477 What comes next: 173, 356, 579, 842, 1145, 1488, 1871? 2294 What is next in -521, -1933, -4287, -7583, -11821, -17001? -23123 What is next in 630, 1180, 1730? 2280 What is next in 12538, 12522, 12506, 12490, 12474, 12458? 12442 What is next in 62881, 62876, 62869, 62860, 62849, 62836, 62821? 62804 What is next in 27998, 28000, 28002, 28004? 28006 What is the next term in 463, 532, 703, 1030, 1567, 2368, 3487? 4978 What comes next: -9, 80, 293, 690, 1331? 2276 What comes next: -3495, -7000, -10505? -14010 What comes next: 150700, 301396, 452092? 602788 What is next in -1151, -1816, -2481, -3146, -3811, -4476? -5141 What comes next: 48831, 97667, 146503, 195339, 244175? 293011 What comes next: -2952, -4283, -7894, -14925, -26516? -43807 What is next in -15941, -15938, -15937, -15938? -15941 What is next in -83277, -83278, -83279? -83280 What is the next term in 15202, 15193, 15182, 15169, 15154, 15137, 15118? 15097 What is next in -145034, -145034, -145036, -145040, -145046, -145054, -145064? -145076 What is next in -195581, -195588, -195595, -195602, -195609, -195616? -195623 What is next in 718, 789, 842, 877, 894? 893 What is the next term in -21, -263, -673, -1257, -2021? -2971 What is next in -4889, -9797, -14727, -19679, -24653? -29649 What is next in -4434, -4502, -4562, -4608, -4634? -4634 What is the next term in 184046, 184054, 184074, 184112, 184174? 184266 What comes next: -1631, -12914, -43541, -103184, -201515, -348206, -552929? -825356 What is the next term in 23830, 23963, 24084, 24187, 24266, 24315, 24328, 24299? 24222 What is next in -7649, -15457, -23267, -31079? -38893 What comes next: -1004, -4346, -9916, -17714? -27740 What comes next: -176, -230, -326, -470, -668, -926? -1250 What is next in -266285, -1065096, -2396439, -4260308, -6656697? -9585600 What comes next: 157, 822, 2495, 5680, 10881? 18602 What is next in -968, -1932, -2896, -3860, -4824, -5788? -6752 What comes next: -2981, -5972, -8973, -11990, -15029, -18096, -21197, -24338? -27525 What is the next term in -159, -298, -477, -702, -979, -1314, -1713? -2182 What comes next: -17734, -17734, -17732, -17728, -17722? -17714 What comes next: -79, -358, -877, -1756, -3115, -5074, -7753, -11272? -15751 What is next in 685, 984, 1283, 1582? 1881 What is next in 2917692, 5835380, 8753068, 11670756, 14588444, 17506132? 20423820 What is next in 28241, 28262, 28283, 28304, 28325? 28346 What is the next term in -2779, -5555, -8323, -11083? -13835 What is the next term in 356, 2808, 9450, 22376, 43680? 75456 What comes next: -1445, -2837, -4229? -5621 What comes next: 300, 1118, 2448, 4290, 6644? 9510 What is the next term in -4759, -9457, -14109, -18727, -23323? -27909 What is next in -1336210, -1336212, -1336214, -1336216, -1336218? -1336220 What comes next: 300, 2269, 7610, 18009, 35152? 60725 What is the next term in 651, 598, 451, 162, -317, -1034, -2037? -3374 What is the next term in 6188, 12406, 18626, 24848, 31072, 37298, 43526? 49756 What is next in -16940, -16905, -16870, -16835, -16800, -16765? -16730 What is the next term in -5412, -5390, -5356, -5310, -5252? -5182 What is next in -31863, -127462, -286793, -509856? -796651 What is next in 1744574, 3489145, 5233716, 6978287, 8722858? 10467429 What is next in -14, -252, -924, -2246, -4434, -7704, -12272? -18354 What is the next term in 2385, 4742, 7099, 9456, 11813? 14170 What is next in -354098, -708200, -1062302, -1416404, -1770506? -2124608 What comes next: 1481, 1243, 1007, 773, 541, 311? 83 What comes next: -536, -1071, -1582, -2057, -2484, -2851, -3146, -3357? -3472 What is the next term in 398, 3208, 10840, 25706, 50218, 86788, 137828? 205750 What is the next term in 2753, 5690, 8627, 11564, 14501? 17438 What is next in 183, 598, 1289, 2256, 3499, 5018, 6813? 8884 What is the next term in 8184113, 8184112, 8184111? 8184110 What comes next: 509556, 509554, 509552, 509550? 509548 What is next in -60, 230, 1264, 3414, 7052, 12550, 20280, 30614? 43924 What is next in -456, -1853, -4180, -7437, -11624? -16741 What is the next term in 3337, 6669, 10001, 13333? 16665 What is next in -1524, -6087, -13694, -24345, -38040? -54779 What is next in -683, -664, -599, -464, -235, 112, 601, 1256? 2101 What is next in -2135, -4216, -6297, -8378, -10459, -12540? -14621 What comes next: 263, 544, 853, 1190, 1555? 1948 What is next in -40, -149, -432, -973, -1856? -3165 What comes next: 4525818, 4525824, 4525834, 4525848, 4525866, 4525888? 4525914 What comes next: 97064, 194127, 291190, 388253, 485316, 582379? 679442 What is the next term in -5783543, -5783544, -5783545? -5783546 What is the next term in 31286, 31251, 31192, 31109, 31002? 30871 What is next in 8972, 8968, 8952, 8912, 8836, 8712, 8528, 8272? 7932 What is the next term in 8335, 8487, 8741, 9097, 9555? 10115 What is next in 75, 216, 475, 864, 1395? 2080 What comes next: 373, 902, 1589, 2434, 3437, 4598, 5917? 7394 What is the next term in 422078, 422076, 422074, 422072, 422070, 422068? 422066 What is the next term in -94, 30, 234, 518, 882, 1326, 1850? 2454 What is the next term in -14927, -29774, -44607, -59420, -74207, -88962, -103679, -118352? -132975 What is next in -1007, -1112, -1281, -1514, -1811? -2172 What comes next: -231, -477, -735, -1005, -1287, -1581, -1887? -2205 What comes next: -75627, -75626, -75625? -75624 What is the next term in -320, -1579, -3678, -6617, -10396, -15015? -20474 What comes next: -50869, -50864, -50867, -50884, -50921, -50984, -
{ "pile_set_name": "DM Mathematics" }
ms in -11*a - 20*a - 32*a. -63*a Collect the terms in 3*y + 32*y + 3 + 9*y + 0*y. 44*y + 3 Collect the terms in 0 + 0 + 0 + 326*t**2. 326*t**2 Collect the terms in 4*h**2 - 77*h + 40*h + 37*h. 4*h**2 Collect the terms in -7*m + 643 - 1295 + 652. -7*m Collect the terms in -117*v**2 - 35 + 118*v**2 + 35. v**2 Collect the terms in 8*b + 12*b - 7*b. 13*b Collect the terms in 7*g - 12*g + 5*g + g. g Collect the terms in -5*f**2 - 2*f**2 + f**2 + 2*f**2. -4*f**2 Collect the terms in 221*n**2 + 182*n**2 + 110*n**2 + 743*n**2. 1256*n**2 Collect the terms in -11*w + 2*w + 7*w. -2*w Collect the terms in -7*h + 17811*h**3 + 11*h - 4*h - 17813*h**3. -2*h**3 Collect the terms in -4*f**3 - 45*f**3 + 0*f**3. -49*f**3 Collect the terms in -41*b - 132*b + 28*b. -145*b Collect the terms in 0 + 211*n**2 + 99*n**2 + 0. 310*n**2 Collect the terms in -3 - 12*w**2 + 75*w**2 + 3. 63*w**2 Collect the terms in 73*j**2 + 3*j**3 + 76*j**2 - 149*j**2. 3*j**3 Collect the terms in 12*k**3 - k**2 - 12*k - 2*k**2 + k**2. 12*k**3 - 2*k**2 - 12*k Collect the terms in -b**3 - 7*b**3 + 2*b**2 - 16*b**3. -24*b**3 + 2*b**2 Collect the terms in -c - 3125 + 3125. -c Collect the terms in 37*r**3 - 5*r - 74*r**3 + 5*r. -37*r**3 Collect the terms in -34349*u + 34349*u + 6*u**2. 6*u**2 Collect the terms in -172 + 350 + u - 178. u Collect the terms in 0 - 60*o + 6 - 5. -60*o + 1 Collect the terms in 36*p**2 - 77*p**2 + 27*p**2. -14*p**2 Collect the terms in 11*a**3 + 30*a**3 - 19*a**3 + 2 + 12*a**3. 34*a**3 + 2 Collect the terms in 0 - 9*u + 15 + 0 - 1. -9*u + 14 Collect the terms in -20*o + 28*o - 15*o. -7*o Collect the terms in -1515*q + 751*q + 763*q. -q Collect the terms in 35*u**3 + 11*u**2 - 11*u**2 - 76*u**3 + 32*u**3. -9*u**3 Collect the terms in 8*v**3 + 6*v**3 - 19*v**3. -5*v**3 Collect the terms in -9*a**2 + 5*a - 3*a**2 - 5*a**2 + a**2. -16*a**2 + 5*a Collect the terms in -38*u**3 + 23*u**3 - 135 + 135 + 17*u**3. 2*u**3 Collect the terms in -1 - j**3 + 6*j**3 + 4. 5*j**3 + 3 Collect the terms in -665*t**2 + 339*t**2 + 325*t**2. -t**2 Collect the terms in 60*p**3 + 117*p**3 - 20*p**3. 157*p**3 Collect the terms in 0*j + 0*j + 61*j**3 - 64*j**3. -3*j**3 Collect the terms in 0 - 13*j + 2 - 38*j + 5*j. -46*j + 2 Collect the terms in -2 + 3 + 21*r**2 - 1. 21*r**2 Collect the terms in 1543 - 3*g - 1543. -3*g Collect the terms in -39*k**3 - 13*k**3 - 22*k**3. -74*k**3 Collect the terms in 14*i**2 + 10*i**2 + 0*i**2. 24*i**2 Collect the terms in -14*a**2 + 80*a**2 + 2 + 81*a**2 - 22*a**2. 125*a**2 + 2 Collect the terms in -309*d**2 + 23*d**2 - 5*d**2. -291*d**2 Collect the terms in 1 - 5 + p**3 + p**3. 2*p**3 - 4 Collect the terms in 8 + 5 + 11*u - 13. 11*u Collect the terms in 15094 + i - 15094. i Collect the terms in -12496*t**2 + 12496*t**2 + 21*t**3. 21*t**3 Collect the terms in -1008218*g + 1008218*g + 3*g**2. 3*g**2 Collect the terms in 312*m**2 - 156*m**2 - 171*m**2. -15*m**2 Collect the terms in 70*w**3 - 41*w**3 - 24*w**3. 5*w**3 Collect the terms in -350 - 57*k**2 + 175 + 175. -57*k**2 Collect the terms in 177*f - 177*f - 3*f**2. -3*f**2 Collect the terms in -440 + 440 - 5*m**3 - 6*m**3. -11*m**3 Collect the terms in -56 + 2*c**2 + 9*c - 9*c. 2*c**2 - 56 Collect the terms in 16*m + 5*m + 22*m. 43*m Collect the terms in 33*u + 18*u**2 + 18*u**2 - 33*u. 36*u**2 Collect the terms in 206 - 206 - 5*p**2. -5*p**2 Collect the terms in 7*b**2 - 7*b**2 - 6*b**2. -6*b**2 Collect the terms in 1904 - s - 1904. -s Collect the terms in -1130*p**3 + 8*p**2 - 8*p**2. -1130*p**3 Collect the terms in 10 + 5 + 2*q + q + 3*q. 6*q + 15 Collect the terms in -5 + 5 - 237*c + 2*c**2. 2*c**2 - 237*c Collect the terms in -27*p + 290*p + 56*p. 319*p Collect the terms in -4*i**2 - 303*i**3 + 4*i**2. -303*i**3 Collect the terms in 36*w**2 - 35*w**2 + 26*w**2 + 44*w**2. 71*w**2 Collect the terms in -1843*j + 1843*j - 65*j**2. -65*j**2 Collect the terms in 7884*x + x**3 - 7884*x. x**3 Collect the terms in 4*i**3 - 8*i**3 - i**3 + i**3. -4*i**3 Collect the terms in -a**3 - 48422 + 48422. -a**3 Collect the terms in 624*j**2 + 13*j - 13*j. 624*j**2 Collect the terms in 10*g**2 - g - 6*g**2 + g - g**2. 3*g**2 Collect the terms in -2*m + 17 - 11 + 6*m - 6. 4*m Collect the terms in -31*m**2 - 31*m**2 + 105*m**2 - 39*m**2. 4*m**2 Collect the terms in -220*z**3 - 208*z**3 + 423*z**3. -5*z**3 Collect the terms in -3 + 0 - 7*f + 2*f + 0. -5*f - 3 Collect the terms in -11*n - 19*n + n**2 + n**2. 2*n**2 - 30*n Collect the terms in -p**2 - 10*p**2 + 0*p**2 + 2 - p**2. -12*p**2 + 2 Collect the terms in -4*s - 6*s - 8*s. -18*s Collect the terms in 504*v**2 + 500*v**2 - 1009*v**2. -5*v**2 Collect the terms in 26 + 20 + 4*v**3 + 19 - 65. 4*v**3 Collect the terms in c**3 + 11 + 27*c**2 - 7 - 4. c**3 + 27*c**2 Collect the terms in -6*f**3 + 17*f**3 - 6*f**3 - 15*f**3. -10*f**3 Collect the terms in -v**2 - 141*v + 133*v + 68*v. -v**2 + 60*v Collect the terms in -9*u**2 + 4*u**2 + u**2 + 5*u**2. u**2 Collect the terms in 84720*u - 2 + 2 - 84724*u. -4*u Collect the terms in -114*h**3 + 7*h**3 + 47*h**3. -60*h**3 Collect the terms in 14 - 7 - 16*y + 10. -16*y + 17 Collect the terms in -5*f**3 + 6*f**3 - 5*f**3. -4*f**3 Collect the terms in -a - 39*a + 48*a - 4*a. 4*a Collect the terms in 2 - 2 + 11*w**2 - 2*w**2. 9*w**2 Collect the terms in 2*w - 2*w - 12*w + 12*w - w. -w Collect the terms in 5*y - 5*y + 32*y**2. 32*y**2 Collect the terms in -1114 + 5*w + 1114. 5*w Collect the terms in -38*a**3 + 16*a**3 + 18*a**3. -4*a**3 Collect the terms in -2 + 10797*m - 10801*m + 2. -4*m Collect the terms in 25*b + 19*b - 84*b + 19*b + 20*b. -b Collect the terms in 8*q - 2*q - 7*q. -q Collect the terms in 78*k + 78*k - 147*k. 9*k Collect the terms in -3 + 10*l - 4*l + 9*l. 15*l - 3 Collect the terms in 504*z**2 + z - z - 501*z**2. 3*z**2 Collect the terms in -17*j**3 + 11*j**3 - j**3. -7*j**3 Collect the terms in -396 - 10*s + 396. -10*s Collect the terms in 17*s - 5*s - 3*s - 3*s + 2*s. 8*s Collect the terms in 0*o - o + 18*o + 4*o. 21*o Collect the terms in -13*z + 8437 - 8437. -13*z Collect the terms in -3 - 2*r + 3 - 9*r. -11*r Collect the terms in -91*r + 18 - 102*r - 18. -193*r Collect the terms in 8*y**2 + 0*y**2 + 8*y**2 + 15*y**2. 31*y**2 Collect the terms in 3 - c**2 + 6 - 9. -c**2 Collect the terms in 24 + 17 + l**3 - 41. l**3 Collect the terms in 30641 - 4*y**2 + 30634 - 61275. -4*y**2 Collect the terms in -7*d**2 - 10*d**2 + 17*d**2 - 4*d**3. -4*d**3 Collect the terms in 14*z**2 + 4*z - 4*z + 6*z**2. 20*z**2 Collect the terms in -44 + 44 + 2*z. 2*z Collect the terms in 508*g**2 - g**3 - 508*g**2. -g**3 Collect the terms in 5*m**2 - 16*m**2 + 12*m**2. m**2 Collect the terms in -919*o + 1834*o + 1386*o. 2301*o Collect the terms in 2*q - 8*q + 7*q + 3*q. 4*q Collect the terms in -15*v**2 - 19*v**2 + 44*v**2 - 13*v**2. -3*v**2 Collect the terms in -927 + 460 + 4*k**2 + 467. 4*k**2 Collect the terms in -213544 + 5*k**3 + 213544. 5*k**3 Collect the terms in -3 - 34*h**2 - 5 + 8. -34*h**2 Collect the terms in -757 + 39*g**2 + 757. 39*g**2 Collect the terms in -2*r**3 + 622649*r**2 - 622649*r**2. -2*r**3 Collect the terms in 7*l - 20*l + 9*l + 3*l. -l Collect the terms in 15*g**2 + 25*g**2 + 7*g**2. 47*g**2 Collect the terms in 6*m - 5*m - 8*m - 32*m. -39*m Collect the terms in -4*i**2 + 2*i**2 - i**2 + 2*i**2. -i**2 Collect the terms in 7*c**2 + 6*c**2 - 34*c**2 + 20*c**2. -c**2 Collect the terms in -50*j + 27*j + 25*j. 2*j Collect the terms in -20*g + 4 - 1 + 3 + 0. -20*g + 6 Collect the terms in 171487 - 171487 + 2*i**2. 2*i**2 Collect the terms in 2*z**2 + 0*z**2 + 2 - 2. 2*z**2 Collect the terms in 6532 - 41*o**2 - 6532. -41*o**2 Collect the terms in 33 + 6*x - 6*x - 2*x**2. -2*x**2 + 33 Collect the terms in 264 + 4*c**2 - 264. 4*c**2 Collect the terms in 10191*h - 733*h + 14706*h. 24164*h Collect the terms in 12*y**3 - 5*y**3 + 23*y**2 - 23*y**2. 7*y**3 Collect the terms in 20*y**2 + 19*y**2 + 18*y**2 - 81*y**2 + 23*y**2. -y**2 Collect the terms in -539*l**2 + 1085*l**2 - 543*l**2. 3*l**2 Collect the terms in 12*u**2 - 16*u**2 + 19*u**2 - 27*u**2. -12*u**2 Collect the terms in 66*u**2 - 66*u**2 + 3*u**3. 3*u**3 Collect the terms in -14131*k**2 + 14131*k**2 - 5*k**3. -5*k**3 Collect the terms in 211*k**2 - 211*k**2 - 40*k**3
{ "pile_set_name": "DM Mathematics" }
486911 and 212. 53 What is the greatest common divisor of 1639 and 211211? 11 What is the highest common divisor of 7 and 140203? 7 Calculate the highest common factor of 76 and 6020. 4 What is the greatest common factor of 99893 and 1719? 191 What is the highest common factor of 975070 and 10? 10 What is the greatest common divisor of 374 and 549032? 374 Calculate the highest common divisor of 7637 and 161. 7 What is the greatest common factor of 217916 and 123532? 1388 What is the highest common divisor of 39277 and 1736? 217 What is the greatest common factor of 172 and 823192? 172 Calculate the greatest common factor of 115765 and 20280. 845 What is the greatest common factor of 243729 and 29205? 531 What is the greatest common factor of 6622 and 700? 14 What is the highest common factor of 772 and 4383223? 193 What is the highest common divisor of 39536 and 252? 28 What is the highest common divisor of 62 and 3005140? 62 Calculate the highest common factor of 3045 and 1455. 15 Calculate the highest common factor of 136053 and 27. 27 Calculate the highest common divisor of 1708 and 152. 4 What is the greatest common divisor of 290 and 501265? 145 Calculate the greatest common factor of 506093 and 197. 197 Calculate the highest common factor of 136 and 4064. 8 Calculate the greatest common divisor of 23373 and 14310. 477 What is the greatest common divisor of 13260 and 188190? 510 What is the highest common factor of 3315 and 455? 65 Calculate the highest common factor of 1333060 and 45. 5 What is the highest common factor of 1284792 and 94? 94 What is the greatest common divisor of 33341 and 119? 7 What is the greatest common divisor of 4368 and 1152? 48 What is the highest common divisor of 1231900 and 900? 100 What is the highest common factor of 22420 and 42180? 380 What is the greatest common divisor of 3179 and 286? 11 What is the highest common factor of 79332 and 2376? 132 What is the greatest common divisor of 322 and 8326? 46 What is the highest common factor of 10346 and 224? 14 Calculate the greatest common factor of 4348 and 20. 4 What is the highest common divisor of 82070 and 290? 290 Calculate the greatest common divisor of 426 and 96134. 142 What is the highest common factor of 272 and 9724? 68 Calculate the greatest common divisor of 16605 and 6264. 27 What is the greatest common divisor of 2093427 and 909? 909 Calculate the greatest common divisor of 215897 and 57. 19 What is the highest common divisor of 7564 and 20374? 122 Calculate the greatest common factor of 93 and 759624. 93 Calculate the highest common factor of 250 and 300250. 250 What is the greatest common factor of 594355 and 435? 145 Calculate the highest common divisor of 366 and 124. 2 Calculate the highest common factor of 6750 and 5475. 75 What is the highest common divisor of 13 and 15379? 13 What is the greatest common divisor of 3180 and 13674? 318 What is the greatest common divisor of 87 and 27550? 29 Calculate the highest common divisor of 164 and 107256. 164 Calculate the highest common factor of 164 and 26773. 41 What is the highest common divisor of 594 and 825? 33 What is the greatest common divisor of 110 and 2892670? 110 Calculate the greatest common divisor of 921 and 628736. 307 Calculate the greatest common divisor of 2254 and 2944. 46 Calculate the greatest common divisor of 560 and 700. 140 What is the greatest common factor of 15748912 and 16? 16 Calculate the highest common factor of 34486 and 4042. 86 What is the greatest common divisor of 608 and 407816? 152 Calculate the highest common factor of 3286 and 175491. 31 What is the greatest common divisor of 39648 and 1736? 56 What is the greatest common factor of 140 and 112? 28 What is the greatest common factor of 122640 and 146160? 1680 Calculate the highest common divisor of 34112 and 39. 13 What is the highest common divisor of 1762093 and 787? 787 What is the greatest common factor of 1160 and 727784? 232 Calculate the greatest common factor of 15900 and 3445. 265 What is the greatest common factor of 230118 and 21? 21 Calculate the greatest common factor of 14674209 and 2343. 2343 What is the greatest common factor of 1302 and 31961? 31 Calculate the greatest common divisor of 2263 and 3723. 73 Calculate the highest common factor of 3676 and 76. 4 What is the highest common divisor of 463094 and 3? 1 Calculate the greatest common divisor of 1011864 and 152. 152 Calculate the highest common divisor of 806 and 1222. 26 Calculate the greatest common factor of 19605309 and 681. 681 What is the highest common divisor of 421173 and 1653? 57 Calculate the highest common factor of 225760 and 360. 40 What is the greatest common factor of 2470 and 3120? 130 What is the highest common divisor of 2241 and 20667? 249 What is the highest common factor of 39 and 62218? 13 Calculate the highest common divisor of 27477 and 253683. 639 Calculate the greatest common divisor of 4 and 40298. 2 What is the greatest common divisor of 782 and 3502? 34 What is the highest common factor of 101 and 3835273? 101 What is the greatest common factor of 14024 and 20? 4 Calculate the highest common factor of 935 and 530519. 187 Calculate the greatest common divisor of 51504 and 144. 48 Calculate the greatest common divisor of 64 and 4617952. 32 Calculate the highest common divisor of 24032 and 224. 32 What is the greatest common divisor of 532 and 2716? 28 Calculate the highest common factor of 249108 and 12. 12 Calculate the highest common divisor of 15200 and 34480. 80 What is the highest common factor of 33 and 57? 3 Calculate the highest common divisor of 265 and 9005. 5 What is the greatest common divisor of 31408447 and 301? 301 Calculate the greatest common factor of 141727 and 239. 239 What is the greatest common divisor of 178959 and 51? 51 Calculate the greatest common divisor of 217 and 1345183. 217 Calculate the highest common factor of 80845 and 115. 115 What is the highest common factor of 301 and 843101? 301 What is the greatest common divisor of 2200 and 2431550? 550 What is the highest common divisor of 103115 and 14587? 503 Calculate the highest common divisor of 1235 and 164749. 247 What is the highest common factor of 4959 and 1235? 19 Calculate the greatest common factor of 1147 and 212713. 37 What is the highest common divisor of 7348736 and 256? 256 Calculate the highest common divisor of 18 and 64892. 2 Calculate the greatest common divisor of 135298 and 10126. 122 What is the highest common divisor of 2044 and 448? 28 What is the greatest common divisor of 576515 and 10? 5 Calculate the highest common factor of 996 and 5644. 332 Calculate the highest common divisor of 40296 and 552. 552 What is the greatest common divisor of 1 and 240? 1 What is the highest common divisor of 5106 and 142278? 138 Calculate the highest common divisor of 84 and 849219. 21 What is the greatest common factor of 822 and 213172? 274 Calculate the highest common divisor of 10 and 1790. 10 What is the highest common factor of 19 and 32794? 19 Calculate the greatest common factor of 126800 and 2800. 400 What is the highest common divisor of 5 and 17165? 5 What is the highest common divisor of 15132 and 1560? 156 What is the greatest common factor of 1236 and 39243? 309 Calculate the greatest common factor of 18172 and 8668. 44 Calculate the highest common factor of 144 and 821520. 144 Calculate the highest common divisor of 4704 and 2096. 16 What is the greatest common divisor of 5491 and 475? 19 What is the greatest common factor of 1423314 and 428? 214 What is the greatest common divisor of 5390 and 45? 5 Calculate the greatest common divisor of 46 and 614491. 23 Calculate the highest common factor of 103 and 275731. 103 What is the highest common factor of 894177 and 657? 657 Calculate the highest common factor of 4528 and 110464. 16 What is the highest common divisor of 115 and 303255? 115 What is the highest common divisor of 7618 and 258719? 293 What is the highest common divisor of 3012 and 2486406? 1506 What is the highest common factor of 41409 and 76077? 963 Calculate the highest common divisor of 692 and 25431. 173 What is the highest common factor of 2553 and 42? 3 Calculate the greatest common fac
{ "pile_set_name": "DM Mathematics" }
-3*p = 4*d + 35, 3*d - 2*p + 10 = 5 for d. -5 Solve 3*f - i = -5 - 0, -5*i - 11 = -3*f for f. -3 Solve 2*k + 5*y = -33, -5*k - 3*y = -0*y + 35 for k. -4 Solve -5*l + 6 = -3*r - 8*l, -r - 6 = 5*l for r. -1 Solve 3*c = 4*o - 14, -4*o = 5*c - 5 - 25 for c. 2 Solve 0 = -4*w - 5*q, -4*q + 7 = 2*w + 1 for w. -5 Solve 3*k + 10 = w, 0 = -3*k - 3 - 6 for w. 1 Solve 4*v + 5*j - 30 = 0, 5 = 2*v - 3*v + 5*j for v. 5 Solve -5*y - 25 = -y - 5*o, -5*o = -5 for y. -5 Solve 3*w + 18*t + 21 = 13*t, 0 = -2*w - 3*t - 13 for w. -2 Solve 2*h - 1 = 4*v - 7, 5*h + v = 29 for h. 5 Solve 4*o - 18 = 5*r, -3*o + 2*r + 2 = -4*o for o. 2 Solve 2*a - 6 = 0, -6*f - 1 = -2*a - 7 for f. 2 Solve 4*o + 11 = 8*d - 7*d, -o + 4*d + 16 = 0 for o. -4 Solve -8 = 5*k - 2*w, 4*k + 7 - 11 = -w for k. 0 Solve 5*m = -i + 2*i + 3, -i - 3 = -4*m for i. -3 Solve -5*t - 2*m + 27 = 0, 0 = 98*t - 95*t + 5*m - 20 for t. 5 Solve 8 = -3*x + i, -24 = 4*x - i - 3*i for x. -1 Solve 3*r + 4*u - 55 + 20 = 0, 3*u = -2*r + 25 for r. 5 Solve -j + 6*j = 4*n - 18, -4*n = -3*j - 14 for n. 2 Solve -9 = 4*a + 3*l - 41, 33 = 5*a + 2*l for a. 5 Solve -39*g = -36*g + 5*r + 28, -30 = 5*g + 5*r for g. -1 Solve 14 = -s - 4*h, -27*s = -29*s + h - 1 for s. -2 Solve c + 3*c - 4*t - 4 = 0, -4*c = -t - 1 for c. 0 Solve -2*s + 2*o - 142 = -152, 0 = s + o + 1 for s. 2 Solve 2*o = 4*l + 10, 12*o - 15*o + 5*l = -11 for o. -3 Solve -4*m = -5*y - 5, m + 336 - 306 = -5*y for y. -5 Solve -10 = -5*v + h, 5*v + 5 = -3*h + h for v. 1 Solve 0 = -n - 374*j + 375*j + 3, -j = 4*n + 3 for n. 0 Solve -2*w - 5*l + 9*l - 6 = 0, 2*l = -2*w for w. -1 Solve 0 = 4*p + 3*j - 28, 5*j - 24 = 2*p - 3*p for p. 4 Solve 3*v + 9 = 0, 20*v - 24*v - 17 = 5*x for x. -1 Solve 5*z - j = 13, -2*z + 3*j + 0*j = 0 for z. 3 Solve 0 = -2*d - 2*u + 12, 0*u - 5*u + 28 = 3*d for d. 1 Solve -4*t = -16, -24*i - 2*t = -20*i - 24 for i. 4 Solve -4*k + 10 - 34 = 2*s, 0 = 2*s - k + 4 for s. -4 Solve 0 = 4*f - 16, 12 = -30*j + 29*j + 5*f for j. 8 Solve -4*f + h = -16, -4*h + 7*h = 12 for f. 5 Solve 2*p = 2*i - 3*i - 6, 5*i + 18 = 2*p for i. -4 Solve -10*t + 6*t = 5*j, -5*j = -t for t. 0 Solve 5*f + 28 = -4*n, -3*f - 12 = 3*n + 6 for n. -2 Solve -5*s + 5*n = -40, -3*s + 4*n + 22 = -10 for s. 0 Solve 0 = -5*y + 4*d + 32, 0 = y + 3*y - 3*d - 25 for y. 4 Solve -3*b - 15 = 4*i, 3*i + b - 4*b + 6 = 0 for i. -3 Solve -2*l = 3*u - 10, 3*l - 3*u + 12 = 6*l for l. 2 Solve -5*d + 12 = -5*u - 8, 0 = -u - 4 for d. 0 Solve -5*w = 3*z + 11, 2*z + 2*z + 2*w - 4 = 0 for z. 3 Solve -w - 3*h + 8 = 0, -4*w - w + 22 = -3*h for w. 5 Solve 6*z = -5*r + 3*z - 20, 0 = 4*r + 3*z + 19 for r. -1 Solve -k = 3*l - 2, 2*k = 6*k + 4*l for k. -1 Solve h = 2*s + 3, 3*h + s + 3*s + 1 = 0 for h. 1 Solve 3*h = 8*j - 9*j - 5, -5*h - 9 = j for h. -2 Solve 0 = 2*n + 31*x - 28*x - 17, -5*n - 5*x = -35 for n. 4 Solve -i = 2*m - 1, 5*m + 215 = 2*i + 213 for m. 0 Solve b + 17 = 4*n, -3*n = -6*n + b + 14 for n. 3 Solve 0 = 7*q + 3*n - 4 - 0, 4 = -q - 5*n for q. 1 Solve 5*t = -a - 4*a + 10, -4*t + 16 = -4*a for a. -1 Solve f = -a - 5, -5*f = -8*f - a - 7 for f. -1 Solve -13 = -4*o - 19*y + 14*y, -2*y + 2 = 0 for o. 2 Solve -3*u + 13*l + 11 = 11*l, -u - 4*l = 15 for u. 1 Solve 2*b + 5*r = -3*b + 5, -5*b + 5 = -5*r for b. 1 Solve -5*v - 11 = -4*g, 2*g + 0 = v + 1 for g. -1 Solve 14*a - 10*a + 14 = 2*i, 5*i = -3*a + 9 for i. 3 Solve 5*j = -6*y + 3*y - 5, 0 = 2*j + y + 3 for j. -4 Solve 15 = 8*v - 3*v - 5*i, 3*i = -v - 1 for v. 2 Solve -3*j - 4*u - 6 + 17 = 0, 4*u + 14 = 2*j for j. 5 Solve 5*c - q = -29 + 47, -5*c - 2*q + 9 = 0 for c. 3 Solve y = 3*z - 6 + 4, -3*y = -z - 2 for z. 1 Solve 4*o - 26*b + 21*b - 13 = 0, 3*o + 34 = -5*b for o. -3 Solve n = 41*f - 43*f - 3, n + 6 = f for n. -5 Solve p - t + 20 = -3*p, 3*p - 5*t + 32 = 0 for p. -4 Solve t = -2*j + 12, 2*j + 3*j = -4*t + 33 for j. 5 Solve 3*n = -5*x + 22, 410 = 4*x + n + 398 for x. 2 Solve 4*a = -n - 11 + 12, 4*a + 9 = n for a. -1 Solve 0 = 3*w + 12, -5*b + 6 = 5*w + 1 for b. 5 Solve 0 = 4*s + t + 11, -t - 4*t - 7 = -4*s for s. -2 Solve 14*i + 2*u - 2 = 10*i, -3*i - 3*u + 6 = 0 for i. -1 Solve 0 = -2*j - 3*t + 11, 3*t + 2*t = 4*j + 33 for j. -2 Solve -l - 5*n + 13 = 0, 5*l = 2*n - 6*n + 2 for l. -2 Solve 0 = -k - 4*k, -10 = 7*x - 2*x - 2*k for x. -2 Solve -4*g + 7*g = 5*s - 13, 5*g + 5 = 5*s for s. 5 Solve -2*r + 30 = -7*r - 5*l, -3*r - 4*l = 19 for r. -5 Solve -3*c + r + 4 = 3, -4 = r for c. -1 Solve -8*d + 5*d - 4*f = 5, d = -f - 2 for d. -3 Solve -4*o - 2*c + 12 = -0, c + 8 = 5*o for o. 2 Solve -2*a + 5*x + 15 + 18 = 0, -4*a + 4*x + 36 = 0 for a. 4 Solve -19 = -5*a + f, 0 = -3*a - 47*f + 52*f + 7 for a. 4 Solve 5*t = -4*j + 18, 6*t - t = -j + 12 for j. 2 Solve 5*d + 3*c = 9, c + 7 = -d - 4*c for d. 3 Solve 2*v + 18 = -4*p, -5*v - 21 = -0*v + 2*p for v. -3 Solve -i - 41 + 32 = 3*d, -5*i = d - 11 for i. 3 Solve 0 = -5*g + 8*g + 2*r - 2, -3*g - 5*r = -5 for g. 0 Solve -2*c - 3*s + 8 = -4*c, s - 12 = 3*c for c. -4 Solve 0 = 45*s - 49*s + 5*c + 10, -3*c - 19 = -5*s for s. 5 Solve 10 = 2*k - 2*a, 3*k - 2*a + 16 - 27 = 0 for k. 1 Solve -2*p + 28 = -4*u, 20 + 15 = 5*p - 3*u for p. 4 Solve m + 1 = -u, 4*u - 4 = 2*m + 22 for u. 4 Solve -10 = 4*s + 3*c, -623*s + 626*s + 8 = -2*c for s. -4 Solve -5*d = 5*b + 30, -b = b + 4*d + 22 for b. -1 Solve -4*r - 12 = 5*h, -19*h - 14 = 4*r - 2 for h. 0 Solve 0 = w + 2*v - 7*v - 5, 5*v + 5 = -4*w for w. 0 Solve 5*w + 5*f - 15 = 0, w = 3*w + 4*f - 16 for w. -2 Solve 9*y - 8*y - 11 = 7*l, -10 = 5*l for y. -3 Solve s + 5*x + 19 = 0, -3*s - 5*x - 20 = 7 for s. -4 Solve 4*u - 7*u - 4*m - 32 = 0, 3*m + 19 = -u for u. -4 Solve -3*s = -6*l + 7*l + 8, -2*l = 5*s + 15 for l. -5 Solve 0 = -3*v - 6, -211 = 3*u + 4*v - 188 for u. -5 Solve 0 = -2*u - i, 2 = -3*i - 4 for u. 1 Solve 2*w - 22 - 1 = -5*x, 4*x + 4*w - 16 = 0 for x. 5 Solve 5*t - 5*a + 35 = 0, t + 0*a + 3*a = 9 for t. -3 Solve -24*z + 25*z - 5 = -4*y, -z + 5 = 2*y for y. 0 Solve 4*a + 0*a + 5*s - 35 = 0, 2*a - 3*s = 1 for a. 5 Solve 3*g = f + 19, -4 = -2*f + 4*g - 34 for f. -7 Solve -7 = -t + 4*p, 8 - 1 = -t - 3*p for t. -1 Solve 0 = 3*z + i - 6*i - 15, z + 4*i - 5 = 0 for z. 5 Solve 2*k = 5*y - 8*y - 6, 5*y - 2*k - 6 = 0 for y. 0 Solve -2*r + 25 = 9*j - 6*j, 0 = -4*r + 4*j for r. 5 Solve 5*l - 3*l + 5*x = -13, -23 = 5*l + 3*x for l. -4 Solve 5*l - 15 = 2*n - 2, 0 = -3*n + 4*l - 16 for n. -4 Solve -3*y = -6, -4*y - y + 5 = v for v. -5 Solve 22*t - 19*t - 14 = 4*s, -2*s + t - 6 = 0 for s. -2 Solve 4*n + 2*q - 28 = 0, -q = -2*n - n + 11 for n. 5 Solve 2*f + 14 = -2*b, 3*b - 4*f + 19 + 2 = 0 for b. -7 Solve -4*m = 4*a - 9*m + 45, 0 = 3*m - 15 for a. -5 Solve -5*u - 21 = b - 4, 5 = -3*u + 2*b for u. -3 Solve -30*n + 32*n - 2*i = -8, -3*n + 4*i - 12 = 0 for n. -4 Solve -3*p + 3*f = -9, f = 4*p - 171 + 162 for p. 2 Solve 0*m - 7 = m - 5*u, -u + 14 = 4*m for m. 3 Solve -39*z + 36*z = -4*h - 12, 5*z - 12 = 4*h for h. -3 Solve -2*p + 14 = -3*r + 33, -3*p + 14 = 4*r for p. -2 Solve 0 = 2*u + 3*m, -2*u + 2 = 4*m - 0*m for u. -3 Solve -4*g = -0*a - 5*a + 30, 3*a = 6 for g. -5 Solve 0*o - 4 = o, -5*o = -m + 24 for m. 4 Solve -3*m = 4*i - 20, 0 = 16*m - 18*m + 5*i - 25 for m. 0 Solve -4*o - 22 = -3*r, -3*r - r + o + 12 = 0 for r. 2 Solve -2*m = 2*d - 8, m = 3*d + d - 6 for d. 2 Solve -4*i - 20 = -p, 15 = 3*i - 6*i - 4*p for i. -5 Solve -w + 4*u + 14 = 0, -2*u - 1 + 3 = -5*w for w. -2 Solve -4*n - 2 = 2*c, -2*c - 3 = -2*n + 5*n for c. -3 Solve 0 = -p - 1, -t + 7 - 13 = p for t. -5 Solve -42*k + 26 = -3*r - 47*k, r + 2*k + 10 = 0 for r. -2 Solve -a + 2 = -4*h, -4*a - 10 = h + h for h. -1 Solve -2*b - 28 = 5*f, 3*b - 110*f + 113*f + 24 = 0 for b. -4 Solve 289*m + 2 = -2*a + 292*m, 2*m = 3*a + 3 for a. -1 Solve -2*b - 3*p + 7 = 0, 5*b + 5*p - 12 = -2 for b. -1 Solve -4*y + 16 = 0, -2*h - h - 3*y = 3 for h. -5 Solve -1 = 2*h + 2*n + 3, 2*n = 0 for h. -2 Solve 13 = 3*g - 2*i, 3*g - 2*i = -2*g + 19 for g. 3 Solve -18 = 5*b + 3*v, 3*b + 3 = -3*v - 9 for b. -3 Solve -8*o + 4*y = -6*o + 18, 5*y - 3 = -4*o for o. -3 Solve -2*d - 2*k - 2 + 4 = 0, -4*k = -4*d + 36 for d. 5 Solve 3*v + 4*k + 17 = 0, 5*v + 0*v = 5*k + 30 for v. 1 Solve -2*z - 2 = 3*x, -5*z - 13 + 8 = 2*x for x. 0 Solve 5*w = -3*k - 13, 2*k = -3*k + 3*w + 1 for k. -1 Solve 3*n + 2*m = -2, 61*m - 65*m = 3*n - 2 for n. -2 Solve 2*u = 3*k - 7, 0 =
{ "pile_set_name": "DM Mathematics" }
4. Let p be f(0). Suppose -c - 40 = p*c. Put 0, n, c in ascending order. c, 0, n Suppose -93*d - 46*d - 204 = -37*d. Put d, -1, 4, -13 in ascending order. -13, d, -1, 4 Let b = -17/2 + 8. Let v be (-252)/(-27) - 6/27*-3. Suppose -5*o = 2*t + 4, -5*o + 6*t = t - v. Sort b, -0.11, o. b, -0.11, o Let g = -3486.98 + 3491. Let q = 0.1 + -0.12. Let k = q + g. Sort k, 3/5, -0.4 in decreasing order. k, 3/5, -0.4 Let u = 0.4404 - -4.5596. Put u, 3/11, -1/2, -4 in descending order. u, 3/11, -1/2, -4 Let z be 6/(-27) - 902/(-9). Let f be z/16 - 2*1/8. Let t = 5 - f. Sort -1/4, -2/3, t in descending order. -1/4, -2/3, t Let k = -9 + 9.3. Let v be 21/70*10/12. Put v, k, -0.21 in decreasing order. k, v, -0.21 Let j = 6654 + -6653.8. Sort j, -24, -0.03, -0.2 in decreasing order. j, -0.03, -0.2, -24 Suppose 0 = -18*w + 15*w - 3. Let i be (6 + -2)*1 - (w - -1). Suppose m + 20 = 2*o + 3*o, 2*o - 8 = i*m. Sort m, 4, -8 in ascending order. -8, m, 4 Suppose -2*k - 3*k = -15. Suppose 119*q - 480 = 107*q. Let x be (-90)/q - -1 - 60/16. Sort x, 0, k in increasing order. x, 0, k Suppose -700 = -30*m + 16*m. Let x be (4 - m/18) + 4/(-18). Sort 0, -5, x. -5, 0, x Let i(n) = -13*n + 62. Let x(w) = -34*w + 154. Let v(k) = -12*i(k) + 5*x(k). Let r be v(3). Sort 2, r, -11, -2 in ascending order. r, -11, -2, 2 Let w be 1/2 + 9/2. Let c = 240 - 246. Suppose 42 = -23*u + 19. Sort c, u, -3, w in descending order. w, u, -3, c Let m = -1 + -4. Suppose -2*q = 233*b - 233*b, 4*q = b - 3. Put 5, b, -1, m in descending order. 5, b, -1, m Let f be 48 - 40 - ((-2643)/(-330) + 0). Put f, 9, 3/8 in decreasing order. 9, 3/8, f Let x(i) = 3*i + 40. Let z be x(-15). Let d be (-14)/(-6) + (26/(-6) - z). Suppose d*s - 29 = -23. Put -12, s, -1, -3 in increasing order. -12, -3, -1, s Let b(k) = k**3 + 17*k**2 - 26*k - 143. Let p be b(-18). Let v be ((-8)/6)/((-1)/(-3)). Sort 2, v, p, -18. -18, v, p, 2 Let s be 2/6 + 2/(-6). Let l be ((-13)/(-4))/((-2)/(-56)) - -3. Suppose l - 46 = -16*c. Put c, s, -4 in ascending order. -4, c, s Let z = 2702 - 2700. Sort -4, z, -7 in decreasing order. z, -4, -7 Let s(g) = -56*g**2 + 391*g + 14. Let c be s(7). Put 2, -78, c, -4 in increasing order. -78, -4, 2, c Suppose -331*q = -367*q + 180. Put 617, 4, q in decreasing order. 617, q, 4 Let w be -1*1*-2 - 3. Suppose 20*z = -8 + 28. Let k = 0.04 + -4.04. Put w, k, z in ascending order. k, w, z Let d = 286 - 315. Let g = d + 28.1. Put 0, g, 4, 2/7 in decreasing order. 4, 2/7, 0, g Suppose -15*n - 7*n = 35*n - 342. Let s(m) = -7*m - 1. Let d be s(-2). Suppose -5*t - 2 = d. Sort t, n, 1 in ascending order. t, 1, n Suppose 3*x = -2*u - 19, -45*u - 4*x - 7 = -46*u. Put 51, 2, u, 6 in decreasing order. 51, 6, 2, u Let s = 36 - 19. Let x = 298.21 + -300. Let p = x + 2.09. Put s, 2/13, p in increasing order. 2/13, p, s Let t(j) = j**3 - 43*j**2 + 19*j + 970. Let p be t(42). Sort -1, -15, -2, 3, p in decreasing order. p, 3, -1, -2, -15 Let q = 74082 + -74091. Suppose 2*s = -3*a - 1, -s - 3*a = 2*s + 6. Put 8, 0, s, q in increasing order. q, s, 0, 8 Let x = 7134 + -5307. Put 3, x, -2 in increasing order. -2, 3, x Let p = -44 + 76. Let y = p + -159/5. Let m = -289/30 - -19/2. Sort m, -4, y in descending order. y, m, -4 Let m(g) = -g**3 - 8*g**2 - 5*g + 7. Let y be m(-7). Let k = 30 + y. Let a = k - 27. Sort 3, a, 2 in decreasing order. 3, 2, a Suppose f - 24*d - 11 = -23*d, -3*f + 49 = -5*d. Let v = -1 - -2. Sort f, v, -3/11 in ascending order. -3/11, v, f Let v(u) = -27*u + 500. Let p be v(19). Put p, -130, -2 in descending order. -2, p, -130 Let p = -15804 + 15809. Put 4, p, 2247 in descending order. 2247, p, 4 Suppose -15*a = -14*a - 3*d + 13, -a - 4*d + 29 = 0. Put 6, a, 3, -15, 2 in decreasing order. 6, a, 3, 2, -15 Suppose -2*j - 27 = -31. Suppose k - j*r = 6, 5 = -2*k - r + 7. Suppose -2*h = -k*l + 5*l + 18, 5*h + 2*l + 45 = 0. Sort h, 4, 2, 3 in decreasing order. 4, 3, 2, h Let o(l) = -146*l - 727. Let i be o(-5). Sort -2, -4, -25, -5, i in decreasing order. i, -2, -4, -5, -25 Let f be (-2)/((-4)/30)*1. Let b be ((-8)/(-10))/((-9)/f). Suppose 11*q = -4*a + 13*q + 22, -a - 5*q = 22. Put 1/9, a, b in increasing order. b, 1/9, a Let a = 15499 + -15501. Put 9.2, 3/5, a in increasing order. a, 3/5, 9.2 Let z = 471/1918 + 11/274. Sort z, 5, 3, 94 in increasing order. z, 3, 5, 94 Suppose 0 = x + 3*x. Let q = 26 + -8. Suppose -3*a = z - q, -4*z + a - 6*a = -37. Put -4, -5, z, x in decreasing order. z, x, -4, -5 Let c be (0/4)/(-3) + 4. Suppose c*a = -l - 0*l - 9, -3*a + 2*l = 4. Suppose -4*z + 2 = -u - 5, 0 = -2*z - 4*u + 26. Put -4, z, a in descending order. z, a, -4 Let b = -613 - -610. Put -2, b, 4, 5 in ascending order. b, -2, 4, 5 Let s = -1.871 - -1.76. Let o = s - -0.211. Sort o, -3, -5 in ascending order. -5, -3, o Let d = -8462 + 8457. Sort 0.2, -45, d. -45, d, 0.2 Let z(p) = p**3 - p**2 - 3*p - 1. Let t be -6*5/(-15)*(-2 - -3). Let i be z(t). Put 1, 0, i in descending order. 1, 0, i Suppose 198 = 5*j - 2*j. Suppose -26*s = -4*s - j. Put 9, s, -1, 2 in descending order. 9, s, 2, -1 Let t be -6 - -1*15*10/125*5. Sort -5, -2, -3, t, -1 in ascending order. -5, -3, -2, -1, t Let b = 192 + 196. Let y = 406 - b. Put y, -3, -10, -4 in ascending order. -10, -4, -3, y Suppose -3970 = -10*f - 3990. Suppose -4*c + 6*c + 38 = 0. Put f, c, 5, 2 in ascending order. c, f, 2, 5 Suppose -46*w - 4*l + 24 = -48*w, 3*l = 5*w + 11. Sort 2/3, 3/7, -9, w, 0 in decreasing order. w, 2/3, 3/7, 0, -9 Let w = -74 - -42. Let d = w - -65/2. Let s be (-1 - 4) + (-249)/(-27) + -4. Put s, d, -6 in ascending order. -6, s, d Let v = -3.5 - -3. Let w(u) = -u**3 + 21*u**2 + 71*u + 26. Let p be w(24). Let n = -5.8 + 4.8. Sort v, n, p, 1/4 in descending order. p, 1/4, v, n Let b = 6083 - 6100. Sort b, -2, -5, 1 in ascending order. b, -5, -2, 1 Let m = 0.92996 + -0.02996. Sort -1, m, -0.6 in increasing order. -1, -0.6, m Let t(y) = -y - 10. Let c be t(-15). Let n be 57/11 + 12/330*-5. Suppose 12*h = n*h. Sort c, 3, h. h, 3, c Suppose -16 = 2*q + 4. Let l be 24/(-4) + 11 + q. Let o(a) = a**2 - 5*a - 10. Let c be o(7). Sort l, -2, 2, c. l, -2, 2, c Let q = 0.18 + 3.82. Let c = -9 - -6. Let i = 8 + c. Put 1, q, i in increasing order. 1, q, i Let i = -12802 + 12806. Sort 1, 159, i. 1, i, 159 Suppose -13*k + 18 + 34 = 0. Suppose -h - k = -5*h. Put 0.1, h, 0.2, 3/7 in ascending order. 0.1, 0.2, 3/7, h Suppose 0 = -125*s + 443 + 182. Sort -1, -9, s, -2 in increasing order. -9, -2, -1, s Let r(z) = -309*z - 6802. Let f be r(-22). Sort -5, -3/4, -417, -2, f in increasing order. -417, -5, f, -2, -3/4 Let p = 1258 - 1101. Put 1/4, -2, p in decreasing order. p, 1/4, -2 Let p be ((-4)/(-10))/(-3*(-7)/(-210)). Let r = 38 + -36. Put r, -3, 4, p in decreasing order. 4, r, -3, p Let u be (1/(53 - 1))/((-1207)/(-94282)). Let n = 2/923 - u. Let m be (2/356)/(2/4). Sort m, 0.4, n in ascending order. n, m, 0.4 Let f = -6/4153 - -4171/12459. Put -46, -0.4, f in ascending order. -46, -0.4, f Suppose 2*m = n + 129 - 122, -5*n = -5*m + 40. Sort -2, -1, n, 26, 4 in ascending order. n, -2, -1, 4, 26 Suppose -123 = j - 2*j. Let v = j + -245/2. Let a be (-3 - -6)/((-6)/8). Sort v, -3/17, a in decreasing order. v, -3/17, a Let c be (792/2475)/(16/(-20)). Sort -4, c, 0.4, -252 in ascending order. -252, -4, c, 0.4 Let q = -0.10679 - -1.10679. Sort -1, -8/5, q, 1/4. -8/5, -1, 1/4, q Let o = 38551 + -38547. Sort o, -1, -0.4, 63, 2/5 in descending order. 63, o, 2/5, -0.4, -1 Let b be 3/7 + 15/(-35). Suppose b = -8*u + 25 - 65. Put u, -9, -2 in ascending order. -9, u, -2 Let u = -3 - -3.1. Let f = -298 + -373. Let t = f - -668. Put t, u, 13/2 in decreasing order. 13/2, u, t Let s = -14 + 2. Let i = -0.001 - 6.199. Let u = 9.2 + i. Sort u, s, 0, 2/3 in descending order. u, 2/3, 0, s Suppose -5*p + 5*u - 21 - 14 = 0, 11 = 2*p + 3*u. Let l(s) = 265*s + 3431. Let f be l(-13). Sort p, 0, f in increasing order. f, p, 0 Let i = -2196 - -2195.6. Put 1/4, 2/9, 30, i in decreasing order. 30, 1/4, 2/9, i Let p be (3978/570 - 3) + -4. Let v = 3.4 + -3.2. Put -1/6, p, v in decreasing order. v, p, -1/6 Let t(y) = -2*y + 18. Let i be t(7). Suppose 5*o - 26 = x - i*x, -4*o + 14 = -x. Let h be ((-5)/(-5))/(-1) + (1 - x). Sort 2, h, -1 in descending order. 2, -1, h Let r(l) = -6*l - 237. Let p be r(-3
{ "pile_set_name": "DM Mathematics" }
2. Let p = 5.41 + -0.41. Which is the nearest to l? (a) 1/8 (b) p (c) -3/4 a Let a = -0.01 - -1.11. Let n = -1 + a. Let s = 0.03 - -4.97. What is the closest to n in s, -1/2, 4? -1/2 Let w = -15 - -10. Let h = -27 - -82/3. What is the nearest to h in -0.2, 1, w? -0.2 Let j = -1.6 - -1.5. Let l = 23/99 + -5/11. What is the closest to l in 2, 0, j? j Let y be 3/(3/(12/4)). Let w = 20/13 + -86/39. Which is the nearest to w? (a) 0.4 (b) 0.2 (c) y b Let j(l) = -l - 16. Let h be j(-14). Let x be (2/16)/(h/4). Let o = 0.4 + -0.3. Which is the nearest to o? (a) 0 (b) x (c) -2/3 a Let n = 0 - -0.5. Let s = n + -0.8. Let q(f) = f + 4. Let p be q(-5). Which is the closest to p? (a) s (b) -3/5 (c) -0.5 b Let u(h) = h**2 + 3*h - 7. Let l be u(-5). Let i = -0.4 - -0.37. Let a = 0.07 - i. What is the nearest to a in l, -0.2, 0.2? 0.2 Let l = 28.12 - 27. Let q = l - 0.12. Which is the closest to -0.06? (a) 0.3 (b) -4 (c) q a Let j(q) = -q**3 + 3*q**2 + 4*q + 5. Let d be j(4). Suppose h - m = 3, -3*m = -d*h - 3 + 10. What is the closest to h in 2, -2/3, -1/2? -2/3 Let u = 37/18 - 14/9. Let p be (16/6 - 2)/(205/(-246)). What is the nearest to u in p, 2, -0.2? -0.2 Suppose -2*t = 2*t - 36. Suppose -2*l - l = t. Which is the closest to 2? (a) l (b) 2 (c) -1/3 b Let f = -2/7 + 48/119. Let u = -16 + 18. What is the nearest to 1/2 in f, 1/4, u? 1/4 Let g = 10.1 - 10. What is the closest to g in -1, 2/13, -2/5? 2/13 Let z be (-7)/((-175)/(-10)) + 0. Which is the closest to 1/4? (a) 3 (b) -1 (c) z c Let z = 0.11 - -3.89. Let t = z + -3. Let v = 1 - t. What is the nearest to v in 1, -0.4, -0.5? -0.4 Let a = 16 - 11. Let m = -4 + a. What is the nearest to m in -5, 5, -1/2? -1/2 Suppose 10 = -5*o + 3*a, 5*o + 23 = -a - 7. What is the closest to 2 in o, -2, 1? 1 Suppose 32*h - 30*h - 4 = 0. Which is the nearest to 0.4? (a) -4 (b) h (c) 3 b Let b = 3.8 - 4. Let r = -1 - -3. Let m = 0 - r. What is the nearest to 0.1 in b, 0.1, m? 0.1 Let g = 5 - 4. Let h = -3.8 + -1.2. Let u = 4 - 6. Which is the nearest to g? (a) u (b) h (c) 3 c Suppose 0 = -2*v + 2, -2*r = -7*r + 4*v + 286. Let o = r - 288/5. What is the nearest to 2/7 in -1, o, 2? o Let f(p) = p**3 + 3*p**2 - 2*p + 13. Let q be f(-4). What is the closest to 7 in q, -0.2, 0.1? q Let k be (12 + 0)*7/(-21). Which is the closest to -2/7? (a) 3 (b) k (c) -3 c Let y = -0.1 + 3.1. Which is the closest to 0.4? (a) -2 (b) y (c) -2/5 c Let z(x) = -3 - 3*x + 3*x - x. Let c be z(-3). What is the nearest to 1/2 in c, 2, 1/4? 1/4 Let y = 8 + -6. Let u = -0.4 - -1.4. Which is the nearest to -4? (a) y (b) 0 (c) u b Let r = 11 + -9.2. Let v = r + -2. Let g = 447 + -446. Which is the closest to 0.1? (a) 0.3 (b) g (c) v a Let m(v) = 0 - 2*v**2 + 6*v**2 + v - 2 + 0*v**2 + v**3. Let y be m(-2). Which is the nearest to 0.1? (a) 1/2 (b) -0.5 (c) y a Let q = 16 + -21. Which is the nearest to 0.2? (a) -0.2 (b) q (c) -0.4 a Let b = -713/5 - -143. What is the closest to 2 in -1/3, b, 5? b Let y = -0.4 - 0.2. Let d = -0.59 - y. Which is the nearest to d? (a) 0.4 (b) 5 (c) -1 a Let t = -32 + 63/2. Let m = 5/2 - 2. Which is the closest to t? (a) -1/4 (b) 1/3 (c) m a Let x = -12 - -12.1. Which is the nearest to x? (a) -1 (b) -2/11 (c) 2/7 c Let y = -0.03 - -2.03. Let k = -1 - -2. Let q = 0.112 + 0.288. Which is the closest to k? (a) q (b) -0.2 (c) y a Let d = -2.5 - -2. Let h be (-1)/3*(0 + 2). What is the closest to h in d, 0, 4? d Let x = 34.7 - 33. Let m = x - 0.7. What is the nearest to m in -5, -4, -1/8? -1/8 Let i be (-538)/(-7)*(-12)/8. Let u = i - -115. What is the closest to -1 in u, -5, 1? u Let z = -0.3 - -0.4. Let m be 7/15 - 2/(-10). Which is the closest to m? (a) 4 (b) 2/13 (c) z b Let g = 92 + -281/3. What is the closest to -2/13 in g, -2, 0.2? 0.2 Let n = -3 + 2.7. Let f = 0.2 + n. Let p = f - -0.5. Which is the closest to 0.2? (a) p (b) 2/7 (c) -1 b Let v = -0.02 - 0.08. Which is the closest to -0.006? (a) 3 (b) 2/3 (c) v c Let v be (-2)/(-6) - (-4)/(-3). Let k be (3 - -2)/((-1)/v). Which is the closest to 1? (a) -2 (b) k (c) 0.2 c Let d = -2.6 + 2.4. Let j = 3 - -0.1. Let t = j - 0.1. Which is the closest to -2? (a) t (b) 0.3 (c) d c Let x = 14 - 29/2. Let j = -0.5 + 1. Let s = j - 2.5. What is the nearest to -1 in s, x, 0.5? x Let s be -1 + 3 - (-5)/(-1). Let a = 76 + -78. What is the closest to 1/4 in -1, a, s? -1 Let g = 83 + -329/4. Let n = 21/5 - 79/20. Which is the nearest to -1? (a) 0.3 (b) n (c) g b Let o be ((-2)/4)/(2/(-4)). Let q = -119/96 + -3/32. Which is the nearest to o? (a) 0.3 (b) q (c) -5 a Let o = -29 - -28. Suppose 5*u = y + 3, -2*y - 3*u = -2*u + 6. Which is the closest to o? (a) 4 (b) -3/5 (c) y b Let d(q) = q**2 - q - 2. Let j be d(-2). Let i = 2 + -2.1. Which is the nearest to 0.3? (a) -5 (b) i (c) j b Let y = 12 + -11. Let w be (-64)/110 - (-2)/5. Let j = 0.6 + 0.4. What is the nearest to j in w, y, -0.4? y Let z = -0.44 - -0.64. Which is the nearest to z? (a) -0.4 (b) 1 (c) 1/5 c Let u = 45 + -63. Let r = -17 - u. Let q = -0.3 - -0.1. What is the nearest to r in 1/5, -0.4, q? 1/5 Suppose -a + 3*a = 8. What is the nearest to -2 in -4, a, 3? -4 Let p = 659/9 - 73. Let a = 422.9 + -423. Let j = 0.3 + -1.3. What is the nearest to j in 0.3, a, p? a Let c be (-8)/(-6) + 2/(-3). Let n = -133 - -134. Let v be (3 + -8)*(-2)/(-5). What is the closest to c in n, v, -2/7? n Let a = -0.4 - -0.9. Let l = 0.08 - -9.92. Let p = l - 11. What is the nearest to p in 4, a, 0.4? 0.4 Let a = 16.6 - 24. Let p = 7 + a. What is the nearest to -1 in p, 2/21, -4? p Let r = 0.3 - 1.3. What is the nearest to r in 3, 5, -0.4? -0.4 Let w = 3.01 - 3. Let i = -5.01 + w. Let y be (5/70)/((-2)/4). Which is the nearest to -1? (a) i (b) y (c) 2/17 b Let o = 13 + -19. Let l = o + 4.4. Let k = 2 + l. Which is the nearest to 0? (a) k (b) 5 (c) 5/2 a Let l = -75.1 - -79. Let n = 4 - l. Which is the closest to n? (a) -1 (b) -0.4 (c) 0.1 c Let m be 16/(-56) + 19/42. What is the closest to -2/9 in m, 3, 5? m Suppose 0 = 2*h - 0*h - 4. Let n = 0.04 + -0.1. Let d = n - 1.94. Which is the closest to 0.1? (a) h (b) 3/8 (c) d b Let a = 21 - 21. Suppose 0*i + 4*b = i + 2, -4*i = 5*b + 8. Let k be ((-20)/6 - i) + 2. What is the closest to a in 2, -1/3, k? -1/3 Suppose -1 = -2*i - 3, u + 3*i = 1. Which is the nearest to 2? (a) -2/11 (b) u (c) 0.3 c Let x = 0.17 + -0.07. Let k = -0.3 - -0.1. Suppose -4*z + 3*s + s + 20 = 0, -2*z - 5*s = -10. Which is the closest to x? (a) z (b) k (c) 1/2 b Let v = 47/156 - 2/39. Let t = 7.3 - 7. Let d = -0.9 - 0.1. Which is the closest to d? (a) v (b) t (c) -4 a Suppose -4*k = -k. Suppose f + 2*f - 15 = 0. Suppose p = -k*p - j - 9, 0 = 4*p + f*j + 41. What is the closest to 2 in p, -2, 2/7? 2/7 Let k = 5.2 - 5. Let j = 0 - k. Let o = -304/3 + 103. What is the closest to j in -0.5, o, 4/7? -0.5 Let z be ((-11)/(-6))/(-11)*-3 - 1. Let b = -0.28 + -0.02. What is the closest to 1/2 in z, -1/4, b? -1/4 Let h be 40/(-24)*(-33)/2. Let u = h + -28. What is the closest to u in 1/4, 0.3, -0.2? -0.2 Let v = 5 - 11. Let s = -8 - v. What is the closest to s in -1, -1/4, -0.5? -1 Let x = 1/29 + 53/145. Which is the nearest to 9? (a) -6/5 (b) x (c) -0.3 b Let c = -9.6 + 10. Let l = c + -0.7. Let u = 0.1 - 0. What is the nearest to u in -0.1, -1/3, l? -0.1 Let z(h) = h**3 - 4*h**2 + 3*h. Let x be z(2). Let v be (-2 - 1*x) + 2. Let k = 2.2 + -2.5. What is the nearest to -1 in 4, v, k? k Let u be (4/2)/(-12)*2. Let q = -2.53 - -0.03. Let n = -3 - q. Which is the closest to u? (a) 3 (b) -4 (c) n c Let h = 21.8 - 20.8. Which is the nearest to h? (a) -3 (b) -0.3 (c) -2 b Let i = 7 + -4. Suppose -6*y - 4 = -4*y. Which is the closest to 1? (a) y (b) 1 (c) i b Let t(z) = -z**3 - 10*z**2 - 9*z. Let x be t(-9). What is the closest to -0.1 in x, -2, -5? x Let x = -63 + 59. What is the nearest to 2/7 in x, -12, 0? 0 Let y = 1.2 + 0.8. Let f = y - 3. Which is the closest to f? (a) -2/17 (b) 2 (c) 1 a Suppose 0 = 3*b + n + 9, -4*b + n - 17 = 4*n. Let i be 15/(-12) + 2/8. Let y be 1/((i - -2)*-3). What is the closest to y in 2/5, -0.4, b? -0.4 Let m = -1.23 + 0.23. What is the nearest to -0.2 in 4, 1, m? m Let i = -67 - -63. Which
{ "pile_set_name": "DM Mathematics" }
the common denominator of p and (-13)/(-2)*1/(-5). 90 Let d be 0 + -1 + (-5746)/12. Let q be 484 + (-3 + 2 - 0). Let v = q + d. What is the common denominator of v and -37/2? 6 Let u = 7780/63 + -1078/9. Suppose -l + 6*l = 10745. Let g = l - 12983/6. Calculate the common denominator of g and u. 42 Suppose 4 + 6 = 2*g. Suppose 5*u = 4*z - 26, -g*z + 23 = -u + 1. Calculate the common denominator of (-97)/(-2)*u/14 and 41/16. 112 Suppose 3*q + 5*n = -5, 3*q + 3*n - 3 = -0*n. What is the lowest common multiple of 10 and q? 10 Let k = -1262 - -25249/20. Find the common denominator of k and 131/6. 60 What is the common denominator of -91/20 and (-1)/2 - 511/(-112)? 80 Let y = -21 + 25. What is the lowest common multiple of 2 and y? 4 Let w = 28/15 - 551/30. What is the common denominator of ((-423)/24)/((-18)/(-8)) and w? 6 Let b = 571 + -4559/8. Find the common denominator of 91/8 and b. 8 Let w = 27752 - 499673/18. What is the common denominator of -11/2 and w? 18 What is the common denominator of 83/6 and (2/(-32))/(6 + -8)? 96 Suppose 0*b = -3*b + 18. What is the least common multiple of b and (24/5)/((-18)/(-60))? 48 Let p = -3 - -7. Calculate the common denominator of ((-63)/15)/(3/p) and -13/8. 40 What is the lowest common multiple of 9 - (1 - 1)/(-1 - 1) and 18? 18 Let z = 8800 - 176051/20. Calculate the common denominator of -49/2 and z. 20 Calculate the least common multiple of (-17 - -20)/((-2)/(-12)) and 51. 306 Let y(w) = w**3 - w**2 - w + 7. Calculate the smallest common multiple of y(3) and 8. 88 Let l(d) = -d + 2. Let i be (-92)/(-28) - (-4)/(-14). Let v = i - 1. Calculate the least common multiple of l(0) and v. 2 Let v be ((-8)/(-12))/((-4)/(-18)). Suppose -v*a + 2 = 17. Calculate the lowest common multiple of 3/a - 8/(-5) and 6. 6 Let o be 13341/(-12) + (-1)/4. Let t be ((-15)/40)/(2/o). Let m = t - 215. Calculate the common denominator of m and -23/9. 18 Let t = 9 + 10. Let w = t - -1. Calculate the smallest common multiple of (-4 - -3) + -1 - -4 and w. 20 Calculate the smallest common multiple of 14 and ((-2)/(-3))/(9/216)*1. 112 Let f = 49799/60 - 4122/5. Let o be 813/5528*(-8490)/405. Let u = -2/6219 + o. Find the common denominator of f and u. 12 Suppose 5*h = -i + 30, -5*i = 3*h - 0*i - 40. Suppose -h*c + 18 = 3*z - 1, -4*c + 28 = -4*z. What is the least common multiple of 6 and 1*(0/(-3) - z)? 6 Suppose 3*k - 12 = -3. Suppose 3 + k = o. Let w(q) = q + 1. Calculate the least common multiple of o and w(2). 6 Suppose 0 = -4*c + 2*s + 2 - 64, -30 = 3*c + 4*s. Let x be (-52)/c + (-4)/(-14). Suppose -x*f = -0*f + 56. What is the common denominator of 29/9 and f? 9 Let h be 0 + 3/(-3) - 15. Find the common denominator of h/(-10) + 3/6 and 97/4. 20 Suppose -3 = -3*a + 9. What is the smallest common multiple of a and 2? 4 Let z(w) = -w**2 + 5*w + 2. Let a be z(5). Let l be (a/4)/(2/(-20)). Calculate the lowest common multiple of 5 and 10/25 + (-3)/l. 5 Let g = 6 + -2. Let v be -1 + g + -1*1. Find the common denominator of 85/2 and 102/(-9) - v/4. 6 Suppose -4*v = 4*z - 1124, -511 = -4*z - 5*v + 612. What is the common denominator of 3/(-36)*z/(-8) and -77/2? 16 Let m(d) = d - 59. Let w be m(0). Let o = w + 38. Let u = o - -35. Calculate the least common multiple of 18 and u. 126 Let z be 1290/(-40) + 2/8. Calculate the common denominator of 29/20 and (-2)/(z/(-6)) - 0. 40 Let n = 170944/19 - 8995. Calculate the common denominator of n and -56/3. 57 Let z be (123352923795/483984)/(1380086/(-8)). Let o = z + -2/21675089. Let s = 13/214 + o. Calculate the common denominator of 27/16 and s. 48 Let t = 371/328 - -10/41. Let c be 0 + (-50505)/(-27) + -2. Let o = -1871 + c. Calculate the common denominator of t and o. 72 Suppose -1 - 5 = 2*q, -5*c + 31 = -2*q. Suppose -n + 6*n + 4*o + c = 0, 5*n + 3*o = 0. Calculate the smallest common multiple of 5 and n. 15 Let c(v) = v**2 - v + 4*v - 5 + 2. Let m be c(-5). Suppose -2*u - u = -i - 1, i = 5*u - m. What is the least common multiple of 10 and i? 40 Find the common denominator of 65/24 and (-1 + -6)*((-10)/(-2))/(-90). 72 Let p = 2030103599333/89040678846 - -74082/2224571. Let i = p - -2/6671. Find the common denominator of i and 67/18. 18 Calculate the smallest common multiple of 25 and 30/4*(-28)/(-21). 50 Suppose -2*v = -g + 14, 4*g - v - 61 = 2*v. Suppose 2*c - g = -2. What is the least common multiple of 1*(1 + 0) - -10 and c? 77 Let t = 2/31096787 + -1323572545477/6157163826. Let k = -1922/9 - t. What is the common denominator of -13/16 and k? 176 Let z(s) = 2*s**2 + 5*s - 4. Let h be 2*2 - (-1 - 0). Suppose h*y = -5*n + 100, y = -7*n + 4*n + 20. Calculate the smallest common multiple of y and z(-4). 40 Let y = 3206282 + -44842671/14. Let u = y + -3227. What is the common denominator of -109/22 and u? 154 Let b = 2 - -5. Let s = 18 - b. Suppose 1 = 2*n - s. What is the lowest common multiple of 6 and n? 6 Let d be (3387/(-1092))/(3/18). Let x = d + 254/13. Calculate the common denominator of x and -7/20. 140 Let o = 1171 - 8184/7. Let c(a) = a**3 + 11*a**2 + 12*a - 9. Let s(u) = u**2 + 7*u + 3. Let n be s(-4). Calculate the common denominator of c(n) and o. 7 Calculate the lowest common multiple of (-78)/(-5) + (-2)/(-5) and 288/128 - ((-3)/4 + 1). 16 Let u = 3 - 2. Let w = 11 - 10. What is the smallest common multiple of -3*(-14)/6*u and w? 7 Suppose 2*y = 3*y - 1. Calculate the smallest common multiple of y and 6. 6 Let s = -178357/35992 + 3/3272. Let p = -8/631 + -19433/10096. Calculate the common denominator of s and p. 176 Let z be 1/((-24)/(-16863303)) - 1. Let h = -701374 + z. Let c = h - 1259. Find the common denominator of 47/4 and c. 8 Let x = 69 + -51. Calculate the smallest common multiple of x and 4. 36 Let p(h) = -h**2 + 6*h. Let k be p(5). Suppose 4*s + k*x = -s - 565, x = 4*s + 437. Find the common denominator of 139/12 and 501/s + 8/(-20). 132 Let x = -1424/195 + -74/39. Calculate the common denominator of x and -29/4. 20 Let p = 22 + -17. What is the smallest common multiple of 6 and p? 30 Suppose 0 = -0*j - 4*j + 20. Suppose 4*n = -5*l + 30 + 56, -l - 6 = -j*n. What is the smallest common multiple of 16 and l? 112 Calculate the common denominator of (-2)/3*((-116)/(-16) + 7) and -27/7. 14 Let s = 13 + -9. Suppose j = -3*b + 8, s = 4*j - 16. Calculate the smallest common multiple of b and 2. 2 Suppose 4*b = 2*p + 2*p - 8, -5*p = 2*b - 10. Calculate the smallest common multiple of p - (-2 - -2) - 1 and 2. 2 Let q(r) = -r**3 - 14*r**2 + 15*r + 7. Suppose 0 + 1 = b. What is the lowest common multiple of q(-15) and b? 7 Suppose 2 = -3*m - 1. Find the common denominator of 71/6 and -2*14*m/(-2). 6 Suppose 3*w - 2*u = -w + 52, 4*u - 52 = -5*w. Calculate the least common multiple of 22 and w. 132 Suppose 0 = -2*f - 22 - 2. Calculate the common denominator of (-18)/(-33)*f/(-9) and -8/9. 99 Suppose -4358 - 8734 = 4*q. Let i = 12070 - q. Let u = i - 184259/12. Calculate the common denominator of u and 61/12. 12 Suppose -4*z + 26 - 90 = 2*q, -4*z - 128 = 4*q. Let o = q - -52. What is the lowest common multiple of 14 and o? 140 Calculate the common denominator of -61/8 and ((-72)/(-48))/(7/(1526/120)). 40 Suppose 0 = -6*q + 42 - 0. What is the lowest common multiple of 226 and q? 1582 Let v = 0 - 22. Let t = -4 - v. What is the lowest common multiple of 14 and t? 126 Let o = 101429/28098 - -2/1561. Suppose 2*v - 4*a + 2 = a, 2*v + 5*a - 38 = 0. Find the common denominator of o and 1132/144 + 2/v. 36 Let d(x) = x**2 + 10*x + 2. Let j be d(-10). Suppose -4*h + 3*q + 39 = 0, -6*h + j*h + 5*q = -41. Calculate the lowest common multiple of h and 1. 9 Let w = 1571/2 + -769. What is the common denominator of w and 98/24 + (-3)/(-9)? 12 Let n = 45/49 - 4223/490. What is the common denominator of n and 111/22? 110 Let p = 3 + -3. Suppose p = -5*s + 4*y + 95 - 13, -y = 5*s - 92. What is the least common multiple of s and (0 + 1 + -3)*-11? 198 Suppose -g - 17 = 5*x + 4, -4*x - 13 = -3*g. Let t = x + 7. What is the smallest common multiple of (-28)/(-16) + (-2)/(-8) and t? 6 Suppose 3 = 4*y - 3*y. What is the common denominator of (4/100)/((-4)/(-670)) and (0 - y)/((-20)/46)? 10 Suppose 16 = 4*m - 0. Calculate the smallest common multiple of 6 and 3 + 0 + (m - 2). 30 Calculate the comm
{ "pile_set_name": "DM Mathematics" }
7)/10 Simplify (sqrt(6) - (sqrt(486)*1 + sqrt(486) + sqrt(486)))/(sqrt(162)/sqrt(6)) - ((-1*sqrt(198))/sqrt(11))/(sqrt(45)/(sqrt(20)/sqrt(4))). -23*sqrt(2)/3 Simplify (-5 + -4 + (sqrt(304) - (sqrt(304) + -2 - sqrt(304))))**2 + (sqrt(304) + (-4*sqrt(304)*1 - sqrt(304)) - (2*-1*sqrt(304) + sqrt(304)))**2. -56*sqrt(19) + 3089 Simplify 2*((-2*sqrt(80) + -3)**2 + ((2 + sqrt(80))*6)**2 + sqrt(80))*1*2. 2512*sqrt(5) + 13412 Simplify (4 + 2 + sqrt(252)/sqrt(9) + (-2 + sqrt(7)*-2 - sqrt(21)/(sqrt(21)/sqrt(7))))**2. -8*sqrt(7) + 23 Simplify ((sqrt(425) - (sqrt(425) + 2*sqrt(425)))*-2)**2 - ((sqrt(119) - sqrt(119)*2)*5)/sqrt(7). 5*sqrt(17) + 6800 Simplify (3*sqrt(270) + sqrt(30) + sqrt(480)*-5)/((sqrt(6) - (sqrt(6) - (sqrt(24)*2 - sqrt(6)))) + -4*(sqrt(6) - sqrt(24) - sqrt(6))). -10*sqrt(5)/11 Simplify -4*(-2 + -4*(sqrt(320) + 0) + -4)**2. -20624 - 1536*sqrt(5) Simplify (-1*sqrt(270)*-4)/(sqrt(54)/(sqrt(9) - 3*sqrt(9))) + -4. -24*sqrt(5) - 4 Simplify ((sqrt(187) + sqrt(187) + (2*sqrt(187) - sqrt(187))*6)*-4)/(sqrt(66)/(2*sqrt(216))). -384*sqrt(17) Simplify 6*((sqrt(500)*2)/(-6*-3*sqrt(4)) + 0)**2. 250/27 Simplify ((sqrt(243)*1 + 3)*-3 + 1)**2*-4. -9004 - 1728*sqrt(3) Simplify 6*(sqrt(1331)*-2 + 1 + 0)**2 + 1. -264*sqrt(11) + 31951 Simplify (-4*(5 + ((sqrt(637) - ((sqrt(637) - sqrt(637)*2) + 4)) + -5*(sqrt(637) + sqrt(637) + 1))*2))**2. 46592*sqrt(13) + 2611856 Simplify (1*(sqrt(104) + -1*sqrt(104) + sqrt(104))*-2)/(sqrt(24)/(-3*sqrt(9)/sqrt(3))). 6*sqrt(13) Simplify ((sqrt(63)*4 + sqrt(7))*4 - (-3 + sqrt(7)*-2)*3)**2 + 5. 1044*sqrt(7) + 23634 Simplify ((4 + -2*sqrt(1053) + sqrt(1053) - sqrt(1053) - sqrt(1053)) + sqrt(1053) + 5 + -4 + (2 + sqrt(1053))*5)**2. 810*sqrt(13) + 9702 Simplify ((2*sqrt(320) - (-1 + sqrt(5) + -1)) + sqrt(25)/sqrt(5)*-5 + 0)**2. 40*sqrt(5) + 504 Simplify (-3*-4*(0 + sqrt(13)) - (1*sqrt(130)*1)/sqrt(10))*6. 66*sqrt(13) Simplify (sqrt(304)*1*6 + (3*(sqrt(19) + 0) - -1*2*sqrt(19))**2)*4. 96*sqrt(19) + 1900 Simplify ((4*-1*sqrt(475) - (2 + sqrt(475))*-4)*4)**2 + -3. 1021 Simplify (-2 + sqrt(272)*1)**2 - sqrt(187)/(((2*sqrt(99) - sqrt(99)) + sqrt(99) + sqrt(99) + sqrt(99))/sqrt(9)). -65*sqrt(17)/4 + 276 Simplify (sqrt(150)/(4*(sqrt(5) + sqrt(5) + sqrt(80))))/((sqrt(66)*1 + sqrt(66))/sqrt(11) + sqrt(726) + sqrt(726)*1). sqrt(5)/576 Simplify 4*(2*(-3*(sqrt(931) + -1 + sqrt(931)) - (sqrt(304)*-1 + 0)))**2. -3648*sqrt(19) + 439120 Simplify (1 + (sqrt(22)/sqrt(2)*6 - (sqrt(11) - -2*sqrt(176) - sqrt(11))))**2 + 5. -4*sqrt(11) + 50 Simplify (-1 + (sqrt(252) - (-3 + sqrt(252))) + 5 + 1)**2. 64 Simplify (-1*sqrt(19)*4 + 3)**2 - (-2 + -3 + (-2*sqrt(19))**2). -24*sqrt(19) + 242 Simplify ((0 + 2 + sqrt(1872) + 1)*1*-4)**2. 1152*sqrt(13) + 30096 Simplify 5 + 1 + (-3 + (sqrt(243) + sqrt(243) + 1*sqrt(243) + -5 - sqrt(243)))**2. -288*sqrt(3) + 1042 Simplify ((sqrt(35) + -1*sqrt(35)*6)/((5*sqrt(20))/sqrt(4)))**2. 7 Simplify ((sqrt(11) - (sqrt(11) + sqrt(44)/sqrt(4) + -3))*-5)**2 + sqrt(66)/sqrt(216)*-3. -301*sqrt(11)/2 + 500 Simplify (sqrt(275) + sqrt(275) + sqrt(275)*-2*-6 - -2*(sqrt(275) + 2))**2. 640*sqrt(11) + 70416 Simplify -1*(((-4*-1*sqrt(130) - sqrt(130)) + sqrt(130) - sqrt(130)) + sqrt(130) + sqrt(130))/(-3*sqrt(360))*-4. -10*sqrt(13)/9 Simplify ((sqrt(30)/sqrt(3)*-3 - sqrt(10)) + (sqrt(10) - sqrt(50)/(sqrt(20)/sqrt(4))))/((sqrt(720) + sqrt(720)*-3)*4). sqrt(2)/24 Simplify (sqrt(98) + 3)**2 - (sqrt(200) + 2) - ((sqrt(8) + 0 + sqrt(8))**2 - (1 + sqrt(8))). 34*sqrt(2) + 74 Simplify ((sqrt(33)*2*-2)/(sqrt(132)/(sqrt(12) - (sqrt(12)*-1 + sqrt(12)))) + ((sqrt(198) - sqrt(198)*1)/sqrt(11))/(sqrt(864)*-1))**2. 48 Simplify (5*(((-2*sqrt(76) - sqrt(76) - sqrt(76))*-3 - sqrt(76)) + 1*sqrt(76)*-2)/((sqrt(32) + (sqrt(32) - sqrt(32)*2)*2)/sqrt(8)))**2. 38475 Simplify -3*((sqrt(1216) - (-1*sqrt(1216) - sqrt(1216))) + -5 + (sqrt(1216) - ((sqrt(1216) - (1 + sqrt(1216))) + sqrt(1216) + 5)) + -5)**2*4. -133680 + 8064*sqrt(19) Simplify (sqrt(450) - (sqrt(450)*1 - sqrt(450)) - sqrt(450))/(sqrt(9) - (sqrt(108) - sqrt(108)*5)/sqrt(12)). 0 Simplify ((sqrt(99)*-2*-2)/(-6*sqrt(324) + sqrt(9) + sqrt(9)) + 2)*6. -12*sqrt(11)/17 + 12 Simplify ((-1*sqrt(480))/sqrt(5))/(((sqrt(243) - (sqrt(243) + (1*sqrt(243) - sqrt(243) - sqrt(243)))) + sqrt(243))*1). -2*sqrt(2)/9 Simplify (1 + 1 + sqrt(128) - (0 + 2*sqrt(128)))*-6. -12 + 48*sqrt(2) Simplify (sqrt(100)/(sqrt(15)/sqrt(3)))/(sqrt(196) - (sqrt(196) - (sqrt(196)*3 + sqrt(196)))) + 3. sqrt(5)/28 + 3 Simplify ((-3 + sqrt(500))*4 - sqrt(500) - (sqrt(500)*5 + -3))**2. 360*sqrt(5) + 2081 Simplify (2*(4 + (sqrt(76) + 3*sqrt(76))*-5))**2. -1280*sqrt(19) + 121664 Simplify ((sqrt(209)*1*-6 - sqrt(209))*-5)/(sqrt(22)/sqrt(2)*-1 - ((sqrt(99) - (sqrt(99) + sqrt(99)*-1 + sqrt(99))) + sqrt(99))/sqrt(9)). -35*sqrt(19)/2 Simplify (4*(sqrt(40) - sqrt(5760)))/(-3*(sqrt(8) - (-2*sqrt(8) - sqrt(8))))*-3. -11*sqrt(5) Simplify ((sqrt(220) + (sqrt(220) - 2*(sqrt(220) - (1*sqrt(220) - sqrt(220)))))/sqrt(11))/(sqrt(110)/(sqrt(11) + sqrt(704) + sqrt(704)*-2)). 0 Simplify (sqrt(28) + -5 + -1 + sqrt(847) + -4 + sqrt(700) + -4)*4. -56 + 92*sqrt(7) Simplify (1*sqrt(119)*-2 - -3*sqrt(119)*1)/((sqrt(42) - (sqrt(672) + (sqrt(672) - (sqrt(672) - sqrt(672)*-4)) - sqrt(672)))/sqrt(6)). sqrt(17)/17 Simplify (((sqrt(39) + sqrt(351) + sqrt(39))*-6 + sqrt(39) + ((sqrt(117)*-1)/sqrt(3) - sqrt(39) - sqrt(39)))/(sqrt(12)/(-3*-1*sqrt(4))))**2. 119808 Simplify (1*-1*(-2*sqrt(66))/sqrt(6))**2 + ((sqrt(396)*-2 + 5 + sqrt(396))**2 - 4*sqrt(396)*1). -84*sqrt(11) + 465 Simplify (0 + sqrt(3)*-2 - -1*(sqrt(3)*1 - sqrt(3)))*-1 - ((sqrt(192) + 1)*3 + sqrt(192))*4. -126*sqrt(3) - 12 Simplify (sqrt(75) - (-4 + sqrt(75) + -4)**2) + 5 + sqrt(75) + 1. -133 + 90*sqrt(3) Simplify 1*(-2 + sqrt(891)*-4 - sqrt(891))**2*-5*-1. 900*sqrt(11) + 111395 Simplify (5 + -1*-4*sqrt(175) + 2)**2. 280*sqrt(7) + 2849 Simplify (1 + (-2*(sqrt(11) + 1) + 5*sqrt(99)/sqrt(9))**2)*-2. -208 + 24*sqrt(11) Simplify (sqrt(7200)*2*-4)/(((sqrt(200) + sqrt(200)*1)/sqrt(5))/sqrt(4)). -48*sqrt(5) Simplify ((sqrt(324)*2*6)/sqrt(12))/(sqrt(81)*3 - ((-1*sqrt(99) + sqrt(99))/sqrt(11) - sqrt(9))). 6*sqrt(3)/5 Simplify (((sqrt(88) - 6*(sqrt(88)*-1 - sqrt(88)))*4)/(sqrt(72)/(4*sqrt(18)/sqrt(2))))**2. 475904 Simplify (4*(-5*1*sqrt(78) - sqrt(78)))/(((sqrt(180) - (sqrt(180) + sqrt(180)*-1))/sqrt(3))/sqrt(10)). -24*sqrt(13) Simplify (1*sqrt(66)/sqrt(2))/(2*sqrt(44)) - (0 + (sqrt(6)/sqrt(2)*6 - (0 + sqrt(12)))). -15*sqrt(3)/4 Simplify (sqrt(112)*-1 - sqrt(112)) + -1 + (-5*sqrt(28)/sqrt(4) - (sqrt(7) + sqrt(7) + (sqrt(7) - (3 + -2*sqrt(7))))). -18*sqrt(7) + 2 Simplify ((0 + 5*sqrt(320) + -5)*-2)**2 + 1. -1600*sqrt(5) + 32101 Simplify (0 + (1*sqrt(1260))/(sqrt(125) + (-3*sqrt(125) - sqrt(125))))**2. 28/25 Simplify -1*(-2*sqrt(2548) + 4) + 5. 1 + 28*sqrt(13) Simplify (1*(1 + 1 + sqrt(11)) + -2)**2*-3 + 1. -32 Simplify ((-5*(1 + sqrt(125))*-6 - (1 + sqrt(125)*-1*4)) + 3)**2. 10880*sqrt(5) + 145524 Simplify (6*(0 + (sqrt(2299) - -1*sqrt(2299)*5)))**2. 2979504 Simplify 3 + sqrt(98)*-2 + sqrt(98) + -1 + 0. -7*sqrt(2) + 2 Simplify (4*-3*(1*sqrt(567) - sqrt(567)))**2 + -4. -4 Simplify (-1 + sqrt(200) + 1 + sqrt(8)/(2*sqrt(400)))**2. 40401/200 Simplify (-4 + 5 + 5*(-4 + -1 + sqrt(448) + -1))**2. -2320*sqrt(7) + 12041 Simplify -5 + (sqrt(75) - (0 + sqrt(75))) + 2 + -2*(1 + sqrt(75) + 5). -10*sqrt(3) - 15 Simplify ((-1 + -4*sqrt(20)*-4 + 2)*5)**2. 1600*sqrt(5) + 128025 Simplify (-6*sqrt(36)/sqrt(2))/(-3*sqrt(18)/sqrt(3)). 2*sqrt(3) Simplify (-3*(sqrt(1008) - (-2 + (sqrt(1008) - (0 + sqrt(1008))))) + -4)*-2. 20 + 72*sqrt(7) Simplify ((6*sqrt(1512) - sqrt(1512))/(sqrt(6) + sqrt(12)/sqrt(2)*-3) + 2)**2. -60*sqrt(7) + 1579 Simplify 2*(((sqrt(171) - (sqrt(171) + -1)) + 4)**2 - ((-1*sqrt(1539)*-3)**2 + sqrt(1539))). -27652 - 18*sqrt(19) Simplify (((sqrt(208) + sqrt(208) + sqrt(208) + -3*sqrt(208)*3 - sqrt(208))/sqrt(8))/(sqrt(18) + (sqrt(162)*-1 - sqrt(162) - sqrt(162))))**2. 637/576 Simplify (-1 + sqrt(108) + 5 + -1 - 2*3*1*sqrt(108))**2. -180*sqrt(3) + 2709 Simplify -4 + sqrt(153)/sqrt(9) + 5 + 3*(sqrt(17) - sqrt(272))*6. -53*sqrt(17) + 1 Simplify ((sqrt(11) - (5 + -2 + sqrt(11)))*-5 + 6*(sqrt(539) + 1))**2. 1764*sqrt(11) + 19845 Simplify ((sqrt(561)*-1)/sqrt(11) - sqrt(7344)*2)/(sqrt(30)/(-5*sqrt(10)*1)). 125*sqrt(17) Simplify (-6*(sqr
{ "pile_set_name": "DM Mathematics" }
. 2*x**3*(x - 1)*(x + 1) Let y(o) be the third derivative of -o**5/270 - 8*o**2. Determine u so that y(u) = 0. 0 Suppose 9*a = 5*a. Let u(l) be the second derivative of -l**2 + 1/3*l**4 + a + l - 1/3*l**3 + 1/5*l**5 - 1/15*l**6 - 1/21*l**7. What is x in u(x) = 0? -1, 1 Let g(s) be the first derivative of 1/15*s**6 - 4/5*s**2 + 8/15*s**3 + 3/10*s**4 - 8/25*s**5 + 0*s - 4. Determine b so that g(b) = 0. -1, 0, 1, 2 Determine t, given that -12*t - 32*t**5 - 20*t**4 - 8*t + 37*t**5 + 20*t**2 + 15*t**3 = 0. -1, 0, 1, 2 Let k(p) be the second derivative of -p**8/13440 + p**7/5040 + p**4/12 + 3*p. Let b(o) be the third derivative of k(o). Find a such that b(a) = 0. 0, 1 Suppose -s - 4 = -8. Factor w**2 + 0 - w**s + 0*w**3 - 1/2*w**5 + 1/2*w. -w*(w - 1)*(w + 1)**3/2 Suppose 0 = -3*i - 19*u + 21*u + 8, -3*i + 4 = -4*u. Let m(d) be the second derivative of -1/10*d**5 + 2/9*d**3 - 5*d + 0 + 5/18*d**i + 0*d**2. Factor m(o). -2*o*(o - 2)*(3*o + 1)/3 Let d(i) be the third derivative of -i**8/6720 + i**7/3360 + i**6/1440 - i**5/480 + 2*i**3/3 + 2*i**2. Let m(x) be the first derivative of d(x). Factor m(k). -k*(k - 1)**2*(k + 1)/4 Solve p**5 - p**5 + 0*p**3 + 2*p + 2*p**5 - 4*p**3 = 0 for p. -1, 0, 1 Let s(w) = -6*w**3 + 3*w. Let r = 6 - 4. Let a(n) = -5*n**3 + 2*n. Let m(l) = r*s(l) - 3*a(l). Solve m(g) = 0. 0 Let o(h) be the second derivative of h**5/70 + 5*h**4/42 + 4*h**3/21 + 8*h. What is t in o(t) = 0? -4, -1, 0 Let n(f) be the third derivative of f**7/735 - f**5/70 - f**4/42 - 35*f**2. Suppose n(t) = 0. Calculate t. -1, 0, 2 Let y(q) = -11*q**2 + 6*q. Let b(p) = -p**2 + p. Let i(c) = 6*b(c) - y(c). Factor i(a). 5*a**2 Factor 2 - 3 - 1 + 2*b - 2 + 2*b**2. 2*(b - 1)*(b + 2) What is l in -7/5 + 6/5*l + 1/5*l**2 = 0? -7, 1 Let x(d) = -d**2 + d + 6. Let k be x(0). Let m(f) = -5*f**3 + f + 1. Let a be m(-1). Factor -k*v**2 - 3*v**3 + 4*v**3 + 1 + a*v**2 - v. (v - 1)**2*(v + 1) Let u be (45/60)/((-1)/(-4)). Let k(g) be the second derivative of -3*g - 1/12*g**u + 1/12*g**4 + 0*g**2 + 0 - 1/40*g**5. Factor k(v). -v*(v - 1)**2/2 Suppose -1 = q - 3*x - 7, -3*x - 6 = 3*q. Suppose 3*s + q*s = 0. Suppose -1/2 + 1/2*i**2 + s*i = 0. Calculate i. -1, 1 Let l = 1 + 2. Suppose -l*a = -a + 10, 5*g - 20 = 4*a. Find d, given that g*d**3 + 3*d**3 - d**3 + 2*d**4 = 0. -1, 0 Let d = 409 + -406. Solve 1 + 9/4*g**4 + 15/2*g**d + 37/4*g**2 + 5*g = 0. -1, -2/3 Let l be (-2 - -1)/(1/(-15)). Let m be l/(-6) + (1 - -2). Find b, given that -1/2*b - b**4 + m*b**3 + 0 + b**2 = 0. -1, 0, 1/2, 1 Factor 2*j**3 - 4*j**2 - 4*j + j**2 + j**2. 2*j*(j - 2)*(j + 1) Let i = 7 - 4. Factor 3*l**3 + 4*l - 3*l**i - l**3 - 6*l - 3*l**2. -l*(l + 1)*(l + 2) Let r(p) = p**3 - p + 1. Let t(d) = 4*d**3 - 8*d**2 - 3*d - 1. Let q(s) = -4*r(s) - 4*t(s). Factor q(o). -4*o*(o - 2)*(5*o + 2) Let t(w) = -8*w**3 + 2*w**2 + 3*w + 8. Let q = 9 + -14. Let v(r) = r**3 - r**2 - 1. Let d(k) = q*v(k) - t(k). Find j such that d(j) = 0. -1, 1 Let d(u) be the second derivative of -u**7/840 + u**6/60 - u**5/10 + u**4/3 - u**3/3 - 3*u. Let t(z) be the second derivative of d(z). Factor t(w). -(w - 2)**3 Let b(g) = 20*g + 5 + 4 + 14*g**2 - 1 + 2*g**3. Let l(a) = -2*a**3 - 15*a**2 - 21*a - 8. Suppose 0 = -2*j - 2*j + 16. Let w(t) = j*l(t) + 5*b(t). Factor w(i). 2*(i + 1)*(i + 2)**2 Let v = 7 + -5. Factor 2*s**2 - 3 - s + s + s**v. 3*(s - 1)*(s + 1) Determine g so that -3/2*g + 3/4*g**2 - 3/4*g**4 + 9/4*g**3 + 0 - 3/4*g**5 = 0. -2, -1, 0, 1 Let s(h) be the second derivative of -h**7/14 - 3*h**6/10 - 3*h**5/10 + h**4/2 + 3*h**3/2 + 3*h**2/2 - 2*h. Determine t, given that s(t) = 0. -1, 1 Let p(b) be the second derivative of b**5/4 - 5*b**4/4 + 5*b**3/3 - 8*b. Solve p(a) = 0 for a. 0, 1, 2 Let v(f) = -f**3 + 7*f**2 - 6*f + 8. Let z be v(6). Let a = -4 + z. Find m such that -7*m**3 + 6 + 4*m - 20*m**3 + 15*m**2 - 21*m**a + 23*m = 0. -1, -2/7, 1 Determine t, given that 3*t**2 - 3/2*t**5 + 0 - 3*t**4 + 0*t**3 + 3/2*t = 0. -1, 0, 1 Let y be -3 + 3 - (3 + -3). Let m(w) be the second derivative of y + 1/42*w**4 - 2/21*w**3 + w + 1/7*w**2. Factor m(g). 2*(g - 1)**2/7 Let n(i) = 5*i**5 + 2*i**4 - 10*i**3 + 2*i**2 - i. Let p(h) = -h**5 + h**4 + h**3 + h. Let w(o) = -3*n(o) - 3*p(o). Let w(q) = 0. What is q? -2, 0, 1/4, 1 Let h be (2 - 0 - 2)*(-2)/4. Let f(y) be the second derivative of -1/3*y**3 - 1/3*y**4 - 3*y + y**2 + h. Solve f(q) = 0. -1, 1/2 Factor -1/4*d**5 + 1/2*d**2 + 1/2*d**3 - 1/4 - 1/4*d - 1/4*d**4. -(d - 1)**2*(d + 1)**3/4 Let k(h) be the third derivative of -2*h**7/105 - h**6/15 + h**4/3 + 2*h**3/3 - 41*h**2. Factor k(w). -4*(w - 1)*(w + 1)**3 Let z(n) be the second derivative of -n**5/100 - n**4/60 + n**3/30 + n**2/10 - 11*n. Factor z(j). -(j - 1)*(j + 1)**2/5 Let o(p) = -8*p**2 + 3*p + 4. Let l(m) = -m**2 + m + 1. Let s(n) = -28*l(n) + 4*o(n). Suppose s(t) = 0. Calculate t. -3, -1 Suppose 0 = -26*k + 17*k. Factor -1/2*l + 1/2*l**2 + k. l*(l - 1)/2 Suppose -3*h = 4*d - 11, 0 = 3*h - d - 14 - 2. Let s(w) be the first derivative of 2/5*w**h + 2/15*w**3 + 4/5*w**4 + 3 + 0*w - 2/5*w**2. What is j in s(j) = 0? -1, 0, 2/5 Let z(k) be the second derivative of k**4/6 + k**3 + 2*k**2 + 8*k. Factor z(q). 2*(q + 1)*(q + 2) Let f be 2574/252 + (-5)/2. Solve -2/7*h**3 + f - 54/7*h + 18/7*h**2 = 0 for h. 3 Let g(b) be the first derivative of -b**7/147 - 2*b - 5. Let j(n) be the first derivative of g(n). Factor j(i). -2*i**5/7 Let n(z) be the second derivative of -z**4/18 + 16*z**3/9 - 64*z**2/3 + 60*z. Factor n(s). -2*(s - 8)**2/3 Let i(r) be the third derivative of -r**8/504 - 4*r**7/105 - 3*r**6/10 - 6*r**5/5 - 9*r**4/4 + 8*r**2. Determine s so that i(s) = 0. -3, 0 Let b(m) be the first derivative of -m**4/12 - 4*m**3/9 - 5*m**2/6 - 2*m/3 - 7. Suppose b(t) = 0. Calculate t. -2, -1 Factor -5/3 - 4/3*o + 1/3*o**2. (o - 5)*(o + 1)/3 Let y be ((-51)/(-459))/(2 - 22/12). Factor 0*s - 8/3*s**2 + 0 + 8/3*s**3 - y*s**4. -2*s**2*(s - 2)**2/3 Let c(z) be the first derivative of -3*z**5/5 - 9*z**4/4 - z**3 + 9*z**2/2 + 6*z - 11. Factor c(u). -3*(u - 1)*(u + 1)**2*(u + 2) Let w(r) be the second derivative of r**5/50 + r**4/15 - 4*r**3/15 - 8*r**2/5 - 7*r. Determine t, given that w(t) = 0. -2, 2 Suppose 0 = 5*s - 1 - 14. Let x be (-4)/(s + 0 + -5). Factor 7/5*w**x + 0 + w**3 + 2/5*w. w*(w + 1)*(5*w + 2)/5 Let b be 2/(-3) + 56/21. Determine m so that -1/4*m - 1/4*m**b + 0 = 0. -1, 0 Factor g**4 + 4*g**2 - 5*g**2 + 2*g**5 + 0*g**3 + g**3 - 3*g**5. -g**2*(g - 1)**2*(g + 1) Let c(k) be the second derivative of -k**4/8 - 7*k**3/2 - 39*k**2/4 - 16*k. Factor c(d). -3*(d + 1)*(d + 13)/2 Suppose 0 - 9/5*c + 12/5*c**4 + 3/5*c**5 - 12/5*c**2 + 6/5*c**3 = 0. What is c? -3, -1, 0, 1 Let o(a) be the first derivative of -2*a**5/25 + 2*a**4/5 + 4*a**3/15 - 12*a**2/5 - 18*a/5 - 3. Let o(u) = 0. What is u? -1, 3 Let l(o) be the second derivative of 0*o**3 + 1/90*o**5 - 3/2*o**2 - 1/36*o**4 + 0 - o. Let n(d) be the first derivative of l(d). Factor n(c). 2*c*(c - 1)/3 Let t(c) be the first derivative of -c**7/2520 + c**5/360 - 5*c**3/3 + 5. Let r(y) be the third derivative of t(y). Factor r(p). -p*(p - 1)*(p + 1)/3 Let s(n) = 3*n + 38. Let v be s(-12). Solve 2/3*c**v + 0 + 2/3*c = 0. -1, 0 Suppose u + 8 = -3*t - 3*u, -4*u = 2*t + 8. Suppose 5*v + t*v = 15. Factor 0*i**2 - 2*i**4 - 5*i**5 + v*i**5 + 2*i**2 + i + i**5. -i*(i - 1)*(i + 1)**3 Let 2*t**4 - 17*t**3 - 10*t**2 + 23*t**4 + 2*t**3 = 0. What is t? -2/5, 0, 1 Suppose 5*q = -0*q + 3*i - 30, -5*q - 25 = -2*i. Let z be 32/18 + q - -3. Factor z + 200/9*c + 1960/9*c**4 + 2030/9*c**3 + 940/9*c**2 + 686/9*c**5. 2*(c + 1)**2*(7*c + 2)**3/9 Let j(t) be the third derivative of -t**5/20 + t**4/30 + 2*t**3/15 + 14*t**2. Factor j(p). -(3*p - 2)*(5*p + 2)/5 Let h(y) be the third derivative of 0*y - 1/168*y**8 + 0*y**3 + 1/30*y**6 + 3*y**2 + 0*y**7 - 1/12*y**4 + 0*y**5 + 0. Let h(i) = 0. What is i? -1, 0, 1 Let p(q) = q**2 - 32*q - 225. Let j(t) = 6*t**2 - 161*t - 1125. Let d(b) = 2*j(b) - 11*p(b). What is x in d(x) = 0? -15 Let b(o) be the third derivative of -o**8/12 - 32*o**7/105 - 2*o**6/15 + 14*o**5/15 + 11*o**4/6 + 4*o**3/3 - 12*o**2. What is x in b(x) = 0? -1, -2/7, 1 Let w(x) be the second derivative of -x**7/420 - x**6/120 - x**5/120 - 3*x**2/2 - 2*x. Let p(i) be the first derivative of w(i). Factor p(y). -y**2*(y + 1
{ "pile_set_name": "DM Mathematics" }
5 + 4*v - 3 - 3 + 0. Let u be q(8). Calculate the greatest common factor of 14 and u. 7 Let g be (1 - 8/(-2)) + -2. Let z be ((-12)/(-7))/(g/21). Let k = 18 - z. What is the highest common divisor of 24 and k? 6 Suppose v - 8 = -0*v. Let t(s) = 12*s**2. Let k be t(1). Calculate the greatest common divisor of k and v. 4 Suppose 4*u = u - 6. Let r be -1 - (-14 + u + 0). Calculate the highest common factor of 60 and r. 15 Suppose g + z - 19 - 32 = 0, -199 = -4*g - 5*z. What is the highest common factor of 14 and g? 14 Let q = -12 - -17. Suppose 0 = q*o + 2*a - 79, -o + 49 = 2*o + 2*a. Let l be -2*(10/(-4) + 1). What is the greatest common divisor of o and l? 3 Let p be -3 - (-25 - (-6)/2). Suppose 2*k - p = -5. Calculate the highest common factor of 56 and k. 7 Let t be 110/15 - 2 - 4/(-6). What is the highest common divisor of t and 10? 2 Let c = 86 - 1. Suppose -4*w + c = 3*m - 152, -288 = -4*m + 4*w. What is the highest common divisor of m and 30? 15 Let w = -3 + 6. Suppose 2*u = -3*n + 6*u + 53, -w*n - 3*u = -18. Calculate the greatest common divisor of 121 and n. 11 Let j = -11 + 16. Let l be (-1 - -2)*(j - -30). Let t = 8 - 1. Calculate the greatest common divisor of t and l. 7 Suppose 4*n - 4*u - 32 = 0, -n - u + 23 = -5*u. Suppose n*s + s = 504. What is the greatest common divisor of s and 14? 14 Let v = 0 - -4. Let l be 4 + -6 + 1*v. What is the greatest common factor of l and 14? 2 Suppose -5*q + 68 = -7. What is the greatest common factor of q and 6? 3 Suppose 0 = 3*z - 4*y - 1, y - 33 = -19*z + 15*z. Let x = 16 + 33. What is the highest common factor of x and z? 7 Suppose 0*p = 3*o + 3*p - 852, p + 574 = 2*o. What is the greatest common factor of 26 and o? 26 Suppose -100 = -3*g + g - 4*v, 0 = -v - 3. Calculate the greatest common factor of g and 28. 28 Let f(r) = 29*r**2 + r + 1. Let i be f(-1). Let a = -16 + i. Let s = -13 + 78. What is the greatest common divisor of a and s? 13 Suppose -3*p = -f + 19, 4*f + 3*p - 55 = -9. Let u be (12/(-15))/(2/(-10)). Suppose u*a + a - 130 = 0. Calculate the greatest common divisor of a and f. 13 Let x(r) = -r**2 + 13*r + 4. Let h be x(13). Let u be (-2)/4 - (-90)/h. Calculate the greatest common factor of 66 and u. 22 Suppose 0 = -0*h - h + 5. Suppose j - 236 = -h*l, -l + 40 = 2*j - 0*j. Let a = 20 - 8. What is the greatest common divisor of a and l? 12 Let s be 1 - 70/((-4)/2). What is the greatest common factor of 4 and s? 4 Suppose 3*f + 16 = 64. Calculate the greatest common divisor of 48 and f. 16 Suppose 3*f - 284 + 20 = 0. Suppose 2*r = 17 - 1. Let v be (-210)/(-24) + (-6)/r. What is the greatest common divisor of f and v? 8 Suppose -2*b - 3*c = -81, -2*b - 3*b - c = -196. Let p be 6/b - (-542)/26. Calculate the greatest common divisor of p and 3. 3 Let v(u) = u**2 + 7*u + 7. Let x be v(-5). Let g = 19 - x. What is the highest common factor of 22 and g? 22 Let h = 5 - 1. Suppose 0 = -2*x - 5*l - 7, 6*l - h*l = x - 10. Calculate the greatest common divisor of 16 and x. 4 Let w(h) = -2*h**3 + 10*h**2 + 2*h - 5. Let l be w(-4). Suppose -k = -27 + 2. Calculate the greatest common divisor of k and l. 25 Let s = -4 + 6. Let i be (2 - -3*s) + -3. Suppose h - 13 = -q, -i*q + 34 = -2*q + 4*h. What is the highest common divisor of q and 9? 9 Let k be 24/((-1)/24*-3). What is the highest common divisor of k and 24? 24 Let b(i) = i**3 - 2*i**2 - 5*i + 2. Suppose 2*x + x - 12 = 0. Let y be b(x). Suppose 252 = -2*o + 4*o. Calculate the highest common factor of y and o. 14 Suppose 0 = -4*f - f - 35. Let b = 0 - f. Let z = -4 + b. What is the greatest common divisor of z and 33? 3 Suppose -4*b = -3*b - 902. Suppose -5*r - b = -2477. What is the greatest common divisor of r and 35? 35 Let r = 19 - 13. Let u be 130/18 + r/(-27). Let s be -1 - (2 - 1)*-29. What is the greatest common factor of u and s? 7 Suppose -3 = 2*m - 5. What is the greatest common factor of 3 and m? 1 Suppose 5*l + 76 + 184 = 0. Let f = 73 + l. What is the greatest common divisor of f and 21? 21 Let x(p) = -2 + 4 + 2*p**2 + 6 + 10*p + 0. Let m be x(-6). What is the greatest common factor of m and 180? 20 Suppose -4*j = 4 + 12. Let i be j + 1 - -6 - 1. Suppose 3 = i*v - 13. Calculate the highest common divisor of 12 and v. 4 Suppose 4*y - 3*l - 224 = 0, 3*y = -y + 4*l + 224. Suppose 0 = -i - 3*d + 5, 5*d = -i - 0*i + 3. What is the greatest common divisor of i and y? 8 Suppose -2*q + u + 18 + 164 = 0, 0 = -q + 3*u + 86. Calculate the greatest common factor of q and 23. 23 Suppose -4*l - 64 = -8*l. Suppose 2*s + f + 78 = 202, -3*f = 2*s - 116. What is the greatest common factor of s and l? 16 Let h(d) = -d**3 - 3*d**2 - 3*d - 3. Suppose -1 = 5*t + 9. Let f be h(t). Let s be 17 + f - -3 - 0. What is the greatest common divisor of s and 19? 19 Let k be 1000/28 + (-4)/(-14). What is the highest common factor of 18 and k? 18 Let q = 37 - 13. What is the greatest common factor of 48 and q? 24 Let t be -1 + 3 - (-13)/1. Suppose -5*j + 505 = -5*g, 3*j + j + 3*g = 432. What is the highest common divisor of t and j? 15 Suppose 4*d - 4*x = 192, 5*d - 258 = -x - 0*x. What is the greatest common divisor of 34 and d? 17 Let y = -8 + 12. What is the highest common factor of y and 20? 4 Let c(v) = -v**3 - 2*v**2 + 5*v + 6. Let i be 2 - (-1 - (0 + -8)). Let s be c(i). Let d be (4/(-5))/((-1)/10). What is the greatest common divisor of d and s? 8 Let d be 77/22 - 1/(-2). Let k = d + 24. What is the greatest common factor of 70 and k? 14 Suppose 5*y - 4 = 11. Suppose -4*n = r - 2*r + 132, -r - y*n + 139 = 0. What is the greatest common factor of 17 and r? 17 Suppose -3*x = -15 - 33. Calculate the highest common divisor of x and 4. 4 Suppose f = -2*f + 120. Suppose 2*r - 12 = -r. Suppose -4*g = -3*g - r*y - 52, 116 = 2*g - 2*y. What is the greatest common divisor of g and f? 20 Suppose 65 = s + 4*s + 5*p, -2*p = -5*s + 86. Calculate the greatest common factor of 16 and s. 16 Let d(o) = o**3 + 4*o**2 - 4*o + 5. Let k be d(-5). Suppose 5*i = -k*i + 200. Calculate the highest common factor of 8 and i. 8 Let a(h) = -13*h + 0 + 3*h + 0 - 2. Let w be a(-6). Calculate the highest common divisor of w and 29. 29 Let r be (78/65)/((-16)/10 - -2). Calculate the greatest common divisor of 6 and r. 3 Suppose 5*i = 2*i. Let x be 4 + -1 + 1 + i. Let k be 38/x + (-4)/8. What is the greatest common divisor of k and 1? 1 Let k = 17 - -46. Let d = 58 + k. Suppose 2*y - 5*l = 12, -4 = y - l - 13. What is the highest common factor of d and y? 11 Let d be 24/20*5 - 0. Suppose -b + 14 = -d. What is the greatest common divisor of 160 and b? 20 Suppose -z + 25 + 32 = 0. Let t = -5 - -8. Suppose -2*p + 95 = t*p. Calculate the highest common factor of p and z. 19 Let h(y) = 2*y**2 + y - 5. Let t be h(-5). Suppose 6 - t = -4*d + 2*u, -3*d = -u - 26. Calculate the highest common divisor of d and 45. 9 Let i = 26 - 27. Let n be 0 + i - (-6 + -5). Calculate the greatest common divisor of n and 30. 10 Let j(l) = l**2 - 2*l + 1. Let i be j(3). Suppose 5*k + 0*q + 2*q = 16, -4*q = -k + 12. Let c = 5 - k. What is the highest common factor of i and c? 1 Suppose -3*c - 3*f - 79 = 5, 4*c + 2*f = -112. Let t = 72 + c. Suppose -4*u - 4*d = -16, d - 12 = -3*u - 4*d. What is the highest common factor of u and t? 4 Let n(k) = k**2 + 7*k + 4. Let z be n(-6). Let c be (-15)/(-1) + z + 0. Calculate the highest common divisor of c and 26. 13 Suppose -2*b + 131 = -89. Let m(y) = -45*y - 1. Let t be m(-1). Calculate the highest common factor of b and t. 22 Let f(b) = 12*b + 4. Let l be f(8). Suppose 2*n + 12 - l = 0. Calculate the greatest common divisor of n and 4. 4 Suppose 3*k + 2*t - 7 = 0, k = 3*t + 20 - 3. Suppose 0 = -v + 3*w - 2, k*w = -2*v + 12 + 6. Calculate the greatest common factor of v and 20. 4 Let w(k) = 7*k**2 + k + 7. Let y be w(-2). Calculate the greatest common factor of 22 and y. 11 Suppose -4*t = -38 - 74. Let x(s) = s**3 - 15*s**2 - 15*s + 12. Let m be x(16). Let w be m*(4 - 28/8). What is the greatest common divisor of w and t? 14 Suppose -65*h + 60*h = -45. Let j be (6/7)/(4/28). Calculate the greatest common factor of j and h. 3 Let j be 24/(-10) - -2 - 4192/(-80). Calculate the highest common factor of j and 364. 52 Let l(s) be the second derivative of 1/12*s**4 + 0*s**3 +
{ "pile_set_name": "DM Mathematics" }
-1 + 3. Suppose -u - 5*d = u - 3, 2*d - 2 = -u. What is the second derivative of 0*h**2 - 2*h + 0*h**q + h**u wrt h? 12*h**2 Let k(c) = -c**3 + c - 1. Let b(s) = -2*s**4 + s**3 - s - 3. Let i(y) = b(y) + k(y). Differentiate i(g) wrt g. -8*g**3 Let i = 12 - 10. Find the third derivative of -15*h**5 - 5*h**4 + 5*h**4 + 11*h**5 + 3*h**i wrt h. -240*h**2 Let t(q) be the third derivative of -43*q**6/120 - q**5/30 - q**4/12 - 6*q**2 + 2. What is the third derivative of t(o) wrt o? -258 Let m(s) be the third derivative of 0*s**6 - 4/105*s**7 + 0 - 6*s**2 + 0*s + 0*s**5 - 5/24*s**4 + 0*s**3. What is the second derivative of m(c) wrt c? -96*c**2 Let f(a) be the third derivative of -3*a**6/40 + a**5/30 + 6*a**2. What is the third derivative of f(q) wrt q? -54 Let b(v) = -v + 11. Let d be b(8). What is the third derivative of -u**2 - 2*u**3 + 10*u**3 - 11*u**d wrt u? -18 Let q(p) be the first derivative of 7*p**3/3 + 3*p**2/2 - 3. What is the second derivative of q(y) wrt y? 14 Let v = 6 + -3. Suppose 6*r - v*r - 6 = 0. Find the first derivative of 0*g**2 + 3 + g**2 - r wrt g. 2*g What is the first derivative of -46*d**3 + 3*d + 40*d**3 - 3*d - 3 wrt d? -18*d**2 Suppose 4*r + 1 = 9. Let i = 1 + r. What is the first derivative of 2*z + i - 4 + 0*z wrt z? 2 Let a(h) = -88*h**2 + 52. Let w(u) = 22*u**2 - 13. Let p(c) = 6*a(c) + 22*w(c). What is the first derivative of p(n) wrt n? -88*n Let t(k) = k**2 - k - 2. Let n be t(-2). Let r = n + -2. Find the third derivative of i**4 - i**2 - 3*i**r + 3*i**2 wrt i. 24*i Suppose -4*t = -9*t + 20. What is the third derivative of -2*l**4 + l**2 - l**4 + 4*l**t + 3*l**2 wrt l? 24*l Let a(g) be the first derivative of -8*g**3 - 23*g - 16. Differentiate a(q) with respect to q. -48*q Let s(x) be the third derivative of 1/24*x**4 + 0 - 2*x**2 + 0*x**3 + 0*x - 1/60*x**5. Find the second derivative of s(p) wrt p. -2 What is the first derivative of -12 + 1 + 16*x**2 - 4*x**2 wrt x? 24*x Let u(o) = o - 3 + 0*o - 2 + 4. Let r(s) = -3*s**3 - 4*s + 5. Let h(p) = -r(p) - 4*u(p). Find the first derivative of h(a) wrt a. 9*a**2 Let q(g) be the third derivative of -2*g**5/5 + 5*g**4/8 - 22*g**2. Find the second derivative of q(w) wrt w. -48 Let i(m) be the second derivative of 0*m**6 + 0*m**4 + 2*m - 2/21*m**7 + 1/6*m**3 + 0 + 0*m**2 + 0*m**5. What is the second derivative of i(r) wrt r? -80*r**3 Let d(l) be the third derivative of l**5/60 + l**4/12 - l**3/6 + l**2. Let a be d(1). What is the second derivative of 2 - 2*p + a - 4 - 2*p**3 wrt p? -12*p Let l(x) be the third derivative of 17*x**7/105 - 3*x**3 - 28*x**2. What is the derivative of l(u) wrt u? 136*u**3 Let w be 4/(-12)*(-10 + 1). Let x(y) be the first derivative of -1/5*y**5 + 0*y**2 + 1 + 0*y + 0*y**4 - 1/3*y**w. Find the third derivative of x(q) wrt q. -24*q Let s(a) = 9*a**5 + a**3 + a**2 + 6*a. Let j(y) = -y**5 - y**3 - y**2 - y. Let p(c) = -j(c) - s(c). Find the second derivative of p(n) wrt n. -160*n**3 Let v be (-5)/(20/6)*-2. Suppose -4 = -v*t - 37. Let d(w) = -20*w - 6. Let y(u) = -7*u - 2. Let i(x) = t*y(x) + 4*d(x). Differentiate i(p) wrt p. -3 Find the first derivative of 12 + 20*v**4 - 8*v**4 - 18*v**4 wrt v. -24*v**3 Suppose 3*n - 2*n + 1 = -i, -i + 7 = -n. What is the third derivative of -i*z**2 + 35*z - z**3 - 35*z wrt z? -6 Let w(a) = -7*a**4 - 5*a**2 - 9*a. Let b(t) = 4*t**4 + 2*t**2 + 5*t. Let p(h) = -5*b(h) - 2*w(h). Find the second derivative of p(l) wrt l. -72*l**2 Let t be (-20)/5 + 35 + -2. Find the first derivative of -t + 3*f**3 + 17 + 13 wrt f. 9*f**2 Let x(y) be the third derivative of -11*y**8/336 + 2*y**4/3 + 6*y**2. What is the second derivative of x(m) wrt m? -220*m**3 Let b = 23 + -20. What is the second derivative of 3*z - 9*z**3 + 3*z + 5*z**b wrt z? -24*z Let s(c) = -8*c**5 + 7*c**2 - 2. Let r(w) = 15*w**5 - 13*w**2 + 5. Let v(l) = 2*r(l) + 5*s(l). Find the third derivative of v(a) wrt a. -600*a**2 Suppose 5*c + y + 4*y = 0, -2*c + y + 9 = 0. Let u be (4/c)/((-1)/(-3)). Find the third derivative of -u*r**2 - 2*r**2 + 4*r**2 - r**3 wrt r. -6 Let x(v) be the third derivative of -v**9/15120 + v**7/2520 - v**4/8 + v**2. Let n(r) be the second derivative of x(r). Find the third derivative of n(k) wrt k. -24*k Let z(x) be the second derivative of -x**7/70 + x**3/6 + 3*x**2/2 - 4*x. Let a(w) be the first derivative of z(w). Differentiate a(c) wrt c. -12*c**3 What is the third derivative of -48*t**5 + 23*t**2 - 5*t**5 + 3*t**5 - t**5 wrt t? -3060*t**2 What is the second derivative of -7 - 2*x + 3*x**5 + 13 - 49 + 5*x**4 wrt x? 60*x**3 + 60*x**2 Find the second derivative of -81 + 81 - 14*i**3 + 30*i wrt i. -84*i Let y(a) be the first derivative of a**3/3 - 23*a**2/2 - 20. Find the second derivative of y(z) wrt z. 2 Let h(o) be the second derivative of -17*o**7/42 - 23*o**3/6 + 3*o. Find the second derivative of h(f) wrt f. -340*f**3 Let v(l) be the second derivative of -4*l**6/15 + 3*l**2/2 - 5*l. Differentiate v(m) wrt m. -32*m**3 Let l be 1 + (-5 - (-7 + 3)). Let r(b) be the first derivative of 3*b + 0*b**3 + 0*b**4 + l*b**2 + 1 - 1/5*b**5. Differentiate r(n) wrt n. -4*n**3 Let z be 2*((-10)/4 - -2). Let h be 2 + z/(-2)*2. What is the second derivative of l**2 + h - 2*l - 3 wrt l? 2 Let i(l) = -19*l**2 + 6. Let a(z) = -z**3 - 39*z**2 + 13. Let c(m) = -6*a(m) + 13*i(m). What is the third derivative of c(s) wrt s? 36 Let t = -4 - -6. Let u(w) = w - 2. Let p be u(t). What is the first derivative of 2 + 0*n**4 + n**4 + p*n**4 wrt n? 4*n**3 Let g(v) be the third derivative of -23*v**5/30 - v**4/24 + 2*v**3 - 52*v**2. What is the second derivative of g(d) wrt d? -92 Find the third derivative of 11*o**2 + 50*o**5 - 2*o**2 - 44*o**5 wrt o. 360*o**2 Let x(b) be the first derivative of -1 + 2*b**5 - 5*b + 6 - 3*b**5 - b. Find the first derivative of x(v) wrt v. -20*v**3 Let m(f) = 19*f - 33. Let n(t) = -t + 1. Let r(c) = -m(c) - 6*n(c). Find the first derivative of r(z) wrt z. -13 Let q(s) be the first derivative of s**6/2 - 11*s**2/2 + 10. Find the second derivative of q(v) wrt v. 60*v**3 Let a(q) be the first derivative of 11*q**3/3 - 5*q + 3. What is the derivative of a(b) wrt b? 22*b Find the first derivative of -31 + 5 + 9 - 17*r**3 wrt r. -51*r**2 Suppose 3*v = 4*h - 6*h + 9, -3*v - 4*h = -3. Differentiate 8*m**4 - 9*m**4 + v*m**4 + 8 wrt m. 16*m**3 Let g(f) = -f - 2. Let b be g(-2). Suppose b*k - 3*k + 6 = 0. What is the third derivative of 0*v**2 - 2*v**3 - 5*v**2 - 2*v**3 + k*v**2 wrt v? -24 Let l = 10 + -4. Differentiate k + l + 5*k - 4 with respect to k. 6 Suppose i = 3*i - p - 12, p + 27 = 5*i. Suppose 0 = c - i*c + 20. Find the third derivative of 0*w**2 - w**c - w**2 + 0*w**5 wrt w. -60*w**2 Let h(o) = -2*o**3 - 4*o**2 + 12. Let s(w) = -3*w**3 - 5*w**2 + 13. Let u(y) = 5*h(y) - 4*s(y). Differentiate u(p) wrt p. 6*p**2 Let s(p) = 4*p**2 + 1. Suppose -2*a = -3*a - 3*r + 11, -5*a + 3*r = 17. Let c be s(a). What is the third derivative of 0*v**5 - 2*v**2 + 4*v**2 - 2*v**c wrt v? -120*v**2 Let f be (-7)/(-4) + 7/28. Find the second derivative of -5*h**2 + 3*h**2 + f*h + 3*h**2 - 5*h**2 wrt h. -8 Find the third derivative of 6*n**6 - 10*n**6 - 12*n**2 + 10*n**6 wrt n. 720*n**3 Let g(s) be the third derivative of 0 + 0*s**3 - 1/6*s**4 + 0*s + 0*s**5 + 5*s**2 - 1/120*s**6. What is the second derivative of g(p) wrt p? -6*p Let f(i) = 2*i**3 - i**2 + 1. Let b be f(1). Find the first derivative of 5 + 2*s**2 - 2 + s**b wrt s. 6*s Let x(i) = 15*i**2 + 7*i + 8. Let q(a) = -10*a**2 - 5*a - 5. Let m(f) = 7*q(f) + 5*x(f). Find the first derivative of m(o) wrt o. 10*o Suppose -3*j = -7*j + 16. Find the third derivative of -v**j - 4*v**4 - 1 - v**2 + 1 wrt v. -120*v Let f(l) = l**6 - l**5 + l - 1. Let a(v) = -16*v**6 - 6*v**5 - 51*v**2 + 6*v - 6. Let c(b) = a(b) - 6*f(b). Find the third derivative of c(d) wrt d. -2640*d**3 Suppose -3*r = -2*k + 2, -k - r = -1 - 0. Let c be 3 - (3 - (0 + 2)). What is the first derivative of 4 - 2 - k + c*v**3 wrt v? 6*v**2 Let j(p) be the third derivative of -p**5/5 - 11*p**4/8 - 27*p**2. What is the second derivative of j(t) wrt t? -24 Let g be (21/(-6))/7*-6. What is the third derivative of -4*b**g + 4*b**3 - 2*b**3 + b**2 + 11*b**3 wrt b? 54 Let d(h) be the second derivative of -2*h**6/3 - 2*h**3/3 + 3*h**2 - 11*h. Fi
{ "pile_set_name": "DM Mathematics" }
e 3*d - 40 = 2*h, -3*h = d - 90 + 84. Solve -8 = 4*v - d*v for v. 1 Let z = 19971 - 19929. Solve z*x - 57 = 61*x for x. -3 Let f(k) = -21*k + 186. Let z be f(8). Solve 468*r - 477*r + z = 0 for r. 2 Let q(g) = 3*g + 111. Let s be q(-13). Let u be (12/(-3))/((-16)/s). Solve 0 = u*t - 21*t + 15 for t. 5 Suppose -3 = 4*n + 1. Let y be (-2 + 5 - (-3)/n) + 4. Solve y*v = -0*v - 12 for v. -3 Let s = 43 + -182. Let n = -210 - s. Let t = n + 75. Solve -16 = -4*a + t for a. 5 Let x be (-5396)/(-18) + 10/45. Let a = -300 + x. Solve a = l - 0*l + 5 for l. -5 Let c = 2242 + -2216. Solve 42 = -c*i - 10 for i. -2 Let p(b) = -2*b**2 - 51*b + 19. Let l be p(-28). Let z = l + 129. Solve 5*o + z = -17 for o. -5 Let v = 6849 - 6849. Solve 152*o - 149*o + 18 = v for o. -6 Let l be (-7)/(-4)*-36*12/(-108). Solve -l*x + 19 = -16 for x. 5 Let b(i) = -2941*i - 35290. Let y be b(-12). Let c(w) be the second derivative of w**3/6 + 4*w**2 - w. Let u be c(-5). Solve -h + u = y for h. 1 Suppose -6*v = -v - 10. Let u be ((-15)/(-9))/(v/6). Let h = 209 + -207. Solve 1 = h*i + u for i. -2 Suppose 4*a - 445 + 437 = -5*c, -5*a = -4*c - 10. Let n = 0 - 0. Solve a + n = x for x. 2 Suppose -2*d = 2*u + 2, -d + 3*u = -2*d - 9. Let p(h) = h**2 + 4*h - 9. Let l be (-1*6/7)/((-10)/(-70)). Let m be p(l). Solve d*c = 2*c + m for c. 3 Suppose 14*j - 13 - 43 = 0. Let u = 327 + -325. Solve 0*b + u*b = -j for b. -2 Let b(m) = 23*m + 28. Suppose 4*p + 13*u - 17*u + 12 = 0, -2*u = p - 3. Let o be b(p). Suppose 4*y - 4 = 4*n, -2*y - 3 = -n + 4*n. Solve -o*z + y*z = -10 for z. 2 Suppose -44*j - 4*d + 271 = -33*j, -5*d = -2*j + 55. Solve -30*b = j*b + 385 for b. -7 Let z be ((-320)/(-65) + -4)*273/42. Solve z*a - 2*a = -12 for a. -3 Let d(t) = 6*t**2 - 4*t - 6. Let s be d(5). Suppose -h = -5*h + s. Let l = 33 - h. Solve 7*q = l*q for q. 0 Suppose 207 = -x - 4*v, 0 = -5*v + 1 - 21. Let f = 204 + x. Solve -2 = 11*y - f*y for y. 1 Let v(k) be the second derivative of -1/20*k**5 - 4*k**3 + 5/2*k**2 + 0 + 5/6*k**4 + 24*k. Let z be v(6). Solve -z*w - 8 = 2 for w. -2 Suppose 29*x + 112 = 36*x. Let w(b) = -2*b**2 + 32*b + 9. Let n be w(x). Solve -d + 4*d - n = 0 for d. 3 Let j(u) = -u**3 - 4*u**2 + 41*u - 146. Let o be j(-11). Solve 0 = 43*i + o + 8 for i. -6 Suppose 0 = -4*g - 2*v + 70, 2*g - 44 = -5*v + 7*v. Let p(a) = a**3 - 20*a**2 + 25*a - 94. Let j be p(g). Solve -4*x = -9*x - j for x. -4 Let c be (-5)/(85/2) + (-312)/(-51). Let s be 13/(33/39 + c/39). Solve 4*v - s = 3 for v. 4 Let y be ((-330)/(-255))/11 + 2/(-17). Solve 16*p + 0*p + 64 = y for p. -4 Let j be ((-7)/2)/((-1)/30) - -3. Suppose -11*h + 2*h = j. Let c be (-4*h/32)/(6/80). Solve 0*k = 4*k - c for k. 5 Let c be (-4 - -31) + 7 - -7. Let w(t) = t**3 + 36*t**2 + 35*t + 36. Let j be w(-35). Solve -k = -j + c for k. -5 Let g(x) = x**2 - 6*x - 41. Let w(d) = -d**3 + 5*d**2 - 6. Let z be w(4). Let t be g(z). Let h be (-12 + 7)/(t/2). Solve -h - 6 = -4*k for k. 4 Let o(z) = 6*z**2 + 6*z - 1. Let p be o(-3). Let j = 40 - p. Suppose x = j*b - 22, -7 - 21 = -x - 5*b. Solve x*m = m for m. 0 Let s = 18 - 13. Let o = 8572 - 8569. Solve 2*t - s = -o for t. 1 Let n be ((-9)/42*8)/(8/(-112)). Solve 15*t = -n*t for t. 0 Suppose 5*f + 2*j = 10*f - 11, 2*f - 2*j = 2. Solve -f*g - 47 = -62 for g. 5 Let s(j) = 252*j - 2757. Let b be s(11). Solve -370*v + 367*v + b = 0 for v. 5 Let p be ((-8)/(-12) - 0)/(1/102). Let b be 6 - (-17)/(p/(-24)). Let f(y) = -y**2 - 6*y - 6. Let o be f(-4). Solve -o*n - 2 = -b for n. -1 Let x be 5 + (15/5 - 5). Suppose 0 = -2*s - 2*g + 6, -2*g + g = -x. Solve s = -o - 13 + 8 for o. -5 Let s(f) = -32*f - 36 + 4*f**2 + 33*f - 3*f**2. Let y be s(-7). Let p(n) = n**2 - 6*n + 3. Let w be p(y). Solve g - 2 = w*g for g. -1 Suppose 2 = -7*c + 8*c. Let i be 26 + 3/(3/(-4)). Suppose 0 = 3*p - 2*r - 14, 3*r = 4*p + 2*r - i. Solve 0 = 4*l - c*l - p for l. 3 Let m(t) = -t**3 + 5*t**2 + 8. Let f be m(5). Let x be 0/(2/f - 33/(-44)). Solve x = a - 5*a + 16 for a. 4 Let d = 38 + -35. Suppose d*f + 21 = 10*f. Let p be (3 - (1 + -2)) + 3 + -5. Solve -j - p*j = f for j. -1 Suppose 3*y = 4*h + 142, -17*h + 22*h - 22 = -y. Solve 0 = y*u + 31*u - 219 for u. 3 Suppose -3*c + 0*c - 12 = 0. Let j = -4 - c. Let k be -15*18/(-189) + 8/14. Solve -k*p + j + 4 = 0 for p. 2 Let x(r) = -r**2 + 19*r - 34. Let d be x(16). Suppose 5*l + h - 33 = 0, -10*l - 27 = -d*l - h. Solve 13*m = 16*m + l for m. -2 Suppose 4*a - 2*a = 0, -4*c - 4*a + 8 = 0. Suppose -3*y - 2*y = -c*f + 19, 2*y = f - 8. Suppose -2*x + 8 = -12. Solve -3*d = -x - f for d. 4 Let a = 2443 - 2369. Solve -o - 76 + a = 0 for o. -2 Let d(y) = 2*y**2 - 49*y + 230. Let m be d(19). Solve m*c - 25 = -4 for c. 1 Let p(d) = -10*d - 7. Let g be p(-1). Let t be 3 + g + 2 + 0. Solve 0 = -0*v + 4*v + t for v. -2 Let m be ((-2)/2)/(-15 + 6396/429). Solve 2309 = -m*y + 2386 for y. 7 Let x = -35868 - -35963. Solve 65*y - 30 + x = 0 for y. -1 Suppose 14*q + 22 - 344 = 0. Solve -8*i + q*i - 60 = 0 for i. 4 Let f be (1 + 2)*(-10 + 11). Let z be (f + 3/2)*-2. Let n be (-3 + z/(-6))/((-18)/60). Solve 0 = -6*b + n*b for b. 0 Let y(q) = -q**2 + 16*q + 1061. Let t be y(37). Solve 93*c - t = 553 for c. 9 Let j(s) = s**3 - 7*s**2 - 44*s - 16. Let h be j(13). Let z = h - 408. Solve -z*f + 10*f - 24 = 0 for f. -3 Let o = -117 - -125. Let i be (2/3)/(o/540*5). Suppose 5*b + 2 - 27 = -5*n, -2*b + 4*n = 20. Solve b = -i*u + 4*u + 5 for u. 1 Let a = -665 - -682. Solve 4*r - a*r = 3*r for r. 0 Let u(r) = 3*r + 13. Let x(a) = a + 4. Let m(p) = 2*u(p) - 7*x(p). Let k be m(-8). Suppose 3*j - 3*j = k*j. Solve -2*c + 7 - 3 = j for c. 2 Let a(b) = b - 14. Let z be a(12). Let k(o) = 9 - 2*o - 2*o + 6*o + 0*o. Let q be k(z). Solve 3*c - 2*c + q = 0 for c. -5 Let j(l) = 2*l**3 + 19*l**2 + 12*l + 27. Let c be j(-9). Let q = 149 - 93. Let u = q + -53. Solve v - u*v - 10 = c for v. -5 Let h(b) = b**3 + 39*b**2 + 79*b + 226. Let f be h(-37). Solve 0 = 6*v - 59 + f for v. 3 Let h be (-230)/(-69)*(2 + -2 - -3). Suppose -h*u = 6*u - 48. Solve u*l = -4*l for l. 0 Let p = -52500 - -52506. Let i = -15 + 25. Solve p*y + i = y for y. -2 Let m = 70 - 67. Suppose 14 - 2 = m*o. Solve o*n = 7*n + 15 for n. -5 Suppose 16 = -3*d - 5*i, 0*i + 3 = 3*i. Let r(b) = -b**2 - 6*b + 7. Let c be r(d). Suppose y + 4*y = c. Solve y = -s - 0*s - 3 for s. -3 Let q = -35 - -92. Let p = q - 54. Suppose -2*l = -m - 11, -2*l + 8 = -p*m - 13. Solve l*u + 6 = 12 for u. 2 Suppose -k = -4*o + 28, -o - 2*k + 32 = 2*o. Let i(u) = 3*u + 9. Let x(p) = -5*p - 13. Let r(a) = o*i(a) + 5*x(a). Let f be r(5). Solve -f*h = 2*h for h. 0 Let w = -56 + 56. Let v be (1 + 0)*w/(-1). Suppose -8*b + 5*b + 15 = v. Solve b*y + 2 - 7 = 0 for y. 1 Let g(o) = -15 - 3*o**2 + 0*o**2 + 2*o**2 + 14*o. Suppose -55*j + 192 = -39*j. Let r be g(j). Solve -4*d - 1 = -r for d. 2 Let g be 684/(-7) + 6/(-21). Let d = -68 - g. Suppose -12*k + 42 + d = 0. Solve p + k = -2*p for p. -2 Suppose -7*m = -546 - 224. Suppose -106 = h - m. Solve -h*u + 2*u - 8 = 0 for u. -4 Let u(t) = -t**2 - 2*t + 5. Let k be u(3). Let y be -9*(4/6)/(k/5). Suppose m - 3*n + 1 = 0, -y*m + 5*n - 2 = -7. Solve -j + 0*j = -m for j. 5 Suppose -l - 154 = 4*r, 0*r + 288 = -2*l - 4*r. Let j = l - -134. Solve -7*x - x = j for x. 0 Let m = -186 - -212. Suppose 0 = -2*f - m + 76. Solve 4*j + j - f = 0 for j. 5 Suppose -5*x = 230 + 155. Let o be (-4)/(-14) + -8 + (-594)/x. Solve 4*p + 2*p - 30 = o for p. 5 Suppose 708 = 2*w - 4*y + 2*y, -354 = -w + 5*y. Solve w = 75*b - 16*b for b. 6 Let c(n) = -38*n - 217. Let k be c(-18). Let r = -459 + k. Solve 4*a = r - 24 for a. -4 Let m be (7/5 - 1)/(48/(-4320)). Let u = 37 + m. Solve -u = y + 4 for y. -5 Let r(w) = 3*w**2 + 3*w - 7. Let j(y) = 2*y**2 + 3*y - 10. Let s(u) = -3*j(u) + 4*r(u). Let a be s(-1). Solve 0 = -3*p + a*p + 10 for p. -5 Let z = -6 - 338. Let j = 348 + z. Solve j*r - 2*r = 6 for r. 3 Suppose 0 = 31*b - 7*b + 2*b. Suppose 20*c - 64*c = b. Solve c*o = -5*o - 5 for o. -1 Suppose 0 = 104*c - 134788 + 34116. Solve 0 = 9*y + 959 - c for y. 1 Let z(n) = -7*n**2 + 26. Let f(j) = 20*j**2 + j - 77. Let d(r) = 6*f(r) + 17*z(r). Let q be d(-9). Let b be q/((-28)/(-24)) - 1. Solve -14 = -b*l - 4 for l. 2 Suppose 0 = 3*l - 7 - 11. Let g be ((-1)/(-2)*6)/(l/16). Let a(p) = 7*p**2 + p - 3. Let j be
{ "pile_set_name": "DM Mathematics" }
2 What is the third derivative of -18693*d**3 + 23444*d**2 wrt d? -112158 Find the second derivative of 7097*a**3*i*s - 2*a**3*s**2 + 50*a*i*s**2 - 48*a*s**2 + i wrt a. 42582*a*i*s - 12*a*s**2 What is the derivative of 6*j**4*u - 2*j*k*u**2 + 2*j*u**3 - 3*k*u**3 + 4*u**3 + 13*u**2 wrt j? 24*j**3*u - 2*k*u**2 + 2*u**3 Find the third derivative of -17*j*m**4*w - 25*j*m**4 + 8*j*m**2*w + j*m**2 + 2*j + 3*m**4*w - 2*m**2*w + 6 wrt m. -408*j*m*w - 600*j*m + 72*m*w Differentiate -1578*l**2*r - 773*r wrt l. -3156*l*r What is the derivative of -2028*s**4 - 12536 wrt s? -8112*s**3 What is the first derivative of -7*h**3 - 43*h - 1682? -21*h**2 - 43 Find the second derivative of 17*s**4 + 2*s. 204*s**2 What is the second derivative of j**3*o - 18*j**2*o - j*o + 16 wrt j? 6*j*o - 36*o Find the first derivative of -25*g*t**4 - 3*g*t**2 + 14*g - t**2 - 18 wrt t. -100*g*t**3 - 6*g*t - 2*t Find the second derivative of 2307*n**2*t**3 - 19*n**2 + 54*n*t wrt t. 13842*n**2*t Differentiate -16*a**3*v*y + a**3*v + 10*a**3*y - 4*a**3 with respect to v. -16*a**3*y + a**3 Find the third derivative of 159*g**5 + g**2 - 4*g. 9540*g**2 Find the second derivative of 2*i**3 - 141*i**2 + 3*i + 2. 12*i - 282 Find the third derivative of -1068*m**3*s**3 - m**3*s**2 - m*s**3 + 129*m*s**2 wrt s. -6408*m**3 - 6*m What is the third derivative of 310*j**3 + 337*j**2? 1860 What is the second derivative of -2*w**4 - 4*w**3 - 4170*w**2 + 9378*w? -24*w**2 - 24*w - 8340 What is the derivative of -491*z**3 - z - 3076? -1473*z**2 - 1 Find the second derivative of -47*i**4 - 4*i**3 + 7*i + 2. -564*i**2 - 24*i What is the third derivative of 9*p**2*u**3 - 3853*p**2*u**2 + 2*p*u**3 + 55*u**3 wrt u? 54*p**2 + 12*p + 330 What is the third derivative of -209*b**4*o**2 - b**2 + 90*b*o**2 - 1 wrt b? -5016*b*o**2 Differentiate -2*g*k**2*s - g*k*s + g + 146*k**2*s - 2*k*s - 289*s wrt k. -4*g*k*s - g*s + 292*k*s - 2*s Find the third derivative of -944*t**5 + t**2 + 107 wrt t. -56640*t**2 Find the third derivative of -48*f**3*s**3 - 4*f**3*s*v - 3*f*s**2*v**2 + f*s*v**3 - 4*s**3*v**3 + s**2 wrt s. -288*f**3 - 24*v**3 What is the derivative of 669*h - 799 wrt h? 669 Find the third derivative of -2821*c**2*j**2*u**3 + 2*c**2*u - 2*c*j**2 + 3*c*j*u**2 + 2*j**3*u**3 - 83*j**3*u**2 wrt u. -16926*c**2*j**2 + 12*j**3 Find the first derivative of 2190*q**4 + 12664 wrt q. 8760*q**3 What is the second derivative of -a**2*b*p + 7*a**2*b + 27*a**2*p + a*p - 601*b*p wrt a? -2*b*p + 14*b + 54*p What is the second derivative of 360*f**2*u*x - 2*f**2*u + 7*f*u*x - 2*f*u + 72*u wrt f? 720*u*x - 4*u What is the second derivative of 5*j**3*k**2 + 167*j**3*k + 2*j**2*k**3 - 23*j*k**2 - 75*k**3 wrt j? 30*j*k**2 + 1002*j*k + 4*k**3 What is the third derivative of 10*f**5*h + 14*f**3*h + 10*f**2*h - 6*f**2 + f*h wrt f? 600*f**2*h + 84*h Differentiate 8800*b**3*d + 14177*b**3 with respect to d. 8800*b**3 What is the first derivative of 448*j - 207 wrt j? 448 What is the derivative of -39*i - 59 wrt i? -39 What is the derivative of 54*d*i**2*j*t - 4*d*i**2 - 2*d*t + 3*i**2*j*t - i**2*j - i*j*t + 59*j*t wrt d? 54*i**2*j*t - 4*i**2 - 2*t Find the third derivative of -82*n**3 - 4*n**2 - 11*n wrt n. -492 Find the third derivative of 151*g*x*z**3 + g*x + x*z**3 + 10*x*z**2 + 2*x*z + 2*z wrt z. 906*g*x + 6*x What is the third derivative of s**3*u**3*y**2 + s**3*u**3 + s**3*u**2 - s**3 - s**2 - 5*s*u**3 - u**2*y**2 wrt u? 6*s**3*y**2 + 6*s**3 - 30*s What is the third derivative of 425*f**3 + 2*f**2 - 1561? 2550 Find the first derivative of -3*f**4 - 668*f + 3856 wrt f. -12*f**3 - 668 Find the second derivative of -2*a*w**2 - a*w + 13*a - 28*w**4 - 4*w wrt w. -4*a - 336*w**2 What is the third derivative of 140*c**6 - c**2 + 89*c? 16800*c**3 Find the second derivative of -13*u**5 - 2*u**4 + 3*u**2*z - 4*u + 155*z wrt u. -260*u**3 - 24*u**2 + 6*z Find the first derivative of -57*i**2*u**2 + i*u**3 - 5*u**3 - 11*u wrt i. -114*i*u**2 + u**3 Find the third derivative of 56*g*o**6 + 2*g*o**3 - 27*g*o**2 + 2*g - o**4 + 2*o**2 wrt o. 6720*g*o**3 + 12*g - 24*o What is the second derivative of -608*b**2*r**4 - 5*b**2*r**2 - b**2*r + 48*b**2 + b*r + 2*r wrt r? -7296*b**2*r**2 - 10*b**2 Find the third derivative of -28*h**4*j**2 + 4*h**4 - 21*h**2 - j**2 wrt h. -672*h*j**2 + 96*h Find the second derivative of 20*l**3*r**2 + 4*l**3*r*s + 3*l**2*r**2*s - 2*r**2*s - 4*r wrt r. 40*l**3 + 6*l**2*s - 4*s What is the second derivative of 6084*p**3 + 164*p - 30 wrt p? 36504*p Find the second derivative of 2*f**3*j**3 + 23*f**3*j*s + 9*f**3*s - 4*f**3 - 7*f**2*j**3 - j**2*s - 2*j wrt j. 12*f**3*j - 42*f**2*j - 2*s Find the third derivative of 7*c*u**6 - 18*c*u**4 + c*u**3 - c*u**2 + 9*c*u - 15*u**2 wrt u. 840*c*u**3 - 432*c*u + 6*c Differentiate -4*h**2*i**2*w + h**2*i*w + 206*h**2 - 27*h*i**2 + 2*h*w wrt i. -8*h**2*i*w + h**2*w - 54*h*i Find the third derivative of -8*g**2*v**3*w**3 - g**2*v**3*w**2 - 3*g**2*v**3*w - 6*g**2*w**2 - 563*g*v**3*w**4 - 6*g*v**3*w**2 + 5*g*v**2*w wrt w. -48*g**2*v**3 - 13512*g*v**3*w What is the first derivative of -147*v**3 + 75? -441*v**2 Find the second derivative of -b**2*o**2 + 2*b**2*o - 2391*b**2 + 2*b*o**2 + 8*o**2 + 277 wrt b. -2*o**2 + 4*o - 4782 What is the second derivative of -2*j**3*m**2 - 3350*j**2*m*s + 25*j*m**2*s + 2*j*s - m**2 - 28 wrt j? -12*j*m**2 - 6700*m*s Differentiate -69*d**3 - 189 with respect to d. -207*d**2 Find the third derivative of 146*l**6 - 218*l**2 + 1. 17520*l**3 What is the second derivative of -114*x**3 - 18*x**2 - 8243*x wrt x? -684*x - 36 What is the third derivative of -12694*k**6 - 1225*k**2? -1523280*k**3 Find the first derivative of 128*i*n**2 + 151*n**2 wrt i. 128*n**2 What is the third derivative of -5007*g**3 - 12*g**2 - 347 wrt g? -30042 What is the third derivative of 2*i*x**4 + 3*i*x**2 - 10*i*x + 476*x**4 - 5*x**2 wrt x? 48*i*x + 11424*x Find the third derivative of -3407*u**4 + 4100*u**2. -81768*u What is the third derivative of 4*s*x**4 - 2*s*x**2 + 3*s*x + 42*s - 3*x**5 - 110*x**4 wrt x? 96*s*x - 180*x**2 - 2640*x What is the third derivative of 16*t**3 + 248*t**2? 96 What is the second derivative of l**4 - 151*l**3 - 1402*l? 12*l**2 - 906*l What is the third derivative of p**5*v - 24*p**3*v + 18*p**3 + 2478*p**2*v wrt p? 60*p**2*v - 144*v + 108 Find the third derivative of -3019*h**3*j**2 + h**2*j**2 + 34*h**2*j - 12*h**2 wrt h. -18114*j**2 Find the first derivative of -12*a**4 + 2*a**3 - 23*a*j + 3485*j wrt a. -48*a**3 + 6*a**2 - 23*j What is the second derivative of -w**4 + 6*w**3 - 58*w**2 - 147*w + 4? -12*w**2 + 36*w - 116 Differentiate -182*k**3*q**3 - k**3*q - k**3 - 316*k**2 with respect to q. -546*k**3*q**2 - k**3 Find the third derivative of -6*l**3*p**3 + 8*l**3 + 81*l**2*p**3 + 5*l**2*p**2 wrt l. -36*p**3 + 48 What is the second derivative of -x**3 + 38*x**2 + 59*x wrt x? -6*x + 76 Find the first derivative of -1138*p**3 - 905. -3414*p**2 What is the third derivative of 388*t**6 + t**2 + 174? 46560*t**3 Find the third derivative of 81*c**6 - 45*c**5 + 1518*c**2 - 2*c - 2. 9720*c**3 - 2700*c**2 What is the first derivative of 36*f**2 - 165? 72*f What is the first derivative of p*t + p - 27*t**2 - 18 wrt t? p - 54*t What is the third derivative of 523*b**3 - 132*b**2 - 2 wrt b? 3138 Find the first derivative of -2*r**2 + 440*r + 15618 wrt r. -4*r + 440 Find the second derivative of -1041*d**2*l**2 - d**2*l + l**5 + 77*l wrt l. -2082*d**2 + 20*l**3 What is the derivative of 10570*a**2 - 2835 wrt a? 21140*a Find the second derivative of -d*k**3*y + 34*d*k**2 - 10*d*k*y**2 - d*y - k**3*y**2 + 2*k*y wrt k. -6*d*k*y + 68*d - 6*k*y**2 Differentiate -5*i**3*l**2 - 114*i**2*l**2 - 6*l**2 + 3*l - 24 with respect to i. -15*i**2*l**2 - 228*i*l**2 What is the first derivative of -2*w**2 + 19*w*z - 2*w + 198*z wrt w? -4*w + 19*z - 2 Find the third derivative of 39*d**3*z**3 - 2*d**3*z**2 - 9*d**2*z**2 + 2*d**2*z wrt z. 234*d**3 Find the second derivative of -2*d**4 + 11*d**3 + 219*d. -24*d**2 + 66*d Find the first derivative of 402*f**4 + 2*f**2 - 2034. 1608*f**3 + 4*f Find the first derivative of 4054*w**4 + 4538 wrt w. 16216*w**3 Differentiate -3*g**4 + 5*g**3 + 121*g - 1433 with respect to g. -12*g**3 + 15*g**2 + 121 What is the first derivative of -669*v**2 - 1
{ "pile_set_name": "DM Mathematics" }
- 24. Find the third derivative of s(t) wrt t. -5472 Let v(f) = -3*f - 25. Suppose 5*d - 10*d - 45 = 0. Let y be v(d). What is the second derivative of -y*k**3 + 2*k**3 + 29*k - 7*k**4 - k**4 wrt k? -96*k**2 Let p(x) be the second derivative of -983*x**4/6 - 2509*x**2 - 1760*x. What is the derivative of p(n) wrt n? -3932*n Let m(q) be the first derivative of 260*q**3/3 + 766*q + 514. Differentiate m(j) with respect to j. 520*j Let i(s) be the third derivative of s**7/105 + 71*s**6/12 + 176*s**5/3 - 72*s**2 - 7. What is the third derivative of i(j) wrt j? 48*j + 4260 Let m(i) be the first derivative of -2596*i**3/3 + 1253*i**2/2 + 2*i + 1909. Find the second derivative of m(l) wrt l. -5192 Let c = 81 - 70. Suppose c*g - 6 = 16. Find the second derivative of 3*l**2 + 3*l + 24*l - 4*l**g + 2*l**2 wrt l. 2 Let b(l) be the first derivative of 0*l + 0*l**5 + 0*l**3 + 139*l**2 + 0*l**4 + 93/2*l**6 - 142. Find the second derivative of b(h) wrt h. 5580*h**3 Let n(b) = 344*b**2 - 6*b - 2161. Let x(a) = 679*a**2 - 11*a - 4320. Let s(h) = 11*n(h) - 6*x(h). Find the first derivative of s(q) wrt q. -580*q Let m = 5809 + -4124. Find the third derivative of 2*r - 4*r + 2*r + 1716*r**2 + 318*r**3 - m*r**2 wrt r. 1908 Let g(b) = 20*b**3 + b**2 + 307*b - 11. Let p(l) = -18*l**3 - l**2 - 307*l + 14. Let s(h) = 4*g(h) + 3*p(h). Find the second derivative of s(q) wrt q. 156*q + 2 Suppose 108 = s + 90. What is the second derivative of 20*a - 2*a**3 + 54 - 53*a**3 - s*a wrt a? -330*a Let y be -1*(5*(-6)/(-30) - 51). Find the second derivative of 142*o**3 - y*o**3 + 9*o + 8 - 3 wrt o. 552*o Let w(o) = 11*o - 28. Let j be w(3). Suppose 5*t - j - 5 = 0, 4*s = -2*t + 12. Differentiate 10*l**s - 12 - 11 - 7 + 0 wrt l. 20*l Let o = 97 + -95. What is the second derivative of 4*n**o - 3*n**3 + 3*n - 11 + 20 - 9 wrt n? -18*n + 8 What is the second derivative of 1265*g - 463*g**5 - 1501*g**5 - 143*g + 424*g wrt g? -39280*g**3 Let v(r) = -13*r - 23. Let k be v(-2). What is the third derivative of 16*l**3 - 53*l**3 - 191*l**2 - 110*l**k wrt l? -882 Suppose 3*a = -2*g + 10, -g = -0*a + 2*a - 6. Let l(i) = 21*i + 294. Let y be l(-14). Find the second derivative of v + y*v - 9*v**a + 0*v - 5*v wrt v. -18 Let i(n) = 975*n**3 + 5*n**2 - 20*n + 6. Let z(u) = 2921*u**3 + 18*u**2 - 62*u + 17. Let p(x) = -10*i(x) + 3*z(x). Find the third derivative of p(q) wrt q. -5922 Let p(b) = -664*b**3 - 122*b**2 + b - 197. Let h(o) = 333*o**3 + 49*o**2 + 98. Let g(c) = -10*h(c) - 4*p(c). Find the second derivative of g(r) wrt r. -4044*r - 4 Let b(h) = 11*h**2 - 6*h + 1. Let a(v) = -610*v**2 + 78*v - 2755. Let n(k) = 2*a(k) + 26*b(k). Find the first derivative of n(d) wrt d. -1868*d Find the second derivative of -4 + 504*o - 91*o + 29 - 2*o**4 - 29 + 135*o**2 wrt o. -24*o**2 + 270 Let m(u) = 144*u**3 + 22*u**2 + 3. Let n = -10 + 12. Let c(a) = 286*a**3 + 43*a**2 + 6. Let g(j) = n*c(j) - 5*m(j). Find the third derivative of g(f) wrt f. -888 Let x(c) be the third derivative of 2677*c**7/105 - c**5/15 + 200*c**3/3 + 9419*c**2. Find the third derivative of x(o) wrt o. 128496*o What is the first derivative of -318 - 272 - 384*m - 1500 + 374*m - 4124*m wrt m? -4134 Let h(r) be the first derivative of 0*r + 73 + 0*r**4 + 1/3*r**3 - 19/2*r**2 - 19/6*r**6 + 0*r**5. What is the third derivative of h(k) wrt k? -1140*k**2 What is the second derivative of -230169*j**2 - 45 + 614*j**3 + 10*j + 230169*j**2 wrt j? 3684*j What is the second derivative of -420*r**3 + 174*r**3 - 256*r**3 + 5*r**2 + 1069*r - 9261*r + 3*r**2 wrt r? -3012*r + 16 Differentiate -10*u**4 + 66*u + 4229 - 1705 - 69*u - 27*u**2 wrt u. -40*u**3 - 54*u - 3 Let z(v) = v**4 + 2*v**2 - 4*v + 1. Let l(q) = 1742*q**5 + 3*q**4 + 6*q**2 - 1791*q + 3. Let c(a) = -l(a) + 3*z(a). Find the second derivative of c(d) wrt d. -34840*d**3 Suppose 4*t = -2*x + 16, -4 = 2*t - 3*t + 5*x. What is the second derivative of -3*q**3 + 14*q**3 + 2*q**2 - 44*q - t*q**2 wrt q? 66*q - 4 Differentiate -1101*h - 434*h**2 - 51 + 1101*h - 173 with respect to h. -868*h Find the second derivative of 16466*y + 16239*y - 32281*y + y**2 - 196*y**5 wrt y. -3920*y**3 + 2 Let x = 45 - -16. Find the second derivative of 1610*y - 809*y - 4 + x*y**4 - 828*y wrt y. 732*y**2 Suppose -5*u + 15 = -0*u. Suppose -4*m - 8 = 2*d, 5*m = -u*d + m - 6. Find the first derivative of 27 + d*z + 21*z + 2 wrt z. 23 Suppose 8 = 4*c + 2*f, -2*c + 5*c = f + 16. What is the third derivative of 109*h**c + 1934*h - 2*h**2 + 55 - 963*h - 971*h wrt h? 2616*h Suppose 2*t - 8 = -5*w, -3*t = 4*w - t - 6. Let p(o) be the first derivative of 7*o - o**2 - 11 - o**w - o - 18*o. What is the first derivative of p(y) wrt y? -4 Let l(a) be the first derivative of 10155*a**7/7 + 10033*a**3/3 + 1464. What is the third derivative of l(j) wrt j? 1218600*j**3 Let o be (10/15)/(12/342). Find the first derivative of 52 - 48*i**2 - 21 - o*i**2 - 14*i**2 wrt i. -162*i Let a = -165 + 519. Find the third derivative of 0*r**3 + a*r**2 - 771*r**2 + 364*r**2 - 5*r**3 wrt r. -30 Find the second derivative of 750*v + 12661642*v**2 + 2039*v**4 - 12661642*v**2 wrt v. 24468*v**2 Let w(a) be the third derivative of -94*a**5/15 - 5*a**4/24 - 67*a**3/6 + 1425*a**2. Find the second derivative of w(t) wrt t. -752 Suppose -4*m - m + 265 = 0. What is the derivative of -9*b + 39 - 17*b + 33 - m*b wrt b? -79 Differentiate -201*u**3 + 1156 - 79*u**3 - 53*u**3 - 84*u**3 wrt u. -1251*u**2 Let f(m) = -5*m - 5. Let q be f(-1). Let o = 2 + q. What is the derivative of 13 - 9*z**2 + z**o - 14*z**2 wrt z? -44*z Find the third derivative of -86888*u**4 + 89058*u**4 + 485*u**2 - 1594*u**2 wrt u. 52080*u Suppose 6*s - s - b - 681 = 0, -2*b + 406 = 3*s. What is the third derivative of u**2 + s*u - 266*u - 84*u**3 + 153*u wrt u? -504 Let q(s) be the second derivative of 17*s**5/20 - s**4/4 + 263*s**3/6 - s**2/2 + 2*s - 8. Find the second derivative of q(a) wrt a. 102*a - 6 What is the first derivative of -31 + 255314*k**3 - 255314*k**3 + 1020*k**4 wrt k? 4080*k**3 Suppose -3*s + 34 = 7. Find the first derivative of 41*o**4 + 1520*o**2 + s - 1520*o**2 wrt o. 164*o**3 Let s(h) be the second derivative of -3/2*h**2 - 207*h - 71/30*h**6 + 0 + 0*h**3 + 0*h**5 - 1/12*h**4. Find the third derivative of s(q) wrt q. -1704*q Let p(t) be the second derivative of -10539*t**8/56 - 41*t**4/3 - 8*t - 409. Find the third derivative of p(f) wrt f. -1264680*f**3 Suppose -5 = -4*t - 0*t + 5*m, -3*t + 30 = 5*m. Let x = 271 + -269. What is the third derivative of -16*o**x - 6*o**t - 13*o**5 + 590*o**4 - 590*o**4 wrt o? -1140*o**2 What is the third derivative of -1541*w**3 + 1181733 + 1566*w**2 - 1181733 wrt w? -9246 Let i(m) = m**4 - 2*m**2 - m - 1. Let w(t) = 192*t**5 - 15*t**4 - 105*t**2 + 15*t + 15. Let b(v) = 90*i(v) + 6*w(v). Find the third derivative of b(d) wrt d. 69120*d**2 Find the second derivative of 14110934*j + 31 - 14111199*j - 12697*j**2 - 6 wrt j. -25394 Find the third derivative of -1294 - 3403*h**4 + 1294 - 16*h + 13*h - 216*h**2 wrt h. -81672*h Let k(m) be the second derivative of -122*m**3 - 194*m**2 - 5*m + 5. Find the first derivative of k(c) wrt c. -732 Suppose -145*m + 428 = -7. Let d(w) be the third derivative of -5/12*w**4 + 31*w**2 + 0*w**m + 0 + 0*w + 7/30*w**5. What is the second derivative of d(v) wrt v? 28 Let v(d) be the first derivative of 0*d**2 - 1/4*d**4 + 4/3*d**3 - 90 + 17*d + 47/5*d**5. Find the third derivative of v(z) wrt z. 1128*z - 6 Let m(w) be the first derivative of -6 - w**2 + 0*w**5 - 37/6*w**6 - 8*w**3 + 0*w**4 + 0*w. Find the third derivative of m(t) wrt t. -2220*t**2 Let o(q) = q**2. Let n(y) = -252*y**3 + 12*y**2 + 252. Let u = -598 - -610. Let v(b) = u*o(b) - n(b). Find the first derivative of v(k) wrt k. 756*k**2 Differentiate 507 + 3*w**3 - 3*w**3 - 413*w**4 + 171 + 249 with respect to w. -1652*w**3 Let n(y) be the second derivative of -91*y + 0*y**5 + 3*y**2 + 0*y**3 + 0*y**6 + 0 - 1/3*y**4 + 2/21*y**7. What is the third derivative of n(k) wrt k? 240*k**2 Let z(i) be the second derivative of 9385*i**3/6 + 3523*i**2 + 6164*i. Find the first derivative of z(y) wrt y. 9385 Let n(g) be the first derivative of 0*g**2 + 130*g - 3/4*g**4 + 10/3*g**3 - 87. What is the derivative of n(v) wrt v? -9*v**2 + 20*v Let x = 159 + -106. Wha
{ "pile_set_name": "DM Mathematics" }
m. Suppose -5*v + 20 = 5*g - 10*g, 5*g = v - 4. Give z(v). 4 Let m be 3*(0 - 2)/(-6). Let s = m + 3. Let u(j) be the third derivative of j**5/60 - j**4/6 + j**3/2 - j**2. What is u(s)? 3 Let p(m) be the first derivative of -m**6/360 + 2*m**3 + 4. Let s(l) be the third derivative of p(l). Determine s(2). -4 Let a(z) = 4*z - 4. Let o(p) = p**2 - 4*p + 4. Let f be o(4). Determine a(f). 12 Let t(p) = -4*p - p - 2 + 0 - 2 + p**2. Determine t(5). -4 Let g(b) = -4*b - 2. Let m(h) = -4*h - 3. Let d(o) = 4*g(o) - 3*m(o). Determine d(1). -3 Let l(g) be the second derivative of -13*g**4/12 - 21*g. Calculate l(-1). -13 Let b(t) = -7*t. Let i(r) = -20*r - 1. Let x(s) = -8*b(s) + 3*i(s). Determine x(-2). 5 Let c(v) = -v - 4. Suppose -3*p + 3 = 0, -w - 2 + 3 = -2*p. Determine c(w). -7 Let u(w) = w + 7. Let h be 0 - (12 + (-3)/1). Let m be u(h). Let b be (60/24)/(m/4). Let p(v) = -v**2 - 6*v - 7. What is p(b)? -2 Let d(r) = 5*r**2 - 9*r - 1. Let u(i) = -9*i**2 + 17*i + 2. Let n(l) = -11*d(l) - 6*u(l). Determine n(-2). 1 Suppose -1 - 8 = -3*p. Let i(a) be the second derivative of 5*a**3/6 - a**2 - 89*a. Give i(p). 13 Suppose -5*m + 57 = -3*z - 4, 0 = -4*m + 20. Let x = z - -11. Let s(c) = 8*c**2 + 2*c + 1. Calculate s(x). 7 Let d(p) = -7*p - 1. Let q(m) = 3*m + 1. Let a(t) = 2*d(t) + 5*q(t). Let j(x) = -5*x - 13. Let i(n) = -9*a(n) - 2*j(n). What is i(5)? 4 Let x(h) = 12*h**2 + 1 - 11*h**2 - 3*h + 0. Calculate x(3). 1 Let c(v) = -4 + 10 - 10 + 3*v. Determine c(5). 11 Let k(g) be the third derivative of -g**6/120 - g**5/60 + g**4/12 + g**3/6 + 2*g**2. Let c = 10 - 8. Let z = -3 + c. What is k(z)? -1 Let j = -2 + 8. Let w = 3 - j. Let m(f) = -3 + 2 + 2*f + 1 + 3. Determine m(w). -3 Suppose f = -6 + 2. Let p be (-9 + 6)/(3/f). Let v(l) = l**2 - 3*l - 4. Give v(p). 0 Let s(t) = -3*t - 14 + t**2 - 2*t + 13. Determine s(4). -5 Let x(y) = y - 7. Let h be x(3). Let z(w) be the first derivative of -2 - w - 1/2*w**2. Give z(h). 3 Let w(y) = -2*y - 7. Let a be 108/(-22) - (-15)/(-165). Calculate w(a). 3 Let s(l) = -2*l**2 + l - 1. Suppose 0 = -a + 2, -5*a - 6 = -0*u - 4*u. Suppose -28 = -u*b - 5*p, b - 2*p + 6 = -0*b. What is s(b)? -7 Let q(o) be the first derivative of 3*o**2 - 9 + 1/3*o**3 + 0*o. What is q(-5)? -5 Let x(t) = -t + 3. Let v(n) = -n**2 - 8*n - 8. Let u be v(-6). What is x(u)? -1 Let m(y) = -y - 4. Suppose 2*c = -3*g + 3*c + 12, 24 = 4*g - 4*c. Determine m(g). -7 Suppose -3*w = 2*w - 45. Let a(z) = 0*z - w*z - z**2 - 9 + 1 + 1. Determine a(-7). 7 Let z(u) be the first derivative of -u**3/3 - u**2/2 - 8*u - 34. Give z(0). -8 Let h be (8/(-2))/(6/(-24)). Suppose 5*p + 23 = 2*k, -1 + h = -5*k - 2*p. Let i be -2*5*k/2. Let v(n) = n**2 - 7*n + 3. Give v(i). -7 Let h(g) = g + 10. Let s(m) = 3*m**2 + 12*m - 2. Let z be s(-3). What is h(z)? -1 Let d(i) = 2*i**3 + 16*i**2 + 18*i + 1. Let f(b) = b**3 + 8*b**2 + 9*b. Let h(l) = 6*d(l) - 11*f(l). Determine h(-7). -8 Let v be (-60)/21 + 1/(-7). Let n(t) be the second derivative of t**3/6 - 3*t**2/2 + t. Give n(v). -6 Let r(m) = -m**2 + m + 1. Let l = 3 + 7. Suppose 0 = 3*k - v - 7, -2*k - 5*v = 28 - l. Suppose -3 = -2*a + k. Calculate r(a). -1 Let n(d) = d**3 + d**2 - d + 1. Let l be (-5)/1 - (4 + (-2 - 5)). Determine n(l). -1 Let w = -49 + 47. Let v(m) = -m**3 - 2*m**2 + m - 1. What is v(w)? -3 Let x(y) = y**2 - 3*y + 4. Suppose 2*l + 4 = f - 0, 0 = -3*f - 2*l + 20. Let h(i) = -9 + 4*i - 3*i + i. Let g be h(f). Give x(g). 4 Let r(b) = -2*b + 18. Let s(q) = -q + 9. Let d(j) = 3*r(j) - 7*s(j). Determine d(6). -3 Let g(z) = z**3 + 2*z**2 - 1. Let f be g(-1). Let i(u) = 2 + u + f + 0. Let v(a) = a**2 + 8*a + 4. Let l be v(-8). Give i(l). 6 Let q(n) = 3*n + 5. Let k(y) = -3*y - 5. Let j(t) = 3*k(t) + 2*q(t). Suppose -5*p - 2*i = -i + 9, 0 = p + 4*i + 17. Let r be 2/p - (3 + -1). Calculate j(r). 7 Let m = 7 - 6. Let z(j) = -7*j - 7. Let d(p) = p**2 + 1. Let v(h) = m*z(h) + d(h). What is v(6)? -12 Let y(s) be the third derivative of -s**7/840 - s**6/72 - s**5/40 - 2*s**3/3 + s**2. Let f(t) be the first derivative of y(t). Give f(-3). -9 Suppose -2*g + 14 = -3*x, g = -4*x - 2*g + 4. Let t(j) = 2*j**2. Determine t(x). 8 Suppose -3*x + 2*v + 11 = 0, 24 = 4*x - 0*v - 5*v. Let r(b) = -19*b**2 + b. Calculate r(x). -18 Let r(q) be the second derivative of q**3/3 - 5*q**2/2 - 10*q. What is r(4)? 3 Let p(i) = -7*i**3 - 4*i**2 + 9*i + 1. Let z(n) = -3*n**3 - 2*n**2 + 4*n + 1. Let q(c) = 2*p(c) - 5*z(c). Give q(-3). -6 Let z(k) = 38*k**2 - 3*k - 39*k**2 + 3 - 2*k + 2*k. Calculate z(-5). -7 Let h(n) = -3*n**3 - 2*n - 2*n**3 + 0*n**2 + 6*n**3 + n**2. Determine h(-3). -12 Suppose -16 = -4*q - 3*v, 2*q - v - 5 - 3 = 0. Let y(o) = 0 - 4 - o**2 - 3*o + 8*o. Calculate y(q). 0 Let q(l) = l**2 - 9*l + 9. Let o be q(8). Let p(b) = 4*b**3 + 4*b**2 - 1. Let j(a) = -a**3 + a**2. Let x(h) = -3*j(h) + p(h). Determine x(o). 7 Let q(z) = -z**2 + 4*z. Let g be q(5). Suppose -4*w = -3*c - 35, 0 = -w - w + 5*c + 35. Let b(o) = 0*o**2 + 8 + w*o - 3 + o**2. Calculate b(g). 5 Let n(c) = -c**2 + 0*c**2 - 6*c**2 - c**3 - 2 - 7*c - 5. Let o(w) = w**2 + 7*w + 6. Let j be o(-4). What is n(j)? -1 Let i(n) = 2*n**2 + 2*n + 2. Let b(y) = -y**3 - 5*y**2 - 3*y. Let w be b(-4). Let h = 0 - w. Suppose -h*k = -0*k + 8. Determine i(k). 6 Let h = 14 + -12. Let m(s) = 0*s**3 - 4*s**2 + 7*s**2 - 4*s**3 - 2*s**h. Give m(-1). 5 Let r(l) = l**3 + 2*l**2 - l. Let n be (-29)/(-3) + (-3)/(-9). Let y = 11 - n. Give r(y). 2 Let v(x) = -x - 1. Suppose 3 - 2 = -s. Let k(w) = -6*w**2 - 2*w - 1. Let q be k(s). Calculate v(q). 4 Let p be (18/(-5))/(3/(-10)). Let n be (p/(-15))/((-4)/30). Suppose 2 = 2*d + l, -4*d = -9*d - 2*l + n. Let z(u) = u**3 - 4*u**2 + u - 2. Determine z(d). -8 Let b = -126 - -125. Let c(x) = 13*x - 1. Give c(b). -14 Suppose 3*j - 12 = -0*j, -r - 3*j = -11. Let w(x) be the second derivative of 0*x**2 - 2*x + 0 + 2/3*x**3. Give w(r). -4 Let a = 1 + 2. Let h(d) = d**2 - d**a + 2 + 2 + 1. Give h(0). 5 Suppose 3*s = -v + 11, 2*s - 7 = -4*v - 3. Let t be (-1)/(2*v/6). Suppose -4*x + t = -1. Let k(f) = -f**3 + 2*f - 1. Determine k(x). 0 Let g(b) = b**3 + b**2 + 3. Let m be 20/(-70) - (-4)/14. What is g(m)? 3 Let o(a) = -11*a + 7. Let u(p) = -5*p + 3. Let g(j) = 6*o(j) - 13*u(j). What is g(2)? 1 Let g(a) be the first derivative of -a**2 + a + 18. Determine g(6). -11 Let b(r) = 4 + 4 - r**2 - 7*r - 1 + 3. Let x be b(-8). Let q(s) = -3 + 1 + x*s - 3*s. Calculate q(-4). 2 Suppose 5*m + 4*r = 2, 4*m + r - 5 = 1. Suppose 0 + 1 = d. Let n(s) = -d - s**3 - m*s + 4*s + s**2 + 0. What is n(2)? -1 Let c(h) = 6*h + 2*h - 10*h - 4. What is c(-3)? 2 Suppose -6*w + 10 = -4*w. Let v(c) = -11*c**2 + 21*c - 15. Let u(r) = -7*r**2 + 14*r - 10. Let n(q) = 8*u(q) - 5*v(q). Calculate n(w). 5 Let p(c) be the third derivative of -c**4/8 - c**3/6 - c**2. Suppose -b = b - 2. Calculate p(b). -4 Suppose -3*r + 34 = 4. Let k(v) = v**3 - 10*v**2 + v - 6. Give k(r). 4 Let t = 2 + -4. Let f(h) be the second derivative of -h**5/20 - h**4/6 + h**3/6 - h**2/2 + 4*h. Let g be f(t). Let v(y) = 2*y + 1. What is v(g)? -5 Let b = -12 - -18. Let g(m) = m**3 - 7*m**2 + 4*m + 2. What is g(b)? -10 Let c(d) = d**2 + d - 2. Let u = 7 - 4. What is c(u)? 10 Let h = -11 + 15. Suppose 0 = -4*f + 2*m + 22, -2*f + h = -f + m. Let s(v) = -v + 5. Give s(f). 0 Suppose -2*y + 3 = -y. Let d(l) = -y*l - l + 0*l. Determine d(-2). 8 Suppose x - 6 = -x. Let l(n) be the third derivative of n**6/120 - n**5/12 + 5*n**4/24 - 2*n**3/3 - 2*n**2. Calculate l(x). -7 Let v(s) be the first derivative of -s**2 + 22*s + 1. Let u(g) = 12. Let y(p) = -p - 1. Let b(j) = u(j) + y(j). Let h(c) = 5*b(c) - 2*v(c). Give h(6). 5 Let o be (-48)/18 + 1/(-3). Let p(j) = j**2 + 3*j - 3. Let u be p(2). Let y(v) = -4 - v**2 + 6*v**3 - u*v**3 - v**2. Give y(o). 5 Let m = -10 - -9. Let v(f) = -f**3 - 5*f**2 - 6*f - 6. Let w be v(-4). Let y(r) = -r**w + 4 - 2*r**2 - 5 + 9*r**3 + 5*r**2. Determine y(m). -8 Let f(n) = 3*n**2 - 22*n**3 + 14*n**3 + 7*n**3 + 4*n**2 + 2. Determine f(7). 2 Suppose 4*i + g = 7 - 3, -3*i - g + 4 = 0. Let q(r) be the second derivative of -r**4/12 - r**3/6 + 3*r**2/2 - r. What is q(i)? 3 Let t(a) = -2*a**2 + a + 3. Suppose 0 = -4*m - 4*v + 4, -2*v + 7*v + 1 = -3*m. Determine t(m). -12 Let s(x) = -x**3 + x**2 + x + 3. Let w be s(0).
{ "pile_set_name": "DM Mathematics" }
5*b**4/24 + 7*b**2. What is the second derivative of i(k) wrt k? 48*k Let n(s) be the first derivative of 23*s**4/4 + 10*s - 36. Find the first derivative of n(o) wrt o. 69*o**2 Let f be 3*42/36*(-3)/(-7). Let p(r) be the first derivative of f*r**2 - 3 + 0*r - r**3. What is the second derivative of p(t) wrt t? -6 Let q = -8 - -20. Suppose 0 = v - z - 4 - 4, 3*z = -q. Find the second derivative of y**3 + y - 4*y + v*y wrt y. 6*y What is the second derivative of 19*j + j**3 + 4*j**3 + 18*j**3 wrt j? 138*j Let g(l) be the first derivative of -5*l**2/2 + 20*l - 4. Let y(s) = 1. Let n(c) = g(c) - 15*y(c). What is the derivative of n(u) wrt u? -5 Suppose -4*i = -2 - 10. What is the third derivative of p**i + p**2 - 3*p + 3*p wrt p? 6 Let i = -7 - -14. Let b be i/28 + (-38)/(-8). What is the second derivative of -3*c + 2*c**5 - 5*c**4 + b*c**4 wrt c? 40*c**3 Let s(a) be the first derivative of -a**4 + 4 + 0*a**3 + 0*a - 5/2*a**2. Find the second derivative of s(j) wrt j. -24*j Find the first derivative of 15*k - 5*k - 33 - 6*k + 2*k**2 - 5*k**2 wrt k. -6*k + 4 Find the third derivative of 14*j**3 + 0*j**3 - 7*j**2 - 14*j**3 - 13*j**6 wrt j. -1560*j**3 Let l(o) = o - 5. Suppose 3*d - 14 = -d - q, -4*d - 2*q + 16 = 0. Let b(x) = -2*x + 1 + 8 - d. Let h(k) = 3*b(k) + 4*l(k). Differentiate h(j) with respect to j. -2 Suppose 0 = 4*x + 9 + 3. Let n(a) = -2*a + 4*a + 0*a. Let y(u) = 6*u + 1. Let r(j) = x*y(j) + 8*n(j). Find the first derivative of r(g) wrt g. -2 Let h(s) be the first derivative of 14*s**5/5 - 5*s**2 + 11. Find the second derivative of h(p) wrt p. 168*p**2 Let z be 4 + 1*-2 + 0. Let n be ((-3)/2)/(z/(-4)). Differentiate -2 + g + 3*g - n*g wrt g. 1 Let z(s) = -8*s**2 + 3. Let r(u) = u**3 + 1. Let x(v) = -3*r(v) + z(v). Find the third derivative of x(k) wrt k. -18 Let u be (-8)/(-12)*-3*-2. What is the first derivative of 2*r**4 + 4*r**2 + 6 + 0*r**2 - u*r**2 wrt r? 8*r**3 Let r = 10 - 3. Let f = 8 - r. What is the derivative of 2 + 2*d + d - 4*d - f wrt d? -1 Let l be 9/(-6)*-2 - -1. Differentiate -5*z**2 - 7*z**2 - 6 + l + 19*z**2 with respect to z. 14*z Let s(n) be the second derivative of -n**5/10 - 4*n**3/3 + 5*n. What is the second derivative of s(w) wrt w? -12*w Suppose -4 = -5*t + t. Suppose t + 2 = g. Find the second derivative of -b**3 + 0*b**g - 2*b - b**3 - b wrt b. -12*b Let w(k) be the first derivative of 2*k**4 - 3*k**2/2 + 3. What is the second derivative of w(r) wrt r? 48*r Let j(d) be the second derivative of 2*d**7/7 + d**4/12 - 14*d. What is the third derivative of j(t) wrt t? 720*t**2 Let f(j) = j**4 + j + 1. Let g(c) = -23*c**4 + 3*c**2 - 4*c + 4. Let u(o) = 4*f(o) + g(o). Find the third derivative of u(w) wrt w. -456*w Let q(t) be the second derivative of 7*t**4/4 - 21*t**2/2 + 4*t. Find the first derivative of q(w) wrt w. 42*w Suppose -o - 4*m - 11 = 0, -3*o - 4*m - 1 + 0 = 0. Let y be 6/15 - (-18)/5. What is the second derivative of l**5 + 2*l**5 - y*l**o - l wrt l? -20*l**3 Let x(u) be the first derivative of -u**4 - 4*u**3/3 - 6. Find the third derivative of x(l) wrt l. -24 Let i(z) be the third derivative of z**9/5040 - z**7/840 + z**4/6 + 4*z**2. Let t(b) be the second derivative of i(b). Find the third derivative of t(u) wrt u. 72*u Let w(g) = g**2 + 3*g - 2. Let h be w(-6). Suppose -h = -3*c - 7. What is the third derivative of -c - a**2 + 3 + a**3 wrt a? 6 Let p(h) = 3*h - 3. Let f(j) = -9*j + 5 + 3*j + 0 + 1. Let k(r) = 4*f(r) + 7*p(r). Differentiate k(z) wrt z. -3 Let k(d) = -d**3 - d**2 + d + 1. Let i(h) = -4*h**3 - 4*h**2 + 3*h + 3. Let t(x) = -i(x) + 3*k(x). Find the third derivative of t(f) wrt f. 6 Let d(l) = -6*l + 2*l**2 + 0 - 2 - 3*l**2. Let n be d(-5). Differentiate 0 - 2*u**4 + n - 2 with respect to u. -8*u**3 Let g(v) be the third derivative of -4*v**7/105 - 11*v**4/6 + 12*v**2. Find the second derivative of g(p) wrt p. -96*p**2 Let a(g) be the second derivative of g**5/4 + g**3/6 + 3*g. What is the second derivative of a(t) wrt t? 30*t What is the third derivative of -10*a**2 - 15*a**5 + 2*a**2 + 3*a**5 wrt a? -720*a**2 Let u(q) be the third derivative of 2*q**8/21 - 19*q**4/12 - 62*q**2. What is the second derivative of u(i) wrt i? 640*i**3 Let r(g) be the first derivative of -g**5/40 + g**4/12 - 2*g**3/3 - 4. Let a(y) be the third derivative of r(y). What is the first derivative of a(c) wrt c? -3 Let v(u) be the second derivative of u**7/210 + u**4/12 - 3*u**2/2 - u. Let k(h) be the first derivative of v(h). Find the second derivative of k(y) wrt y. 12*y**2 Let v be (-1)/(3/2 + -2). Let x(c) be the first derivative of -2*c - v + 0*c**2 - 2/3*c**3. What is the first derivative of x(y) wrt y? -4*y Let l(s) be the second derivative of 9*s**5/20 + 11*s**4/12 - 4*s. Find the third derivative of l(w) wrt w. 54 Let c(j) be the second derivative of -1/3*j**4 + 5*j + 0*j**2 + 1/6*j**3 + 0. Find the second derivative of c(f) wrt f. -8 Find the third derivative of -3*x**6 - 58*x**2 + 26*x**2 - 2*x**4 + 4*x - 2*x wrt x. -360*x**3 - 48*x Let r(s) be the third derivative of 2*s**7/21 + 7*s**4/12 - 9*s**2. What is the second derivative of r(i) wrt i? 240*i**2 Let p(j) = 6*j**2 - 18*j + 14. Let h(b) = -2*b**2 + 6*b - 5. Suppose 0 = -w + 6*w - 25. Let u(g) = w*p(g) + 14*h(g). Find the second derivative of u(x) wrt x. 4 Find the second derivative of 13*p**4 - 16*p**4 - 2*p + 8*p wrt p. -36*p**2 Let b(u) = 3*u. Let f be b(1). Let w be (f/2)/((-4)/(-8)). What is the first derivative of k**3 - 3*k**4 - 3 - k**w + k**4 wrt k? -8*k**3 Let w = -143 - -143. Let p(t) be the third derivative of 0 + w*t**4 + 0*t + 1/6*t**3 + 0*t**5 - 3*t**2 + 1/60*t**6. Differentiate p(f) with respect to f. 6*f**2 Let p(u) = 2*u - 4. Let a be p(6). Let o = -4 + a. Find the second derivative of h - 4*h + 2*h + h**o wrt h. 12*h**2 What is the derivative of -3 - 2 - 2*p**2 - 4*p**2 wrt p? -12*p Let k be 6 - 1/((-3)/(-6)). What is the third derivative of -5*d**2 - d**6 + d**6 - k*d**6 + d**2 wrt d? -480*d**3 Let c = 7 + -2. Find the second derivative of w + 7*w**4 + w - c*w wrt w. 84*w**2 Let f(r) = -r + 4. Let h be f(0). Let t(b) = -b**3 + 3*b**2 + 4*b + 3. Let k be t(h). What is the derivative of -2*w**k - w**3 + 0*w**3 - 3 wrt w? -9*w**2 Let f(r) be the first derivative of 13*r**4/4 - 23*r**3/3 + 4. What is the third derivative of f(j) wrt j? 78 Let y(c) be the third derivative of c**6/90 + c**4/4 + c**3/3 + 4*c**2. Let x(w) be the first derivative of y(w). Differentiate x(q) wrt q. 8*q Let r(z) = -3*z**2 + 5*z. Let m(c) = 4*c**2 - 6*c + 1. Let y(b) = 5*m(b) + 6*r(b). What is the first derivative of y(u) wrt u? 4*u Let f(y) be the third derivative of y**2 + 0*y + 0 + 0*y**4 + 1/30*y**5 - 1/60*y**6 + 0*y**3. What is the third derivative of f(v) wrt v? -12 Let t(u) be the first derivative of 7*u**3 + 7*u**2 + 11. Find the second derivative of t(a) wrt a. 42 Let g(t) be the third derivative of 0*t - 1/60*t**5 + 0*t**4 + 0 - 1/6*t**3 + t**2. Differentiate g(h) with respect to h. -2*h Let a(z) = -3*z**4 + 2. Let w(y) = 6*y**4 - 3. Let g(o) = -7*a(o) - 3*w(o). What is the derivative of g(u) wrt u? 12*u**3 Let b(r) be the second derivative of -17*r**6/15 - 17*r**4/6 - 47*r. Find the third derivative of b(s) wrt s. -816*s Let o = -13 + 15. What is the third derivative of -3*h**o - h**2 - 12*h**3 + 4*h**3 + 2*h**2 wrt h? -48 Let l(f) be the first derivative of 3*f**2 - 4*f + 1. Differentiate l(w) wrt w. 6 Let m be ((-6)/(-10))/(1/5). Differentiate 3*g**4 + 0*g**4 - 7*g**4 + m*g**4 + 1 wrt g. -4*g**3 Let d(b) = 4*b + 1. Let r(v) = -14 - 2*v + 14. Let y(z) = 2*d(z) + 5*r(z). What is the derivative of y(x) wrt x? -2 Let x(o) = -30*o**3 - 25*o**2 + 4. Let y(z) = -60*z**3 - 50*z**2 + 9. Let t(u) = -9*x(u) + 4*y(u). Find the third derivative of t(k) wrt k. 180 Let g(w) = 7*w**3 - 6*w**2 - 4*w. Let d = -7 + 1. Let b(v) = 20*v**3 - 17*v**2 - 11*v. Let o(t) = d*b(t) + 17*g(t). Find the second derivative of o(l) wrt l. -6*l Suppose -4*l - 4 = -3*v - 2, 3*l = 4*v - 5. Find the third derivative of 6*w**2 - 2*w**3 - v*w**2 + 6*w**3 + 5*w**2 wrt w. 24 Let u(j) be the second derivative of -j**8/240 + j**5/60 - j**3 + 7*j. Let b(h) be the second derivative of u(h). What is the second derivative of b(t) wrt t? -84*t**2 Suppose a - 8 = -3*a. Let n = a + 1. Diffe
{ "pile_set_name": "DM Mathematics" }
+ 16 = 0 for j. 4 Solve 6 = 3*a, -3*f + a = 5 + 36 for f. -13 Solve -6 = 3*q, 100*q + 4 = 2*w + 101*q for w. 3 Solve 4*z + 100 = -14*x, 15*z - 2*x - 1 = 20*z for z. 3 Solve t - 9*t + 22 = 3*r, -2*t - 3*t + 3 = -22 for r. -6 Solve -4*o + 4*j - 16 = 0, -9*o + 5*j = -22 + 34 for o. 2 Solve -3*v = -3, -i + 3*v - 56 = -49 for i. -4 Solve 63*b = 61*b - 12, 4*l = -2*b - 8 for l. 1 Solve -f = -2, -38*w + 40*w = -38*f + 76 for w. 0 Solve 53 = 2*y - 3*i + 51, -4*y + 3*i + 16 = 0 for y. 7 Solve -2*s = -5*y - 41, 3*s - 5*y - 799 + 760 = 0 for s. -2 Solve p + 14 = -1504*x + 1502*x, 4*p + 36 = -4*x for x. -5 Solve 4*j = -5*n - 8, 4*j = -84*n + 86*n - 8 for j. -2 Solve -2*h + 3*b - 54 = -59, b + 11 = 3*h for h. 4 Solve 5*g - 2 = -11*a + 8*a, -2*a - 6*g = 4 for a. 4 Solve 3*l = 3*v - 54, -114 = 5*l - 2*v - 36 for l. -14 Solve 14*y + 6 = 4*l + 12*y, 0 = 3*l - 4*y - 12 for l. 0 Solve 8*o + 12*m + 19*m - 36*m - 14 = 0, 3*o - 2*m - 6 = 0 for o. -2 Solve -3*z - 3*t = 12, 2*z + 133*t = 134*t - 17 for z. -7 Solve 0 = 2*z + l + 6, 9*z + 1191 - 1164 = -5*l for z. -3 Solve 4*v = 5*m - 40, 1495*m + 3*v + 35 = 1500*m for m. 4 Solve -4*i = 2*x - 14, -4*i - 16*x = -63 + 7 for i. 2 Solve 4*q - 12 = t, 3*t - 342 = -16*q - 294 for q. 3 Solve 13 = -3*p + 5*i, -3*p = 5*i + 21*i - 142 for p. 4 Solve 3*c - 17*z = 43, 5*z = -4*c - 0*c + 2 for c. 3 Solve 2*c + 5*k = 22, 5*c + 4*k - 428 = -407 for c. 1 Solve -329*l + 334*l = -2*t + 16, 5*t + 22 = 3*l for l. 4 Solve d + 4 = 0, -7*d - 6 = 7*z - 10*d + 3 for z. -3 Solve -6*y = -2*x - 15 - 19, -9 = -3*y - 3*x for y. 5 Solve -5*v = -3*n - 37, 0 = -5*v - 3*n + 699 - 686 for v. 5 Solve -13 + 14 + 18 + 23 = 21*b, 0 = -2*d - 4*b - 2 for d. -5 Solve -3*h = 5*g - 11, -9 = 1371*g - 1372*g - 4*h for g. 1 Solve -3*s = -3*f + 3, 4*s - 404*f = -405*f - 9 for s. -2 Solve 19*y - 18*y + 11 = -4*f, -1 = -f + y for f. -2 Solve -o - 28 = 2052*u - 2054*u, 5*o = -u - 151 for u. -1 Solve 0 = -1062*w + 1059*w + 5*v + 35, 5*v + 15 = -w for w. 5 Solve -3*d = u - 15, 11 + 9 = 4*d + 5*u for d. 5 Solve -9*r + 17*d - 19*d - 7 = 0, -d - 5 = 2*r - 4 for r. -1 Solve -13 - 7 = -53*p + 57*p - n, 455 = -91*p + 3*n for p. -5 Solve -29*b - 29 = 2*q - 24*b, 0 = -5*q - 3*b - 25 for q. -2 Solve 4*f = -3*m - 9, 6*m - f - 5 = 29 - 25 for m. 1 Solve 4*s + g + 16 = 0, -5*s + g - 50 = -21 for s. -5 Solve 0 = 2*p + o - 11, -2*p + 94*o - 98*o = -20 for p. 4 Solve 0 = -3*h + 4*d + 21, 3*d + 4 - 1 = -2*h for h. 3 Solve 18*k - 51 = 19*k - 9*y, 0 = -3*y + 18 for k. 3 Solve w = 2*t + 3, -49 = -t - 3*w - 33 for t. 1 Solve 4*a + 16 = 0, 33*r - 7*a = 28*r + 118 for r. 18 Solve -z - 166 + 176 = -4*y, y = 3*z - 8 for z. 2 Solve 2*v = -7*b + 2*b - 39, -4*b - 6 = -2*v for b. -5 Solve -4*l + 245*y - 249*y = -4, -l - 2*y = -2 for l. 0 Solve -2*h = -i + 7, -5*h - i + 70 = 91 for h. -4 Solve 9 = r + 15*c - 12*c, -2*r - 5*c = -14 for r. -3 Solve 102*q + 19 = 2*o + 3*o + 101*q, 0 = 5*o + 5*q - 55 for o. 5 Solve 4*b + j = 24 - 13, -j = 2*b - 13 for b. -1 Solve -2*l - 2*t = 26, 16 = -4*l - 334*t + 332*t for l. 5 Solve 4*i - 4*k - 12 = 0, 3*k = 5*i + 50 - 67 for i. 4 Solve -2*t = 6, v + 64*t - 62*t + 4 = 0 for v. 2 Solve -38 = -9*o + 2*u, -263*u + 4 = -267*u for o. 4 Solve 8*l - 2*t - 13 = 7*l, -t = 2*l - 1 for l. 3 Solve 7*k + 3 = 3*z, 8*z = -5*k + 9*z - 1 for k. 0 Solve -2*h + 9 = 3*x, -2*h = -355799*x + 355801*x - 6 for x. 3 Solve 0 = 5*i - 5*l + 30, 102*l - 101*l - 2 = 0 for i. -4 Solve -5*g - 50 = 5*o - 35, -12 = 5*o + 2*g for o. -2 Solve 4*v = 8, -6*c - 2*v + 26 = -2*c + 2 for c. 5 Solve -k = -2*j - 625 + 622, j - 5*k - 3 = 0 for j. -2 Solve -23*h = -21*h - 5*q - 3, 2*q + 6 = -4*h for h. -1 Solve -3*f - 3895 + 3873 = 4*y, -2*y - 4*f - 16 = 0 for y. -4 Solve -18 = 5*v - 54*a + 58*a, 0 = -4*v - 3*a - 15 for v. -6 Solve 2*t = -853*m + 849*m + 50, 5*m - 43 = 4*t for m. 11 Solve 0 = -4*g - 4, 5*x - 10764*g = -10768*g - 19 for x. -3 Solve 98*z - 97*z + 2*o + 20 = 0, 5*z - 9*o - 71 = 0 for z. -2 Solve -27*l = 5*h - 2 + 14, -3*l - 2*h = -h for l. -1 Solve 4*z - 43 + 86 = 3*c, 7*z = -5*c + 17 for c. 9 Solve 2*w - h + 3 = 0, -4438*w + 4440*w + 2*h + 18 = 0 for w. -4 Solve 0 = -7360*a + 7363*a + k - 25, -5*a = -5*k - 35 for a. 8 Solve -3*q - 3 = 0, 5*q = -14*x - 85 + 122 for x. 3 Solve 7 = 2*g + 2*m - 11, 5 = 5*g - 5*m for g. 5 Solve 23 = -191*g + 196*g + 2*v, -g + 15 = 3*v for g. 3 Solve 5*q = -5*a - 25, -560*q - 5 = a - 564*q for a. -5 Solve 0 = 4*v + o - 3, 2*v - 3*o + 52 - 43 = 0 for v. 0 Solve -2*o + 2*u = 0, -4*o + 1547 = 4*u + 1563 for o. -2 Solve -2*h - 30 = 5*l, 0 = 3*h + 5 + 10 for l. -4 Solve 12*t + 9 = 4*y + 15*t, 3*y + 15 = 5*t for y. 0 Solve -2*u + 133 = 121, 14 = -4*k - u for k. -5 Solve -24766*o + 24763*o = 3*y - 9, 0 = o + 5*y - 11 for o. 1 Solve 4*p = 2*s - 18, -2124*s + 2122*s + 27 = -7*p for s. 3 Solve -803 = a + 3*g - 798, -14 = 5*a + 4*g for a. -2 Solve 0 = 4*z - 4*d + 24, 5*z + 13 + 8 = 2*d for z. -3 Solve i + 316 = 4*r + 318, r - 10 = -5*i for i. 2 Solve 4*v + 0*v = 10*h - 24, 3*v + 5*h = 32 for v. 4 Solve 0 = -2*t + 3*s + 5, -4*s + 1 = -3*t + 8*t for t. 1 Solve s + 2*i + 15 = 8, i + 20 = 5*s for s. 3 Solve 3 = 405*o - 407*o - 15, 0 = 2*j - 5*o - 51 for j. 3 Solve -5*b + 4 = 3*f, 86 - 92 = 3*b - f for b. -1 Solve 2*w - 6 = -88*t + 90*t, 0 = 13*w - t - 39 for w. 3 Solve -5*i - 103 = -11*c, 310*i - 4*c + 32 = 310*i for i. -3 Solve -3*h + 11*r = 52, -3*h - 572*r + 573*r - 2 = 0 for h. 1 Solve -f = 3*k - 19, f + 27*k - 20 = 25*k - 9 for f. -5 Solve 4*c - 2*n - 8 + 34 = 0, 8 = 19*n - 125 for c. -3 Solve -3*k - 5 = 3723*q - 3724*q, 2*q = 4*k + 4 for q. -4 Solve 0 = 6*d - 9*d - 4*w + 1, 2*w = 5*d - 19 for d. 3 Solve -58 = -4*w - 5*o, -378*o + 373*o - 26 = -3*w for w. 12 Solve q + 53 = 3*b + 46, 2*q + 5*b = -3 for q. -4 Solve 0 = 5*o - 3*u + 5, 21*o - 18*o - 4*u + 3 = 0 for o. -1 Solve a = n + 23 - 29, -5*a = -2*n + 24 for n. 2 Solve 17 = -17*o + 5*c + 66, -3*c = 4*o + 3 - 2 for o. 2 Solve h = 5*x + 6, 3*x = -30*h + 28*h + 12 for x. 0 Solve -3*c = 3*p, 4*p + 99 - 71 = 3*c for c. 4 Solve 5 = -r + m, -3551*r = -3550*r - 2*m + 8 for r. -2 Solve -4*v - 68 = -5*o, 3*v + 2*o + 96 = 45 for v. -17 Solve -2*q + 12 = -2*a, 282*a = -4*q + 280*a for q. 2 Solve 10 = 4*s - 6*x, 16*s - 15*s - 5*x = 6 for s. 1 Solve -3*r + 16 = 3*l + 10, 5*l + 2 = -2*r for l. -2 Solve 5*k + 1616*x - 4 = 1615*x, -4*k - 5*x = -20 for k. 0 Solve -68*d = -64*d - 4*x, 2*x = -3*d for d. 0 Solve 0 = -b - 4*h + 6, 2 = 2*b + 16*h - 18*h for b. 2 Solve 3*d + 4*s = 4, 2*s - 13*s = -15*s + 16 for d. -4 Solve -1 = 4*s - 4*y - 5, -23 = -3*s - 2*y for s. 5 Solve -19*a + 6 = -4*h - 30*a + 9*a, -5 = -5*a for h. -2 Solve -17*v - j - 3 = -20*v, -j + 4 = 4*v for v. 1 Solve 4*z - 66 = 4*p - 38, -3*z = p - 5 for z. 3 Solve -4*k - 20 = 0, 4*m + 43*k - 48*k - 25 = 0 for m. 0 Solve -8*r = 5*y - 8 + 6, 3*y + 2*r - 8 = 4*r for y. 2 Solve 1279*g + l - 12 = 1274*g, -3*g - 4*l = -14 for g. 2 Solve 5 = -887*g + 892*g + 5*t, 0 = -6*g - 5*t + 2 for g. -3 Solve 0 = -3*a + 3, 4*a + 130 - 130 = s for s. 4 Solve 5*t + 1411*n - 1415*n - 16 = 0, -n - 15 = -4*t for t. 4 Solve -3*p - 637*m = -632*m - 13, 2*p - 12 = -4*m for p. -4 Solve 0 = -4*j - 10*x + 8*x + 8, -11*x = -12*x - 2 for j. 3 Solve 69*z - 71*z + 5*b - 5 = 0, -4*b = -4*z - 16 for z. -5 Solve k = -0*o + 2*o - 9, -8*o + 57 = -296*k + 299*k for k. 3 Solve 5*k = 5*i - 40, -8*i + 228 = 196 for k. -4 Solve 0 = n + 2*t + 13, -53 = -7*n - 884*t + 886*t for n. 5 Solve 0 = -a + r - 4, -6*a = -5*a - 4*r + 7 for a. -3 Solve -95*v = -91*v - 2*u + 24, 5*u - 73 = -3*v for v. 1 Solve 16*y = -3*o + 90, -559*o + 556*o - 18 = -2*y for y. 6 Solve 4*b - 4 = 0, 5*w + 11 = -1846*b + 1847*b for w. -2 Solve n - 4 = -683*f + 679*f, 2*n + 6 = -f for n. -4 Solve -4*t = -3*g - 20 + 4, 0 = 3*t - g + 3 for t. -5 Solve -4*l + 158 - 142 = -4*b, 11 = l - 2*b for l. -3 Solve 0 = x + 5*h - 1, 307 = 3*x - 5*h + 304 for x. 1 Solve 422*b - 80 = 438*b + 2*f, 2*f + 50 = -b for b. -2 Solve -y + 5*m + 0 - 5 = 0, 0 = 3*y - 2*m - 11 for y. 5 Solve 0 = -1554*d + 1554*d - 5*n - 25, -44*d = -5*n - 245 for d. 5 Solve -4*m - 25 = 5*d, -2019*d = -3*m - 2014*d - 10 for m. -5 Solve -38*h + 39*h + 4 = 0, 28 = -0*u - 2*u - 9*h for u. 4 Solve r + 33 = -45*a + 49*a, -4*r = a + 13 for a. 7 Solve 0 = 7*s - 4*w - 14, 0 = -5*s + 10*w - 7*w + 10 for s. 2 So
{ "pile_set_name": "DM Mathematics" }
36 Solve -55*k - 1244 - 2169 = -917 + 419 for k. -53 Solve 253635*b - 253716*b = -4374 for b. 54 Solve 212*h = -27698 + 40842 for h. 62 Solve -27*p - 478 - 97 = -143 for p. -16 Solve -941374 = 10710*p - 73864 for p. -81 Solve 36*q + 63506 = 193*q + 64605 for q. -7 Solve 217*q + 312*q = 171*q - 4296 for q. -12 Solve -7794*w = -178121 + 6653 for w. 22 Solve 1675589 - 471313 = 32548*c for c. 37 Solve 35917 = -3791*k + 89544 + 94222 for k. 39 Solve -2208 = 129865*k - 129796*k for k. -32 Solve 722*v - 1508*v = 951*v + 52110 for v. -30 Solve -199147*o + 199250*o + 11639 = 0 for o. -113 Solve -2357*h + 964*h + 25220 = -908*h for h. 52 Solve -13856 = 372*i + 6*i + 10691 - 2623 for i. -58 Solve 60*m + 5040 = -221*m - 269*m + 30340 for m. 46 Solve 2508 = -519*q - 3201 for q. -11 Solve -159*m - 21 - 1581 = 6030 for m. -48 Solve -430*b + 4782 = 19832 for b. -35 Solve -6392 + 6635 = 27*s for s. 9 Solve -1020 = -5525*m + 5729*m for m. -5 Solve 0 = 20675*j + 2517*j - 904488 for j. 39 Solve 1957*h + 59469 + 727 = -10256 for h. -36 Solve 39957 - 12765 = -305*n - 592*n + 279*n for n. -44 Solve 39*o + 8*o + 1660 = -86*o - 33*o for o. -10 Solve 0 = -40*p - 260 - 214 - 246 for p. -18 Solve -27*s + 0*s - 18*s = 15*s + 5400 for s. -90 Solve 692*m - 104*m + 59540 = -328*m for m. -65 Solve -14755 = -730*f + 25376 + 35059 for f. 103 Solve -48350*u - 34986 = -47517*u for u. -42 Solve -335*l + 122290 = -347*l - 1735*l for l. -70 Solve 14549*f - 10794 = 13054*f - 131889 for f. -81 Solve 20619 - 20649 = 6*o for o. -5 Solve 449*t - 21*t + 4868 = -8828 for t. -32 Solve -8221*h = -564657 + 178270 for h. 47 Solve 1535*z - 3960 = 27919 + 20311 for z. 34 Solve 990 = 129440*v - 129407*v for v. 30 Solve 125*t - 429 = -4373 - 56 for t. -32 Solve 740*q = 156*q - 37376 for q. -64 Solve 18219 + 4738 = 1105*y - 20584 - 13919 for y. 52 Solve 0 = 195*c + 5900*c + 371795 for c. -61 Solve 1578*x + 6522*x - 21810 + 434910 = 0 for x. -51 Solve 81*i = -55265 + 50243 for i. -62 Solve -909*r + 16072 - 21337 - 22316 - 29686 = 0 for r. -63 Solve 870968 = 21199*r + 195866 - 1911176 for r. 122 Solve -10652*j = -792*j - 305660 for j. 31 Solve 42186 = -5894*g + 490130 for g. 76 Solve 1608*j - 967*j - 149158 = -2997*j for j. 41 Solve 7553*a = 7590*a + 999 for a. -27 Solve 57*o - 20*o = 20*o + 51*o + 952 for o. -28 Solve 203*o = 648*o + 32040 for o. -72 Solve -1589*i + 147546 = -266*i + 943*i + 76*i for i. 63 Solve -1117*q + 2043*q = -1259*q + 67735 for q. 31 Solve 941*s + 15546 + 2208 = 29556 + 30543 for s. 45 Solve 1516*z + 88500 = -22402 + 3266 for z. -71 Solve 857*u + 1599 = 816*u for u. -39 Solve -8366 = 240*s - 4761 + 7675 for s. -47 Solve -13771 - 14163 = -870*g - 8949 + 10595 for g. 34 Solve 170*w + 99633202 = 99630142 for w. -18 Solve 139*o - 13155 = 1016*o for o. -15 Solve -41*r + 20*r + 195 = -14*r + 6*r for r. 15 Solve -928*z + 17*z - 202*z = 25599 for z. -23 Solve -2956*l = 588*l + 50823 + 36288 - 9143 for l. -22 Solve -8494*b = 258*b + 35008 for b. -4 Solve -52378 - 12582 = 1856*z for z. -35 Solve -49*m - 414*m = -19909 for m. 43 Solve 299*s - 107*s = 59*s + 2394 for s. 18 Solve -268*h + 15920 = -127*h + 257*h for h. 40 Solve -8104 - 9654 - 2942 = -2454*k + 6294 for k. 11 Solve 0 = -809*b - 5144 + 35077 for b. 37 Solve 121*k - 54*k + 2650 = 17*k for k. -53 Solve 107 = -947*g - 840 for g. -1 Solve -744 = 100*b - 4918 + 1274 for b. 29 Solve 21429 + 16665 = 781*w - 15014 for w. 68 Solve 1362*b = 589*b + 486*b - 2583 for b. -9 Solve 6780*v + 6352*v - 12840*v - 12848 = 0 for v. 44 Solve -9445*z + 7313*z = -123791 + 32115 for z. 43 Solve -213*c - 9907 + 3579 - 10073 = 0 for c. -77 Solve -77*i - 1671 = 2410 for i. -53 Solve 0 = -1285*n - 190*n + 1489 - 16239 for n. -10 Solve -2033*y + 1297*y = -45632 for y. 62 Solve 3522 + 5211 = 959*b - 3734 for b. 13 Solve 206*z - 4333 + 416 = 8416 - 2857 for z. 46 Solve 0 = 309*m + 641788 - 633445 for m. -27 Solve -60*u = 13*u - 11265 + 5571 for u. 78 Solve -341167 + 341727 = -80*o for o. -7 Solve 78*l - 59*l = -155*l + 6090 for l. 35 Solve 52709 + 104956 = 3741*d + 37415 - 126656 for d. 66 Solve 1382*b = 1540*b - 915*b - 93868 for b. -124 Solve 368 - 85 = -24*t - 101 for t. -16 Solve 106*v + 176*v = -4916 - 161 - 9023 for v. -50 Solve -4980*x - 714*x = -103*x - 429*x - 46458 for x. 9 Solve -493*f = -2086*f for f. 0 Solve -68*z - 163*z + 3704 = -8308 for z. 52 Solve -14412*b + 14553*b - 987 = 0 for b. 7 Solve -682713*f + 682744*f - 2866 = 575 for f. 111 Solve 2006*u - 84909 - 35239 + 33890 = 0 for u. 43 Solve -160*n + 412*n = 1234*n + 743*n - 82800 for n. 48 Solve 0 = -69*w - 2864 - 862 for w. -54 Solve 1861*b = -96405 - 21375 - 19934 for b. -74 Solve 117*h - 7658 = 598*h + 484*h + 129*h for h. -7 Solve 0 = 197*z + 2837 + 1092 - 909 + 3875 for z. -35 Solve 30*g - 44*g + 1674 = 265*g for g. 6 Solve 0 = 791*g - 1239*g + 20608 for g. 46 Solve 2105*m = 341392 - 122472 for m. 104 Solve -7*m = -12764 + 12610 for m. 22 Solve -227*k - 147 - 14 + 1239 = -284 for k. 6 Solve -2684*c = 961*c - 233280 for c. 64 Solve -7*m + 68*m + 6670 = -54*m for m. -58 Solve -58268 = -29*v + 58428 - 116319 for v. 13 Solve 459 = 12275*n - 12258*n for n. 27 Solve 188*u + 166 = -981 - 724 + 179 for u. -9 Solve -4597*r = 44223 + 36576 + 24797 + 50702 for r. -34 Solve -11*q = -19*q - 2*q - 14*q + 1008 for q. 42 Solve -4913*n + 1716*n + 438657 = 2812*n for n. 73 Solve 4795*s + 11988 = 155838 for s. 30 Solve -1233 = 82*d + 185*d + 4585 + 3794 for d. -36 Solve -2294*r = 24814 + 57770 for r. -36 Solve 228*s - 12816 = -573*s for s. 16 Solve -1406 = -57*w - 273 + 184 + 1305 for w. 46 Solve 38*d + 771 = -123*d + 3997 + 2248 for d. 34 Solve -23164300*w = -23164364*w + 1024 for w. 16 Solve 9*i + 821 = 14*i - 29*i + 197 for i. -26 Solve -2544*g + 39192 + 1306 = -2750 for g. 17 Solve 806 - 1643 = -14*p - 641 for p. 14 Solve 0 = -78918*m + 78879*m - 2184 for m. -56 Solve -819 = 57*t - 1185 - 1116 for t. 26 Solve 0 = 296*q - 4083 + 9411 for q. -18 Solve -856*d - 1164*d - 28078 - 18 - 6244 = 0 for d. -17 Solve 4331*v + 1199 = 44509 for v. 10 Solve 862*i - 27298 = -9196 for i. 21 Solve 45224 = 823*y - 2287*y + 84047 + 66585 for y. 72 Solve -82*n = 2224 + 5234 + 2887 - 5753 for n. -56 Solve 1456*q - 100588 = -126796 for q. -18 Solve -248*h + 10187 - 426 + 40257 = 314*h for h. 89 Solve 1344*a - 135251 = 4416*a - 75650 + 149295 for a. -68 Solve 0 = -3039*j + 1938*j - 41838 for j. -38 Solve -478*u + 12590 = 162 for u. 26 Solve -3811*b - 23239 - 49170 = 0 for b. -19 Solve -1957 - 3008 = 15*j - 6075 for j. 74 Solve -63*o = -290*o - 191243 + 199188 for o. 35 Solve 24*a - 1729 = -21*a + 553 + 778 for a. 68 Solve 1486*k = 1649*k - 2608 for k. 16 Solve 19 = -3881*t + 4274*t + 28708 for t. -73 Solve 92*z = 1025 + 2379 for z. 37 Solve 21*i - 46571 = -47726 for i. -55 Solve -22624*b + 303003 = -5793*b - 589040 for b. 53 Solve 0 = -101*m + 11*m - 151*m + 7398 - 409 for m. 29 Solve 6042*u - 5714*u + 21976 = 0 for u. -67 Solve 21*a + 484 + 12 = -116 + 45 for a. -27 Solve 122*m - 1120 = 63*m - 101*m for m. 7 Solve 985*z + 543*z + 164*z - 2682 - 9162 = 0 for z. 7 Solve -2959 + 15019 = -804*y for y. -15 Solve -4790 = -i - 50*i + 4012 - 7884 for i. 18 Solve 5338 = 74*g + 6744 for g. -19 Solve 10*f = -25*f + 82 - 51 - 1046 for f. -29 Solve -43*u + 139*u + 215*u - 9091 - 3349 = 0 for u. 40 Solve -72*g - 1302 + 1103 = 517 + 1300 for g. -28 Solve -284*j - 1852 = -211*j + 2131 + 1346 for j. -73 Solve -57037 = -529*i - 46457 for i. 20 Solve 1635 + 114 = 55*y - 66 for y. 33 Solve -352*z - 24596 = -170*z + 291*z for z. -52 Solve 1043*f - 704*f - 11360 + 10955 = -22440 for f. -65 Solve 112159*u - 112279*u - 9720 = 0 for u. -81 Solve 160*z - 3611 = -105*z + 3279 for z. 26 Solve -8053 + 838 - 2297 = -231*v + 2731 for v. 53 Solve 43*d + 1820 + 335 = 75 - 1059 for d. -73 Solve -712*w = -3*w - 5499 - 12226 for w. 25 Solve -22147 = -909*x + 9562 + 14650 for x. 51 Solve 69*q + 372 = 179*q - 405 - 103 for q. 8 Solve 564*b = -258*b - 1793*b - 169975 for b. -65 Solve -72517 - 26939 = -2688*s for s. 37 Solve -3499 = -66*n - 2641 for n. 13 Solve -709*s + 997*s = -10474 - 6028 + 2966 for s. -47 Solve -615*f + 375 + 908 - 300 = -1477 for f. 4 Solve 1562*u = 3202*u - 1507*u - 9177 for u. 69 Solve -42*f = 637*f + 18006 + 26129 for f. -65 Solve
{ "pile_set_name": "DM Mathematics" }
b) 4 (c) -0.2 (d) -0.5 (e) -2/19 d What is the closest to -0.02544 in 5, 0.3, -6, -1/4? -1/4 Which is the nearest to -3? (a) -0.4 (b) -3.4 (c) 0.033 b Which is the nearest to -124/189? (a) -0.1 (b) 0.5 (c) 3/4 (d) -0.2 (e) -6 d Which is the closest to -2? (a) -2.03 (b) 1/2 (c) 4 a What is the closest to -1 in -0.1, -0.3, 2/147, 1840, -4? -0.3 Which is the closest to -39/10? (a) -0.3 (b) -0.2 (c) -14 a Which is the closest to -2? (a) 0.7 (b) 0 (c) -5 (d) 3/5 (e) -13.8 b Which is the closest to -2/13? (a) -3 (b) 0.5 (c) 0.4 (d) -2.17 c What is the nearest to -47/3 in -0.4, 3/5, 12, 2/11? -0.4 Which is the closest to 0.088? (a) 0.5 (b) 0.09 (c) 4 (d) 2/3 (e) 112 b Which is the nearest to 19/11? (a) -3 (b) -4 (c) 2 (d) 9 (e) -0.02 c What is the nearest to 2/5 in 80, -2, 1? 1 Which is the nearest to 0.2? (a) -0.0138 (b) 0 (c) 0.022 (d) -4 c What is the closest to 28 in 1/11, 0.4, -4, 10? 10 What is the closest to -0.1 in -5, 2/15, 17.48, -2/3, 1/2? 2/15 What is the closest to 2 in 0.2, -4, -0.9, -2/3? 0.2 What is the closest to -3 in 3, 0.1, -4.3, 2, 0.2? -4.3 Which is the closest to -1.1? (a) -12 (b) 3/47 (c) 2/3 (d) -6/5 d Which is the nearest to 12? (a) 0.4 (b) -1/4 (c) -4 (d) -7909 (e) 3/5 e What is the nearest to 1/3 in 40, -1/8, 3/5, -3/13, -0.4? 3/5 What is the closest to -114 in 0.05, 1, 0.3, -4/7, 120? -4/7 Which is the closest to -0.3? (a) 0.3 (b) -18 (c) -23 (d) -1/3 (e) 1/3 d Which is the closest to 1208? (a) 5 (b) 8/15 (c) 0 (d) 0.5 a Which is the closest to -0.4? (a) -0.3 (b) 46377 (c) 0.5 (d) 0.2 a Which is the closest to 0.05? (a) 0.2 (b) 14/3 (c) -0.01 (d) 4 (e) 0.3 c What is the nearest to 1645.1 in 1/4, 0, 0.2, 4? 4 What is the nearest to 1/4 in -1, -2166, -2/3? -2/3 Which is the nearest to 1? (a) -1/8 (b) -2 (c) -161 (d) -0.14 a Which is the nearest to 1? (a) 2 (b) 24 (c) -1 (d) 12 a Which is the nearest to 94? (a) -0.2 (b) 0 (c) 26 (d) -0.01 c What is the closest to 2 in 193/4, 25, -1.2, 2, 0.2? 2 Which is the closest to -0.1? (a) -88 (b) -0.4 (c) 4 (d) 0 d Which is the nearest to 2? (a) 92 (b) 0.05 (c) 1/5 c Which is the nearest to 1? (a) 3 (b) 1 (c) -3.56 (d) -1/4 (e) -3/4 b What is the nearest to -38 in -2/3, 0, 3/5? -2/3 What is the nearest to 1 in 209, -4/7, 3, 0.8? 0.8 What is the closest to 25 in -1/2, 1/3, 0.07, -5, 5/4? 5/4 Which is the nearest to 0.1? (a) 1 (b) 2/9 (c) 1553 (d) -3 (e) 0.5 b What is the nearest to 1 in 0.5, -43, -299, -1? 0.5 Which is the closest to -0.2? (a) -1 (b) 4/3 (c) -3 (d) -0.9 d Which is the nearest to -1? (a) -2 (b) 4 (c) 5821 (d) -1 d What is the closest to 1 in -2/15, 2890, 0.4, 1/6? 0.4 Which is the nearest to 30.4? (a) -2 (b) -1/4 (c) 0.5 (d) 0 c Which is the closest to 1? (a) -21/38 (b) -0.4 (c) 5 (d) -4 b Which is the closest to 2/5? (a) 1 (b) 1/5 (c) -2/3 (d) 0.27 d Which is the closest to -0.1? (a) 14 (b) -7 (c) 31 (d) -2/5 d Which is the closest to 13? (a) 4/15 (b) 8 (c) 10 (d) 2/3 c Which is the closest to -23? (a) -0.5 (b) -33.6 (c) 2/9 b What is the closest to -3/472 in 5, -0.56, 0.4, 0? 0 Which is the closest to 0.2? (a) -9/8 (b) 470 (c) 1/6 c Which is the closest to -0.5? (a) -5 (b) 7.9 (c) 20 a What is the closest to 1 in -2, 3, 5, 36/55? 36/55 What is the nearest to 10/7 in 506, 1, 0.5, 2/11? 1 What is the closest to 0 in 2/5, 13/54, -2/3? 13/54 Which is the closest to -0.2? (a) -5.082 (b) 4 (c) 0 c Which is the nearest to 4.6? (a) 1/5 (b) 0.05 (c) -0.53 a Which is the nearest to 1/3? (a) -6 (b) 209 (c) 4 c Which is the closest to -41? (a) -1 (b) 0.3 (c) -3 (d) -0.25 (e) 5 c What is the nearest to 4.6248 in 0, -1, 4? 4 Which is the closest to 0.2? (a) -2/3 (b) -0.156 (c) -3/4 (d) 5 b Which is the nearest to 0.1? (a) -0.1 (b) -20458 (c) 2/9 c Which is the nearest to -1/25? (a) 3/7 (b) 0 (c) -2 (d) 11/10 b Which is the closest to -2/5? (a) 3 (b) 0.4 (c) -5/18 (d) 1/18 (e) -0.08 c Which is the nearest to -1/2? (a) 46/17 (b) 2/9 (c) -0.2 (d) 12 c Which is the nearest to -1? (a) -175 (b) -6 (c) 3 (d) -0.4 d What is the closest to 0.02 in -15, -0.1742, -3/8? -0.1742 Which is the closest to 3? (a) -592 (b) -5 (c) -1 (d) -0.5 (e) 1 e What is the nearest to 0 in -1.2, 3/7, -758, -2? 3/7 What is the closest to 0.015 in 5, -0.1, 2, -1? -0.1 Which is the nearest to 467? (a) -1 (b) 0.3 (c) 4 c Which is the closest to 0.05? (a) -5 (b) -6 (c) -12 (d) 2 d What is the closest to -1/3 in 222, 0.3, -21, 1? 0.3 What is the closest to -15713 in -5, -1/4, -1? -5 Which is the closest to -0.31? (a) -559 (b) 5 (c) -2/9 c What is the nearest to -1 in -0.9, -0.3, -1, 27? -1 What is the closest to 0.03 in 0, -54, -1, 4? 0 What is the closest to 8 in 1/6, 3/13, 5/2? 5/2 Which is the nearest to -1? (a) -2201 (b) -3 (c) -7 b Which is the closest to 1? (a) 1.7 (b) 5 (c) -9 (d) -6/7 a Which is the closest to 0? (a) 135 (b) -0.1 (c) 1.9 b Which is the nearest to -0.2? (a) -1342 (b) 19 (c) 4 c Which is the nearest to 0.1? (a) 0.32 (b) -1 (c) -961 a Which is the nearest to -867? (a) -2 (b) 6 (c) -5 c Which is the nearest to 10/3? (a) 1 (b) 0.01 (c) -0.03 a What is the nearest to -19 in 1/4, -0.2, -15.5? -15.5 What is the closest to 8 in 6, -5, -3/2, 0.2, 5.45? 6 Which is the closest to -23? (a) -2/7 (b) 0 (c) 6/29 a What is the closest to 74636 in -4/3, -0.5, -1/3? -1/3 Which is the nearest to 25? (a) 4 (b) 5/2 (c) 2/21 (d) 1 a What is the closest to -5/28 in -3/5, 2, -3.66? -3/5 What is the closest to 0 in -9417, 0.4, 3, -5? 0.4 What is the closest to 1.1 in 0, 2, -2/3, -7, -17? 2 What is the closest to -0.1 in -0.05, 2904, -4, 4? -0.05 What is the nearest to 0.1 in 146, -9/7, 3/2? -9/7 Which is the nearest to 0.143? (a) 0 (b) -2 (c) 0.5 a What is the nearest to 1/8 in 2/3, -1/11, -8? -1/11 Which is the nearest to 3? (a) -0.4 (b) 3 (c) -7/2 (d) -35 b Which is the closest to -668? (a) 18 (b) -3 (c) -1 (d) 3 b Which is the closest to -12? (a) -0.5 (b) -35 (c) -3 (d) -4/7 c What is the closest to -1 in -1, 1, 4, -5, -6648? -1 Which is the nearest to 2/17367? (a) -2/7 (b) -3/10 (c) 2/7 c What is the closest to -2 in 3, 472, 0.37? 0.37 What is the closest to -2/5 in -5, -1/68, -4, 1, 14/13? -1/68 What is the nearest to 3 in -9/8, 0.1, 58? 0.1 What is the nearest to 1.1 in -5678, 4, -0.5? -0.5 What is the nearest to 0 in 0, 3, 6/5, 39, -1/2? 0 What is the closest to 1/5 in 188, -1/4, -0.1, -1, 8? -0.1 What is the nearest to -2/5 in 0.21, -40, 1/4, -7/5? 0.21 What is the closest to 69 in 3.4, 3, -1/6? 3.4 What is the nearest to 35/8 in -12, 4/29, 4? 4 Which is the nearest to 1? (a) 2/17 (b) -0.3 (c) -60 a What is the closest to 0.1 in 2, 96/37, 6/7, 3/7? 3/7 Which is the closest to 2/51? (a) -3/91 (b) -0.1 (c) 2/7 (d) 4/7 a What is the closest to -3 in 4, 0.0355, -3/2? -3/2 What is the nearest to -10 in 0.2, 1/11, 462, -0.2? -0.2 What is the nearest to -0.06 in 2/3, -3, -11? 2/3 Which is the nearest to -0.1? (a) -1 (b) -0.11 (c) -24 (d) -4 (e) 29/3 b What is the nearest to 1 in 2/7, 4, -3/4, 9/10, -58? 9/10 Which is the nearest to -2/7? (a) -14/5 (b) 12 (c) 3 (d) 1.4 d What is the nearest to -2 in 5, 0.1, 108, -1/2, -0.3? -1/2 Which is the nearest to 0.11? (a) -6 (b) -0.1 (c) 1 (d) 0 (e) -5 d What is the closest to 0.1 in -0.3, 1/9, -489/8? 1/9 What is the closest to 350 in -142, 0, 3/4? 3/4 What is the nearest to -2 in 3, 28/41, -6? 28/41 What is the nearest to 4.38 in -3, 2, 2/7? 2 What is the nearest to -18 in -1/4, 5/2, -0.4, -0.51? -0.51 Which is the nearest to 1? (a) -1 (b) -3 (c) 1/5 (d) 4 (e) -3/7 c Which is the nearest to -1.1? (a) -3 (b) 0 (c) 101 b What is the nearest to 0.0781 in 2/11, 0.1, -3, -1/4, -1/2? 0.1 Which is the closest to 2? (a) 25 (b) -0.1 (c) -0.4 (d) -4 b Which is the nearest to -0.0402? (a) 5 (b) 2 (c) -64 b Which is the closest to -1? (a) -0.31 (b) -37 (c) -3 a Which is the nearest to 0.154? (a) -0.1 (b) 4 (c) -3 (d) 3 a Which is the closest to -0.2? (a) -7 (b) -0.325 (c) 0.98 (d) 0.1 b Which is the closest to -8? (a) 217 (b) -0.3 (c) -3 c Which is the closest to -2/9? (a) -1/2 (b) -0.352 (c) -701 b What
{ "pile_set_name": "DM Mathematics" }
What is 15449172 to the power of 1/2, to the nearest integer? 3931 What is the third root of 1015165 to the nearest integer? 101 What is 20784585 to the power of 1/3, to the nearest integer? 275 What is the cube root of 1200841 to the nearest integer? 106 What is 4794554 to the power of 1/2, to the nearest integer? 2190 What is the square root of 1617255 to the nearest integer? 1272 What is 9577575 to the power of 1/9, to the nearest integer? 6 What is 68503 to the power of 1/8, to the nearest integer? 4 What is the tenth root of 19248110 to the nearest integer? 5 What is the square root of 2384887 to the nearest integer? 1544 What is 15144234 to the power of 1/2, to the nearest integer? 3892 What is the square root of 17532107 to the nearest integer? 4187 What is the tenth root of 18504 to the nearest integer? 3 What is 1128793 to the power of 1/6, to the nearest integer? 10 What is 197642 to the power of 1/4, to the nearest integer? 21 What is 268586 to the power of 1/2, to the nearest integer? 518 What is 172032 to the power of 1/3, to the nearest integer? 56 What is the eighth root of 13453873 to the nearest integer? 8 What is the square root of 2378159 to the nearest integer? 1542 What is the cube root of 1304990 to the nearest integer? 109 What is the third root of 103676 to the nearest integer? 47 What is the third root of 247593 to the nearest integer? 63 What is the third root of 1874634 to the nearest integer? 123 What is 1379716 to the power of 1/4, to the nearest integer? 34 What is the eighth root of 1099159 to the nearest integer? 6 What is the seventh root of 719853 to the nearest integer? 7 What is the square root of 1161474 to the nearest integer? 1078 What is the cube root of 3078548 to the nearest integer? 145 What is the square root of 20497254 to the nearest integer? 4527 What is 29724 to the power of 1/2, to the nearest integer? 172 What is 226753 to the power of 1/2, to the nearest integer? 476 What is 85176 to the power of 1/7, to the nearest integer? 5 What is the sixth root of 1685487 to the nearest integer? 11 What is the cube root of 24760102 to the nearest integer? 291 What is 16799624 to the power of 1/7, to the nearest integer? 11 What is the square root of 1611293 to the nearest integer? 1269 What is 2308820 to the power of 1/2, to the nearest integer? 1519 What is the seventh root of 148884 to the nearest integer? 5 What is 149937 to the power of 1/7, to the nearest integer? 5 What is the square root of 25636364 to the nearest integer? 5063 What is the third root of 3274523 to the nearest integer? 148 What is the square root of 14690202 to the nearest integer? 3833 What is the cube root of 4984729 to the nearest integer? 171 What is the third root of 56493 to the nearest integer? 38 What is the third root of 425039 to the nearest integer? 75 What is the cube root of 28448 to the nearest integer? 31 What is the tenth root of 2527292 to the nearest integer? 4 What is the cube root of 20146630 to the nearest integer? 272 What is the sixth root of 206620 to the nearest integer? 8 What is the cube root of 145127 to the nearest integer? 53 What is the third root of 1159927 to the nearest integer? 105 What is the cube root of 2244792 to the nearest integer? 131 What is 1551383 to the power of 1/3, to the nearest integer? 116 What is 915242 to the power of 1/2, to the nearest integer? 957 What is 16682644 to the power of 1/2, to the nearest integer? 4084 What is the square root of 17336124 to the nearest integer? 4164 What is 47310 to the power of 1/9, to the nearest integer? 3 What is 1056273 to the power of 1/4, to the nearest integer? 32 What is the third root of 7463409 to the nearest integer? 195 What is the third root of 4382771 to the nearest integer? 164 What is the eighth root of 134049 to the nearest integer? 4 What is 23573086 to the power of 1/2, to the nearest integer? 4855 What is 7893 to the power of 1/10, to the nearest integer? 2 What is the ninth root of 254762 to the nearest integer? 4 What is 891405 to the power of 1/4, to the nearest integer? 31 What is the square root of 751183 to the nearest integer? 867 What is 1921923 to the power of 1/8, to the nearest integer? 6 What is 158390 to the power of 1/2, to the nearest integer? 398 What is the fifth root of 6078323 to the nearest integer? 23 What is the square root of 258798 to the nearest integer? 509 What is the third root of 491331 to the nearest integer? 79 What is the third root of 146785 to the nearest integer? 53 What is the cube root of 41457 to the nearest integer? 35 What is the third root of 12816065 to the nearest integer? 234 What is the cube root of 137509 to the nearest integer? 52 What is 96248 to the power of 1/2, to the nearest integer? 310 What is 1193372 to the power of 1/7, to the nearest integer? 7 What is the third root of 74119 to the nearest integer? 42 What is the square root of 86051 to the nearest integer? 293 What is 11928428 to the power of 1/2, to the nearest integer? 3454 What is the ninth root of 135080 to the nearest integer? 4 What is 265484 to the power of 1/4, to the nearest integer? 23 What is the cube root of 2706550 to the nearest integer? 139 What is the third root of 1142383 to the nearest integer? 105 What is the cube root of 1915667 to the nearest integer? 124 What is 34558090 to the power of 1/2, to the nearest integer? 5879 What is the third root of 9286706 to the nearest integer? 210 What is 505411 to the power of 1/3, to the nearest integer? 80 What is 8542549 to the power of 1/5, to the nearest integer? 24 What is the square root of 504512 to the nearest integer? 710 What is the fourth root of 695624 to the nearest integer? 29 What is the square root of 16624 to the nearest integer? 129 What is the cube root of 119170 to the nearest integer? 49 What is 2624050 to the power of 1/4, to the nearest integer? 40 What is the sixth root of 19451909 to the nearest integer? 16 What is the ninth root of 144353 to the nearest integer? 4 What is 140638 to the power of 1/5, to the nearest integer? 11 What is the cube root of 752752 to the nearest integer? 91 What is the tenth root of 591801 to the nearest integer? 4 What is 3907468 to the power of 1/2, to the nearest integer? 1977 What is the square root of 1114783 to the nearest integer? 1056 What is the fourth root of 91947 to the nearest integer? 17 What is the cube root of 686370 to the nearest integer? 88 What is the ninth root of 1741668 to the nearest integer? 5 What is 315736 to the power of 1/6, to the nearest integer? 8 What is 378144 to the power of 1/9, to the nearest integer? 4 What is the fifth root of 1003766 to the nearest integer? 16 What is the cube root of 281039 to the nearest integer? 66 What is 9892651 to the power of 1/2, to the nearest integer? 3145 What is the square root of 339040 to the nearest integer? 582 What is 368913 to the power of 1/7, to the nearest integer? 6 What is 4809133 to the power of 1/2, to the nearest integer? 2193 What is 7066834 to the power of 1/3, to the nearest integer? 192 What is 6224198 to the power of 1/3, to the nearest integer? 184 What is 5129852 to the power of 1/5, to the nearest integer? 22 What is 220826 to the power of 1/3, to the nearest integer? 60 What is the third root of 8136626 to the nearest integer? 201 What is the cube root of 1393663 to the nearest integer? 112 What is the square root of 562434 to the nearest integer? 750 What is 9484493 to the power of 1/8, to the nearest integer? 7 What is the seventh root of 10542539 to the nearest integer? 10 What is 213195 to the power of 1/3, to the nearest integer? 60 What is the third root of 6306 to the nearest integer? 18 What is 6749377 to the power of 1/2, to the nearest integer? 2598 What is 900563 to the power of 1/3, to the nearest integer? 97 What is the square root of 3224365 to the nearest integer? 1796 What is the tenth root of 1747977 to the nearest integer? 4 What is 32900790 to the power of 1/2, to the nearest integer? 5736 What is the square root of 1245990 to the nearest integer? 1116 What is 2727106 to the power of 1/2, to the nearest integer? 1651 What is the square root of 213961 to the nearest integer? 463 What is the seventh r
{ "pile_set_name": "DM Mathematics" }
ive h. 3 Express -4*c + 0*c + 3*c + (-5*c + 2*c + c)*(4 - 2 - 4) + 2*c - 4*c + c - 2*c - 3*c + 4*c as x + j*c and give j. 1 Rearrange (14*h**2 - 8*h**3 - 14*h**2 - 1)*(3 + 1 - 3) to s*h**3 + k*h + p + l*h**2 and give p. -1 Rearrange (4 - 4 + y**2)*(4*y - y - y)*(0*y - 2*y + 4*y) to r*y**4 + o*y + t + x*y**3 + b*y**2 and give r. 4 Express -2 - r**3 - 4*r**3 + r - r as o*r**3 + s*r**2 + d*r + p and give o. -5 Express -38*l + 24*l + 27*l as u + k*l and give k. 13 Rearrange (0 + 0 + g)*((0 + 0 - 1)*(-g**2 + 2*g**2 - 4*g**2) + 0*g - 2*g**2 + 0*g + g**2 + 2 + 0 - 3*g**2) to h*g + a*g**2 + f*g**3 + k and give k. 0 Express (3 - 3 + 1)*(0*y**2 + 0*y**2 - y**2) + 3 - 3*y**2 - 3 + (4*y + 2*y - 4*y)*(3*y + 3*y - 3*y) in the form j*y + v + m*y**2 and give m. 2 Rearrange 18*j**2 - 4*j + 4*j + 0*j to the form s*j**2 + m*j + y and give s. 18 Rearrange (37 + 8 - 18)*(2*h + h - h) to the form k + j*h and give j. 54 Express (-a - 3*a + a + (2*a - 6*a + 2*a)*(-2 - 2 + 6) + a - 7*a + 4*a)*(-3*a - 2*a + 6*a) as j*a + i + w*a**2 and give w. -9 Rearrange (6 - 8 + 9)*(4*z - 4*z - 2*z**2 + 1) to the form n*z**2 + r + k*z and give n. -14 Express -p - 9*p + 0*p - 3*p in the form t + h*p and give h. -13 Express 1 - 4*t**4 + 27*t**3 - 53*t**3 - t**2 + 26*t**3 in the form j*t**3 + n*t**4 + b*t + z*t**2 + v and give n. -4 Express (-17*p + 28 - 28)*(-p + p - p) as i + r*p**2 + j*p and give r. 17 Express -2*j**2 + 2*j**3 + 15*j**4 - 16*j**4 + 2*j**3 as o*j + x*j**3 + u*j**2 + r + z*j**4 and give u. -2 Express p**2 + 1 + 14*p**2 - 1 in the form g*p + d + u*p**2 and give u. 15 Rearrange 3*k**2 - 359*k + 357*k + 3*k**2 + 0*k**2 to the form h*k**2 + c*k + r and give c. -2 Rearrange (j**2 - j**2 - 2*j**4)*(-65 - 5 + 24) to the form u + h*j**3 + y*j**2 + t*j**4 + v*j and give t. 92 Rearrange 10*p - 5*p + 5*p + 2 + 4*p to f + o*p and give f. 2 Express (39 - 19 + 41)*(-1 + 1 + l**2) as y*l**2 + q + d*l and give y. 61 Express (-38*u - 12*u + 18*u)*(2 - 2*u - 2) in the form a + h*u**2 + v*u and give h. 64 Express -21*j - 30*j + 51*j - 16*j**2 in the form n + r*j + y*j**2 and give y. -16 Express (-4 + 4 - 1)*(-4*m**4 - 2*m**4 + 5*m**4) + (-m**3 + 4*m**3 - 5*m**3)*(-4 + 7*m + 4) in the form a + n*m**4 + p*m**3 + d*m**2 + s*m and give d. 0 Express (2*p**2 + 2*p**2 - p**2)*(4 - 4 - 2*p**2) + (2*p**2 + p**2 + 0*p + 3*p)*(-4*p + 4*p - 2*p**2) in the form j*p + f*p**3 + a*p**4 + r + m*p**2 and give m. 0 Rearrange (1 + 1 - 1)*(0*v - v + 0*v + (-3*v + 2*v + 2*v)*(0 + 2 + 0)) to o*v + s and give o. 1 Rearrange 33*o - 4*o + 0*o + 22*o to the form i*o + t and give t. 0 Rearrange -84*t - 8*t**3 + 10*t**3 - 34*t to n*t**2 + d*t + v*t**3 + u and give d. -118 Express 0*s + 0*s - 2*s**2 - 1 + (-1 + 4 - 5)*(9*s - 9*s + 13*s**2) in the form w*s + z + v*s**2 and give v. -28 Express 2 + 7*s + 2 + 3 - 3 as w + d*s and give d. 7 Express -2*n**2 + 7*n**3 - n + 10*n - 9*n as s*n**2 + y*n**3 + i + w*n and give s. -2 Rearrange (-3 + 3 + 2*t)*(-24*t - 1 + 3 + 22*t - 2*t**2) to the form d*t**2 + i*t + a*t**3 + m and give i. 4 Rearrange (3*l - 8*l + l)*(1 + 2 - 1)*(l - 5*l + 2*l)*((0 - 1 - 1)*(-4 + 0 + 3) + 1 - 3 + 4 + 1 + 5 - 4) to x*l**2 + a*l + m and give x. 96 Rearrange 7*g**2 - 13*g**2 + g**3 - 3*g**2 - 12*g**2 to the form t + h*g**3 + y*g + o*g**2 and give h. 1 Express -2 + 2*y**4 + 2*y + 0*y - 2 + 6 in the form o*y**3 + d*y**4 + v*y**2 + z*y + k and give o. 0 Rearrange 3*b**3 - 5*b**4 - 3*b**2 - b**3 - 4*b**2 + 3*b**4 + 1 to the form c*b**3 + f*b**2 + n*b**4 + u*b + o and give f. -7 Rearrange 3*m**2 + m**4 - 5 - m**3 - 10*m**2 + 6*m**2 - 2*m - m**2 to y + a*m**3 + t*m + l*m**4 + r*m**2 and give t. -2 Express (4 + 3*s**2 - 4)*(0*s + 0*s - s)*(-14 + 0 - 3) as z*s**2 + i + g*s + l*s**3 and give l. 51 Express -4*x**2 - 8*x**3 + 6*x**3 - 4 + 2*x**2 + 2 as i*x**3 + b*x**2 + a + c*x and give a. -2 Express 3*y + 3 + 2*y + 14 - 9 as k + h*y and give h. 5 Rearrange 0*a + 1 - 2*a + a + 3*a to the form b + t*a and give t. 2 Express (-6 - 11*t + 4 + 3)*(-1 - 1 + 1)*(1 + 2 - 2) in the form c + l*t and give c. -1 Rearrange -s**4 + s**2 - 3*s**2 + 1 + 1 - 3 - 2*s to t*s + c*s**2 + w*s**3 + i + z*s**4 and give c. -2 Express -4*v + 5*v**3 - 3*v - 9*v**3 in the form c*v**2 + m*v + f*v**3 + t and give m. -7 Rearrange (-3*a**3 - a**3 + a**3)*(-10*a + 3 + 20*a - 1) to the form j*a**3 + x + i*a**2 + q*a**4 + w*a and give q. -30 Rearrange -r**4 + r - 7 - 2*r**2 + 3*r**3 + 3*r**4 - r**3 + 5 to x*r + h*r**2 + v*r**3 + a*r**4 + p and give x. 1 Express (2 - 2 + 1)*(-4*q + 0*q + 5*q)*(4 - 3 - 7)*(2 - 2 + 2) as y + r*q and give r. -12 Rearrange -2 - 14*y - 11*y**2 - 43*y**3 + 42*y**3 + 12*y**2 to j + a*y**3 + d*y + q*y**2 and give d. -14 Rearrange -3*c + 119 - 119 - 10*c**2 to the form o*c + r + n*c**2 and give n. -10 Rearrange (0 - s + 0)*(3 + 2 + 7) to the form l + h*s and give h. -12 Express 30*n**2 + 269 - 269 in the form g + a*n + c*n**2 and give c. 30 Express -2 - 2*l - 14 + 6*l - 5*l as r*l + b and give r. -1 Rearrange (4 - 4 - 2)*(1 + 0 - 5)*(-4*q**4 + 3*q**4 - 8*q**4) to b*q + c*q**3 + t + z*q**2 + x*q**4 and give x. -72 Rearrange 0*l**2 + 6*l**4 + 1 - 2*l**2 - 8*l**4 - 7*l to the form h*l**3 + d + y*l**4 + w*l**2 + r*l and give y. -2 Express 8*p - 6*p - 3*p - 2 - 1 as l*p + m and give m. -3 Rearrange -11*w**3 + 13*w**3 + w + 7 - 20 to y*w + d + u*w**2 + x*w**3 and give d. -13 Rearrange (2*z - 4*z - z)*(2 + 0 + 1)*(-3 + 5 - 3) to h + y*z and give y. 9 Express 3*a + 11*a**2 - a**3 + 0*a**3 - 12*a**2 - a**4 as t*a**2 + h*a**3 + p*a + x + s*a**4 and give h. -1 Express 2*d**2 + 2*d**3 - 6 + 2 + 1 in the form j*d + w*d**2 + u*d**3 + z and give u. 2 Express -7 + 8 + 0*m**3 + m**3 - m - 2*m**4 - 7 in the form w*m**3 + g*m + p*m**2 + t + u*m**4 and give g. -1 Rearrange (5*p + 0*p - 6*p)*(8 - 11 - 8) to a*p + q and give a. 11 Rearrange (-4 + 5*r + 22 - 18)*(5 - 3 - 3) to the form s*r + z and give s. -5 Express -41 + 41 + 3*u as d + s*u and give s. 3 Rearrange (-4*s - 3*s + 5*s)*(6 + 3 - 3 + (5 - 3 - 1)*(3 - 3 - 2)) to y + a*s and give a. -8 Rearrange 3*f**3 + 0*f**3 + 1 - f**4 - f**3 to the form q*f**4 + g*f**2 + p*f**3 + b + u*f and give q. -1 Rearrange -12*b**3 + 2*b**3 + 2*b**3 + b**3 + b + 1 to the form n*b + h*b**3 + t*b**2 + u and give t. 0 Rearrange (2 - 6 + 11)*(2*v**3 - 2*v**3 + 3*v**3)*(-2 - 2*v + 2) to the form k*v + x*v**4 + s*v**3 + b*v**2 + u and give x. -42 Rearrange a - 3 + 2*a**2 - 251*a**3 - 15*a + 250*a**3 to p*a**3 + s + j*a + c*a**2 and give s. -3 Rearrange (7 - 3 - 2)*(-2*m - 2 + 2)*(15*m**3 - m**3 + 3*m**3) to the form t*m**2 + l*m**3 + h*m + q*m**4 + s and give s. 0 Express (2 - 4 + 0)*(-35*s - 12*s**3 + 35*s) - 3*s**2 - 3*s**3 + 3*s**2 - 2*s**2 as g*s**2 + m*s + u*s**3 + a and give g. -2 Express (4 - 7 - 4)*(23*u**2 + 2*u**2 - 5*u**2) in the form s*u + j + d*u**2 and give d. -140 Express 93 + 8*w**2 - 93 in the form t + g*w + h*w**2 and give h. 8 Express -39 + 2*t**4 + 37 - t**2 - t**2 + 4*t**3 as b*t + f*t**4 + g*t**2 + u*t**3 + r and give u. 4 Express (0 + 4 + 0)*(3*b**2 - 3*b**2 - b**2) + 5 - b**2 - 5 - 2*b**2 - 4*b**2 + 5*b**2 - 59 - 10*b**2 + 59 as q*b + t*b**2 + a and give t. -16 Express (-3*j**2 + j**2 + 4*j**2)*(12*j + j + 7*j) as w + t*j**3 + c*j + f*j**2 and give t. 40 Rearrange -3 - 8*u - 14*u + 3 to the form j*u + r and give j. -22 Express (-3*k + 5*k + 0*k)*(83*k + 67*k - 56*k + 79*k) as y*k**2 + d*k + g and give y. 346 Express 7 - 3*b**2 - 8 + 2 - b**4 as i*b**2 + d*b**4 + z + f*b + k*b**3 and give i. -3 Rearrange 4*l - 3*l + l - l + 0 + 0 + (-l + 3*l - 7*l)*(4 + 2 - 3) to the form q*l + v and give q. -14 Rearrange (x**3 - x + x)*(-10*x - 3*x - 3*x) + 4*x**4 - 2*x**4 - 3*x**4 to the form k*x**4 + r + j*x**2 + b*x**3 + c*x and give k. -17 Rearrange -9*p + 6*p - 14*p to m + w*p and give w. -17 Express 0*d + 11*d + 13*d in the form s*d + b and give s. 24 Rearrange -2*l**2 - 2*l**2 + 3*l**2 + (-54*l - 45 + 45)*(-2*l + l - 2*l) to u*l + q*l**2 + o and give q. 161 Rearrange (-25*x**2 + 14*x**2 - 24 + 10*x**2)*(-4*x**2 + 4*x**2 + x**2) - 2*x**4 + 3*x**4 - 3*x**4 to g + p*x + n*x**4 + a*x**3 + r*x**2 and give n. -3 Express (l + 2*l - l)*(4*l - 10*l + 10*l) as y*l**2 + w + v*l and give y. 8 Rearrange -8*n**2 - 11*n**3 - 2*n**4 - 5*n**2 + 12*n**3 to the form p*n**4 + o*n**2 + w*n**3 + x*n + z and give w.
{ "pile_set_name": "DM Mathematics" }
- w*f + 30, -3*s + 5 = -2*f + 18 for s. -1 Suppose x + 19 = 31. Suppose -s = -3*y + 19, 2 = 2*y - s - x. Solve y*d + 4*r = d - 8, 0 = -5*d + r - 10 for d. -2 Let h be 212 - 8/8*(-1 + 0). Let x = h + -207. Solve j + 11 = c - x*c, -3*j - c = 5 for j. -1 Let h be 72/(-8)*(-4)/18. Let p be 31 - (-14 - -34) - (1 - -7). Solve -h*z + 0*z + 5*i = -14, z + 4 = -p*i for z. 2 Let y(r) = -7*r**3 - 2*r - 3. Let n be y(3). Let j = 200 + n. Solve l - 4 = -j*v - 15, -v = 4*l + 9 for v. -5 Let g = -14603 + 14604. Solve -h = g, 2*c + 3*c + 3*h = 2 for c. 1 Suppose -3*g = 5*m + 18, -4*m = -4*g - 3*m + 22. Solve g*b - b - 25 = 5*y, b - 1 = -2*y for b. 5 Let y be (-9)/((0 - (12 + -9))/5). Solve 2*b = 5 + 5, 0 = 4*f - 3*b + y for f. 0 Let f(z) = -z**3 + z**2 - z + 5. Let v be f(0). Let q(i) = 16*i - 31. Let h be q(11). Let x = 148 - h. Solve 2*m + 27 = -v*l, 2*m = -2*l - 15 + x for m. -1 Suppose 5*u = 6*u. Let v(n) = 4 + u - n**2 - 13*n + 0 + 6. Let g be v(-12). Solve y = -5*k + 14, 3*y - g = -y - 3*k for y. 4 Suppose 12 = 2*w + 4*j, -13*w + 10 = -10*w + 2*j. Solve 4*o + 4 = w*h + 5*o, -4*h = o - 10 for h. 3 Suppose -50*g + 520 = 2*g. Suppose 0 = -2*l + 3*v - 15, -3*v = 5*l - 25 + g. Solve 6*x - 3*x - 3 = -3*o, l = -4*o + 5*x - 41 for o. -4 Let s be (-36)/24 - (-4683)/(-6). Let d be 6/27 - s/207. Suppose 9*t - 4*t = 20. Solve d*h = -f - 0 + 17, -t*f = -20 for h. 3 Let s(j) = j**3 + 18*j**2 - 28*j - 10. Let h be s(-20). Let l = h - -254. Solve l*f = -3*m - 10, -f - 3*f + m = 2 for f. -1 Suppose 3*w = 4*f + 6, 21*w = 4*f + 20*w - 6. Solve 35*k - 11 = 31*k + 3*v, -3*v - f = 0 for k. 2 Let g = -19 + 22. Suppose -1 - 7 = b - 4*x, -5*x = g*b - 27. Solve -4*w = b*p + 5 + 19, -2*w = 5*p + 21 for w. -3 Suppose 5*w + 14 = -2*w. Let s be 4 + -7 + (-34 - 0/w). Let y = -32 - s. Solve 2*i + 5 = -5, -r - 24 = y*i for r. 1 Let v(d) = 36*d + 195. Let n(i) = 7*i + 39. Let m(a) = 11*n(a) - 2*v(a). Let t be m(-7). Solve f = -g - 10, t*g - g = 3*f for f. -5 Suppose 0 = -r + 4*v + 12, 20 = 2*r + v - 4. Suppose 252 = 26*l - r*l. Solve -8*o + 3*o + 5*q = 5, -3*q = 2*o - l for o. 3 Let w(n) = -n**2 - 80*n + 908. Let s be w(-90). Solve -25 = 5*q, 4*i = -q + s + 3 for i. 4 Let x(z) = -z**2 + 61*z - 908. Let o be x(35). Solve -6*l - 4*a - 14 = -8*l, 0 = -o*l + 5*a + 16 for l. 3 Let q be 1/(-3) - 280/60. Let s be q/(-45) + (-220)/(-45). Solve -3*n = 3*z + n + 18, 0 = -s*z - n - 13 for z. -2 Suppose -4*s = 5*j - 15, -s + 12 = 28*j - 24*j. Solve 0 = 4*r - 4*u - 12, -5*u - j = -2*r - 4*u for r. 0 Let d be (17 - (-8579)/184) + 6/16. Solve -d = -2*s + 5*h - 84, 0 = -3*s - 2*h - 11 for s. -5 Let k(d) be the first derivative of -5*d**2 - 15*d + 112. Let r be k(-2). Solve 25 = r*j, -2*l - 4*j = -31 + 1 for l. 5 Suppose -23*d + 21 = -44 + 19. Solve q + 2*z = -5, d*q - 2*z = 6*q + 2 for q. 1 Let x = -210 + 212. Suppose 2*q + 38 = g + 54, 3*q = -x*g + 10. Solve -v + 5*s - 18 = 0, 7*s - q = -3*v + 2*s for v. -3 Let m(s) = 5*s**3 - 15*s**2 + 15*s - 1. Let c be (-4)/(-1)*17/68. Let b be m(c). Solve -5*i - 3*w = -8*w - 40, 4*i + 5*w + b = 0 for i. 4 Suppose 25*v - 27 - 31 = -8. Solve -28*j + 37 = -33*j + 2*u, -u - 4 = v*j for j. -5 Let w = -652 - -652. Suppose w = -0*f - 2*f - f. Solve f = 5*t - 25, 2*t - 15 = 5*g - 2*t for g. 1 Let f = 40 + -53. Let m be -2 + 150 + 10 + f. Suppose 113 = -4*j + m. Solve -7*c + 2*c + 19 = -2*i, 4*i = 4*c - j for i. 3 Let p(c) = -5 - 5*c - 349*c**2 + 351*c**2 - c. Let t be p(4). Solve 0 = 4*v - t*v - 2*u - 7, -12 = -3*v + 3*u for v. 1 Suppose -5*w + 42 - 2 = 0. Let z be 13 + (-2)/(-2)*-4. Suppose -2*a - z*a + 4*a = 0. Solve 4*q + 3*t + 13 = a, 3*t - w*t = -5*q - 25 for q. -4 Suppose -4*w - w - 640 = 0. Let v = 128 + w. Solve 3*p = -2*m - v*m - 7, -4*m + 2*p = -26 for m. 4 Suppose -5*i = -3*o - 2 + 3, -5*o - 3*i = -47. Let y be -6 - ((0 - o) + -3). Solve 20 = y*v, 2*s + 0*s = v + 5 for s. 5 Suppose -3*l + 15 = 3*c, -76*c + 5*l + 31 = -74*c. Suppose a = 6*a - 15. Solve 3*j + 4*k = 3, -a*k + c*k - 12 = -j for j. -3 Let y be (-10)/55 - 26/(-22). Let i(j) = 5*j - 1. Let h be i(1). Suppose -p = -3*a - 3, -4*p + 0*a = 5*a - 12. Solve 5*l = -2*q - 2*q - h, -q = p*l + y for q. -1 Suppose 3*m = -11 + 128. Let d = m + -34. Suppose 2*y = d*t - 30, -t + y + y = -14. Solve i - t - 3 = 5*k, -2*i + 6 = -2*k for i. 2 Let h(o) = 689*o + 797. Let d be h(-1). Solve 4*l - s - d = -102, l = s + 3 for l. 1 Let k(a) = -295*a - 3237. Let f be k(-11). Solve 4*d + f = 10*v - 5*v, -3*d - v = 6 for d. -2 Let v(t) = 2*t**2 + 4. Let w be v(-2). Suppose -3*n - 3*k - 12 = -n, 0 = 5*n + 3*k + w. Solve 5*b - f = 23, n = 5*b - b + 4*f - 28 for b. 5 Suppose 55*d - 122 + 10 - 108 = 0. Solve -v = d*b + 23, 62 = -b + 4*v + 69 for b. -5 Let l(d) = 5*d**2 - 1. Let q be l(1). Suppose 1700*i + 3553 = 1909*i. Solve -q*k + 12 = -2*t, k + t - i = -2*t for k. 5 Let t = 82 + -81. Suppose -3*y = 4*z - t, -z = 2*z - y - 17. Solve 5*o = 4*w + 8 - 1, 18 = 3*w + z*o for w. 2 Let d be 0 + -1 + (-20)/(-4). Suppose 0 = -16*o + 289 + 575. Let c be o/(-36) - (-6)/d. Solve c = n + 2*v + 8, 4*v = 5*n + v - 12 for n. 0 Let t = 30 - 44. Let r = t + 15. Suppose 2*a + r = 5. Solve 5*b - 10 = 5*y, 0 = a*b - 7*b + y + 6 for b. 1 Let j = 13547 + -13543. Solve 5*r - 5*f + 17 = 7, j*r + 10 = 3*f for r. -4 Let n(f) = -f**3 + 15*f**2 - 38*f + 176. Let r be n(13). Solve 22*x = 2*v + 27*x + r, -5*x - 20 = -4*v for v. 0 Let v = 23 + -18. Let f = -83 - -87. Let i be -3 + (-4 - -36)/f. Solve i*o = k - 23, -4*o - o - 35 = -v*k for o. -4 Suppose 1512*v = 1515*v - 12. Solve -8*i + 6*i + 20 = -3*o, -o + v = 2*i for i. 4 Let z(n) = -13*n**2 - 48*n - 80. Let p(d) = -3*d**2 - 12*d - 20. Let m(c) = -9*p(c) + 2*z(c). Let b be m(-10). Solve 2*o = 3*k - k - 14, b = 5*k + 2*o for k. 2 Suppose 36 = -53*k + 49*k. Let v = k - -7. Let w be (2 - -1) + v - -4. Solve -2*h - 3*b = h, -w*b - 4 = 4*h for h. 4 Suppose 3*n = -24, -5*r = 2*n + 53 - 57. Solve 0 = 2*o - 12, -5*l - 13*o + r = -9*o for l. -4 Let z = -140 - -153. Suppose z*d - 12*d = 2. Solve 0 = c + 2*c + d*y - 9, y + 12 = 4*c for c. 3 Let f be (-6)/14*6*140/(-180). Solve 4*d - 8 = f*n, 10*d - 13*d + 8 = -n for n. 4 Let z = -9 + 20. Let o = 22864 - 22861. Solve 2*i - 2*b - z = o, 0 = i + 2*b + 2 for i. 4 Let u(v) = v**2 - 103*v + 1094. Let d be u(91). Solve f + 3*x + 4 + 15 = 0, 5*f = -d*x - 30 for f. -4 Suppose -3*t - 4*d - 6 = -0*t, -3*d - 9 = 0. Let x = 11306 + -11306. Solve t*b - 5*r + 5 = 0, -b - r + 3*r - 3 = x for b. -5 Let j be -5 + (-140)/(-6 + 2). Suppose 0 = -33*q + j*q + 6. Solve -4*t = 4*y - 3 - 1, q*t + 4*y + 6 = 0 for t. 5 Let b = -37820 + 37832. Solve 4*v + 12 = 10*y - b*y, -4*y + v = 6 for y. -2 Let l = -385 - -385. Solve 4*y + 4*q + 8 = l, -q - 7 + 1 = 2*y for y. -4 Suppose 12*g - 171 = -7*g. Suppose -16*k + 147 = -g*k. Solve -4*y + 0*y + 21 = 5*b, 4*b = y + k for b. 5 Suppose 5*z + 11*z = -5*z + 28*z. Solve 0 = -m + o, z = 2*o - o + 1 for m. -1 Suppose 0 = -2*d + 13 - 1. Solve -12 = 5*f + 4*k, 196*f = 201*f - 2*k - d for f. 0 Let s = 17 + -5. Suppose 4*z - s = -0. Suppose -2*c = -5*j - 11, -4*c + 0*j = z*j - 9. Solve -3*o = -2*m - 0*m - 2, m + c*o + 1 = 0 for m. -1 Suppose f + 8 + 0 = 0. Let d be 4/f*10/(-1). Suppose 3*i + 5*t = -15, 0 = -i - 5*t - 0 - 25. Solve d*r - 5*c - 30 = 0, 5*c + 24 = i*r + 2*c for r. 3 Let z(r) = 36*r - 718. Let v be z(20). Solve -3*b + 10 = -3*y + v*b, 3*b = 6 for y. 0 Suppose -4*v + 5*b = -22 - 11, 2*v - 4*b = 24. Solve v*f + 6*t - 23 = 11*t, -3*t = 15 for f. -1 Let x = -10519 - -10524. Solve x*i = 15, 0 = 3*z - 6*z + 4*i - 9 for z. 1 Let w(p) = 34 + 14*p + 6*p + p**3 - 77*p**2 + 97*p**2. Let m be w(-19). Solve -4*n - m = -3*i, -4*n + 4*i = -2*n + 20 for n. 0 Suppose 0 = 5*x + 3*q - 28, 2*x = -3*x - 5*q + 20. Let j be 12/x*(-16)/(-6). Let w = -9331 + 9348. Solve 5*y + 2*m + w = 7, 20 = -j*m for y. 0 Suppose -16*f - 39508 = -39524. Solve -z + 2*a = -f, 3*a - 9 + 23 = -z for z. -5 Let x = -1 + 1. Let l(q) = 38*q + 445. Let d be l(-12). Let z be (-100)/(-55) + (-2)/d. Solve x = -z*f + n + 5, f + 3*n = -4*f - 15 for f. 0 Let x be 9/(-6)*(4 + (-16)/3). Suppose 65 = 5*i - 2*p, -x*p + 4*p + 54 = 4*i. Solve 0*b - s + 3 = -2*b, -4*b = -s + i for b. -4 Let k(l) = -12*l + 32. Let o be k(15). Let t be o/(-185) - (1/(-5) - -1). Suppose t = -19*d + 18*d + 4. Solve 0 = -4*f + 5
{ "pile_set_name": "DM Mathematics" }
25/3994728 and -67/102? 3994728 Find the common denominator of -101/280 and -127/7560. 7560 What is the least common multiple of 37736 and 4272? 226416 What is the common denominator of 76/31287 and 37/159? 1658211 Calculate the smallest common multiple of 577020 and 90. 1731060 Calculate the smallest common multiple of 24 and 14553. 116424 Calculate the common denominator of -53/11055 and 4/1139. 187935 Calculate the least common multiple of 25650 and 60. 51300 Calculate the common denominator of -1/3094 and -13/1078. 238238 Calculate the least common multiple of 17108 and 2632. 34216 What is the common denominator of -52/1466883 and -17/49390? 14668830 Calculate the common denominator of -7/23920 and 109/2990. 23920 What is the smallest common multiple of 1520 and 10? 1520 What is the lowest common multiple of 21 and 17486? 52458 Calculate the common denominator of -86/15 and -37/2815254. 14076270 Calculate the least common multiple of 50 and 10785. 107850 Calculate the least common multiple of 7486 and 16. 59888 What is the smallest common multiple of 275452 and 22? 3029972 What is the least common multiple of 30488 and 1924? 396344 Find the common denominator of -5/5518 and -123/40. 110360 Calculate the common denominator of 47/2126254 and -7/2. 2126254 Calculate the least common multiple of 1880 and 1703. 3201640 What is the common denominator of -43/60152 and -81/44? 661672 Calculate the least common multiple of 6152 and 18. 55368 Find the common denominator of 34/63991 and 41/10. 639910 Calculate the least common multiple of 374646 and 8. 1498584 What is the common denominator of -85/22834 and 95/24698? 1210202 Calculate the common denominator of -41/8308 and -73/34131. 9147108 Calculate the least common multiple of 12232 and 8340. 183480 Calculate the least common multiple of 2498 and 424. 529576 What is the least common multiple of 309 and 3870? 398610 Calculate the lowest common multiple of 1170 and 86970. 260910 What is the lowest common multiple of 14700 and 3150? 44100 Find the common denominator of 58/2795 and -109/860. 11180 What is the common denominator of 67/10098 and 9/187? 10098 Calculate the common denominator of -43/189 and 71/948780. 948780 Calculate the common denominator of 119/65712 and 97/666. 197136 What is the least common multiple of 613380 and 210? 4293660 Find the common denominator of -9/6740 and 8/8425. 33700 Calculate the common denominator of -109/886886 and 19/483756. 5321316 What is the lowest common multiple of 10872 and 622? 3381192 Find the common denominator of -85/2380902 and -107/12. 4761804 What is the common denominator of -30/449 and -32/51? 22899 What is the common denominator of 31/2709 and 61/9030? 27090 Calculate the common denominator of -24/173 and 52/51. 8823 Find the common denominator of 91/522 and 151/32412. 2819844 What is the common denominator of 1/1176 and 65/196? 1176 What is the lowest common multiple of 106740 and 74718? 747180 Find the common denominator of 71/2150 and 109/200. 8600 What is the common denominator of 67/160 and -133/314600? 1258400 Calculate the least common multiple of 70 and 3650. 25550 Find the common denominator of -5/808 and 99/7400. 747400 What is the common denominator of -49/8 and 67/18990? 75960 Calculate the common denominator of 125/6942 and 47/1780. 69420 Find the common denominator of 119/10130 and 15/38. 192470 Calculate the lowest common multiple of 2746420 and 55. 30210620 Find the common denominator of 7/17844 and -65/18. 53532 What is the common denominator of 131/211120 and 55/1568? 2955680 What is the least common multiple of 1768 and 8388? 3707496 Calculate the smallest common multiple of 660 and 114510. 229020 Find the common denominator of 23/3440 and 11/944. 202960 What is the common denominator of 111/1960 and -83/3860? 378280 Calculate the lowest common multiple of 49770 and 9. 49770 What is the common denominator of -71/228225 and 55/111? 8444325 Find the common denominator of -29/142 and -65/43022. 3054562 Calculate the common denominator of -103/1163484 and -71/48114. 12798324 What is the common denominator of -17/18410 and 123/70? 18410 Calculate the lowest common multiple of 24900 and 96. 199200 What is the least common multiple of 633294 and 270? 9499410 Calculate the common denominator of 97/3328 and 47/7280. 116480 Calculate the least common multiple of 345 and 7506. 863190 Calculate the common denominator of -59/24 and 3/30412. 182472 Find the common denominator of -62/2757 and 23/11028. 11028 Calculate the least common multiple of 10456 and 3921. 31368 Calculate the least common multiple of 7 and 6413678. 44895746 What is the smallest common multiple of 1425 and 10920? 1037400 What is the lowest common multiple of 51840 and 1440? 51840 Calculate the smallest common multiple of 40 and 17572. 175720 What is the common denominator of 33/190 and 87/3280? 62320 What is the common denominator of -21/503996 and 59/6184? 1007992 Calculate the common denominator of 22/80745 and 47/21. 80745 Calculate the lowest common multiple of 2093 and 78. 12558 What is the lowest common multiple of 3915 and 590? 461970 Calculate the least common multiple of 3660 and 366. 3660 What is the common denominator of -109/276 and 7/1058? 6348 Calculate the smallest common multiple of 2332 and 194722. 389444 Find the common denominator of -109/246492 and -79/2672. 985968 Calculate the common denominator of -151/49290 and 14/155. 49290 Calculate the smallest common multiple of 19418 and 7154. 135926 Calculate the smallest common multiple of 828065 and 63. 7452585 Calculate the smallest common multiple of 12976 and 12976. 12976 What is the lowest common multiple of 19887 and 138? 914802 What is the lowest common multiple of 580282 and 6? 1740846 Calculate the common denominator of 68/9 and 15/105896. 953064 Calculate the least common multiple of 4977 and 2205. 174195 What is the lowest common multiple of 765 and 375955? 3383595 What is the common denominator of 15/16 and 37/124784? 124784 Calculate the least common multiple of 66259 and 1915. 331295 What is the common denominator of 24/30481 and -93/17930? 304810 What is the common denominator of -21/74338 and 69/7502? 817718 What is the smallest common multiple of 570 and 4629? 879510 Calculate the common denominator of 48/2249 and -5/346. 4498 Calculate the least common multiple of 1348 and 4. 1348 Calculate the common denominator of 45/832 and -7/128. 1664 Calculate the lowest common multiple of 824 and 384. 39552 What is the least common multiple of 21 and 23331? 23331 Calculate the common denominator of -59/5 and 67/28010. 28010 Find the common denominator of -68/2433 and -40/1533. 1243263 Calculate the lowest common multiple of 5044 and 3880. 50440 Calculate the least common multiple of 21 and 464607. 3252249 Calculate the least common multiple of 17325 and 5544. 138600 What is the smallest common multiple of 380 and 47880? 47880 Calculate the common denominator of -79/2178 and 44/9. 2178 Calculate the common denominator of 69/110500 and -141/2380. 773500 Calculate the lowest common multiple of 102278 and 22. 102278 What is the smallest common multiple of 1488 and 1116? 4464 Calculate the lowest common multiple of 136 and 2164. 73576 Find the common denominator of 50/513 and -113/1002. 171342 What is the least common multiple of 132 and 37704? 414744 Calculate the least common multiple of 81240 and 67700. 406200 What is the least common multiple of 160 and 20680? 82720 What is the lowest common multiple of 8688 and 18? 26064 What is the common denominator of -95/39098 and 21/4? 78196 Calculate the lowest common multiple of 410 and 3362. 16810 What is the common denominator of 24/35 and 103/2370? 16590 Calculate the least common multiple of 379550 and 60728. 1518200 What is the lowest common multiple of 20200 and 1010? 20200 What is the lowest common multiple of 2432 and 1292? 41344 Calculate the smallest common multiple of 115852 and 16. 463408 What is the common denominator of -65/28116 and 3/164? 1152756 What is the smallest common multiple of 225 and 324350? 2919150 Find the common denominator of 80/273 and -62/158907. 2065791 What is the least common multiple of 187474 and 294602? 2062214 What is
{ "pile_set_name": "DM Mathematics" }
50426 What is the y'th term of -1765, -4438, -7101, -9748, -12373, -14970, -17533, -20056? y**3 - y**2 - 2677*y + 912 What is the i'th term of 17327550, 17327551, 17327552? i + 17327549 What is the z'th term of 3874, 8321, 13502, 19423, 26090, 33509, 41686? z**3 + 361*z**2 + 3357*z + 155 What is the j'th term of -16913, -16428, -15101, -12512, -8241, -1868, 7027, 18864? 70*j**3 + j**2 - 8*j - 16976 What is the l'th term of -42737, -42397, -41829, -41033, -40009, -38757, -37277? 114*l**2 - 2*l - 42849 What is the c'th term of 4480, 9039, 13742, 18589, 23580, 28715? 72*c**2 + 4343*c + 65 What is the p'th term of -1561, -6033, -10527, -15049, -19605? -p**3 - 5*p**2 - 4450*p + 2895 What is the f'th term of -9757, -15706, -21643, -27562, -33457? f**3 - 5956*f - 3802 What is the n'th term of 5665, 5591, 5465, 5281, 5033? -n**3 - 20*n**2 - 7*n + 5693 What is the b'th term of -781477, -1562794, -2343953, -3124954, -3905797, -4686482? 79*b**2 - 781554*b - 2 What is the f'th term of 2849402, 5698816, 8548230, 11397644, 14247058, 17096472? 2849414*f - 12 What is the o'th term of -4557548, -9115098, -13672648, -18230198? -4557550*o + 2 What is the t'th term of 205, 468, 869, 1474, 2349, 3560, 5173? 11*t**3 + 3*t**2 + 177*t + 14 What is the n'th term of -843251, -843256, -843263, -843272, -843283, -843296? -n**2 - 2*n - 843248 What is the r'th term of 150265872, 150265874, 150265876, 150265878, 150265880, 150265882? 2*r + 150265870 What is the o'th term of -795537, -1590549, -2385561, -3180573, -3975585, -4770597? -795012*o - 525 What is the d'th term of 4404, 6336, 8268, 10200? 1932*d + 2472 What is the d'th term of -69531, -139173, -208815, -278457, -348099? -69642*d + 111 What is the u'th term of -11185048, -44740261, -100665616, -178961113, -279626752? -11185071*u**2 + 23 What is the y'th term of -259, -2223, -5509, -10123, -16071, -23359, -31993? -y**3 - 655*y**2 + 8*y + 389 What is the s'th term of -1716, -5343, -10804, -18099, -27228? -917*s**2 - 876*s + 77 What is the n'th term of -3579, -3461, -3223, -2859, -2363, -1729? n**3 + 54*n**2 - 51*n - 3583 What is the t'th term of 183, 1695, 5793, 13767, 26907, 46503, 73845? 215*t**3 + 3*t**2 - 2*t - 33 What is the l'th term of -36875, -147754, -332585, -591368, -924103, -1330790? -36976*l**2 + 49*l + 52 What is the p'th term of -2143, -2395, -2615, -2803, -2959, -3083? 16*p**2 - 300*p - 1859 What is the j'th term of -9480949, -9480951, -9480953, -9480955, -9480957? -2*j - 9480947 What is the o'th term of -24660, -101340, -230038, -410754? -26009*o**2 + 1347*o + 2 What is the c'th term of -140767, -280929, -421091? -140162*c - 605 What is the c'th term of 1284, 10591, 35848, 85029, 166108? 1329*c**3 + c**2 + c - 47 What is the r'th term of 63438, 126818, 190198? 63380*r + 58 What is the d'th term of -18443727, -18443730, -18443733, -18443736, -18443739? -3*d - 18443724 What is the s'th term of 32652, 32698, 32764, 32850, 32956? 10*s**2 + 16*s + 32626 What is the v'th term of -93265, -93317, -93413, -93553? -22*v**2 + 14*v - 93257 What is the j'th term of 7368, 13113, 18858, 24603, 30348, 36093? 5745*j + 1623 What is the l'th term of -7064650, -14129233, -21193816? -7064583*l - 67 What is the i'th term of 10291, 41142, 92563, 164554, 257115, 370246? 10285*i**2 - 4*i + 10 What is the u'th term of 4651, 37279, 125815, 298213, 582427? 4659*u**3 + 15*u - 23 What is the d'th term of -3311, -2366, -1411, -446, 529, 1514? 5*d**2 + 930*d - 4246 What is the g'th term of 73288, 146880, 220472, 294064, 367656, 441248? 73592*g - 304 What is the r'th term of 1956, 3438, 4234, 4002, 2400, -914? -57*r**3 - r**2 + 1884*r + 130 What is the h'th term of 5631, 13277, 20927, 28581, 36239, 43901? 2*h**2 + 7640*h - 2011 What is the l'th term of 14917, 15074, 15477, 16240, 17477, 19302, 21829, 25172? 19*l**3 + 9*l**2 - 3*l + 14892 What is the z'th term of 185278, 370548, 555824, 741118, 926442, 1111808, 1297228? 2*z**3 - 9*z**2 + 185283*z + 2 What is the l'th term of -149314, -149311, -149298, -149269, -149218? l**3 - l**2 - l - 149313 What is the o'th term of 149521, 149749, 149977? 228*o + 149293 What is the t'th term of -406, -1880, -4360, -7846, -12338, -17836, -24340? -503*t**2 + 35*t + 62 What is the u'th term of -152, -92, 148, 652, 1504? 14*u**3 + 6*u**2 - 56*u - 116 What is the c'th term of -11908, -11857, -11772, -11653? 17*c**2 - 11925 What is the i'th term of 85116, 85094, 85038, 84930, 84752, 84486, 84114, 83618? -3*i**3 + i**2 - 4*i + 85122 What is the f'th term of -14318, -28654, -42984, -57284, -71530, -85698? 4*f**3 - 21*f**2 - 14301*f What is the m'th term of 2313, 3322, 4333, 5346? m**2 + 1006*m + 1306 What is the z'th term of 5774, 11166, 16174, 20798? -192*z**2 + 5968*z - 2 What is the l'th term of -241567, -241432, -241307, -241198, -241111, -241052, -241027? -l**3 + l**2 + 139*l - 241706 What is the g'th term of -596389, -596231, -596073, -595915, -595757, -595599? 158*g - 596547 What is the p'th term of 37, 1407, 5377, 13243, 26301, 45847, 73177? 216*p**3 + 4*p**2 - 154*p - 29 What is the w'th term of -3821, -4195, -5211, -7187, -10441, -15291, -22055, -31051? -53*w**3 - 3*w**2 + 6*w - 3771 What is the f'th term of -250741616, -250741618, -250741620, -250741622, -250741624? -2*f - 250741614 What is the s'th term of 32091, 64163, 96235, 128307? 32072*s + 19 What is the j'th term of 52920, 106603, 160298, 214011, 267748, 321515? j**3 + 53676*j - 757 What is the g'th term of -2830, -5571, -8166, -10567, -12726, -14595? 8*g**3 + 25*g**2 - 2872*g + 9 What is the y'th term of 270418, 270476, 270534, 270592, 270650? 58*y + 270360 What is the w'th term of 26097991, 52195982, 78293973, 104391964? 26097991*w What is the f'th term of -176668, -176690, -176714, -176740? -f**2 - 19*f - 176648 What is the s'th term of 204161, 408052, 611943, 815834, 1019725? 203891*s + 270 What is the a'th term of 18829, 37738, 56649, 75562, 94477, 113394, 132313? a**2 + 18906*a - 78 What is the t'th term of -12933, -32081, -57441, -89019, -126821, -170853, -221121, -277631? -t**3 - 3100*t**2 - 9841*t + 9 What is the q'th term of -1543, -4666, -9367, -15646? -789*q**2 - 756*q + 2 What is the t'th term of 40138, 41463, 43682, 46801, 50826? t**3 + 441*t**2 - 5*t + 39701 What is the w'th term of 7488070, 7488082, 7488094, 7488106, 7488118? 12*w + 7488058 What is the d'th term of -450400, -450413, -450426, -450439, -450452? -13*d - 450387 What is the k'th term of 114253, 228450, 342579, 456640, 570633, 684558? -34*k**2 + 114299*k - 12 What is the m'th term of -93475, -187088, -280703, -374320, -467939, -561560? -m**2 - 93610*m + 136 What is the x'th term of 15082, 29143, 43206, 57271, 71338, 85407, 99478? x**2 + 14058*x + 1023 What is the h'th term of 323, 360, 355, 308, 219? -21*h**2 + 100*h + 244 What is the j'th term of 7881, 15915, 24095, 32421, 40893, 49511? 73*j**2 + 7815*j - 7 What is the o'th term of 50721, 54753, 58785, 62817? 4032*o + 46689 What is the a'th term of -5091472, -5091489, -5091518, -5091559, -5091612, -5091677, -5091754? -6*a**2 + a - 5091467 What is the p'th term of -5797, -5009, -3695, -1855, 511, 3403? 263*p**2 - p - 6059 What is the x'th term of 249568, 498765, 747962, 997159? 249197*x + 371 What is the t'th term of -2554, -4735, -6558, -8023, -9130? 179*t**2 - 2718*t - 15 What is the f'th term of -39222, -156968, -353246, -628062, -981422, -1413332? -f**3 - 39260*f**2 + 41*f - 2 What is the l'th term of -557960, -557968, -557976, -557984, -557992, -558000? -8*l - 557952 What is the x'th term of -9832, -8623, -7416, -6211, -5008, -3807, -2608? -x**2 + 1212*x - 11043 What is the i'th term of -133310, -133091, -132872, -132653, -132434, -132215? 219*i - 133529 What is the z'th term of -1151, -4316, -9637, -17120, -26771, -38596, -52601, -68792? -z**3 - 1072*z**2 + 58*z - 136 What is the f'th term of 11548370, 11548401, 11548460, 11548553, 11548686? f**3 + 8*f**2 + 11548361 What is the l'th term of 780, 1959, 3542, 5529, 7920, 10715, 13914? 202*l**2 + 573*l + 5 What is the b'th term of -2046038, -4092065, -6138084, -8184095? 4*b**2 - 2046039*b - 3 What is the n'th term of -26577564, -26577567, -26577570, -26577573? -3*n - 26577561 What is the c'th term of -642956, -642979, -643002, -643025, -643048? -23*c - 64
{ "pile_set_name": "DM Mathematics" }
ng 3 q and 1 d when four letters picked without replacement from {h: 1, q: 1, r: 4, d: 2}. 0 Calculate prob of picking 3 x when three letters picked without replacement from {x: 5, p: 2}. 2/7 What is prob of picking 2 m, 1 c, and 1 u when four letters picked without replacement from cmumccmmcucuquu? 10/91 Four letters picked without replacement from rrrrnnnrnn. What is prob of picking 4 r? 1/42 Three letters picked without replacement from {b: 9, v: 2}. Give prob of picking 2 v and 1 b. 3/55 Two letters picked without replacement from jggjjjjgggggggjgjgg. What is prob of picking 2 j? 7/57 Calculate prob of picking 2 a and 2 g when four letters picked without replacement from gagggagggppagppga. 54/595 Calculate prob of picking 1 n and 1 r when two letters picked without replacement from crnrkcvccrkvrr. 5/91 Calculate prob of picking 1 r and 1 i when two letters picked without replacement from iiiririiir. 7/15 Calculate prob of picking 1 h, 1 s, and 1 e when three letters picked without replacement from hhshsuhpsehe. 3/22 Three letters picked without replacement from {s: 9, t: 1, l: 3, k: 1}. Give prob of picking 3 k. 0 What is prob of picking 2 b when two letters picked without replacement from {b: 3, h: 5}? 3/28 Calculate prob of picking 1 a and 2 e when three letters picked without replacement from aaaee. 3/10 Two letters picked without replacement from {z: 2, s: 10}. Give prob of picking 2 s. 15/22 Calculate prob of picking 1 n and 2 e when three letters picked without replacement from {e: 2, n: 1, i: 4, s: 2}. 1/84 What is prob of picking 4 l when four letters picked without replacement from {l: 11, t: 2}? 6/13 Two letters picked without replacement from llllllllalallllllaa. What is prob of picking 2 a? 2/57 Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {j: 3, e: 4, d: 3, u: 1, n: 3, h: 2}. 1/40 Three letters picked without replacement from {g: 2, p: 3, o: 3}. What is prob of picking 2 o and 1 p? 9/56 Calculate prob of picking 2 y when two letters picked without replacement from ttytytyttt. 1/15 What is prob of picking 2 x and 1 d when three letters picked without replacement from xdxqd? 1/5 Calculate prob of picking 3 s when three letters picked without replacement from {s: 3}. 1 Three letters picked without replacement from azcrrrazczczz. What is prob of picking 1 a and 2 r? 3/143 Four letters picked without replacement from {x: 3, z: 3, s: 7}. What is prob of picking 2 z and 2 x? 9/715 What is prob of picking 1 p and 2 d when three letters picked without replacement from ppsmrrrdrsrrrdm? 2/455 Three letters picked without replacement from vaavaaavaaavv. Give prob of picking 3 a. 28/143 Three letters picked without replacement from dpdnnpnpp. Give prob of picking 1 d and 2 p. 1/7 Two letters picked without replacement from {g: 4, t: 14}. What is prob of picking 1 g and 1 t? 56/153 What is prob of picking 2 h and 1 t when three letters picked without replacement from {t: 2, h: 2, m: 6, k: 1}? 2/165 What is prob of picking 2 m when two letters picked without replacement from teyeyymyymmmyeyetyy? 2/57 Calculate prob of picking 4 s when four letters picked without replacement from {s: 4, u: 7}. 1/330 Three letters picked without replacement from {f: 2, m: 8, h: 6, y: 3}. Give prob of picking 2 m and 1 y. 28/323 What is prob of picking 2 s when two letters picked without replacement from ssssqssqqsqq? 7/22 Calculate prob of picking 1 u and 1 n when two letters picked without replacement from nunnunnnunnnnuununn. 26/57 What is prob of picking 1 t and 1 b when two letters picked without replacement from {b: 2, w: 2, g: 3, t: 1, z: 4}? 1/33 Calculate prob of picking 1 b and 1 i when two letters picked without replacement from {i: 2, b: 10}. 10/33 What is prob of picking 1 e and 1 d when two letters picked without replacement from {d: 11, w: 1, e: 5}? 55/136 What is prob of picking 2 b when two letters picked without replacement from bbnbnbbbbbbbbn? 55/91 What is prob of picking 4 f when four letters picked without replacement from mfymhbbffmfr? 1/495 What is prob of picking 1 h, 1 i, and 1 o when three letters picked without replacement from ziviyhiyyhiiyio? 12/455 Three letters picked without replacement from yvvvvvvvyvy. What is prob of picking 3 y? 1/165 Two letters picked without replacement from ossosseo. What is prob of picking 1 s and 1 o? 3/7 Calculate prob of picking 2 z when two letters picked without replacement from nznzz. 3/10 Calculate prob of picking 3 b when three letters picked without replacement from {b: 3, f: 9}. 1/220 What is prob of picking 1 b and 1 f when two letters picked without replacement from {n: 1, f: 4, b: 2, c: 2}? 2/9 Calculate prob of picking 2 e when two letters picked without replacement from {e: 8, l: 5}. 14/39 Calculate prob of picking 4 v when four letters picked without replacement from vvvvvvvvv. 1 Calculate prob of picking 1 q, 2 j, and 1 k when four letters picked without replacement from {j: 6, x: 1, k: 5, q: 4}. 15/91 Calculate prob of picking 3 r and 1 z when four letters picked without replacement from rzrrrrrrrzrrzrzzrr. 143/306 Calculate prob of picking 1 s, 1 h, and 2 k when four letters picked without replacement from {s: 2, f: 5, h: 2, g: 2, k: 2}. 4/715 Four letters picked without replacement from dddvddvnvdnzvmndd. Give prob of picking 4 d. 1/34 What is prob of picking 1 e and 1 q when two letters picked without replacement from qexjq? 1/5 Three letters picked without replacement from nnngnnnngnnngnn. Give prob of picking 3 n. 44/91 Three letters picked without replacement from {z: 1, h: 4, j: 3}. What is prob of picking 1 h and 2 j? 3/14 Three letters picked without replacement from {q: 1, a: 3, g: 6, m: 9}. Give prob of picking 2 g and 1 m. 45/323 Four letters picked without replacement from fyeeyyyyypfexffyyyef. What is prob of picking 1 x, 2 f, and 1 p? 2/969 Three letters picked without replacement from xxqxxqqqqqxq. What is prob of picking 3 q? 7/44 Three letters picked without replacement from {s: 12, f: 6}. What is prob of picking 1 f and 2 s? 33/68 Four letters picked without replacement from ejejjjj. What is prob of picking 4 j? 1/7 What is prob of picking 3 e when three letters picked without replacement from zzzewzzzwezzzzezz? 1/680 What is prob of picking 1 x and 1 w when two letters picked without replacement from {w: 5, x: 11}? 11/24 Three letters picked without replacement from {h: 5, z: 4, t: 1, k: 1}. Give prob of picking 1 k and 2 h. 2/33 Calculate prob of picking 1 z, 1 p, and 1 i when three letters picked without replacement from mnmimpzm. 1/56 Calculate prob of picking 2 w, 1 n, and 1 b when four letters picked without replacement from wbyaaybyawxayny. 2/1365 Four letters picked without replacement from chhshzjshcchhz. What is prob of picking 2 z, 1 j, and 1 h? 6/1001 What is prob of picking 1 j and 1 l when two letters picked without replacement from ljjtejdj? 1/7 Three letters picked without replacement from mmmemem. What is prob of picking 3 m? 2/7 Two letters picked without replacement from wowlwwfrllhf. What is prob of picking 2 l? 1/22 Four letters picked without replacement from {k: 4, o: 2}. What is prob of picking 4 k? 1/15 What is prob of picking 1 s and 1 i when two letters picked without replacement from isiusj? 4/15 Calculate prob of picking 1 h and 1 r when two letters picked without replacement from rhhrararxrra. 2/11 What is prob of picking 3 v when three letters picked without replacement from {v: 10}? 1 Three letters picked without replacement from zzzpzazzzpzazzpzz. What is prob of picking 2 z and 1 p? 99/340 Two letters picked without replacement from neknnme. What is prob of picking 1 n and 1 e? 2/7 Two letters picked without replacement from {y: 5, c: 13}. Give prob of picking 1 c and 1 y. 65/153 Four letters picked without replacement from nzzzzzzzznznzz. What is prob of picking 4 z? 30/91 What is prob of picking 1 p and 1 u when two letters picked without replacement from pupppppppppupppupup? 20/57 What is prob of picking 1 r and 1 y when two letters picked without replacement from {r: 1, i: 2, y: 1}? 1/6 Three letters picked without replacement from {e: 4, p: 4, j: 6, d: 1}. Give prob of picking 2 e a
{ "pile_set_name": "DM Mathematics" }
v(z)? z + 5 Let h(p) = 338374*p**2 - 5505*p - 1835. Let b(s) = -369*s**2 + 6*s + 2. Determine -3670*b(r) - 4*h(r). 734*r**2 Suppose 2*n + 2*y - 12 = -0*y, 2*y - 18 = -4*n. Let r(l) = -2*l - 5. Let x(h) = -10*h - 26. Suppose 20*q - 4 + 324 = 0. Give n*x(v) + q*r(v). 2*v + 2 Let j be -3 - -4 - (-5 + -1). Suppose -i = 2*y, -14 = -j*i + 2*i - 3*y. Let a be 2 - 2*i/8. Let x(z) = -z + 1. Let h(n) = 7*n - 5. Give a*h(o) + 4*x(o). 3*o - 1 Let b(o) be the second derivative of 0 - 5*o - 1/2*o**3 + 7/2*o**2. Let d(w) = w - 1. Let j = -53 - -52. Calculate j*b(p) - 6*d(p). -3*p - 1 Let h = -127 + 126. Let p(d) = 6*d**2 + 2*d. Let g(v) be the third derivative of 0*v**3 - v**2 + 0*v**4 + 1/60*v**5 + 0*v + 0. Give h*p(r) + 8*g(r). 2*r**2 - 2*r Let q(l) = 12*l**3 - 26*l**2 - 22*l + 11. Let i(a) = -a**3 - 2*a**2 + 2*a - 1. Calculate -22*i(c) - 2*q(c). -2*c**3 + 96*c**2 Let j(h) = -21*h + 545. Let p(q) = 4*q - 109. Calculate 2*j(x) + 11*p(x). 2*x - 109 Let y(m) = -m**2 + m. Let n = -50 - -56. Suppose -n*p = 1 - 7. Let g(x) = -7*x**2 + 3*x - 1. Calculate p*g(r) - 4*y(r). -3*r**2 - r - 1 Let n(v) = 3*v**3 - 3*v + 3. Let j(q) = 4*q + 8. Let w(c) = -7*c - 13. Let b(g) = -5*j(g) - 3*w(g). Give 3*b(z) + n(z). 3*z**3 Let t(h) = -25*h + 23. Let l(w) = 25*w - 20. Calculate 2*l(f) + 3*t(f). -25*f + 29 Let m(n) = -27*n**3 - 11*n**2 + 5*n + 7. Let r(u) = 14*u**3 + 6*u**2 - 3*u - 4. Give -6*m(c) - 11*r(c). 8*c**3 + 3*c + 2 Let u(i) = 27*i + 1. Let v(x) = -53*x - 3. Give 7*u(m) + 3*v(m). 30*m - 2 Let n(z) = -10*z - 3. Let s(t) = 10*t + 4. Let i = 285 - 281. Give i*n(w) + 3*s(w). -10*w Let n(w) = -4*w**2 + 108*w - 15. Let u(t) = -2*t**2 + 55*t - 8. Give 6*n(o) - 11*u(o). -2*o**2 + 43*o - 2 Let g = -400 + 403. Let d(w) = 4*w - 5. Let v(m) = 2*m - 3 + 6 - 3*m - 2. Determine g*d(h) + 15*v(h). -3*h Let r(d) = -6*d - 6. Let q be 12/26 + (-116)/26. Let a(i) = -i - 1. Suppose 3*h + 107 = 5*v, 3*h - 1 = 2. Determine q*r(z) + v*a(z). 2*z + 2 Let k(f) = 15*f**2 - 10*f. Let a(c) = -15*c**2 + 10*c. What is 6*a(y) + 5*k(y)? -15*y**2 + 10*y Let q(v) = v - 1. Let b(d) = -d + 1. Let s be 55/45 - 4/18. Let a(l) = s*q(l) + 2*b(l). Let y(c) = -2. What is -2*a(o) - y(o)? 2*o Let s(n) = -n - 1. Let j be ((-2)/(-6))/(7/(-63)). Let v(f) be the third derivative of -1/24*f**4 + 0 - 2/3*f**3 - 4*f**2 + 0*f. Give j*s(l) + v(l). 2*l - 1 Let a(n) = n**2 - n - 1. Let s(d) = 8*d**2 - 6*d - 6. Let v(f) = 3*f**2 + 81*f + 6. Let g be v(-27). Suppose p + 4 = -3*p. Calculate g*a(m) + p*s(m). -2*m**2 Let k(c) = 3*c - 3. Let m(r) = 83 - 164 + 84. What is -3*k(l) - 3*m(l)? -9*l Let s be (-10)/(-9)*315/70. Let n(w) = -2*w - 2. Suppose 3*i = i. Let z be 0 + 0 - (3 - i). Let l(t) = -3*t - 4. What is s*n(m) + z*l(m)? -m + 2 Let w(n) = -2*n**2 + n**2 + 2775*n**3 - 2777*n**3 + 8 - 3*n**2 + 1. Let z(t) = t**3 + 2*t**2 - 5. Give -4*w(u) - 7*z(u). u**3 + 2*u**2 - 1 Let u(k) = -131*k + 1. Let h(x) = 129*x - 1. What is 3*h(l) + 4*u(l)? -137*l + 1 Let d(q) = 22*q**3 - 3*q. Let b(x) = -2375*x**3 + 323*x. What is -6*b(k) - 646*d(k)? 38*k**3 Let y(t) = 2*t - 45. Let o(n) = -n + 22. Determine 5*o(l) + 2*y(l). -l + 20 Let f(w) = -w - 1. Let j(u) = u**3 - 9*u**2 + 4. What is -2*f(y) - j(y)? -y**3 + 9*y**2 + 2*y - 2 Let l(v) = 4*v + 3. Let i(n) = -1. Let m(f) = -4*i(f) - l(f). Let c(q) = -q. Suppose 3*x + 24 = -2*p, 5*x - 4*p = 2*x - 6. Give x*c(u) + m(u). 2*u + 1 Let d(p) = -8*p**2 + 1. Let q be 3 + (-6 - -2) + -2. Let k(a) = a**2. What is q*k(t) - d(t)? 5*t**2 - 1 Let i(l) = -16*l - 15. Let s(g) = 3*g + 1. What is i(w) + 6*s(w)? 2*w - 9 Let g(i) be the first derivative of -3*i**2/2 - 4*i + 2. Let u(b) be the second derivative of -2*b**3/3 - 3*b**2 - 3*b + 21. Give -7*g(c) + 5*u(c). c - 2 Let i(h) = -3*h**2 - 4*h - 3. Let o(f) = 2*f**2 + 3*f + 2. Determine 6*i(a) + 7*o(a). -4*a**2 - 3*a - 4 Let a(k) = -558*k**3 - 2. Let b(p) = -1175704*p**3 - 4215. Determine 4215*a(t) - 2*b(t). -562*t**3 Let d(m) = m - 2. Let l(z) = -1. Let u(s) = -d(s) + 6*l(s). Suppose 0 = -3*a, -a + 24 = 4*f + 4*a. Let i(x) = -4*x - 15. What is f*i(g) - 22*u(g)? -2*g - 2 Suppose 6*b + 8 = -22. Let k(r) be the first derivative of r**4 - 3*r**2/2 - 5*r + 3. Let d(o) = -2*o**3 + 2*o + 3. What is b*d(y) - 3*k(y)? -2*y**3 - y Let n(u) be the third derivative of -u**4/8 + 27*u**2. Let m(j) = -2*j**3 + 2*j**2 + j + 1. Let t be m(2). Let i(b) = 3*b. Calculate t*n(f) - 6*i(f). -3*f Suppose 0 = -95*o + 105*o - 40. Let l(d) = -d + 7. Let y(n) = n - 7. Calculate o*l(f) + 5*y(f). f - 7 Let r(w) = 34 - 10*w - 15 - 7*w + 5*w - 25. Let l(y) = -1. Determine 5*l(t) - r(t). 12*t + 1 Let a(w) be the second derivative of -8*w**3/3 - 11*w**2/2 + 2*w + 31. Let v(p) = -p**2 + p - 22. Let t be v(0). Let h(c) = -3*c - 2. Determine t*h(n) + 4*a(n). 2*n Let c(r) be the second derivative of 5/12*r**4 - 1/2*r**3 + 3*r**2 + 0 - 28*r. Let b(n) = -3*n**2 + 2*n - 4. Determine 8*b(s) + 5*c(s). s**2 + s - 2 Let y(s) = 31*s**2 - 5*s + 1. Let b(a) = 6*a**2 - a. Suppose 2*k - 32 = -6*k. Suppose 6*n - 2*n - 42 = -x, n = k*x + 19. Calculate n*b(g) - 2*y(g). 4*g**2 - g - 2 Let s(m) = -26*m**3 - 3044*m. Let f(u) = 5*u**3 + 609*u. What is 16*f(c) + 3*s(c)? 2*c**3 + 612*c Let x(t) = 7*t - 2. Let z = -31 + 139. Let h(r) = 3*r + 5*r + z - 111 + 0*r. Calculate 4*h(g) - 5*x(g). -3*g - 2 Let q(i) = 5*i**2 - 2*i - 14. Let x(u) = -5*u - 5 + 4*u - 4*u**2 + 9*u**2 + 6*u**2 - 9*u**2. Calculate -4*q(l) + 11*x(l). 2*l**2 - 3*l + 1 Let a(l) = -2*l + 2. Let i(m) be the second derivative of -m**4/6 + m**3/2 + 2*m**2 - 6*m. Let w(s) be the first derivative of i(s). Determine 5*a(o) - 3*w(o). 2*o + 1 Let k = -303 - -299. Let x(t) = -t + 3. Let i(r) = -r + 5. Calculate k*i(j) + 7*x(j). -3*j + 1 Suppose 5*s - 5*q - 35 = 0, 2*s + 19 = 7*s - q. Let b(p) = 9*p + 7. Let j(k) = -4*k - 3. What is s*b(i) + 7*j(i)? -i Let o(a) = 13*a**2 + 42*a + 5. Let u(q) = 29*q**2 + 83*q + 11. What is 9*o(s) - 4*u(s)? s**2 + 46*s + 1 Let w(b) = 6*b - 1. Let t(a) = -5*a + 1. Determine -7*t(m) - 6*w(m). -m - 1 Let g(p) = -6*p**3 - 2*p - 2. Let n(b) = -b**2 + b + 1. Give -g(k) - 2*n(k). 6*k**3 + 2*k**2 Let w(y) = y + 1. Let b(h) = -h**3 - 2*h**2 + 3*h + 1. Let f be b(-3). Let k(s) be the first derivative of 7*s**2/2 + 4*s - 20. Give f*k(q) - 5*w(q). 2*q - 1 Let h(n) = 5*n. Let u(x) = -17*x - 16*x - 21*x + 1 + 60*x. Let i be ((-3)/9)/(2/(-12)). What is i*u(j) - 3*h(j)? -3*j + 2 Let c(a) = 6*a**3 - 16*a**2 - 7*a. Let j(n) = 2*n**3 - 5*n**2 - 2*n. Suppose 133 = 96*s - 77*s. Calculate s*j(t) - 2*c(t). 2*t**3 - 3*t**2 Let f(a) = -14*a**3 - 14*a. Let c be 0/2 - ((-110)/5)/(-2). Let k(i) = 5*i**3 + 5*i. Determine c*k(r) - 4*f(r). r**3 + r Let k(c) = -25*c**2 - 84. Let q(o) = -16*o**2 - 56. Determine 5*k(z) - 8*q(z). 3*z**2 + 28 Let p(u) = 21*u**2 - u - 2. Let o(a) = 57*a**2 - 2*a - 6. Let k(q) = 3*o(q) - 8*p(q). Let s(z) = 2*z**2 + 3*z - 3. What is -6*k(l) + 4*s(l)? -10*l**2 Let c(l) = -9*l + 117. Let i(t) = 2*t - 1. Determine -c(s) - 4*i(s). s - 113 Let r(o) = o**3 - 2*o + 2. Suppose 0 = -24*w - 14 + 86. Let k(h) be the second derivative of -h**3/2 + 3*h**2/2 - 2*h. Give w*r(n) - 2*k(n). 3*n**3 Suppose -3*q + 12 = -6. Let f = -4 + q. Let s(t) = -3*t**2 + 0 + 4 + 2*t + 3*t + f*t + 6*t**3. Let l(n) = -4*n**3 + 2*n**2 - 5*n - 3. Calculate 7*l(h) + 5*s(h). 2*h**3 - h**2 - 1 Let f(a) = 8*a**3 + 4*a**2 + 6*a + 20. Let g(m) = -9*m**3 - 5*m**2 - 7*m - 20. What is 7*f(w) + 6*g(w)? 2*w**3 - 2*w**2 + 20 Let w(u) = 10*u + 10. Let a(o) = -2. Give -4*a(h) - w(h). -10*h - 2 Let h(x) = 2*x**3 + x + 5. Let r(a) = 6*a**3 + 2*a + 14. Let f(v) = -v**2 - 9*v + 5. Let j be f(-9). Suppose -13 = -j*c + 2. Determine c*r(n) - 8*h(n). 2*n**3 - 2*n + 2 Let u(i) = 2*i**2 + 287*i + 2. Let w(r) = -10*r**2 - 1435*r - 11. What is 11*u(z) + 2*w(z)? 2*z**2 + 287*z Let h(w) = 11*w + 9. Let m(y) = -y**2 - 8*y - 3. Suppose p - 4 = 2*q - 3*p, 5*q + 43 = -p. Let n be m(q). Let v(a) = -5*a - 4. Determine n*h(z) - 7*v(z). 2*z + 1 Let v(f) = 2*f + 1. Let r(o) = 20*o + 25. What is -r(g) + 6*v(g)? -8*g - 19 Let b(w) = -40040*w - 1960. Let v(n) = 616*n + 30. Calculate -3*b(s) - 196*v(s). -616*s Let c(k) = -2*k**3 - 240*k**2 - 2*k. Let z(v) = v**3 - v**2 - v. What is c(b) - 2*z(b)? -4*b**3 - 238*b**2 Let f(l) = 3*l**3 + 19*l**2 - 5*l + 3. Let n(s) = 3*s**3 + 18*s**2 - 6*s + 4. Calculate 4*f(v) - 3
{ "pile_set_name": "DM Mathematics" }
minutes before 1:48 PM? 12:26 PM What is 456 minutes after 2:35 AM? 10:11 AM What is 421 minutes after 7:48 AM? 2:49 PM How many minutes are there between 7:11 AM and 8:33 AM? 82 What is 430 minutes before 6:22 PM? 11:12 AM How many minutes are there between 7:41 PM and 1:03 AM? 322 How many minutes are there between 9:21 AM and 2:19 PM? 298 How many minutes are there between 12:08 AM and 10:32 AM? 624 How many minutes are there between 6:46 PM and 2:54 AM? 488 What is 111 minutes before 8:19 AM? 6:28 AM How many minutes are there between 1:21 AM and 6:38 AM? 317 How many minutes are there between 10:07 PM and 6:17 AM? 490 What is 36 minutes after 1:33 PM? 2:09 PM How many minutes are there between 3:45 AM and 12:29 PM? 524 How many minutes are there between 12:49 AM and 11:09 AM? 620 How many minutes are there between 6:01 AM and 6:53 AM? 52 How many minutes are there between 6:10 AM and 9:47 AM? 217 What is 612 minutes after 6:14 PM? 4:26 AM How many minutes are there between 12:55 AM and 12:12 PM? 677 How many minutes are there between 3:47 PM and 4:06 PM? 19 How many minutes are there between 10:18 PM and 1:55 AM? 217 What is 296 minutes after 7:23 AM? 12:19 PM What is 708 minutes after 10:26 PM? 10:14 AM What is 249 minutes before 8:12 AM? 4:03 AM What is 366 minutes before 7:08 AM? 1:02 AM How many minutes are there between 2:03 PM and 2:45 PM? 42 How many minutes are there between 3:06 PM and 2:37 AM? 691 How many minutes are there between 6:52 AM and 5:03 PM? 611 How many minutes are there between 3:34 PM and 3:23 AM? 709 What is 482 minutes before 1:46 AM? 5:44 PM What is 82 minutes after 3:02 AM? 4:24 AM What is 265 minutes after 1:13 PM? 5:38 PM What is 517 minutes after 2:32 PM? 11:09 PM How many minutes are there between 6:05 PM and 8:11 PM? 126 What is 127 minutes after 2:21 PM? 4:28 PM What is 117 minutes before 2:36 AM? 12:39 AM What is 237 minutes after 4:11 PM? 8:08 PM What is 491 minutes before 2:18 PM? 6:07 AM What is 573 minutes before 4:23 AM? 6:50 PM What is 298 minutes after 2:29 AM? 7:27 AM What is 609 minutes before 12:58 PM? 2:49 AM What is 344 minutes after 3:06 AM? 8:50 AM What is 680 minutes after 8:26 PM? 7:46 AM How many minutes are there between 7:43 PM and 2:23 AM? 400 What is 127 minutes after 1:02 AM? 3:09 AM What is 493 minutes after 1:44 PM? 9:57 PM What is 672 minutes after 12:08 PM? 11:20 PM What is 688 minutes before 6:00 PM? 6:32 AM What is 707 minutes after 1:02 PM? 12:49 AM What is 322 minutes after 1:52 AM? 7:14 AM What is 624 minutes before 7:07 PM? 8:43 AM What is 667 minutes after 1:42 PM? 12:49 AM What is 665 minutes before 10:53 PM? 11:48 AM How many minutes are there between 12:46 AM and 4:52 AM? 246 What is 321 minutes before 5:42 AM? 12:21 AM How many minutes are there between 1:49 AM and 9:23 AM? 454 What is 44 minutes before 9:49 AM? 9:05 AM How many minutes are there between 9:37 AM and 2:39 PM? 302 What is 420 minutes after 10:35 AM? 5:35 PM How many minutes are there between 2:14 AM and 6:26 AM? 252 How many minutes are there between 2:10 AM and 10:34 AM? 504 What is 585 minutes after 7:40 AM? 5:25 PM What is 264 minutes before 1:16 PM? 8:52 AM What is 309 minutes before 6:04 AM? 12:55 AM How many minutes are there between 7:52 PM and 8:02 PM? 10 How many minutes are there between 9:21 PM and 7:17 AM? 596 What is 203 minutes after 9:33 PM? 12:56 AM How many minutes are there between 4:13 PM and 8:28 PM? 255 How many minutes are there between 5:20 PM and 6:49 PM? 89 How many minutes are there between 2:20 PM and 12:59 AM? 639 How many minutes are there between 11:16 PM and 1:35 AM? 139 What is 235 minutes after 2:21 AM? 6:16 AM How many minutes are there between 11:37 PM and 5:19 AM? 342 What is 279 minutes after 6:46 AM? 11:25 AM How many minutes are there between 7:22 PM and 7:57 PM? 35 What is 97 minutes after 4:49 AM? 6:26 AM How many minutes are there between 2:26 PM and 3:54 PM? 88 How many minutes are there between 9:41 AM and 2:07 PM? 266 What is 456 minutes after 4:33 PM? 12:09 AM How many minutes are there between 8:33 AM and 9:35 AM? 62 What is 588 minutes after 10:27 PM? 8:15 AM What is 443 minutes after 7:46 AM? 3:09 PM How many minutes are there between 7:34 AM and 8:33 AM? 59 How many minutes are there between 10:56 PM and 4:19 AM? 323 What is 688 minutes after 2:20 PM? 1:48 AM What is 468 minutes before 10:19 PM? 2:31 PM What is 474 minutes before 5:23 PM? 9:29 AM What is 454 minutes after 8:44 AM? 4:18 PM What is 144 minutes before 3:29 PM? 1:05 PM What is 556 minutes after 10:50 PM? 8:06 AM What is 399 minutes after 2:17 PM? 8:56 PM How many minutes are there between 3:10 PM and 11:32 PM? 502 How many minutes are there between 5:10 AM and 12:08 PM? 418 How many minutes are there between 12:50 AM and 8:09 AM? 439 How many minutes are there between 1:05 AM and 8:29 AM? 444 How many minutes are there between 11:19 AM and 11:28 AM? 9 How many minutes are there between 9:54 PM and 9:09 AM? 675 What is 647 minutes after 11:17 PM? 10:04 AM What is 252 minutes after 7:40 PM? 11:52 PM What is 69 minutes after 1:33 AM? 2:42 AM What is 607 minutes after 6:46 AM? 4:53 PM What is 331 minutes before 6:52 PM? 1:21 PM How many minutes are there between 7:34 AM and 7:28 PM? 714 How many minutes are there between 4:09 AM and 6:56 AM? 167 What is 211 minutes before 5:12 PM? 1:41 PM How many minutes are there between 7:01 PM and 11:52 PM? 291 What is 35 minutes before 7:23 PM? 6:48 PM How many minutes are there between 12:09 AM and 7:09 AM? 420 What is 137 minutes before 3:09 PM? 12:52 PM What is 707 minutes before 4:28 AM? 4:41 PM How many minutes are there between 8:33 AM and 7:12 PM? 639 How many minutes are there between 2:09 AM and 8:02 AM? 353 What is 98 minutes after 11:01 PM? 12:39 AM What is 53 minutes after 6:24 AM? 7:17 AM What is 502 minutes before 12:33 PM? 4:11 AM What is 488 minutes before 8:38 AM? 12:30 AM What is 40 minutes before 6:17 PM? 5:37 PM What is 398 minutes before 9:58 AM? 3:20 AM How many minutes are there between 11:01 PM and 10:21 AM? 680 How many minutes are there between 1:42 AM and 1:19 PM? 697 How many minutes are there between 6:08 PM and 7:30 PM? 82 What is 667 minutes after 2:32 PM? 1:39 AM How many minutes are there between 11:02 AM and 12:46 PM? 104 What is 394 minutes after 4:07 AM? 10:41 AM How many minutes are there between 5:48 AM and 4:22 PM? 634 How many minutes are there between 4:27 AM and 12:35 PM? 488 How many minutes are there between 12:41 PM and 4:10 PM? 209 How many minutes are there between 6:13 PM and 11:38 PM? 325 What is 525 minutes before 11:28 PM? 2:43 PM How many minutes are there between 5:10 PM and 10:28 PM? 318 How many minutes are there between 9:53 PM and 5:17 AM? 444 What is 439 minutes after 2:08 AM? 9:27 AM What is 202 minutes before 2:23 AM? 11:01 PM What is 669 minutes before 5:02 PM? 5:53 AM What is 458 minutes before 5:24 PM? 9:46 AM What is 618 minutes before 12:20 AM? 2:02 PM What is 156 minutes after 9:03 PM? 11:39 PM How many minutes are there between 12:48 AM and 7:30 AM? 402 How many minutes are there between 3:15 AM and 10:15 AM? 420 What is 152 minutes before 12:15 AM? 9:43 PM What is 391 minutes after 2:37 PM? 9:08 PM How many minutes are there between 7:06 AM and 6:53 PM? 707 How many minutes are there between 2:59 AM and 2:53 PM? 714 How many minutes are there between 1:46 AM and 11:03 AM? 557 What is 309 minutes before 9:21 AM? 4:12 AM How many minutes are there between 12:05 PM and 9:33 PM? 568 What is 689 minutes before 8:20 PM? 8:51 AM How many minutes are there between 1:47 PM and 1:03 AM? 676 What is 595 minutes before 3:40 AM? 5:45 PM How many minutes are there between 11:06 AM and 3:58 PM? 292 What is 416 minutes before 8:34 AM? 1:38 AM How many minutes are there between 8:20 AM and 9:01 AM? 41 How many minutes are there between 5:02 AM and 8:57 AM? 235 What is 101 minutes after 11:33 AM? 1:14 PM What is 612 minutes before 2:22 PM? 4:10 AM How many minutes are there between 8:10 PM and 7:02 AM? 652 What is 446 minutes after 9:43 PM? 5:09 AM What is 249 minutes before 5:27 PM? 1:18 PM What is 416 minutes before 12:43 PM? 5:47 AM How many minutes are there between 7:24 AM and 7:57 AM? 33 How many
{ "pile_set_name": "DM Mathematics" }
/7, 1 What is z in 3888 + 81/2*z**3 + 3/4*z**4 + 2916*z + 2619/4*z**2 = 0? -24, -3 Let b = 15244/38085 - 2/7617. What is c in 2/5*c**5 + 2/5*c**4 - 2/5*c**2 + 0 - b*c**3 + 0*c = 0? -1, 0, 1 Let a(f) be the third derivative of -22*f**2 + 0 + 1/360*f**5 + 2*f + 1/24*f**4 - 7/36*f**3. Let a(b) = 0. What is b? -7, 1 Let s be (-54)/6 - (4396/(-126) - -15). Solve 8/9*q**2 + 0 + 8/3*q - s*q**4 - 98/3*q**3 = 0 for q. -3, -2/7, 0, 2/7 Let x(n) be the second derivative of n**6/60 - n**5/30 - n**4/12 + n**3/3 - 6*n**2 + 31*n. Let w(y) be the first derivative of x(y). Factor w(s). 2*(s - 1)**2*(s + 1) Let v(j) = -6*j - 1. Let o(f) = -4*f**2 - 8*f - 24. Let l(g) = -o(g) - 4*v(g). Factor l(q). 4*(q + 1)*(q + 7) Let z(k) = k**3 + 39*k**2 + 41*k + 123. Let i be z(-38). Let n(g) be the second derivative of -2/3*g**3 + 1/3*g**4 - i*g + 0 + 0*g**2. Factor n(u). 4*u*(u - 1) Let p = 14429 - 57713/4. Let d(h) be the second derivative of p*h**4 + 0 - 1/2*h**3 + 3/20*h**5 - 9/2*h**2 + 28*h. Factor d(v). 3*(v - 1)*(v + 1)*(v + 3) Let f be -4*9/(180/(-5)). Let l be -11 + f/((-9)/(-144)). Let 16/5*h**3 + 0*h**2 + 0*h + 4/5*h**4 + 0 - 2/5*h**l = 0. What is h? -2, 0, 4 Let n be 2/(-4)*(-1)/(3/18). Suppose j + v = -3, -8*v + n*v = -j + 21. Find g, given that j - 10*g - 3*g**2 + 5*g + 2 + 5*g**3 = 0. -1, 3/5, 1 Suppose 0 = 2*k - 4*o, -9*k - 2*o = -11*k + 4. Factor 5*b**k - 8*b**4 + 24*b**3 - 3*b**4 - 51*b**2 + 30*b + 3*b**4. -3*b*(b - 5)*(b - 2)*(b - 1) Let u(s) = s**3 - 125*s**2 - 7*s + 191. Let d(k) = -2*k**3 + 249*k**2 + 15*k - 392. Let n(j) = -6*d(j) - 13*u(j). Let n(i) = 0. Calculate i. -1, 1, 131 Let u(o) be the first derivative of 1/20*o**5 + 49 + 0*o**3 + 0*o + 0*o**4 + 0*o**2. Determine x, given that u(x) = 0. 0 Let y(h) be the third derivative of -1/6*h**6 + 5/4*h**4 - 101*h**2 + 1/42*h**7 + 0 + 0*h**3 + 1/12*h**5 + 0*h. Find b, given that y(b) = 0. -1, 0, 2, 3 Let y(b) be the third derivative of 1/240*b**6 + 0*b**4 - 15/2*b**3 + 18*b**2 + 0 + 0*b + 3/80*b**5. Let i(k) be the first derivative of y(k). Factor i(j). 3*j*(j + 3)/2 Let h(o) = -3*o**2 + 48*o + 57. Let f(w) = w - 1. Suppose 12*i + 3 = -33. Let b(m) = i*f(m) - h(m). What is u in b(u) = 0? -1, 18 Suppose 2*y - 3*y - 16 = 2*b, -b - y = 10. Let v be (b/18*0)/1. Factor 0*m**3 + 0*m**2 - 1/3*m**5 + v*m - 2/3*m**4 + 0. -m**4*(m + 2)/3 Let y = -447 + 491. Factor -57*v - y*v**3 - 24 - 6*v**3 + 22 - 108*v**2 - 3*v**3. -(v + 1)**2*(53*v + 2) Suppose -5*j = -3*c - 7, -5*j - 4 + 19 = 5*c. Find t such that 12*t**2 + 9*t**j - 19*t**2 + 2000 + 3*t**2 + 200*t = 0. -20 Factor 3/8*j**2 - 1755/4 + 57/8*j. 3*(j - 26)*(j + 45)/8 Let m(u) be the first derivative of u**5/20 - u**4/12 - 27*u - 7. Let g(p) be the first derivative of m(p). Factor g(h). h**2*(h - 1) Let a(b) be the second derivative of -b**5/160 + 11*b**4/64 + 31*b**2/2 - b + 18. Let s(n) be the first derivative of a(n). Factor s(q). -3*q*(q - 11)/8 Let w be ((-6)/(-20))/(159/795). Let d(z) be the third derivative of 1/2*z**4 - 1/10*z**6 + 1/10*z**5 + 0*z + 0 + 1/70*z**7 - 10*z**2 - w*z**3. Factor d(j). 3*(j - 3)*(j - 1)**2*(j + 1) Let s(l) = -17*l**2 + 13980*l - 4885989. Let g(v) = 25*v**2 - 20970*v + 7328985. Let m(y) = 7*g(y) + 10*s(y). Factor m(z). 5*(z - 699)**2 Suppose 5*x = 2*p + 2, -5*x + 5763*p - 5767*p = -56. Suppose 0 - 24/19*o**x + 24/19*o**2 + 2/19*o**5 - 28/19*o**3 + 26/19*o = 0. Calculate o. -1, 0, 1, 13 Let q be 46/6 - (-4)/12. Suppose -b - 2 = -5. Let -21*p**3 + 2*p**2 - b*p - 9*p**4 - q*p**2 + 0*p**3 - 9*p**2 = 0. What is p? -1, -1/3, 0 Let g(h) be the first derivative of 6*h - 2*h**3 - 3/4*h**4 + 3/2*h**2 + 15. Solve g(z) = 0. -2, -1, 1 Let f be (-31)/(1550/20) + (-614)/(-10). Factor -60*j - 494 - f*j - 119*j - 3106 + 33*j**2 - 37*j**2. -4*(j + 30)**2 Let a(k) = k**2 + 11*k - 98. Let l be a(-17). Find n such that -152*n**3 - 17*n**l - 20*n + 13*n**4 + 124*n**3 - 44*n**2 = 0. -5, -1, 0 Factor 264578*m**2 - 71 - 264626*m**2 - 4*m**3 + 191 - 68*m. -4*(m - 1)*(m + 3)*(m + 10) Solve 21*d**4 + 99*d**2 + 0 - 3/2*d**5 - 81/2*d - 78*d**3 = 0 for d. 0, 1, 3, 9 Let v(q) be the third derivative of 67*q**2 - 1/3*q**5 - 5/24*q**4 + 5*q**3 + 0*q - 1/24*q**6 + 0. Find a such that v(a) = 0. -3, -2, 1 Let a(h) be the third derivative of -h**6/30 + 7*h**5/15 + 73*h**4/6 + 130*h**3/3 - 2056*h**2. Determine v, given that a(v) = 0. -5, -1, 13 Let v = 7 - 4. Let -5*w**v - 248*w**4 - 3*w**3 - 243*w**4 + 737*w**4 - 247*w**4 - 7*w**2 = 0. Calculate w. -7, -1, 0 Let y(k) be the first derivative of 2*k**3/21 - 43*k**2/7 + 72*k + 1485. Factor y(h). 2*(h - 36)*(h - 7)/7 Suppose 5*x = 2*c - 36, 0*c + 2*x - 36 = -c. Let o(s) = s**2 + 20*s + 2. Let y be o(-20). Suppose 12*p + 22*p - c*p + p**y + 9 = 0. What is p? -3 Let o(f) be the third derivative of f**6/24 + 13*f**5/3 + 85*f**4/8 - 1440*f**2. Determine z so that o(z) = 0. -51, -1, 0 Let r(n) be the first derivative of n**5/10 + 35*n**4/8 + 79*n**3/3 + 61*n**2 + 60*n - 3653. Suppose r(t) = 0. Calculate t. -30, -2, -1 Solve -153 + 3/2*d**2 - 147/2*d = 0 for d. -2, 51 Solve 2/5*n**2 - 474/5*n + 0 = 0. 0, 237 Suppose -188/7*d**3 - 16/7*d**5 + 88/7*d**4 + 18/7 + 194/7*d**2 - 96/7*d = 0. What is d? 1/2, 1, 3/2 Suppose 4*u = -5*g + 13, -3*g + 12 = 2*u + 5. Let s(i) = 2*i. Let j(x) = -3*x**3 + 15*x**2 - 17*x + 9. Let t(a) = g*j(a) - 2*s(a). Factor t(m). -3*(m - 3)*(m - 1)**2 Let o(g) = -4268*g - 8473. Let d be o(-2). What is x in -81/2 - 49/2*x**2 - d*x = 0? -9/7 Let v(y) be the third derivative of -y**5/30 - 65*y**4/252 - 2*y**3/21 + 230*y**2 - 3. Factor v(n). -2*(n + 3)*(21*n + 2)/21 Let f(c) = -3 + 5 - 31*c**2 - 6*c + 32*c**2. Let l be f(6). Factor 5*w - 36 - 5*w**4 - 4*w - 13*w + 2*w**4 + 27*w**l. -3*(w - 2)**2*(w + 1)*(w + 3) Let y(j) = 11*j**2 + 17*j - 6. Let p(n) = -10*n**2 - 15*n + 5. Suppose -w = m - 10, -w - w = -m - 5. Let z(l) = w*y(l) + 6*p(l). Suppose z(a) = 0. What is a? -1, 0 Let x be 375/(-100) + -4 + 8 + (-3)/44. Factor -12/11*f**3 - 10/11*f**4 + 0*f**2 + 0*f - x*f**5 + 0. -2*f**3*(f + 2)*(f + 3)/11 Suppose 6*r = 212 - 164. Solve m**2 - 19*m**3 + 7*m**3 + r*m**3 + 5*m**3 = 0. -1, 0 Let i(y) be the third derivative of 7*y**5/270 + 41*y**4/108 - 110*y**3/27 + 6655*y**2. Factor i(j). 2*(j - 2)*(7*j + 55)/9 Let p(f) = f**2 + 8*f - 17. Let r be p(-10). Suppose -15 = r*l - 8*l. Determine a so that -6*a**2 - 14*a**2 + 5*a**3 - 64 - 4*a**l - 3*a**3 - 64*a = 0. -4, -2 Factor z**2 + 10 - 3*z**2 + 24 + 16 + 38*z + 10*z. -2*(z - 25)*(z + 1) Suppose -134 = 53733*j - 53800*j. Factor -4/3 + 18*l - 65*l**j + 169/6*l**3. (l - 2)*(13*l - 2)**2/6 Solve -489212*t - 4/5*t**3 + 1478940 - 6268/5*t**2 = 0 for t. -785, 3 Let w = -225745/6 - -75259/2. Let 32/3 + 2/3*h**4 + w*h**3 + 64/3*h + 16*h**2 = 0. What is h? -2 Let n be -19*6/(-6) + -5. Let g(j) = -j**3 + 14*j**2 + 3*j - 40. Let s be g(n). Suppose 6/11*i**s + 2/11 - 2/11*i**3 - 6/11*i = 0. What is i? 1 Let b = 12252 + -12247. Let p(y) be the first derivative of -1/2*y + 5/8*y**2 - 1/4*y**3 + 1/20*y**b - 1/16*y**4 - 15. Let p(l) = 0. Calculate l. -2, 1 Factor -62/11*d + 60/11 - 2/11*d**3 + 20/11*d**2. -2*(d - 5)*(d - 3)*(d - 2)/11 Let m be 187/(-1309)*(-1 + 1)*1*-1. Suppose m + 0*j - 3/2*j**4 + 3*j**3 + 0*j**2 = 0. Calculate j. 0, 2 Factor 2*u**2 + 368*u + 6*u**2 + 7559 + 8*u**2 - 15*u**2 + 26297. (u + 184)**2 Determine m so that -227*m**2 + 1128 - 870*m + 150*m**3 - 178*m**2 - 75*m**4 + 72*m**4 = 0. -2, 1, 4, 47 Let k(s) be the second derivative of s**4/3 + 28*s**3 + 304*s**2 + 2*s - 332. What is p in k(p) = 0? -38, -4 Factor 121 + 153*a - 13*a**3 - 66 + 23*a**3 + 107 - 13*a**3 - 12*a**2. -3*(a - 6)*(a + 1)*(a + 9) Suppose 3*w - w + 4*p = 28, 0 = -2*w + 3*p. Suppose -17 + 38 = 5*d - c, 2*c = -5*d + 33. Factor -t**2 + 0*t**2 - t**3 - d*t**4 + t**5 + w*t**4. t**2*(t - 1)*(t + 1)**2 Let 24/7*p**3 + 12/7*p**4 - 48/7*p + 192/7 - 3/7*p**5 - 96/7*p**2 = 0. What is p? -2, 2, 4 Let p(b) be the second derivative of -2*b**6/75 - 58*b**5/25 - 83*b**4/5 + 34336*b**3/15 - 175232*b**2/5 - 7*b - 464. Find g, given that p(g) = 0. -37, 8 Let j be -4 - (-3)/(-6)*12. Let w be 38/6 + j/(-15). Find h such that -6 + 5*h + 15*h**2 + 2*h**3 - 4*h**4 - h**4 - 4 - w*h**3 = 0. -2, -1, 1 Let p(i) be the first derivative of -i**6/3 + 6*i**5/5 + 11*i**4 - 8*i**3 - 72*i**2 - 6321. What is j in p(j) = 0? -3, -2,
{ "pile_set_name": "DM Mathematics" }
-76 Solve 6171*a + 111760 + 25127 - 12487 = -49*a for a. -20 Solve 2343*c + 3276 - 66218 = -454*c - 64*c for c. 22 Solve 49*d - 266*d = -8029 for d. 37 Solve -206*x = -581*x + 5414 + 3961 for x. 25 Solve 111095*d + 372 = 111188*d for d. 4 Solve 944*j + 11696 + 112 = -18908 - 10820 for j. -44 Solve -11858 = 916*f + 9892 + 9394 for f. -34 Solve -429*u + 357*u = -6120 for u. 85 Solve 140343 = -48695*r + 52118*r for r. 41 Solve 0 = -1530*a + 21391 + 22979 for a. 29 Solve -36*s - 38*s = -710*s - 94*s + 8030 for s. 11 Solve 2633*d - 118923 = -3030*d for d. 21 Solve 14433 = 2551*y - 79954 for y. 37 Solve 3140*y - 2225 + 522 = 719 + 718 for y. 1 Solve 1447 = 231*i - 568 + 167 for i. 8 Solve -13770 = -46*a - 201*a - 16*a + 8*a for a. 54 Solve 17970496 = 130*m + 17977646 for m. -55 Solve 0 = 1322*i + 20511 - 86611 for i. 50 Solve 968 = -6*o + 812 for o. -26 Solve -317*o + 14928 - 3833 = 0 for o. 35 Solve 851*s + 319 - 3562 = 373*s + 431*s for s. 69 Solve -2902808*y + 2902802*y + 34 = -314 for y. 58 Solve -4496*r = 51701 + 2251 for r. -12 Solve -32*u + 11*u + 362455 = 73*u + 372889 for u. -111 Solve -63529226 = 11*r - 63529644 for r. 38 Solve 1515275 = -141*x + 1516262 for x. 7 Solve -73389*h = -73134*h - 1530 for h. 6 Solve 754*i = -45716 - 32220 + 13092 for i. -86 Solve 1945*z - 7819 = 98938 + 7998 for z. 59 Solve 7207 + 2246 - 77 = 608*i - 5824 for i. 25 Solve 2285 + 1498 + 1739 = 502*f for f. 11 Solve -561*b - 309*b + 79808 = 377*b for b. 64 Solve 115*p + 150 - 284 + 33 = 589 for p. 6 Solve -2505*h + 109818 = -817*h + 1384*h + 39162 for h. 23 Solve 3*r - 396*r - 2669 - 922 = 120*r for r. -7 Solve 0 = -131631*p + 131534*p + 5141 for p. 53 Solve 1291*s - 726*s - 378 = 592*s for s. -14 Solve 5869*v - 1345210 = 21695*v for v. -85 Solve -908*z = 455*z - 391*z + 6804 for z. -7 Solve 22*l + 130*l - 143*l = -241*l + 32000 for l. 128 Solve -383*d + 113590 - 117037 = 0 for d. -9 Solve -219*h - 24990 = 150*h + 684*h - 220*h for h. -30 Solve 1481 + 1543 = -63*h for h. -48 Solve 27*m - 616 = -61*m for m. 7 Solve 18*g + 33*g = 13*g - 195 + 5 for g. -5 Solve -749*c = 4986*c - 150807 - 49918 for c. 35 Solve 5932*p + 20855 + 104150 = 2184*p - 77387 for p. -54 Solve -731544 = 36586*j - 43758*j for j. 102 Solve -2925*n + 100363 = -34187 for n. 46 Solve -24672*d = -29604*d + 39456 for d. 8 Solve 0 = -4646*u - 4072*u + 289117 + 181655 for u. 54 Solve 2935*l = 2750*l + 3700 for l. 20 Solve -57*x + 33*x - 2*x = -110*x - 4116 for x. -49 Solve 2659 = 70*s + 292*s + 488 - 1811 for s. 11 Solve 418 - 12642 = 275*b - 84*b for b. -64 Solve 3773 = 1944*p - 10810 - 1492 + 2467 for p. 7 Solve 0 = 85*r + 4797 - 7092 for r. 27 Solve -112*w + 401*w - 62*w + 410*w - 33761 = 0 for w. 53 Solve 987*j - 18771 - 15004 = -364*j for j. 25 Solve 372*m - 12052 + 6151 = 12327 for m. 49 Solve 0 = -8700*u + 8650*u + 29 + 21 for u. 1 Solve 1244*r + 123298 = -7322 for r. -105 Solve -106*k - 71*k + 48*k - 12190 = 101*k for k. -53 Solve 0 = -178*m + 226*m - 240 for m. 5 Solve 38*u + 882 = 18*u + 31*u + 7*u for u. 49 Solve 43*k - 3304 = 12*k - 25*k for k. 59 Solve -1151*a + 57156 = 442*a - 294*a for a. 44 Solve 4042 = -74*u + 206*u - 9818 for u. 105 Solve -893*m + 641*m + 3492 + 288 = 0 for m. 15 Solve 30*p + 355 = -337 - 718 for p. -47 Solve -184 = -7*t + 80 + 65 for t. 47 Solve -84 - 115 - 329 = -24*x for x. 22 Solve 766*l + 53400 = 92466 for l. 51 Solve -560*j - 12867 - 18970 - 27526 = 1487*j for j. -29 Solve 12071 = -220*n + 177*n + 692*n + 1687 for n. 16 Solve -96*p + 342*p - 598*p + 9504 = 0 for p. 27 Solve -102*n - 125*n - 64*n + 10707 = -42*n for n. 43 Solve 690 = 105*n + 2154 + 46 + 2165 for n. -35 Solve -1305*q + 2071*q + 109104 = -1507*q for q. -48 Solve -4386*w + 134086 + 141637 = 4254*w + 85643 for w. 22 Solve 198*t + 6908 + 8290 = 3881 - 4919 for t. -82 Solve 0 = -1319*i + 395*i - 4231 + 40267 for i. 39 Solve -846*n + 347*n = -416*n - 1660 for n. 20 Solve 0 = 972*s + 880 - 1076 + 1679 + 2405 for s. -4 Solve 5471*a - 5103*a + 17296 = 0 for a. -47 Solve 1953*k + 27406 = -9701 for k. -19 Solve 9*j + 132132 = 96*j + 140397 for j. -95 Solve 75*p - 4040 - 25 - 60 = 0 for p. 55 Solve -3656*p - 67044 = -436300 for p. 101 Solve 410*r + 1803*r = -795*r + 51241 - 141481 for r. -30 Solve -554*o + 190*o + 190*o = -209*o - 3990 for o. -114 Solve 64*x - 117*x - 46406 = 114*x - 53086 for x. 40 Solve -493*i - 12525 = 15505 - 7324 for i. -42 Solve 63*m - 45861 + 46050 = 0 for m. -3 Solve 2641*l - 96096 = 457*l for l. 44 Solve -1226 + 632 = 9*y + 8*y + 16*y for y. -18 Solve 0 = -163*j - 986*j - 1236*j + 571 + 90059 for j. 38 Solve -151*y - 280*y = -35*y + 190*y + 5860 for y. -10 Solve 3505 = -422*a - 16329 for a. -47 Solve 1021*w + 47454 + 5628 = 9179 for w. -43 Solve -95969 = 1824*j - 226*j - 8079 for j. -55 Solve -113*r - 45*r + 198 = -9397 + 1695 for r. 50 Solve -621*z + 130159 + 6351 = -1862*z for z. -110 Solve -3360 = 13*t - 3971 for t. 47 Solve 101*z - 1671072 = -1671577 for z. -5 Solve -19 = 39*a - 47 - 89 for a. 3 Solve 0 = -118*d + 4937 + 4112 - 6925 for d. 18 Solve -20*h + 16*h - 21*h + 77*h + 104 = 0 for h. -2 Solve 645*g - 2772 = -17607 for g. -23 Solve 1302 = 299914*d - 299945*d for d. -42 Solve -112*j = 28*j + 89*j + 1032*j - 26481 for j. 21 Solve 941*j - 20404 + 9462 - 20232 = 30932 for j. 66 Solve -194*b - 24457 = -18637 for b. -30 Solve 1350*q - 3189*q - 1857*q = -151536 for q. 41 Solve -489*z - 91*z - 15288 = 57*z for z. -24 Solve 4933*z - 4987*z - 470 - 1378 - 1068 = 0 for z. -54 Solve -107*p - 1536 = -2*p - 41*p for p. -24 Solve -9666*l = -99518 - 219460 for l. 33 Solve 20216 = -2907*h + 76670 + 4238 + 38146 for h. 34 Solve 0 = 162*k - 130553 + 135413 for k. -30 Solve -71*y = -100*y - 3 - 26 for y. -1 Solve 1037*f + 1000*f - 24367 = 67298 for f. 45 Solve -681*t = 81*t + 18288 for t. -24 Solve 105*x + 8217 = 612*x - 113*x + 519*x for x. 9 Solve -2116*q - 56942 = 15002 for q. -34 Solve 39508 + 28405 + 8887 = 2156*p + 916*p for p. 25 Solve -1678*j = -5800*j - 37098 for j. -9 Solve -2087*a + 39915 + 11955 = 643*a for a. 19 Solve -2943*t + 44364 = 2923*t + 577455 + 194293 for t. -124 Solve 0 = -744095*w + 744100*w - 15 for w. 3 Solve 138 - 1029 = 99*r for r. -9 Solve 2746 - 53542 = -1082*k - 1921*k + 102357 for k. 51 Solve -36*b + 97*b - 2870 = -21*b for b. 35 Solve 0 = 15*x - 47 - 55 - 93 for x. 13 Solve -79*h - 9153 - 8425 = 438*h for h. -34 Solve -297*u + 393*u + 569*u - 31920 = 0 for u. 48 Solve -16180*l - 69982 = -214729 - 583353 for l. 45 Solve -27*c + 14*c - 23*c + 540 = 0 for c. 15 Solve -22*m + 7896 = -32*m - 84*m for m. -84 Solve -6662416 = 301*n - 6661212 for n. -4 Solve -89*x - 2310 = 85*x + 111*x - 243*x for x. -55 Solve 214*g - 1945 = -40 + 3445 for g. 25 Solve -896*g - 272 - 352 = 272 for g. -1 Solve 2284*p = -1499*p - 3503*p + 510020 for p. 70 Solve 33*g + 44*g + 174*g + 295*g + 13650 = 0 for g. -25 Solve -4255*s = -4244*s + 853 + 137 for s. -90 Solve -50*y - 21*y - 3396 + 1463 = -726 for y. -17 Solve -2109 + 1258 = 46*t + 115 for t. -21 Solve -940*s - 34012 = -2486*s for s. 22 Solve 57*h + 32550 = 1359*h for h. 25 Solve -1080 = -66*x + 184 + 1574 for x. 43 Solve 3550*p - 117106 = -1606*p + 339509 - 131787 for p. 63 Solve -4290 = -38665*r + 38832*r + 10406 for r. -88 Solve -21260*z - 21232*z + 2373 = -42513*z for z. -113 Solve 0 = -1972*p - 34352 + 134924 for p. 51 Solve -1395*z + 10431 = -1944*z for z. -19 Solve 237756 = -4786*k + 89194 - 220360 - 23530 for k. -82 Solve -1458 = 8*p + 43*p + 735 for p. -43 Solve 711*u = -1570 - 10912 - 40843 for u. -75 Solve 36*o - 7156 + 1766 = -11*o - 51*o for o. 55 Solve -3834*r = 4153*r - 2924*r - 46792 - 74720 for r. 24 Solve 72*g + 51*g + 16*g = 2*g - 4658 for g. -34 Solve -15*m = 600 - 120 for m. -32 Solve 9130*x - 10305*x = 49350 for x. -42 Solve -1071*f - 709344 = -750*f + 1069*f + 5999*f for f. -96 Solve -249 = 64*z + 7*z + 1524 + 1564 for z. -47 Solve -1222 = -832*j - 42858 - 53212 for j. -114 Solve -168*i + 1951*i + 452*i + 125072 + 53728 = 0 for i. -80 Solve -341*i - 260*i - 37598 + 11489 = 366*i for i. -27 Solve 200863*z - 138360 = 203169*z for z. -60 Solve 276*f + 361*f + 236*f - 739*f = -7906 for f. -59 Solve -1210261 = -564*s - 1176985 for s. 59 Solve 730*m - 13293 = 97*m for m. 21 Solve -212*h = 4184 - 1216 for h. -14 Sol
{ "pile_set_name": "DM Mathematics" }
6070.23 -3*1135319 -3405957 3 * -2504279 -7512837 Work out 2 * 141855236. 283710472 Work out 22628 * -0.018. -407.304 What is -288.7102 times 0.03? -8.661306 What is 5.4 times 1001.66? 5408.964 1249*1869 2334381 Product of -0.5 and 0.3932548. -0.1966274 -102.14013 * -2 204.28026 1.165 times -128771 -150018.215 Calculate 0.09*-2382471. -214422.39 -52848363*11 -581331993 What is -70 times 11.92511? -834.7577 -0.2 * -3277549 655509.8 -7*-31108 217756 Product of -5032 and -2. 10064 7077 times -0.0561 -397.0197 Calculate -73028329.3*0.4. -29211331.72 -2.618183 * -71 185.890993 Calculate -907338*0.29. -263128.02 What is 7 times 1038569? 7269983 What is the product of -2085 and -1017? 2120445 Multiply -436566 and 35. -15279810 Multiply -59921372 and 0.2. -11984274.4 0.3*-0.054672 -0.0164016 Work out -27.33 * 3513. -96010.29 -3 times 0.039909854 -0.119729562 Work out 0.58 * -0.025593. -0.01484394 Work out 9 * 1606858. 14461722 What is the product of -309362 and -2.59? 801247.58 Calculate -4158113*-0.1. 415811.3 What is the product of -3.05090803 and -0.4? 1.220363212 Calculate 2813352*8. 22506816 2.57 * 1732.57 4452.7049 Multiply -62.758473 and -1. 62.758473 Multiply -994.69 and 0.09. -89.5221 Product of 0.5 and 70.3058. 35.1529 -0.123 times -2535.888 311.914224 Product of -2 and 21.710178. -43.420356 Work out 0.10674933 * -0.3. -0.032024799 Multiply 2937570 and -3. -8812710 Multiply -0.32375 and -1.076. 0.348355 Calculate -9203992*7. -64427944 What is 0.3 times 297263976? 89179192.8 What is 0.02832 times 0.515? 0.0145848 Multiply -11 and 37555.86. -413114.46 -1322*186.18 -246129.96 0.0593 * 0.11152 0.006613136 -39660 * 10.18 -403738.8 Calculate -2704*-332. 897728 Calculate -44.1773*40. -1767.092 Multiply -0.0483608377 and 3. -0.1450825131 Calculate -6159.18*-68. 418824.24 What is 12 times 504318.8? 6051825.6 Work out -81.3 * 66203. -5382303.9 What is the product of 0.01 and 36464? 364.64 2931*-0.124 -363.444 Product of -70904 and 0.84. -59559.36 Calculate 192549*1.705. 328296.045 -3.503396 times 3 -10.510188 Calculate 0.1*-38695615. -3869561.5 Multiply 316568.6 and -102. -32289997.2 Calculate -3.19*-497302. 1586393.38 -4 times -2.3735108 9.4940432 Work out 4142 * 2.4883. 10306.5386 What is -17749 times -27219? 483110031 What is the product of 0.066 and -1.2028925? -0.079390905 What is the product of 114961 and 265? 30464665 276468 times 0.17 46999.56 Multiply -809.2 and 709.96. -574499.632 What is 1.2 times 109.155? 130.986 Product of 0.914915 and 9. 8.234235 Calculate 5*-53311305. -266556525 -0.5 times 6.25266 -3.12633 364560943 times 2 729121886 Work out -0.111601 * -6.72. 0.74995872 -129720*34.1 -4423452 3955 * 2501 9891455 Calculate -0.9*-3.011876. 2.7106884 Work out -0.2 * -6514177.2. 1302835.44 -102807259 * 0.5 -51403629.5 What is -4105238 times 53? -217577614 What is the product of 1 and 0.008060541? 0.008060541 Work out 90815 * 0.1. 9081.5 Product of 3.7 and 958.56. 3546.672 What is the product of -8377 and -3313? 27753001 Calculate 1134559*-1.5. -1701838.5 What is -337.7 times -1532? 517356.4 Multiply -1.8 and -13401.997. 24123.5946 Multiply -0.45 and 163.92037. -73.7641665 -0.2 * -15021467 3004293.4 Multiply -279275.82 and -0.4. 111710.328 Multiply -15401 and -0.599. 9225.199 26 times -4250566 -110514716 0.24 * 2463774 591305.76 Calculate -39272.553*0.4. -15709.0212 Work out 261.7 * -72502. -18973773.4 What is the product of 19 and 50.9342? 967.7498 10191416 times 4 40765664 3 times -37299275 -111897825 -1 times 2140.68 -2140.68 What is the product of 5 and 132.7779? 663.8895 1439*119 171241 13.68431*-1.4 -19.158034 What is -0.174 times 56895? -9899.73 Work out 0 * 87127513. 0 Work out -4.6869 * -2.5. 11.71725 Product of 678108 and -17.5. -11866890 -155 * 0.49106 -76.1143 Calculate -12281484*54. -663200136 -53.1*85.562 -4543.3422 What is the product of 5 and 1601120? 8005600 Multiply 0.5 and -884285. -442142.5 Work out -1.305 * 128451. -167628.555 What is -2.19771 times -0.04? 0.0879084 1687 * -74 -124838 12 times 16744044 200928528 What is the product of -404 and 11379? -4597116 11178602*-5 -55893010 -1150247 * 66 -75916302 Work out 0.06 * -946971. -56818.26 32.25 times -33142 -1068829.5 Product of -13963 and 0.72. -10053.36 Product of -101.936219 and -2. 203.872438 0.7102 * 1355 962.321 Product of -491.029 and -109. 53522.161 55579290 * 0.5 27789645 Multiply 1.2157127 and 20. 24.314254 Multiply 111 and 34.0414. 3778.5954 -142.3*-0.26216 37.305368 Calculate -5366027*-2. 10732054 Calculate -0.6*0.7103047. -0.42618282 What is 0.5 times 7062.73? 3531.365 15.842214 times -0.4 -6.3368856 What is the product of -276032 and -15.4? 4250892.8 Product of 0.4 and -4297713. -1719085.2 Multiply -1.437 and -4126. 5929.062 Calculate -21733*-3883. 84389239 5*-3.874529 -19.372645 What is 0.07 times -88986.7? -6229.069 What is 0.112892 times 2? 0.225784 What is 3 times -0.0669743? -0.2009229 Product of 4326.92744 and -4. -17307.70976 Work out 2.8640134 * 0.6. 1.71840804 0.4 * -1643334 -657333.6 Multiply -2 and 882245. -1764490 23*-194523.1 -4474031.3 -468.28238 * 0.03 -14.0484714 14 * 14.351 200.914 -0.1 times -11067.69 1106.769 What is 0.192 times 15162? 2911.104 Multiply 0 and -55369745. 0 What is -302 times 9.8569? -2976.7838 What is the product of -0.063 and -2420815? 152511.345 -1359005 * -243 330238215 Calculate 0.0081*268278. 2173.0518 Multiply -21.3333 and 33.3. -710.39889 Product of -143 and 9487.28. -1356681.04 -201 * -3047.22 612491.22 Work out 2418994 * -25. -60474850 What is the product of 5.8092344 and -0.3? -1.74277032 25.5 * 76.057 1939.4535 Multiply -242577 and -7.81. 1894526.37 Product of 10004995 and -4. -40019980 What is the product of -4547 and -48? 218256 Calculate -0.141566*0.0793. -0.0112261838 52593 times -54.6 -2871577.8 Product of 1180319 and 5.3. 6255690.7 What is the product of 3.44313543 and 2? 6.88627086 Multiply 759500.44 and 4. 3038001.76 31.3815 times -0.754 -23.661651 Product of 231585 and -34. -7873890 What is 1.2 times 93359.852? 112031.8224 What is the product of -28602882 and 0.09? -2574259.38 Work out -269 * -90.66. 24387.54 What is 4 times 12605397? 50421588 Multiply 129552 and 31.33. 4058864.16 Product of 660 and -589983. -389388780 3454491 times -1.34 -4629017.94 -17.3 times -74327 1285857.1 Calculate -0.03*460761. -13822.83 Multiply -2 and 209502238. -419004476 Calculate -4.8*-3420775. 16419720 What is 884137 times -180? -159144660 Multiply 3.1 and -39579450. -122696295 What is -0.06 times 2374559? -142473.54 What is the product of -1.7 and -1.30883? 2.225011 What is 10235507 times 29? 296829703 Product of -71.49523 and 0. 0 Work out -676329 * 0.071. -48019.359 What is the product of 61442 and 0.192? 11796.864 What is -2 times 202.47201? -404.94402 -17469*-706 12333114 What is the product of -3026 and -661.83? 2002697.58 2 times 5907249 11814498 Product of -229694.179 and 0.4. -91877.6716 What is the product of -29625 and -5136? 152154000 What is the product of -21.80156 and 0.77? -16.7872012 Calculate 46009950*0.2. 9201990 What is 0.1 times 816933? 81693.3 Calculate -24331.53*-3.9. 94892.967 Calculate 152.98*44.02. 6734.1796 What is 417.3 times 508? 211988.4 Calculate 168207*60. 10092420 14734.95 times -574 -8457861.3 1.93755 * 1841 3567.02955 What is -658127 times -10? 6581270 Work out 166.7348 * 698. 116380.8904 Calculate -3.08367*13. -40.08771 What is 0.468 times 54646? 25574.328 Product of 582480 and 55. 32036400 Work out -1204.89 * -101. 121693.89 -12 times -679.081 8148.972 -5 times 84792110 -423960550 What is the product of 31 and 16.92483? 524.66973 1437.444 * 0.09 129.36996 1.1 * 5076421 5584063.1 Work out -0.17 * 991.0284. -168.474828 What is -889 times -53234? 47325026 -23514249 * 37 -870027213 -3131491 * 0.4 -1252596.4 -2.33587*-531 1240.34697 2.6 * -274896 -714729.6 Calculate 0.1*-9241.82. -924.182 0.032*-0.02467398 -0.00078956736 -19173957 * -0.07 1342176.99 -0.02 * 23861854 -477237.08 Work out 0.4 * 2605052. 1042020.8 13.44719 * 5 67.23595 What is -71640 times 14278? -1022875920 Calculate -3277619*0.1. -327761.9 -25360658 * 0.9 -22824592.2 -0.13*845735 -109945.55 -0.4 times 1350.1007 -540.04028 What is 3 times -1290965? -3872895 Product of -2749 and -2.37. 6515.13 Calculate 1*272302107. 272302
{ "pile_set_name": "DM Mathematics" }
l + 13, 3*l + 15 + h = 3*v. What is the units digit of v? 5 Suppose c + 6 = 4*c + 3*k, 0 = -2*c - k + 6. Suppose -c*j - 510 = -9*j. What is the units digit of j? 2 Let n be 8 + (-1 - -2) + 2. Let j(i) = i**2 - 8*i + 10. What is the tens digit of j(n)? 4 Let k = -848 + 6249. What is the tens digit of k? 0 Suppose 0 = w - 3, 3*t - 5*w - 1 + 10 = 0. What is the units digit of 20/16 + t/(-8)? 1 Let d be (13 + -1)/(8/4). Let m(o) = -o**3 + 10*o**2 - 7*o - 5. What is the units digit of m(d)? 7 Suppose 0 = -5*b - 3*m + 3945, 5*b - 2*m = -m + 3965. What is the hundreds digit of b? 7 Let r = 5 + 10. Let f = r + -12. Suppose -w - 3 = -5*i - 12, -4*w - f*i + 13 = 0. What is the units digit of w? 4 Let l(j) be the first derivative of 2*j**3/3 - 3*j**2/2 - 11*j + 6. What is the units digit of l(7)? 6 Suppose 17*y - 111 = 14*y. Suppose 0 = k + k - 40. Let f = y - k. What is the tens digit of f? 1 Suppose 0 = -4*c + 899 + 961. What is the tens digit of c? 6 Suppose -f + 968 = 5*p, 4936 = 9*f - 4*f - 7*p. What is the units digit of f? 3 Suppose -148 = -28*f + 2204. What is the units digit of f? 4 Let u = -64 - -352. What is the hundreds digit of u? 2 Let z(f) = -23*f - 2*f**2 - 15 - 4*f**2 + 6*f**2 - 2*f**2. What is the tens digit of z(-10)? 1 Suppose -7 = -3*w - 4. Let s = w + 11. What is the tens digit of s + (2 - (1 - 2))? 1 Let i = 9 + 31. What is the units digit of i? 0 Let v = -8 - -16. Let n = 4 + v. Suppose -b + 5*b - n = 0. What is the units digit of b? 3 Let v(r) = 2*r - 4. Let y = -9 - -15. Let b be v(y). Suppose b*g - 4*g = 156. What is the tens digit of g? 3 Let s(k) = -3 + 6 - 1 + 14*k**2 + 11*k + 2. What is the units digit of s(-4)? 4 Let m = 23 + -40. Let k = m - -22. Suppose 0*v = -k*v + 95. What is the units digit of v? 9 Suppose -5*u - 3*n + 1458 + 1401 = 0, 4*u + n - 2283 = 0. What is the hundreds digit of u? 5 Suppose -7*v = -6*v + 15. Let l = v + 26. Suppose -g + c + 8 = -7, -g + l = c. What is the units digit of g? 3 Suppose 0 = 18*f + 933 - 3363. What is the units digit of f? 5 Suppose 0*k = 3*k + 4*k. Suppose -85*p + 80*p + 1210 = k. What is the hundreds digit of p? 2 Suppose 6 + 9 = 5*t. Suppose 221 - 77 = t*i. What is the units digit of i? 8 Let f(o) = 5*o**2 - 2*o + 4. Let t be f(-5). Let p = 144 - t. What is the units digit of p? 5 Suppose -16*n - 4505 = -23209. What is the units digit of n? 9 What is the tens digit of 26254/10 - 3/(-30)*6? 2 Let x(f) = -846*f**3 + 2*f**2 - 11*f - 12. What is the units digit of x(-1)? 7 Let p = -2799 + 1944. What is the units digit of 3/(-6) + p/(-6)? 2 Suppose -4*s + 2*s + 12 = 0. Suppose 0 = -q + 2 - 0, -5*q - 26 = 4*w. What is the units digit of 4/s + (-39)/w? 5 What is the tens digit of (9 + 15)/(2/19)? 2 Suppose 26*s = 29*s - 4974. What is the tens digit of s? 5 What is the hundreds digit of 1159/38*(-2 - -8)? 1 Let v(l) = l**3 + 4*l**2 + 8*l + 8. Let n be v(-4). What is the units digit of (-339 - n)*1*-1? 5 What is the tens digit of (9/(81/9))/((-3)/(-6021))? 0 Let m(o) = o**3 - 9*o**2 + 4*o. Let u be m(5). Let d = -50 - u. Suppose -5*f + 0 = -d. What is the units digit of f? 6 Let n be 150/(-12)*(-276)/15. Suppose n = 2*r + 3*r. What is the units digit of r? 6 Suppose 30*z = -13276 + 59236. What is the tens digit of z? 3 Let o(r) be the second derivative of -r**5/20 + 17*r**4/12 + 5*r**3/6 + 11*r**2 + 18*r. What is the hundreds digit of o(17)? 1 What is the hundreds digit of ((-16)/(-14))/2 + 53996/28? 9 Suppose 10624 + 6344 = 14*f. What is the thousands digit of f? 1 Suppose -2*m + 5*m + 156 = 0. Let y = m - -30. What is the tens digit of -2*(-2 + -2 + y)? 5 Let j = -102 - -61. Suppose 86 + 234 = -5*f. Let g = j - f. What is the units digit of g? 3 Suppose -5*w = 3*p - 13712, -18*w = -20*w - 3*p + 5492. What is the hundreds digit of w? 7 What is the hundreds digit of (21/(-28))/(-1) + 14634/8? 8 Suppose 15 = -10*l + 13*l. Suppose -l*n + 572 = -458. What is the hundreds digit of n? 2 Suppose -3*u + 1162 + 1093 = -5*h, 0 = 4*u - 5*h - 3015. What is the hundreds digit of u? 7 Let t(g) = 8*g**3 - 18*g - 19. What is the units digit of t(5)? 1 Let n = -680 + 2511. What is the hundreds digit of n? 8 Let f(j) = 2*j**3 + 3*j**2 + 23*j + 3. What is the hundreds digit of f(11)? 2 Suppose -5*z = 3*q - 14 - 17, 2*z - 10 = 0. What is the units digit of ((-190)/(-25))/(q - (-117)/(-60))? 2 Suppose 0 = -p - 4*p. Suppose t + 2*r - 57 = -p*t, 3*t = 3*r + 171. Suppose -2*a = -3*z - 0*a + 68, -a = 2*z - t. What is the tens digit of z? 2 Let r(z) = 2*z - z**3 + 14 + 21 - z**2 - z. Let t be r(0). Suppose -n + t = 9. What is the tens digit of n? 2 What is the units digit of (3 + (1 - -1))/(1/2)? 0 Let f(z) be the second derivative of -4*z**3/3 + 7*z**2/2 - 9*z. Let a be f(3). Let k(s) = -2*s + 12. What is the units digit of k(a)? 6 Let t = -455 + 2009. What is the thousands digit of t? 1 Let w(b) be the second derivative of -5*b**3/6 + 17*b**2 - 5*b. Let v(d) = 3*d - 23. Let u(l) = -8*v(l) - 5*w(l). What is the units digit of u(11)? 5 What is the tens digit of ((-1091)/(-2))/((-37)/(-148))? 8 Suppose -3*v = 3, 2*v = 3*h - 4*h - 17. Let s(a) = a**2 + 15*a + 15. What is the units digit of s(h)? 5 Let k(f) = -34*f**3 + 4*f**2 + 5. Let t(o) = 51*o**3 - 6*o**2 - 7. Let l(m) = 7*k(m) + 5*t(m). What is the hundreds digit of l(2)? 1 Let m(x) = 30*x**2 - 8*x + 18. What is the hundreds digit of m(4)? 4 Let g = 1601 - 831. What is the hundreds digit of g? 7 What is the units digit of (-5)/(1670/(-278) - -6)? 5 Let b = 42 + -41. What is the tens digit of 64/(0 - b - -3)? 3 Suppose -l + 666 + 2248 = -2*s, -4*l - s + 11647 = 0. What is the hundreds digit of l? 9 Suppose 5*u = -0*u + 65. Suppose u = -h - 5*v, 4*h - 11 = 3*v - 2*v. What is the units digit of h? 2 Suppose -3*m - 30 = -15. What is the hundreds digit of (5 - 1743/15)*m/2? 2 Let h be 2/(-14) + 213/21. Suppose -2540 = -h*q - 950. What is the units digit of q? 9 Suppose -d + 222 = -g, -4*d - 3*g + 419 = -2*d. Suppose d = a - 102. What is the tens digit of a? 1 Suppose 0 = -5*i + 7*i + 4. Let w be (-1)/(-2) - (-44)/8. What is the tens digit of i*((-63)/w - 2)? 2 Suppose 3*q = 4*r - 415, 0*r - q - 421 = -4*r. What is the units digit of r? 6 Let t = -5 + 16. Let z = 17 - t. Suppose 2*u = z*u - 28. What is the units digit of u? 7 Suppose 9*j - 34 = -7. What is the units digit of (j/1)/(-6) - 467/(-2)? 3 Let c(m) = -m**3 - 9*m**2 + 5*m + 2. Suppose -10 = a - 0. What is the units digit of c(a)? 2 Let v(k) be the third derivative of k**7/2520 + 11*k**6/240 - 2*k**5/15 - 11*k**2. Let l(d) be the third derivative of v(d). What is the tens digit of l(0)? 3 What is the units digit of (-6348)/(-6)*(-4)/(-8)? 9 Let q(j) = 54*j - 2. Let u be q(2). Suppose -3*v - 4*g + 318 = 0, -u = -v + 5*g - 0*g. Let n = 153 - v. What is the units digit of n? 7 Let l be (0 - 1)/((-17)/289). Suppose l = -5*o + 6*o. Suppose -3*m + 1 = -d + 18, m = d - o. What is the tens digit of d? 1 Let d be 5/(-1)*18/(-30). Let b(l) be the second derivative of l**4/12 - l**3/3 + 3*l. What is the units digit of b(d)? 3 Let i = -17 - -22. Suppose -2*w = -i*d + 45, -d - 69 = 5*w + d. What is the units digit of ((-16)/6)/(2/w)? 0 Suppose 4*l = 0, l + 151 + 309 = 5*k. Suppose -10*i - k = -572. What is the tens digit of i? 4 Suppose 0 = 28*w - 31*w + 2097. What is the units digit of w? 9 Let d(w) = 3*w - w**3 - 2 + 0 + 2*w**2 - 2. What is the tens digit of d(-4)? 8 Let w(v) = -v + 53. Suppose -12*x = 80 + 52. What is the units digit of w(x)? 4 Let z = -248 + 134. Let t be z/(3*2/6). What is the units digit of 9/15 + t/(-10)? 2 Let w(t) be the second derivative of -13*t**4/12 + t**3/2 - t**2 + 8*t. Let q be w(1). What is the units digit of ((-9)/6)/(q/64)? 8 Suppose 0*o - 6*o = 18. What is the tens digit of -3 - (o + 1 - 73)? 7 Let n = 36 + -96. What is the units digit of n/(-24) - 1/(-2)? 3 Suppose -r - 4*x + 634 = 0, -x - 190 = -r + 464. What is the tens digit of r? 5 Suppose 0 = 5*u - 17 - 13. Suppose -w - 3*f = -30, -5*w + 2*f + 110 = 7*f. Suppose -2*g + w + u = 0. What is the units digit of g? 2 Let k(q) be the third derivative of -25*q**4/24 - 8*q**3/3 + 29*q**2. What is the tens digit of k(-6)? 3 Let o = 6 + -10. Let v be -6*1/o*-4. Let f(d) = -d**3 - 6*d**2 + 5. What is the units digit of f(v)? 5 Suppose 6
{ "pile_set_name": "DM Mathematics" }
3922/(-555)*35/(-32). 48 Suppose 0 = -o - 3*x + 2*x - 4, 8 = 2*x. Let y = 20 + o. Calculate the smallest common multiple of y and 48. 48 Suppose w - 33 = -3*w - 5*p, 0 = -4*w + 7*p + 69. Calculate the lowest common multiple of w and 513. 2052 Suppose -49*a = -0*a - 11319. What is the smallest common multiple of 33 and a? 231 Let s = 106 - 60. Find the common denominator of 149/18 and (-12)/(-42)*s/(-4). 126 Suppose y - 6 = 2*y. What is the common denominator of -34/7 and 2/y + 164/(-120)? 70 Suppose u + 14 = 6*u - q, 2*q = 4*u - 10. Suppose -3*a + u = -21. Calculate the least common multiple of (12/3)/(-3 + 7 + -2) and a. 8 Suppose 0 = 2*m - 7*m + 3*u + 10, -2*u = 2*m + 12. Let l be ((-40)/160)/((-1)/84) + 0. Let v = l + m. Calculate the least common multiple of v and 6. 60 Suppose -4*a = 4*v + 27 - 75, 4*v - 51 = -5*a. What is the smallest common multiple of v and 4? 36 Suppose -4*s + 231 + 57 = 0. Let j be s/20 - (-6)/(-10). Suppose 0 = f - 2*l - 26 + 2, -f + j*l = -25. What is the least common multiple of f and 20? 220 Let f = -35515 - -1278415/36. Find the common denominator of f and 145/324. 324 Let h = -144/235 + 18497/53580. Let o = 1/8421 - 25265/16842. What is the common denominator of h and o? 228 Let s be (-1 + 2)/((-22)/(-1188)). Calculate the common denominator of ((-84)/s)/(3/((-78)/(-8))) and -79/8. 72 Suppose 4*z + 3*o = 15 + 3, 0 = 5*z - 5*o - 5. Let h = 4 + -5. Calculate the least common multiple of -1 - h/(2/24) and z. 33 Let j be 60*3/(-2 + 3). Calculate the common denominator of 14 and 895/j + (-2)/(-8). 9 Let b be (3 - -10) + -4 + 3. Let s = -75/272 + 8453/816. Find the common denominator of s and (-101)/b + (-27)/36. 12 Let r(g) = 9*g. Let c(b) = -b - 8. Let j(f) = 2*f + 15. Let l(d) = 7*c(d) + 3*j(d). Let v be l(-13). Calculate the smallest common multiple of r(v) and 14. 126 Let c = -3035/348 + 439/29. Find the common denominator of c and 23/90. 180 Let l = 6 + -4. Suppose -l = -c - 0*c. Suppose 5*y = n + 2 - 25, -4*n - 5*y = -17. Calculate the smallest common multiple of c and n. 8 Suppose 0 = -41*h + 160 - 37. Calculate the smallest common multiple of 3 and h. 3 Suppose 0 = -6*x + 2*x + 5*s + 18, -2*x - 2*s = 0. Let k(g) = 5*g. Let y(j) = j**3 + 8*j**2 - 34. What is the lowest common multiple of k(x) and y(-5)? 410 Let n = -3715 + 22223/6. Let c be ((-332)/(-5))/((-1)/(-25)). What is the common denominator of n and ((-1)/(-5))/(104/c)? 78 What is the common denominator of -65/3 and -3*(-278)/36 + (-1)/(-2)? 3 Suppose -4*o = 4*v - 16, -v = -3*v + 4*o + 32. Let q = 10 - v. Find the common denominator of -13/20 and ((-52)/(-176))/(q/28). 220 Let x(b) = -b**3 + 10*b**2 - b + 30. Calculate the smallest common multiple of 26 and x(10). 260 Let y = 58063/14 - 4153. What is the common denominator of y and 61/70? 70 Let d = -41 + 65. What is the smallest common multiple of 12 and d? 24 Suppose -404*o - 30 = -414*o. What is the smallest common multiple of o and 156? 156 Calculate the least common multiple of (-7)/(315/(-72)) - 2/(-5) and 34. 34 Let f = 1550/7 + -223. Let t(x) = -3*x - 3. Let a be t(4). Calculate the common denominator of f and (-6)/a - 59/35. 7 Let s(u) = -u**2 + 13*u - 18. Calculate the lowest common multiple of 5 and s(7). 120 Let x(y) = -39*y - 87. What is the lowest common multiple of 30 and x(-7)? 930 Suppose -5*m = -4*m + 6. What is the common denominator of 0/(-1) + 59/m and (-559)/39 - 6/4*1? 6 Let j = -6403/2076 + 1/1038. What is the common denominator of -47/80 and j? 240 Let z = 3672 - 3666. Let r = 3 - -2. Suppose -r*c + 0 = -40. Calculate the lowest common multiple of z and c. 24 Let y = 13 + -25. Let z = 71/42 - 4/21. Find the common denominator of z and (-213)/y*(-10)/45. 18 Let q be (-42)/(-12)*8/7. Suppose -26*z + 25*z = -q. What is the least common multiple of (-5)/((-17)/6 - -2) and z? 12 Let j = 156 + -89. What is the common denominator of j*(27/(-30) + 1) and -8? 10 Let t = -12/14102677 + -1252585593223/88423784790. Let b = t - 1/1045. Calculate the common denominator of b and -53/8. 24 Let l = -34 + 49. Let t be -3*4/(-4) + l. Calculate the common denominator of -107/6 and (18/24)/(t/268). 6 Suppose -3*k = -4*k + 3*p + 17062, 0 = 2*k - 3*p - 34133. Let i = -375461/22 + k. Calculate the common denominator of -9/16 and i. 176 Suppose -27*m - 281 + 6221 = 0. Calculate the lowest common multiple of 242 and m. 2420 Let l = -61436 + 8232371/134. Calculate the common denominator of l and 2/3. 402 Let a be (-17 - 37)/((-6)/8). Suppose 14*i = 10*i + a. Let j(d) = -2*d**3 - 5*d**2 - d + 2. Calculate the smallest common multiple of i and j(-3). 126 Let d(f) = -f**3 + 14*f**2 + 36*f - 4. Let t be d(16). Find the common denominator of (-1)/1*(2562/t)/(-7) and (-122)/4 + (3 - 4). 10 Suppose -5*j - 2*w - 14 = 0, -2*j - 4*w - 14 = w. What is the least common multiple of ((j + -4)/(-2))/(45/150) and 56? 280 Suppose -3*j = -4*i + 236, 3*i + 169 = -2*j + 8*i. Find the common denominator of 3/j*184/6 and -86/15. 90 Let f(y) = 2*y**3 - 5*y**2 + 6*y - 23. Calculate the least common multiple of f(5) and 96. 1056 Let q = -5458263871/30 + 181887697. Suppose -16*d = -9*d - 380989. Let i = q + d. Find the common denominator of i and -9/20. 60 Calculate the lowest common multiple of 114 and 0 - -5 - (-4 + 5). 228 Let i be 10/35 - 110/(-7). Calculate the lowest common multiple of 212/26 + i/(-104) and 12. 24 Let l = 23 - 460/21. What is the common denominator of l and -81/2? 42 Suppose -s + 3*b + 25 = 0, -4*s + s - 4*b = -62. Let y = -19 - -35. What is the lowest common multiple of y and 14/(-14) + 0 + s + 1? 176 Suppose r = 2*f + 14, 0 = 5*r - 0*f + 5*f - 100. Let y(v) = 4*v**3 - 4*v**3 - 2*v**3 - 5*v**2 - 2*v + 3. Calculate the least common multiple of y(-3) and r. 18 Calculate the common denominator of (-4)/(-25)*(-310)/320 and 97/20. 200 Let x(h) = -3 + 2*h + 10 - 1. What is the smallest common multiple of 3 and x(10)? 78 Suppose -34 = -5*q - 2*v, 0 = 11*q - 15*q + 4*v + 44. Suppose 6 = 2*x - x. What is the least common multiple of q and x? 24 Suppose d - 5 = -3, 4*d = 4*b - 16. What is the smallest common multiple of 60 and b? 60 Let h(x) be the first derivative of -4*x + 4/3*x**3 + 2*x**2 - 1/4*x**4 + 1. Calculate the least common multiple of h(4) and 16. 48 Let v be ((-98)/(-6))/((-5)/15). Let y = -391/8 - v. Find the common denominator of y and 46/3 - (0/4 - 0). 24 Suppose 0 = z + z - 10, 5*w = 5*z. Suppose -2*l - 3 = -5, -w*f = 2*l - 167. Calculate the common denominator of ((-3)/f)/((-5)/(-180)) and 9/8. 88 Let r be (-1 - -2) + 6 + 1. Suppose 0*k = 5*k + 5. Let n = r - k. What is the least common multiple of 10 and n? 90 Suppose -6*p - 154 = -17*p. What is the smallest common multiple of p and 38? 266 Let y = -17075/12207 - -293375047/52905138. Let z = y + -2/197. Calculate the common denominator of 95/22 and z. 22 Let d = 16 + -14. What is the common denominator of ((-8)/10)/4*3 and d + 166*(-1)/(-20)? 10 Let n = 93 + -104. What is the least common multiple of 6 and n - -70 - 1/1? 174 Let l = 613 - 605. Calculate the smallest common multiple of l and 4. 8 Let g be 2/5 - (-8242)/(-130). Let z = 45 - g. Calculate the smallest common multiple of z and 14. 756 Let j = 8 - 1. What is the smallest common multiple of -4 + 4 + 4 + -3 and j? 7 Let o = 2263 + -2122. Calculate the lowest common multiple of 4 and o. 564 Let h = 92 + -65. Suppose 0 = -3*i - 9, 3*z + 5*i = -2*z - 110. Let o = h + z. What is the lowest common multiple of o and 16? 16 Calculate the least common multiple of 12 and (36/24)/(6/16) - -74. 156 Let m(j) = j**3 + 7*j**2 + 4*j + 1. Calculate the lowest common multiple of 4 and m(-6). 52 Let h = -21 - -10. Suppose 4*r + 13 + 12 = -s, 32 = -4*s + r. Let z = s - h. What is the smallest common multiple of 7 and z? 14 Let z = -6505/2373 - 40/113. Find the common denominator of -23/21 and z. 21 Suppose -f = 3*f + o - 92, o = 0. Suppose -c - 15 = -f. Let p = 25 + -15. What is the smallest common multiple of p and c? 40 What is the common denominator of 4/15*(-376)/32 and ((-3)/2)/(117/884)? 15 Let z = -2597/22 - -118. Let u = -29118/11 - -2645. What is the common denominator of z and u? 22 Let i = 17211/1694 + -270/121. Find the common denominator of (-465)/(-70) + (-1)/1 and i. 14 Find the common
{ "pile_set_name": "DM Mathematics" }
. Solve 1 = o*b - 2*b for b. 1 Let y(d) = d**3 + 6*d**2 - 17. Let x be y(-5). Solve 6*p = x*p for p. 0 Let o be (-5)/20 + 18/8. Suppose -3*f - 14 = -5*l, -o*l + f + 2 + 4 = 0. Suppose -l*w = -3*w. Solve w - 4 = m for m. -4 Let l be (2 + -3 + 2)*2. Let i be (-1)/l - (-18)/4. Let w = -3 - -5. Solve -i*o = -2 - w for o. 1 Suppose 5*c - 18 = -c. Solve 0 = i - 2*i - c for i. -3 Let d(g) = -g**2 - 22*g - 17. Let i be d(-21). Solve 2*a = -2 + i for a. 1 Let i be 5 - (2 - (-2)/2). Suppose -i*c = -3*w - 14, 26 = -5*w + 2*c - 0*c. Let m = -6 - w. Solve m*k + k = 0 for k. 0 Suppose -5*q = 10, -2*b - q = q - 8. Solve 4*y - b + 2 = 0 for y. 1 Suppose 5*i = -5*z + 40, -2*i + 6 = -4*z + 20. Let f = 36 + -35. Solve -5 - f = -i*s for s. 2 Let g(r) = 2*r**2 + 1. Let q be g(1). Suppose -q*o = -7 - 5. Solve k + o = -1 for k. -5 Suppose -3*g = 5*n - 61, n - 3*n = -3*g + 26. Solve g = -h - 3*h for h. -3 Suppose 4*i = 41 - 1. Solve 4*o = i + 2 for o. 3 Let j = -3 + 9. Suppose 3*k - 3 = -0*k, -5*l + 4*k = -j. Solve -l + 0 = g for g. -2 Suppose 23 = 5*u + y, 4*y + 24 = 4*u + 2*y. Let b = 7 - u. Solve b*z + 0 = -6 for z. -3 Suppose -5*n = 5*g - 15, n = 5*g - 0*n - 9. Let x = g - -2. Solve 0 = -b - b - x for b. -2 Suppose -5 = -2*k + k, -21 = -3*t - 3*k. Solve -t*m - 1 = -m for m. -1 Let r be 0/(0 + 1 - 0). Let i be (-3)/4*(-56)/21. Suppose -i*f = f. Solve -p + 4 + r = f for p. 4 Suppose -2*v - 3*o = -2*o, 3*o = -12. Solve -v*w = 2*w - 16 for w. 4 Suppose 0 = -431*f + 433*f - 8. Suppose y + 17 = 5*y + d, -5*y = 3*d - 30. Let l be (-2*y)/(-2 + 1). Solve -f*z + l = -6*z for z. -3 Let r(k) = -k**2 - 8*k - 5. Let i be r(-5). Let v be i/(-5)*(-30)/4. Solve -v = 5*l - 0 for l. -3 Suppose -2*b = -7*b. Let s be (-2)/(-1) + 0/1. Let a = s + b. Solve 9 = -a*y - y for y. -3 Suppose -g - 8 = -7. Let o be (1 - g)*(-1 - -2). Let u(n) = -n + 9. Let i be u(6). Solve -x + o = -i*x for x. -1 Let n be (-1 - 0 - -2)*3. Let s be 6/2 - (-1 - 1). Suppose -s*r + 44 + 81 = 0. Solve -8*b + n*b = -r for b. 5 Let i(g) = -g - 17. Let o be i(-20). Solve -4 - 2 = -o*s for s. 2 Let q be -4 - (1 - 9)/(1/2). Solve -q = 3*x - 0*x for x. -4 Let l(z) = -z**2 + z. Let p be l(0). Let n(c) = c**3 + 16*c**2 - 2*c - 12. Let h be n(-16). Solve p*y + 5*y = h for y. 4 Suppose -i - 3*j + 2 = 0, -j + 1 = -4*i - 4*j. Let q = i + 3. Solve c = -q*c + 9 for c. 3 Let n(d) = -2*d - 4. Let q be (0 + 1)*2 - 6. Let z be n(q). Solve -z*v - 15 = 5 for v. -5 Suppose 4*c = -4*c + 16. Solve -c*s = -0*s - 8 for s. 4 Suppose 0*d + 5*d = -4*f - 9, 0 = 4*f - 3*d - 31. Suppose 0 = -f*h - h. Solve -2*z = -h + 4 for z. -2 Suppose -3*a + 4*a + 11 = -5*p, a - 10 = 2*p. Let n be (18/10)/(p/(-15)). Solve n = 5*t - 2*t for t. 3 Suppose 3*l + c + 2*c + 9 = 0, -3*l + 15 = -5*c. Suppose -k - 2*j - 7 + 3 = l, -5*j = -3*k - 1. Let p be 8 - (4/k + 5). Solve -t = -0*t + p for t. -5 Suppose 2 = 2*u - u. Let o(r) = -r**3 - 7*r**2 + r + 7. Let d be o(-7). Solve y + u*y = d for y. 0 Suppose 5*c + 24 = c. Suppose -14 = 2*d + 4*q + 10, -5*d - 3*q = 46. Let a = c - d. Solve -z = -a + 3 for z. -1 Let n = -2 - -6. Suppose n*w - 16 = -0*w. Solve 0*f - w = -f for f. 4 Let m = -51 - -51. Solve m = 2*r - 8 - 2 for r. 5 Let w = 7 + -5. Suppose 0 = -s + 3*g + 1, 5 = s + w*g - g. Solve -s*p = -0 + 8 for p. -2 Suppose -4*s = -3*z - 12, -s = -6*s + 5*z + 20. Suppose -t + 0*t = s. Suppose t = x - 3 - 0. Solve x*v - 10 = 5*v for v. -5 Suppose 0 = -3*d - 6, 5*d = -4*x + d + 12. Let u be (60/(-16))/((-2)/8). Solve -u + 0 = x*b for b. -3 Let n(l) be the second derivative of -1/20*l**5 + l**2 + 1/2*l**3 + 0 + 2*l - 1/6*l**4. Let h be n(-3). Solve 2*a = -h*a for a. 0 Let r be (-6)/5*50/(-3). Let m(b) = -b**3 - 11*b**2 + b + 14. Let p be m(-11). Suppose -3*s + 5*t = 3 + 1, -4 = s - p*t. Solve 2*x + r = -s*x for x. -5 Suppose -10 = -m + 3*t - 3, 0 = -3*m + 3*t + 21. Solve 0 = -m*u + 3*u + 8 for u. 2 Let k(r) = -r - 4. Suppose 0 = 3*b + 12 + 6. Let f be k(b). Suppose 0 = -0*i - f*i + 16. Solve -y - y - i = 0 for y. -4 Suppose 0 = -3*t + t + 8. Let r = 9 - 21. Let n = r + 12. Solve t = 2*d - n for d. 2 Let i(t) = t**2 - 2 + 6 - 2. Let p be i(-2). Let v = 8 - p. Solve -v*j = -3*j - 4 for j. -4 Let z = -12 - -28. Let f be ((-42)/35)/((-6)/40). Let l = f - 2. Solve 2*i + z = l for i. -5 Let b be ((-4)/(-5))/(4/70). Let h = -2 + 4. Suppose -3*l - 8 = h*s, -2*l = -s - 2*s + b. Solve -4 + 0 = s*y for y. -2 Let j be 3 + (2 + 2)/4. Solve 0 = -m + j*m for m. 0 Suppose -a + 2 = -3*i, 0 = 2*a + 2*i - 2 - 2. Solve a*m = 4*m - 4 for m. 2 Suppose 6*w - 5*s - 27 = 2*w, 2*w - 4*s = 18. Solve -w*i + 19 = 4 for i. 5 Suppose -2*m - 2 = -0. Let u be 0 + (m - 3) - -10. Solve -3 = j - u for j. 3 Suppose -2*j + 15 = 3*j. Solve -4*i = -j*i + 5 for i. -5 Suppose m + 9 = 12. Solve m = d + 2*d for d. 1 Suppose 4*o = -f + 2*o + 11, -5*f - 3*o = -34. Let w = f + -3. Solve 0 = w*d + 2*d for d. 0 Let u be ((-15)/2)/((-9)/12). Suppose 0 = -c + u + 8. Suppose c = 4*a + 5*j - 8, -3*j = -2*a + 2. Solve a - 2 = -y for y. -2 Let v(x) = x**2 - 7*x + 6. Let w be v(6). Suppose w = -m - o + 3 + 1, 0 = m + 4*o - 4. Solve -5 + 1 = m*s for s. -1 Let v(m) = -2*m + 2. Let o be v(-1). Suppose 5*r = -2*p + 27, o*r + 5*p - 5 = 20. Solve -r*t - 16 = -t for t. -4 Let q(a) be the third derivative of a**2 + 0*a + 1/12*a**4 - 1/30*a**5 - 1/2*a**3 + 0 - 1/120*a**6. Let g be q(-3). Solve 20 = 5*h - g*h for h. 4 Let s(q) = -q + 3. Let j be s(-1). Solve j*f = -f - 15 for f. -3 Let k(g) = g**2 - 3*g. Let h be k(4). Suppose q - h*p + 2 = 20, 0 = q + p - 3. Let j = 17 - 17. Solve j = -3*y - q for y. -2 Let f(b) = -b**3 + b**2 + 3*b - 1. Let l be f(3). Let t = l + 14. Solve t*c + 16 + 4 = 0 for c. -5 Let m = 12 + -8. Let y(q) = -q**3 - 4*q**2 + 6*q + 5. Let t be y(-5). Suppose a + m*a = t. Solve 8 = 2*k - a*k for k. 4 Suppose 3 + 5 = -4*r. Let i be (-37)/(-13) - r/13. Solve 5 = i*s + 11 for s. -2 Let l(t) = -3*t**2 - 1. Let s be l(3). Let f = -25 - s. Solve -v - f*v - 8 = 0 for v. -2 Let g(o) = o + 12. Let l be g(-7). Solve 0 = -4*v + 7 + l for v. 3 Suppose -8 = -5*o + 3*p, 7 = -3*o + 5*p - 1. Solve -o*g - 6 = 2 for g. -2 Let k = 41 + -39. Solve -2*f = k*f for f. 0 Suppose 4*w - 2*l + 3*l - 9 = 0, -2*w + 2*l = -2. Suppose -3*v = -3*r + 21, w*v + 14 = 4*r - 4. Solve -5*n + r*n = 12 for n. -4 Suppose 2*i - 3 - 5 = -2*z, -2*i - 4*z + 12 = 0. Solve i*p - 7*p = -5 for p. 1 Let h(l) = l**3 + 2*l**2 - 1. Let a(p) = -p**3 + 5*p**2 - 3*p - 5. Let u be a(4). Let b be h(u). Solve b = 2*r + 2*r + 8 for r. -2 Let u(l) = l**2 + l - 32. Let w be u(-7). Solve -2*y + 4*y = w for y. 5 Let r = -8 + 12. Suppose -t - 11 = -l, -3*l - r*t + 0 = -5. Let p be 344/44 + (-4)/(-22). Solve -l*m + 3*m = p for m. -2 Let u(p) = -p**3 - 4*p**2 + 6*p + 6. Let v be u(-4). Let j be (2/(-2))/(6/v). Suppose -12 = -j*n + n. Solve 0 = -l - 2*l - n for l. -2 Let h(w) = -5*w + 6. Let t(p) = -9*p + 11. Let c(n) = -11*h(n) + 6*t(n). Let y = 7 - 2. Let r be c(y). Solve 9 + 16 = r*l for l. 5 Let c be 17/34*(1 + -1). Let t be 2/7 + (-190)/(-70). Solve 2*f + 1 - t = c for f. 1 Let t(a) = a**3 - a**2 + a + 12. Let f = 2 - 3. Let p be -2 + (f - -2) + 1. Let n be t(p). Solve -s - 2*s - n = 0 for s. -4 Let p be 8/(-6)*(8 - 11). Solve 2*b + 2*b = p for b. 1 Let d be 2 + (0/3)/2. Let c = d - 5. Let w be 0/((-3)/c*-2). Solve 0 = -w*n + 2*n - 4 for n. 2 Suppose 2*c - 2 = -0. Solve -c + 4 = p for p. 3 Suppose 3*v + 2*b + b - 24 = 0, -3 = b. Suppose -z - s = z - v, -3*z = -4*s - 11. Solve 0 = -c + z*c - 4 for c. 1 Suppose -27 = -4*k + 1. Let r(z) = -z**3 + z**2 - z. Let u be (-2)/4 + (-1)/(-2). Let g be r(u). Solve g = -3*y + k + 2 for y. 3 Suppose 2*f + 3*f = x + 5, 23 = 4*f + 3*x. Let a be (1*(3 - 13))/(-2). Solve f*r - 15 = a*r for r. -5 Suppose -4*q = h - 9, -2*h - 15 = -4*q + 3. Suppose 0 = o + q*o. Let i = 1 - o. Solve 4 = f + i for f. 3 Let g be 6/4*(-16)/(-6). Solve 15 - 7 = -g*d for d. -2 Suppose 4*y + 2 = 3*y. Let i = 0 - y. Suppose -22 = -3*q + 4*u, 0*u - u - 8 = -2*q. Solve 0 = -q*h - 10 + i for h. -4 Let v be ((-4)/(-6))/((-1)/(-6)). Solve n + v*n = 0 for n. 0 Suppose k + 8 = b - 2*k, 2*k = -4. Let d(f) = -f + f - 3*f + 2*f. Let o be d(-7). Solve o*t = b*t + 20 for t. 4 Suppose 4*x = -r + 1, x - 2*r - 2*r = -4. Suppose 0 = -5*w - 5, -2*o = 4*w - 2 - x. Solve -o*k = -6*k for k.
{ "pile_set_name": "DM Mathematics" }
est common divisor of r and 1962? 18 Suppose -15*i + 13 = 433. Let t be (-1 - -13)*(-63)/i. Suppose -t = -15*n + 138. Calculate the highest common divisor of 99 and n. 11 Suppose 5*v - p - 16 = 0, -2*v - 5*p - 2 = -3. Suppose 17*k - v*k - 126 = 0. Calculate the highest common divisor of k and 27. 9 Let d(n) = n**2 - 15*n + 13. Let w be d(17). Let i = w - 31. Calculate the greatest common divisor of i and 56. 8 Suppose 4*u - 94 = -2*r + 9*u, -60 = -r - 4*u. Let j(v) = -1076*v - 10721. Let i be j(-10). What is the greatest common divisor of r and i? 13 Let u be (-76 + (7 - 25))/((-3)/696*2). What is the greatest common factor of u and 696? 232 Suppose 37325 = 115*d + 14900. Calculate the greatest common divisor of 2895 and d. 15 Let f be (-14 + -594)/8*4/(-8). Calculate the greatest common factor of f and 4313. 19 Suppose -837*h + 828*h + 198 = 0. Calculate the greatest common factor of h and 9482. 22 Let t = 405 - 379. Suppose z - 2*s = 188, 4*s - 5*s = -2*z + 361. Let f = 308 - z. What is the greatest common factor of f and t? 26 Let v(j) = 6*j**2 - 41*j - 198. Let k be v(-6). What is the highest common factor of 24 and k? 24 Let l(k) be the second derivative of k**3/6 + 25*k**2/2 + k. Let v = -2868 + 2856. Let n be l(v). Calculate the greatest common factor of n and 169. 13 Let c be ((-6)/21)/(35/(-10535)). What is the highest common factor of c and 30? 2 Suppose -2*k = -0*k - 6*k. Suppose 17*x - 16*x - 36 = k. Suppose -8*l - 24 + 72 = 0. Calculate the greatest common divisor of x and l. 6 Let i(q) = q + 13. Let s be i(-6). Let o be (-2 - 23)/(6 - s) + -1. Let k(l) = l**2 - 6*l + 8. Let a be k(6). Calculate the greatest common factor of a and o. 8 Let c(j) = -62*j + 7580. Let m be c(7). What is the highest common divisor of m and 72? 18 Suppose -3*k = 2*k - 940. Let a = k - 165. Calculate the highest common factor of 161 and a. 23 Let l = -4 + 11. Suppose -11*g = -l*g - 124. Let u(d) = -d**3 + 54*d**2 - 50*d - 128. Let x be u(53). Calculate the greatest common factor of x and g. 31 Let f = 1100 + -392. Suppose -11*t + f = -150. What is the greatest common divisor of t and 182? 26 Let y(r) = 56*r - 3*r**2 - 1224 + 1577 + 4*r**2. Let c be y(-7). What is the greatest common divisor of 15 and c? 5 Let m be ((-14)/(-21))/((-2)/48). Let a be 12/m - 30/(-8). Suppose -t - 138 = -3*g, a*g + 2*g = -4*t + 230. Calculate the greatest common factor of 115 and g. 23 Let l = -2072 + 2168. Calculate the greatest common factor of 696 and l. 24 Let h be (-2)/(-7) + -1772*3/(-14) + -11. Calculate the greatest common factor of 1968 and h. 123 Suppose 4*y + 49 = 5*y. Suppose 13*b - 1367 - 388 = 0. Suppose y*i = 44*i + b. Calculate the highest common divisor of i and 54. 27 Let n = 790 - 580. Let t = -7 + 21. What is the highest common factor of t and n? 14 Let f(j) = 887*j**2 - 36*j + 5. Let r be f(-2). Calculate the greatest common divisor of 29 and r. 29 Suppose 4*r = -d - d + 34708, -d + 3*r = -17399. Calculate the greatest common factor of d and 303. 101 Let f(l) = -53*l - 1675. Let o be f(-35). Calculate the greatest common divisor of 14580 and o. 180 Suppose -42 = 6*d - 4*d. Let w be ((-28)/d)/((-2)/(-42)). Let c = w + 112. Calculate the highest common factor of c and 20. 20 Let f be (-294)/1176 + (-5)/(-4). What is the greatest common divisor of 653 and f? 1 Let b = -6008 + 6148. Calculate the greatest common divisor of b and 308. 28 Let o(v) = 3*v**2 - 121*v + 419. Let f be o(37). Let i = -7 - -21. Calculate the highest common factor of f and i. 7 Let y(t) = 12*t + 0 - 8*t + 2 - 20*t. Let i be y(-2). Suppose -4*o - i = -286. Calculate the greatest common factor of o and 9. 9 Suppose -45 = -a - w, 2*w + 13 - 5 = 0. Let d = -43 + a. Let l be 27/(-4)*-2*d. What is the highest common factor of l and 9? 9 Let m be (0 - 2)*(-211)/2. Let y = 414 - m. Let a be -3 + 1 + 0 + (-31)/(-1). Calculate the greatest common factor of y and a. 29 Let q(s) = s**3 - 16*s**2 + 5*s - 88. Let n be q(21). Calculate the greatest common factor of 1010 and n. 202 Let k(b) = -b**3 + 4*b**2 - b. Let j be k(4). Let g be ((-2)/3)/(j/114). Let m = 34725 - 34687. What is the highest common divisor of m and g? 19 Let a(u) = -u**2 + 4*u + 89. Let t be a(-13). Let b be 2*(-9)/42 + t/(-14). Calculate the greatest common divisor of 33 and b. 3 Let p(v) = -45*v - 48. Let f be p(-3). Let k = -42 + f. What is the highest common factor of 60 and k? 15 Let a = -36 + 38. Suppose a*m - 84 = 3*j, 148 = 2*m + 2*m + 4*j. What is the greatest common factor of 13 and m? 13 Let t be 1 + 13 + 601 + 6. What is the greatest common divisor of t and 253? 23 Let y(l) = 9*l**2 + 211*l - 1948. Let r be y(9). Calculate the highest common factor of r and 640. 40 Suppose -6 = -3*u, -3*u + 178 = -3*x - 4*u. Let d = 95 + x. Let s(o) = -12*o - 5. Let z be s(-15). What is the greatest common factor of z and d? 35 Suppose 3*k = 4*q - 8875, -4*q + 283 = 5*k - 8520. Calculate the greatest common factor of 56 and q. 28 Suppose 0 = -3*z - i + 166, z - 2 = 2*i + 44. What is the highest common factor of 3834 and z? 54 Suppose -b - 1478 = -5*k + 444, 2*k - 4*b = 758. Calculate the highest common divisor of 990 and k. 55 Suppose -55*x + 41857 = -39763. What is the greatest common factor of x and 308? 28 Suppose -3*j = -3*v + 129, 10*v = 5*v + j + 235. Suppose -2*w + 3*t - 7*t + v = 0, -5*w - 3*t = -120. What is the greatest common factor of w and 10? 2 Suppose -15*u = 1072 + 3263. Let g = -263 - u. Let x = -30 + 43. What is the greatest common divisor of x and g? 13 Let u be 13 + (5 - (-132)/(-11)). Calculate the highest common divisor of u and 118. 2 Suppose -294*p + 4060205 = 101*p. Calculate the greatest common factor of 76 and p. 19 Let s be -1 + 15/12 + (-11600)/64. Let w = s - -199. Calculate the greatest common divisor of w and 12. 6 Suppose -7*a = -29*a - 0*a + 1232. Calculate the greatest common factor of a and 812. 28 Let g(w) = w**3 + 5*w**2 + 3*w. Let z be g(-2). Suppose z*y + 3744 = 30*y. What is the greatest common factor of 12 and y? 12 Suppose c + 7 - 10 = 0. Suppose -5*q - 4*p - 130 = 0, -3*p = c*q - 4*q - 45. Let w be ((-6)/q*5)/(2/64). What is the highest common factor of w and 256? 32 Let a = 40 - 36. Suppose -2*s = a*j + s + 154, -2*j = -2*s + 84. Let o = 36 - j. What is the greatest common divisor of o and 19? 19 Suppose 2*r - 75 = 5*j, 3*r - j - 118 = j. Suppose -5*o = 4*w - 257 + 53, w = 5*o + 76. Let b be w/6 - 100/75. Calculate the highest common divisor of b and r. 8 Suppose 4*o - 1488 = -3*p + 5*p, 0 = -5*p + 20. Suppose -7*i + o = -4*i - 4*h, -16 = -4*h. Calculate the highest common divisor of i and 30. 10 Let m = -175 - -177. Suppose 99 = m*a - 45. What is the highest common divisor of a and 54? 18 Suppose -4*g - 4 = -40. Let m(r) = -4*r**3 + 62*r**2 - 84*r + 21. Let s be m(14). Calculate the highest common factor of s and g. 3 Let f be ((-140)/(-315))/(-3 + (-1894)/(-630)). What is the highest common factor of 30 and f? 10 Let s = 34 - 10. Suppose 3*l + 373 = 5*c + 109, 2*l - 384 = -6*c. Calculate the greatest common factor of c and s. 12 Let f be 3 + -3*(-3 - -4)/(-3). Suppose -29 = 5*x + 4*b, -4*x - 16 = -f*b - 0*b. Let n be (-59)/x + 1/5. What is the highest common divisor of 96 and n? 12 Suppose 3244*q - 3239*q - 13620 = 0. Calculate the highest common factor of 48 and q. 12 Let q(w) = 12*w**2 - 10*w - 14. Suppose -4*f - 12 = 0, f + 5 = v + 7. Let x be q(v). What is the highest common divisor of 24 and x? 24 Let d(a) = 9*a**2 - 24*a - 118. Let i be d(-20). What is the highest common factor of i and 28? 14 Suppose -7*c = c - 2176. Let j = 297 - c. What is the highest common factor of 25 and j? 25 Let g(j) = j**2 - 30*j + 205. Let a be g(20). Suppose a*t - t = 164. Let n = -295 + 459. Calculate the highest common factor of t and n. 41 Suppose 305*v = 775286 + 2974168 - 456979. Calculate the greatest common divisor of 170 and v. 85 Suppose 7*m + 47 = 187. Let x(q) = -3*q**3 + 24*q**2 + 18*q - 104. Let r be x(6). Calculate the highest common divisor of r and m. 20 Let l = -14 + 17. Suppose -42 = -3*w + 6*x - 3*x, -l*x = -5*w + 62. Suppose 42*r = 38*r + 16. What is the greatest common factor of r and w? 2 Let n = -27 - 50. Let p be n/22*-3*2. What is the highest common factor of p and 672? 21 Le
{ "pile_set_name": "DM Mathematics" }
-0*z - 85. Let y(i) = z*d(i) - 6*m(i). Differentiate y(p) with respect to p. -12*p**2 Let d(f) = 4 - 2*f - 4*f + 0. Let c(a) be the first derivative of -a**2/2 + a - 3. Let l(n) = 5*c(n) - d(n). What is the first derivative of l(i) wrt i? 1 Let b(j) = -25*j**3 - 4*j + 16. Let z(x) = -49*x**3 - 9*x + 33. Let l(t) = -9*b(t) + 4*z(t). Differentiate l(n) with respect to n. 87*n**2 Let h(i) be the first derivative of -7*i**6/30 - i**3/2 - i - 3. Let b(l) be the first derivative of h(l). What is the second derivative of b(a) wrt a? -84*a**2 What is the first derivative of -23*d**3 + 14 - 1505*d + 1505*d wrt d? -69*d**2 Let i(h) = h**2 + 1. Let w(n) = 6*n**2 + 7. Let v = 5 - 1. Let x(o) = v*i(o) - w(o). Differentiate x(s) with respect to s. -4*s Let s(j) = 2*j**2 - j - 19. Let t(n) = n + 2. Let l(z) = -s(z) + 5*t(z). Differentiate l(p) wrt p. -4*p + 6 Suppose -6*z = -4*z - 4. Suppose -5*p - 5*h + 15 = 0, 6 = -0*p + 2*p + h. What is the second derivative of z*d**3 - 2*d**p - 3*d**5 - 3*d wrt d? -60*d**3 Let x(t) be the first derivative of 18*t**2 - 33*t + 23. What is the first derivative of x(h) wrt h? 36 Let f(k) be the second derivative of k**6/15 - 5*k**3/3 - 11*k. Find the second derivative of f(v) wrt v. 24*v**2 Let t(j) be the first derivative of 11*j**6/3 - 7*j**3/3 - 13. What is the third derivative of t(k) wrt k? 1320*k**2 Let y(x) be the first derivative of 5*x**5 + 25*x**2/2 + 17. What is the second derivative of y(o) wrt o? 300*o**2 Let c(n) = -9*n**2 + 2*n - 8. Let a(u) = -18*u**2 + 5*u - 17. Let s(z) = 2*a(z) - 5*c(z). Find the first derivative of s(g) wrt g. 18*g Find the third derivative of t**2 + 5*t**2 + t**2 + 7*t**5 - 3*t**2 wrt t. 420*t**2 Let u be 16 + (-2)/2 + 0. Let l = u - 9. What is the second derivative of 2*a**3 - l*a**3 + 4*a**3 - 4*a + 3*a**3 wrt a? 18*a Let t be -2*1/2*5. Let g be t/2*(-4)/5. Find the second derivative of -l**5 + 5*l**4 - 5*l**4 - g*l wrt l. -20*l**3 Let h(c) = c. Let o(k) = 5*k - 1. Let r(q) = -9*h(q) + 2*o(q). What is the first derivative of r(z) wrt z? 1 Differentiate -g**4 - 2*g**2 + 2 + 2*g**2 + 11*g**4 wrt g. 40*g**3 Suppose q - 7 = 5*x + 2, 3*x + 19 = 4*q. What is the third derivative of 4*h**4 - 4*h**2 - 6*h**2 + q*h**4 + h**4 wrt h? 216*h Differentiate -2 + 1 - 4 + z**4 - 2 wrt z. 4*z**3 What is the third derivative of 13*m**2 + 45*m**3 - 12445 + 12445 wrt m? 270 Let d(q) = -2*q + 3. Let x be 3*-1 + (7 - -2). Let m(u) = 3*u - 3. Let z(y) = x*m(y) + 7*d(y). What is the first derivative of z(s) wrt s? 4 Suppose 6 = o + j, 4*j = 5*o - 1 - 2. Let h = 2 + o. Find the second derivative of -4*p**5 + 3*p**h + 0*p**5 + p wrt p. -20*p**3 Let a(j) = -26*j**6 - 3*j**5 + j**2 - 27*j - 3. Let k(q) = -25*q**6 - 2*q**5 - 28*q - 2. Let v(p) = 2*a(p) - 3*k(p). What is the third derivative of v(i) wrt i? 2760*i**3 Find the third derivative of 8*f**4 + 12*f**2 + 10*f**2 - 19*f**2 wrt f. 192*f Let u = 109/6 + -18. Let f(d) be the second derivative of -u*d**3 - 2*d + 0*d**2 + 0*d**5 + 0 + 1/10*d**6 + 0*d**4. Find the second derivative of f(n) wrt n. 36*n**2 Let w be 1*-2 - 72/(-30). Let m(h) be the first derivative of 2/3*h**3 + 0*h**4 - 1 - w*h**5 + 0*h**2 + 0*h. What is the third derivative of m(r) wrt r? -48*r Suppose 5*i = -0*i + 15. Find the second derivative of 3*o**3 - 6*o**3 + 3*o**i - o**3 + 3*o wrt o. -6*o Suppose -2*m = -3*m + 5. What is the second derivative of 5*q - q**5 - 3*q**5 + q**m - q wrt q? -60*q**3 Suppose o - 15 = -4*o. Differentiate 1 - 2*c**o + 3*c**3 - 2 wrt c. 3*c**2 Suppose -p = -4*n - 4*p + 1, -31 = -4*n + 3*p. Find the first derivative of -j**2 - 2*j**n - 3 + 6*j**2 - 5*j**2 wrt j. -8*j**3 Find the second derivative of -3*b**4 + 4*b**4 + b - 5*b - 5*b wrt b. 12*b**2 What is the second derivative of 2*r**3 - 9*r**3 + 0*r + 14*r + 4*r wrt r? -42*r Let o(k) = 17*k**2 + 2*k + 14. Let c(n) = -n + 1. Let v(q) = 2*c(q) + o(q). What is the derivative of v(r) wrt r? 34*r What is the third derivative of 3*b**5 + 2*b**2 - 34*b**2 - b**5 wrt b? 120*b**2 Let o(l) = 6*l**2 - 20*l. Let h(g) = -3*g**2 + 10*g. Let w(q) = 11*h(q) + 6*o(q). What is the second derivative of w(s) wrt s? 6 Let y(r) = -3*r - 2*r + 4*r - 6 - 5*r - r**2. Let s be y(-4). Find the third derivative of -4*k**3 + k**2 + s*k**2 - 2*k**2 wrt k. -24 Let j(k) = -k**2. Let l(v) = -2*v**2 + 2*v + 2. Let p(o) = 3*j(o) - l(o). Let u(n) be the first derivative of p(n). Differentiate u(h) with respect to h. -2 Suppose 0 = -0*o - 3*o + 6. Differentiate 2 + 3*s**2 - s**2 + s**o wrt s. 6*s Let r(b) be the third derivative of 5*b**9/126 - b**7/105 + b**5/30 - 17*b**3/6 - 27*b**2. Find the third derivative of r(l) wrt l. 2400*l**3 - 48*l Let u be 2*((-6)/(-3) - 1). Find the second derivative of 1 - s - 1 - 56*s**2 + 61*s**u wrt s. 10 Let x(h) be the second derivative of 0 + 2*h - 1/4*h**5 + 0*h**4 - 2*h**2 + 0*h**3. Differentiate x(n) wrt n. -15*n**2 Let b(v) be the second derivative of 13*v**6/10 + 11*v**2 - 2*v - 1. What is the first derivative of b(p) wrt p? 156*p**3 Let n(r) be the first derivative of -2*r**5/5 + 3*r**3 - 63*r**2/2 - 35. What is the second derivative of n(m) wrt m? -24*m**2 + 18 Let x(n) = -n**2 - n + 1. Suppose -5*h = -0*h. Let v be x(h). Let d(k) = -k. Let a(p) = 3*p**2 + 4*p + 4. Let q(y) = v*a(y) + 4*d(y). Differentiate q(b) wrt b. 6*b Let b = -10 - -11. Let r(t) = 4*t + 5*t**2 + t**2 + t. Let o(f) = -f**2 - f. Let z(u) = b*r(u) + 3*o(u). What is the second derivative of z(m) wrt m? 6 Let h be (1 - -8)*(-1)/(-3). Find the second derivative of 2*v**h - v**3 + 3*v + 0*v wrt v. 6*v Let o(p) = 0 + 0*p**2 + 2 + p**2 - p. Let u be o(0). What is the third derivative of 2*r**2 - u*r**6 + 0*r**6 + r**6 wrt r? -120*r**3 Let b(t) = 12*t**4 - 5*t**3 + 2*t**2. Let s(j) = -13*j**4 + 6*j**3 - 3*j**2. Let x(w) = -6*b(w) - 5*s(w). What is the third derivative of x(y) wrt y? -168*y Suppose -8*b + 4*b + 12 = 0. What is the second derivative of -b*j + 0*j + 6*j + 0*j**3 - j**3 wrt j? -6*j Find the second derivative of -5*c**4 + 147*c**2 + 12*c - 147*c**2 wrt c. -60*c**2 What is the third derivative of -69*l**2 + 21*l**3 - 84*l**2 + 103*l**2 wrt l? 126 Suppose -8 = 2*o - 6*o. Let u(p) = p - 1. Let i(f) = 7*f - 6. Let z(b) = o*u(b) - i(b). What is the derivative of z(r) wrt r? -5 Differentiate 39 - 71 - 34*v**4 - 2*v**4 wrt v. -144*v**3 Let o = -8 + 11. Find the third derivative of 7*l**3 - o*l**2 + 4*l**3 - 11*l**3 - 2*l**4 wrt l. -48*l Let n(u) be the second derivative of 0*u**2 + 2*u - 1/4*u**4 + 0*u**3 + 1/30*u**6 + 0 + 0*u**5. What is the third derivative of n(r) wrt r? 24*r Let w(l) = l**2 + 9*l - 4. Let y be w(-10). What is the third derivative of 0*u**6 - 7*u**6 - 3*u**2 + 5*u**y - 2*u**6 wrt u? -480*u**3 Let n(z) be the third derivative of z**7/168 + 7*z**4/24 + z**3 - 7*z**2. Let w(u) be the first derivative of n(u). Differentiate w(j) with respect to j. 15*j**2 Let h(i) be the third derivative of 0*i**3 + 1/20*i**5 - 6*i**2 + 0 - 1/3*i**4 + 0*i. Find the second derivative of h(o) wrt o. 6 Suppose b - 5*b + 8 = 0. Suppose -4 = -5*y + 2*l, -b*y + l + 5 = 3. Find the third derivative of y*s**2 - 3*s**4 + 2*s**2 + 2*s**2 wrt s. -72*s Find the second derivative of -26*o**2 + 35*o - 7*o + 20*o wrt o. -52 Let w(m) be the second derivative of 0 + 0*m**5 - 3*m - 7/30*m**6 + 1/6*m**4 + 0*m**2 + 0*m**3. What is the third derivative of w(t) wrt t? -168*t Find the second derivative of u**5 - 17*u**4 + 17*u**4 + 7*u wrt u. 20*u**3 Differentiate 23*w**2 - 4*w**3 + 65 - 2*w**3 + 8*w**3 with respect to w. 6*w**2 + 46*w Let x(b) = 43*b**3 - 7*b**2 - 38*b. Let d(s) = -22*s**3 + 4*s**2 + 19*s. Let a(v) = 7*d(v) + 4*x(v). What is the second derivative of a(u) wrt u? 108*u Let u be (-24)/4*1/(-3). What is the second derivative of n**u - 5*n**2 + 4*n - 2*n wrt n? -8 Suppose 3*a - 5*f - 10 = 0, -a - 2 = -f - 6. Suppose 13 = a*p - 2. Find the second derivative of q + p*q - 3*q + 2*q**2 wrt q. 4 Let n(x) be the second derivative of -x**5/30 + x**4/8 + 3*x**2 - x. Let s(y) be the first derivative of n(y). Find the second derivative of s(m) wrt m. -4 Let d(x) be the first derivative of 6*x - 1. Let m(p) = -p**2 - 17. Let o(b) = 8*d(b) + 3*m(b). Differentiate o(c) wrt c. -6*c Let w(k) = 2*k**5 + 7*k**3 - 27*k + 7. Let l(z) = z**5 + 4*z**3 - 14*z + 4. Let h(r
{ "pile_set_name": "DM Mathematics" }
10. Let t be d(0). Let i = 1 - t. Is 7*-3*6/i composite? True Let u be 5/(-1)*(-2)/5. Let h(f) = 8*f**2 - 6*f - 6. Let x(p) = 3*p**2 - 2*p - 2. Let r(a) = -2*h(a) + 7*x(a). Is r(u) a prime number? False Is -2 - 18/(-8) - 16435/(-4) prime? False Let j(d) = 2*d - 9. Let o be j(6). Suppose 2*x = o*x - 34. Is x a prime number? False Let x(z) = 71*z**3 + 2*z**2 + z - 2. Let p be x(1). Suppose y - p = 25. Is y a composite number? False Suppose -64 = -2*v + 1474. Suppose 0 = 5*z + 114 - v. Is z a composite number? False Let y = 14 - 21. Let g = -5 - y. Is 1 + 1 + (6 - g) a composite number? True Suppose 0 = 5*q + q - 318. Is q a composite number? False Let f(g) = -g**3 + 7*g**2 - 7*g - 1. Let y be f(6). Let w(r) = -r**3 + 8*r - 5. Let a be w(y). Suppose -99 = -3*b + a. Is b prime? True Let d(l) = -257*l. Let r be d(-1). Let y = r + -147. Suppose 2*i + y = 4*i. Is i a prime number? False Suppose 8 - 24 = -4*u. Suppose -41 = -u*k + 11. Is k a prime number? True Let y = 65 + 40. Suppose -3*d = -4*z - y, -4*d + z = -44 - 83. Is d a composite number? False Let t(b) = -b**3 + b**2 + 806. Let s be t(0). Is (-3)/(-9) - s/(-3) a composite number? False Let v = -1408 + 2091. Is v a composite number? False Suppose 4*w - 2*w = 4. Suppose 1 = -z, 0 = 4*o + 3*z - w*z - 247. Is o a prime number? False Let x be (-3)/(-2)*(3 - 5). Let h be 2748/16 - x/(-4). Suppose m - 85 = 4*p, 5*m = -4*p + h + 158. Is m composite? True Let b(y) = 8. Let j(a) = a + 8. Let u(w) = 2*b(w) - 3*j(w). Is u(-11) a prime number? False Suppose f + 124 = -95. Let n = f - -422. Is n a prime number? False Let z = 617 + -360. Is z prime? True Let m(p) = -3*p - 4. Let t(s) = -4*s - 5. Let q(r) = -5*m(r) + 4*t(r). Let u be q(2). Is 2 + 0/u + 77 prime? True Is 0/(-5 + 13) + 1*2894 prime? False Let j be (-163)/(-7) - (-18)/(-63). Suppose -23 = -q - 5*d, 0*q + 4*d - j = -q. Is q composite? False Suppose 2*v - 1874 + 458 = 0. Is v/21 + (-2)/(-7) composite? True Suppose -4*r = -4 + 28. Let p be -3*20*2/r. Suppose k + 3*k - 96 = 5*h, 5*h + p = 0. Is k a composite number? False Let g = 18 - 13. Suppose -g*w = -c - 18, 3*w = -4*c + 19 + 1. Is 21*(-2)/c*-1 composite? True Is -7318*((-14)/12 + 14/21) composite? False Let c(f) be the second derivative of f**4/12 - f**3 - 3*f**2/2 + f. Let n = 1 - 5. Is c(n) prime? True Suppose 1921 = 4*o - 3835. Is o a prime number? True Let w(h) = 7*h**2 - 7*h + 9. Let c(m) = -6*m**2 + 7*m - 8. Let j(f) = -5*c(f) - 4*w(f). Is j(6) a prime number? False Let l = 291 - -1024. Is l a composite number? True Suppose 5*i = -20 + 75. Suppose 0 = -3*f + k - 6*k + i, -5*f + 7 = -3*k. Suppose 35 + 51 = 3*g + 5*l, -f*g - l = -69. Is g a composite number? False Let f = 50 + 128. Is ((-1)/2)/((-1)/f) a composite number? False Let k(w) = -33*w. Let m be k(-2). Let o = m + -44. Suppose 3*d - o - 116 = 0. Is d composite? True Let v be (-2)/(-7)*(0 + 7). Let x be (-51)/v*4/(-6). Suppose x + 16 = 3*w. Is w prime? True Let h be 1897/9 + 4/18. Suppose h = 3*s - d + 6*d, -5*s + 333 = -d. Is s composite? False Let n(h) = h**3 - 4*h**2 - h + 11. Is n(5) a prime number? True Suppose -3*m + 479 = h, 0*m + 4*m = -3*h + 632. Is m prime? False Suppose j - 40 = -5*o - 0*j, -2*o - 4*j = -16. Let b(i) = -i + 7. Let m be b(5). Is (o - 1)*2/m composite? False Suppose -3 = -c + 1. Suppose -3*b - b + c*t = -644, 0 = -2*b - 2*t + 310. Let q = b - 31. Is q a composite number? False Let k = -5543 + 15466. Is k composite? False Let k(j) = -j - 1. Let h be k(-7). Suppose -2*x + 386 = 4*d, -x + 205 = h*d - d. Is x composite? True Let t(p) = 3*p**2 + 7*p + 2. Let v be t(-5). Let c(y) = y**2 + 2*y + 1. Let j be c(-1). Suppose j = q - v - 81. Is q prime? False Let j(n) = -5*n + 2*n**2 + 4*n**2 + 3 - 3*n**2. Is j(3) a composite number? True Let a(u) be the third derivative of 3*u**2 + 0 - 1/3*u**4 + 3/2*u**3 + 0*u + 1/30*u**5. Is a(6) a composite number? True Suppose 11 - 1096 = -5*i. Is i composite? True Let b(o) = -o**3 + 8*o**2 + 12*o - 11. Let q be b(9). Let u = 42 - q. Is u a prime number? False Suppose -k + 4*k - 21 = 0. Suppose -388 = -k*r + 3*r. Is r a prime number? True Is (-2 - -1) + 268 + -2 prime? False Let z(f) be the first derivative of f**3/3 - f**2/2 - 5*f - 2. Is z(5) a prime number? False Suppose 6 = -4*a + 34. Let j = a - -24. Is j a prime number? True Let l be (-1 - (-2 - 0))*3. Suppose 344 - 95 = l*b. Is (b/(-3))/(1/(-3)) a prime number? True Let j(u) = -u + u + u + 2. Let s be j(-6). Let g(a) = -2*a**3 - 5*a**2 - 2*a - 3. Is g(s) a composite number? False Suppose -6 = 2*s + 2, 2*a = 3*s + 3026. Is a prime? False Let y(h) = h**2 - 4*h. Let j be y(3). Let z(k) = -3*k - 2. Let b be z(j). Let c = 40 - b. Is c prime? False Let t be (363/2 + 2)*2. Is (-6)/8 - t/(-4) a composite number? True Let y(r) = 2 - 1 - 2*r + 12*r**2 + 9*r**2 + 2. Is y(2) composite? False Suppose -p = -2*p + 1451. Suppose -6*a = -3*a + u - p, -5*a = -u - 2421. Suppose 2*r + 2*r - a = 0. Is r prime? False Let u(x) = x**3 + 5*x**2 + 4*x + 2. Let a be u(-4). Suppose 0*l - a*l = -2. Is ((-23)/(-1))/(l/1) prime? True Suppose 0 = 3*h + 617 - 104. Is (52/6)/((-6)/h) a composite number? True Suppose 0 = 2*k + 2*k - 12. Suppose 5*n = k*a + n - 8, -2*a = 5*n - 36. Is 3*5 + (a - 8) a composite number? True Let l(q) = 712*q - 1. Let b be l(1). Suppose 3*m - v - v - 1390 = 0, v - 1402 = -3*m. Suppose -5*i - j + m = -b, -462 = -2*i + 4*j. Is i a composite number? True Let q = 721 - 42. Is q prime? False Let h(b) = 26*b - 1. Let x(a) = a**2 + 5*a - 4. Let z be x(-7). Is h(z) a composite number? True Let h = -76 - -337. Let w(o) = o + 5. Let u be w(-5). Suppose -3*j = -u*j - h. Is j prime? False Suppose 4*p + 4*v - 195 = 241, 4*v = -3*p + 322. Let t be (-5 - -7)/((-4)/(-398)). Let a = t - p. Is a prime? False Let m(t) = t**3 - t**2 - 3 + 3*t**2 - 14*t**2 - 14 + 3*t. Is m(13) composite? False Let t(i) = 13*i**2 - 7*i + 7. Is t(-15) prime? True Suppose v - 4912 = 5*v. Let o = v + 2115. Is o prime? True Let i(c) = -11*c**2 + 7 + 21*c**2 + 14*c**2. Is i(-3) a composite number? False Is 11040/50 - 2/(-10) prime? False Suppose 0 = -5*d - 7 + 2. Is (d/(-3))/((-7)/(-1743)) a prime number? True Suppose -2*f = -3*y - 2, -3*y + 8 = 3*f - 10. Suppose 2*d = -q + 2*q + 72, 5*q - 60 = -y*d. Is d composite? True Let j = -21 + 54. Let l = 99 + j. Suppose 9*q = 5*q + l. Is q prime? False Let g(c) = -c**2 - 6*c + 9. Let j be g(-7). Let q(h) = 32*h**2 - 2*h - 1. Is q(j) a prime number? False Let p(l) = -l + 4. Let g(u) = u - 9. Let h be g(0). Let w be (h/(-6) - -1)*-4. Is p(w) prime? False Is (-3)/36*3*-724 a prime number? True Let p be 201/2 - 4/(-8). Let h = -51 + p. Let x = -29 + h. Is x composite? True Let k(q) = 13*q**3 - q**2 + 1. Let p = -7 + 8. Is k(p) prime? True Let x = -36 - -50. Is x composite? True Let r = 2559 - 1408. Is r composite? False Suppose -x + 1267 = 2*i, 3*i + 6374 = 2*x + 3*x. Is x a prime number? False Let t be (-512 - 0)/(4/(-10)). Suppose 3*y = 4*a + 7*y - t, -3*a + 5*y = -928. Suppose i + 161 = o, o = 3*o + i - a. Is o prime? False Suppose -4*z - 3*f = -8*f - 41, 3*z + 3*f + 3 = 0. Suppose 12 + 64 = z*t. Is t composite? False Let m(f) = f**2 + 6*f. Let c be m(-7). Suppose -c*n + 70 = -2*n. Is n prime? False Let v(s) = 1140*s**3 - s. Is v(1) a prime number? False Let m = 7 + -7. Let f(j) = -3*j + m*j + 5*j - 3*j - 6. Is f(-8) composite? False Is 3/4 + 1522/8 composite? False Is (5/(-2) - -2)*-422 a prime number? True Suppose 1 + 1 = x, 3*a = 5*x - 13. Let b(z) = -z**3 + z**2 + z + 1. Let c be b(a). Suppose c*j = j + 55. Is j prime? False Let l be ((-3)/(-1))/3 + 36. Let i = -1 + 4. Suppose 2*b + 34 = 3*a + i*b, -4*a - 3*b = -l. Is a prime? True Let f(u) = -u - 8. Let k be f(-6). Is (-4)/k*(-298)/(-4) prime? True Let m = -14 + 20. Let r be (-472)/m*(-27)/18. Let f = r + -69. Is f a composite number? True Let f(h) = h**2 + 12*h + 19. Let m be f(-11). Let x = 18 + -27. Is (-12)/x*156/m composite? True Let a(j) = -4*j**2 + 1 + 2*j**2 + 2*j**3 - 3*j - 3*j**3. Is a(-6) a prime number? True Let f be (-323)/(-5) + 6/15. Let v be f + -1 + 0/(-2). Suppose 0 = -3*p + v + 65. Is p composite? False Let d(l) = -55*l + 11. Let m be d(-8). Let b(j) = -51*j**2 + 3*j. Let v be b(2). Let u = v + m. Is u a prime number? False Suppose 0 = 140*a - 142*a +
{ "pile_set_name": "DM Mathematics" }
-5*f + 15, f + 4*m + 9 = 8*m. Suppose -f*s + 2 = -12. Put c, -0.3, s in decreasing order. s, -0.3, c Let x = -0.2214 - -0.0214. Sort 3, x, -17/8 in decreasing order. 3, x, -17/8 Let f(a) = a**3 + 12*a**2 - 15*a + 1. Let u be f(-13). Let d = -28 + u. Sort -17, 5, d. -17, d, 5 Let g(n) = n**2 + 7*n + 7. Let c be g(-5). Let d be 9756/(-1404) - (-4)/(-78). Sort c, d, -5 in decreasing order. c, -5, d Let y be (84/22 - 5) + (-4)/(-22). Sort 4, y, -7, 3 in increasing order. -7, y, 3, 4 Let x = 467 - 468. Put -0.2, 1, x, 0.5 in increasing order. x, -0.2, 0.5, 1 Let p = -1080 - -1083. Sort 1/2, p, 1, 0 in decreasing order. p, 1, 1/2, 0 Let o = 328 + -318. Sort o, 5, -5. -5, 5, o Let p = 1137 + -1056. Sort 1, p, 0 in decreasing order. p, 1, 0 Let n = 0.09 + -0.02. Sort 3/2, 5, n in ascending order. n, 3/2, 5 Suppose 3*v + 3*y + 9 = 6*v, 2*y = -10. Let z(n) = n**3 - 3*n**2 - n + 3. Let r be z(3). Suppose r = 2*x + 4 - 6. Sort x, 0, v in increasing order. v, 0, x Suppose -1 = -b + 1. Suppose 0 = -b*g + 8 + 2. Let m = 2681 + -2685. Put g, m, -1 in increasing order. m, -1, g Let y(c) = c**3 - 7*c**2 + 11. Let x be y(3). Sort 3, x, 21. x, 3, 21 Let f be 46/4 + (-2)/(-4). Let m = -39 + 48. Let g be (2/7)/(m/63). Sort f, g, 5 in decreasing order. f, 5, g Let j = 0.61 + -0.51. Put -1, -3.1, j in decreasing order. j, -1, -3.1 Let l be -2 - ((-400)/(-24))/(-10). Sort l, 5, 4.87 in descending order. 5, 4.87, l Let o = 9.93 + -10. Let r = o - 1.93. Let j = 1.9 + r. Put j, -0.4, -2/19 in increasing order. -0.4, -2/19, j Let a = 74 - 79. Suppose 5*l = -2*o - 19, 0*o + 4*l = -2*o - 16. Put o, 5, -19, a in ascending order. -19, a, o, 5 Let t = 0.19033 - 0.19033. Let g = 0.1 + -0.2. Put -0.07, g, t in ascending order. g, -0.07, t Suppose 17*r - 22*r - 3*d = 102, 0 = -4*r - 2*d - 80. Put -2, 2, r, 5 in decreasing order. 5, 2, -2, r Let r = -1.6 + 1.2. Let y be (-27)/(-18) - (-139)/(-90). Sort 4, y, r, -0.1 in decreasing order. 4, y, -0.1, r Suppose 6 = 94*f - 92*f. Sort -2, f, -4 in decreasing order. f, -2, -4 Let r = 4 - 2. Let n = -6552 - -6547. Sort n, 4, -13, r in decreasing order. 4, r, n, -13 Let k = -1/27 - -65/297. Let b = 24 - 24.6. Let g = -0.6 - b. Sort -0.4, k, g in increasing order. -0.4, g, k Let x(y) = -y**2 - 8*y. Let j be x(-8). Let v be 120/(-18)*(-12)/10. Let a be 0 - (3 + (3 - v)). Put j, a, -2 in descending order. a, j, -2 Let s(i) = i + 3. Let r be s(-1). Suppose -4*z = -2*q + 1 + 3, -q - 4*z + r = 0. Let p be ((2 - q) + 3)/(-1). Sort -4, p, -2 in descending order. -2, p, -4 Suppose -17 = 2*x - 3*i, 2*x + 2*i = 12 - 4. Put x, -6, 0, -2 in increasing order. -6, -2, x, 0 Let k = -695 + 700. Let j = 0.23 + 0.07. Sort 1/4, j, k in decreasing order. k, j, 1/4 Let p(k) = -k**2 + k + 20. Let b be p(5). Sort 9, -4, b in increasing order. -4, b, 9 Suppose -4*m + 5*k - 26 = 0, k + 18 = -0*m - 5*m. Sort 61, -2, 5, m in decreasing order. 61, 5, -2, m Let i = -40.1 - -40. Sort i, -4/5, -46 in descending order. i, -4/5, -46 Let n = -19912.5 - -19912. Suppose 0 = 5*b - 3*i + 5*i + 12, -4*i = 3*b + 10. Let j be (b/(-72))/(1/(-2)). Sort -4, n, j in descending order. j, n, -4 Let j = 236 - 230. Let f = 7 + -3. Put -2, -2/7, f, j in descending order. j, f, -2/7, -2 Let r be 6/2 + (0 - 1). Suppose 4*t - 17 = r*b - b, 25 = -5*b. Suppose -p = 19*p + 40. Put t, 4, p in ascending order. p, t, 4 Let d be (300/16)/(1/(-4 + 0)). Let k = 70 + d. Sort -7, k, 4. -7, k, 4 Let p(k) = k**2 + 31*k + 107. Let c be p(-27). Sort c, -4, 3 in ascending order. -4, c, 3 Let a(f) = f**3 - 8*f**2 - 3*f - 19. Let c be a(9). Suppose -c*v - 2 = -34*v. Put -5, -1, v, 5 in increasing order. -5, v, -1, 5 Let h = -243 - -977/4. Put h, 4, -2/5, 5 in ascending order. -2/5, h, 4, 5 Let z = -1 - -15. Let i = z - 8. Let j be (20/(-4) + 4)*(3 - 2). Put j, -2, i in increasing order. -2, j, i Suppose 6 + 6 = 2*w. Suppose -x + 2 = -2*m, -2*x = x - 4*m - 4. Suppose -5*h + 23 = 38. Sort h, x, w. h, x, w Suppose -2*v + 5*s = 9 - 10, 10 = 4*v - 2*s. Suppose -5*l - 1 = 2*x, 0 = -v*x + 4*x + 2*l. Put x, -2, 1/17, -5 in increasing order. -5, -2, 1/17, x Let p be ((-48)/(-46))/3*52/208. Sort -8, p, 1 in descending order. 1, p, -8 Suppose -16 = 3*f - 55. Suppose 45 = 5*b + 3*i + 10, 0 = -i + 5. Put b, f, -2 in decreasing order. f, b, -2 Suppose 0 = -3*l + 5*p - 3*p + 1, 5*l + 4*p + 13 = 0. Let u = 4 - 2. Let o(g) = g**3 - 2*g. Let v be o(u). Put v, 0, l in decreasing order. v, 0, l Let w = -14 + 18. Let b(s) = 2*s - 11. Let p be b(w). Sort p, 0, 3 in decreasing order. 3, 0, p Let m = -13 - -18. Suppose 0 = 3*y + 2*y + 15. Sort y, m, 2, -5 in ascending order. -5, y, 2, m Let f = 3.4 - 3. Suppose -28*v - 70*v = -17*v - 243. Put v, f, 5, -1/4 in ascending order. -1/4, f, v, 5 Suppose -2*q - 5*v + 93 = 0, 120 = 3*q + v - 0*v. Let i be 3 - (2 + 45/q). Let f = -0.01 + 1.01. Put f, i, 1/5 in decreasing order. f, 1/5, i Let w be 1/(10 - 12/2). Put w, -16/17, -0.4 in decreasing order. w, -0.4, -16/17 Suppose 4*w + b - 11 = 14, -3*b + 15 = 0. Let d be ((-1)/(-3))/((-4)/(-3)). Let g = -0.7678 + 0.4678. Put d, w, g in decreasing order. w, d, g Let n = 435 - 435.8. Sort -7, n, 3. -7, n, 3 Let l = 6.04 + -0.04. Let p = 21 - l. Let m = -15.2 + p. Sort 4, -0.3, m. -0.3, m, 4 Let l(z) = 3*z**2 - 2*z - 2. Let m be l(2). Let j = -7091 + 7091.1. Sort 2/7, j, m, -4 in decreasing order. m, 2/7, j, -4 Let a(t) = -t**2 - 17*t + 8 - 1 + 5. Let v be a(-9). Let l = -254/3 + v. Put 1/4, -2, l in decreasing order. 1/4, l, -2 Let u(a) = -a + 11. Let s be u(6). Let z(m) = -2*m - 5. Let o be z(-4). Let v = o - 6. Put s, v, -4 in descending order. s, v, -4 Let v = 3 - 2.8. Let p = 14.39 + -14.39. Put p, v, -8/7 in descending order. v, p, -8/7 Let p be 2/((-18)/921) + (-92)/138. Put 5, 3, p in increasing order. p, 3, 5 Let i = -312.3 + 312. Sort 2/23, 3, -0.1, i in descending order. 3, 2/23, -0.1, i Let z be 175/49 + (-8)/14. Suppose z*c + 3 = -0*c. Put 3, -5, c in descending order. 3, c, -5 Let l = -5.604 - -0.604. Put 1, 3/2, 0.041, l in increasing order. l, 0.041, 1, 3/2 Let g = 5 + -5.4. Let u = 17 - 9. Let o be (15/(-55))/(12/u). Sort 2, g, o in increasing order. g, o, 2 Let j = -0.39 - 0.01. Suppose 3*m - 9 = 2*q, -61*m - 7 = 2*q - 62*m. Sort q, -2, j, -1/10. q, -2, j, -1/10 Suppose -5*v = 22 + 38. Suppose d - 2*k = -4, -4*k = 11*d - 10*d - 2. Put v, d, 4, 3 in descending order. 4, 3, d, v Let c = -57 + 56. Let i be (-4)/(-12)*c*(1 - 16). Sort -5, i, 4 in descending order. i, 4, -5 Let k = -248 + 272. Put 2, -0.5, k in descending order. k, 2, -0.5 Suppose -2*c + 3*z = -2*z + 6, 4*z = 4*c + 12. Let p be 2/c*(-6)/(-4). Let s be 14/(-21)*(4 + p). Put 4, s, -7 in decreasing order. 4, s, -7 Suppose -5*t = -8*t + 3. Let m be 5/(-6)*(-254)/635. Put m, 2/3, t, 5 in increasing order. m, 2/3, t, 5 Let x be -8*19/(-532)*(132 + 1). Put 5, -5, 0, x in ascending order. -5, 0, 5, x Let t(i) = -4*i. Let y be t(-2). Suppose -2*u = -3*u + 18. Suppose 11*q - u + 7 = 0. Sort q, y, -3 in descending order. y, q, -3 Let g = -1.191 - -0.791. Sort 2, g, -8, -2 in increasing order. -8, -2, g, 2 Suppose -10*t - 16*t = -26. Suppose -v = 4*i - 15, -2*i = 3*v - 0*v + 5. Sort i, -2, t, -3. -3, -2, t, i Let a be (-16)/80 - (-16)/5. Let n be (-3)/(-3) + -1 + a. Suppose -2*z - z = n. Put 2, z, 11 in increasing order. z, 2, 11 Let y = 36.1 + -40.1. Let g = -2.06 + 0.06. Sort y, 1/4, g. y, g, 1/4 Let g(s) = s**2 + s + 4. Let z be g(0). Suppose 18*v - 2*v = 38*v - 22. Put 15, v, 2, z in decreasing order. 15, z, 2, v Let q = 305/1938 + 3/323. Let u = 3 + -1. Sort u, q, -8 in decreasing order. u, q, -8 Let p = 1425 - 9981/7. Sort p, -1/5, 2/9 in decreasing order. 2/9, -1/5, p Suppose 3*g + 56 = -145. Let i = -69 - g. Put -1, i, -3 in ascending order. -3, i, -1 Let t = -13 + 8. Let y = 11 + -4. Let q be (2 - y/9) + (-6)/27. Sort t, q, -2 in decreasing order. q, -2, t Let q = 0.1 - 4.1. Let z = -2.404 - 0.596. Sort z, q, 0.3, -0.1. q, z, -0.1, 0.3 Let a be -6*(2/6 + -1). Let v be 9/2*-1*24/(-9). Suppose g = -0*c + 4*c, -a*c = 2*g - v. Put g, 1, 12 in increasing order. 1, g, 12 Let p be (4/(-6))/((-8)/60). Let w = 246 - 243. Put 2, p, w, -5 in descending order. p, w, 2, -5 Let r(k) = k**2 - 9*k + 24. Let x be r(4). Let p(w) = w + 8. Let h = 9 - 16. Let n be p(h). Sort n, -1, x in
{ "pile_set_name": "DM Mathematics" }
f*t + 2*t = 0 for t. 0 Let f be 2/(-5) + (-35)/(-25) + 9. Solve f = -b - 4*b for b. -2 Let q be 4*((-98)/4)/7. Let a = q + 16. Solve -a = -2*s - 10 for s. -4 Suppose -10*w = -15*w - 11*w. Solve w*v - 10 = -2*v for v. 5 Let t(o) = 3*o - 1. Let a be t(4). Suppose 0*v - v = -a. Solve 0 = 5*p + 31 - v for p. -4 Suppose 4*i + 3*c = -i, 25 = 5*c. Let g = i - -9. Solve h - 5 = g*h for h. -1 Suppose -7*r + 2*r = -j + 83, -2*j + 190 = -2*r. Suppose 5*o + 226 = -3*l, 2*o + 4*l = -l - j. Let u be (-168)/o + (-2)/(-11). Solve u*s = 2*s - 4 for s. -2 Let k(c) = -5*c - 6. Let p(r) = r**2 + 10*r - 4. Let d be p(-10). Let i be k(d). Let a = i - 8. Solve -q - a = -1 for q. -5 Suppose 3*f = p - 7, 0 = -2*f - 5*p + 1 - 0. Let l be (5 + f)*(-2)/3. Let w be 1/(l/4 + 1). Solve w*c = -5 + 1 for c. -2 Let y(z) = 50*z**2 - 2*z - 2. Let r be y(-1). Suppose -h = 4*h - r. Solve -h = 3*b + 5 for b. -5 Let m = 3 + 2. Let n be (-4)/6 + (-11)/(-3). Suppose -76 + 7 = -3*l. Solve m*c + l = n for c. -4 Suppose -2*u - 3 = -11. Suppose u*n + 8 = -4. Let s = n - -7. Solve -s*l - 16 = 4 for l. -5 Let n = -19 - -24. Suppose 4*k = n*k. Solve k = -2*l - 3*l + 5 for l. 1 Suppose -2*a - 2*a - 6 = -3*l, 0 = 2*a - 3*l + 6. Solve a*j = -3*j + 9 for j. 3 Let u = -4 + 6. Suppose -2*i + u*z = -12, 3*i + 0*i = 2*z + 18. Let d = i - 3. Solve 2*w = -d*w + 5 for w. 1 Suppose 10*j = 5*j + 15. Let h(u) = -2*u**2 - 6 - 4*u**2 + 2*u**2 + 5*u - u**3 - 8*u. Let s be h(-4). Solve 0*q - j*q - s = 0 for q. -2 Let m be 1/12*3*8. Suppose -m = -2*v + v. Solve 0 = -3*t - v*t - 20 for t. -4 Let w(n) = 3*n - 28. Let x be w(11). Solve -4*g - x - 7 = 0 for g. -3 Let z be 32/(-18) + 4/(-18) + 4. Solve z - 18 = -4*r for r. 4 Let b(u) be the third derivative of -u**5/60 - u**4/24 + u**3/6 + 2*u**2. Let g be b(0). Solve -g = 2*s + 3 for s. -2 Let p(s) = s - 6. Let a be p(8). Solve -w = a*w - 6 for w. 2 Let b be (105/30)/(1/2). Suppose 4*l - 5*l = 7. Let k = b + l. Solve -m + 2 - 6 = k for m. -4 Let h(p) = p**2 - 2*p**2 + 0*p**2 - p**2 + p. Let t be h(0). Solve v = 4 - t for v. 4 Let c(r) = -r. Let d be c(-2). Solve -w = d*w for w. 0 Let w = 3 + -1. Let x(f) = -6 + w + 2*f - 9. Let b be x(9). Solve 0 = b*q + 5 - 0 for q. -1 Suppose 2*a = 2*h + 20, 2*a + 5*h = -11 - 4. Suppose -a = -4*g + 3. Let q(n) = -3*n + 5. Let j be q(-5). Solve -3*t + j = g*t for t. 4 Let z be (-20)/8*4/(-5). Let t be (1/3)/(z/12). Suppose 3*u - 4 - t = 0. Solve 3*l = -u*l + 10 for l. 2 Suppose 3*d - 6 = -s, -5*s - 5*d + 9 = -21. Solve 12 = 2*f - s*f for f. -3 Let v(f) = -f**3 + 4*f**2 - 3*f + 1. Let h be v(2). Solve 0 + h = -a for a. -3 Suppose 3*k + 3 = -0. Let p be ((-3)/(-6))/(k/(-6)). Solve 12 = 6*c - p*c for c. 4 Suppose -3*s + 4 = 5*v - 23, -2*s + 2*v = -2. Suppose s = g - 0. Solve c - 3 + g = 0 for c. -1 Suppose 5*l - 29 = -0*l + 4*g, -4*l + 22 = -2*g. Let r(f) = -4 - f + 4*f + 7*f - 12*f. Let w be r(-3). Solve w*q = -l - 1 for q. -3 Suppose -2*g + 7*g = g. Solve g = 2*h - 7*h + 10 for h. 2 Let s be (-15 + -2)*(-3 + 1). Suppose -4*l + 5*o = -s, 5*l - 5*o = -3*o + 34. Suppose -88 + 12 = -4*g. Solve 5*a - g = l for a. 5 Let q(d) = d**3 + 8*d**2 + 5. Let f be q(-8). Suppose -3*v + 0 = x - 4, -2*v = -f*x + 20. Solve 2*t + 3*t + 5 = v for t. -1 Let p(t) be the first derivative of t**3/3 - t**2/2 + 1. Suppose 16 = q - 5*f, -2*f + 3*f - 1 = -4*q. Let r be p(q). Solve r = d - 2*d + 4 for d. 4 Let n be 23/(-46) + (-10)/(-4). Solve -5*z + 15 = -n*z for z. 5 Let z(x) = -2*x**2 - 5*x + 3. Let m be z(-4). Let o be (-4)/20 + (-34)/5. Let i = o - m. Solve -i*y - 5 + 1 = 0 for y. -2 Let r be 2/9 - (-129)/27. Solve f - r = -0*f for f. 5 Let n(h) = -4*h - 30. Let x be n(-9). Solve -2*d - x = -0*d for d. -3 Let j(z) = 5 + 2 - z**3 + 6*z**2 + 0*z**2 - 2 + 7*z. Let q be j(7). Solve q*d + 1 = 11 for d. 2 Let m be (-8)/(-10)*15/(-2). Let h = -4 - m. Solve -l - h = -0 for l. -2 Let z be 8/20 + 86/10. Suppose 5*i - 11 = z. Solve 1 = o + i for o. -3 Let g = 0 - 0. Suppose 2*h + 5*l - 7 = -g*l, 4*l = 4. Let j be 14 - (h + -3 + 1). Solve -4*n = n + j for n. -3 Suppose -9 = -4*u + 7. Solve -6*b + u = -7*b for b. -4 Suppose 3*j + 16 = 2*u, -4*j = 7*u - 3*u + 8. Suppose 36 = 2*v - 2*c - 0*c, -u*v + 3*c + 38 = 0. Let d be (-6)/8 + 76/v. Solve m = d*m - 9 for m. 3 Let n(z) be the first derivative of 6*z - 2 - 1/2*z**2. Let l be n(3). Solve 2*p + l*p - 10 = 0 for p. 2 Let u = -13 + 18. Solve -u*f = -2*f + 15 for f. -5 Let n(i) = -3*i - i**3 + 0*i + 1 + 3*i**2 + 2. Let y be n(2). Suppose -p + 3 = -y. Solve -j + p = j for j. 2 Suppose -f + a = 3*f - 14, -5*a + 18 = 2*f. Let z = f - 0. Solve z = m + 6 for m. -2 Let d(o) = o**2 - 5*o + 1. Let q = -4 + 9. Let r be d(q). Let n(u) = -u**3 - 9*u**2. Let z be n(-9). Solve r = t - z*t for t. 1 Let s be (-2)/(-4) + 5/2. Suppose -3*i = 5*k - 3, -2*k - k - 3*i - 3 = 0. Let u = k - s. Solve u = -2*q - 3*q for q. 0 Let s(u) = u**3 - 8*u**2 + 3*u - 4. Let n be s(8). Solve 2*l - n = -2*l for l. 5 Let z = -3 - -11. Solve -3*f = -5*f - z for f. -4 Let n(s) = s**2 - 8*s + 7. Let x be n(7). Let y be (1 + x)/(-1)*-3. Let w(k) = -k**3. Let r be w(-2). Solve g + y*g - r = 0 for g. 2 Suppose 3 = 4*v - 5*u - 3, -3*v + 2*u + 8 = 0. Solve 3*m - v = -1 for m. 1 Suppose -z + 18 = -5*y, -y - 15 = -5*z + z. Let g = 23 - 18. Suppose 11 = -g*l + 66. Solve -z*w + l = -1 for w. 4 Suppose -i + 3 = -0*i. Solve -8 = i*a - 5*a for a. 4 Let v = -83 - -88. Solve -v*f + 4*f = 0 for f. 0 Let l = -23 + 35. Let v = l + -6. Solve -4*d + v = -10 for d. 4 Suppose 8*r - 4*r = 16. Solve 0*m - r*m = -16 for m. 4 Suppose -1 = 4*j + 2*r - 15, 6 = -3*j + 4*r. Let a be 0/(-2*j/4). Solve -s + 2*s = a for s. 0 Suppose -5*p + 90 = 5*p. Solve 0 = p*t - 3*t + 24 for t. -4 Let g(w) = 2*w. Let c be g(5). Solve 4*r + c = 2 for r. -2 Let k(c) be the third derivative of -c**6/120 + c**5/15 + 5*c**4/24 + c**3/3 + 4*c**2. Let q be k(5). Solve q = -3*a + a for a. -1 Let f be 34/(-5) - (-6)/(-30). Let w = -1 - f. Solve -o - w = -4*o for o. 2 Suppose 0 = 4*q - 3*b + 4*b - 36, q - 20 = -3*b. Solve -q = 3*w + 1 for w. -3 Let f = 23 + -18. Let i be (f/15)/((-1)/(-6)). Solve -2 = -i*k + 3*k for k. -2 Let j = -20 - -12. Let t be (-9)/(-2)*j/(-12). Let s be 135/25 + (-4)/10. Solve 4*h + s + t = 0 for h. -2 Suppose -r + f - 24 = -5*r, -4*f + 30 = 5*r. Suppose -4*o + 6*o - 4 = 0. Suppose -3*i + 20 = o*m + r, -25 = 5*m. Solve 2*g = -0*g - i for g. -4 Let q(v) = 3 + 7*v - 5 + 4 - 5 - v**2. Let o be q(6). Solve 0*y = o*y - 6 for y. 2 Let h = -2 - 4. Let o be 15/h*(-4)/5. Solve -o*j = -4*j for j. 0 Let a be 4 - (4/5)/((-2)/(-5)). Solve -5 + 3 = a*c for c. -1 Let t(j) = 2*j + 2. Let w be t(0). Solve w*y + y = 0 for y. 0 Let o be (0/3 - -7)*1. Solve 3*h + 5 + o = 0 for h. -4 Let i(w) = w**2 + 3*w + 6. Suppose 7*d - 12 = 2*s + 3*d, -5*s = -3*d + 23. Let x be i(s). Solve -2*t = 3*t - x for t. 2 Let z = -4 - -3. Let c = 5 + z. Suppose -2*k + k + 2*x = -6, 5*x + c = -3*k. Solve 0 = -4*q + k - 6 for q. -1 Let c(x) = -x**3 - 2*x**2 - 2*x - 1. Let v be c(-1). Suppose -5 = -v*p - p + z, p = -z + 3. Solve -p*q + q = 9 for q. -3 Let w = -8 - -52. Suppose 13*n - 17*n + w = 0. Solve -4*q - n - 1 = 0 for q. -3 Let k = 1 - 2. Let n be 6/((3/(-2))/k). Suppose 4*w + 5*f - 7 - 8 = 0, w = -f + n. Solve 0 = -w*i - 13 + 33 for i. 4 Suppose 2*v - 4 = 3*v. Let s be 2 - -4*v/8. Solve s = -4*n - n - 20 for n. -4 Let j(n) = -n**2 - 10*n - 13. Let r be j(-8). Solve -7*d - 12 = -r*d for d. -3 Let s be 6/15 + (-7)/5. Let b be (-3)/(s - 2) + 11. Solve b = -2*x - x for x. -4 Let h be (-35)/20 - (-2)/(-8). Let t(v) = v + 2. Let y be t(-6). Let l = h - y. Solve -f = l*f - 6 for f. 2 Let c(a) = a**3 + 7*a**2 + 5*a - 3. Let b(d) = -d - 2. Let t be b(4). Let v be c(t). Suppose 0 = -p + 4 - 0. Solve -p = v*x - x for x. -2 Let q = -11 - -15. Solve 0 = -q*n - 0*n + 8 for n. 2 Let o(c) = 22*c**2. Let y = -9 + 10. Let d be o(y). Solve 5*a = 3 + d for a. 5 Suppose t + 3*t = 8. Suppose -j = -4*q + 13 - 5, -q + t = -5*j. Solve 4*u = q*u + 4 for u. 2 Let z be (-1)/2*0/2. Solve z - 2 = -k for k. 2 Let m(b) = -b - 1. Let v be m(-3). Suppose -r - v*r = 0. Let n = 41 + -39. Solve -n + r = t for t. -2 Let i be 24/(-4) + 3*1. Let r be i - (-1 + -4 + 0). Solve o = -r*o for o. 0 Let h(r) be the first derivative of -r**3/3 - 7*r**2/2 + 10*r - 2. Let f
{ "pile_set_name": "DM Mathematics" }
is five quarters of a centimeter in micrometers? 12500 How many hours are there in 3800933.1 nanoseconds? 0.00000105581475 Convert 95556.35 millimeters to centimeters. 9555.635 What is 5488.538 days in hours? 131724.912 Convert 0.2285847 minutes to hours. 0.003809745 What is 11/10 of a millennium in centuries? 11 How many seconds are there in eight fifteenths of a day? 46080 How many kilograms are there in 0.9300103ug? 0.0000000009300103 How many meters are there in twenty-seven fifths of a kilometer? 5400 How many millilitres are there in three fifths of a litre? 600 What is 42/5 of a kilometer in meters? 8400 How many kilograms are there in 7/8 of a tonne? 875 What is 576.128ng in milligrams? 0.000576128 What is 28129.71 kilometers in centimeters? 2812971000 How many grams are there in fifty-one quarters of a kilogram? 12750 What is twenty-six fifths of a tonne in kilograms? 5200 How many millilitres are there in thirty-two fifths of a litre? 6400 How many milligrams are there in 1/16 of a kilogram? 62500 How many months are there in 2/15 of a decade? 16 What is 81.24427 millennia in decades? 8124.427 What is 621.2393 milligrams in micrograms? 621239.3 How many micrometers are there in 42/5 of a centimeter? 84000 How many milligrams are there in 9824.405 nanograms? 0.009824405 How many minutes are there in 111.10965 seconds? 1.8518275 What is 22.34201 millilitres in litres? 0.02234201 What is 5/4 of a milligram in micrograms? 1250 Convert 28.3981 millennia to months. 340777.2 How many millimeters are there in 1/10 of a kilometer? 100000 What is 0.7937003ml in litres? 0.0007937003 What is 567203.5ml in litres? 567.2035 Convert 3586.175t to grams. 3586175000 How many millilitres are there in 0.2256898l? 225.6898 How many months are there in 81309.09 years? 975709.08 How many litres are there in 8.95452ml? 0.00895452 What is 21/8 of a microgram in nanograms? 2625 How many millimeters are there in 94.65405 micrometers? 0.09465405 What is thirty-one halves of a litre in millilitres? 15500 What is 389.4601ml in litres? 0.3894601 What is 26/5 of a centimeter in millimeters? 52 What is seventy-three quarters of a microsecond in nanoseconds? 18250 What is seventeen quarters of a century in years? 425 How many millilitres are there in three fifths of a litre? 600 How many years are there in 1286.721 centuries? 128672.1 How many seconds are there in seven quarters of a minute? 105 Convert 255543.57 months to centuries. 212.952975 Convert 4199.382 decades to months. 503925.84 How many grams are there in 1/10 of a kilogram? 100 What is 5/8 of a tonne in kilograms? 625 How many millilitres are there in seven quarters of a litre? 1750 How many micrograms are there in 15/4 of a milligram? 3750 Convert 4439.82ml to litres. 4.43982 What is twenty-seven halves of a tonne in kilograms? 13500 What is three eighths of a micrometer in nanometers? 375 What is fourty-two fifths of a litre in millilitres? 8400 How many centimeters are there in 93.77945mm? 9.377945 What is seven quarters of a litre in millilitres? 1750 How many micrograms are there in 0.7112031 nanograms? 0.0007112031 How many milliseconds are there in 5/6 of a minute? 50000 Convert 6306.558t to nanograms. 6306558000000000000 What is five quarters of a kilogram in grams? 1250 Convert 630.3189 seconds to minutes. 10.505315 How many nanograms are there in fifty-three quarters of a microgram? 13250 What is 3/40 of a milligram in micrograms? 75 Convert 7328.078 hours to microseconds. 26381080800000 What is nine tenths of a litre in millilitres? 900 What is 68177.98mm in kilometers? 0.06817798 How many minutes are there in sixteen sevenths of a week? 23040 Convert 2.09194t to micrograms. 2091940000000 How many nanometers are there in 13.02541km? 13025410000000 What is 929802.7ml in litres? 929.8027 What is one quarter of a litre in millilitres? 250 What is 74/3 of a minute in seconds? 1480 What is five eighths of a century in months? 750 What is eleven quarters of a tonne in kilograms? 2750 What is 986.327 millimeters in kilometers? 0.000986327 How many millimeters are there in 29/5 of a meter? 5800 What is seventy-four fifths of a litre in millilitres? 14800 What is three fifths of a microgram in nanograms? 600 How many kilograms are there in 46813.76 milligrams? 0.04681376 What is 2032.869 millilitres in litres? 2.032869 How many grams are there in 415.0408 nanograms? 0.0000004150408 How many centuries are there in 39269.78 decades? 3926.978 How many millilitres are there in 17.385 litres? 17385 How many micrometers are there in 6/25 of a millimeter? 240 What is 34/5 of a century in years? 680 What is 7709.686 years in centuries? 77.09686 What is 88845.19 kilograms in grams? 88845190 How many millimeters are there in eleven tenths of a meter? 1100 What is 3/5 of a meter in millimeters? 600 What is 504.472941 minutes in weeks? 0.05004691875 How many millennia are there in 3516.947 years? 3.516947 How many months are there in 4/15 of a decade? 32 What is 6993.056 litres in millilitres? 6993056 How many millilitres are there in five eighths of a litre? 625 What is 32997.13 litres in millilitres? 32997130 How many hours are there in 71/4 of a day? 426 How many micrograms are there in 625.3065 grams? 625306500 What is twenty-five quarters of a gram in milligrams? 6250 What is 3/25 of a meter in millimeters? 120 What is 43/2 of a kilometer in meters? 21500 What is three fifths of a decade in years? 6 How many months are there in eight fifteenths of a millennium? 6400 What is 83.30957 decades in months? 9997.1484 How many micrograms are there in 0.8995091 grams? 899509.1 How many decades are there in 40.37957 years? 4.037957 How many years are there in 44/5 of a century? 880 How many minutes are there in 2.0284662ms? 0.00003380777 What is 0.2884804 days in milliseconds? 24924706.56 What is 1/5 of a centimeter in millimeters? 2 What is 1/4 of a tonne in kilograms? 250 What is 48/5 of a litre in millilitres? 9600 How many meters are there in 33.55243 micrometers? 0.00003355243 How many months are there in 7/3 of a year? 28 Convert 2285.216m to millimeters. 2285216 How many minutes are there in 23.002362 milliseconds? 0.0003833727 How many millimeters are there in nineteen quarters of a meter? 4750 What is one sixteenth of a kilogram in milligrams? 62500 What is 17/2 of a litre in millilitres? 8500 What is 659407.4 kilograms in grams? 659407400 What is 7.421504cm in millimeters? 74.21504 What is 3/50 of a kilometer in millimeters? 60000 What is 7/2 of a kilometer in meters? 3500 Convert 0.6401462 millimeters to kilometers. 0.0000006401462 What is 107026.62 months in decades? 891.8885 How many micrometers are there in three eighths of a millimeter? 375 What is fourty-six fifths of a centimeter in micrometers? 92000 Convert 11157.81 litres to millilitres. 11157810 What is 3/5 of a century in months? 720 What is twenty-six fifths of a micrometer in nanometers? 5200 How many kilograms are there in 21.45684ng? 0.00000000002145684 How many grams are there in one tenth of a kilogram? 100 What is 43183.48 millennia in months? 518201760 What is 3.105786m in centimeters? 310.5786 Convert 53270.74 hours to milliseconds. 191774664000 How many millilitres are there in three eighths of a litre? 375 How many litres are there in 0.4801955ml? 0.0004801955 Convert 1090237.428 microseconds to weeks. 0.00000180264125 Convert 0.0445103 kilograms to milligrams. 44510.3 How many nanograms are there in 483543.3ug? 483543300 How many millilitres are there in 4.827755 litres? 4827.755 What is 21/8 of a week in minutes? 26460 Convert 90.697968 seconds to days. 0.001049745 How many millimeters are there in 500826.7 nanometers? 0.5008267 How many millilitres are there in 7/2 of a litre? 3500 What is 655.2497 years in millennia? 0.6552497 How many micrometers are there in 3/25 of a millimeter? 120 What is 6/5 of a day in minutes? 1728 What is seven halves of a millennium in decades? 350 What is 0.7270646m in millimeters? 727.0646 How many litres are there in 9874.221ml? 9.874221 How many milligrams are there in 86.49812 nanograms? 0.00008649812 How many nanometers are there in fifty-nine quarters of a micrometer? 14750 How many tonnes are
{ "pile_set_name": "DM Mathematics" }
-4 (c) 0.1 a Let g = 0.1 - 0. Let z be (-90)/(-32 - -41)*((-2)/(-16))/(-1). What is the nearest to g in 3, z, 0? 0 Let z be (-2)/(-6) - 10/(-12). Let v = -13471 - -6829795/507. Let c = -76/507 + v. What is the closest to z in c, 1/3, -0.2? 1/3 Let j = 3.96 - -0.04. Let r = 666 + -666.06. What is the closest to -3 in r, j, 0.3? r Let t = -1290 + 6447/5. Which is the nearest to 1? (a) -95 (b) t (c) -4 b Let z = 5 - 6. Let o = 12 + -7. Let p = o + -4. What is the nearest to -1/3 in p, -2/11, z? -2/11 Let d = 0.044 - 0.013. Let f = d + 0.469. What is the nearest to -1 in f, 0.4, -2/5? -2/5 Let k = -4.9 + -0.1. Let h = -17 + 17.4. Which is the closest to 5? (a) h (b) 0.3 (c) k a Let n = 1.4 + -1. Suppose 10*y = 3*z + 14*y, 0 = 2*z - 3*y. Let g be (-2)/25*5/(-4). Which is the nearest to -1/2? (a) z (b) g (c) n a Suppose 164 = -51*g + 521. Which is the closest to -1? (a) -4 (b) g (c) -1/2 c Let r = -219/140 - -37/20. Which is the nearest to 1? (a) 11 (b) r (c) -0.1 b Let j be ((-2)/(-4))/((-2)/(-12)). Suppose -5*l = -3*u - 9, -3*l - j = l + u. Which is the nearest to 1? (a) -4 (b) l (c) 0.3 c Let d = -1071 - -1075. Which is the nearest to -2? (a) -2/13 (b) d (c) -1 c Let y = 27 + -26.8. Let p be 1/(5/20) - 7. Which is the nearest to p? (a) -1 (b) 1 (c) y a Let y = -1.09 + 1.19. What is the closest to 17 in -0.1, y, 4? 4 Let d = -245 - -981/4. Which is the closest to 1? (a) d (b) 1/5 (c) -0.01 a Let m = 450 - 441. What is the closest to 1 in -0.2, 0.3, m? 0.3 Let r be 4/(-12)*-6 + (-12)/9. Which is the nearest to r? (a) -3 (b) -0.3 (c) 0.057 c Let r be 1386/945 + 4/(-3). What is the closest to -3/20 in 5, r, 13, -3/8? -3/8 Let s = 257.3 - 257. Which is the nearest to -1? (a) 4 (b) s (c) -2/15 (d) 2.4 c Let m(i) = 4*i**2 - i. Let k be m(-1). Let x = 6.54 - 6.48. Which is the closest to x? (a) 0.1 (b) 4 (c) k a Let t = -258/31 + 3808/465. Which is the nearest to 0.043? (a) 6 (b) t (c) -5 b Let x = 694/33 + -246/11. What is the closest to -1 in 5, -0.05, x? x Let g(o) = 64*o + 772. Let p be g(-12). What is the nearest to -1 in -1, p, 0.06? -1 Let x = 21 + -24. Let s = -12.2 + 12.7. Which is the closest to 2? (a) -2/7 (b) s (c) x b Let h = -203 + 207. What is the nearest to 9 in -0.1, h, -0.2? h Let i = 0.29 - -25.71. Let u = i - 26.4. Let q = -0.05 - -0.15. Which is the closest to q? (a) u (b) 3 (c) 2 a Let u = -0.003 + 1.003. Let j = -0.2 - -0.8. Let m = j - 0.2. What is the nearest to u in m, -2/3, -1? m Let m = 979.7 + -979.9. Let n(z) = 2*z + 5. Let u be n(-4). What is the closest to u in m, -1/4, 1? -1/4 Let k = 2.061 - 2.161. Let u = -0.07 - -0.37. Let w = -2 + 2. Which is the closest to k? (a) 0.1 (b) u (c) w c Let p be (-1)/((-26)/4) - 100/(-26). Which is the closest to 1? (a) p (b) -4 (c) -1/7 (d) 1 d Let g = -10.9 - -11. Let s = 26 - 26.13. Let l = s - 3.87. What is the closest to 2/11 in -5, l, g? g Let c = -369/10 - -192/5. What is the nearest to 0.1 in -0.4, c, -0.9? -0.4 Let t = 1 + -0.8. Let r = -0.1 + t. What is the closest to -1/2 in -3/2, -3, r? r Let r = 148 - 148. Suppose -4*x + r*x + 27 = -d, 0 = 3*x + 2*d - 34. Which is the nearest to 1/2? (a) -2/5 (b) -4 (c) x a Let u = 0.3 - -0.2. Let n = -0.059 - -1.309. Let f = 0.25 - n. What is the closest to 0.1 in u, -2, f? u Let x = 12 + -13.2. Let k = x + 6.2. Let w = 18.4 + -18. Which is the nearest to -2? (a) w (b) 1/4 (c) k b Let q be 2196/(-550) - (-8 - -4). Let a = 291/2200 - q. What is the nearest to 2 in 1, 0.3, a? 1 Let q = -29.24 + 29. Let k = q - 0.76. Let j = -18 - -18.4. Which is the nearest to k? (a) 5 (b) j (c) -0.2 c Let a be -11 - -9 - 2*-2. Let l = 144 + -1586/11. What is the closest to l in -2/3, a, -5? -2/3 Let k = -537 - -526. Which is the closest to 12? (a) 3 (b) k (c) -0.3 a Let s = 0.247 + -10.247. Suppose 5*y - 9 = 4*u, -5*y - u + 4*u = -8. Which is the closest to y? (a) 0.4 (b) 0 (c) s a Let i(h) = -h**2 + 5*h - 7. Let j be i(3). Let p = 80 - 45. Let c = p + -35.3. What is the closest to -1 in 3/7, c, j? j Let s be (-37)/185*4/6. Let p = -5 + 4.6. Let w = -3 - -2. Which is the nearest to w? (a) p (b) s (c) -4 a Let n = -11 - -6. Let z = -0.87 - 55.13. Let w = -52 - z. Which is the closest to -2/3? (a) -4 (b) n (c) w a Let u be (1/(-15))/(4/(-24)). Let r(w) = w - 13. Let d be r(5). Let p = 10 + d. What is the closest to u in 0.1, 1, p? 0.1 Let b = -15.7 + 16. Suppose -114*t + 8 = -122*t. What is the nearest to 0 in -1/4, b, t? -1/4 Let j be (-2)/(4/(-18) + 8/9). Let z be j/2*(-12)/(-72). Which is the closest to -0.5? (a) 0.3 (b) z (c) -3 b Let l = -15.4 + 15. Let f = -0.648 + -0.352. Which is the closest to f? (a) 1.1 (b) -1 (c) l b Let d be 10*4/24*3. Which is the closest to -1? (a) d (b) 4 (c) -1.7 c Let l be 2/2 + (1 - -2). Let v = 87 - 87. Which is the nearest to v? (a) 2/5 (b) l (c) -12 a Let b = -0.3 - -4.3. Suppose 6*z - 15 = -3*w + z, w - 15 = -5*z. Suppose 3*j - 2*h + 5 = w, -3*h - 2 = -14. What is the closest to 2/3 in b, j, -1? j Suppose -4*w + 14 = -0*w - 5*l, 3*w - 1 = -l. Let y be ((-6)/(-27))/(w/3). What is the closest to 3/4 in 1/3, y, -4? y Suppose 5*o = -4*u - 14, 10 - 3 = 3*u - 5*o. Let j = 2710 - 2708. Let l = -96 - -673/7. Which is the nearest to u? (a) j (b) l (c) 9 b Let c = 0.04 - -0.36. Let o be ((-4)/(-8))/((-4)/48). Let x be (o/(-21))/(8/14). What is the closest to x in 0, c, -2? c Let o = 3.1 + -3. Let s = -247 + 248. What is the nearest to s in 0, o, -2/9? o Let h = 24 + -28. Which is the closest to 0? (a) -2/3 (b) h (c) 0.05 c Let g = 0.182 - 0.212. Let p = -45 + 42. Which is the nearest to -0.1? (a) -0.3 (b) g (c) p b Let d be (-8)/(-6) + (-1 - 0). Let o = 24 + -20. Let r = -4.3 + o. What is the nearest to -1/4 in r, -0.5, d? r Let i = 0.03 - 28.03. Let l = -25 - i. Let s = 50/133 + 1/19. What is the closest to -1/2 in l, s, 1? s Let m be (-155)/420 - 4/(-48). What is the closest to 1/2 in -1.07, m, -0.3? m Let d = 217 + -869/4. Which is the closest to -1? (a) 3/4 (b) d (c) 1 b Let n = -0.42 - -0.02. Suppose 35 = s + 15. Suppose -d - 3 = -l, 0 = 2*l + 5*d + 2 + s. What is the nearest to l in n, 1/5, -0.2? n Let s = -62/3 - -22. Let u = 401 - 400.96. Which is the closest to 1/3? (a) 0.4 (b) u (c) s a Let z = -13/114 - 22/57. Suppose 2*s + 2 = 0, -3*o + 2*s = 1 + 3. Which is the nearest to z? (a) o (b) -0.5 (c) 15 b Let u be (-1 - 16/(-6)) + -2. Let p = -0.67 - -0.37. What is the nearest to 0.1 in 1/6, p, u? 1/6 Let l = -689 + 687. Let z = 1.02 - 1. Let t = -3.98 - z. Which is the closest to 1? (a) -8 (b) l (c) t b Let a = -422 - 312. Let z = -15410/21 - a. Let w = -6/7 + z. What is the nearest to 1 in 4, w, -3? w Let s = -0.2 - -4.2. Let o = -27 + 28. Which is the nearest to o? (a) s (b) 2 (c) 0.3 c Let i = 0.208 - 0.308. Let m = 14 - 14. Which is the closest to 0? (a) 3/7 (b) m (c) i b Let n = 3.97 - 3.8. Let f = -0.44 - -0.17. Let j = n + f. What is the nearest to j in -0.5, 1/3, 2/23? 2/23 Let n = -23.41 + 23.51. Which is the closest to n? (a) -0.04 (b) 3/5 (c) -4 (d) -6 a Let z be 8/(-6)*(-2)/(-4). Suppose 0 = 43*u - 36*u + 7. What is the closest to -8 in u, z, -2? -2 Let w be ((-1)/(-5))/(40/(-50)). Let b = -0.27 + 0.49. Let m = b + -0.18. What is the closest to 1 in w, -0.4, m? m Let h = -15154 + 15152. Suppose 3*k + 5*u = k - 25, -5*u = 4*k + 25. Which is the nearest to k? (a) 0.2 (b) h (c) -4 a Let p = 0.41 - 3.81. Let f = 35.4 + -35. Let m = f + p. What is the closest to 0.08 in -0.1, m, -2? -0.1 Let d = 0.98 - 1.08. What is the closest to d in -2, 0, 0.14, -0.4? 0 Let x be 2/4 - 417/(-18). Let p = 207 - 183. Let f = p - x. Which is the closest to f? (a) 4 (b) 0.1 (c) -5/4 b Let q = -91.5 - -73.9. What is the nearest to -0.1 in -3/4, q, 0.2? 0.2 Let u = 6643 + -6641. Let i = 0.1 + -0.2. Which is the closest to 0.3? (a) 4/13 (b) i (c) u a Let g be (-1)/2*4*-2. Let x = -4 + -1. Let y = 11 - 15. Which is the closest to 2? (a) x (b) y (c) g c Let o = 5908 - 5905. Let p = -4 + 3. Let m = p + 3. Which is the nearest to m? (a) 2 (b) o (c) 1/6 a Let l = -13 - -11. Let h = -3.1 + 8.1. Which is the closest to 0.02? (a) l (b) 0 (c) h b Let f = -834/5 - -166. Which is the closest to 0? (a) 2/13 (b)
{ "pile_set_name": "DM Mathematics" }
rd biggest value? (a) -1 (b) r (c) 0.1 b Let o = -76 + 75.5. What is the second biggest value in 3/5, o, -7.9, 2? 3/5 Let c be (-81)/72*4/(-6). What is the second biggest value in -1/5, -0.4, c, 4? c Let s = 15 + -13. Let g = -0.7 - -1. Which is the smallest value? (a) g (b) -3/4 (c) s b Let r = -9 - -14. Let p = 3.79 - -0.21. Let o = 1.5 - 2. Which is the biggest value? (a) p (b) r (c) o b Let b = -41/44 - -2/11. What is the second biggest value in 4, 2, b? 2 Let x = 30 - 43. Let i = -10 - x. Let u = 0 + -0.2. What is the smallest value in -0.3, u, i? -0.3 Let n be (-2 + (-11)/(-7))*-7. What is the second biggest value in n, -3, 0.08? 0.08 Let v = -41 - -39. What is the second biggest value in -0.5, 1, v, 5? 1 Let h = -5 + 15. Let z = 0 - h. Let d = z + 10.4. What is the second smallest value in -0.1, -1/4, d? -0.1 Let s be 2/(-30) - (-11)/(-33). What is the third biggest value in 3/2, -1/3, s? s Let m be 36/16 - (-2)/(-1). What is the second biggest value in -6/11, -1/2, m? -1/2 Let p be (-49)/17 - (-9 - -6). Which is the third biggest value? (a) -0.04 (b) p (c) 1/5 a Let q be 1/(-3) - 1/(-9). Let p = -0.17 - 7.83. Let i = 7 + p. What is the second smallest value in 5, i, q? q Let t(o) = -o**3 - 11*o**2 - 8*o. Let k be t(-7). Let m be 95/k + (-1)/(-4). What is the biggest value in -3/4, m, 0? 0 Let a = 42.66 - 42. Let r = a + -0.06. Let o = 0.5 - r. What is the second biggest value in -5, o, -0.2? -0.2 Let i be -5 + 1 - (-2)/1. Which is the second biggest value? (a) i (b) 5 (c) 0.6 c Let o = -135.28 + 162.2. Let h = o - 27. What is the smallest value in h, -4, 0.1? -4 Let d = -3450 - -251854/73. Let j = 239/365 - d. Let u = -49 + 49.5. What is the smallest value in 4, u, j? u Let p be (-6)/9*1/1. What is the smallest value in p, -4, 4? -4 Let u be (-6)/(-8)*(-5 - -1). Let x be (8/(-12))/((-5)/u). Let i = 8 - 4. Which is the second smallest value? (a) 0 (b) i (c) x a Let v = 68 - 68.5. What is the third biggest value in 0.1, -0.2, 2/7, v? -0.2 Let z = -5.819 + 0.019. Let u = z + 0.8. Let j(q) = 6*q + 38. Let g be j(-7). What is the third smallest value in u, g, 0.4? 0.4 Let b be (-1604)/1416 + (2 - 1). Let i = b - 2/59. What is the biggest value in i, 3, -2/17? 3 Let y = 31 - 42. Let g be (-39)/(-9) - (-2)/(-6). Let f be (g + -1 + y)/(-2). Which is the third biggest value? (a) 2 (b) 1/3 (c) f b Suppose 4*t - 7 + 19 = 5*n, 5*t = 10. Suppose n*r = 4*k, 0 = -4*k - k - 15. What is the smallest value in 4, r, 2? r Let o = -17 - -10. Let p = o - -2. Which is the smallest value? (a) p (b) 1/5 (c) 1/7 a Let t = -0.429 - -0.029. Which is the third smallest value? (a) 1/5 (b) t (c) -2 (d) 2/3 a Let c = -2.02 + 0.02. Let v = -7.73 - -0.23. Let j = -8 - v. What is the smallest value in c, j, 3? c Let w = -19 + 19. Let u = -11 + 7. Which is the third biggest value? (a) w (b) u (c) 1/6 b Let j = 0.3 + -0.3. Let s = 10 + 1. Let b = -10.8 + s. What is the biggest value in b, j, 0.4? 0.4 Let l = -13/12 + 4/3. Let o = 0.06 - -0.24. Let k = -145/2 - -74. Which is the third smallest value? (a) o (b) k (c) l b Let v = 0.1 - 5.1. Let k be (-20)/(-11) - (3 + -1). Which is the biggest value? (a) v (b) k (c) 2/25 c Let c(h) = -h**2 + 8*h + 13. Let g be c(10). What is the third smallest value in 0.2, 4, g? 4 Let f = -0.02 + -2.88. Let m = -3 - f. Let l = -4.1 - m. Which is the biggest value? (a) 4 (b) l (c) 0 a Let n = -44.5 + 37. Let p = -8 - n. Let s be (-12)/80*(-5)/2. Which is the second smallest value? (a) p (b) s (c) 0.1 c Let p = -23/9 - -547/207. Let b = 0.09 + 0.01. What is the second smallest value in p, -0.1, b? p Let r = -35 + 35.5. Which is the biggest value? (a) r (b) 5 (c) -2/7 b Let f = -4.9 - -6.9. What is the third biggest value in -0.2, f, -1/3? -1/3 Let u be -3 + (-4)/(-1) - -2. Let s be 3 + (-1)/u*0. Let h be s*(-1)/(-27)*2. Which is the second biggest value? (a) 3 (b) h (c) -5 b Let x = 5 - 3. Suppose 4*i = -q - x*q - 8, -4*q = -i - 21. Suppose 0 = a + q, 4*y = -a - 4. What is the third biggest value in -3, y, 0.2? -3 Let p be 1*(0 + 1 - 0). Let w = 5 - p. Suppose -w*z + 7*z = 6. Which is the second smallest value? (a) z (b) 1/2 (c) -2/7 b Let s = -18 - -18.3. What is the third smallest value in s, 2/3, -3? 2/3 Let g be 2 - 5 - 600/5. Let x = 83 + g. Let o be (-10)/x - (-2)/56. Which is the third smallest value? (a) 5 (b) o (c) -1/3 a Suppose -3*h = -2*b + b - 4, -5*h = 2*b - 25. What is the second biggest value in 0.5, 1.3, b? 1.3 Let p = -1 + 1.01. Let i = 0.29 + p. Suppose t - 3*n - 5 = 6, 3*t = 4*n + 18. Which is the second biggest value? (a) t (b) i (c) -3 b Let f(u) = 3*u + 10. Let w be (-2)/((16/10)/4). Let h be f(w). What is the third smallest value in 4/7, h, 0.2? 4/7 Let t be (-4)/(-10) + (-11)/(-10). Let n = 6 - -4. Let s = n - 8. What is the third biggest value in t, -0.5, s? -0.5 Let k be (-3*(-2)/15)/1. Let s = -3.8 + 3.8. Which is the third biggest value? (a) s (b) k (c) -2 c Let z = -10/23 - -64/253. Which is the third biggest value? (a) 1/4 (b) z (c) 0.1 (d) 0 d Let q = 47 - 50. Which is the smallest value? (a) 1 (b) 4 (c) 3/7 (d) q d Let n be 1/((-3)/24) + 3. Let j = 23/5 + n. Which is the second smallest value? (a) j (b) -2 (c) -5 b Let x be (-10)/(-6)*(-4)/30. Let h = -19.27 - -20. Let q = -0.23 + h. What is the third smallest value in 3, x, q? 3 Let r = 0.03 - 0.08. Let j = -2.05 - r. Which is the third smallest value? (a) -1/4 (b) j (c) 1/2 c Let q(r) = 2*r + 8. Let v be q(-4). What is the smallest value in 15, -0.3, v? -0.3 Suppose -f + 0 + 3 = 0. Suppose 2 = -f*t - 1. Let q be t + 0 + 0/(-2). Which is the biggest value? (a) -4 (b) -5 (c) q c Let m = -0.49 - -4.49. What is the fourth smallest value in m, 2/7, 4/3, -2/5? m Let y = 0.4 - 0.4. Let n = y + 0. Let t = n + 0.1. Which is the biggest value? (a) -5 (b) t (c) 3 c Let g = 0.04 + -0.24. Let k be 6 + (2 - -1) + 0. Which is the second smallest value? (a) k (b) g (c) 2 c Let u = -23.02 + 23. Let w = -0.02 - u. Which is the biggest value? (a) 0.2 (b) w (c) -1/2 a Let r = 3417/13 - 263. Which is the third biggest value? (a) -0.4 (b) r (c) -5 c Let m = 0.4 - 3.4. Let d = -1 + m. Which is the third smallest value? (a) d (b) 2/5 (c) 2 c Let b be (-10 - -3) + (-1 - 2). Let r = b - -5. Let j = -0.5 - 0. What is the third smallest value in j, 1, r? 1 Let x = 53.6 - 54. What is the third biggest value in x, 4, -3? -3 Let o = 1 - 2. Let x = 1/240342 + 332179/240342. Let g = -2/41 + x. Which is the third biggest value? (a) -3/2 (b) g (c) o a Let m = -1 + 7/5. Which is the second biggest value? (a) 3 (b) 1/3 (c) m c Let m = 300 + -288.05. Let r = 12 - m. What is the smallest value in 1/5, r, 1? r Let d be 0 - ((-2 - -1) + 0). Which is the smallest value? (a) d (b) 0.03 (c) -0.3 c Let m = -2.794 - 0.126. Let x = m + -0.08. Which is the third biggest value? (a) x (b) 1/2 (c) 0.07 a Suppose -4*o = o - 350. Let d = -116 + o. Let q = 185/4 + d. What is the biggest value in -3, 0.5, q? 0.5 Let p = 23/36 - -1/9. What is the second biggest value in p, 0.1, 1? p Let q = 0.1 - -0.6. Let l = q - 1. What is the third smallest value in 1, 2/5, l? 1 Let q = -7.2 + 5. Let w = -13.2 - q. Let o = w + 11.2. What is the third smallest value in o, -5, -1? o Let q = -23 - -22.9. Let r = -5 - -4.6. What is the third smallest value in 2, q, r? 2 Let j be -1*(-6)/(-9)*-2. Which is the third biggest value? (a) 0.08 (b) j (c) 4 a Let q(c) = 7*c - 68. Let u be q(6). What is the fourth biggest value in -0.4, 2/9, 5, u? u Let o = 162 - 161.8. Which is the smallest value? (a) 7 (b) o (c) 5 b Let t be (-3)/15 + 108/15. Let u be (-11)/12 + t/(-21). What is the second biggest value in -0.6, u, -3? u Let p = -3/251 - -655/12801. What is the fourth smallest value in p, -0.2, -3, 1? 1 Let u = -45/76 - 3/19. Let j = 0 - -0.5. Which is the second smallest value? (a) u (b) j (c) 1 b Let b(c) = -c**3 - 12*c**2 + 13*c + 4. Let p be b(-13). What is the second biggest value in -5/3, p, 0, 0.5? 0.5 Let n be 5/(-2)*12/(-10). Let v = -1.6 - -0.6. What is the third biggest value in -2, n, v? -2 Let z = -1 + -3. Let x = z - -4. What is the second smallest value in 2, x, -3? x Let l = 0.1 - 0.3. Let j = 2.01 - 0.01
{ "pile_set_name": "DM Mathematics" }
2*(3*z + 2)/4 Let u = 2 + 0. Suppose -q - b + 2 = -3, u*q = -4*b + 14. What is p in -2*p**4 - 6*p**2 - p + 6*p**q - p + 4*p = 0? 0, 1 Determine s, given that -95/4*s + 9/8*s**4 + 39/4*s**3 - 31*s**2 - 33/8 = 0. -11, -1/3, 3 Let i(x) be the third derivative of 49/6*x**3 + 7/24*x**4 + 0*x + 25 + 1/240*x**5 - 2*x**2. Suppose i(j) = 0. What is j? -14 Let i(k) be the third derivative of k**6/660 + k**5/66 - 4*k**4/11 - 84*k**3/11 + 127*k**2 - 1. Factor i(u). 2*(u - 7)*(u + 6)**2/11 Let l(m) = 6*m + 26. Let o be l(-4). Factor -8/5*p**3 - 32/5*p - 16/5 - 24/5*p**o - 1/5*p**4. -(p + 2)**4/5 Find s, given that 20*s - s**3 - 10*s**4 - 8*s**3 + 5*s**5 + 20*s**2 - 6*s**3 = 0. -1, 0, 2 Factor 48/7 + 2/7*b**2 + 20/7*b. 2*(b + 4)*(b + 6)/7 Let s = 90 - 86. Suppose 36 - 21 = 5*q. Factor 1/4*f**2 - 1/4*f - 1/4*f**s + 0 + 1/4*f**q. -f*(f - 1)**2*(f + 1)/4 Let p(i) = -2*i**2 + 7*i - 1. Let d = 41 + -32. Let x(l) = -7*l**2 + 29*l - 4. Let c(n) = d*p(n) - 2*x(n). Factor c(b). -(b - 1)*(4*b - 1) Suppose -3*m - 2*m = -i - 5, -15 = 5*m - 5*i. Factor 4*k - 6*k + 51*k**2 - 52*k**m. -k*(k + 2) Let w be (-60)/(-18) + 2/3. Factor v**2 + w - 4*v**2 + 5 - 6*v + 0*v. -3*(v - 1)*(v + 3) Factor 9/2*p**2 - 1/2*p**4 + 0*p**3 - 6 + 2*p. -(p - 3)*(p - 1)*(p + 2)**2/2 Suppose r - 4 = 2*q - r, 3*q - 5*r = -14. Find a such that 0 - 2/19*a**q + 0*a = 0. 0 Let r(d) be the third derivative of d**6/120 + d**5/12 + d**4/6 - 18*d**2 - 8*d. Let r(z) = 0. What is z? -4, -1, 0 Let r(u) = -62*u**3 - 816*u**2 - 3472*u - 4915. Let b(g) = g**3 - 2*g - 1. Let t(v) = 6*b(v) - 3*r(v). Suppose t(n) = 0. What is n? -17/4 Let s(x) be the second derivative of 1/15*x**6 - 2/3*x**3 - 2/5*x**5 + 0*x**2 + 0 - 23*x + 5/6*x**4. Factor s(u). 2*u*(u - 2)*(u - 1)**2 Let d be 2/13 + 82/(-533). Let w(k) be the third derivative of d - 1/120*k**4 + 4*k**2 - 1/30*k**3 + 1/300*k**5 + 1/600*k**6 + 0*k. Suppose w(b) = 0. What is b? -1, 1 What is j in 0 - 3/2*j**3 - j - 1/2*j**4 + 5/2*j**2 + 1/2*j**5 = 0? -2, 0, 1 Factor 80/3*m**2 - 10*m**3 + 160/3*m + 0 + 5/6*m**5 - 10/3*m**4. 5*m*(m - 4)**2*(m + 2)**2/6 Suppose 0*y - 2*y = 36. Let a = -81/5 - y. Factor -6/5*x - a + 3/5*x**2. 3*(x - 3)*(x + 1)/5 Factor -4/7*f**2 + 4 - 54/7*f. -2*(f + 14)*(2*f - 1)/7 Let o be (28/8)/(24 - 13)*(-12)/(-7). Determine g so that o*g + 4/11 + 2/11*g**2 = 0. -2, -1 Factor 0 - 44*t**2 - 1/2*t**3 - 968*t. -t*(t + 44)**2/2 Let v(i) be the first derivative of 2*i**3/3 - 58*i**2 + 1682*i - 188. Factor v(r). 2*(r - 29)**2 Let z(o) be the first derivative of -o**3/18 + o**2/6 - 41. Suppose z(a) = 0. What is a? 0, 2 Let o(c) = 11*c + 37. Let q be o(-3). Determine d, given that 3/5*d**5 - 6/5*d**q + 12/5*d + 0 + 12/5*d**2 - 9/5*d**3 = 0. -1, 0, 2 Suppose -5*u + 2*u - 4*p = 10, 4*u + 3*p + 4 = 0. Let d(b) be the second derivative of -7/3*b**3 - b + 0 + 7/10*b**5 - 1/3*b**4 + u*b**2. What is l in d(l) = 0? -1, 2/7, 1 Let s(o) = 3*o**3 - 10*o**2 - o - 4. Let v(c) = -21*c**2 - 25*c**3 + 47*c**3 - 16*c**3 - 3*c - 9. Let a(i) = -9*s(i) + 4*v(i). Factor a(p). -3*p*(p - 1)**2 Let s(h) = h**2 - 4*h - 4. Let l be s(6). Suppose -7*p = -3*p - l. Let -4*z - z**p - 1 - 5 + 2 = 0. Calculate z. -2 Let g(u) = -u - 15. Let v be g(-15). Suppose -5 = -5*d + 2*p + 7, v = -d + p. Factor 0*m**d - 4/9*m**3 + 2/9*m**5 + 2/9*m + 0 + 0*m**2. 2*m*(m - 1)**2*(m + 1)**2/9 Let m be (25*1/90)/((-5)/(-51)). What is b in -2/3*b**2 - m*b - 2/3 = 0? -4, -1/4 Let x be (-2)/12*(-633)/422. Find t such that 1/2*t**3 + 0 - x*t**5 - 1/4*t**4 + 0*t + 0*t**2 = 0. -2, 0, 1 Let y(s) be the third derivative of 0 - 10*s**2 + 3/8*s**4 + 1/20*s**5 + s**3 + 0*s. Factor y(k). 3*(k + 1)*(k + 2) Suppose -51*t + 230 - 29 - 99 = 0. Solve 4/7 + 12/7*d**t + 26/7*d = 0. -2, -1/6 Let u(n) be the first derivative of -2*n**5/5 + n**4/2 + 4*n**3/3 - 87. Factor u(g). -2*g**2*(g - 2)*(g + 1) Let u(t) be the first derivative of t**4/4 - t**3 - 2*t**2 + 84. Factor u(s). s*(s - 4)*(s + 1) Let s(r) be the second derivative of -1/70*r**5 + 0 + 1/3*r**3 - 1/21*r**4 - 21*r - 4/7*r**2. Determine w, given that s(w) = 0. -4, 1 Let l = -46 - -44. Let u be ((-4)/70)/(l/14). Factor -8/5*p + u*p**2 + 6/5. 2*(p - 3)*(p - 1)/5 Let i(h) be the second derivative of -h**7/39 + 12*h**6/65 - 27*h**5/65 + 14*h**4/39 - h**3/13 + 3*h - 5. Solve i(g) = 0. 0, 1/7, 1, 3 Let n(m) be the second derivative of -m**7/2940 + m**5/420 - 2*m**3 - 4*m. Let a(u) be the second derivative of n(u). Suppose a(z) = 0. Calculate z. -1, 0, 1 Let y = 17 - 10. Let d = 137 + -134. Factor 4*o + 0 - y*o + o**d + 2. (o - 1)**2*(o + 2) Suppose -638*q = -419*q. Find r such that -3*r**2 + 9/2*r**3 + 0*r + 12*r**4 + q + 9/2*r**5 = 0. -2, -1, 0, 1/3 Let a be 1*(-8)/6 - (-440)/132. Let 2/11*l - 2/11*l**a + 2/11 - 2/11*l**3 = 0. What is l? -1, 1 Let x(r) = -r**2 + 4*r + 15. Let t be x(6). Factor 11*c**3 - 4*c**4 - 5*c**t + 5*c**3 + 20*c**2 + 5*c**3. -4*c**2*(c - 5)*(c + 1) Let w(p) be the first derivative of -p**6/216 - p**5/45 - p**4/24 - p**3/27 + 3*p**2/2 - 11. Let a(x) be the second derivative of w(x). Factor a(v). -(v + 1)**2*(5*v + 2)/9 Let r be (-310)/(-78) + 37/1443. Find i, given that 13/7*i**3 + 0 + 4/7*i**2 - 4/7*i + 5/7*i**r = 0. -2, -1, 0, 2/5 Let h(s) be the third derivative of -s**7/1260 + s**6/240 + s**5/120 - 11*s**4/144 + s**3/6 - 675*s**2. Factor h(q). -(q - 3)*(q - 1)**2*(q + 2)/6 Let y = 1762 + -12332/7. Factor 2/7*h - 2/7 - y*h**3 + 2/7*h**2. -2*(h - 1)**2*(h + 1)/7 Factor -26*y**3 + 0 + 30*y**2 + 0*y + 22/3*y**4 - 2/3*y**5. -2*y**2*(y - 5)*(y - 3)**2/3 Factor 226/5*f - 2/5*f**2 + 0. -2*f*(f - 113)/5 Let w(z) = 55*z**4 + 62*z**3 + 13*z**2 + 3. Let q(h) = 440*h**4 + 495*h**3 + 105*h**2 + 25. Let i(b) = 3*q(b) - 25*w(b). Let i(x) = 0. Calculate x. -1, -2/11, 0 Solve -256*i**4 - 64*i + 80*i**5 + 16 - 52*i**4 - 60*i**2 + 211*i**3 - 174*i**3 + 307*i**3 - 8*i**2 = 0 for i. -2/5, 1/4, 1, 2 Let y(r) be the second derivative of 1/10*r**5 + 0 + 22*r + 0*r**2 + 0*r**3 + 0*r**4. Factor y(n). 2*n**3 Let j(g) be the third derivative of g**5/28 + g**4/28 - 3*g**3/14 - 6*g**2. Suppose j(f) = 0. Calculate f. -1, 3/5 Let x(k) = k**3 - 14*k**2 - 15*k. Let w be x(15). Let b be -4 - w - -1 - -3. Factor 2/7*i**2 - 2/7 + b*i. 2*(i - 1)*(i + 1)/7 Let w = -225 + 225. Factor 0*y**3 + w*y - 2/3*y**2 + 0 + 2/3*y**4. 2*y**2*(y - 1)*(y + 1)/3 Let h(g) be the third derivative of -g**7/945 + g**6/108 - 4*g**5/135 + g**4/27 - 72*g**2. Suppose h(i) = 0. What is i? 0, 1, 2 Suppose -4*b - 14 = -2*w, 5*b + 25 = -10*w + 15*w. Factor 1/2*s**2 + 1/6*s**w + 0 + 0*s. s**2*(s + 3)/6 Let u = 125 - 65. Let q be (-28)/10*(-50)/u. Factor -5*v + 3 + q*v**2 - 1/3*v**3. -(v - 3)**2*(v - 1)/3 Suppose -28*x = -80*x + 48 + 56. Factor 2/13*h**x + 16/13 + 12/13*h. 2*(h + 2)*(h + 4)/13 Let l(h) = -h**3 + 21*h**2 - 54*h + 4. Let z be l(18). Suppose -c + 3 = -0. Factor 0 - 2/5*j**z + 0*j + 0*j**c + 2/5*j**2. -2*j**2*(j - 1)*(j + 1)/5 Let t(r) be the first derivative of -20 + 1/4*r**2 - 1/18*r**3 + 2/3*r. Factor t(k). -(k - 4)*(k + 1)/6 Let l = -13087 + 13087. Factor 2/5*y**2 + 1/5*y**3 - 1/5*y**4 + 0*y + l. -y**2*(y - 2)*(y + 1)/5 Suppose -2*l + 10 = 0, m - 28 = -0*m - 5*l. Determine c so that 9*c**4 + m*c**4 + c**5 + 3*c**5 + c**3 + 4*c**2 + 11*c**3 = 0. -1, 0 Factor 260*j + 0*j**2 - j**2 - 3*j**2 - 3380 - j**2. -5*(j - 26)**2 Let g(r) = -4*r**2 - 16*r + 2. Let i be g(-4). Let v(u) be the first derivative of 0*u + 0*u**2 - 21/10*u**5 + i*u**3 - 3*u**4 + 5/4*u**6 + 3. Solve v(a) = 0. -1, 0, 2/5, 2 Let q(y) = 3*y**2 + 6*y. Let x be 22 + 1 - 4/2. Let t = x + -34. Let m(z) = 7*z**2 + 13*z. Let s(j) = t*q(j) + 6*m(j). Factor s(a). 3*a**2 Let a(h) be the third derivative of -15/2*h**3 + 0*h - 5/4*h**4 + 4*h**2 + 0 - 1/12*h**5. Factor a(w). -5*(w + 3)**2 Suppose -3*v - 2*d + 20 = 0, 5*v + 130*d - 3 = 131*d. Determine s, given that -2/17*s**v + 0 + 4/17*s = 0. 0, 2 Let u(v) be the third derivative of -v**5/180 + v**4 - 72*v**3 - 3*v**2 - v. Determine q so that u(q) = 0. 36 Let x(y) be the third derivative of y**6/60 - y**5/120 - y**4/3 + y**3/3 + 79*y**2 + 2*y. Solve x(n) = 0 for n. -2, 1/4, 2 Let m(w) = 3*w**2 - 55*w - 17. Let x be m(19). Let u be (108/x - (-4)/14)*1. Find l, given that u*l**3 + 2*l**4 + 8/7 + 32/7*l + 2/7*l**5 + 50/7*l**2 = 0. -2, -1 Factor -54*o**3 - 3*o**4 + 45*o**2 - 12*o**4 - 76*o**3. -5
{ "pile_set_name": "DM Mathematics" }
+ 0 + m) - 2*m**2 - m**2 + 5*m**2). 27*m**3 Expand (-2 - 4*j**2 + 2)*(2 + 3*j + 0 - 1)*(-1 - 1 + 0). 24*j**3 + 8*j**2 Expand -461*l - 73*l**3 + 461*l + (3*l**2 + l**2 - 5*l**2)*(1 - l - 1). -72*l**3 Expand (2 - 4 + 0)*(2*g**3 + 1 - 1)*(4*g**2 + g**2 + g**2). -24*g**5 Expand (6*x + 2*x + 0*x)*(3*x**2 + 2*x**2 - 4*x**2) + (1 - 3 + 1)*(-2*x**3 + 4*x**3 - x**3). 7*x**3 Expand (2*o**2 - 2*o**2 + 2*o**3)*(-2 - 18*o + 18*o + 2*o**2). 4*o**5 - 4*o**3 Expand (3 - 1 + 2*v**3 - 3)*(-3 + 5 + 1). 6*v**3 - 3 Expand (2 - 2 - l**2)*(l + 2*l - 4*l) + 2*l**3 + 2*l**3 - 2*l**3 + (7*l + 0*l + 16*l)*(-3*l**2 + 3*l**2 - l**2). -20*l**3 Expand (-4 - 5 + 4)*(0 - 2 + 1)*(5 - 2 - 4)*(-2*n**4 + 3*n**4 - 2*n**4). 5*n**4 Expand (2 - 6 + 3)*(2*z**2 + 6*z**2 + 3*z**2)*(2*z + 2*z - 5*z) - 2*z**2 - 6 + z**3 + 6. 12*z**3 - 2*z**2 Expand (2*l**2 + 3*l**2 - 6*l**2 - 2*l + 3)*(0*l**3 + l**3 - 2*l**3). l**5 + 2*l**4 - 3*l**3 Expand (1 + 0 - 2)*(0 - 15 + 2)*(r**2 - 3 + 3). 13*r**2 Expand (2*c + 3*c - 4*c)*(-15 - 5*c + 2*c + 17 + 4*c - 4*c - c + (-6 + 2 + 2)*(4*c - 6*c + 3*c) + 0 + c + 0). -5*c**2 + 2*c Expand (-3 + 5 + 0 - 1 - 3 + 2 + (2 - 1 + 0)*(0 + 1 - 3) + 0 - 5 + 4 + 6 - 11 - 9)*(2*v - v - 2*v). 17*v Expand (4*m**3 + 3*m**3 - 5*m**3)*(352 - 66 - 138). 296*m**3 Expand (-2 + 2 - 4*j)*(4*j**2 - 2 + 2). -16*j**3 Expand (-15*n**2 - 7*n**2 + 4*n**2)*(2 + n**2 - 2). -18*n**4 Expand (3*p**2 - 3*p**2 + 2*p**2)*(4 - 3*p - 4) + 3*p - 3*p + 2*p**3. -4*p**3 Expand (h + 3*h - 3*h)*((0*h + 0*h + 2*h)*(h**2 - 4*h**2 + 0*h**2) + (h - 2*h + 2*h)*(5*h - 5*h - 2*h**2)). -8*h**4 Expand (3*r - 2 + 1 - 2)*(0*r + r**2 + 0*r). 3*r**3 - 3*r**2 Expand r**3 - r**3 + 2*r**4 + (-3*r**3 + r**3 - 2*r**3)*(-3*r + 0*r + r). 10*r**4 Expand (2*a - 4*a + 4*a)*(19*a**2 - 8*a**2 - 2*a**2 + (-3 - 2*a + 3)*(1 + a - 1)). 14*a**3 Expand (-9 - 6 + 28 + 82)*(-2*y - 1 + 1). -190*y Expand (-2 + 2 + 1)*(2*g**4 - 3*g**2 + g**4 - 2*g**4). g**4 - 3*g**2 Expand (-q + 0*q - 2*q)*(6 + 0 - 3)*(-q**4 - q**2 + q**2). 9*q**5 Expand -2*i - 2*i**3 + 2*i + (30*i + 6*i**2 - 30*i)*(2*i - 4*i + 4*i) + (-5 + 2 + 1)*(i**3 - 2*i**3 + 3*i**3). 6*i**3 Expand (-2 + 0 + 3)*(2*u**3 - 2*u**3 + u**3)*(-u**2 + 3 - 3). -u**5 Expand (3 - 2 - 2)*(-2*x - 2*x + 3*x) - 5 - x + 3*x + 10. 3*x + 5 Expand (148*y - 110*y - 85*y)*((-1 + 1 + y**2)*(y - 2*y + 3*y) + 4*y**2 - 4*y**2 - y**3). -47*y**4 Expand -2*o**4 + 2*o**5 + 2*o**4 - 4*o**5 + 5*o**5 - 2*o**5 + (-2 + 3 - 3)*(-o**5 - 2 + 2) + 0*o**5 + 0*o**5 + o**5 + 0*o + 0*o - o**5 + o**5 + 0*o**5 + o**5. 5*o**5 Expand (-n**3 + 4 - 4)*(12*n**2 - 28*n**2 + 9 + 13*n**2). 3*n**5 - 9*n**3 Expand (-1 - 6 + 3)*(3*x + 3 - 3)*(3 - 4 - 1). 24*x Expand (1 - 2*z**3 - 1)*(z**2 - 5*z**2 + 2*z**2) + (-z**2 + 3*z**2 + 0*z**2)*(5*z**2 - 5*z**2 + 2*z**3) - 2*z**5 - 4*z**5 + 3*z**5. 5*z**5 Expand (0 + 2 - 1)*(2 - 5 + 2)*(-15*s - 23 - 23 + 48). 15*s - 2 Expand (-b + 20*b - 7*b)*(4*b**3 - 6*b**3 + 4*b**3) - 3*b**4 + 2*b**4 + 0*b**4. 23*b**4 Expand (2*l - l + l)*(0 - 2 + 0)*(-3*l - 4*l + 4*l + 3). 12*l**2 - 12*l Expand -15*i**5 + 17*i**5 - 14*i**5 + (i + i**2 - i)*(4*i**3 - i**3 - 2*i**3). -11*i**5 Expand (3 + 0 - 5)*(-2*q**3 - 1093 + 1093). 4*q**3 Expand (0*r + r - 3*r - 3*r + r + r + (4 - 1 - 1)*(3*r + 2*r - 4*r))*(25*r**4 + 18*r**4 + 2*r**4). -45*r**5 Expand (-i + 0*i - i)*(-4 + 4 + 5*i) + i**2 + 0*i + 0*i + (-2*i - 3*i + 3*i)*(-i + 0*i + 0*i). -7*i**2 Expand (-2*l - l**2 + 2*l)*(5 - 1 - 5)*(-14 - 2 + 2). -14*l**2 Expand ((-5 + 4 + 2)*(-t - 1 + 1) - 3 + 3 - 2*t)*(386 - 386 - 29*t**4). 87*t**5 Expand (-3*i**2 + 7*i**2 - i**2)*(4*i - 4*i + 2*i) + (-1 + 1 - i**2)*(-2*i - i + 2*i). 7*i**3 Expand (2*r + r - 6*r + 3 - 3 - r + (-2 - 2 + 3)*(r + r + 0*r) - 1 - 2*r + 1)*(3*r - 2*r + r). -16*r**2 Expand (0 + 0 - 2*n**3)*(5*n**2 - 5*n**2 - 2*n**2) + 0*n**5 - 3*n**5 + 2*n**5 - 2*n**5 + n**4 - n**4. n**5 Expand (2*h - 2*h + 2*h)*(2 + 2 - 2)*(0*h**4 - h**2 + h**4 - 9*h**4). -32*h**5 - 4*h**3 Expand (-q - 3 + 3)*(-24 + 24 + 2*q)*(-2*q**2 + 0*q**2 - q**2). 6*q**4 Expand (1 - 1 - q**3)*(-1 + 5*q - 4*q + q) + (q**3 - 2*q**3 - q**3)*(-q + 0*q + 2*q). -4*q**4 + q**3 Expand 0*r**5 + 2*r**5 - r**5 + (r - 2*r + 2*r)*(-r**4 + 3*r**4 - r**4) + 7*r**5 + 5*r**5 - 15*r**5 - 11. -r**5 - 11 Expand -2*f + f**3 + 2*f + (-4*f**2 - 2*f**2 + 4*f**2)*(7*f - 2*f - 3*f) + (-4*f**2 + 2*f**2 + 4*f**2)*(3*f + f - 6*f) + (-15 + 17*f**2 + 15)*(0*f + 5*f - 3*f). 27*f**3 Expand (-2 + 5 - 2)*(2 + 0 - 4)*(4*t**3 + 4*t**3 - 3*t**3)*(0*t + 0*t - t**2). 10*t**5 Expand (h**2 + 0 + 0)*(-h + 4*h + 3*h) + 2*h**3 - 2*h + 2*h + 6*h - 6*h + 5*h**3 + (0 + 0 + 2*h)*(3*h**2 - 5*h**2 + 4*h**2). 17*h**3 Expand (0*d**2 + 4*d**2 - 3*d**2)*(3 + d**2 - 3) + (0 + 0 + 3*d)*(3*d**2 - 3*d**2 + 4*d**3). 13*d**4 Expand (-6*l + 4*l**2 + 6*l)*(-3 + 3 - 2*l). -8*l**3 Expand j - j + j + (-1 + 2 + 1)*(-3 + 3 - 2*j). -3*j Expand (-v - v + v)*(-5*v - v + 4*v) - 7*v**2 + 10*v**2 - 12*v**2 - 4*v**2 + 0*v**2 + 2*v**2 - 3*v**2 + 4*v**2 - 2*v**2 + (v - 3*v + v)*(2 + 2*v - 2). -12*v**2 Expand (-2 + 2 + 2)*(-3 - 3 + 2)*(2*m**2 - 3*m**2 + 13*m**2). -96*m**2 Expand 11*m**3 + 7*m - 5*m + 8*m**3 + (-2*m**2 + 0*m + 0*m)*(0 + 0 - 2*m) + 0*m**3 - 3*m**3 + 2*m**3. 22*m**3 + 2*m Expand (7 - 5 + 2)*(j - 2*j + 2*j). 4*j Expand (5*l - 6*l + 0*l)*(-2*l - 3 + 3) + 2*l**2 + l - l + 3*l**2 - 2*l**2 + l**2 + (l + 0*l + 0*l)*(-l + l - 5*l). l**2 Expand 0*t + t - 2*t + 3*t - 2*t - 2*t + (3 - 3 - 1)*(4*t + 3*t - 6*t). -3*t Expand -3*s + 3*s - s**2 + (-5 + 3 + 0)*(6*s**2 + 5*s**2 + 0*s**2) - 2*s**2 + 2*s**2 - 2*s**2 + (s + 7*s - 3*s)*(-4*s - s + 4*s). -30*s**2 Expand (8 - 3*l**2 - 8)*(l - 4*l + l) - 5*l - l**3 + 5*l. 5*l**3 Expand (3*c + 2*c - 3*c)*(2 - 2 - 1) - 1 + 1 - 2*c + (-1 + 1 + 1)*(-1 + 2*c + 1) + c - c + c - 4*c + c + 5*c. c Expand (0*h**3 - 3*h**3 - 4*h**3)*(0*h**2 + 3*h**2 - h**2). -14*h**5 Expand 2*w**5 + 4*w**5 - 4*w**5 - 9*w**5 + 5*w**5 - 8*w**5 + (-1 - 3 + 3)*(-w**5 + 0*w + 0*w) + w**3 + 2*w**5 - w**3. -7*w**5 Expand 0*z - 2*z**2 + 0*z + (2*z - 3*z - z)*(4*z + 2*z - z). -12*z**2 Expand (w**2 - w**2 + 3*w**2)*(3 - 4 + 0) + w**2 - 2*w**2 - w**2. -5*w**2 Expand 10*n**5 + 76*n**3 - 76*n**3 + (-2 + 0 + 3)*(-n**3 + n**3 + n**5). 11*n**5 Expand -2*n**3 + 2*n**3 + n**5 + (2*n**3 + 2*n**3 - 6*n**3)*(0*n**2 - 2*n**2 + n**2). 3*n**5 Expand -2*h**2 + 3*h**2 - 3*h**2 + (-h + 2*h + h)*(-2 + 2 + h) + 0*h**2 - h**2 + 3*h**2. 2*h**2 Expand 5*x**2 - 5*x**2 - x**4 + (x**2 - 5*x**2 + 2*x**2)*(2*x**2 - 4*x**2 - 2*x**2) + (x**4 + 1 - 1)*(-3 + 6 - 2) + 2*x**4 + x**4 - 5*x**4 + 3*x**4 - x + x. 9*x**4 Expand (2*z - 2*z - 2*z)*(-14*z + 101*z**2 - 3*z**4 - 101*z**2). 6*z**5 + 28*z**2 Expand ((-2 - 2 + 5)*(0 + 0 + r) + 3 - 3 - 2*r)*(-4*r + 5 - 5). 4*r**2 Expand (-5*x**4 + 2*x**4 + 13*x**4)*(x + 3*x - 2*x + 1). 20*x**5 + 10*x**4 Expand (-3 + 2*q**2 + 3)*(25*q**2 + 25 - 25) + 0*q**4 + 0*q**4 - q**4. 49*q**4 Expand ((y + 2*y - 2*y)*(7 - 4 - 2) - y + 0*y + 3*y)*(0*y**3 - 9*y**3 - y**3 - 2*y). -30*y**4 - 6*y**2 Expand (5*u - 4*u + u)*(-5 - 3 + 6 + (-3 - 1 + 6)*(0 + 1 + 2) - 2 + 4 + 0). 12*u Expand 2*c**2 - 4*c**2 + c**2 + 0 + c**2 + 0 + (2*c**2 - 1 + 1)*(5 - 2 - 1) + 4*c**2 - 4*c**2 + c**2 - 60 + 4*c**2 + 60. 9*c**2 Expand (-2*d + d - 2*d)*(2*d**2 + 4*d**2 - 7*d**2)*(-3*d**2 + 2*d**2 - 2*d**2). -9*d**5 Expand (8*g**3 + 7*g**2 - 7*g**2)*(0 + 0 - 1 + (4 + 0 - 2)*(1 - 3 + 1) - 3 + 3 + 1 - 3 + 0 + 4)*(-3*g + 2*g + 2*g). -8*g**4 Expand (-8 - 4 + 3)*(-3*p + 3*p + p). -9*p Expand (-2 + 7 - 4)*(16*t**2 - 4*t**2 - 2*t**2)*(-2*t**3 + 1 - 1). -20*t**5 Expand (0*t + t + 2*t - 1 + 1 - 3*t + 4*t + 0*t - 2*t + (0*t - t - t)*(0 + 0 + 2))*(1 + 3 - 2). -4*t Expand (-4*o**2 + 4 - 4)*(6 - 1 - 6 - o). 4*o**3 + 4*o**2 Expand ((0 - 2*d**2 + 0)*(5 + 0 - 4) + 10*d**2 - 9*d**2 - 3*d**2)*(d + 2*d + 2*d). -20*d**3 Expand (z - z - 7*z)*(3*z + 1 - 2*z - 3*z). 14*z**2 - 7*z Expand (-y**4 + 2*y**4 + 0*y**4)*(-3 + 3 + y + (-6*y + 4*y + 0*y)*(6 + 20 + 0)). -51*y**5 Expand (0*c - 4*c + 2*c)*(-4 + 4*c + 4)*(2*c - 8*c + c). 40*c**3 Expand (-7 - 1 + 2)*(-2*o + 3*o + 0*o)*(-1 - 3 + 2). 12*o Expand -4*t - 2*t + 5*t + (-13 - 2 + 6)*(2*t - 2 + 2). -19*t Expand (-3*r**2 + 3*r**2 - 2*r**3)*(-r - 3 + 3) - 2*r**4 - 11*r**4 - r**4 + (-2*r**2 + 0 + 0)*(-r + 2*r**2 + r). -16*r**4 Expand (3 - 4 + 3)*(-1 + 3 - 1)*(0*b**3 - 21*b**3 + 4*b**3). -34*b**3 Expand (-2 + 2 + 2)*(12 - 6*z - 12) + 0*z + z - 2
{ "pile_set_name": "DM Mathematics" }
+ 14*w**3 - 10*w**3 + 2*w. -3*w**3 + 2*w Collect the terms in 1277*r + 15*r**2 - 1277*r. 15*r**2 Collect the terms in n - 4*n + 3*n - 3*n. -3*n Collect the terms in 44*a**2 + 50*a**2 - 137*a**2 + 42*a**2. -a**2 Collect the terms in -237*i**3 + 333*i**3 - 95*i**3. i**3 Collect the terms in -11*g**3 + 4*g**3 - 4*g**3 - 7*g**3. -18*g**3 Collect the terms in -8 - 2 + 10 + 3*r**3. 3*r**3 Collect the terms in 81*g**2 - 14*g**2 - 69*g**2. -2*g**2 Collect the terms in 67*w - 36*w - 35*w. -4*w Collect the terms in 1439*a**2 + 1439*a**2 - 2872*a**2. 6*a**2 Collect the terms in 250*i**3 + 248*i**3 - 516*i**3. -18*i**3 Collect the terms in 14*a**2 + 1209*a - 2417*a + 1208*a. 14*a**2 Collect the terms in -3 + 2*b - 8 - 2. 2*b - 13 Collect the terms in 425*q + 3*q**2 - 425*q. 3*q**2 Collect the terms in -7*m**2 + 6*m**2 + 2*m**2 + 8*m**2. 9*m**2 Collect the terms in 3 - 5*m + 2*m - 1 - 7*m - 10*m. -20*m + 2 Collect the terms in 10*h**2 + 39*h - 73*h + 34*h. 10*h**2 Collect the terms in 4*l**2 - 4*l**2 - 10*l + 89*l - 2*l**3. -2*l**3 + 79*l Collect the terms in -10627 - q**2 + 10627. -q**2 Collect the terms in -83*r**3 - 58*r**3 + 27*r**3. -114*r**3 Collect the terms in 9 - 3*w + w + 21 - 30. -2*w Collect the terms in 132*q**3 - 141*q**3 + q**2 - q**2. -9*q**3 Collect the terms in 7*l**2 - 17*l**2 + 13*l**2. 3*l**2 Collect the terms in 25*q**3 + 19*q**3 - 39*q**3. 5*q**3 Collect the terms in 2784 + 124*b - 2784. 124*b Collect the terms in 861*x**3 + 857*x**3 - 1714*x**3 - x + x. 4*x**3 Collect the terms in 3988*s**3 - 2001*s**3 - 2000*s**3. -13*s**3 Collect the terms in 18*n**3 + n + 7*n**3 + 14*n**3 + 12*n**3. 51*n**3 + n Collect the terms in 10123*p - 10123*p - p**2. -p**2 Collect the terms in -273*b**2 - 7 + 274*b**2 + 7. b**2 Collect the terms in 3*m + 49*m**2 - 46*m**2 - 3*m. 3*m**2 Collect the terms in -80 - 75 + 155 + 2*n**3. 2*n**3 Collect the terms in -9*x + 2 - 2 + x. -8*x Collect the terms in 6 - 3*j + 8 - j. -4*j + 14 Collect the terms in 72*x**3 + 76*x**3 - 145*x**3. 3*x**3 Collect the terms in 12*h - 2*h + 3*h. 13*h Collect the terms in 16*c + 144*c - 1115 + 1113. 160*c - 2 Collect the terms in 10*l + 13*l - 3*l + 9*l. 29*l Collect the terms in -572*q**3 + 286*q**3 + 281*q**3. -5*q**3 Collect the terms in 0*z + 7*z + 2*z. 9*z Collect the terms in 2*p**2 - 42942*p + 42942*p. 2*p**2 Collect the terms in -81*c**3 + 60*c**3 - 122*c**3. -143*c**3 Collect the terms in 4*g - 18*g - 2*g + 7*g. -9*g Collect the terms in 365*w + 0 - 363*w - 1 + 1. 2*w Collect the terms in -4*k - 128*k**3 - 158*k**3 + 14*k. -286*k**3 + 10*k Collect the terms in -1595*m + 3 - 2 + 1. -1595*m + 2 Collect the terms in 17*i - 7*i - i - 6*i. 3*i Collect the terms in -53*z**3 - 44*z**3 + 99*z**3. 2*z**3 Collect the terms in 2 - 6 + 4 - 5*n**2. -5*n**2 Collect the terms in -62*f**3 + 28*f**3 - 2*f**2 + 37*f**3 + 2*f**2. 3*f**3 Collect the terms in 1 - 1 - 81*u**2 - 6*u + 71*u**2. -10*u**2 - 6*u Collect the terms in 43*x**2 - 2*x**3 - 3*x**3 + 11*x**2 - 54*x**2. -5*x**3 Collect the terms in 0*l**3 - 2*l**3 + 5*l**2 - 2*l**3. -4*l**3 + 5*l**2 Collect the terms in -5*w**3 + 14*w**3 + 4*w**3. 13*w**3 Collect the terms in 186 - 2*q - 186. -2*q Collect the terms in -21*y**3 - 2*y**3 + 15*y**3 + 12*y**3. 4*y**3 Collect the terms in 5 + 58*i - 5 - 46*i. 12*i Collect the terms in 126*n - 126*n + 15*n**3 - 18*n**3. -3*n**3 Collect the terms in -956*s + 956*s + 5*s**3. 5*s**3 Collect the terms in 6837 + f**3 - 6837. f**3 Collect the terms in 1147*x**2 + 1149*x**2 - 3451*x**2 + 1150*x**2. -5*x**2 Collect the terms in 23*p**2 + p**2 - 14*p**2. 10*p**2 Collect the terms in 5*f**2 + 5 + 8*f**2 - 2*f**2. 11*f**2 + 5 Collect the terms in 644*d**3 - 1294*d**3 + 646*d**3. -4*d**3 Collect the terms in 13*j + 1 + 12 + 7 + 1. 13*j + 21 Collect the terms in 498*a - 5*a**3 - 166*a - 163*a - 169*a. -5*a**3 Collect the terms in 15*w**2 + 19*w**2 - 38*w**2. -4*w**2 Collect the terms in -36*k**2 + k**3 + 3*k**3 - 3*k**3 + 36*k**2. k**3 Collect the terms in -16*h**3 + 22*h**3 - 5*h**3. h**3 Collect the terms in -2 - 12*z**3 - 67*z**3 - 14*z**3. -93*z**3 - 2 Collect the terms in -32*d + 15*d + 18*d. d Collect the terms in -199*y**2 - 200*y**2 + 397*y**2. -2*y**2 Collect the terms in -9 + 8 + 1 + h**2 + 0*h**2. h**2 Collect the terms in -5 - 100*r - 5 + 12. -100*r + 2 Collect the terms in -52*b**3 - 101*b**3 + 0*b**3. -153*b**3 Collect the terms in 4*m - 15*m + m - 8*m. -18*m Collect the terms in -1422 + 1422 + 2*c**2. 2*c**2 Collect the terms in 165*x - 322*x + 159*x. 2*x Collect the terms in -24*l**3 - l + l + 99*l**3. 75*l**3 Collect the terms in -216*o + 12*o**3 + 216*o. 12*o**3 Collect the terms in 8*a - 67*a**2 - 8*a. -67*a**2 Collect the terms in -q + 8*q - 2*q - 12*q + 3*q. -4*q Collect the terms in -44*w**2 + 44*w**2 - 5*w**3. -5*w**3 Collect the terms in 6*n**2 + 0*n**2 + 8*n**2 - 3*n**2. 11*n**2 Collect the terms in -2*q + 6*q + 3*q + 4*q. 11*q Collect the terms in 532*r - 138*r - 136*r - 131*r - 129*r. -2*r Collect the terms in 7 - 7*v - 7 + 2. -7*v + 2 Collect the terms in -15 + 22*f**3 - 21*f**3 + 2 + 13. f**3 Collect the terms in -101*q**2 - 3*q + 52*q**2 + 2*q. -49*q**2 - q Collect the terms in -25*b + 37*b + 45*b + 4 - 2. 57*b + 2 Collect the terms in -2*w + 2*w + 139*w**2. 139*w**2 Collect the terms in 8*k**2 - 3*k**2 + 4*k**3 + 9*k**3. 13*k**3 + 5*k**2 Collect the terms in -12 - a + 8 - 7 + 11. -a Collect the terms in 1858*m**3 - 1859*m**3 - 5 + 5. -m**3 Collect the terms in -10*z**2 + 3*z**2 + 420*z - 420*z. -7*z**2 Collect the terms in -1 - 91*f + 1 + 15*f. -76*f Collect the terms in 3 + 16*m + 36*m - 4 + 26*m. 78*m - 1 Collect the terms in -414 + 414 + x. x Collect the terms in -11*x + 10972 - 10972 + 10*x. -x Collect the terms in 12*i**2 - 39*i**2 + 62*i**2 + 0 + 0. 35*i**2 Collect the terms in 2*v**2 + 0*v**2 + 2*v**2. 4*v**2 Collect the terms in j**2 - j**2 - 4*j**3 + 3*j**3. -j**3 Collect the terms in 2*i**2 - 2*i**2 - 5358*i**3 + 5361*i**3. 3*i**3 Collect the terms in 0*c**2 - 10*c**2 - 38*c**2 - 9*c**2. -57*c**2 Collect the terms in -26*r**2 - 29*r**2 + 56*r**2. r**2 Collect the terms in 104 - 51 - y - 53. -y Collect the terms in v - 43083 + 43083. v Collect the terms in -43*p**3 - 18*p**3 + 14*p**3. -47*p**3 Collect the terms in -537 + 537 - 2*o**2. -2*o**2 Collect the terms in 8*q**2 - 4*q**2 - q**2. 3*q**2 Collect the terms in -9*j + 11*j + 5*j**2 - 2*j. 5*j**2 Collect the terms in -8*g**2 + 23 - 1 - 22. -8*g**2 Collect the terms in 3*n + 2*n + 3*n - 10*n. -2*n Collect the terms in 3*p**2 + 9*p**2 + 6*p**2 - 22*p**2. -4*p**2 Collect the terms in 128*d**2 - 71*d**2 - 80*d**2. -23*d**2 Collect the terms in 12*p + 20*p - 39*p. -7*p Collect the terms in -13*x**3 - 18*x**3 - 15*x**2 + 34*x**3. 3*x**3 - 15*x**2 Collect the terms in -31*h + 64*h + 112*h - 15*h. 130*h Collect the terms in 17*h + 4 + 3*h + 16*h - 4*h. 32*h + 4 Collect the terms in 8*d - 12*d + 9 - 9. -4*d Collect the terms in 4*f + 2*f + 3*f - 6*f. 3*f Collect the terms in 13*t + 0*t + 23*t. 36*t Collect the terms in -551*v**3 + 285*v**3 + 262*v**3. -4*v**3 Collect the terms in -44*g**2 - 4 + 4. -44*g**2 Collect the terms in -8*r - 2*r + 13*r - 2*r. r Collect the terms in 184730*s + 0*s**3 + 2*s**3 - 184730*s. 2*s**3 Collect the terms in 16*m**3 + 82*m**3 + 87*m**3 - 184*m**3. m**3 Collect the terms in -l**2 + 26 + 41 - 36 + 34. -l**2 + 65 Collect the terms in 129*f - 73*f - 59*f. -3*f Collect the terms in 4*x + 3*x + 14*x**3 - 7*x. 14*x**3 Collect the terms in 377*k**2 + 5*k - k - 453*k**2 - 3*k. -76*k**2 + k Collect the terms in 2*q + 63*q**3 - 64*q**3 - 2*q. -q**3 Collect the terms in 12*a**2 - 21*a**2 + 14*a**2. 5*a**2 Collect the terms in -g**2 + 1019*g - 990*g + 5 - 5. -g**2 + 29*g Collect the terms in -2*d**3 - 9*d - 11*d + 23*d - 3*d. -2*d**3 Collect the terms in 2*b - 4*b - 5*b + b. -6*b Collect the terms in -1926*s**2 + 1926*s**2 - 27*s**3. -27*s**3 Collect the terms in -2*m - 2*m + 36 - 2*m. -6*m + 36 Collect the terms in -51*h**3 + 158*h**3 - 54*h**3 - 57*h**3. -4*h**3 Collect the terms in 20 + 17*w**2 - 7 - 13. 17*w**2 Collect the terms in -7*o**3 + 2 - 10*o**3 - 69*o + 69*o. -17*o**3 + 2 Collect the terms in 18*k**2 - 10*k**2 - 21*k**2 - 8*k**2. -21*k**2 Collect the terms in -a - 7*a + 5*a + 47 + a. -2*
{ "pile_set_name": "DM Mathematics" }
-2) - (-8944)/2064. Let k(m) = 15*m**3 - 8*m**3 - 6 - 6*m**3 + 2 - 5*m**2. Calculate k(h). -4 Let m(a) = -a**3 - 4*a**2 - 2*a + 2. Let j = -6876 + 6875. What is m(j)? 1 Let s(c) = c**3 - 10*c - 1. Let o be s(3). Let g(i) be the second derivative of i**4/12 + i**3/3 + 3*i**2/2 + 16*i + 1. Give g(o). 11 Let w = -61 + 73. Suppose 5*k = 5, -w*r = -9*r - 5*k + 14. Let d(f) = f**2 - 1. Let a(h) = -2*h**2 + 3*h + 1. Let i(b) = -a(b) - 4*d(b). What is i(r)? -6 Suppose 14*l - 10*l = 3*l + 4*l. Let a(d) = -d**2 - d - 61. Determine a(l). -61 Let z(n) = 3*n**2 + 50*n - 136. Let i be z(-19). Let d(t) = 12*t + 52. Determine d(i). 16 Let g(p) be the second derivative of p**3/6 - 17*p**2 - 4*p. Determine g(10). -24 Let v be -3 - 13/(-26)*4/(-1). Let j(m) = -7*m + 3. Let d(i) = 9*i - 3. Let l(u) = v*j(u) - 4*d(u). Calculate l(4). -7 Let u be (-2)/2 + (6 - -1). Let v(o) be the first derivative of -1/2*o**2 - 126 - o. What is v(u)? -7 Let w(o) = o**3 + 22*o**2 - 25*o - 35. Let j be w(-23). Let c(n) = -20*n + j + 7 + 3 - 22. What is c(1)? -21 Let k(b) = b. Let u(f) = 11*f**2 - 5*f. Let s(j) = -6*k(j) - u(j). Let x(v) = 29 + 0*v - 61 + 23 + v. Let o be x(8). Determine s(o). -10 Let x(w) = -w**2 + 2*w + 1. Let m be (-142)/(-2) + -1 + (-1 - -1). Let g = -67 + m. Let t be (-10 - -5) + g/1. Calculate x(t). -7 Let s = 9 + -7. Let n(m) = -2*m**s + 2 - 1 + 0*m**2 + m + 4*m**2. Let d be (-1)/1*(-1 - -2). Calculate n(d). 2 Let a(j) = -3*j - 1. Let i(n) = -8*n - 2. Let z(u) = -10*a(u) + 3*i(u). Suppose 0 = 301*l - 652 - 552. Give z(l). 28 Let l(m) be the first derivative of m**4/4 + 7*m**3/3 + 5*m**2/2 + 3*m - 2. Suppose -261*u - 1076 + 597 - 1087 = 0. Calculate l(u). 9 Let q be (-480)/(-540) - 38/(-18). Let w(u) = -15*u + 7. Determine w(q). -38 Let d(s) = s**3 + 3*s**2 - 5*s - 6. Let r be d(-3). Let w(a) = 11*a**2 - 12*a - 7. Let h(i) = -5*i**2 + 5*i + 3. Let y(m) = r*h(m) + 4*w(m). What is y(-2)? 1 Let p(r) = 2*r + 74 - 3*r - 20 + 50 - 2*r. What is p(39)? -13 Suppose -705 + 129 = -p - 17*p. Let c(x) = -x + 26. Give c(p). -6 Suppose 0*k + 24 = 4*k - 4*n, 5*n + 18 = 2*k. Let b(v) be the second derivative of -v**4/12 - v**3/3 - v**2 + 14*v + 3. What is b(k)? -26 Suppose 0*s + 20 = -2*t + 5*s, -t - 12 = -3*s. Let z be 4/(t + 3 + -2). Let c(x) = x - 3 - 3*x + x - z. Give c(5). -12 Let w be 32/6 + 4/(-3). Let j be ((-6)/w)/((-12)/32). Let o(f) = 8 + 4*f**2 + j*f - 3*f**2 - 7. Give o(-3). -2 Let r(h) be the second derivative of 3*h**5/20 - h**3/2 + h**2 - 32911*h. Suppose 0 = 4*s + w - 3, 0*s - 4*w = s + 18. Calculate r(s). 20 Suppose 48 = -4*h - p, 0 = p + 3 + 1. Let l(a) = 2*a**2 + 21*a - 6. Give l(h). 5 Let p(b) = -2*b**2 - 12*b - 13. Suppose 16*q + 236 = -43*q. Give p(q). 3 Let j(l) = -6*l**2 + 13*l - 7. Let t(w) = 11*w**2 - 27*w + 14. Let p(o) = 5*j(o) + 3*t(o). Determine p(5). 2 Let v(d) be the first derivative of d**5/60 + 13*d**4/24 + 3*d**3 - 2*d**2 + 24. Let q(z) be the third derivative of v(z). Calculate q(-11). -9 Let w(p) be the second derivative of -p**4/12 + p**2/2 - 23*p. Let x(f) = 5*f - 13. Let g be x(2). Let l be 416/(-78) + ((-1)/g - -1). Give w(l). -15 Suppose 5*g + 9 = -6*v + 5*v, 0 = -2*v - 8. Let b be ((4/(g - -3))/2)/(-1). Let t(x) = 5*x - 1. Give t(b). -6 Let m = 262 + -252. Let v(u) = 4*u + 6*u - 8*u - 14. What is v(m)? 6 Let n(c) be the first derivative of 18*c - 1/2*c**2 - 29. Give n(12). 6 Let b be ((-247)/(-3458))/(2/70). Let j(i) be the first derivative of b*i**2 + i + 19. Give j(4). 21 Let c(b) = -10*b - 35. Let n(v) = 2*v + 6. Let h(j) = -c(j) - 6*n(j). Calculate h(4). -9 Let a(y) be the second derivative of 3/2*y**3 - 5/24*y**4 + 0*y**2 - 22*y + 0 - 1/120*y**5. Let p(o) be the second derivative of a(o). Calculate p(5). -10 Suppose 72 + 24 = 32*d. Suppose -150*z = -149*z + d. Let x(l) = -2*l + 2. What is x(z)? 8 Let w(k) = k**3 - 2*k**2 + 4*k - 5. Let c be w(2). Suppose -4*i = d - 18, -2*d + 8 = -2*i + c*i. Let j(m) = -34*m**d + 3 - 3 + 6*m + 33*m**2. Give j(5). 5 Let y = 423 - 733. Let w = -312 - y. Let s(k) = -k - 3. Determine s(w). -1 Let m(o) = -o**2 + 24*o - 136. Suppose 0 = -z - 408*z + 10087 - 3543. Calculate m(z). -8 Let r(m) = -3*m**2 + 79*m - 23. Let d be r(26). Let k(o) = -d - 5 - 2*o - 11*o**3 + 1 + 6 - o**2. Determine k(-1). 11 Let l(v) = v**2 - 29*v + 12. Let y be l(26). Let r be (-605)/y + -4 - 1/6. Let w(u) = -u**2 - 4*u + 6. Calculate w(r). -39 Let c(x) = x - 4. Let u = 56 - 44. Suppose q - 20 = -2*y, 0*q - 5*q - u = -4*y. Give c(y). 4 Let f = -2272 + 2275. Let d(s) be the second derivative of 0 - s**3 + 2*s**2 + f*s - 1/12*s**4. Determine d(-7). -3 Let t(d) be the second derivative of -1/20*d**5 + d - 57 + 9/2*d**2 + 2/3*d**4 + 2/3*d**3. Calculate t(8). 41 Suppose -4*r - 31 = 9. Let b be 2860/(-55)*(34/8 + -4). Let z = b - r. Let t(h) = -h**3 - 2*h**2 + 3*h + 4. Determine t(z). 4 Let w(a) = -a**3 - 2*a**2 + 2*a - 6. Let d(b) = -b**2 - 11*b + 1157. Let m be d(29). Determine w(m). -3 Let t(q) be the first derivative of q**3/3 - 13*q**2/2 - 31*q + 5008. Determine t(13). -31 Let z(f) = f**3 - 22*f**2 + 101*f - 2. Let l be z(6). Let g(t) = -3*t + 89. Give g(l). 5 Suppose -64*l + 14*l + 50 = 0. Suppose 4*i = -12, -3*x = -3*i + 1 - 19. Let c(o) = -2 + 4 - o - 1 + 13*o**x. What is c(l)? 13 Let x(f) = f**2 - 2*f - 2. Let s = 311 + -310. Let k be 9 - 0 - (s + 5). Give x(k). 1 Let d be -1 + (-248)/(-32) + 0 - 5/(-20). Let g(v) = v - 2. Let p(t) = 2*t - 4. Let c(q) = 5*g(q) - 2*p(q). Determine c(d). 5 Suppose 0 = 24*y - 50*y + 234. Let h(z) = -z**3 + 8*z**2 + 10*z + 9. Give h(y). 18 Let n(v) = -v**2 + 2*v - 7. Suppose 0 = -5*r - 28 + 78. Calculate n(r). -87 Let n = 8 - -3. Suppose -3*f + 3*m + 13 + n = 0, 2*f - m = 11. Let z(g) be the third derivative of -g**6/120 + g**5/20 - g**3/6 + 17*g**2 + 6*g. Determine z(f). -1 Let k(m) = m**2 - m. Suppose 60*r + 2766 = 54*r. Let q = r - -464. What is k(q)? 6 Let l be (60/(-50))/(9*(-8)/(-1440)). Let j(t) = -t**3 - 25*t**2 - 26*t - 40. Determine j(l). 8 Suppose 13*g + 2 = 14*g, 2*j + g = 162. Let k = -83 + j. Let h(n) = -2*n**2 - 5*n - 3. Give h(k). -6 Let f(g) = -g**2 + 6*g + 3. Suppose -9*a + 788 = -13*a. Let v = 204 + a. What is f(v)? -4 Let h(g) = -g**2 - 7*g - 8. Suppose 0 = -9*l + 5*l + 32. Suppose -i = y + l, -3*y = -2*i - y - 12. Determine h(i). -8 Let h(w) = w**3 + w**2 - w + 5. Let c be h(0). Let z be 5*c - 0 - (-3 - -6). Let l(u) = -u + 3*u**2 + z - 3*u**2 + u**3 - 21. Determine l(2). 7 Suppose 5*w - 4*i = 4*w - 2, i = -4*w + 43. Let d be 10 - (24/w - (-10)/(-25)). Let p(z) = -2*z - 3*z - d + 6*z. What is p(0)? -8 Let a(u) = -u**2 + 56*u - 59. Let y be a(55). Let q(r) be the second derivative of r**4/24 + r**2 + r. Let w(o) be the first derivative of q(o). Give w(y). -4 Suppose -f = l - 6 + 2, -f = -5*l - 10. Let c(h) = -2*h**3 + 4*h**2 - 6*h + f*h - 5 + 4*h**3 - 3*h**3. Give c(4). -9 Let n(g) = 16*g + 262. Let d be (-1269)/729*9 + 2/(-6). Determine n(d). 6 Let k(j) be the second derivative of 5/3*j**3 - 71*j + 0 + 0*j**2. Calculate k(1). 10 Let p(n) be the second derivative of 3*n**2 + 1/12*n**4 + 1/6*n**3 - 40*n + 0. Suppose 0 = -4*t + 3*t. Determine p(t). 6 Let a(j) = 4*j**3 - 3*j**2 + 2*j. Let h(k) = k**2 + 4*k + 6. Let b be h(0). Let f be (b + (-4 - -2))*2/4. Suppose 2 = 3*w - f*w. Give a(w). 24 Suppose -2*p + 0*p + 20 = 0. Let a(l) = 3*l + 158. Let o(v) = -7*v - 355. Let u(r) = 9*a(r) + 4*o(r). Give u(p). -8 Let i(x) = 6*x**2 - 11*x + 1. Let m(d) = -7*d**2 + 14*d - 1. Let h be (58/(-145) - (-6)/(-10))*5. Let a(p) = h*m(p) - 6*i(p). Determine a(-3). 2 Let a(j) = -15*j + 61. Let p(q) = 29*q + 4296. Let r be p(-148). What is a(r)? 1 Let w = 14 + -17. Let b(x) = x + 1. Let l(y) = 3*y - 5*y - y. Let a(i) = -3*b(i) + l(i). Determine a(w). 15 Let r(i) = -i - 7. Let j(s) = -23*s + 41*s - 19 + 13*s**2 - 28*s - s**3. Let f be j(12). Suppose -f*x - 11 = -2*g + 34, 2*g = 10. Give r(x). 0 Suppose 69*f + 57*f + 6 = 120*f. Let l(d) = -3*d - 1. Let o(x) = -2*x - 1. Let g(z) = 5*l(z) - 4*o(z). Calculate g(f). 6 Let i(s) be the third derivative of -s**5/30 - 3*s**4/2 - 55*s**3/3 + 1332*s**2. Calculate i(-14). 2 Let j be ((-52)/65)/(4/(-30)). Suppose f - 5*g + j = 0, -2 = 2*g - 0*g. Let a(u) = -2*u**2 - 23*u - 10. Calculate a(f). 1 Let k(x) = x**3 - x - 4. Suppose -12*o + 8*o + 3*w - 15 = 0, 3*o
{ "pile_set_name": "DM Mathematics" }
28*b + 527. Let p(r) = 31*r - 6. Give o*j(z) + 527*p(z). -31*z Let t(u) be the first derivative of -7*u**4/4 + 5*u**3/3 - 2*u + 254. Let i(g) = 11*g**3 - 4 + 7 - 8*g**2 + 0*g**2. What is 5*i(w) + 8*t(w)? -w**3 - 1 Let q(d) = 20*d - 33. Let b = -986 - -992. Let z(t) = 7*t - 11. Give b*q(p) - 17*z(p). p - 11 Let n(h) = -9*h - 241. Let a be n(-27). Let c(b) = -4 + 59*b**2 - 25*b**2 - 22*b**a - 18*b**2. Let r(m) = -5*m**2 - 3. Give -3*c(s) + 4*r(s). -2*s**2 Let u(x) = 79*x**2 - 11*x + 7. Let n(k) = 155*k**2 - 20*k + 13. What is 6*n(p) - 11*u(p)? 61*p**2 + p + 1 Let d be ((-722)/(-57) + -15)*69. Let f(o) = 26*o**2 + 3. Let r(y) = 1403*y**2 + 161. Determine d*f(c) + 3*r(c). 23*c**2 Let f(q) = 3*q + 4. Let g(a) be the first derivative of 63 + 5/2*a**2 + 8*a. Calculate -7*f(d) + 4*g(d). -d + 4 Let z(c) = -2*c**2 - 95*c - 497. Let j be z(-6). Let o(w) = w**2 + w - 1. Let d(f) = -6*f**3 + 4*f**2 + 4*f - 4. Determine j*d(u) - 4*o(u). -6*u**3 Let l(w) = -2*w**2 + 12*w + 5. Let c be l(0). Let d(v) = -2*v**2 + v - 1. Let a(t) = -4*t**2 + 3*t - 1. Determine c*d(r) - 3*a(r). 2*r**2 - 4*r - 2 Let x(r) = 6*r**3 - 10*r**2 + 57*r + 6. Let v(z) = 10*z**3 - 19*z**2 + 100*z + 11. Let i(l) = 4*v(l) - 7*x(l). Let t(c) = c**2 + 1. What is -i(n) - 6*t(n)? 2*n**3 - n - 8 Let q(h) = -h. Let x(p) = -4*p**2 - p - 5. Let u(z) = -3*z**2 - 4*z - 10. Let s(j) = u(j) - 2*x(j). Give 10*q(b) - 5*s(b). -25*b**2 Suppose 30*s = 42 - 12. Let q(p) = p**2 - p + 1. Let f(d) = -3*d**2 + 5*d - 6. What is s*f(x) + 5*q(x)? 2*x**2 - 1 Let q(p) be the third derivative of -p**6/15 - p**5/12 + p**4/4 + p**3/2 + 5473*p**2. Let d(w) = -23*w**3 - 14*w**2 + 17*w + 8. Calculate 3*d(j) - 8*q(j). -5*j**3 - 2*j**2 + 3*j Let v(u) = 2*u - 55. Let p(w) = -4*w - 343. Let o(k) = -9*k - 819. Let g(d) = 3*o(d) - 7*p(d). Calculate 4*g(a) - 3*v(a). -2*a - 59 Let m(n) = n + 1. Let x(h) = -h - 2. Suppose 1495*b - 174 = 1466*b. What is b*x(p) + 14*m(p)? 8*p + 2 Let c(m) = -6*m**3 - 60*m**2 - 3*m - 28. Let z(u) = 5*u**3 + 48*u**2 + 2*u + 28. Determine 4*c(v) + 5*z(v). v**3 - 2*v + 28 Let p(w) be the third derivative of w**4/4 - w**3/6 + 4*w**2 - 59. Let m(x) = -4*x + 0*x + 3*x - x. Give -7*m(d) - 2*p(d). 2*d + 2 Let c(n) = 6*n**3 - 6*n**2 + 22*n + 7. Let r(x) = 14*x**2 + 35*x - 40*x**2 - 28*x + 24*x**2 + 3*x**3 - x**3 + 2. Calculate -2*c(g) + 7*r(g). 2*g**3 - 2*g**2 + 5*g Let j(q) = -3*q**3 - q**2 - 35*q. Let t(r) = r**3 + r**2 - r. Give -j(f) + 2*t(f). 5*f**3 + 3*f**2 + 33*f Let u(o) = 5*o**2 + 12*o - 8. Let k be u(-3). Let x = -35 + 38. Let p(i) = x*i**3 + 116*i - 5*i**3 - 112*i + 8. Let y(m) = m + 1. Calculate k*p(c) - 5*y(c). -2*c**3 - c + 3 Let n(u) = 764279*u**2 - 2317*u + 4634. Let s(i) = 660*i**2 - 2*i + 4. Determine 4*n(r) - 4634*s(r). -1324*r**2 Let b(r) = 2*r**2 + 970*r. Let o(l) = 6*l**2 + 2901*l. Give 8*b(a) - 3*o(a). -2*a**2 - 943*a Let c(d) = 175*d + 7. Let t(f) = -338*f - 13. Determine -11*c(w) - 6*t(w). 103*w + 1 Let u(l) = -4*l + 3*l + 3*l + 1 - 4. Let i(p) = p - 1. Determine i(n) - u(n). -n + 2 Let g(r) = -11*r**3 + 3088*r**2 + 6*r + 12. Let b(p) = 9*p**3 - 3089*p**2 - 5*p - 10. Calculate 6*b(c) + 5*g(c). -c**3 - 3094*c**2 Let a(q) = 3*q + 2. Let k(z) = 24*z + z**2 - 82*z + 22*z + 19*z + 18*z. What is -a(o) + 4*k(o)? 4*o**2 + o - 2 Let i(g) = 84*g + 24. Let r be 38 - 36 - (-1 + 2 + 6). Let t(h) = -17*h - 5. Determine r*i(q) - 24*t(q). -12*q Suppose 0 = -243*q + 575 - 3005. Let t(c) = -c**2 + c. Let f(m) = -8*m**2 - 5*m. Calculate q*t(o) - 2*f(o). 26*o**2 Let r(d) be the third derivative of -d**4/12 - 3*d**3/2 + 475*d**2. Let l(m) = -m**3 - 1. Give -2*l(t) + r(t). 2*t**3 - 2*t - 7 Let h(t) = -t - 7. Let x(r) = -2. Let k(a) = -h(a) + 4*x(a). Let y(p) = -6*p + 1. Let s(o) = -19*o + 1. Let c(l) = 2*s(l) - 7*y(l). Calculate -2*c(v) + 9*k(v). v + 1 Let r(o) = -51*o**2 + 5*o - 5. Suppose 3*w - 12096 = 70*w + 41*w. Let k(y) = -1148*y**2 + 112*y - 112. Determine w*r(v) + 5*k(v). -28*v**2 Let q(s) = 8*s + 4. Let d(o) = o**2 + 6*o - 25. Let r be d(-9). Let c(m) = -4*m - 5. Let y(n) = -4*n - 6. Let f(t) = 4*c(t) - 3*y(t). Give r*q(p) + 5*f(p). -4*p - 2 Let i(z) = -595*z**2 - 625*z - 360. Let u(t) = -132*t**2 - 139*t - 81. What is -9*i(j) + 40*u(j)? 75*j**2 + 65*j Let b(s) = -6797*s**2 - 19*s + 13. Let j(i) = 2266*i**2 + 6*i - 4. What is -6*b(a) - 19*j(a)? -2272*a**2 - 2 Let i(y) = -67*y - 7. Let h(a) = -166*a - 14. Let r(v) = -2*h(v) + 5*i(v). Let f(x) = -x. Determine f(s) - r(s). 2*s + 7 Let m(i) = 3*i**2 + 4. Let w = 16661 - 16665. Let g(f) = -9*f**2 - 13. Calculate w*g(d) - 11*m(d). 3*d**2 + 8 Let d(v) = -60*v**3 + 5*v. Let y(f) = -241*f**3 + 22*f + 1. Calculate -9*d(l) + 2*y(l). 58*l**3 - l + 2 Let p(j) = j + 1. Let z(l) = l**3 + 19*l**2 - 15*l - 49. Let g be z(-20). Let u = g + 143. Let o(r) = 2*r + 2. What is u*p(a) + 2*o(a)? -2*a - 2 Let v(r) = 4*r**3 - 21*r**2 - 9*r - 5. Let w(q) = -4*q**2 + q - 1. What is -v(u) + 6*w(u)? -4*u**3 - 3*u**2 + 15*u - 1 Let f(r) = -5*r**2 + 7*r - 9. Let n(j) = 2*j**2 - 4*j + 5. Suppose 11*h = 514 - 437. Determine h*n(g) + 4*f(g). -6*g**2 - 1 Let p(r) = -4516*r + 20. Let o(q) = 4497*q - 16. Calculate -5*o(z) - 4*p(z). -4421*z Let x(v) = 6705*v**3 + 7*v**2 - 6*v - 12. Let h(d) = -2*d**3 - d**2 + d + 2. Calculate -6*h(z) - x(z). -6693*z**3 - z**2 Suppose 3*d = -4*c + 34, 5*d - 2*c = -6*c + 46. Let y(w) = w - d*w - 4 + 2 - w. Let i(l) = -47*l - 1 + 44*l + 2 - 2. Calculate -13*i(v) + 6*y(v). 3*v + 1 Let i(d) = 2. Let a(k) be the first derivative of 1 + 1/2*k**2 - k. Let y(g) = g**2 + 103*g - 3667. Let m be y(28). Calculate m*i(h) + a(h). h + 1 Suppose -85*g = -76*g - 45. Let n(v) = 2*v**2 - 11*v + 15. Let t(x) = -x**2 + 7*x - 10. Calculate g*n(z) + 8*t(z). 2*z**2 + z - 5 Let f(c) = -3*c - 4. Let u(g) = -1. Let q(z) = 62*z - 1053. Let s be q(17). Give s*f(w) - 4*u(w). -3*w Let w(o) be the second derivative of 1/6*o**3 + 41*o + 0 + 3*o**2. Let t(x) = -1. Give 4*t(y) + w(y). y + 2 Let t(u) be the first derivative of -u + 147 - 3/2*u**2. Let a(v) = -v. Determine -6*a(q) - t(q). 9*q + 1 Let r = 4282 - 4275. Let g(s) = -s**3 - 4*s**2. Let n(y) = -y**3 - 7*y**2. Give r*g(i) - 4*n(i). -3*i**3 Let f(x) = 4*x**2 - 3*x - 2. Let q be f(-1). Let i(d) = -d - 2. Let u(k) be the first derivative of -k**2/2 - 3*k + 26. What is q*u(l) - 7*i(l)? 2*l - 1 Let d(k) = 5*k - 5. Let g(l) = 8442 - 8428 - 19*l + 5*l. Determine -8*d(h) - 3*g(h). 2*h - 2 Let h(l) = 2*l**2 - 24*l - 5. Suppose 0 = 2*z + 4*n, -2*z - 24*n + 28 = -27*n. Let k(a) = -3*a**2 + 36*a + 8. Calculate z*h(s) + 5*k(s). s**2 - 12*s Let q(f) = -f - 1. Suppose 4*r = 4*i - 52, 5*i + 19 = -3*r + 76. Let c be i/(-42) - 23/(-7). Let a(k) = 4*k + 18 - 2*k - 21. Calculate c*q(j) - a(j). -5*j Let v(k) = 4*k**2 - 4*k + 1950. Let n(d) = 17*d**2 - 19*d + 7793. What is -2*n(r) + 9*v(r)? 2*r**2 + 2*r + 1964 Let w(f) = 11*f**3 - 6*f**2 - 895*f - 2. Let a(u) = 6*u**3 - 4*u**2 - 448*u - 1. What is -5*a(v) + 3*w(v)? 3*v**3 + 2*v**2 - 445*v - 1 Let h(s) = -3*s**2 - s + 4. Let d(p) = 5*p**2 - 336*p - 6. What is -d(v) - 2*h(v)? v**2 + 338*v - 2 Let p(u) = -5*u - 2. Let l(z) = -75*z. Let n(v) = -76*v - 1. Let t(o) = l(o) - n(o). What is -2*p(y) - 6*t(y)? 4*y - 2 Let u(x) = 13*x**3 - 9*x**2. Let t = -220 + 315. Let v = t + -93. Let g(o) = 3*o**3 - 2*o**2. What is v*u(i) - 9*g(i)? -i**3 Let q(x) = x - 1. Let g(f) = 2*f - 2. Let t(j) = -2*g(j) + 5*q(j). Let o = -93070 - -93071. Let k(l) = 20*l - 12. Calculate o*k(s) - 12*t(s). 8*s Let i = -39383 - -39384. Suppose -1 + 13 = 3*z. Let h be 0/(z + -2) + -2. Let w(j) = -j**2 - 2*j + 3. Let p(l) = -l**3 - l**2 - l + 1. Give h*p(g) + i*w(g). 2*g**3 + g**2 + 1 Let t(n) = -23*n**3 + 4*n**2 - 10*n - 1. Let x(g) = -46*g**3 + 6*g**2 - 17*g - 2. What is -5*t(j) + 3*x(j)? -23*j**3 - 2*j**2 - j - 1 Let f(n) = 14*n**3 - 4*n**2 - 4*n - 4. Let v be (0 - (-8)/16)*(-8 + 38). Let o(q) = -55*q**3 + 15*q**2 + 15*q + 15. Calculate v*f(z) + 4*o(z). -10*z**3 Let f(x) = 4301*x**2 - 3*x - 6. Let l(t) = 12893*t**2 - 10*t - 21. Give 7*f(q) - 2*l(q). 4321*q**2 - q Let i(q) = -40*q. Let c(u) = 127*u - 8. Let b(f) = -c(f) - 3*i(f). Let w(n) be the first derivative of 5*n**2 - 12*n - 4. Determine -7*b(m) - 5*w(m). -m + 4 Let n(v) = -v**3 + v**2. Let s be -21 - -14 - -9*1. Let g(h) = -4416*h**2 + 4413*h**2 + 4*h**3 + 2 - 1. Give s*n(a) + g(
{ "pile_set_name": "DM Mathematics" }
rder. 53, 4, -1, -4 Sort -4/7, 1225, 9 in decreasing order. 1225, 9, -4/7 Sort -3, -2, 6, -1. -3, -2, -1, 6 Sort 245, 1, -1 in decreasing order. 245, 1, -1 Sort -0.5, 0.03, 3, 3/2 in decreasing order. 3, 3/2, 0.03, -0.5 Put 0.2, -11, -32, 1, 4 in descending order. 4, 1, 0.2, -11, -32 Put 137, 0, -2/5 in descending order. 137, 0, -2/5 Put -3, 18, -4, 1 in decreasing order. 18, 1, -3, -4 Sort 0, -0.0275, -5 in decreasing order. 0, -0.0275, -5 Put 13, -3, 2, -5 in descending order. 13, 2, -3, -5 Sort -4, 4, 3, 469. -4, 3, 4, 469 Sort 2, 1, -1358. -1358, 1, 2 Sort 4, 3, 2 in descending order. 4, 3, 2 Put -2/7, -0.038, -2/17 in descending order. -0.038, -2/17, -2/7 Sort 0, -71, -8 in decreasing order. 0, -8, -71 Put -8, 1, 10, 3, 9 in decreasing order. 10, 9, 3, 1, -8 Sort 3, 5, -201, -2/3 in decreasing order. 5, 3, -2/3, -201 Sort 2, 21, -4, 11, -5 in increasing order. -5, -4, 2, 11, 21 Put 108, -4, 0 in decreasing order. 108, 0, -4 Sort 5, 1, -1, 140 in decreasing order. 140, 5, 1, -1 Sort -22, 1, -4, 5 in decreasing order. 5, 1, -4, -22 Sort -2, 9, -4. -4, -2, 9 Sort -1/9, 4, -193. -193, -1/9, 4 Sort 4, -1, 0, -2 in ascending order. -2, -1, 0, 4 Sort -4, -11, -31, -3, -2 in ascending order. -31, -11, -4, -3, -2 Put 4, -7, 5, -8 in increasing order. -8, -7, 4, 5 Put 0, -5, 5, -493 in ascending order. -493, -5, 0, 5 Sort 58, -6, 1, 4, -5. -6, -5, 1, 4, 58 Sort -139, 12, -4 in descending order. 12, -4, -139 Sort 4/5, 1/4, -38, -0.4 in descending order. 4/5, 1/4, -0.4, -38 Put -2, -6, -71, -3 in decreasing order. -2, -3, -6, -71 Put 5, -5, 0, -11 in descending order. 5, 0, -5, -11 Sort 3, 4, -316 in decreasing order. 4, 3, -316 Sort -3, -5/4, -5, -0.03, 0.4 in ascending order. -5, -3, -5/4, -0.03, 0.4 Put 6, -6, 0.2 in decreasing order. 6, 0.2, -6 Sort 4, 1, 2, -5, 83 in decreasing order. 83, 4, 2, 1, -5 Put -2, 4, -1, 0.03 in ascending order. -2, -1, 0.03, 4 Sort 1/5, 8, 1/9. 1/9, 1/5, 8 Put -5, 406, 2 in descending order. 406, 2, -5 Sort -2, 7, 13. -2, 7, 13 Sort 1, -0.5, -15.4 in descending order. 1, -0.5, -15.4 Sort 1/20, 2/11, 2/7, -4/3. -4/3, 1/20, 2/11, 2/7 Put 4, -1, -51 in descending order. 4, -1, -51 Sort -0.2, 4, 15, 11 in descending order. 15, 11, 4, -0.2 Sort -1, -16, 3. -16, -1, 3 Put 14, -3, 2 in increasing order. -3, 2, 14 Put 134, 0, -11 in increasing order. -11, 0, 134 Sort -2, -11, -0.5, -2/17 in descending order. -2/17, -0.5, -2, -11 Put -5, -2.2, 3 in ascending order. -5, -2.2, 3 Put 4, 5, 23, 19 in descending order. 23, 19, 5, 4 Sort 0.4, 3, 0, 4. 0, 0.4, 3, 4 Sort -36, -0.7, 3, 1/2, -1/2 in descending order. 3, 1/2, -1/2, -0.7, -36 Sort -5, 3, 2, 0, 440. -5, 0, 2, 3, 440 Sort 0, -1, 162 in decreasing order. 162, 0, -1 Sort -0.001, 2, -0.4, 5. -0.4, -0.001, 2, 5 Sort 7, -1, 135. -1, 7, 135 Sort -5, -0.2, 5, -4 in descending order. 5, -0.2, -4, -5 Put -0.1, -0.06, 29, -1 in decreasing order. 29, -0.06, -0.1, -1 Put -0.4, 1, -4, 0.07 in increasing order. -4, -0.4, 0.07, 1 Put 0, -4/3, 1/4, 0.4, -2/19 in ascending order. -4/3, -2/19, 0, 1/4, 0.4 Put -1, 0.2, 1, -8, -2/5 in decreasing order. 1, 0.2, -2/5, -1, -8 Put 4, -6, 1, -9 in descending order. 4, 1, -6, -9 Sort 1, 59, -28, -1 in ascending order. -28, -1, 1, 59 Put -1, 20, 65 in ascending order. -1, 20, 65 Put 1/4, -2.1, 1/2, -5, 1 in decreasing order. 1, 1/2, 1/4, -2.1, -5 Sort 2, -46, 0.5, -6.7. -46, -6.7, 0.5, 2 Sort 176, 0, 2. 0, 2, 176 Sort 17, 28, 2 in decreasing order. 28, 17, 2 Sort 0, 1/5, -0.01 in decreasing order. 1/5, 0, -0.01 Put -36, -1/3, 1/8 in increasing order. -36, -1/3, 1/8 Put 2/17, 0.1, 5, 2 in descending order. 5, 2, 2/17, 0.1 Put 0.4, -6, -4, 1/4 in decreasing order. 0.4, 1/4, -4, -6 Put -9477, 3, 4 in ascending order. -9477, 3, 4 Sort 7, -3.99, -1/6 in descending order. 7, -1/6, -3.99 Put 132, 4, 0, -2/15 in descending order. 132, 4, 0, -2/15 Sort 2, -8, 18 in decreasing order. 18, 2, -8 Sort 924, 5, -0.2, 5/3, 3 in ascending order. -0.2, 5/3, 3, 5, 924 Put -9, 0.032, -3 in descending order. 0.032, -3, -9 Sort -5, 1, -7, -6. -7, -6, -5, 1 Sort 6, 0, 2, 7, -5. -5, 0, 2, 6, 7 Put 55, 1, -3 in increasing order. -3, 1, 55 Put -0.04, -19, 68 in increasing order. -19, -0.04, 68 Sort 1, 2/5, 8, -0.5 in descending order. 8, 1, 2/5, -0.5 Put -15, -16, 3/4 in decreasing order. 3/4, -15, -16 Put 16.3, -0.5, -1 in ascending order. -1, -0.5, 16.3 Sort 0.3, 3, -5, -0.2 in decreasing order. 3, 0.3, -0.2, -5 Sort 154, 0.1, -0.04, -1/4. -1/4, -0.04, 0.1, 154 Put -0.01, 8, 2/5, 4, 3 in descending order. 8, 4, 3, 2/5, -0.01 Sort -2/9, -75, 0.4 in decreasing order. 0.4, -2/9, -75 Put 2, 3, 0.3, -165 in increasing order. -165, 0.3, 2, 3 Sort -4, 1, 4 in increasing order. -4, 1, 4 Put 0, -3, 6 in ascending order. -3, 0, 6 Sort 0, 15, 5, 1. 0, 1, 5, 15 Put 10/7, -9, -1/2 in increasing order. -9, -1/2, 10/7 Sort -1/4, 7/4, -2, -7/4 in increasing order. -2, -7/4, -1/4, 7/4 Sort 5, 0, 4, -29, 2 in ascending order. -29, 0, 2, 4, 5 Put -5, -7, 15/4 in descending order. 15/4, -5, -7 Put -5, 115/2, -2/11, 0.4, 0 in ascending order. -5, -2/11, 0, 0.4, 115/2 Sort 3, 1, -11. -11, 1, 3 Put 5, -21, -3 in increasing order. -21, -3, 5 Sort 4, 1111, 2, -1 in increasing order. -1, 2, 4, 1111 Sort 5, -1, 0, -96 in decreasing order. 5, 0, -1, -96 Sort -3/2, 2, 5, 2/5 in increasing order. -3/2, 2/5, 2, 5 Put -5, 11, 5, -1 in descending order. 11, 5, -1, -5 Put -2, 6, -4, 1 in descending order. 6, 1, -2, -4 Sort 1, 5, 2, 4 in ascending order. 1, 2, 4, 5 Sort 4, -41, 5. -41, 4, 5 Sort -0.3, -2/5, -0.79, -5/2 in decreasing order. -0.3, -2/5, -0.79, -5/2 Put -2, 2, 5, -90 in ascending order. -90, -2, 2, 5 Put 0, -5, -4, -30, 2 in increasing order. -30, -5, -4, 0, 2 Put -1/6, 5, 2/11793 in decreasing order. 5, 2/11793, -1/6 Sort 2, -46, -1, 48 in descending order. 48, 2, -1, -46 Put 0.5, -0.1, 0.06, -3/8 in descending order. 0.5, 0.06, -0.1, -3/8 Sort 2/3, -1/4, 33, 4, 1 in decreasing order. 33, 4, 1, 2/3, -1/4 Sort -91, 2/13, 4. -91, 2/13, 4 Sort -1, 5, 38 in ascending order. -1, 5, 38 Put 6, 1, 2 in increasing order. 1, 2, 6 Put -3, 174, 0 in decreasing order. 174, 0, -3 Sort 4, 16, -5, -2 in descending order. 16, 4, -2, -5 Put -4, -32, -3, 31, 0 in ascending order. -32, -4, -3, 0, 31 Sort -2, 25, -1, 1 in decreasing order. 25, 1, -1, -2 Sort -1, -5, 138. -5, -1, 138 Sort -2, -9, -4, 13 in increasing order. -9, -4, -2, 13 Sort 150, -4, 2. -4, 2, 150 Sort -154, 0, 1. -154, 0, 1 Put -6, 5, -568 in ascending order. -568, -6, 5 Put -5/3, 0.4, 1/5, -26 in ascending order. -26, -5/3, 1/5, 0.4 Put -177, 5, 4 in ascending order. -177, 4, 5 Sort 3, -197, 1 in increasing order. -197, 1, 3 Sort -2, 1, -5 in ascending order. -5, -2, 1 Sort -0.04, 6.1, -4/3, 1 in increasing order. -4/3, -0.04, 1, 6.1 Put -5, -203, 1, 0 in ascending order. -203, -5, 0, 1 Put -13, 0, -140 in decreasing order. 0, -13, -140 Sort 4, 3, -4, 5. -4, 3, 4, 5 Put 5/2, -0.8, -2 in increasing order. -2, -0.8, 5/2 Put -1/4, 5, 48, 1/8 in decreasing order. 48, 5, 1/8, -1/4 Put 4, -34, 9 in decreasing order. 9, 4, -34 Sort -1/5, 1/28, -2/13 in increasing order. -1/5, -2/13, 1/28 Put -1, 3, -2, -3, -22/5 in ascending order. -22/5, -3, -2, -1, 3 Put -1/4, -0.2, 28, 3 in descending order. 28, 3, -0.2, -1/4 Put 3, 33, -3 in ascending order. -3, 3, 33 Sort -1/25, -0.3, 1/3. -0.3, -1/25, 1/3 Put 5, 3, 0 in decreasing order. 5, 3, 0 Put 3, 10, -1, -2 in ascending order. -2, -1, 3, 10 Sort -1, 5, -117, -3. -117, -3, -1, 5 Put -15, -1, 2, -5, 56 in descending order. 56, 2, -1, -5, -15 Sort 8, 5, -1, -36 in decreasing order. 8, 5, -1, -36 Put 3, -3, 5 in descending order. 5, 3, -3 Sort -43, -2, 9, -4 in ascending order. -43, -4, -2, 9 Put -16, 5, -4, -5 in decreasing order. 5, -4, -5, -16 Put 1/15, 4, -4/5, -2 in decreasing order. 4, 1/15, -4/5, -2 Sort 5, 71, -5, 14 in decreasing order. 71, 14, 5, -5 Sort 4, -268, -1 in decreasing order. 4, -1, -268 Sort -12, 0.08, 1/2, 4 in increasing order. -12, 0.08, 1/2, 4 Sort -7, -4, 206, -2 in increasing order. -7, -4, -2, 206 Put -3, 1, -2/3, 0.4 in descending order. 1, 0.4, -2/3, -3 Put 4, -5, 5, 1, -20 in ascending order. -20, -5, 1, 4, 5 Sort 5, 73, 0, -3, 2 in decreasing order. 73, 5, 2, 0, -3 Put 1, 2, 6, -24, -3 in descending order. 6, 2, 1, -3, -24 Put 1/6, 1, -296/9 in ascending order. -296/9, 1/
{ "pile_set_name": "DM Mathematics" }
ppose n = 17*m - 16*m. Suppose -8*r - 5*r + 1547 = m. Calculate the greatest common factor of 7 and r. 7 Let h be ((-156)/13 - 4) + 27. What is the greatest common factor of h and 10384? 11 Let k = 247 + -246. Let y(s) = 14*s**3 - 9*s**3 + 2 + 11*s**2 - 7*s**2 - 5*s. Let c be y(k). What is the greatest common divisor of 48 and c? 6 Suppose -7*z = 10 - 31. Suppose -58*t + z = -55*t. Calculate the greatest common divisor of 40 and t. 1 Let o = 23 - 13. Let u = 480 - 788. Let k = u - -328. What is the highest common factor of o and k? 10 Let q = -3329 + 3434. Calculate the greatest common divisor of 2625 and q. 105 Suppose 0 = -2*t - 3*c + 49 + 29, 3*c + 90 = 2*t. What is the greatest common divisor of t and 819? 21 Suppose -2*x + 0*q + 12 = -4*q, 3*x + q - 4 = 0. Suppose x*h - 244 = -236. Calculate the greatest common factor of h and 5. 1 Suppose -6*r = 43*r - 28385 + 1974. What is the highest common factor of r and 231? 77 Let v = -39 + -36. Let r be -1 + (-86)/(-6) + (-50)/v. Suppose 25*t - r = 24*t. Calculate the greatest common factor of t and 56. 14 Let n(r) = 7*r**3 - r**2 + 4*r - 87. Let q be n(5). What is the greatest common divisor of 12 and q? 3 Suppose 1408*l - 1414*l = -3120. Let w = -439 + l. What is the highest common divisor of 45 and w? 9 Suppose -3*a - 5*v = -80, -4 = -3*v - 1. Suppose x = 5*c - 395 - 982, 0 = -5*c + 2*x + 1379. What is the highest common factor of c and a? 25 Let c = -29 - -21. Let h be 2/(-4) - (5 + 1524/c). Suppose 5*v - 3*i = 785, v + 5*i - h = -0*v. Calculate the greatest common divisor of 64 and v. 32 Let k = -41580 - -41700. Suppose m + 3*y + 95 = 2*m, -385 = -5*m - 3*y. Calculate the highest common factor of k and m. 40 Let b = 164 + -81. Suppose -6285 = -15*y - 5145. Let h = b - y. Calculate the highest common divisor of 49 and h. 7 Let v(m) = -m**2 + 50*m - 236. Let f be v(12). Calculate the highest common divisor of f and 132. 44 Suppose -4*w + 12634 = n + 2797, -4*w - 5*n = -9825. Calculate the greatest common factor of 15 and w. 15 Let n = -7661 + 11184. What is the greatest common divisor of 26 and n? 13 Let t be (-2)/10 + 151/5. Let c = -84772 - -84842. What is the highest common divisor of c and t? 10 Suppose -11266 + 1326 = -142*z. Calculate the highest common factor of z and 55. 5 Suppose -5*h + 2*t = -0*h - 43, 55 = 5*h - 5*t. Let r(z) = h - 14 - 7*z + 6 + 24*z. Let s be r(1). Calculate the greatest common factor of s and 176. 16 Let b = -1432 + 1507. Let r = -75 + 25. Let t = b + r. What is the highest common factor of 225 and t? 25 Let w = -70515 + 70762. Let n(t) = -t**2 - t + 26. Let h be n(0). What is the highest common divisor of w and h? 13 Suppose -5*r + 25 = 0, -3*u - r = u - 2125. Let h = u - 322. Let g = -53 + 79. Calculate the highest common divisor of h and g. 26 Suppose -1064 = -4*h - 404. Let i(w) = -3*w - 5. Let q be i(-3). Let v = q - -11. What is the highest common divisor of h and v? 15 Let y = -168 + 497. Let a be (-6)/7 + 13442/y. Let u = 30 + 30. Calculate the highest common divisor of u and a. 20 Let g be -4*18/288 - (-57514)/8. Calculate the highest common factor of 364 and g. 91 Let q = -1066 - -1338. What is the greatest common factor of 170 and q? 34 Suppose -5*f + 3*m = -683, -7*f + 3*f + 5*m = -536. Calculate the greatest common divisor of 9313 and f. 139 Suppose 5*u + d - 936 = 0, 1073*u - 3*d = 1072*u + 200. What is the greatest common factor of u and 7849? 47 Let b(z) = z**3 - z**2 + 45*z - 197. Let d be b(11). What is the greatest common factor of 520 and d? 52 Suppose 5*s - 8 - 22 = 5*d, 4*d + 12 = s. Suppose 122 = -3*l + 4*k, -s*l + 0*k - 2*k = 170. Let o = l + 58. What is the greatest common divisor of 80 and o? 16 Suppose -11*c - 331 = 2*c - 825. What is the greatest common factor of c and 20653? 19 Let b be (-25 + 26 - (-1 + 4)) + 38. Suppose -2*q + 43 = -3*v, b = q + 2*q + 5*v. What is the highest common factor of 3 and q? 1 Let u = 15 - 7. Let j be u/12 + (-10)/(-3). Suppose j*p + 0*m - 2*m = 60, -4*m + 30 = 2*p. Calculate the highest common factor of 75 and p. 15 Suppose -3*h = 5*a + 25, -h = 4*a - 5*h + 20. Let w be (-48)/a*(135/18 + -5). Calculate the greatest common factor of w and 276. 12 Let o(y) = -5*y - 29. Let s be o(-7). Suppose 5*f + 1 = s, 52 = 4*r + 4*f. Calculate the highest common factor of 3 and r. 3 Suppose 0 = -p + 4*x - 7*x + 2, -4*x + 3 = p. Let s be (36/(-8))/(p/2). Suppose s*i - 15*i = -180. Calculate the highest common factor of 10 and i. 10 Suppose -2*i = -4*y + 43 - 337, -4*i = y - 570. Let l = -793 + 820. Let f be (-58)/261 - ((-606)/l)/2. What is the greatest common factor of i and f? 11 Let s = -37771 - -37885. Suppose -y = -5*y + 152. What is the highest common factor of y and s? 38 Let c(w) = -37*w + 1480. Let a be c(31). What is the highest common divisor of a and 63? 9 Let c be 3 - ((-1)/(-2))/(2/(-8)). Let x be (-36)/60 - (-13)/c. Suppose 4*z - 157 = 3*a, 5*z - 123 = -x*a + 79. What is the highest common factor of 8 and z? 8 Suppose -3*j - 5*t = -19236 - 11822, -4*j = 5*t - 41409. What is the highest common factor of j and 11? 11 Let f(g) = -78*g + 13284. Let p be f(158). Calculate the highest common divisor of 75 and p. 15 Let h be (26 + (-1968)/72)/(2/(-18)). What is the greatest common divisor of 83 and h? 1 Let s = -113 + 169. Suppose 17*b - 192 = 11*b. Suppose x - 16 = -2*v + 3*x, -3*x + b = 5*v. What is the highest common divisor of v and s? 7 Let l be (-12)/(-10) + 130914/630. Suppose 10*q + 629 = 1769. Calculate the greatest common factor of l and q. 19 Let u be (-13)/(-5) + 3/(-5). Suppose -r - 2 = 4. Let w(f) = f**2 + 10*f + 29. Let k be w(r). What is the highest common divisor of u and k? 1 Let x(h) = h**3 + 35*h**2 + 31*h + 34. Suppose -68 = -94*c + 96*c. Let d be x(c). Calculate the greatest common factor of 68 and d. 68 Let f(v) = 17*v + 10. Let z be f(-1). Let g = z - -75. Calculate the highest common divisor of 748 and g. 68 Suppose -60 = -3*c + 66. Let t be (-1)/2 - 64605/(-438). Calculate the highest common divisor of c and t. 21 Let s = -10 + 18. Suppose -s*f + 18 = -5*f. Suppose -f*j = -3*j + 9, 2*z = -4*j - 2. What is the greatest common factor of 55 and z? 5 Let b = 20 - 62. Let y = -41 - b. Calculate the greatest common divisor of y and 1. 1 Let f(p) = 6*p**3 - 98*p**2 + 40*p - 116. Let x be f(16). Calculate the greatest common factor of 4 and x. 4 Suppose -22*j + 3312 + 46857 + 47269 = 0. What is the greatest common divisor of 103 and j? 103 Let l = -289 + 311. Let y = -11 + l. What is the greatest common factor of y and 11? 11 Let u = -59 - -55. Let g be (-1*(-11)/u)/(5/(-20)). Let l(m) = m**3 - 11*m**2 + 7*m + 13. Let s be l(g). Calculate the highest common divisor of 60 and s. 30 Let w be 3 - 1/(145/(-345) - (-12)/138). What is the greatest common divisor of w and 1306? 2 Suppose 1742*n - 1712*n - 8580 = 0. Calculate the highest common factor of 319 and n. 11 Let r = -1183 + 9971. What is the greatest common divisor of 52 and r? 52 Suppose 48 + 96 = 5*v + c, 3*v - 120 = 5*c. Calculate the highest common divisor of 3390 and v. 30 Suppose -3*y - 35 = -5*c - 5, -4*c = 4*y - 24. What is the greatest common factor of 78 and c? 6 Let u(p) be the first derivative of 2/3*p**3 - 16 + 3*p**2 - 2*p. Let w be u(7). Calculate the highest common factor of 46 and w. 46 Let r be 48*9*4/54. What is the greatest common factor of r and 464? 16 Let c = 19 + -6. Suppose -58*z = -28*z - 3510. Calculate the greatest common divisor of c and z. 13 Let m = 30 - 25. Suppose -4*j = j + m, 3*d - 118 = -5*j. Let r = -875 + 916. Calculate the highest common factor of d and r. 41 Let z = 258 + -205. Suppose z = 2*v - 5*i - 12, 55 = 3*v + i. What is the greatest common divisor of v and 70? 10 Let g = -499 - -511. Let q(n) = 17*n - 181. Let c be q(g). What is the highest common factor of c and 69? 23 Let p = -45 + 39. Let n be p/(-2)*10120/165. Calculate the greatest common divisor of 138 and n. 46 Suppose 3*z = 2*f - 614, -7*f + 1560 = -2*f + 5*z. Let c be (4/20)/(2/f). Calculate the greatest common factor of c and 62. 31 Let w(o) = o**2 + 9*o + 11. Let g be w(-10). Let b be 42/12*(576/g)/4. What is the greatest common divisor of b and 6? 6 Let r be 3 + (1/2)/(5/(-10)). Suppose 2*u = -s + 22, r*u = u + s + 5. Let p be (-64
{ "pile_set_name": "DM Mathematics" }
vtzaqqzyvaqqzay. Give prob of sequence zyva. 1/969 What is prob of sequence mmm when three letters picked without replacement from mmmmmmmmm? 1 Two letters picked without replacement from {l: 2, h: 7, u: 4}. Give prob of sequence uh. 7/39 What is prob of sequence ejee when four letters picked without replacement from ejnneecej? 1/63 What is prob of sequence fff when three letters picked without replacement from {f: 4}? 1 Calculate prob of sequence ooo when three letters picked without replacement from {o: 3, v: 5, f: 3}. 1/165 Calculate prob of sequence uuf when three letters picked without replacement from fwffjfwwfujffufu. 1/70 What is prob of sequence iks when three letters picked without replacement from swxki? 1/60 Four letters picked without replacement from roxyrxeerceeecrrrer. Give prob of sequence crye. 7/7752 Three letters picked without replacement from kkkkkkqkkkkkkkkqkk. Give prob of sequence qkk. 5/51 Calculate prob of sequence qq when two letters picked without replacement from xxxxxxqxqxxx. 1/66 Three letters picked without replacement from {z: 5, t: 2}. What is prob of sequence zzt? 4/21 Two letters picked without replacement from {c: 2, g: 1, v: 1, k: 2, w: 1, m: 2}. Give prob of sequence vg. 1/72 What is prob of sequence ii when two letters picked without replacement from {d: 1, f: 6, u: 1, h: 3, s: 2, i: 2}? 1/105 Three letters picked without replacement from hbhiiddibhihdb. What is prob of sequence bhd? 3/182 Three letters picked without replacement from nnnknkkkcn. Give prob of sequence cnk. 1/36 What is prob of sequence dz when two letters picked without replacement from {y: 1, z: 5, x: 2, q: 1, d: 3}? 5/44 Three letters picked without replacement from uhrtturthhhrttttoz. What is prob of sequence tzo? 7/4896 Two letters picked without replacement from mtqtmqttamtqqt. Give prob of sequence qm. 6/91 Calculate prob of sequence wrr when three letters picked without replacement from {r: 15, w: 3}. 35/272 Two letters picked without replacement from {z: 1, v: 7, h: 4, o: 8}. What is prob of sequence oz? 2/95 What is prob of sequence uj when two letters picked without replacement from ulljo? 1/20 Calculate prob of sequence mim when three letters picked without replacement from jjjmjsimimjjjjijxij. 4/969 Four letters picked without replacement from {o: 2, h: 2, u: 3, i: 5, s: 2, k: 2}. What is prob of sequence iskh? 1/1092 Calculate prob of sequence aaj when three letters picked without replacement from qqjjleaereeeqeajqjer. 1/855 Three letters picked without replacement from {v: 3, a: 3, n: 1}. Give prob of sequence aav. 3/35 Three letters picked without replacement from gqggq. Give prob of sequence qgq. 1/10 Two letters picked without replacement from wdwqdwwb. Give prob of sequence dd. 1/28 What is prob of sequence yppt when four letters picked without replacement from etttsseylpptytltpy? 1/680 What is prob of sequence zvf when three letters picked without replacement from wzvzvfz? 1/35 Four letters picked without replacement from ydyryrdarw. What is prob of sequence aydw? 1/840 What is prob of sequence si when two letters picked without replacement from {k: 2, s: 1, y: 1, i: 1, l: 1, q: 2}? 1/56 Two letters picked without replacement from bqdnnqe. What is prob of sequence ne? 1/21 Two letters picked without replacement from kkattkaakajkatkatk. What is prob of sequence kt? 14/153 Three letters picked without replacement from {a: 6, i: 7, g: 3, o: 3}. Give prob of sequence ggi. 7/969 Calculate prob of sequence xkk when three letters picked without replacement from kkkkkxkxk. 1/6 Three letters picked without replacement from {m: 2, p: 1, i: 2, h: 1, x: 1, j: 1}. What is prob of sequence ihx? 1/168 Four letters picked without replacement from idctllb. What is prob of sequence lbid? 1/420 Three letters picked without replacement from srreudz. What is prob of sequence ser? 1/105 Two letters picked without replacement from {z: 1, a: 3, j: 2, m: 1, n: 4}. What is prob of sequence mj? 1/55 Four letters picked without replacement from okkofoffkkkkkfokk. Give prob of sequence fkkk. 3/85 What is prob of sequence msmm when four letters picked without replacement from {m: 5, s: 5}? 5/84 Two letters picked without replacement from {c: 5, z: 3, u: 5}. Give prob of sequence cc. 5/39 What is prob of sequence kxxx when four letters picked without replacement from xxxxxxxxxxxxkkxxxxxx? 8/95 Calculate prob of sequence qv when two letters picked without replacement from xpbvbxvvpqvvxbvjv. 7/272 Four letters picked without replacement from tariiauqr. What is prob of sequence quta? 1/1512 Calculate prob of sequence wosk when four letters picked without replacement from qsowqqokkswv. 2/1485 Two letters picked without replacement from aefqc. Give prob of sequence ef. 1/20 Calculate prob of sequence wkw when three letters picked without replacement from {k: 1, w: 2}. 1/3 Four letters picked without replacement from {h: 16, w: 2}. Give prob of sequence whhw. 1/153 Two letters picked without replacement from {u: 7, d: 1, k: 7, v: 2, c: 3}. What is prob of sequence ku? 49/380 What is prob of sequence vf when two letters picked without replacement from {i: 2, f: 4, g: 3, v: 10}? 20/171 Three letters picked without replacement from {g: 12, o: 6}. What is prob of sequence goo? 5/68 Four letters picked without replacement from {d: 2, b: 7}. Give prob of sequence bbdb. 5/36 Calculate prob of sequence mq when two letters picked without replacement from {q: 2, m: 9}. 9/55 What is prob of sequence pnp when three letters picked without replacement from ppwppncc? 1/28 Three letters picked without replacement from {d: 4}. Give prob of sequence ddd. 1 Two letters picked without replacement from {c: 1, h: 1, x: 1}. Give prob of sequence xc. 1/6 Calculate prob of sequence qv when two letters picked without replacement from qetvn. 1/20 What is prob of sequence tttt when four letters picked without replacement from tttttttttt? 1 Calculate prob of sequence voq when three letters picked without replacement from {v: 8, q: 3, y: 3, g: 4, o: 1}. 4/969 Four letters picked without replacement from {r: 4, b: 1, e: 1, m: 8, y: 1}. What is prob of sequence ryme? 4/4095 What is prob of sequence nq when two letters picked without replacement from qvimvvnv? 1/56 What is prob of sequence zvv when three letters picked without replacement from {f: 1, z: 1, v: 2, c: 5}? 1/252 Four letters picked without replacement from {u: 10, y: 2, c: 7, s: 1}. Give prob of sequence cscy. 7/9690 What is prob of sequence gzbg when four letters picked without replacement from {n: 2, b: 2, z: 2, g: 2}? 1/210 What is prob of sequence yrd when three letters picked without replacement from {n: 1, r: 1, v: 1, d: 6, y: 1, u: 1}? 1/165 Calculate prob of sequence aaa when three letters picked without replacement from gagaa. 1/10 Calculate prob of sequence vk when two letters picked without replacement from kkkkkvvkkvkkkvvkkv. 4/17 What is prob of sequence qqqd when four letters picked without replacement from qqqd? 1/4 Two letters picked without replacement from {p: 2, c: 3, b: 3, e: 12}. Give prob of sequence cb. 9/380 What is prob of sequence dd when two letters picked without replacement from {d: 7, j: 5}? 7/22 Calculate prob of sequence tpat when four letters picked without replacement from tptpzaoatpp. 1/165 Three letters picked without replacement from {t: 2, h: 5, q: 1, k: 10, s: 1, y: 1}. Give prob of sequence qkk. 1/76 Calculate prob of sequence gn when two letters picked without replacement from llnxnxxgln. 1/30 Three letters picked without replacement from {x: 11, s: 1}. Give prob of sequence xsx. 1/12 Calculate prob of sequence eiei when four letters picked without replacement from {i: 3, e: 4, s: 2, q: 1}. 1/70 What is prob of sequence yyk when three letters picked without replacement from kkktykoqyttkyt? 5/364 Two letters picked without replacement from zrr. What is prob of sequence rr? 1/3 Three letters picked without replacement from {z: 4, d: 1, j: 2, n: 4, q: 1, i: 2}. Give prob of sequence zzj. 1/91 What is prob of sequence pp when two letters picked without replacement from {r: 3, a: 2, q: 3, p: 4, y: 4, o: 2}? 2/51 Two letters picked without replacement from wwah. Give prob of sequence
{ "pile_set_name": "DM Mathematics" }
z**3 + o*z**2 - 4*z**3 + 5*z. Determine s(-7). 11 Let u(z) = 41 - 819*z + 7*z**2 + 823*z + z**3 + 3*z**2. Determine u(-10). 1 Let t(v) = 25*v + 736. Let y be t(-29). Let a(b) = b - 6. Give a(y). 5 Let a(x) = x**3 + 21*x**2 - 22*x - 12. Suppose 221 = -p + 199. What is a(p)? -12 Let m = -607035 + 607039. Let c(y) = 3*y**3 + 17*y**2 - 13*y + 12. Let l(q) = 4*q**3 + 25*q**2 - 19*q + 18. Let u(o) = -7*c(o) + 5*l(o). Give u(m). 22 Let a(z) = 8*z**3 + z - 1. Let d = 703 + -760. Let w = -110 - -168. Let o = d + w. Determine a(o). 8 Let o(c) = 4*c**3 - 4*c**2 - 2*c + 2. Let s = 2524 + -2521. Give o(s). 68 Let g = 178 - 173. Let l(k) = k**3 - 12*k**2 + 12*k - 7. Let y be l(11). Let i(r) = -y + 2 + r + 0*r + 8. What is i(g)? 11 Let n(z) = -z**2 + z + 11. Let x be (-5 - (-9 - 2)) + -3. Let s be n(x). Let p(w) = w**3 - 12 - 6*w + w - 6*w**2 + 2*w**2 + 13. Give p(s). 1 Suppose 5*b - 17139 = -17124. Let d(t) be the second derivative of 5/6*t**b - 1/12*t**4 + 5/2*t**2 + 0 - 7*t. What is d(5)? 5 Suppose -3*o = 0, 0 = -5*l - 3*o + 8*o + 250. Let z(i) = -145 + i + l + 48 + 45. What is z(0)? -2 Let r = -51 - -56. Suppose 11 - r = -k. Let l(a) be the second derivative of -a**5/20 - a**4/2 - 3*a**2 + 5*a. What is l(k)? -6 Let k(r) = -r**3 - 8*r**2 - 9*r - 9. Let p(v) = v**3 - 10*v**2 + 8*v - 24. Let s be p(10). Let o = s + -171. Let h = o + 109. Calculate k(h). -27 Let w(q) = 3*q**2 + q**2 + 2*q**2 + 9*q - 7*q**2 + 4*q**2 - 40. Let y(f) = f**2 + 3*f - 14. Let i(g) = 6*w(g) - 17*y(g). Determine i(-4). 2 Let j(q) = -35 - 49*q + 79*q - 20*q. Determine j(4). 5 Let p be (-56)/252 + 60/27. Let d(c) = 2*c - 1 + c**p - c + 3*c**2 - 9 - 3*c**2. Determine d(0). -10 Let n(r) = r**3 + 7*r**2 - 5*r + 7. Suppose -12 = 2*t - 2*h, -4*h + 18 = -5*t - 12. What is n(t)? 73 Let j(n) = -4*n**2 + 7*n - 8. Suppose 4*d = -2*o + 30, 5*o - 209*d + 214*d = 50. Give j(o). -73 Let c(s) = 5*s - 73. Let o(n) = -14*n + 202. Let q(w) = -8*c(w) - 3*o(w). Give q(5). -12 Let n(r) = r**2 + 5*r + 1. Let p be n(-6). Let s = -480 - -483. Let l(k) = -p*k - 6*k + 2*k**2 + 12*k - k**s - 2 - k**2. Give l(0). -2 Let l(o) = -o. Let x(m) = -4*m + 16. Let g(t) = 8*l(t) - x(t). Let v(k) = -k - 2. Let b(j) = g(j) - 5*v(j). Determine b(5). -1 Let z(a) = a**3 + 11*a**2 + 25*a + 56. Suppose 2*n + 45 - 11 = 4*u, 4*u + 2 = -2*n. Calculate z(n). -7 Let n(j) = j**2 - 10*j. Suppose 4*g + 0*y = -3*y + 31, -3*g - y = -22. Let h be 2/(g - 120/18). What is n(h)? -24 Let t(h) = 38*h**2 - 9*h + 3. Suppose -5*k - 580*y = -577*y - 17, 0 = 4*y - 16. Determine t(k). 32 Suppose -5*b = -3*i + 261, -3*i + 4*b = 7*b - 261. Suppose -5*n = i - 102. Let s(m) = -2*m**2 + 8*m - 1. Give s(n). 5 Let m be (-4)/(-12)*(0 - -6). Let b(l) = -5*l**3 - 3*l**2 + 14*l - 5. Let u(v) = 6*v**3 + 4*v**2 - 17*v + 6. Let a(h) = -5*b(h) - 4*u(h). What is a(m)? 1 Let m(z) = -38*z - 499. Let l be m(-13). Suppose k + 0 = 2. Let d(c) = 7 - c**k + 1 + 2*c**2 - 4 + 6*c. Give d(l). -1 Let l(b) = -b**3 + 10*b**2 + 19*b - 9. Suppose 182*r = -479 + 2481. Calculate l(r). 79 Let o(l) = -2*l**3 - 11*l**2 - l + 1. Let n(p) = 9*p**3 + 59*p**2 + 4*p + 24. Let u(z) = -n(z) - 5*o(z). What is u(5)? 1 Let k = -280 - -285. Suppose 0*j + k = l - 2*j, 5*l + 3*j = -27. Let u(y) = -y**2 - 1 + 2*y**2 + 0*y**2 + y. What is u(l)? 5 Let a(t) = -10*t + 83. Let h be a(8). Suppose -m + 4*x + 6 = x, 0 = h*m + 2*x - 18. Let u(b) = -b**3 + 7*b**2 - 2*b - 6. What is u(m)? 18 Let t = -89 - -84. Let p(w) be the first derivative of -w**2/2 - 10*w - 242. Determine p(t). -5 Let d(g) = -12*g**3 - g**2 - g + 72. Let o(w) = 14*w**3 + 2*w**2 + w - 87. Let p(a) = 6*d(a) + 5*o(a). Calculate p(4). -71 Let p be -10 - (-3 + 5/2)*8. Let k be ((-35)/(-6) - 1) + (-1)/p. Let a(d) = -2*d - 2. What is a(k)? -12 Let t(w) = w**3 + w - 1. Let j(h) = -6*h - 66. Let q be j(-13). Suppose 0 = -3*l + q, -l + 4 = 2*b + b. Calculate t(b). -1 Let n(d) be the first derivative of d**2/2 - 11*d - 20308. Let y be (8/(-6))/((-2)/6). Determine n(y). -7 Let x(r) = r**3 - 3*r**2 - 4526 + 9067 + 8*r - 4*r**2 - 4536. What is x(4)? -11 Suppose b = 4*a + 18, a - 6*a = b - 9. Suppose 5*o = -3*l + 21 - b, -3*o + 3 = 3*l. Let r(y) = -y**3 + 3*y - 2. What is r(o)? -4 Let u = 7 - 11. Let a(f) = 4*f**3 + 8*f**2 + 6*f. Let p(i) = 66*i - 113*i + 15*i**2 + 7*i**3 + 59*i. Let j(d) = -5*a(d) + 3*p(d). What is j(u)? -8 Let x(o) be the third derivative of -o**6/360 - o**5/30 - o**4/8 + 37*o**3/2 - 127*o**2. Let d(j) be the first derivative of x(j). Give d(-2). 1 Let v(k) = -1964*k + 36. Let m(h) = 393*h - 6. Let d(a) = -5*m(a) - v(a). Let g = -2 - 6. Calculate d(g). 2 Let p(y) = -90*y + 92*y + y**2 - 1 + 19*y**3 - y**2. Let l be p(1). Let c(u) = 14*u + 7*u - l*u. Determine c(-2). -2 Let z(i) = i**3 + 3*i**2 - 4*i - 5. Let d be -4 + ((-5)/(-1) - -1). Let l be z(d). Let s(p) = -p + 4. Give s(l). -3 Let o(v) = 945*v**2 + 6614*v - 7. Let f be o(-7). Let m(u) be the third derivative of 0*u**4 - 1/120*u**6 - u - 2*u**2 + 1/3*u**3 + 0 + f*u**5. Determine m(-3). 29 Let b(s) = 234*s - 2336. Let g be b(10). Let c(z) = -3*z**2 - 23*z + 95. Determine c(g). -45 Let l(y) = y**2 - 9*y - 19. Let h = -112 + 123. Let j be l(h). Let s(q) = 4 + 4*q + 2*q**2 - 5*q - 2*q**2 + 3*q**2 - q**3. Calculate s(j). 1 Let b(w) = 4*w**2 + w. Let x(n) = 2*n**2 + n. Let i(q) = 2*b(q) - 5*x(q). Let r(c) = -6*c - 410. Let g be r(-68). Give i(g). -2 Let u(c) = c**3 + 6*c**2 - 4*c - 22. Let s = 332 + -338. Calculate u(s). 2 Suppose 0 = m, -2*h - 26 = -3*m - 14. Let f(v) = -v**3 - 9*v**2 - 17*v - 2. What is f(h)? -8 Suppose 1 = -d + 3*t, -4 = -d - 2*t - 0. Suppose -10 = 2*z, -d*n - z = z + 8. Let m(y) be the second derivative of -5*y**3/3 + 155*y - 6. Give m(n). -10 Let y(s) = 36*s**3 + s**2 - 1. Let d be y(-1). Let v = 30 + d. Let g(i) = i**3 + 7*i**2 + 5*i - 8. What is g(v)? -2 Let p(b) = 4*b**3 - 3*b**3 + 1033*b**2 - 1037*b**2 + 4*b + 2 - 3. Let q = -4 - -7. Let r be p(q). Let g(o) = -o**3 + 4*o**2. What is g(r)? 8 Let k(d) be the second derivative of -7*d**5/120 + d**4/6 + 199*d**3/6 + 134*d. Let o(t) be the second derivative of k(t). What is o(-3)? 25 Suppose -2*w + 28 - 33 - 13 = 0. Let d(j) = -j**2 - 13*j - 15. Calculate d(w). 21 Suppose f + 38 = d + 4*f, 6 = d - 5*f. Suppose -19 = -c + 4*w, -5*c + 18 + d = -3*w. Suppose 3*k + c = 4*k. Let m(l) = -2*l - 1. Calculate m(k). -15 Let v be 1 + 58/(-5) + (-2 - 168/(-105)). Let q(k) = 11*k + 3*k - 10 - 3*k**2 + 4*k**2. Give q(v). -43 Let c = -30 - -26. Let v(w) be the second derivative of -5/6*w**3 - w**2 + 1/20*w**5 - 32*w + 1/6*w**4 + 0. Give v(c). -14 Let w(f) = -17*f - 99. Let z be ((-9 - -37)/7)/(4/(-6)). What is w(z)? 3 Let o(c) = c - 10. Let p be 21*(4 - 48/18). Suppose 33*w - 25 = p*w. What is o(w)? -5 Suppose -3*x + 0 + 9 = 0. Let s(v) = -1090*v - 1092*v + 2179*v + 6*v**2. Give s(x). 45 Let u be 2/(-3) + 1 - (-16)/6. Suppose 0 = -u*v + 5 + 28. Let d(b) = -b**3 - 10*b**2 - 787*b - v + 798*b + 2*b**3. Calculate d(9). 7 Let n(h) = -4*h**2 - 140*h + 9. Let q be -29 + (-6)/3 + (-6 - -2). Determine n(q). 9 Suppose -b = b - 56. Suppose 4*i - 8*i = b. Let f(g) be the second derivative of g**5/20 + 7*g**4/12 - g**3/6 - 7*g**2/2 + 1662*g - 2. What is f(i)? 0 Let f(q) be the third derivative of 1/12*q**5 + 1/120*q**6 + 1/24*q**4 + 1/2*q**3 + 0*q - 31*q**2 + 0. Calculate f(-5). -2 Let t(j) = -14*j**3 - j**2 + 5*j - 12. Let i(g) = 79*g**3 + 7*g**2 - 29*g + 68. Let k(v) = 3*i(v) + 17*t(v). Let p(m) = 2*m - 8. Let n be p(6). Give k(n). -8 Let y(q) be the second derivative of 5*q**4/12 + 65*q**3/6 - 13*q**2/2 - 32*q - 9. Calculate y(-13). -13 Suppose -16*t - 19 = -12*t + u, 0 = -4*u + 4. Let k(a) = -5*a**2 + 13*a + 4. Let x(q) = 6*q**2 - 17*q - 6. Let z(w) = 5*k(w) + 4*x(w). Determine z(t). -14 Let c(d) = 2*d + 17. Suppose 0 = -422*q + 313*q - 1308. What is c(q)? -7 Suppose -27*x - 70 = 33*x + 350. Let z(d) = 8*d + 33. Calculate z(x). -23 Let n be (-544)/102 + 20/15. Let o(b) = -1 - b**3 - 3*b**2 + 5 + 4*b - 3. Give o(n). 1 Let f = 95 - 95. Let p(u) = -u**2 + 3*u - 6. Let i be p(f). Let g(a) = a**3 + 5*a**2 - 7*a - 1. Calculate g(i). 5 Suppose 0 = 4*n + 4*h - 190 + 118, 0 = -n + h + 8. Let v(o) = o**3 - o. Let c(m) = -7*m**3 + 12*m**2 + 17*m + 16. Let r(d) = -c(d) - 6*v(d). What is r(n)? 10 Let f(b) be the second derivative of b**3/6 + 13*
{ "pile_set_name": "DM Mathematics" }
posite number? False Suppose 4*v = k - 37036, 4*k - 5*v = 146325 + 1808. Suppose 0 = 9*p - 33*p + k. Is p a composite number? False Let w(v) = 2*v**2 - 2*v**2 + 12*v**2 - 9*v**2 + 1243 - 5*v**2 + 2*v. Suppose -3*u = -4*u. Is w(u) a composite number? True Let q(p) = -p**2 - 22*p + 27. Let b be q(-23). Suppose -b*n + 14142 = 2*n. Is n prime? True Let q(s) = -976*s - 94. Let a be q(-5). Suppose 5*o + 2*f = a, -o + 4*f + 1368 = 402. Is o a composite number? True Let n(z) be the second derivative of 83*z**4/6 + 3*z**3/2 - 14*z**2 - 5*z. Let f be n(6). Suppose -r + f = 3*r - 2*w, 0 = w - 1. Is r a prime number? False Let u = -45 + 59. Let b(i) = 16 + 6*i + 21 + 16*i**2 - u*i. Is b(5) prime? True Let m = -1346 + 35073. Is m prime? False Is ((-6)/(-18))/((-4)/(-179724)) + -8 composite? False Let x(p) = 2*p**2 + 5*p - 28. Let b be x(3). Suppose -4*m + 16094 = -b*c + 7*c, -3*c = -m - 24113. Is c a prime number? True Let b(k) = k**3 - 3*k**2 - 3*k + 12. Let z be b(3). Suppose -z*g - 7886 = -5*g. Is g a prime number? True Suppose -3*c + 6*c - 2*n = -5, -1 = -n. Let p = c + 294. Is p composite? False Let q(w) = 7613*w**2 + 2*w - 2. Let a be q(2). Is -2*45/240 + a/16 a prime number? False Suppose -4971*a + 3277682 = -4934*a. Is a a composite number? True Let y = 719393 + -405802. Is y composite? True Let h = 1740589 + 16396. Is h a prime number? False Suppose -2591 = -5*l - 4*t, -3*t - 1010 = -2*l + 2*t. Suppose -5*n = -5030 - l. Is n a composite number? False Let u = -57613 - -113216. Is u a composite number? False Suppose 17*i - 14*i = 9. Suppose -3*d = k - 8492 + 2698, -i*k = 2*d - 3865. Is d a composite number? False Suppose -5*m + 350420 + 22865 = -4*i, 0 = m - i - 74658. Is m prime? True Let g = -16638 - -28529. Suppose -3*w - 2*r - 1033 = -g, -3*w = 4*r - 10850. Is w a composite number? True Let i(d) = -7*d**2 + 13*d - 1. Let s(r) = 3*r**2 - 7*r. Let k(o) = 2*i(o) + 5*s(o). Let l be k(9). Is (6/(-30))/(l/1910) prime? True Let q(n) be the third derivative of -4/3*n**3 + 0 - 2*n**2 + 1/30*n**5 + 5/24*n**4 + 0*n. Is q(6) a composite number? True Let p(a) be the second derivative of -a**4/12 + 3*a**2/2 - 17*a. Let b be p(0). Suppose 0 = -4*c + 5*o + 298, -b*o + 47 - 118 = -c. Is c a composite number? True Let m(z) = -z + 6. Let k be m(2). Suppose -1 + k = -c. Is 2/c*(-306)/4 + -2 composite? True Let m = 1425537 + -491654. Is m composite? False Let r(a) = 20*a**2 - 8*a - 2*a**3 + 3*a**3 - 10 - 26*a**2. Let s be r(8). Is (2 + 7/(-2))/(s/(-12708)) composite? False Suppose -16085 - 21086 = -14*z - 617. Is z a prime number? False Suppose -360*a = -361*a + 982. Is a*((-21)/(-6))/7 a prime number? True Let a be (2 + 16/(-3))/((-52)/725790). Let c = a - 24348. Is c composite? True Suppose 35*v - 230 = -510. Let i(r) be the third derivative of -41*r**4/8 - 17*r**3/6 - r**2. Is i(v) a prime number? True Suppose 28*v - 15318631 = 23*v - 2*b, -5*v + 15318637 = -b. Is v composite? False Let i be (-1 + -1984)/(-8 + 7). Let m be i/3 + 2*(-3)/(-18). Suppose -5*l = -8197 + m. Is l prime? False Suppose 0 = 4*p - 2*t - 2478, -4*p - 3*t = -0*t - 2453. Suppose 2*d - p = 4543. Is (6/(-2) - -4) + d a composite number? True Let y(n) = 21*n + 7. Let a(v) = -11*v - 3. Let d(i) = 10*a(i) + 4*y(i). Let h be d(-1). Suppose h*j = 29*j - 1855. Is j composite? True Let s(k) = k**3 - 5*k**2 + 67*k + 31547. Is s(0) composite? False Suppose -4*v = -3*f - 650, -f = -2*v + v + 217. Let x = -163 - f. Is x a prime number? False Suppose 57*w - 2252346 = 2787651. Is w a composite number? True Suppose -3*c = -5*m - 2*c - 3129, -c = 3*m + 1871. Let f = 2964 - m. Is f a composite number? True Suppose 3*h = -c - 2, -3*c - 4*h = -2*h - 1. Is 3845/(3 + -3 + c) composite? True Let y(m) = 3*m**2 - 21*m - 11. Let s(o) = -4*o**2 - 12*o - 3*o - 21 - 28*o + 11*o**2. Let l(c) = 2*s(c) - 5*y(c). Is l(9) prime? True Suppose -y - u = -178363, 229*y - 227*y + 3*u = 356728. Is y prime? True Let f(w) = 350*w**2 + w + 3. Let j be f(3). Suppose -j + 1061 = -5*h. Is h a composite number? False Let j be (-2364)/(-42)*1*7. Suppose 3*y + 7*v = 10*v + 276, 0 = 3*v - 15. Let o = y + j. Is o prime? True Suppose 24901 - 3625 = 6*r. Suppose -12 = 3*p, -p - p = 2*h - r. Is h a composite number? False Is (-96)/(-72)*(-1535412)/(-16) composite? False Suppose 2*m - 23098 = -2*i, 3*i + 2*m + 14718 - 49365 = 0. Is i a prime number? True Let f = 1 + 2. Let x(j) = 1419*j + 167. Let z be x(4). Suppose -f*s - 608 = -z. Is s prime? False Let a = -13703 - -66286. Is a a composite number? False Suppose 4*y - 3*f + 746 = 19782, -2*f = -2*y + 9514. Is y a composite number? True Suppose -d + 8*k + 28590 = -8553, -2*d - 2*k + 74322 = 0. Is d composite? False Suppose -27*l - 393124 = -1298353. Is l prime? False Let d = -421 - -426. Suppose 0*m - 14164 = -d*q + 3*m, 2*q - m = 5665. Is q a composite number? True Let q(a) = 53*a**3 - 32*a**2 - 27*a + 19. Is q(18) composite? False Let t(c) = 3*c**2 - 31*c + 16979. Is t(0) a prime number? True Suppose 2*r + n = -2, -5*n + 26 = -5*r + 3*r. Let y be (r/6)/(-1 - 23540/(-23536)). Let u = -609 - y. Is u prime? True Suppose 125066 = u - 107811. Is u prime? True Let w(p) = -p**2 + 13*p + 2. Let f be w(13). Suppose -137 = -3*x - 2*h, -f*x = -x - 5*h - 23. Let o = 1728 - x. Is o a composite number? True Let d be (-2)/3 - 152/(-12). Is ((-3)/(d/(-998)))/((-14)/(-476)) a prime number? False Suppose 95 = -10*g + 145. Suppose 0 = -g*u - 3*h + 21451, -4*u + 17148 = -2*h - 2*h. Is u a prime number? True Is (-1185)/(-6)*11798/85 prime? False Suppose -170 = 4*w - 5*w + 3*c, w + 5*c - 138 = 0. Suppose -w + 5 = -9*s. Suppose s*t - t - 14224 = 0. Is t a prime number? False Suppose -u = 4*k - 2258 - 73, 0 = -5*k + 3*u + 2935. Suppose -4*i - k + 9396 = 0. Is i composite? False Let o(a) = 467*a**2 - a + 1. Let l = 402 - 399. Is o(l) composite? False Suppose -2*x - 39 = 9. Let n = x + 31. Suppose -n*s + 2018 + 6305 = 0. Is s a prime number? False Let n(q) = -q + 21. Let h be n(17). Suppose -h*w - 4*l = -5280, -l = -3 + 2. Is w a prime number? True Suppose -4*h = q - 9, 6 = 2*q - q + h. Suppose 0 = -d + 3*d - 530. Suppose -m + q*x = -d, m + 4*m - 1325 = x. Is m prime? False Suppose -61914 + 93682 = -11*j. Let u be (0 + -2078)/(4/(-10)). Let b = j + u. Is b a composite number? True Let d = -161558 - -355571. Suppose 12*r = -33441 + d. Is r composite? False Let y(d) = 195*d**3 + d**2 + 14*d + 3. Let i(n) = n**2 + 2. Let b(o) = -6*i(o) + y(o). Is b(2) a composite number? False Suppose 2443 = 4*o - 23157. Let t = o + -3299. Let d = -1642 + t. Is d a composite number? False Suppose -b + 4*c = -16745 - 9454, c - 130890 = -5*b. Is b prime? False Suppose -90*f = -84*f + 24. Is ((-5373858)/(-207))/(f/(-6)) composite? True Let u be 13/8 + 30/80. Suppose 3*p = 4*p - 2*g - 87, -172 = -2*p + u*g. Is p a prime number? False Let t(z) = -39*z**2 - 12*z + 27. Let o be t(2). Is -2 - (1615255/o - (-4)/18) composite? True Let w = -312743 - -457714. Is w a prime number? False Suppose -16*c - 5*r + 476930 = -11*c, 95351 = c - 4*r. Is c composite? True Let i = -62307 - -139624. Is i prime? True Suppose -2*y - 5*u + 8*u - 1444 = 0, 0 = 4*y - 3*u + 2882. Let l = y - -3078. Is l prime? False Suppose 0 = 2*v + f - 6 - 10, 3*v + 2*f = 25. Let h = 337 - 326. Suppose v*m - h*m = -2692. Is m a composite number? False Let i = -126044 - -261087. Is i prime? True Is -4 + 9 - (-30)/(-3) - -27091*2 a prime number? False Let j(m) be the second derivative of m**3/6 - m**2 - 5*m. Let r be j(4). Suppose 4*d + r*d = 5190. Is d prime? False Let o = -77477 + 119026. Is o prime? True Let r(x) = -24*x**3 + 495*x**2 + 69*x + 33. Let c(z) = 8*z**3 - 165*z**2 - 23*z - 11. Let n(b) = -17*c(b) - 6*r(b). Is n(23) a prime number? True Let p(u) = 14584*u + 815. Is p(2) a composite number? False Let i be (1148/49)/(-2) + 2/(-7). Is (1 - -1)*412*i/(-96) a prime number? True Suppose 1779792 = -30*f + 42*f. Is f/(-70)*((-3)/2 - 1) composite? False Let i be (36 - 29)*4/7. Suppose -i*k - 2*t + 7012 = 0, 5*k = -4*t - 662 + 9427. Is k composite? False Let z(r) = -29*r. Let s(u) = 87*u - 1. Let l(k) = 2*s(k) + 7*z(k). Let m be l(-6). Suppose -5*y + 5*x + 430 = 0, -4*y = -2*y - 3*x - m. Is y a prime number? False Is 8 + (-1361)/(-3)*147 prime? True Let s be (-6)/(6/51 - (-2756)
{ "pile_set_name": "DM Mathematics" }
0 - q**4/4 - q**3/2 - q - 111. Let d(c) = 0. Calculate c. -1, 0, 1 Let u(j) = -2*j**3 - 3*j**2 + 10*j - 9. Let z be u(-6). Let o be 4/(-18) - z/(-540). Solve 1/4*r**2 + 0 - o*r = 0. 0, 1 Let x(g) be the first derivative of -g**3/15 - 2*g**2/5 - 3*g/5 + 306. Factor x(w). -(w + 1)*(w + 3)/5 What is w in -16594*w - 12 - 6 + 18*w**2 + 21*w**3 + 16573*w = 0? -1, -6/7, 1 Suppose -11*g + 11536 = -3*g. Let m be g/238 + (-1 - 4). Factor -54/17*k**2 - 2/17*k**4 + m*k**3 + 54/17*k + 0. -2*k*(k - 3)**3/17 Let 2*o**2 - 135*o + 20 + 32*o + 35*o + 46*o = 0. What is o? 1, 10 Let o = 214 - 209. Let c(a) be the third derivative of 0*a**3 + a**2 + 0 + 0*a + 0*a**4 - 1/180*a**o. Factor c(q). -q**2/3 Let g = 1/2315 - -4623/16205. Suppose 0 + 8/7*t**2 - 8/7*t - g*t**3 = 0. What is t? 0, 2 Let q(o) = -o**3 - o**2. Let t = 41 + -40. Let g(s) = -s**3 - s**2. Let j(v) = t*q(v) - 6*g(v). Determine p so that j(p) = 0. -1, 0 Let u(y) be the first derivative of 0*y - 3/40*y**5 - 1 + 0*y**2 + 2*y**3 + 0*y**4 + 1/24*y**6. Let a(f) be the third derivative of u(f). Factor a(n). 3*n*(5*n - 3) Let r(n) = 20*n - 314. Let w be r(16). Let u(f) be the second derivative of 0 + w*f - 3/40*f**5 + 0*f**2 - 1/24*f**4 + 1/6*f**3. Let u(m) = 0. What is m? -1, 0, 2/3 Let 43*i - 117*i**2 + 68*i - i**2 + 10 - 38 + 38*i**2 - 3*i**3 = 0. Calculate i. -28, 1/3, 1 Let r(z) be the first derivative of z**7/840 + z**6/480 - z**5/60 - z**4/24 - 3*z**2 - 4*z + 51. Let h(l) be the second derivative of r(l). Factor h(b). b*(b - 2)*(b + 1)*(b + 2)/4 Let r(t) be the first derivative of 1/28*t**4 + 40/7*t**2 - 100/7*t + 19/21*t**3 - 52. Find b such that r(b) = 0. -10, 1 Let f(y) be the second derivative of y**9/5040 - y**7/840 + 3*y**4/4 - 4*y. Let j(b) be the third derivative of f(b). Factor j(g). 3*g**2*(g - 1)*(g + 1) Let c(h) be the first derivative of -55/8*h**4 + 253/9*h**3 - 15/2*h**5 + 4/3*h + 38 - 31/3*h**2. What is x in c(x) = 0? -2, 2/15, 1 Let k(u) be the first derivative of u**9/3024 - u**8/1120 + u**7/1680 - 8*u**3/3 + 1. Let b(a) be the third derivative of k(a). Suppose b(x) = 0. Calculate x. 0, 1/2, 1 Let u = 2585 - 43943/17. Find i such that 2/17*i**4 - u*i**5 + 0*i + 0 - 2/17*i**2 + 2/17*i**3 = 0. -1, 0, 1 Let p(a) be the third derivative of a**9/161280 - a**8/53760 + a**5/3 - 37*a**2. Let z(g) be the third derivative of p(g). Factor z(c). 3*c**2*(c - 1)/8 Let a(h) be the third derivative of h**7/42 - h**6/6 + h**5/4 + 2*h**2 + 94*h. Let a(x) = 0. Calculate x. 0, 1, 3 Let o = -1 - 2. Let z(m) = -4*m + 3. Let g be z(o). Solve 8 + 3*j**2 + 40 + 9*j + g*j = 0. -4 Let a = 143 + -138. Determine j, given that -9*j**5 - 6*j**5 + 11*j**a + 0*j**5 + 16*j**4 - 20*j**3 + 8*j**2 = 0. 0, 1, 2 Let b(t) be the first derivative of -t**6/20 + 3*t**5/20 - t**4/8 - 10*t - 10. Let h(s) be the first derivative of b(s). Determine d, given that h(d) = 0. 0, 1 Let z(s) = -4*s**2 - 56*s - 5. Let t(b) = -4*b**2 - 53*b - 6. Let n(r) = -5*t(r) + 4*z(r). Suppose n(j) = 0. What is j? -10, -1/4 Suppose 13 = 4*a - 3, -2*j + 16 = 2*a. Let i(r) be the second derivative of 1/4*r**j + 3*r**2 + 3/2*r**3 + 5*r + 0. Factor i(l). 3*(l + 1)*(l + 2) Let p(q) = 156*q**3 + 80*q**2 - 16*q + 7. Let r = -99 + 93. Let y(i) = 156*i**3 + 80*i**2 - 16*i + 6. Let t(x) = r*p(x) + 7*y(x). Factor t(f). 4*f*(3*f + 2)*(13*f - 2) Let v(y) be the first derivative of y**7/70 - 7*y**6/90 + 2*y**4/3 + 4*y**3/3 + 43. Let t(i) be the third derivative of v(i). Solve t(l) = 0. -2/3, 1, 2 Suppose 24/11*n**2 - 60/11*n**3 + 34/11*n**4 + 0 + 16/11*n - 6/11*n**5 = 0. Calculate n. -1/3, 0, 2 Factor 3/2*g**2 - 53/2 - 79*g. (g - 53)*(3*g + 1)/2 Let x(q) be the first derivative of 5/4*q**4 + 11 + 0*q + 0*q**2 + 5*q**3. Suppose x(r) = 0. Calculate r. -3, 0 Suppose -s = -5*g + 193, -462 = 3*s - 5*g + 137. Let m be (-3)/30*(7 + s/14). Factor 0 + 1/4*c**4 + 0*c**2 + m*c**3 - c. c*(c - 1)*(c + 2)**2/4 Let a(d) be the second derivative of -d**6/60 + d**5/10 - d**4/8 - d**3/3 + d**2 + 57*d - 2. Solve a(t) = 0. -1, 1, 2 Let p = 5/114 + 299/114. Find c, given that -4*c**2 + 0 + 4*c**3 + p*c**4 - 8/3*c = 0. -2, -1/2, 0, 1 Factor 396*l - 222*l**2 + 19 - 3*l**4 - 5*l**3 - 23 - 212 + 50*l**3. -3*(l - 6)**2*(l - 2)*(l - 1) Let s(m) be the first derivative of 0*m + 1/3*m**3 - 1/4*m**2 + 0*m**4 + 3 - 1/5*m**5 + 1/12*m**6. What is c in s(c) = 0? -1, 0, 1 Suppose -5*n - 20 = -5*p + 4*p, -3*n = 9. Let w = 5 - p. Find m such that w*m**2 - 6*m**3 + 2*m**2 + 4*m**3 = 0. 0, 1 Let z = -6 - -8. Factor -4*o - 2*o - 4*o**2 + 4*o + 2*o**z. -2*o*(o + 1) Let z = -74 - -77. Let p be 2*z/(-20)*-2. Factor -p*h + 3/5*h**2 + 0. 3*h*(h - 1)/5 Let m(d) be the first derivative of 4 + 0*d + 4/3*d**6 + 0*d**2 + 7*d**4 - 8/3*d**3 - 28/5*d**5. Suppose m(f) = 0. Calculate f. 0, 1/2, 1, 2 Let a(j) = j**2 - 1. Let n(m) = -m**2 + 3. Let y(z) = -2*a(z) - n(z). Let g(b) = 2*b**2 + 4. Let l(q) = -2*g(q) - 6*y(q). Factor l(u). 2*(u - 1)*(u + 1) Let h(b) be the first derivative of b**4 + 40*b**3/3 + 50*b**2 - 6. Factor h(x). 4*x*(x + 5)**2 Let u(y) = -y**2 - 1. Let a(k) = -k**3 - 7. Let p(l) = a(l) - 3*u(l). Let c be p(2). Factor m**2 - 2/3*m - 1/3*m**3 + c. -m*(m - 2)*(m - 1)/3 Let r(t) be the second derivative of t**5/30 - t**4/3 + 8*t**3/9 + t - 21. Determine k so that r(k) = 0. 0, 2, 4 Let t(u) = -16*u**4 - 238*u**3 + 23*u**2 + 662*u - 451. Let v(g) = -23*g**4 - 356*g**3 + 34*g**2 + 994*g - 677. Let f(k) = -7*t(k) + 5*v(k). Factor f(i). -3*(i - 1)**2*(i + 2)*(i + 38) Let a(r) be the first derivative of 1/2*r**4 - 2/3*r**3 - 8 + 2/5*r**5 + 0*r - r**2. Find k such that a(k) = 0. -1, 0, 1 Let l be (90/(-50))/(45/(-30)). Factor -2/5*m**3 + 0 + 0*m - l*m**2. -2*m**2*(m + 3)/5 Let t be (-91)/(-440) + (-10)/55. Let w(k) be the third derivative of t*k**4 - 1/200*k**6 - 1/15*k**3 + 1/150*k**5 + 0*k + k**2 + 0. Factor w(r). -(r - 1)*(r + 1)*(3*r - 2)/5 Let j(c) = -5 + 0*c - 2*c - 9 + 11*c. Let x be j(2). Determine v so that 0 - 3/4*v**3 + 3/4*v**5 + 1/2*v**2 - 1/2*v**x + 0*v = 0. -1, 0, 2/3, 1 Let m be 12/(-3) + 0 - -7. Factor 90*r**m + r**5 + 8*r**4 + 4*r**5 - 100*r**2 - 43*r**4 + 40*r. 5*r*(r - 2)**3*(r - 1) Let r(d) = d**3 + 7*d**2 + d. Let n be r(-6). Find o such that 2*o**2 - 5*o - 3*o**2 + 0*o + 6*o**2 - n = 0. -2, 3 Let i be ((-168)/(-198)*9/2)/(-1 - -2). Factor -i*n + 36/11 + 6/11*n**3 + 0*n**2. 6*(n - 2)*(n - 1)*(n + 3)/11 Let m(o) be the third derivative of o**8/1260 - 37*o**7/1575 + 179*o**6/900 - 7*o**5/50 - 9*o**4/20 + 97*o**2. Let m(p) = 0. Calculate p. -1/2, 0, 1, 9 Let u(m) be the third derivative of m**5/240 - 5*m**4/48 - 11*m**3/24 - 23*m**2 + 3. What is x in u(x) = 0? -1, 11 Determine d, given that 2/11*d**3 + 222/11*d**2 - 6272/11 + 6048/11*d = 0. -56, 1 Let c(p) be the first derivative of p**3/9 + 5*p**2/6 - 12*p - 300. Factor c(m). (m - 4)*(m + 9)/3 Factor -1/6*b**2 - 1083/2 + 19*b. -(b - 57)**2/6 Let y(i) be the third derivative of -1587*i**5/130 - 23*i**4/26 - i**3/39 - 248*i**2. Factor y(s). -2*(69*s + 1)**2/13 Let g = 36 + -15. What is h in -1 + 3*h**4 - g*h + 16*h - 12*h**3 - 11 + 17*h + 9*h**2 = 0? -1, 1, 2 Let g(v) be the first derivative of v**6/40 + 3*v**5/20 - 2*v**3 - 2*v**2 + 19. Let o(q) be the second derivative of g(q). Let o(y) = 0. What is y? -2, 1 Let a be 2/((-9)/(135/(-2))). Suppose a = -4*t + 27. Let -12*f**3 + 12*f**5 - f**3 + 2*f**4 + 4*f**t - 3*f**4 - 2*f**2 = 0. What is f? -2/3, -1/4, 0, 1 Let v(d) = -2*d**2 + 11*d + 9. Let u be v(6). Factor -13*w**3 - 17*w**3 + 3*w**4 + 30*w**2 - u*w**3. 3*w**2*(w - 10)*(w - 1) Let x be (-3 + -2 - -5)/1. Let n(b) be the third derivative of 0*b**3 + 2*b**2 - 1/60*b**5 + x + 0*b - 1/96*b**4. Solve n(y) = 0. -1/4, 0 Let h(g) be the second derivative of -15*g + 1/96*g**4 + 1/4*g**2 + 0 - 5/48*g**3. Factor h(s). (s - 4)*(s - 1)/8 Let c(s) = -3*s + 1. Let a be c(-1). Let r be (-27 - 0)/((-3)/a). Solve 3*p**2 - 27*p**4 - 3*p**5 - 9*p**3 + 1 - 1 + r*p**4 = 0. 0, 1 Let r(g) = -g + 4. Let f be r(-3). Suppose -4 = 3*l - f*l. Find t, given that 0 - 2*t + t + l - 3 + t**2 = 0. -1, 2 Let a(r) be the third derivative of -r**6/240 - r**5/5 - r**2 + 79. Factor a(k). -k**2*(k + 24)/2 Suppose 13814*t - 6 = 13811*t. Factor -5/3 + 2*q - 1/3*q**t. -(q - 5)*(q - 1)/3 Find p, given that 96/7 + 104/7*p + 32/7*p**2 + 2/7*p**3 = 0. -12, -2 Let y(j) be the seco
{ "pile_set_name": "DM Mathematics" }
*3/4 - 413*t**2/4 + 2505*t/4 - 3771/4 = 0 for t. -419, 3 Let -2*h**4/3 + 46*h**3 = 0. What is h? 0, 69 Factor -5*p**5 - 505*p**4 - 2445*p**3 - 4355*p**2 - 3370*p - 960. -5*(p + 1)**3*(p + 2)*(p + 96) Determine b so that 5*b**2/4 + 975*b/2 + 190125/4 = 0. -195 Suppose 39*q**5 - 123*q**4 - 1425*q**3 - 1065*q**2 + 3006*q - 432 = 0. What is q? -3, 2/13, 1, 8 Factor -3*g**2 + 9*g + 12. -3*(g - 4)*(g + 1) Factor -3*j**2/7 + 1212*j/7. -3*j*(j - 404)/7 Factor -5*w**4 - 75*w**3 - 245*w**2 - 285*w - 110. -5*(w + 1)**2*(w + 2)*(w + 11) Determine k, given that -3*k**3/8 - 21*k**2 - 159*k/2 - 78 = 0. -52, -2 Suppose -324*m**3 + 157932*m**2 - 70144*m + 7792 = 0. What is m? 2/9, 487 Determine x, given that -27*x**4 + 282*x**3 - 3289*x**2/3 + 1880*x - 1200 = 0. 20/9, 3 Determine l so that -10*l**5 - 116*l**4 + 1038*l**3 - 2016*l**2 + 648*l = 0. -18, 0, 2/5, 3 Factor 8*d**4 - 18*d**3 - 69*d**2 - 52*d - 9. (d + 1)**2*(2*d - 9)*(4*d + 1) Find k, given that -k**2/2 + 9*k/2 = 0. 0, 9 Find s such that 8978*s**3/11 + 9782*s**2/11 + 822*s/11 + 18/11 = 0. -1, -3/67 Factor q**3/5 + 34*q**2 + 7052*q/5 - 14792/5. (q - 2)*(q + 86)**2/5 Suppose -q**4/3 - 2*q**3 + q**2/3 + 2*q = 0. Calculate q. -6, -1, 0, 1 Factor 3*k**3/2 + 213*k**2/2 + 2433*k/2 + 2223/2. 3*(k + 1)*(k + 13)*(k + 57)/2 Solve 2*s**2/9 - 20*s/9 + 16/3 = 0 for s. 4, 6 What is q in -3*q**4 + 24*q**3 + 405*q**2 + 918*q = 0? -6, -3, 0, 17 Suppose h**2 - 9*h + 8 = 0. What is h? 1, 8 Find l such that l**2/4 + 7*l/4 - 15/2 = 0. -10, 3 Factor a**3 - 27*a**2 - 120*a - 124. (a - 31)*(a + 2)**2 Find f such that -4*f**4 - 40*f**3 - 68*f**2 + 112*f = 0. -7, -4, 0, 1 Factor 3*q**3 + 12*q**2 - 9*q - 54. 3*(q - 2)*(q + 3)**2 Factor 1470*a**2 - 406*a - 4. 2*(7*a - 2)*(105*a + 1) Solve 5202*q**2 - 4080*q + 800 = 0 for q. 20/51 Let 2*k**4/5 - 54*k**3 + 9242*k**2/5 - 8442*k/5 - 17956/5 = 0. Calculate k. -1, 2, 67 Let -8*w**4/7 + 20*w**3/7 + 44*w**2/7 + 16*w/7 = 0. Calculate w. -1, -1/2, 0, 4 Let -4*k**2 - 1460*k = 0. Calculate k. -365, 0 Determine k, given that -2*k**3 - 28*k**2 + 202*k + 228 = 0. -19, -1, 6 Suppose o**3/2 - 283*o**2/2 + 140*o + 282 = 0. What is o? -1, 2, 282 Factor 5*g**3 + 4935*g**2 - 4940*g. 5*g*(g - 1)*(g + 988) Factor 4*g**4 + 28*g**3 + 40*g**2. 4*g**2*(g + 2)*(g + 5) Find v such that 5*v**3 - 1630*v**2 + 134460*v - 262440 = 0. 2, 162 Factor 2*h**2/7 - 1428*h + 1784286. 2*(h - 2499)**2/7 Find u, given that -u**2 + 9162*u - 20985561 = 0. 4581 Factor -3*z**3/5 - 48*z**2/5. -3*z**2*(z + 16)/5 Factor 15*x**3 + 28*x**2 + 11*x - 2. (x + 1)**2*(15*x - 2) Factor c**2/4 - 85*c + 169. (c - 338)*(c - 2)/4 Determine l so that 2*l**2/13 + 5400*l/13 + 3645000/13 = 0. -1350 Factor -4*z**2 + 9368*z - 5484964. -4*(z - 1171)**2 Suppose -5*i**2 + 1250*i - 78125 = 0. What is i? 125 Determine u so that -u**2/6 + 38*u/3 - 25/2 = 0. 1, 75 Suppose -21*t**3/2 - 585*t**2/8 - 459*t/4 + 39 = 0. Calculate t. -4, -13/4, 2/7 Factor 4*r**2 - 232*r + 448. 4*(r - 56)*(r - 2) Solve -u**4/4 + u**3/2 + 15*u**2/4 = 0 for u. -3, 0, 5 Suppose -5*z**3 + 18*z**2 - 12*z - 8 = 0. Calculate z. -2/5, 2 Factor 22*n**3/9 - 106*n**2/9 - 152*n/9 - 8/3. 2*(n - 6)*(n + 1)*(11*n + 2)/9 Find m such that -2*m**4/19 + 1830*m**3/19 - 21984*m**2 - 419528*m/19 = 0. -1, 0, 458 What is p in -4*p**2 + 264*p - 512 = 0? 2, 64 Factor -2*b**3/11 - 28*b**2/11 - 120*b/11 - 144/11. -2*(b + 2)*(b + 6)**2/11 Factor 2*s**3/3 + 52*s**2/3 + 338*s/3. 2*s*(s + 13)**2/3 Factor -7*o**2/8 - 11*o/8 + 15/4. -(o + 3)*(7*o - 10)/8 Find g such that g**3 - 139*g**2 + 274*g = 0. 0, 2, 137 Determine d so that -4*d**3 + 4*d**2 + 148*d + 140 = 0. -5, -1, 7 Factor 2*i**3/13 - 30*i**2/13 - 32*i/13. 2*i*(i - 16)*(i + 1)/13 Factor -5*n**3 + 710*n**2 - 705*n. -5*n*(n - 141)*(n - 1) Suppose 9*q**3 - 3873*q**2 + 1290*q = 0. What is q? 0, 1/3, 430 What is p in p**4/6 - 19*p**3/6 - 25*p**2/6 + 103*p/6 - 10 = 0? -3, 1, 20 Factor -6*x**3/5 - x**2/10. -x**2*(12*x + 1)/10 Determine o so that 10*o**4 + 575*o**3 - 885*o**2 + 5*o + 295 = 0. -59, -1/2, 1 Factor 5*y**3/2 - 70*y**2 - 625*y/2 - 240. 5*(y - 32)*(y + 1)*(y + 3)/2 Factor -2*b**2/5 + 284*b/5 - 112. -2*(b - 140)*(b - 2)/5 Factor -5*y**5 + 50*y**3 + 100*y**2 + 75*y + 20. -5*(y - 4)*(y + 1)**4 Factor -8*h**2 - 220*h - 1148. -4*(h + 7)*(2*h + 41) What is n in -6*n**3 + 28*n**2 - 14*n - 8 = 0? -1/3, 1, 4 What is c in -2*c**3/7 - 6*c**2/7 + 48*c/7 + 160/7 = 0? -4, 5 Solve -2*x**5 + 86*x**4 - 78*x**3 - 254*x**2 + 80*x + 168 = 0 for x. -1, 1, 2, 42 Factor -3*q**3 + 3*q. -3*q*(q - 1)*(q + 1) Factor -b**5 - 52*b**4 - 870*b**3 - 4788*b**2 - 3969*b. -b*(b + 1)*(b + 9)*(b + 21)**2 Factor 63*j**3/2 + 22*j**2 - 59*j/6 - 1/3. (j + 1)*(3*j - 1)*(63*j + 2)/6 Factor -2*b**3 + 21*b**2 + 38*b - 24. -(b - 12)*(b + 2)*(2*b - 1) Factor -2*k**4 + 24*k**2 - 32*k. -2*k*(k - 2)**2*(k + 4) Determine h, given that h**2 - 7*h - 30 = 0. -3, 10 Let -2*p**5/5 - 42*p**4/5 - 36*p**3/5 + 16*p**2 = 0. What is p? -20, -2, 0, 1 What is c in -4*c**2/3 - 104*c - 2028 = 0? -39 Factor 4*s**4/5 - 20*s**3 + 272*s**2/5 - 176*s/5. 4*s*(s - 22)*(s - 2)*(s - 1)/5 Factor 4*n**2 + 23400*n + 34222500. 4*(n + 2925)**2 Suppose -c**4/3 + 13*c**3/3 + 19*c**2 - 149*c/3 + 80/3 = 0. What is c? -5, 1, 16 Solve -80*k**5 - 2*k**4 = 0. -1/40, 0 Find b, given that b**2/4 - b/2 - 6 = 0. -4, 6 Factor -3*c**2 + 147*c - 144. -3*(c - 48)*(c - 1) Suppose 25*n**5 + 5*n**4 - 75*n**3 - 65*n**2 - 10*n = 0. What is n? -1, -1/5, 0, 2 What is s in 2*s**3/9 - 10*s**2 + 352*s/3 - 968/9 = 0? 1, 22 Factor -26037*n**2/4 - 1200*n - 3. -3*(11*n + 2)*(789*n + 2)/4 Suppose -t**2/4 + 507*t/4 - 1255/2 = 0. Calculate t. 5, 502 Let -125*d**3/3 - 4025*d**2/3 + 3280*d/3 - 220 = 0. What is d? -33, 2/5 Factor -3*p**4 - 114*p**3 - 513*p**2 - 594*p. -3*p*(p + 2)*(p + 3)*(p + 33) Factor 1944*u**3 + 3168*u**2 + 1230*u - 50. 2*(6*u + 5)**2*(27*u - 1) Factor 4*b**4 - 4*b**3 - 48*b**2 - 16*b + 64. 4*(b - 4)*(b - 1)*(b + 2)**2 Solve -s**5/4 + s**4/2 + 17*s**3/4 - 17*s**2/2 - 4*s + 8 = 0. -4, -1, 1, 2, 4 Factor 3*s**3/5 + 219*s**2 + 100464*s/5 + 99372/5. 3*(s + 1)*(s + 182)**2/5 Let -9*w**3/5 - 354*w**2/5 - 87*w/5 + 234 = 0. Calculate w. -39, -2, 5/3 Factor f**2 + 1349*f - 1350. (f - 1)*(f + 1350) Find p, given that 12*p**3/11 - 10*p**2/11 - 74*p/11 - 12/11 = 0. -2, -1/6, 3 Solve -2*f**3 + 14*f**2 + 120*f = 0 for f. -5, 0, 12 Solve 2*i**5/9 - 2*i**4/9 - 26*i**3/9 + 26*i**2/9 + 8*i - 8 = 0. -3, -2, 1, 2, 3 Let 5*r**5 - 35*r**4 + 50*r**3 + 10*r**2 - 55*r + 25 = 0. Calculate r. -1, 1, 5 Suppose 2*j**2/7 + 26*j/7 - 180/7 = 0. What is j? -18, 5 Let -25*d**2 + 320*d - 1024 = 0. What is d? 32/5 Find c such that -2*c**5/15 + 4*c**4/3 + 6*c**3 - 28*c**2/3 - 208*c/15 = 0. -4, -1, 0, 2, 13 Solve -4*w**3 + 288*w**2 - 5460*w + 9800 = 0. 2, 35 What is b in -b**2/7 + 263*b/7 - 262/7 = 0? 1, 262 Factor v**3/3 - 43*v**2/3 + 102*v. v*(v - 34)*(v - 9)/3 Solve k**5/8 - 9*k**4/8 - 101*k**3/8 + 477*k**2/8 - 155*k/2 + 63/2 = 0 for k. -9, 1, 2, 14 Solve 2*l**3/17 + 66*l**2/17 + 64*l/17 = 0. -32, -1, 0 Determine f so that 2*f**4/9 + 14*f**3/9 - 2*f**2/9 - 14*f/9 = 0. -7, -1, 0, 1 Factor 4*j**3 + 1744*j**2 + 186560*j - 774400. 4*(j - 4)*(j + 220)**2 Suppose l**2 - 12*l + 36 = 0. Calculate l. 6 Let -2*d**3 + 726*d**2 - 87846*d + 3543122 = 0. Calculate d. 121 Suppose -m**2/3 - 130*m/3 - 4225/3 = 0. Calculate m. -65 Suppose 2*j**2 - 80*j - 168 = 0. What is j? -2, 42 Solve 14*p**3/9 - 176*p**2/3 + 856*p/9 + 32 = 0 for p. -2/7, 2, 36 Suppose 1545282*j**3/7 - 7032*j**2/7 + 8*j/7 = 0. Calculate j. 0, 2/879 Find k such that -4*k**2/9 - 4*k/3 + 112/9 = 0. -7, 4 Factor 5*w**2/2 - 83*w/2. w*(5*w - 83)/2 Factor -5*g**4 - 90*g**3 + 5*g**2 + 90*g. -5*g*(g - 1)*(g + 1)*(g + 18) Suppose s**5/4 - 7*s**4/4 + 5*s**3/4 + 7*s**2/4 - 3*s/2 = 0. What is s? -1, 0, 1, 6 Solve 2*x**5/7 + 6*x**4/7 - 10*x**3/7 - 54*x**2/7 - 64*x/7 - 24/7 = 0. -2, -1, 3 Find y such that -3*y**2 - 14118*y - 16609827 = 0. -2353 Factor n**4/5 + 8*n**3/5 - 4*n**2. n**2*(n - 2)*(n + 10)/5 Factor -3*s**4 - 21*s**3 + 198*s**2 - 444*s + 312. -3*(s - 2)**3*(s + 13) What is x in 49*x**5/4 - 2569*x**4/4 + 9839*x**3/4 + 699949*x**2/4 + 99330*x + 14157 = 0? -13, -2/7, 33 Determine u so that -u**4/4 + 25*u**3/4 + 27*u**2/2 = 0. -2, 0, 27 Factor -215*j**3 + 10*j**2. -5*j**2*(43*j - 2) Factor -d**2/12 + 1493*d/4 - 2239/6. -(d - 4478)*
{ "pile_set_name": "DM Mathematics" }
*4 + 0*s**2 - 33*s. Factor f(u). 3*u*(u - 1)*(u + 2)/7 Let u(k) be the first derivative of -2*k**3/3 - 11*k**2 + 120*k - 276. Solve u(b) = 0 for b. -15, 4 Let m(p) be the third derivative of 3*p**2 + 3/70*p**5 - 1/168*p**6 - 1/14*p**4 + 0 + 0*p - 4/21*p**3. Factor m(t). -(t - 2)**2*(5*t + 2)/7 Let u = 32 - 27. Factor 6 - 16 + u*k**4 - 10*k + 5 + 10*k**3. 5*(k - 1)*(k + 1)**3 Suppose 0*c = -4*c + 12. Suppose -8 = -5*p + 2*h - 2, 3*p - h = c. Factor p - 1/5*t**2 + 1/5*t. -t*(t - 1)/5 Let -58*d - 2*d**2 - d**2 - 46*d + d**2 + 103 + 3*d**2 = 0. Calculate d. 1, 103 Let s(g) be the third derivative of -g**6/288 - g**5/48 + 5*g**4/32 + 23*g**3/6 + 22*g**2. Let k(p) be the first derivative of s(p). Factor k(d). -5*(d - 1)*(d + 3)/4 Let s(b) = 7*b**3 + 3*b**2 - 12*b - 11. Let z(c) = -6*c**3 - 2*c**2 + 12*c + 10. Let m be -4 + (2 - 4 - -3). Let a(l) = m*z(l) - 2*s(l). What is n in a(n) = 0? -1, 2 Let f(j) = 28*j**3 - j. Let o be f(-1). Let w = 42 + o. Factor 15 - 3 + a**2 + w*a + 3*a**2 + a. 4*(a + 1)*(a + 3) Suppose 5*l - 67 = -57. Let -10*g**4 - 15*g**3 + 2 - 5*g - 15*g**2 + 5*g**4 - l = 0. What is g? -1, 0 Let n(q) be the second derivative of -q**5/12 - q**4/4 + 17*q**3/18 - q**2/2 - q - 360. Factor n(y). -(y - 1)*(y + 3)*(5*y - 1)/3 Let w = 20 + -31. Let g = w + 22. Find t such that -11 + g - 2*t**2 = 0. 0 Solve 26/5*u**2 - 36/5*u - 32/5 = 0. -8/13, 2 Let l(t) = 4*t**2 - 56*t - 92. Let a(m) = -m**2 + 19*m + 31. Let u(n) = 16*a(n) + 5*l(n). Factor u(k). 4*(k + 3)**2 Suppose 0*x = 17*x. Let v(n) be the second derivative of -3/8*n**2 + 5*n - 3/40*n**5 + 3/16*n**4 + x*n**3 + 0. Factor v(t). -3*(t - 1)**2*(2*t + 1)/4 Factor -3*m + 52*m**2 + 56*m**2 - 106*m**2 + 27*m. 2*m*(m + 12) Let m(r) be the third derivative of -r**6/780 + 2*r**5/195 + r**4/39 - 16*r**3/39 - 145*r**2. Factor m(a). -2*(a - 4)*(a - 2)*(a + 2)/13 Let k(s) be the second derivative of 0 - 4/3*s**2 - 1/18*s**4 - 3*s + 5/9*s**3. Factor k(l). -2*(l - 4)*(l - 1)/3 Let s(m) be the first derivative of m**6/90 - 2*m**5/135 - m**4/54 + 6*m**2 + 2. Let j(c) be the second derivative of s(c). Factor j(q). 4*q*(q - 1)*(3*q + 1)/9 Let t = -41/1725 + 7/230. Let j(u) be the third derivative of -1/300*u**5 + 1/30*u**3 - 1/30*u**4 - 14*u**2 + 0 + 0*u + t*u**6. Let j(x) = 0. What is x? -1, 1/4, 1 Let y(d) be the first derivative of 3*d**2 - 8/5*d**5 - 5/9*d**6 - 4 + 4/3*d - 2/3*d**4 + 20/9*d**3. Find c such that y(c) = 0. -1, -2/5, 1 Let s(a) be the third derivative of a**5/60 + 3*a**4/8 + 13*a**3/6 - 8*a**2. Let z be s(-8). Factor -j**3 - j**2 - 2*j**5 + 0*j**z + j**4 + 3*j**5. j**2*(j - 1)*(j + 1)**2 Let m = 15347/15 - 5114/5. Let 0 + m*x**2 - 1/3*x = 0. What is x? 0, 1 Let x be (-32)/12 + -1 + 5. Let -x*l**3 + 0*l + 4/3*l**5 + 0*l**2 + 0*l**4 + 0 = 0. What is l? -1, 0, 1 Let b(q) = 20*q**2 + 32*q - 7. Let y(n) = n - 3. Let z(a) = 3*a - 8. Let f(v) = -5*y(v) + 2*z(v). Let j(c) = -b(c) - 3*f(c). Let j(k) = 0. Calculate k. -2, 1/4 Let l(t) be the first derivative of -t**6/2 - 9*t**5/5 - 3*t**4/2 + 2*t**3 + 9*t**2/2 + 3*t + 13. Suppose l(g) = 0. Calculate g. -1, 1 Let v(u) be the second derivative of 2/15*u**2 - 1/15*u**3 + 0 - 1/45*u**4 + 8*u. Factor v(r). -2*(r + 2)*(2*r - 1)/15 Let u = 141 + -77. Solve 3*k**3 - 40*k + 0*k**3 + u - 24*k - 4*k**4 + 13*k**3 = 0. -2, 2 Factor 4*j + 2*j**4 - 11*j**3 - 5*j**3 - 2*j**2 + 12*j**3. 2*j*(j - 2)*(j - 1)*(j + 1) Let c be 3/18*(-420)/12*9/(-15). Find o, given that -c*o**5 - o**4 + 7/2*o**3 + 0 + o**2 + 0*o = 0. -1, -2/7, 0, 1 Factor -4*k**4 - 4*k**5 + 2*k**5 - 4*k**4 + 0*k**4 + 6*k**5. 4*k**4*(k - 2) Let o be ((-4)/34 - 1508/2210)*40/(-144). Determine u so that -o*u**2 + 4/9*u + 2/3 = 0. -1, 3 Find q such that -8/13*q + 0 - 10/13*q**2 - 2/13*q**3 = 0. -4, -1, 0 Let i(q) be the second derivative of -q**7/252 + q**6/60 + 3*q**5/20 - 4*q**4/9 - 8*q**3/3 - 4*q - 18. Let i(f) = 0. Calculate f. -3, -2, 0, 4 Let u be 2*(20/(-8) - -4). Suppose -8 - 1 = -u*d. Factor 0*g**4 - g**3 + 2*g**4 + g**5 + g**2 - d*g**2. g**2*(g - 1)*(g + 1)*(g + 2) Find s, given that -2/5*s**2 - 12/5*s - 18/5 = 0. -3 Let i(d) be the second derivative of 0*d**2 - 1/14*d**7 - 3/5*d**6 + 6*d**3 + d**4 + 4*d - 27/20*d**5 + 0. Suppose i(p) = 0. Calculate p. -3, -2, 0, 1 Factor -2/9*f**5 + 0*f - 1600/9*f**2 + 76/9*f**4 - 640/9*f**3 + 0. -2*f**2*(f - 20)**2*(f + 2)/9 Let u(k) be the second derivative of k**7/42 - k**5/5 + k**4/6 + k**3/2 - k**2 + 29*k. Factor u(h). (h - 1)**3*(h + 1)*(h + 2) Let d(g) be the second derivative of -g**6/45 + g**5/15 - 2*g**3/9 + g**2/3 + 11*g. What is f in d(f) = 0? -1, 1 Let f = -6613/15 - -1325/3. What is t in -f*t + 4/5 + 1/5*t**2 = 0? 2 Let c(l) be the first derivative of -4*l - 1/3*l**3 - 7 - 2*l**2. Factor c(k). -(k + 2)**2 Let r(b) = b**2 - 81*b + 1403. Let w be r(56). Determine u so that 32/5*u**w + 80*u - 2/5*u**4 - 36*u**2 - 50 = 0. 1, 5 Let a(i) = i**3 + 8*i**2 - 47*i + 15. Let z be a(-12). Solve -6/5*x + 2/5*x**z + 0 + 4/5*x**2 = 0. -3, 0, 1 Let f(a) be the first derivative of -a**4/54 + 14*a**3/27 - 49*a**2/9 - 13*a + 9. Let y(h) be the first derivative of f(h). Factor y(p). -2*(p - 7)**2/9 Determine m so that -136*m**3 - 12*m**4 + 8*m**5 + 16*m - 48 + 284*m**3 - 28*m**5 + 204*m**2 = 0. -2, -1, 2/5, 3 Let l(x) be the third derivative of x**8/84 + 22*x**7/105 - 41*x**6/30 + 17*x**5/15 + 20*x**4/3 - 56*x**3/3 + 3*x**2 - 44. What is k in l(k) = 0? -14, -1, 1, 2 Find n such that 2*n - 8/7*n**3 - 10/7*n**2 + 4/7 = 0. -2, -1/4, 1 Let i be 6/(-40)*-4 + (-18)/(-20). Let z(a) be the first derivative of 0*a - i*a**2 - a**3 - 3. Suppose z(x) = 0. What is x? -1, 0 Let o(m) = -25*m**4 + 5*m**2 - 20. Let a be 2*((-55)/(-5) + -1). Let h(r) = r**4 + 1. Let s(k) = a*h(k) + o(k). What is v in s(v) = 0? -1, 0, 1 Let i = 120 + -101. Suppose 0 = -16*b + i*b. Let b*c - 2/7*c**5 - 6/7*c**3 + 0 + 2/7*c**2 + 6/7*c**4 = 0. Calculate c. 0, 1 Solve 2/5*n + 144/5 - 2/5*n**2 = 0 for n. -8, 9 Suppose -10*r = -6*r - 56. Factor 7*b**5 - r*b**3 - 2*b**5 + 3*b**2 + 80 - 43*b**2 - 80*b - 35*b**4 + 94*b**3. 5*(b - 2)**4*(b + 1) Suppose -63 = 27*n - 30*n. Let -4*i**2 - i**3 + n*i - 43*i + 18*i = 0. What is i? -2, 0 Let 5 - 2*b**3 + 22 + 21 + 16*b + 24*b + 4*b**2 = 0. Calculate b. -2, 6 Suppose -73*n + 5*n = 12*n. Solve 3/5*a**2 + n - 3/5*a = 0 for a. 0, 1 Suppose 2*v + 0*v = 6. Find g such that 0*g**4 - 16*g**v - 4*g**4 + 7*g**3 - 3*g**3 = 0. -3, 0 Let i = -40 - -45. Let p(v) be the third derivative of v**2 - 1/100*v**i + 1/60*v**4 + 0*v**3 + 1/350*v**7 + 0*v - 1/300*v**6 + 0. Factor p(x). x*(x - 1)*(x + 1)*(3*x - 2)/5 Let x(j) = -100*j - 13998. Let u be x(-140). What is i in 0 + 1/3*i**u + 2/3*i = 0? -2, 0 Let r(y) = -11*y**2 + 30*y - 21. Let s(z) = 21*z**2 - 60*z + 41. Let q = -144 + 149. Let i(j) = q*r(j) + 3*s(j). Factor i(n). 2*(n - 3)*(4*n - 3) Factor -2/13*k**5 + 0*k**2 + 0*k**3 + 0*k + 0 - 4/13*k**4. -2*k**4*(k + 2)/13 Let q(r) be the second derivative of -33*r + 1/80*r**5 + 1/8*r**3 + 0 - 1/8*r**2 - 1/16*r**4. Factor q(b). (b - 1)**3/4 Let o = 225/11 - 664/33. Let y(f) be the third derivative of -1/8*f**4 + 1/60*f**5 + 0*f + o*f**3 - 8*f**2 + 0. Find v, given that y(v) = 0. 1, 2 Let k(u) be the first derivative of 4/5*u - 1/5*u**2 - 2 - 2/15*u**3. Suppose k(r) = 0. Calculate r. -2, 1 Determine r so that 74/5*r + 28/5 - 74/5*r**3 - 2*r**4 - 18/5*r**2 = 0. -7, -1, -2/5, 1 Let v(h) be the first derivative of h**3/2 + 111*h**2 - 478. Determine m so that v(m) = 0. -148, 0 Solve -258*w - 11094 - 3/2*w**2 = 0. -86 Suppose 0*v = -v + 1. Suppose 0 = -x + 2 + v. Factor o**3 - 2*o + 7*o**2 - x*o**2 - 2*o**3 - o**3. -2*o*(o - 1)**2 Suppose 8*q - 2*q**3 - 4*q**2 - 41 + 2 + 55 = 0. Calculate q. -2, 2 Let j(q) = 8*q**3 - 2*q**2 + 3*q + 9. Let w(g) be the first derivative of -g**4/4 - g - 11. Let o(t) = 4*j(t) + 36*w(t). Suppose o(i) = 0. What is i? -3, 0, 1 Let z(t) be the third derivative of -2*t**7/21 + 37*t**6/30 - 89*t**5/15 + 25*t**4/2 - 12*t**3 + 2*t**2 - 4. Suppose z(y) = 0. Calculate y. 2/5, 1, 3 Let w = 1/445 + 1771/4005. Solve -w + 2/9*f**2 - 2/9*f = 0 for f. -1, 2 Let h be (-61 + 54 - (-22)/3)*12. Find p such that -3/2*p**5 + 15/2*p**3 - 75/2*p**2 - 60*p + 15/2*p**h - 24 = 0. -1, 4 Determine g so that -74*g + 1354*g**3 - 658*g**3 + 20 + 44*g**2 - 64*g**4 - 632*g**3 + 10*g**5 = 0. -1, 2/5, 1,
{ "pile_set_name": "DM Mathematics" }
ose -w + 4*i = -4 - 12, d*w - 32 = 2*i. Calculate the greatest common factor of w and 4. 4 Let x(z) = 5*z**3 - z**2. Let t be x(1). Suppose 2*i = t*i - 16. Let w = 69 - 45. Calculate the highest common divisor of i and w. 8 Suppose -3*f + 24 = f. Suppose -f = -2*c, -h - c + 19 = h. What is the greatest common divisor of h and 20? 4 Let i = -177 + 196. What is the highest common divisor of i and 114? 19 Let o(h) = 2345*h**3 - h**2 - 5*h + 4. Let f be o(1). What is the highest common divisor of 33 and f? 33 Suppose 6*h - 640 = -2*h. What is the highest common factor of 200 and h? 40 Let l(m) = m**3 + 7*m**2 + 4*m - 8. Let d be l(-4). Let i = -13 + d. Let a be (-88)/((-1)/(2/2)). What is the highest common divisor of i and a? 11 Suppose -3*z + 8*z - 4*s - 2290 = 0, 0 = -2*z - s + 929. Suppose 6*i - z + 0 = 0. Calculate the greatest common factor of 11 and i. 11 Let q = 1 - -5. Let f(j) = 0*j - j**3 - 5*j**2 - 10*j + 5*j. Let a be f(-4). What is the greatest common factor of a and q? 2 Suppose 3*v + 2*g = 1252, 0 = -3*v - 0*v - 4*g + 1256. What is the greatest common factor of v and 26? 26 Let p(r) = 5*r**2 - 38*r + 5. Let c be p(11). What is the highest common factor of 12 and c? 12 Let x = -17 - -13. Let s be (-32)/2*6/x. Suppose -4*m + s = -84. What is the highest common factor of m and 27? 27 Let w(g) = -g**3 - 6*g**2 - 7*g + 8. Let n be w(-4). Suppose 3*l - 3*h = 24, -n*l - h = -0*l - 17. What is the highest common factor of 45 and l? 5 Let y(q) = 49*q**2 - 1. Let w be y(-1). Suppose 4*n = n + w. Suppose 4*h - n + 0 = 0. Calculate the greatest common divisor of 2 and h. 2 Let o = 77 - 53. Let l be (68/6)/((-2)/3). Let d = -13 - l. What is the greatest common divisor of d and o? 4 Suppose 5*d - 209 = 196. Calculate the greatest common divisor of 9 and d. 9 Let k = -36 - -52. What is the highest common factor of k and 112? 16 Let t(n) = -47*n**3 - n. Let h be t(-1). Suppose 44*d - h*d + 4 = 0. What is the highest common divisor of 1 and d? 1 Suppose 4704 = 17*m - 3*m. Calculate the greatest common factor of 42 and m. 42 Let k be 358 + 6 - 6*1/2. What is the highest common divisor of 19 and k? 19 Suppose 0 = -5*r + 3*b - 14, -3*r - 14 = 2*b - b. Let f be ((-11)/r + -2)*16. What is the greatest common factor of 84 and f? 12 Let x(j) = -22*j + 8. Let m be x(6). Let b = 70 + m. Let y be 12/(-8) + b/(-4). What is the highest common factor of 4 and y? 4 Let v(o) = o**3 - 3*o**2 + o + 1. Let w be v(4). Suppose 15 - 9 = 3*c. Let l be 4 - 6/(-4)*c. What is the highest common divisor of w and l? 7 Let s(x) = -2*x**3 - 3*x**2 + 4*x + 4. Let h be s(-3). Let a = 7901 - 7863. What is the greatest common divisor of h and a? 19 Let o = -5 - -59. What is the highest common divisor of o and 30? 6 Suppose -2*k - 4 = -4*k. Let z be (k/(-4))/(3/(-108)). Suppose -2*v + 8 = 2*o - 14, 0 = -3*o + 2*v + z. What is the highest common factor of o and 56? 8 Suppose 4*c - 5*c - 2 = 0. Let f be (-1)/c - (-4354)/28. Suppose 9*o = 5*o + f. What is the greatest common divisor of 13 and o? 13 Let s = -1835 + 1841. Let m = 12 + 42. Calculate the highest common divisor of s and m. 6 Suppose -40 = -2*n + i - 5*i, -115 = -4*n - i. What is the greatest common divisor of 6 and n? 6 Suppose 4*f = 74 + 150. Suppose -5*a + 124 = -f. Calculate the highest common divisor of a and 24. 12 Let v(u) = u**2 - 3*u + 4. Suppose 3*d = l + 17, 3*d - 16 - 16 = 4*l. Let a be v(d). Suppose 4*k + 60 = a*k. Calculate the greatest common factor of 6 and k. 3 Let z be (2 - (4 - -1)) + 0. Let r = z - -16. Suppose 5*g - 73 - 110 = -2*s, 302 = 3*s + 2*g. What is the highest common divisor of s and r? 13 Suppose -5*k = -3*b - 3364, 4*k - 3*b = 3473 - 780. What is the greatest common factor of k and 11? 11 Let i = -2378 + 2547. Calculate the highest common factor of i and 221. 13 Let b = -38 - 46. Let r = -36 - b. What is the highest common divisor of r and 36? 12 Let h(c) = -c**2 + 8*c - 6. Let r = -3 - -9. Let z be h(r). Let p = 24 - z. Calculate the highest common divisor of 27 and p. 9 Let x be (0 - -1)*15*2. Let c be (1 + -3)/((-10)/25). Let a be (c/3)/(1/27). Calculate the highest common factor of a and x. 15 Let n be (6/(-5))/3 - 62484/(-410). Calculate the greatest common divisor of 8 and n. 8 Let d = 123 - 34. Let n = -41 + d. Calculate the highest common factor of 6 and n. 6 Suppose -28*i + 26*i - 4*k + 4 = 0, -4*i + 5*k = -60. Calculate the highest common factor of i and 710. 10 Suppose 0 = c - 5*h - 75, -20 = c - h - 95. Let x(v) = v**3 - 5*v**2 + 3*v. Let g be x(5). Calculate the greatest common factor of c and g. 15 Suppose 90 = n + n. Let t be ((-2)/(2/(-5)))/((-41)/(-82)). Suppose 73 = t*b + 23. What is the greatest common divisor of n and b? 5 Let g(r) = -9*r**2 - 340*r - 35. Let b be g(-27). Calculate the greatest common factor of b and 272. 136 Let i be 4/(-2) + (1 - -7) + (13 - 17). Let w(x) = x**3 + 7*x**2 + x - 8. Let z be w(-6). What is the greatest common divisor of z and i? 2 Let o be (-51)/((-4)/(-2) - (-35)/(-10)). Calculate the highest common factor of 153 and o. 17 Let n(v) = v + 176. Let r be n(33). Calculate the highest common divisor of 57 and r. 19 Let d(c) = c**3 - c**2 + c - 42. Let l be d(4). What is the highest common divisor of 710 and l? 10 Let c = 493 - 312. Let b = c + -129. What is the greatest common divisor of b and 78? 26 Suppose 3*j = 5*u + 90, 26 + 4 = j + 5*u. Calculate the highest common divisor of j and 10. 10 Suppose 3*n = -2*d - 2, -n = 4*d - 9*d + 12. Let m be (-3)/12*d*-8. Calculate the highest common divisor of m and 1. 1 Let g(t) = -2 + 5 - 741*t + t**3 + 748*t - 7*t**2. Let m be g(6). Calculate the greatest common factor of 27 and m. 9 Let j(r) be the first derivative of 3*r**2/2 + 79*r + 42. Let g be j(-12). What is the greatest common divisor of 387 and g? 43 Suppose -3062 = -8*a + 1114. Calculate the greatest common divisor of a and 72. 18 Suppose 74*s - 9*s = -19*s + 84. Suppose 0*q - q - 15 = -3*h, 5*h - 4*q - 25 = 0. Calculate the greatest common factor of s and h. 1 Let a = 6 + -1. Suppose -a*u + 444 = -516. Let c = 8 - -16. Calculate the greatest common divisor of c and u. 24 Suppose 35*l - 220 - 130 = 0. Suppose 2*z + 720 = 3*w + z, -4*z = 12. Let g = w - 159. Calculate the highest common divisor of l and g. 10 Let t be (8/6)/((-8)/12). Let w be -1 + 3 + 4 + t. Suppose -5*p + 680 = 5*g - 0*p, -4*p - 544 = -w*g. What is the highest common divisor of g and 17? 17 Let z be 12/54 - (-1580)/18. Suppose -6*w + 2*w = 28. Let i = 1 - w. What is the highest common factor of z and i? 8 Let m(j) = 8*j - 155. Let s be m(20). Let x = 98 - 53. Calculate the highest common factor of s and x. 5 Let x(i) = -i**2 + 17*i - 10. Let h be x(10). Let d = h - -10. What is the greatest common divisor of d and 10? 10 Let z(k) = 3*k**2 - k. Let l be z(2). Let d = 13 - 16. Let c be d*(-3)/((-27)/(-30)). What is the greatest common divisor of l and c? 10 Let b(i) = i**3 + 9*i**2 + 7*i - 4. Let p be b(-8). Let s be (-70)/p*-2*(-8)/(-20). Calculate the highest common divisor of s and 28. 14 Suppose 3 = -0*t + t, -3*t = 5*y - 359. What is the highest common factor of 70 and y? 70 Suppose 0 = -81*d + 113*d - 832. What is the highest common factor of 104 and d? 26 Suppose 2*t = 5 + 1. What is the greatest common divisor of t and 327? 3 Let r be -7 + -8*(-2 + (-18)/8). Calculate the highest common divisor of 243 and r. 27 Let u(y) = -2*y**3 - 2*y**2 - 9. Let j = 34 - 39. Let p be u(j). Suppose d = -4 + p. Calculate the highest common divisor of 17 and d. 17 Let i be ((-12)/36)/(0 - 2/36). Suppose 2*s = -i*s + 160. What is the highest common factor of s and 10? 10 Suppose 4*h - 5 = -3*n, -9 = -7*n + 3*n - 3*h. What is the highest common factor of 243 and n? 3 Suppose t + 2*a - 1 = a, 2 = -2*a. Suppose 2*b + 98 = -0*l + l, -t*b = -2. What is the greatest common divisor of 250 and l? 50 Let t be ((-93)/5)/(4/(-60)*3). Let v = 162 + t. What is the highest common divisor of v and 51? 51 Suppose 0 = 138*r - 142*r + 60. Let v = 0 + r. What is the highest common divisor of 180 and v? 15 Let y be (22 + -21)/(13/(-7) - -2). Let k = -154 - -217. What is the greatest common factor of y and k? 7 Let m be (-2 + 4/8 - 1)*-36. Let z(x) = -4*x - 58. Let o be z(-17). Calculate the highest com
{ "pile_set_name": "DM Mathematics" }
14) in base 7? -23 Convert 12 (base 11) to base 12. 11 1010000 (base 2) to base 16 50 2 (base 14) to base 15 2 Convert -16 (base 12) to base 7. -24 6 (base 13) to base 4 12 What is -5 (base 7) in base 5? -10 Convert 231 (base 5) to base 6. 150 -120 (base 6) to base 8 -60 Convert -11 (base 3) to base 16. -4 -115 (base 6) to base 12 -3b Convert -205 (base 9) to base 5. -1132 -110 (base 2) to base 7 -6 -10 (base 8) to base 14 -8 -2 (base 4) to base 14 -2 Convert 1 (base 9) to base 4. 1 0 (base 3) to base 10 0 Convert -46 (base 8) to base 11. -35 What is -5 (base 15) in base 11? -5 What is 3 (base 15) in base 5? 3 222 (base 5) to base 10 62 What is -11 (base 6) in base 9? -7 43 (base 7) to base 14 23 2 (base 8) to base 16 2 -6 (base 10) to base 14 -6 0 (base 5) to base 13 0 Convert -11 (base 2) to base 16. -3 -3 (base 14) to base 4 -3 What is -8 (base 12) in base 11? -8 10100 (base 2) to base 8 24 What is -220 (base 5) in base 12? -50 What is 16 (base 15) in base 9? 23 What is -20 (base 5) in base 7? -13 Convert a (base 16) to base 8. 12 What is 8 (base 11) in base 13? 8 Convert 15 (base 10) to base 9. 16 261 (base 10) to base 11 218 Convert 100 (base 2) to base 6. 4 Convert 14 (base 10) to base 16. e What is -6 (base 8) in base 4? -12 Convert -1 (base 4) to base 8. -1 What is 10a (base 11) in base 2? 10000011 What is 4 (base 15) in base 11? 4 -1 (base 13) to base 15 -1 -3 (base 6) to base 13 -3 Convert -4 (base 15) to base 9. -4 What is 1 (base 10) in base 9? 1 Convert e (base 16) to base 4. 32 Convert 4 (base 11) to base 15. 4 Convert 1b0 (base 13) to base 16. 138 What is -514 (base 7) in base 6? -1104 What is 135 (base 14) in base 10? 243 Convert 90 (base 11) to base 16. 63 -3 (base 16) to base 3 -10 Convert -1000 (base 2) to base 5. -13 Convert 10 (base 9) to base 2. 1001 What is -12 (base 14) in base 2? -10000 -28 (base 12) to base 6 -52 -1 (base 9) to base 4 -1 11 (base 3) to base 8 4 Convert 11000 (base 2) to base 5. 44 24 (base 12) to base 14 20 Convert 21 (base 3) to base 15. 7 -6 (base 16) to base 12 -6 What is 3 (base 14) in base 3? 10 Convert 1 (base 14) to base 13. 1 What is 4 (base 8) in base 12? 4 -2 (base 16) to base 14 -2 What is 1033 (base 4) in base 8? 117 Convert -6 (base 16) to base 9. -6 1 (base 10) to base 4 1 What is -19 (base 14) in base 5? -43 Convert -cd (base 16) to base 10. -205 4 (base 14) to base 2 100 -232 (base 5) to base 10 -67 Convert -39 (base 16) to base 2. -111001 -2320 (base 4) to base 11 -158 -5 (base 7) to base 4 -11 Convert 5 (base 15) to base 10. 5 Convert 4 (base 15) to base 4. 10 Convert 3 (base 11) to base 5. 3 -1 (base 8) to base 12 -1 What is -29 (base 16) in base 14? -2d -9 (base 11) to base 5 -14 Convert d (base 14) to base 9. 14 Convert 4 (base 15) to base 7. 4 What is -3a (base 15) in base 4? -313 What is -2 (base 5) in base 16? -2 Convert 5 (base 10) to base 13. 5 Convert 0 (base 9) to base 5. 0 Convert -21 (base 12) to base 7. -34 What is 13 (base 6) in base 12? 9 What is -7 (base 13) in base 14? -7 What is 2020 (base 3) in base 4? 330 What is 10 (base 16) in base 7? 22 Convert -1 (base 14) to base 16. -1 What is 26 (base 13) in base 16? 20 What is -3 (base 12) in base 4? -3 What is -15 (base 15) in base 10? -20 Convert 145 (base 7) to base 8. 122 What is 14 (base 10) in base 5? 24 2002 (base 3) to base 8 70 -3 (base 12) to base 13 -3 Convert 0 (base 5) to base 15. 0 0 (base 7) to base 15 0 What is -145 (base 11) in base 6? -442 What is -6 (base 14) in base 8? -6 Convert -15 (base 11) to base 8. -20 22 (base 14) to base 13 24 What is 4 (base 14) in base 2? 100 Convert 6 (base 12) to base 7. 6 -109 (base 11) to base 9 -154 -1 (base 13) to base 16 -1 2 (base 9) to base 13 2 5 (base 11) to base 2 101 What is -10 (base 4) in base 6? -4 Convert -12 (base 6) to base 15. -8 What is -223 (base 7) in base 8? -163 What is -5 (base 14) in base 2? -101 -3 (base 15) to base 7 -3 -22 (base 9) to base 10 -20 What is 16 (base 9) in base 16? f a3 (base 13) to base 12 b1 What is 235 (base 7) in base 8? 174 Convert -22 (base 7) to base 9. -17 Convert -12 (base 3) to base 6. -5 Convert 20 (base 13) to base 6. 42 What is -11 (base 5) in base 8? -6 Convert -3 (base 10) to base 9. -3 124 (base 10) to base 6 324 -5a (base 16) to base 14 -66 What is -7 (base 9) in base 3? -21 What is 10000101 (base 2) in base 14? 97 273 (base 8) to base 4 2323 77 (base 13) to base 8 142 Convert -10100 (base 2) to base 7. -26 -505 (base 6) to base 14 -d3 1 (base 6) to base 4 1 -101 (base 5) to base 11 -24 Convert -1344 (base 6) to base 16. -160 What is -2143 (base 5) in base 8? -452 What is -9 (base 16) in base 10? -9 30 (base 10) to base 6 50 What is 0 (base 6) in base 7? 0 9 (base 13) to base 7 12 10020 (base 3) to base 4 1113 Convert -2 (base 5) to base 9. -2 Convert -39 (base 10) to base 6. -103 What is -6 (base 14) in base 3? -20 -14 (base 8) to base 11 -11 Convert 32 (base 6) to base 16. 14 -110 (base 2) to base 16 -6 Convert 2 (base 9) to base 16. 2 -11 (base 9) to base 13 -a -2 (base 4) to base 10 -2 -22 (base 7) to base 13 -13 What is 5 (base 12) in base 5? 10 What is 1 (base 2) in base 12? 1 Convert -1c (base 13) to base 4. -121 -10a (base 16) to base 3 -100212 -5 (base 15) to base 14 -5 10012 (base 3) to base 2 1010110 Convert -1 (base 16) to base 8. -1 Convert 2 (base 9) to base 16. 2 What is 1 (base 8) in base 13? 1 What is -3 (base 9) in base 8? -3 What is c (base 15) in base 12? 10 What is -10 (base 2) in base 12? -2 What is -25 (base 15) in base 16? -23 What is 194 (base 12) in base 3? 100111 What is -11 (base 16) in base 6? -25 Convert 0 (base 15) to base 13. 0 Convert 2 (base 3) to base 6. 2 Convert -1 (base 10) to base 9. -1 51 (base 9) to base 14 34 What is -6 (base 12) in base 14? -6 What is -20222 (base 3) in base 15? -c8 1120 (base 3) to base 7 60 What is -25 (base 13) in base 3? -1011 What is -11 (base 16) in base 13? -14 Convert 8 (base 9) to base 2. 1000 Convert 11101 (base 3) to base 16. 76 Convert -11 (base 3) to base 7. -4 What is -a (base 11) in base 14? -a Convert 0 (base 6) to base 16. 0 -3 (base 10) to base 6 -3 What is 100 (base 3) in base 12? 9 7 (base 15) to base 5 12 1 (base 13) to base 5 1 Convert -154 (base 9) to base 13. -a0 5 (base 15) to base 9 5 Convert a (base 11) to base 15. a 37 (base 8) to base 5 111 Convert 1 (base 6) to base 4. 1 What is 4b (base 12) in base 5? 214 Convert 2 (base 16) to base 15. 2 102 (base 4) to base 5 33 a (base 14) to base 9 11 What is 23 (base 5) in base 8? 15 Convert 0 (base 15) to base 3. 0 What is 0 (base 9) in base 6? 0 30 (base 9) to base 5 102 3 (base 11) to base 12 3 Convert -3 (base 7) to base 6. -3 Convert -48 (base 9) to base 12. -38 Convert 101 (base 6) to base 7. 52 205 (base 6) to base 15 52 What is 1 (base 7) in base 9? 1 1100 (base 3) to base 13 2a What is -3302 (base 4) in base 16? -f2 Convert 19 (base 16) to base 10. 25 What is 3 (base 15) in base 14? 3 -5 (base 11) to base 16 -5 Convert -6 (base 8) to base 5. -11 Convert 1 (base 16) to base 10. 1 1011001 (base 2) to base 7 155 Convert -1 (base 10) to base 6. -1 Convert 10 (base 4) to base 11. 4 117 (base 10) to base 9 140 Convert 10 (base 5) to base 11. 5 454 (base 8) to base 15 150 0 (base 15) to base 12 0 Convert -16 (base 10) to base 12. -14 4 (base 14) to base 16 4 Convert 11101 (base 2) to base 16. 1d What is -21 (base 12) in base 2? -11001 What is 7 (base 11) in base 9? 7 0 (base 9) to base 10 0 Convert 2 (base 9) to base 16. 2 What is -54 (base 8) in base 11? -40 What is -2 (base 6) in base 8? -2 -13e (base 15) to base 7 -554 Convert 15 (base 6) to base 14. b Convert 11 (base 4) to base 10. 5 -11 (base 2) to base 15 -3 1422 (base 5) to base 8 355 18 (base 11) to base 13 16 Convert 7 (base 10) to base 12. 7 2001 (base 3) to base 8 67 Convert -1221 (base 3) to base 16. -34 What is -215 (base 6) in base 5? -313 What is 14 (base 8) in base 4? 30 -5 (base 7) to base 8 -5 What is -5 (base 10) in base 14? -5 Convert -2 (base 8) to base 15. -2 Convert 53 (base 12) to base 10. 63 Convert -243 (base 8) to base 13. -c7 Convert -4 (base 13) to base 14. -4 What is 210 (base 10) in base 6? 550 Convert 7 (base 16) to base 13. 7 Convert -66 (base 14) to base 7. -156 What is -53 (base 6) in base 4? -201
{ "pile_set_name": "DM Mathematics" }
be k(1). Let a = 33 + j. Find the third derivative of 488*c**3 - 488*c**3 + 14*c**a - 10*c**5 wrt c. -600*c**2 Suppose 31*q - 280 = 26*q. What is the third derivative of 32*f**2 + q*f**6 + 10*f**2 + 4 - 3 wrt f? 6720*f**3 Let i(v) = 53*v**2 + 3*v + 3. Let y be i(-1). Let t = -51 + y. Find the second derivative of -3*x**3 - 3*x**3 + 10*x**3 + 2*x**3 - t*x**2 + 33*x - 2 wrt x. 36*x - 4 Find the first derivative of 5794*a**2 - 58 - 4900*a**2 - 40 + 15 wrt a. 1788*a What is the second derivative of -2*o**4 + 0 - 126*o**5 - 99*o**5 + 1 + 3*o**4 + 10*o - o**2 + 160*o**5 wrt o? -1300*o**3 + 12*o**2 - 2 Suppose -80 = -5*w - 0. Let q = 21 - w. Differentiate -1 - 1 + q - 15*y**4 wrt y. -60*y**3 Let v(h) = -h**4 - h**3 + h**2 + 27. Let i(a) = -3968*a**4 - 4*a**3 + 28*a**2 + 155. Let d(w) = -i(w) + 4*v(w). What is the third derivative of d(n) wrt n? 95136*n Let d(p) be the second derivative of -16/15*p**6 - 22*p - 5/4*p**4 - p**2 - 2 + 0*p**3 + 1/20*p**5. What is the third derivative of d(z) wrt z? -768*z + 6 Differentiate 415*c + 159 - 6*c**2 + 2*c**2 + 109 - 58 + 37 with respect to c. -8*c + 415 Let w be 52 + -63 - (-3 - 11). Let g(p) be the second derivative of 0 + 7*p - 1/4*p**4 + 0*p**2 + 0*p**w - 13/20*p**5. Find the third derivative of g(b) wrt b. -78 Let u = -2783 + 2786. Let r(q) be the second derivative of 0*q**2 + 2*q**u + 5/4*q**4 - 8*q + 0. What is the second derivative of r(g) wrt g? 30 Let d(c) = -c**3 + c**2. Let p(q) = -43 + 67*q**2 - 506*q**3 - 62*q**2 + 297 + 180*q**3. Let h(x) = 5*d(x) - p(x). Differentiate h(y) with respect to y. 963*y**2 Suppose 0 = -3*g - 2*g + 20. Suppose 0 = -0*y + 2*y + g*s - 24, 3*s = -2*y + 19. What is the derivative of -20*v**y + 3 + 35*v**2 + 11 wrt v? 30*v Let j(n) be the first derivative of 5053*n**3/3 + 2718*n - 2111. Differentiate j(q) wrt q. 10106*q Let t be 1/((-6)/(-9)*3/(-6)). Let h(x) = -121*x**3 - 7*x + 222. Let p(w) = 60*w**3 + 3*w - 111. Let s(v) = t*h(v) - 7*p(v). Differentiate s(d) wrt d. -171*d**2 Suppose -2*y - 6 = n, 3*n = 2*y + 3 + 3. Suppose 2*t - t - 26 = r, n = t + 2*r - 17. What is the second derivative of 25*h + t*h - 2*h**5 - 34*h wrt h? -40*h**3 Suppose 10*z = 830 + 330. Let i = 119 - z. Find the third derivative of -9*h**3 + 3*h**2 - 27*h**3 - h**3 + 0*h**i wrt h. -222 Let w(r) = -r + 20. Suppose 3*s - 3*s = -2*s. Let f be w(s). Differentiate -f*i**4 + 2 - 1 - 14*i**4 + 0 with respect to i. -136*i**3 Let y(z) be the third derivative of -27/8*z**4 + 0*z + 1/120*z**6 + 0 - 1/10*z**5 + 0*z**3 - 70*z**2. Find the second derivative of y(x) wrt x. 6*x - 12 Find the second derivative of 8*x + 514*x**2 + 2*x - 11 - 9 + 50 wrt x. 1028 Let j(z) = -18*z**3 - 28*z**2 + 3574*z + 3. Let n(w) = 23*w**3 + 28*w**2 - 3576*w - 4. Let d(s) = 4*j(s) + 3*n(s). What is the second derivative of d(a) wrt a? -18*a - 56 Let d(i) be the third derivative of 163*i**6/20 + 197*i**5/30 - 56*i**2. Find the third derivative of d(w) wrt w. 5868 Let f = 82 - 79. What is the first derivative of -3*u + 547 + 25*u**f + 4*u - u - 396 wrt u? 75*u**2 Suppose -9*i + 7*i + y + 78 = 0, -185 = -5*i + 5*y. What is the second derivative of -43*m**5 - 75*m**5 + 2 + 77*m**5 + 74*m + i*m wrt m? -820*m**3 Find the first derivative of -8551 - 17*s - 5*s + 7*s - 97*s**2 + 7*s - 12*s wrt s. -194*s - 20 Find the third derivative of 10*j**6 - 291*j**5 - 272*j**2 + 9255*j**2 + 130914*j**4 - 130914*j**4 wrt j. 1200*j**3 - 17460*j**2 Suppose 4*i + 12 = -0*i, 4*x = -2*i + 82. Differentiate x + 33 - 58*f + 82*f - 44*f wrt f. -20 Let t(f) be the third derivative of -109/6*f**3 + 0*f**5 + 0*f**4 + 0 + 0*f + 0*f**6 + 136*f**2 + 101/70*f**7. What is the first derivative of t(c) wrt c? 1212*c**3 Let a(f) be the first derivative of 625*f**5 + 649*f**2/2 - 6*f + 10164. Find the second derivative of a(q) wrt q. 37500*q**2 Let j = -9112 + 36451/4. Let d(g) be the second derivative of -j*g**4 + 0*g**3 - 13/2*g**2 + 4*g + 0. Differentiate d(c) wrt c. -18*c Suppose 70*j + 10*j - 400 = 0. Let p(h) be the second derivative of 1/10*h**6 + 0*h**3 + 0 - j*h + 0*h**4 + 11/2*h**2 + 0*h**5. Differentiate p(d) wrt d. 12*d**3 Suppose 3*d - 3 = 3. Let h be 2 - (1 + (-4)/d*1). Find the second derivative of 4*n - 12*n**4 + 9*n - h*n - 4*n wrt n. -144*n**2 Find the second derivative of 10 - 8*z**4 + 10*z**4 - 1179*z**3 - 9*z + 1436*z**3 wrt z. 24*z**2 + 1542*z Find the third derivative of -34*o**5 - 1061*o**2 + 34*o**5 + 1218*o**6 - 3*o + 958*o**6 + 210*o**2 wrt o. 261120*o**3 Suppose 26 = 7*q + 6*q. Let z be q*(-1)/2 - (0 + -1). What is the third derivative of z*m**3 - 7*m**3 - 8*m**2 + 0*m**3 wrt m? -42 Let t(s) be the third derivative of 625*s**9/63 - s**5/12 - 35*s**4/24 - 5*s**3/2 + 1121*s**2 - 2*s. Find the third derivative of t(v) wrt v. 600000*v**3 Suppose 2*q - 6*q = -3*s - 397, 2*s = 10. Let v = q - 100. Find the second derivative of 4*g**3 + v*g**3 - 10*g**3 - 36*g wrt g. -18*g Let l(i) = i**3 + i - 4. Let a(s) = -16*s**5 + 6*s**3 - 1389*s**2 + 6*s - 24. Let v(r) = -a(r) + 6*l(r). What is the third derivative of v(j) wrt j? 960*j**2 Let t(w) = 551*w**3 - 4*w**2 - 1022*w. Let b(c) = -564*c**3 + 3*c**2 + 1021*c. Let p(v) = 4*b(v) + 3*t(v). What is the second derivative of p(f) wrt f? -3618*f Let r(a) = a**2 + 13*a - 138. Let i be r(-24). Find the first derivative of -i + 44 + 84*q + 36 + 153 wrt q. 84 Find the second derivative of 5839 + 66*m + 4*m**4 + 191*m**2 - 3*m**4 - 5883 + 3*m**4 + 8*m + 2*m**3 wrt m. 48*m**2 + 12*m + 382 Find the second derivative of -17*r - 240*r + 265*r + 385 + 1949*r**2 wrt r. 3898 Suppose 21 = 5*g + 1. Let r = 139 + -136. What is the second derivative of -14*y**g - 6*y - r*y - y + 0*y wrt y? -168*y**2 Suppose -q + 1 = -4, 0 = y + q - 9. Find the second derivative of -44*o**4 + 2*o - 7*o**4 + y*o + 3 wrt o. -612*o**2 What is the first derivative of 792*q - 92*q + 242*q - 1662 + 32*q wrt q? 974 Let a(d) = 1923*d + 1969. Let y(z) = -1291*z - 1313. Let t(o) = 5*a(o) + 8*y(o). Find the first derivative of t(n) wrt n. -713 Let j(b) be the second derivative of -25*b**5/24 - 77*b**4/24 + 167*b**3/6 - 39*b. Let i(c) be the second derivative of j(c). Differentiate i(p) wrt p. -125 Let w(z) = z + 11. Let p be w(-8). Find the second derivative of 74*t**4 - 254*t + 146*t - p*t**4 wrt t. 852*t**2 Let q(j) be the second derivative of 407*j**4/6 - j**3/3 + 14*j**2 - 7*j + 12. What is the second derivative of q(a) wrt a? 1628 Suppose -19 = -7*q + 23. What is the third derivative of -491*z**2 + 49*z**6 + 472*z**2 - 3*z**5 - 19*z**q wrt z? 3600*z**3 - 180*z**2 Find the second derivative of -64411 + 6946*g**3 + 49*g + 21492 + 21486 + 21468 wrt g. 41676*g Let v = -668 + 712. What is the first derivative of -76 - 139 - 113*b - v + 67 wrt b? -113 What is the third derivative of -66*w**3 + 18*w**2 + 0 - 269*w**4 + w + 318*w**4 + 68*w**3 + 0 wrt w? 1176*w + 12 Let o(h) = -h**3 - 117*h**2 + 28*h - 224. Let s(b) = -b**2 + 4*b. Let j(m) = -o(m) + 6*s(m). What is the second derivative of j(k) wrt k? 6*k + 222 Let x(w) be the third derivative of -7*w**2 + 0*w**5 + 8 - 43/3*w**3 - 1/60*w**6 + 13/24*w**4 + 0*w. Differentiate x(g) wrt g. -6*g**2 + 13 Let z = 335 + -165. Suppose 11*y - z = -6*y. What is the third derivative of -9*a**6 - 5*a**4 + 3*a**4 - 608*a**2 - y*a**6 + 603*a**2 wrt a? -2280*a**3 - 48*a Let z = -1 - -7. Let s(d) = 9*d + 2*d**3 - d**3 - 17*d. Let u(x) = -3*x**3 + 17*x. Let w(b) = z*u(b) + 11*s(b). What is the second derivative of w(n) wrt n? -42*n Let r(i) = i**2 - 13*i - 27. Let f be r(15). What is the third derivative of -377*h + 46*h**f - 373*h + 33*h**2 + 750*h wrt h? 276 Let q(l) = -22*l - 21. Let o be q(-1). Let d(j) = -j**3. Let m(t) = 62*t**3 - 54. Let x(n) = o*d(n) + m(n). Find the first derivative of x(u) wrt u. 183*u**2 Let b(f) be the third derivative of 106 + f**2 + 1/6*f**4 + 0*f + 1/20*f**5 + 28/3*f**3. What is the derivative of b(l) wrt l? 6*l + 4 Let u = -348 + 352. What is the first derivative of -37 - 30 - 22*l**u + 5*l**4 - 240*l**3 + 237*l**3 - 9*l**4 wrt l? -104*l**3 - 9*l**2 Let z(a) be the second derivative of -a**5/24 + 5*a**4/2 + 55*a**3/6 - 4*a. Let g(x) be the second derivative of z(x). What is the derivative of g(t) wrt t? -5 Let u(y) = 1 + 5*y + 4 - 57 + 45*y**2. Let p = -246 - -249. Let h(t) = -23*t**2 - 3*t +
{ "pile_set_name": "DM Mathematics" }
t d be (-4)/(-3)*(h + -6 + 10). Let f = -2 + 5. What is the greatest common factor of f and d? 3 Suppose -2*a - 440 = -6*a. Let y(z) = -z**3 + 6*z**2 + 37*z - 200. Let h be y(7). What is the greatest common divisor of h and a? 10 Suppose -2*f + 78 = 3*z - z, 4*z = 4*f - 196. Suppose 5*l - 20 = -p + 3, -2*p - 2*l + 62 = 0. What is the greatest common divisor of p and f? 11 Suppose 5*c + 3 = 13. Suppose -r + 13 = 4*i, -i - 1 = c. Let o be ((-4)/2)/((-4)/10). Calculate the greatest common factor of r and o. 5 Let m(o) be the third derivative of o**6/120 + o**3 - o**2. Let n be m(0). Let c be 4/(-18) - (-272)/9. Calculate the greatest common divisor of n and c. 6 Let i(l) = -5*l + 4. Let p be i(-4). Let m(x) = 12*x. Let f be m(6). What is the highest common factor of f and p? 24 Suppose 3*s + 11 + 14 = 4*c, 0 = 5*c + 5*s - 5. What is the highest common factor of c and 2? 2 Suppose b - 2*b = -15. Let c be b*1*(-12)/(-20). Suppose 0 = -5*h + 4*h + 9. What is the highest common factor of h and c? 9 Let c = 141 + -64. What is the highest common divisor of c and 35? 7 Suppose -6*q - 10*q = -768. What is the highest common divisor of 168 and q? 24 Suppose 5*g + 20 = -5*w - 0*w, -4*g - 3*w = 12. Suppose -5*j - 5 = g, -2*j - 15 - 65 = -2*q. What is the highest common divisor of 26 and q? 13 Suppose 3*r = -0 + 66. Let c be (-4)/r + (-378)/(-22). Suppose 28 = 3*h - 125. Calculate the highest common divisor of h and c. 17 Suppose -10*h + 23*h - 2340 = 0. What is the greatest common factor of h and 100? 20 Suppose 5*x + 3*v - 32 = 0, -4*x - 4*v = -11 - 13. Suppose -s + x = 4. What is the highest common factor of 27 and s? 3 Suppose -33*l + 8640 = 87*l. Calculate the greatest common factor of 136 and l. 8 Suppose -5*r + 19 + 31 = 5*l, 3*r - 3*l - 30 = 0. Let g be 7/(196/(-21))*-12 - -101. Calculate the highest common factor of r and g. 10 Suppose 2*g + 0*g = 2*w + 1328, 3*g = 4*w + 1992. What is the greatest common factor of g and 8? 8 Let b(k) = k**3 - 4*k**2 - 2*k + 4. Suppose -i = -0 - 14. Let g = 20 - i. Let y be b(g). Calculate the greatest common factor of y and 8. 8 Let c be 4*-3*(-1)/4. Let t = 1 - 0. Let q be (-1)/(t*3/(-6)). Calculate the highest common factor of q and c. 1 Let f(h) = 2*h**3 - 25*h**2 + 14*h - 25. Let w be f(12). Let r be 4*3*(w + 36/8). Calculate the highest common divisor of r and 14. 14 Let l(u) = -79*u**3 - u - 7. Let q be l(-2). Suppose 6*z - 9*z = -q. Calculate the greatest common factor of z and 19. 19 Let x = 134 + -68. Calculate the greatest common factor of 594 and x. 66 Suppose 82 = 2*n + 52. Calculate the greatest common divisor of n and 5. 5 Let y(n) = -174*n - 339. Let m be y(-3). Calculate the greatest common divisor of 305 and m. 61 Let p(a) = a**2 + 27*a + 228. Let v be p(-27). Calculate the greatest common factor of v and 171. 57 Let k be (-2 - -1)/(6/(-90)). Suppose -4*u + 25 = -k. Let t be 206/14 - u/(-35). What is the highest common factor of 60 and t? 15 Let q = 21 - 19. Let p be (8/6 - q)/(2/(-45)). Calculate the greatest common factor of p and 15. 15 Suppose 110*i - 600 = 105*i. Suppose 3*a - 5*a + 30 = 0. What is the highest common factor of a and i? 15 Suppose 5*w + 119 = 10*w + s, 20 = w + 4*s. What is the highest common factor of 348 and w? 12 Let x be (-4)/(3 - 11) + 26/4. Suppose 0 = -4*y - x + 39. Let g = 0 + 64. What is the greatest common divisor of y and g? 8 Let z = -44 - -2. Let q = z - -46. Calculate the highest common divisor of q and 40. 4 Suppose 27*g = 22*g + 2840. Calculate the highest common factor of 71 and g. 71 Let j = 351 - 251. Suppose 3*t + 11 = 4*p + j, 2*p + 44 = 2*t. Let k be (-14)/21 - p/3. Calculate the greatest common factor of k and 7. 7 Let m be (-435)/(-6) + (-42)/12 + 3. Calculate the highest common divisor of 96 and m. 24 Suppose 178*g - 181*g = -48. What is the highest common factor of g and 8? 8 Suppose -4*t + 396 = 5*v, 4*t - 32*v - 396 = -27*v. Let q be (-79)/(-7) - 4/14. Calculate the greatest common factor of t and q. 11 Let m(p) = 7*p**2 - 1. Let t be m(-2). Let v be (-7)/4*-5 - 327/(-1308). What is the highest common divisor of t and v? 9 Let k(s) = 6*s**2 - 7*s - 1. Let l be k(-5). Let c = 55 + -46. Let j(t) = 5*t - 22. Let h be j(c). Calculate the greatest common factor of h and l. 23 Let x be (3 - 18)/3 + (2 - -5). Calculate the highest common factor of x and 13. 1 Let k be 6/4*6940/30. Suppose 0 = 3*s - 901 - k. Let f be (9/4)/(78/s). What is the greatest common factor of f and 3? 3 Let n = -56 - -80. Let t be ((-324)/(-90))/(-1 - (-1115)/1100). Calculate the highest common factor of t and n. 24 Let b(m) = -m**3 + 12*m**2 - 11*m + 7. Let h be b(9). Let z = h - 119. Calculate the highest common divisor of z and 2. 2 Let z = 0 - 2. Let t be (-38)/(-9) + z/9. Let n(b) = b**2 - b - 1. Let m be n(2). Calculate the highest common factor of t and m. 1 Suppose x = 2*h + 179, 10*h = 11*h - 5. What is the greatest common divisor of x and 9? 9 Let g be (-58)/(-4) + 3/(-6). Let b(j) = -19*j - 54. Let w be b(-8). Calculate the highest common divisor of w and g. 14 Suppose 157 = 3*f - 11. Let h be -30*(133/(-35) - -1). Calculate the highest common factor of h and f. 28 Let r = -73 - -50. Let o = r + 48. What is the greatest common factor of 100 and o? 25 Let t = 126 - 80. What is the highest common divisor of 69 and t? 23 Let o(s) = 12*s**2 - 8*s + 8. Let g be o(5). Suppose 4*m - 66 = 2*j - g, -5*j + 450 = m. Calculate the greatest common divisor of 13 and j. 13 Let p = -110 - -113. Suppose 0 = -3*g - 6 - 0, p*v - 44 = g. What is the greatest common factor of 112 and v? 14 Let u(y) = -y**3 + y**2 + 11*y - 21. Let r be u(3). Let t be r/((-30)/535) + 1. Calculate the highest common divisor of t and 72. 36 Suppose 114 - 2 = 8*n. Calculate the greatest common factor of n and 22. 2 Let n be (-16)/2*15/(-6). Let p(l) = -l**2 - 9*l + 12. Let s be p(-8). What is the greatest common divisor of n and s? 20 Let t = 233 - 197. What is the highest common divisor of t and 468? 36 Let l be 4/26 + (-10476)/(-351). What is the greatest common divisor of l and 150? 30 Let q = 21 + -9. Let j be (7/(-3) + 3)*-42. Let k be (-3350)/(-35) - 8/j. What is the greatest common divisor of q and k? 12 Suppose 10 = 4*t - 14. Let r be (36 - 15)*4/t. Calculate the greatest common divisor of 2 and r. 2 Suppose 0 = 3*f + 3*h, 0 = 3*h - 6 - 3. Let b(k) = -k**3 - 3*k**2 - 6*k - 5. Let l be b(f). What is the greatest common divisor of l and 143? 13 Suppose 0 = -7*q + 6*q - 1. Let b be (q/((-6)/(-9)))/(2/(-28)). What is the greatest common factor of 14 and b? 7 Let o(f) = 11*f**2 + f - 37. Let r be o(-7). What is the highest common factor of r and 55? 55 Let b be (-4)/(7 + (-300)/42). Calculate the highest common divisor of 70 and b. 14 Let a = -184 - -196. What is the greatest common factor of 9 and a? 3 Let p(o) = -10 - 4 + 2*o**3 + 2*o**3 + 9*o**2 - 3*o**3. Let s be p(-8). Calculate the highest common divisor of s and 10. 10 Suppose -b + 4*g + 47 = -51, 5*b - g - 566 = 0. Calculate the greatest common divisor of 76 and b. 38 Let h be (4/8)/((-2)/36). Let x(f) = 5*f + 23. Let z(t) = -3*t - 11. Let y(p) = h*z(p) - 4*x(p). Let w be y(6). What is the highest common divisor of w and 7? 7 Let s(i) = -4*i - 5. Let b be s(-2). Suppose 4*k - 4 = n - 8, -4*k - 28 = -b*n. Suppose 0 = -4*o + n - 4. Calculate the highest common factor of o and 2. 2 Let m = 697 + -649. Calculate the highest common factor of 228 and m. 12 Suppose -19*l + 15*l - 92 = 0. Let g = 92 + l. Calculate the highest common factor of g and 23. 23 Suppose -4*f = -f + 12. Let j be 3/(-3)*(f - 1). Suppose 61 = 4*i - 99. Calculate the greatest common divisor of j and i. 5 Let m be (-4)/18 + (-19476)/(-162). Suppose 2*f = 4*f. Suppose f = -7*c + 2*c - 3*p + 84, -3*c - 3*p = -54. What is the highest common factor of m and c? 15 Let z(x) = x + 22. Let f be z(7). Let a(l) = -l + 6. Let s be a(-10). Let j = f - s. Calculate the highest common factor of j and 65. 13 Suppose 9*k = 7*k + 12. Suppose 67 = -2*c + k*c - 3*h, 3*h - 61 = -4*c. What is the highest common divisor of c and 24? 8 Suppose -9*b - 42 = -10*b. What is the greatest common divisor of 462 and b? 42 Let t = 78 + 160. Calculate the greatest common divisor of t and 28. 14 Suppose -20*q - 100 = -
{ "pile_set_name": "DM Mathematics" }
4 + -5)*2/(-8). What is the smallest value in d, 0.4, l? l Let y = -0.08 + 0.15. Let b = -7.93 - y. Let n = b + 4. What is the second biggest value in n, -3, -0.3? -3 Let r = -21/22 - 6/11. Let q = -18 - -13. Let k = 2.2 - 2. What is the third smallest value in q, k, r? k Suppose 4*p = 2*i + 24, 0 = p + 5*i + 3 + 2. What is the third smallest value in p, 2/7, 4, 0.05? 4 Let j = 3.4 + -0.4. Let i = j - 11. Let m = 5 + i. Which is the biggest value? (a) m (b) 3 (c) -2/15 b Suppose 4*u + 8*u + 72 = 0. Which is the smallest value? (a) 3 (b) u (c) -1/3 (d) 0.3 b Let z = -2.9 + 1.9. Which is the second biggest value? (a) z (b) -0.4 (c) -2/3 c Let n = 9.01 + -9. Let r = 0.49 + n. Let y be ((-2)/(-4))/((-4)/(-24)). What is the second biggest value in r, y, 4/9? r Let l = -1 - -2. What is the smallest value in -1, 2/15, l? -1 Suppose -12 - 6 = -3*x. Let b be ((-63)/x - -1)*-2. Suppose 4*s - 3 + b = 0. What is the second biggest value in 0, s, 1? 0 Let b(r) = 8*r**3 + r - 1. Suppose 5*o - 8 + 3 = 0. Let c be b(o). Let g be c/12*6/(-28). What is the smallest value in g, -4, -0.5? -4 Let i = 3.11 - -0.94. Let g = -0.05 + i. What is the third smallest value in -3, g, -4? g Let n = -8 - 12. Let x = n - -17. Which is the smallest value? (a) x (b) 4 (c) 1/4 a Let w = 0 - 0.1. Let d = w - 0.4. Let n = d - -0.4. What is the second biggest value in 4, -2, n? n Let p = -21 + 21. Suppose 4*w + 5*u + 45 = p, -2*w = -5*w + 4*u + 5. Which is the third smallest value? (a) -3 (b) 1 (c) w b Let w be 436/(-12) - (0 - -1). Let u = -38 - w. Let h = -0.24 + 0.14. What is the second biggest value in h, 1/4, u? h Let i be (-275)/(-30) - 2/12. Suppose 3*o = -i, -5*s = 2*o + 4 - 18. Let v = s + -4. Which is the third biggest value? (a) v (b) -0.5 (c) -0.2 b Let d = -9.1 - -7.15. Let f = d + -0.05. Which is the second biggest value? (a) -2/3 (b) 0.1 (c) f a Let w = 3/13 - 41/65. Which is the second biggest value? (a) -3 (b) w (c) 0.11 b Let l be (20/(-14))/(29/(-7)). Let r = l + -112/493. Which is the third biggest value? (a) 0.3 (b) r (c) -0.3 c Let t = -0.23 - -1.23. What is the smallest value in -3/5, t, 0.4? -3/5 Let h = -1 + 0. Let p be (-1 - (-7)/5)/(-2). Let l = -0.05 - 0.25. Which is the second biggest value? (a) h (b) l (c) p b Suppose -2*p - 382 = 2*n, -p = -3*p + 2. Let a be (-4)/14 - n/1064. Let h = -1 - 0. What is the third biggest value in 4, a, h? h Suppose 4*z - 2*z = 10. Suppose -5*m = -z*y - 20, 4*m - 3*m = 3*y + 8. Let f = -0.9 - 0.1. Which is the smallest value? (a) f (b) m (c) -0.2 a Let j be (896/(-180))/(-7) - 1/9. What is the third smallest value in j, 0.05, 3, 0.5? j Let x = 0.4 - 0.9. Let n = 355 - 360. Let z = 43/152 + -3/19. What is the second biggest value in z, n, x? x Let m = -0.3 + 0.3. Let w = -2.107 - -0.107. What is the biggest value in -0.4, w, m? m Suppose 4 = -14*y + 15*y. Which is the biggest value? (a) y (b) 5 (c) -2/11 (d) -0.5 b Let d = 0.25 - 0.15. What is the smallest value in 0, 1/9, d? 0 Suppose 3*p - 4*f = 7, -14 + 6 = -4*f. Let u be (-1 - 1)/(-2)*-1. Let q = 1/2 - 7/10. Which is the third smallest value? (a) q (b) u (c) p c Let a = -32.23 + 32. What is the smallest value in -0.2, a, -5? -5 Let o be 1 - ((-54)/(-10) + -4). What is the smallest value in 0.4, -5, o? -5 Let i = 149 - 148.9. What is the third smallest value in i, 1, 4, 0.3? 1 Let m = -3/41 + -32/123. Let z = -0.3 - -0.2. Which is the second biggest value? (a) m (b) -1/7 (c) z b Let l(j) = j**2 - 3*j - 1. Let g be l(-2). Suppose -3*t = -g + 3. What is the second biggest value in t, 2/13, 5? t Let g(s) = s**3 + 7*s**2 + 5*s - 7. Let u be g(-6). Let j = -13 + 25. Suppose 8 = -4*n, -7*n + j = 5*f - 3*n. What is the second biggest value in f, u, 5? f Let c be 2*-1 + (-64)/(-28). Let z be -15*1*(-2)/(-6). What is the biggest value in z, 3, c? 3 Let y = -8 + 29. Let u be ((-18)/y)/(5/(-7)). Let n = u + -28/15. Which is the biggest value? (a) n (b) 3 (c) -1/5 b Let d = -0.2 + 0. Let a = -0.36 - -1.41. Let g = 0.05 - a. What is the second biggest value in g, d, 1? d Let s(d) = 2*d - 2. Let a be s(3). Suppose 4*x + 5*t = -5, 4*t = 3*x - 5*x - a. Let u be (2 - -3) + -2 + x. What is the biggest value in 2, u, -1/4? u Let s = -14 + 14. Which is the third biggest value? (a) s (b) -7 (c) -1 (d) 5 c Let q be (3 - 2 - 2)*1. Let i = 46 - 27. Let y = 18.9 - i. Which is the second smallest value? (a) y (b) 0.4 (c) q a Suppose 12*w = 9*w + 9. Let x = -12 - -7. What is the biggest value in w, x, -2/7? w Let d = 1.32 - 1.4. Let t = d + 0.38. Suppose -3 = -3*p + 6. Which is the second smallest value? (a) p (b) -2/3 (c) t c Suppose 18*p = 15*p - 12. What is the fourth smallest value in 5/6, 0, p, -6? 5/6 Let f(c) = -c**3 + 3*c**2 - c + 4. Let i be f(3). Suppose -m = 1 + i. Let w be 92/28 + -1 + m. What is the second biggest value in 1, w, -0.1? w Let x = -2.005 - -0.005. Which is the biggest value? (a) -1/2 (b) x (c) 2 (d) 0 c Let y = -0.59 - -0.79. Let l = 1.01 + -1. What is the biggest value in y, 4/9, l? 4/9 Let p = 17 + -8.5. Let c = 9 - p. Suppose -3*z - 12 = 3. What is the smallest value in c, z, -4? z Let u(f) = 5*f**2 - 3*f. Let i be u(3). Let a be (-1)/(-36) + 8/i. What is the smallest value in 0.1, -1/2, a? -1/2 Let a be 8/(-6)*(-6)/4. Suppose -4*s - 18 = 2*m, -3*m - a*s + 4 = 11. Let u = 130 + -1429/11. What is the third biggest value in u, -4, m? -4 Let l = -12 - -5. Let f = 11 - 14. Let i = f - l. What is the biggest value in i, 1, 2/21? i Let m(q) = -9*q - 5. Let z be m(-5). Let p be 3/(-2)*16/z. Which is the biggest value? (a) 0.3 (b) p (c) 0.5 c Let o = 17.9 + -21. Let d = 3.7 - 0.7. Let z = o + d. Which is the smallest value? (a) 2/3 (b) -3 (c) z b Let n = 4.7 + 0.3. What is the smallest value in -2, -5, n? -5 Let l = 97 - 93. Which is the third smallest value? (a) -5 (b) l (c) 1 (d) 22 b Let v = -5 + 4. Let g = 1.97 + 0.03. Which is the biggest value? (a) -2 (b) v (c) g c Let x(z) = z**3 + 6*z**2 + 8*z + 14. Let m be x(-5). Which is the smallest value? (a) 0.2 (b) m (c) -5/6 b Suppose 2*q + 2*q + 5*x = 27, -3 = -x. Suppose -3*t = -2*t - 2*o - 1, -3*t - q*o = 15. What is the third smallest value in t, 0.4, -1/5? 0.4 Let k be 58/((-2 - -1) + -914). Let i = 12/61 + k. Let q = -12 - -8. Which is the third biggest value? (a) i (b) 3 (c) q c Let f = 287 - 2006/7. Which is the second biggest value? (a) 4 (b) 0.5 (c) -3 (d) f b Let d = -91 - -91.1. Suppose l - 3*l - 7 = r, 0 = -2*r - 2*l - 4. Which is the smallest value? (a) d (b) -2/7 (c) r b Let y = -19 + 18.7. Let z be (-4)/(-10) - 7/30. Which is the biggest value? (a) 0.4 (b) y (c) z a Suppose 0 = 3*i - 2*i - 3. Suppose 0 = 4*n - 2 - 10. Let z = i - n. Which is the smallest value? (a) 0.5 (b) -0.5 (c) z b Let k = -0.83 + 0.13. Let w = k - -0.3. Let l = 1 - 1. What is the third biggest value in l, w, -1/11? w Let d = -1.15 + 1.8. Let p = 2.45 + d. Let w = p + -0.1. Which is the smallest value? (a) w (b) 1 (c) -0.1 c Suppose -9*k = -18*k - 18. Let q = -0.3 - 0.2. Let y be 2/(-4)*-3*-1. Which is the third biggest value? (a) q (b) k (c) y b Let b be 2*(2 - 0)/1. What is the fourth smallest value in 2/3, b, 2, -1? b Let u = -14 - -13.7. Let g be 45/(-20) - (1 - 1). Let q = -5/2 - g. Which is the third smallest value? (a) u (b) q (c) 3/2 c Let k be 4*1/(-28)*-2. Let o = -29 + 30. Which is the third smallest value? (a) -0.1 (b) k (c) o c Let l = 568/5 + -114. Let z = 73543/15 + -4907. Let k = z - -19/5. What is the second biggest value in 0.4, l, k? k Let x = 2/63 + -1/7. Which is the second smallest value? (a) -25 (b) x (c) 0.2 b Let s = 5 - 4.88. Let w = s + -4.12. Which is the third biggest value? (a) 0.2 (b) w (c) 3/8 b Let t = 16 + -97/6. Which is the second smallest value? (a) t (b) -0.05 (c) 1 b Let z be 4/(-32) - 76/160. Which is the third smallest value? (a) 4 (b) -13 (c) -1/3 (d) z c Let f = 0 - 0.3. Let i = -9 - -11. Let o = -3.9 - -4.4. Which is the third smallest value? (a) f (b) i (c) o b Let r be (-4)/6 - (2 + 3 + -6). What is the biggest value in -1/6, 10, r? 10 Suppose 14 = -q - 0*q + 3*r, -16 = -2*q - 5*r. Let o = -0.7 - 0.4. Let l = 1.4 + o. What is the third smallest value in q, 0.4, l? 0.4 Let
{ "pile_set_name": "DM Mathematics" }
is the greatest common divisor of 148 and 185? 37 What is the greatest common factor of 179 and 2864? 179 What is the greatest common divisor of 264 and 297? 33 What is the highest common factor of 21 and 3? 3 What is the highest common factor of 66 and 24? 6 What is the highest common factor of 224 and 768? 32 Calculate the greatest common divisor of 38 and 52744. 38 What is the highest common divisor of 4968 and 23? 23 What is the greatest common divisor of 468 and 252? 36 What is the highest common factor of 47 and 1363? 47 What is the highest common factor of 1058 and 92? 46 Calculate the greatest common divisor of 2 and 214. 2 What is the highest common factor of 6666 and 66? 66 What is the highest common divisor of 10 and 10? 10 What is the highest common factor of 2 and 32? 2 What is the greatest common factor of 75 and 125? 25 What is the greatest common divisor of 240 and 32? 16 What is the highest common divisor of 212 and 3127? 53 What is the greatest common divisor of 797 and 2? 1 Calculate the highest common factor of 1926 and 54. 18 What is the greatest common factor of 13 and 1378? 13 Calculate the greatest common factor of 460 and 2415. 115 What is the highest common divisor of 128 and 20? 4 Calculate the highest common factor of 94 and 4. 2 Calculate the highest common factor of 1175 and 13865. 235 What is the highest common divisor of 149 and 1? 1 What is the greatest common divisor of 840 and 14? 14 What is the highest common divisor of 15868 and 4? 4 Calculate the highest common factor of 8989 and 202. 101 Calculate the greatest common factor of 147 and 21. 21 Calculate the highest common divisor of 2637 and 18. 9 What is the greatest common factor of 725 and 25? 25 Calculate the highest common divisor of 2816 and 96. 32 Calculate the greatest common factor of 172 and 23908. 172 Calculate the highest common divisor of 35 and 385. 35 What is the highest common factor of 615 and 15? 15 What is the highest common factor of 726 and 12? 6 Calculate the greatest common divisor of 42 and 1246. 14 Calculate the greatest common factor of 528 and 12540. 132 Calculate the greatest common divisor of 667 and 551. 29 Calculate the greatest common divisor of 80 and 1180. 20 Calculate the greatest common divisor of 735 and 30. 15 What is the highest common divisor of 14467 and 46? 23 What is the highest common factor of 266 and 70? 14 What is the highest common divisor of 5994 and 74? 74 What is the highest common factor of 185 and 26640? 185 Calculate the greatest common divisor of 2652 and 17. 17 What is the highest common divisor of 368 and 23? 23 Calculate the greatest common divisor of 7232 and 256. 64 Calculate the greatest common factor of 96 and 20. 4 What is the greatest common divisor of 35 and 252? 7 Calculate the highest common divisor of 72 and 3636. 36 Calculate the highest common factor of 24 and 1704. 24 What is the highest common factor of 74481 and 366? 183 What is the highest common factor of 793 and 13? 13 Calculate the highest common factor of 6414 and 24. 6 Calculate the highest common divisor of 6 and 48. 6 Calculate the greatest common factor of 406 and 154. 14 What is the greatest common divisor of 54 and 46? 2 Calculate the highest common divisor of 288 and 2712. 24 What is the highest common factor of 20 and 2980? 20 Calculate the highest common factor of 3664 and 56. 8 What is the highest common factor of 748 and 136? 68 What is the greatest common factor of 1176 and 5208? 168 Calculate the greatest common divisor of 10 and 11100. 10 Calculate the highest common factor of 160 and 288. 32 What is the greatest common divisor of 1224 and 272? 136 Calculate the highest common factor of 74 and 814. 74 Calculate the highest common divisor of 42 and 11907. 21 What is the greatest common factor of 62 and 4? 2 Calculate the greatest common divisor of 128 and 2016. 32 What is the greatest common divisor of 50 and 2050? 50 What is the greatest common divisor of 7864 and 16? 8 Calculate the highest common factor of 11 and 2794. 11 What is the highest common divisor of 12 and 716? 4 Calculate the greatest common divisor of 1686 and 18. 6 What is the greatest common divisor of 2230 and 60? 10 What is the greatest common divisor of 276 and 644? 92 What is the highest common divisor of 36 and 36? 36 What is the greatest common divisor of 551 and 1189? 29 Calculate the highest common factor of 8720 and 80. 80 What is the highest common factor of 171 and 399? 57 What is the highest common factor of 100 and 380? 20 Calculate the highest common divisor of 42 and 448. 14 Calculate the highest common divisor of 166 and 6. 2 Calculate the highest common divisor of 9920 and 310. 310 What is the greatest common factor of 32 and 16? 16 What is the highest common divisor of 51597 and 9? 9 What is the greatest common factor of 8 and 232? 8 Calculate the greatest common divisor of 150 and 80. 10 What is the highest common factor of 63 and 33264? 63 What is the highest common divisor of 50 and 9025? 25 Calculate the highest common factor of 180 and 13140. 180 Calculate the highest common factor of 210 and 147. 21 What is the highest common divisor of 14 and 50? 2 What is the highest common divisor of 115 and 25? 5 What is the greatest common divisor of 111 and 14097? 111 What is the highest common divisor of 43 and 43? 43 Calculate the greatest common factor of 1107 and 297. 27 What is the highest common divisor of 1748 and 836? 76 Calculate the greatest common factor of 18 and 384. 6 What is the greatest common factor of 1614 and 5111? 269 Calculate the highest common factor of 1 and 97. 1 Calculate the greatest common divisor of 328 and 1107. 41 Calculate the greatest common divisor of 342 and 27. 9 What is the greatest common factor of 287 and 8241? 41 Calculate the highest common factor of 535 and 642. 107 Calculate the greatest common divisor of 72 and 216. 72 Calculate the highest common divisor of 648 and 48. 24 What is the highest common divisor of 28 and 160? 4 What is the greatest common factor of 2451 and 304? 19 What is the greatest common factor of 8646 and 66? 66 Calculate the highest common factor of 65 and 1. 1 What is the highest common factor of 406 and 116? 58 What is the highest common divisor of 369 and 18? 9 What is the greatest common divisor of 510 and 450? 30 What is the highest common factor of 120 and 1380? 60 What is the greatest common divisor of 16 and 1056? 16 Calculate the highest common divisor of 32 and 7312. 16 Calculate the greatest common divisor of 2896 and 32. 16 Calculate the greatest common divisor of 2510 and 10. 10 What is the greatest common divisor of 667 and 696? 29 Calculate the greatest common factor of 3125 and 15. 5 What is the greatest common divisor of 219 and 12? 3 What is the highest common factor of 15 and 1125? 15 What is the greatest common factor of 1281 and 63? 21 What is the greatest common divisor of 8 and 162? 2 What is the greatest common divisor of 27 and 5157? 27 Calculate the greatest common divisor of 555 and 120. 15 Calculate the greatest common divisor of 5184 and 15. 3 What is the highest common divisor of 57 and 1349? 19 Calculate the highest common factor of 22 and 2684. 22 What is the highest common divisor of 3341 and 39? 13 What is the greatest common divisor of 5 and 315? 5 What is the highest common factor of 4431 and 21? 21 Calculate the highest common divisor of 3 and 867. 3 Calculate the greatest common divisor of 810 and 330. 30 Calculate the highest common factor of 783 and 2001. 87 What is the greatest common divisor of 24 and 72? 24 What is the highest common factor of 210 and 5082? 42 Calculate the highest common factor of 143 and 78. 13 What is the greatest common factor of 22 and 1518? 22 What is the greatest common factor of 182 and 2639? 91 What is the greatest common divisor of 462 and 42? 42 Calculate the highest common divisor of 3038 and 343. 49 What is the greatest common factor of 9438 and 24? 6 Calculate the highest common factor of 1415 and 5. 5 Calculate the highest common factor of 24 and 72. 24 Calculate the highest common factor of 126 and 138. 6 What is the highest common factor of 5812 and 8? 4 What is the highest common divisor of 24
{ "pile_set_name": "DM Mathematics" }
or k. 19 Solve -6*f + 319*j - 315*j - 18 = 0, 0 = 6*f + 4*j + 42 for f. -5 Solve -48*f + 453 = -7*o, 4*o + 12 = -o + 2*f - 30 + 9 for o. -3 Solve 0 = -7*t + 5*d - 53, -25 = 51924*d - 51929*d for t. -4 Solve 3*o = 2*u + 17, 641*u - 635*u + 81 = -o for u. -13 Solve 69 - 58 = 7*z + s, 8*s - 193 = -4*z - 53 for z. -1 Solve d - 579*r = -576*r + 21, -5*d - 5*r = -5 for d. 6 Solve 12*g - 14*g - 13*r + 15*r + 26 = 0, -2*g + 17 + 36 = -5*r for g. 4 Solve i - 9 = -40240*b + 40236*b - 1, -8*i = -5*b + 10 for b. 2 Solve -4*k + 25 = 17843*t - 17838*t + k, 0*t = 6*t + 4*k - 18 for t. -1 Solve 4*y - 7*s - 52 = 0, 44 = 85540*y - 85538*y + s for y. 20 Solve -7*z + x + 1 + 10 = -3*z, -3*z + 92*x = 91*x - 8 for z. 3 Solve -2*l = 4*r - 49274 + 49330, -5*r - l - 73 = 0 for r. -15 Solve 187579*v - 4*s + 27 = 187584*v, -v + 9 = -s for v. 7 Solve -414*n + 68 = -413*n - 11*x, -2*x = -2*n + 16 for n. 2 Solve 67*b = 7*b + 2*x + 232, -79*b + 5*x - 4 = -75*b for b. 4 Solve -11*w + 4*f = -8*w + 3*f + 50, -5*w = 2*f + 107 - 42 for w. -15 Solve 2*d - 42 = -5*u - 41 + 29, 42 + 41 = 6*u - 7*d for u. 8 Solve 13675*l - 16*v = 13673*l + 14, l + 28 = v for l. -33 Solve -3*m + 218 = -o, 4*m - 185 - 53 = -25*o for m. 72 Solve 204*k - 155*k = -3*d + 224, 13*d + 4*k = -14*d + 32*d + 55 for d. -7 Solve 0 = h - 3*n + 17, 19 = -2*h + 93*n - 90*n for h. -2 Solve -36*a = -4*y - 23*a - 143, -2*y + 101*a - 96*a - 55 = -0*y for y. 0 Solve 60*g = 3*t + 65*g + 195, -4*g = -2*t + 134 for t. -5 Solve -2*i - 10 = 2*w, -5*w + 1289 - 1274 = 0 for i. -8 Solve 97 = 5*b - 24*l, 0 = 54*b - 58*b - 5*l + 2 + 2 + 1 for b. 5 Solve 5*h - 2*u + u - 34 = 0, -5*h + 46 = -288*u + 284*u for h. 6 Solve 406*n - 403*n - 83 = -4*c, -31 = 3*n - 6*n - 40 for c. 23 Solve 5*u - 171 - 192 = -4*a - 212, 0 = 5*u - 135 for a. 4 Solve -2*r - 106 = -6*n, -5993*n + 58 = -2*r - 5990*n for r. -5 Solve -3*v + 0*v = 2*c - 9*v + 4*v + 14, 49*c + 4*v + 555 = 0 for c. -11 Solve 5*q = -2*d, 217 = 17*d - 22*d - 98*q - 23*q for d. 5 Solve -73*c + 76*c - 5*r + 110 + 81 = 0, -c + 2*r = 64 for c. -62 Solve -11*t + 57 + 33 = 68, -12*d - 3*t - 54 = 0 for d. -5 Solve 2*i - 30 = 5*r, 4*r + 31095*i - 31094*i + 37 = 0 for r. -8 Solve -4*p = 4*b - 12, -6*b + 24*b = 18*b - 4*p for b. 3 Solve -5*i + 747*m - 82 = 753*m, -m = 3*i + m + 46 for i. -14 Solve -2*t + 3*z - 31 = -3*t, 4*z - 7008 = 4*t - 7084 for t. 22 Solve 4*g + 3*i + 56 = 0, 4 - 13 = 5*g + 10*i + 4 + 74 - 17 for g. -14 Solve -1244718*c - 6*k = -1244722*c - 10, 0 = -3*c - k + 9 for c. 2 Solve -14*r + 4*k + 52 = -270, -2*k + 30 + 39 = 2*r + r for r. 23 Solve 4*m + 4*v = 120, -2*v - 2049 + 2115 = 0 for m. -3 Solve 0 = 19*f - 15*f - 4*b + 88, 3*f + 5*b + 80 = -61 + 43 for f. -26 Solve -4*o = -5*a - 49, -4*o = a - 112 + 117 for a. -9 Solve 615 - 596 = 5*o - 2*d, -2*d = -4*o + 14 for o. 5 Solve -5*v - 40*m = -32*m - 7*m, -3*v - 5*m - 88 = 0 for v. 4 Solve -13 - 42 = -16007*p + 16011*p - 5*z, -56 = 5*p - 2*z for p. -10 Solve -7*c + 3*m + 8 = 0, 4*c - 189*m - 186*m = -374*m + 6 for c. 2 Solve -25*g - 68 = 3*n - 596, 5*g - 110 = 5*n - 10*n - 0*g for n. 1 Solve 3*i + 44 = -2*o, -1053 = -107*i - 2551 for o. -1 Solve 16*j - 71 = -5*u, -12*u + 9*u - 11 = -3*j + u + 27 for j. 6 Solve -101975*u + 29 = m - 101967*u, -3*u + 81 = -6*m for m. -11 Solve -2*z + 138 = 27*i - 24*i, 3*i - 117 = 8*z + 51 for i. 48 Solve 0 = -27*o + 2*u - 316, 1645*o + 2*u = 1644*o - 20 for o. -12 Solve 0 = 14*d - j + 373 + 423, 0 = 3*d - 84*j + 89*j + 181 for d. -57 Solve -3*c = -7*r + 269 - 217, 6*c = -r - 89 for c. -15 Solve 5*g - 3*h - 373 = g - 389, -3*g - 5*h = -17 for g. -1 Solve 2243*k + 36 = 1122*k + 1120*k - 10*t, -k + 5*t = -9 for k. -6 Solve -7*m - 178 = 2*y - 34, 34 = 3*y - 2*m for y. -2 Solve 7*l - 34 = 3*v + 3*l - l, 0 = 28*v - 5*l + 166 + 68 for v. -8 Solve 5*u + 9*b = -127, -49*b = u - 53*b + 37 for u. -29 Solve 5*w + 3*r - 9 = -37, 69*r - 65*r + 38 = -7*w for w. -2 Solve -4*d = -3441*p + 3440*p - 10, -d + 3*p = -30 for d. 0 Solve f - 22 = -5*o, -5*f = -9*f + 3*o + 19 for f. 7 Solve -1 = a + 2*d, 152264*a - d = 152265*a + 5 for a. -9 Solve 20 = -4*y + x, -6503*y + 6498*y - x = 25 for y. -5 Solve 2*s = 7461*u - 7459*u + 34, u + 6*s = -3*u - 0*s + 52 for u. -5 Solve -i - 23 + 3 = 4*i, 3*u - 14*i = 12637 - 12578 for u. 1 Solve -10 = 5*p, -10*g + 0*p + 9 = -p - 33 - 140 for g. 18 Solve -3*v + 4*q + 5244 = 5309, 3*q - 42 = 0 for v. -3 Solve c + 12 = -637*q + 623*q, -4*q + 4*c = 72 for q. -2 Solve 5*t - 50 = -5*x, -72874*t - 3*x = -72879*t - 54 for t. -3 Solve -11 = -2*p - 4*r + 37, 0 = -12*p + 4*r - 9734 + 9910 for p. 16 Solve 53 + 20 = -2*g - 3*g - 4*o, 8*o - 58 = 2*g for g. -17 Solve 4*g = 5*g - 5*c + 64, 101*g = 135*g + 3*c + 46 + 54 for g. -4 Solve 13*u + 0*u + 29822 = 4*v + 29810, 0 = 2*v + 4*u + 36 for v. -10 Solve 40*f - 38*f = 13*z + 213, 6*f = -z + f - 37 for z. -17 Solve -4*g - 467 - 466 = -m - 932, 4*m - 4 = 8*g for g. 0 Solve 4446*q + 3 = 4449*q - 3*y, 3*q + 27 = -2*y for q. -5 Solve -3*u + 966487*o = 966482*o - 1, 0 = -4*u + 8*o for u. 2 Solve -5*a + 168*p - 173*p = -45, -144*p - 88*p = 3*a - 2317 for a. -1 Solve 40 = 4*l - 4*c, -40 - 31 + 15 = -3*l - 4*c + 9 for l. 15 Solve 155*w - 40 = 3*f + 160*w, 5*f = 2*w - 7*w - 70 for f. -15 Solve -5*l - o + 57 + 1 = 3*l, -3*l - 10*o - 7*o + 15*o = -12 for l. 8 Solve -i + 2*i - 115 = -60*h, -5*h + 2*i = -3*h - 14 for h. 2 Solve -2*u - 3 = -8*d - 19, 14*d = 19*d - 3*u + 7 - 18 for d. -5 Solve -9599 = 2*n - 2*b - 9629, -n + 5*b = -27 for n. 12 Solve 4*i - 5*b + 11107 = 11159, b = 24*i - 80 for i. 3 Solve t + t - 32949*p + 3 = 5*t - 32954*p, -4*p + 3 = 3*t for t. 1 Solve -169*q - 2*y = -493, -3*q = 2*q + 2*y + 190 - 381 + 190 for q. 3 Solve -24*k + 22*k = -w - 9, 0 = 4439*w - 4438*w - 5 for k. 7 Solve -2*m + 3*t = -16, -253 = -2*m - 2*t - 247 for m. 5 Solve -4*f + 600*b - 605*b = 84, -2*b - 56 = -4*f for f. 4 Solve -2*c + 168 = 16*i, -c - 12*i + 47 = -81 for c. -4 Solve 35*g - 38*i - 248 = 31*g, i - 19 = -5*g for g. 5 Solve 5*l = 5*w + 10952 - 10637, 4*w + 253 = 5*l for w. -62 Solve 2*a + 0*a - 38 - 146 = -4*p, -10*p - 92 = -12*p for a. 0 Solve -33709*i = 5*p - 33714*i + 3 + 7, i = -4*p + 22 for p. 4 Solve 69*d - 63*d - s - 25 = 0, 0 = d + d - 2*s for d. 5 Solve -2*b = 78*p - 79*p - 6, -105 = -b + 9*p for b. -3 Solve 76 = g + 568*u - 561*u, -23 = g - 2*u for g. -1 Solve 5*f - 22 = v - 63, 2*v - 4*v - 2*f = -15069 + 15095 for v. -4 Solve 4*v - 2*l + 12567 - 12641 = 0, 0 = -5*v - 2*l - 47 for v. 3 Solve d - 3*y = 30, -23*y - 35 - 12 - 183 = -9*d + 4*d for d. 0 Solve 0*b + 7*b - 31 = 5*b + 5*r, 0 = 3*b + 2*r + 1 for b. 3 Solve -d + 4*a + 5 - 47 = 81, -129 = -218*d + 221*d - 4*a for d. -3 Solve -4*y - 25 = -f + 12 - 41 + 18, 0 = -5*y - 9*f + 3 for y. -3 Solve 4*b + 28*n = 180, -4*b - 17*n - 23 = -18*n for b. -4 Solve 20*a - 26*a + 64 = -l - 15*a, -91 = 4*l + 3*a for l. -19 Solve 142 = 5*m - x + 272, 0 = 5*m - 5*x + 150 for m. -25 Solve -33*l + v + 17 - 75 = 0, v - 1 = -4*l - 17 for l. -2 Solve -21 = -3*c + 2*w, 0*w - 21 = -c + w - 11 for c. 1 Solve 21*t + 111 = -268*i + 273*i, 7*t - 2*i + 36 = 0 for t. -6 Solve 3*f = -2*l + 9, -249*l + 254*l - 36 = -3*f for l. 9 Solve -46*j = -5*q + 69*j + 59 + 306, -2*q - 26 = -3*j for q. -19 Solve -5*u + 20 = 0, -86*r - 2*u = 47*r - 267 + 2293 + 227 for r. -17 Solve 50*w - 589*w + 543*w - 4 = -4*o, 3*w = -4*o + 4 for o. 1 Solve -5*n - 36 = -9*s + 6*s, 15*n - 5 + 4 = -6*s - 4 for s. 7 Solve 33*r - 4*k + 25 = 36*r, 4*r = -5*k + 30 for r. -5 Solve 4*v - 48 = 2*s, 40*v - 3*s - s - 75 = 39*v for v. 3 Solve 208*i + 6*z + 10 = 209*i - 5*z, -4*i - 2 = -2*z for i. -1 Solve -48*t - 182 = -14*g + 12*g, -45 = -3*g - 4*t for g. 19 Solve -5*i + 3*a + 11 = 0, 4*i - 9*i + 2*a + 245 - 465 + 234 = 0 for i. 4 Solve u - 19 = -3*i, -12 = -36619*u + 36619*u - 4*i for u. 10 Solve 55 = 4*c + c + 13*v, -17*v + 161 = -c - 15*v + 195 for c. 24 Solve 5*d + 3*m = 31, 3426*d - 2*m - 11 = 3423*d for d. 5 Solve o + 2*z - 4 = 0, 2*o = 8*o - 6*o - 3*z - 3 - 3 for o. 8 Solve 0 = -37*m + 38*m, -2*t - 4*m + 1 - 5 = -5*t + 5 for t. 3 Solve -13 = -2*i - n, -691798*i + 3*n + 33 = -691796*i for i. 9 Solve 0 = 238*t - 234*t + j + 31, 3*j + 47 = 38 for t. -7 Solve 0 = -5*q + 3*b + 6599 - 6616, -31 = -7*q + 18*q - 5*b for q. -1 Solve 0*t - 6*t + 9*t - 5*t = 3*l + 22, -2*t = -
{ "pile_set_name": "DM Mathematics" }
ters picked without replacement from bewbjwbb. Give prob of sequence ebw. 1/42 What is prob of sequence xq when two letters picked without replacement from {f: 1, d: 2, q: 1, x: 3}? 1/14 What is prob of sequence pmn when three letters picked without replacement from mmpjnzmnnmm? 1/66 What is prob of sequence sx when two letters picked without replacement from xsssxx? 3/10 Three letters picked without replacement from fuhdnfdffsuhnns. What is prob of sequence uds? 4/1365 Calculate prob of sequence mjfo when four letters picked without replacement from omofmjo. 1/140 Calculate prob of sequence ye when two letters picked without replacement from yeyeeyyeeyyye. 7/26 Four letters picked without replacement from kkkapkargakkkrkpk. What is prob of sequence kpap? 9/9520 Three letters picked without replacement from {u: 4, f: 6}. What is prob of sequence ufu? 1/10 What is prob of sequence em when two letters picked without replacement from {x: 1, u: 1, m: 1, q: 2, e: 1, h: 1}? 1/42 Calculate prob of sequence vn when two letters picked without replacement from {v: 16, n: 4}. 16/95 Two letters picked without replacement from {x: 10, c: 2}. What is prob of sequence xc? 5/33 What is prob of sequence hiou when four letters picked without replacement from {i: 1, o: 2, u: 1, c: 2, h: 1}? 1/420 What is prob of sequence zz when two letters picked without replacement from vzvzvzzzvczlc? 5/26 Calculate prob of sequence ggg when three letters picked without replacement from ggggg. 1 Four letters picked without replacement from {x: 10, p: 4}. Give prob of sequence ppxx. 45/1001 Four letters picked without replacement from {q: 7, m: 2}. Give prob of sequence qmqm. 1/36 Calculate prob of sequence bs when two letters picked without replacement from {s: 1, m: 2, h: 3, b: 1}. 1/42 What is prob of sequence euub when four letters picked without replacement from ueueueeebuuuu? 7/572 Two letters picked without replacement from vdvjyrvjdyyvr. Give prob of sequence yd. 1/26 Calculate prob of sequence uwg when three letters picked without replacement from ygygeuguwgiiiw. 2/273 Three letters picked without replacement from {o: 2, w: 3, q: 4}. What is prob of sequence qoo? 1/63 What is prob of sequence kkf when three letters picked without replacement from vfnkk? 1/30 What is prob of sequence dd when two letters picked without replacement from {k: 3, d: 3, l: 3, p: 2, m: 7}? 1/51 Two letters picked without replacement from fofljjmoe. What is prob of sequence of? 1/18 Calculate prob of sequence xhi when three letters picked without replacement from {i: 1, x: 1, h: 2, a: 2, e: 1}. 1/105 Four letters picked without replacement from {m: 7, g: 4}. What is prob of sequence mmmg? 7/66 What is prob of sequence rz when two letters picked without replacement from {z: 9, b: 5, r: 2}? 3/40 Four letters picked without replacement from {l: 7, d: 5}. What is prob of sequence dldd? 7/198 What is prob of sequence ow when two letters picked without replacement from wwywoyybww? 1/18 Three letters picked without replacement from vcvcklh. Give prob of sequence kvv. 1/105 What is prob of sequence pv when two letters picked without replacement from {p: 2, v: 11}? 11/78 What is prob of sequence oe when two letters picked without replacement from {o: 3, e: 1}? 1/4 Two letters picked without replacement from qqjqjjkkqoe. Give prob of sequence jj. 3/55 Calculate prob of sequence xxx when three letters picked without replacement from {x: 6, s: 12}. 5/204 Calculate prob of sequence qy when two letters picked without replacement from {y: 1, z: 1, i: 1, q: 1, j: 1}. 1/20 Calculate prob of sequence yq when two letters picked without replacement from {y: 7, q: 2, b: 7}. 7/120 Two letters picked without replacement from rrr. What is prob of sequence rr? 1 Two letters picked without replacement from cjuqtiqcuquu. What is prob of sequence jc? 1/66 What is prob of sequence ppoo when four letters picked without replacement from pooppppppppp? 1/66 Two letters picked without replacement from lvlvqqljvqjvqvqjq. Give prob of sequence jl. 9/272 Calculate prob of sequence rrrc when four letters picked without replacement from {c: 1, n: 1, r: 3}. 1/20 What is prob of sequence xd when two letters picked without replacement from xddxddxdxd? 4/15 Two letters picked without replacement from {r: 2, q: 4, s: 2, h: 1, w: 5, d: 1}. Give prob of sequence qd. 2/105 Two letters picked without replacement from {t: 5, q: 15}. What is prob of sequence tt? 1/19 Three letters picked without replacement from {n: 1, o: 2, l: 1, g: 1, u: 2}. What is prob of sequence gul? 1/105 Calculate prob of sequence ha when two letters picked without replacement from aehsshasha. 1/10 What is prob of sequence mk when two letters picked without replacement from {d: 4, o: 1, k: 3, m: 7, j: 1}? 7/80 Calculate prob of sequence hhqh when four letters picked without replacement from hqhhhqq. 3/35 Calculate prob of sequence qsq when three letters picked without replacement from rrgsgqgggrqggrqsgg. 1/408 What is prob of sequence iw when two letters picked without replacement from tmmwtitmiintt? 1/52 Two letters picked without replacement from {f: 1, s: 1, t: 5, z: 1, m: 2}. What is prob of sequence st? 1/18 Two letters picked without replacement from {k: 1, r: 1, j: 1, p: 1, f: 1}. What is prob of sequence rk? 1/20 Three letters picked without replacement from ppspqsessfccfffce. Give prob of sequence cpp. 3/680 What is prob of sequence rx when two letters picked without replacement from {o: 1, r: 1, p: 4, x: 2}? 1/28 Calculate prob of sequence ko when two letters picked without replacement from {o: 3, x: 3, i: 1, k: 3}. 1/10 What is prob of sequence eiii when four letters picked without replacement from {i: 9, e: 5}? 15/143 Four letters picked without replacement from ppxaazupagza. Give prob of sequence xzgz. 1/5940 What is prob of sequence eue when three letters picked without replacement from {n: 2, e: 2, i: 4, u: 7, s: 2, m: 2}? 7/2907 Three letters picked without replacement from zeoetyvz. What is prob of sequence zve? 1/84 Four letters picked without replacement from lgkssizzskzzglszszgs. What is prob of sequence lksi? 1/4845 Three letters picked without replacement from oeiesseeeeeeeeeee. Give prob of sequence eee. 143/340 Calculate prob of sequence ki when two letters picked without replacement from {z: 4, k: 1, c: 3, i: 2, h: 2}. 1/66 What is prob of sequence bwij when four letters picked without replacement from bajbwin? 1/420 Calculate prob of sequence io when two letters picked without replacement from fffiffioiifff. 1/39 Four letters picked without replacement from {x: 1, o: 1, i: 1, c: 1, h: 1}. What is prob of sequence oxcc? 0 Calculate prob of sequence ac when two letters picked without replacement from {a: 1, c: 2}. 1/3 What is prob of sequence qlqq when four letters picked without replacement from {l: 3, q: 4}? 3/35 Four letters picked without replacement from {e: 4, v: 1, z: 7, i: 6}. What is prob of sequence zeiz? 7/510 Four letters picked without replacement from eeeeeeeee. Give prob of sequence eeee. 1 What is prob of sequence vk when two letters picked without replacement from {c: 3, t: 7, b: 1, v: 5, k: 2}? 5/153 Calculate prob of sequence js when two letters picked without replacement from zyzszszjsjzsyzy. 4/105 Calculate prob of sequence uu when two letters picked without replacement from hhuhuhhhhuuhhhuuhh. 5/51 Two letters picked without replacement from qwoojw. Give prob of sequence oo. 1/15 Calculate prob of sequence nwn when three letters picked without replacement from pbnwn. 1/30 What is prob of sequence ahv when three letters picked without replacement from qvqhaaa? 1/70 Three letters picked without replacement from nooidow. Give prob of sequence idn. 1/210 Three letters picked without replacement from ddaddssddssdad. What is prob of sequence sas? 1/91 What is prob of sequence nwkn when four letters picked without replacement from kppxwwnkkwnxk? 1/715 What is prob of sequence vm when two letters picked without replacement from {m: 2, v: 3, y: 12}? 3/136 Two letters picked without replacement from {o: 5, j: 1, e: 4}. Give prob of sequence oe. 2/9 Two letters picked without replacement from {e: 3, c: 2, d: 7, u: 1, b: 4, f: 1}.
{ "pile_set_name": "DM Mathematics" }
rms in -527*r**2 - 512*r**2 - 506*r**2 + 2080*r**2 - 511*r**2. 24*r**2 Collect the terms in -12*s**2 - 4*s**2 + 13*s**2 - 9*s**2. -12*s**2 Collect the terms in 90153*p**2 - 90152*p**2 - 669*p + 669*p. p**2 Collect the terms in 1706*a**2 - 2415*a**2 - 3271*a**2. -3980*a**2 Collect the terms in -908*z**3 + 455*z**3 + 454*z**3 + 441 - 441. z**3 Collect the terms in 0 + 21789*b + 0. 21789*b Collect the terms in -577*q + 105*q**2 - 95*q**2 + 578*q. 10*q**2 + q Collect the terms in 410*z - 1915 + 3832 - 1917. 410*z Collect the terms in 1298*m**2 + m**3 - 472*m**2 - 471*m**2 - 355*m**2. m**3 Collect the terms in -a**2 + 21 - 41*a**2 - 21. -42*a**2 Collect the terms in s**2 + 175*s + 174*s + 2 - 349*s. s**2 + 2 Collect the terms in -23589*f - 33 + 23589*f + 33 + f**2. f**2 Collect the terms in -35*o - 99*o + 7*o - 25*o + 35*o. -117*o Collect the terms in 43551657*o - 43551657*o + 9*o**3. 9*o**3 Collect the terms in -130*q + 38*q + 30*q + 27*q + 30*q. -5*q Collect the terms in -1716 + 1716 + 118*g. 118*g Collect the terms in 8*k**3 + k**3 - 2*k**3 + 2*k**3 - 306*k + 306*k. 9*k**3 Collect the terms in -141*h**3 - 495*h**3 - 447*h**3 + 54*h**3. -1029*h**3 Collect the terms in 332*v - 292*v + 3*v**3 - 2*v**3. v**3 + 40*v Collect the terms in -32 + 71 - 7*w - 45. -7*w - 6 Collect the terms in -7 + 4457*z**2 - 10 + 17. 4457*z**2 Collect the terms in -d**3 - 32 - 3*d**3 - 65 + 110. -4*d**3 + 13 Collect the terms in 32 - 78*h - 235*h + 44. -313*h + 76 Collect the terms in -5779*t**3 - 15 + 21 + 5778*t**3. -t**3 + 6 Collect the terms in 948 + 117*i**2 + 116*i**2 - 344*i**2 + 109*i**2. -2*i**2 + 948 Collect the terms in 14 - 2*b + 15 - 17 + 3*b - 12. b Collect the terms in -382 - 22*h - 56*h + 762 + 129*h - 380. 51*h Collect the terms in 38695*w**2 - 38695*w**2 + 2*w**3. 2*w**3 Collect the terms in 11*d + 60*d + d**3 + 6 + 79*d. d**3 + 150*d + 6 Collect the terms in 76*x - 64*x + 4*x + 7*x + 97*x. 120*x Collect the terms in -218*p - 210*p - 234*p + 655*p. -7*p Collect the terms in -620 + 620 - 400*b**2 + 396*b**2. -4*b**2 Collect the terms in 3160 + 3*s**2 + 2452 - 6*s**2. -3*s**2 + 5612 Collect the terms in -2*o**3 + 0*o + 0*o + 574*o**2 - 581*o**2. -2*o**3 - 7*o**2 Collect the terms in 21*m**2 + 16*m**2 - 42*m**2 - 11*m**2. -16*m**2 Collect the terms in 53420 - 6*p**3 - 53420 - 4*p**3. -10*p**3 Collect the terms in 25328573*f - f**3 - 25328573*f - 335*f**2. -f**3 - 335*f**2 Collect the terms in -2120*u**2 - 2228*u**2 + 4329*u**2. -19*u**2 Collect the terms in -40*h - 36*h - 39*h + 135*h - 22*h. -2*h Collect the terms in -48 + 101 + 189*b - 53 + 34*b. 223*b Collect the terms in 2*i + 15*i**2 - 3*i**2 - 195 - 9*i**2. 3*i**2 + 2*i - 195 Collect the terms in -952 + 952 + 76646*q**2. 76646*q**2 Collect the terms in -24*x**3 + 38*x**3 - 17*x**3 - 14*x**3. -17*x**3 Collect the terms in 4531688042 + 9*v**3 - 4531688042. 9*v**3 Collect the terms in -55 - 26 + 87 + 7*d. 7*d + 6 Collect the terms in 1008*s - 12*s**2 - 12*s**2 - 991*s + 8*s**2. -16*s**2 + 17*s Collect the terms in 631*l**2 - 29626*l**2 + 1775*l**2 - 24955*l**2. -52175*l**2 Collect the terms in -6 - 35*n + 53*n + 56*n - 3. 74*n - 9 Collect the terms in 22*f**2 - 8*f**2 - 7*f**2 - 6*f - 7*f**2 - 9*f**3. -9*f**3 - 6*f Collect the terms in 895*o - 895*o + 124*o**3. 124*o**3 Collect the terms in -26*d - 34*d**2 - 24*d + 40*d + 42*d - 32*d. -34*d**2 Collect the terms in -3729 + 3729 + 247*j**2. 247*j**2 Collect the terms in -352325 - 6*i + 352325. -6*i Collect the terms in -13533*n - 12648*n + 26182*n. n Collect the terms in -58835 - 3*c + 58835 - 45*c**2 - 2*c. -45*c**2 - 5*c Collect the terms in 69 - 133 + 65 + 68*g + 83*g. 151*g + 1 Collect the terms in -5 + 3 - 4*f + 6 + 2*f + 6*f. 4*f + 4 Collect the terms in -112*s**3 - 192*s**3 + 41*s**2 + 24*s**2. -304*s**3 + 65*s**2 Collect the terms in -7103*h - 7095*h - 743 + 743 + 14194*h. -4*h Collect the terms in -71728*j**2 + 143528*j**2 - 71746*j**2. 54*j**2 Collect the terms in -457009799402 + 457009799402 + 6*b**2. 6*b**2 Collect the terms in -514*l - l**2 + 149*l - 4*l**2 + 2*l**2. -3*l**2 - 365*l Collect the terms in 42739 - 42740 - 4*f - 10*f. -14*f - 1 Collect the terms in 24 - 70 + 23 + 15*h + 23. 15*h Collect the terms in -59*x - 133*x - 250*x. -442*x Collect the terms in 19*v - 9717 - 52*v + 32*v. -v - 9717 Collect the terms in 1376*r**2 + 771*r**2 + 1 - 10785*r**2. -8638*r**2 + 1 Collect the terms in 1114*h**2 + 230*h**2 - 594*h**2. 750*h**2 Collect the terms in -47 - j**2 + 121 + 0*j**2 + j**2 - 75 - 4*j**2. -4*j**2 - 1 Collect the terms in -939 + 2824 + 9*j**2 - 945 - 940. 9*j**2 Collect the terms in 965*v**2 - 564*v**2 - 400*v**2 - 113. v**2 - 113 Collect the terms in 269*a**2 + 40*a**2 - 312*a**2. -3*a**2 Collect the terms in 2 - 29 + 4 + y + 52 - 29. y Collect the terms in 297*a + 301*a - 881*a**3 + 301*a - 899*a. -881*a**3 Collect the terms in -22 + 5*b**2 + 18*b**3 + 28*b**3 + 48 - 26. 46*b**3 + 5*b**2 Collect the terms in -d**3 + 6 - 47*d**3 - 3 - 85*d**3. -133*d**3 + 3 Collect the terms in -4 - 1346*c + 452*c + 440*c - 10 + 455*c. c - 14 Collect the terms in -799*t**3 - 893*t**3 + 640*t**3 - 1837*t**3. -2889*t**3 Collect the terms in -968*r**3 + 1823*r**3 - 845*r**3. 10*r**3 Collect the terms in 2*g**3 + 4110 - 2018 - 2106. 2*g**3 - 14 Collect the terms in 3*o + 150 + 4*o - 82 - 91. 7*o - 23 Collect the terms in -7*m - 288*m**2 - 306*m**2 + 7*m - 92*m**2. -686*m**2 Collect the terms in 2*o - 5*o - 48*o**3 - 1 - 50*o**3 + 32. -98*o**3 - 3*o + 31 Collect the terms in 109 + 3*k + 139 + 118 - 476 + 110. 3*k Collect the terms in 428*p - 179*p - 192*p. 57*p Collect the terms in -2*k**3 + 2 + 4*k + k**3 - 5*k. -k**3 - k + 2 Collect the terms in 41737 - 41737 + 2*b**3. 2*b**3 Collect the terms in -23165*d**3 + 46336*d**3 - 23170*d**3 + 6*d. d**3 + 6*d Collect the terms in -7250 - 7200 + 2*l + 14450. 2*l Collect the terms in -37*s - 4*s + 19*s + 45*s. 23*s Collect the terms in 22*y**2 + 7720*y - 7723*y - 44*y**2. -22*y**2 - 3*y Collect the terms in g + 0*g - 18*g + 27*g - 10*g + 12*g**2. 12*g**2 Collect the terms in -242*u - 244*u + 496*u. 10*u Collect the terms in 68 - 23 - 45 - 14*c**3. -14*c**3 Collect the terms in 28*f + 35*f + 208 - 762 - 61*f. 2*f - 554 Collect the terms in 194*a + 170*a - 541*a + 172*a. -5*a Collect the terms in 2*v**2 - 18*v**2 + 226 - 5*v**2 - 224. -21*v**2 + 2 Collect the terms in -500 - 113*v + 131*v + 500. 18*v Collect the terms in -11*w - 23*w - 33*w + 80*w - 20*w - 11*w. -18*w Collect the terms in -2*i**2 - 137279 + 137279. -2*i**2 Collect the terms in 1486*s**3 + 3635*s**3 + 778*s**3. 5899*s**3 Collect the terms in 2473*g**2 + 2479*g**2 + 25*g - 4953*g**2. -g**2 + 25*g Collect the terms in -2774*b - 3 + 5543*b + 3 - 2763*b. 6*b Collect the terms in 0*y**2 - 7*y**2 + 16*y**2 + 4 - 1 + 11*y**2. 20*y**2 + 3 Collect the terms in 1688*o + 20728 + 3*o**3 - 20728 + 1691*o - 3379*o. 3*o**3 Collect the terms in 1091*l + 2*l**3 - 551*l - 540*l + 4*l**3. 6*l**3 Collect the terms in -676*b - 707*b - 1 - 710*b + 1 + 2099*b. 6*b Collect the terms in -1 + 34*w**2 + 11*w**2 - 198*w**2 - 122*w**2. -275*w**2 - 1 Collect the terms in -50*u + 137 + 153 - 290. -50*u Collect the terms in -30*w + w - 4 - 85*w + 5*w - 44*w. -153*w - 4 Collect the terms in -128*v + 3768 + 23*v - 3768. -105*v Collect the terms in 197*h**3 - 559*h**3 + 186*h**3 + 181*h**3. 5*h**3 Collect the terms in 2 + 559*j**2 - 1621*j**2 + 405*j**2 + 530*j**2. -127*j**2 + 2 Collect the terms in 71726 - 71726 + 110*t. 110*t Collect the terms in -5 + 131*u + 5 - 74*u - 2*u**2. -2*u**2 + 57*u Collect the terms in -3 - 1 + 15031*j - 15028*j. 3*j - 4 Collect the terms in m**3 + 6*m - 10 - 2*m - 81 + 56 - 101. m**3 + 4*m - 136 Collect the terms in 3269 - 3269 + 19*s. 19*s Collect the terms in -94*i + 108*i + 98*i. 112*i Collect the terms in -33*j**3 + 18*j**3 - 8*j**3. -23*j**3 Collect the terms in 33*g - 25*g - 8*g - 1946*g**2. -1946*g**2 Collect the terms in 59918 - g**2 - 19966 - 19986 - 19966. -g**2 Collect the terms in 103*v + 66*v - 134*v. 35*v Collect the terms in -26*y**2 + 97*y**3 + 15*y**2 + 95*y**3 - 196*y**3. -4*y**3 - 11*y**2 Collect the terms in -2711*s**3 + 2536*s**2 + 5423*s**3 - 2536*s**2 - 2711*s**3. s**3 Collect the terms in -17*r + 5*r - 139*r**3 + 12*r. -1
{ "pile_set_name": "DM Mathematics" }
composite? True Is 7473349159 prime? False Is 2318018341 composite? False Is 5999297417 a prime number? False Is 10696686641 composite? False Is 865486634 a composite number? True Is 24564780589 prime? False Is 5119301471 a prime number? True Is 264878759 prime? True Is 310423307 a prime number? False Is 1702006213 prime? False Is 6669801949 a composite number? False Is 2948636707 a composite number? False Is 744307849 a composite number? True Is 7477612187 a prime number? True Is 16312745067 a prime number? False Is 378498479 composite? False Is 23191436897 a prime number? True Is 1466108851 a prime number? True Is 27700717661 prime? True Is 516360127 a prime number? False Is 666357053 composite? True Is 101907947987 a composite number? True Is 52540222699 a composite number? True Is 22215382429 composite? True Is 11666225687 composite? False Is 13100747659 composite? False Is 10122893953 composite? True Is 255945413683 a composite number? False Is 13435796821 a prime number? False Is 16266834497 composite? True Is 24854337923 composite? False Is 7792153261 a composite number? False Is 625050917 prime? False Is 306070927 a prime number? True Is 9266447419 a composite number? True Is 67543443799 a composite number? True Is 3591693751 composite? True Is 146683533935 prime? False Is 1394275607 prime? False Is 1186027837 prime? False Is 272125501237 a composite number? False Is 17836856021 a composite number? True Is 3327345763 prime? False Is 52454087255 composite? True Is 14307549523 composite? False Is 478007798 prime? False Is 18918569683 prime? False Is 3923461589 a prime number? False Is 90677186407 prime? False Is 81785203 composite? False Is 12799271195 prime? False Is 1419862849 a composite number? False Is 76738657 prime? False Is 25223805263 prime? True Is 4869954493 prime? True Is 3048369047 prime? True Is 156434800229 a composite number? False Is 182538467 composite? False Is 4111652785 a composite number? True Is 622051237 a composite number? False Is 55564349411 a composite number? True Is 62025119323 a composite number? False Is 835304567 composite? False Is 165137593351 prime? True Is 3115435397 prime? True Is 2043066073 a prime number? False Is 23913213917 a prime number? False Is 6065640871 a prime number? True Is 100724713399 prime? True Is 46616596813 prime? True Is 16094013239 composite? False Is 4508696251 a prime number? False Is 15626410123 a composite number? False Is 13515740093 a composite number? True Is 4389461849 a prime number? False Is 1292299003 prime? False Is 12365053153 composite? False Is 1552429393 composite? False Is 2840992559 composite? False Is 371525509 a prime number? False Is 434783696203 a prime number? False Is 18492676469 a prime number? True Is 1828776179 a composite number? False Is 51668733257 prime? True Is 2173262279 a prime number? False Is 575962379 composite? False Is 5923266757 prime? True Is 290759111 composite? False Is 2047194367 a prime number? False Is 44195489537 prime? False Is 5787346699 composite? True Is 1416934217 a composite number? False Is 99562513493 composite? False Is 53824774579 composite? False Is 8544667303 a composite number? False Is 15115380271 a composite number? False Is 39292661987 composite? True Is 3089440463 prime? False Is 3796258211 prime? True Is 14103072727 a prime number? True Is 472723687 prime? True Is 2004112249 a prime number? True Is 2584914931 prime? False Is 895870303 prime? False Is 39769344001 prime? False Is 334325283 prime? False Is 283881005 a composite number? True Is 1217097727 a composite number? True Is 22709083927 composite? False Is 331027327 composite? False Is 193346701 composite? False Is 89306221789 a composite number? False Is 4019185967 a composite number? False Is 7880849623 a prime number? True Is 153129631631 composite? False Is 2147215409 composite? True Is 931285039 composite? True Is 7746425233 a composite number? False Is 233755829 prime? True Is 330612525281 a composite number? False Is 17406078229 a prime number? True Is 38148419 a composite number? True Is 8559918667 a composite number? False Is 78980835839 composite? False Is 16733953 a prime number? False Is 12643739159 prime? True Is 3878812181 a composite number? True Is 497250553 a prime number? False Is 4036914127 a prime number? True Is 1847418839 prime? False Is 1740661757 prime? True Is 455513141 composite? False Is 16543282321 a composite number? False Is 467940509 prime? True Is 246865496393 prime? True Is 154705017557 a composite number? False Is 3812787707 a composite number? False Is 628955317 a prime number? False Is 115133945567 a composite number? False Is 13740205991 prime? False Is 792798081 a prime number? False Is 46856933 a prime number? False Is 380975071 composite? True Is 91160227 composite? False Is 1559980087 a prime number? True Is 3842787217 a composite number? True Is 187674172419 a prime number? False Is 19030088177 prime? False Is 1342767989 composite? False Is 1576235159 a prime number? False Is 863411 a prime number? False Is 22830575207 prime? False Is 22815213977 a prime number? True Is 14946938137 composite? True Is 4944822569 prime? False Is 2353908223 a composite number? True Is 1053967963 prime? False Is 25160171 composite? False Is 51313110769 a composite number? True Is 5619860777 a prime number? False Is 6530952107 a composite number? False Is 30936149819 a composite number? False Is 2721711533 prime? False Is 418443917 prime? True Is 51210117293 prime? True Is 146040667 a prime number? False Is 4239585991 prime? True Is 162312905179 a composite number? False Is 211976629 a composite number? True Is 7177179703 a prime number? True Is 15976350401 prime? False Is 3135878323 composite? True Is 13894511759 a composite number? False Is 1387595551 a composite number? False Is 52315201817 a composite number? False Is 1172726609 a prime number? False Is 4944354187 a composite number? True Is 152569163 prime? False Is 24560441879 prime? True Is 2432545331 a prime number? False Is 6480955127 a prime number? True Is 3105183827 a prime number? False Is 1556193469 composite? True Is 1631882719 composite? False Is 94382851 composite? False Is 2415927749 composite? True Is 1408878221 a composite number? False Is 54608761969 a prime number? True Is 368353723 a composite number? False Is 95887328763 prime? False Is 4791921718 composite? True Is 57713709587 composite? False Is 2528759113 prime? False Is 3750337901 a composite number? False Is 9293629627 a prime number? True Is 998265413 prime? True Is 21770087 a prime number? True Is 21899219999 composite? True Is 207818309 a prime number? False Is 10323616369 prime? False Is 92696963 prime? False Is 10339172521 prime? True Is 12982580441 a prime number? True Is 693144329 a composite number? False Is 42930721739 prime? True Is 34782123071 prime? True Is 284337607 a prime number? False Is 45513744663 composite? True Is 126024221 composite? False Is 75027659 prime? False Is 35425066013 prime? True Is 147271673 prime? False Is 2672880079 a prime number? True Is 14181846451 a prime number? True Is 756102481 a prime number? False Is 2395673219 a prime number? True Is 25301649137 composite? True Is 8375896693 a composite number? False Is 3916449799 composite? False Is 5273675483 a prime number? False Is 23760913457 composite? False Is 374218811 composite? True Is 11831208913 composite? False Is 15980311859 a prime number? False Is 40425821 prime? True Is 151799423 prime? True Is 144919601029 composite? True Is 12744701 composite? False Is 134230427237 a composite number? True Is 677385271 a prime number? True Is 1178217563 a composite number? False Is 1493202119 composite? True Is 5161901803 a composite number? False Is 758823607 prime? True Is 124807201 a composite number? False Is 3146668207 prime? False Is 1512447877 a composite number? False Is 165923027 prime? True Is 6701939641 composite? True Is 35919925967 composite? True Is 824475857 composite? False Is 288067081 composite? False Is 8035722001 prime? False Is 28551659141 composite? False Is 567681217 a prime number? True Is 944631251 a composite number? False Is 71453431967 a prime number? False Is 59617602527 a prime number? False Is 4180
{ "pile_set_name": "DM Mathematics" }
. Let m be (3/(-2))/(-2 + (-3)/(-2)). Let v be 81/6*(-2)/m. Determine s(v). 6 Let r(c) = 2*c. Suppose 11 = 3*t + 2. Let g = 15 + -9. Suppose t*w = 4*w + g. Calculate r(w). -12 Let l(z) = -2*z - 1 - 1052*z**3 - 1049*z**3 + 2102*z**3. Let s = -3 - -2. Determine l(s). 0 Let v(y) = -5*y**2 - 23*y - 2. Let w(l) = 6*l**2 + 25*l + 2. Let m(h) = -5*v(h) - 4*w(h). Give m(-15). 2 Let g(h) = 2*h + 39. Let x be g(-12). Suppose -2*r + 11 = -5*u, 4*r - x = -r. Let n(k) = 4*k**2 - k - 1. Determine n(u). 4 Suppose 4*k - 8 = 2*n, -n - 2*k - 1 = -k. Let y(c) be the second derivative of -1/12*c**4 + c - c**2 + 0 - 1/3*c**3. Calculate y(n). -2 Let j(h) = -8*h**3 - 18*h**2 + 29*h + 8. Let u(m) = 3*m**3 + 6*m**2 - 10*m - 3. Let o(z) = -4*j(z) - 11*u(z). Let g = 7 + -3. Give o(g). 9 Suppose -5*n - 41 = 2*y, 5*y = -0*n - n - 45. Let g = y + 14. Let q(c) = c - 7 + g + 3*c. Calculate q(1). 3 Let l(z) be the second derivative of z**4/12 - 5*z**3/6 + z**2/2 - 9*z. Suppose -5*k - s = -4 - 2, -5*s = 3*k + 14. Determine l(k). -5 Let l be 4 + (7 - 6 - 5). Let y(n) = -2*n + 5. What is y(l)? 5 Let w(g) be the third derivative of g**5/60 - g**4/4 + g**3 - 2*g**2. Suppose -25 = b - 31. Determine w(b). 6 Suppose -5*i = 2*k + 13 - 5, -3*i + 6 = 3*k. Let v be (-4)/k*102/(-4). Let s(p) = v - 7 - 3*p - 7 + p. Determine s(7). -11 Let j(s) be the third derivative of 1/6*s**4 + 0*s - 1/3*s**3 - 42*s**2 + 0. Give j(3). 10 Let y(k) = k**3 - k**2 - k. Let t(g) = 3*g**3 - 6*g**2 - 5*g + 2. Let r(n) = -t(n) + 2*y(n). Suppose -96 = -11*u - 52. Give r(u). 10 Let x(t) = -7 + 3*t**3 - 6 + 16 - 7*t**2 - 6 - 2*t**3 + 6*t. Let w = -2 + 2. Let d be w - (7 - 1)/(-1). Give x(d). -3 Let q be (-420)/126*-3*(-3)/5. Suppose 4*v - 3*s = -2*s + 51, 0 = -5*v + 5*s + 75. Let g be v/(-5)*15/q. Let i(c) = -c**3 + 6*c**2 - 3. Calculate i(g). -3 Let s(q) = -q**3 - 13*q**2 - 23*q - 17. Let o = 2358 + -2369. Calculate s(o). -6 Let n(w) = -2*w - w**2 - 6*w - w**3 + 2 + 10*w**2 - 1. Let h(x) = 10*x**2 - 2. Let p be h(-1). What is n(p)? 1 Let w be (-1440)/(-216) - 10/6. Let o(c) = 4*c - 19. Calculate o(w). 1 Let m(h) be the third derivative of -2*h**2 + 1/3*h**3 + 0 - 5/24*h**4 + 1/30*h**5 + 0*h. Let l(f) = -4*f**2 - 25*f - 3. Let g be l(-6). Determine m(g). 5 Suppose -2*i = 5*y - 14, 4*y + 0*i - 3*i - 2 = 0. Let u(o) = 2*o**3 - 2*o**2 - o + 1. Calculate u(y). 7 Let u(w) = w**2 - 10 + 10 + 6. Let k(g) = -6*g**2 - 31. Let p(f) = 2*k(f) + 11*u(f). Determine p(-3). -5 Let a(z) be the third derivative of -z**4/24 + z**3/6 - z**2. Suppose -p - 24 = 3*p. Let g(j) = -j**2 - 6*j + 6. Let o be g(p). What is a(o)? -5 Let o(w) = -6*w + 3*w - 5*w - 14 + 8*w**2 + 7*w**2 - 14*w**2. What is o(8)? -14 Suppose -10*w = -20*w. Let r(u) be the third derivative of 0 + w*u - 1/6*u**3 + u**2 + 5/24*u**4. What is r(1)? 4 Let x(b) = -b**2 + 3*b - 1. Let z be x(4). Let l(q) = -2803*q**2 + 1403*q**2 - 2 + 5*q + 1401*q**2. What is l(z)? -2 Suppose 3*o - 3 = 0, 0 = -2*z - 3*o + o + 20. Let y(x) = 5*x**2 - 46*x + 6. Determine y(z). -3 Let s(w) = -w**2 + 2*w + 9. Let v be s(3). Let p be 2*9/v - (-2 - -3). Let b(y) = -2*y + 2*y - y. Give b(p). -2 Let p(i) = -i**2 + 12*i - 29. Let z be p(7). Let s(g) be the first derivative of -g**2 + 7*g - 1. Give s(z). -5 Let l(v) = -v. Suppose 3*m = 4*u - 14, 5*m + 8 = -u - 0. Give l(m). 2 Let i(j) = -16*j - 5. Let l be i(2). Let h = -57 - l. Let u = 20 + h. Let z(d) = d**3 - 5. Determine z(u). -5 Let w = 46 - 39. Let l be ((-2)/4 - 0)*-4. Let f(r) = l*r - 3*r + 3 + 4. Determine f(w). 0 Let b(q) = q**3 + 15*q**2 - 15*q + 3. Let l(s) = -s**3 - 37*s**2 - s - 16. Let n be l(0). Determine b(n). -13 Let n(j) = -j**2 - 9*j - 8. Suppose 4*q = -5 + 45. Suppose -q*t - 99 = t. Determine n(t). -8 Let f be (-133)/(-28) - 2/(-8). Suppose 4*r + 1 - 25 = 0. Suppose -r*o = -o - f. Let y(s) = 15*s + 1. Determine y(o). 16 Let k(s) = 11*s + 1. Let x = -3 - -4. Let m be (-3)/(-18) + 110/60. Let y = x - m. Give k(y). -10 Let j(y) be the third derivative of y**4/6 - 26*y**3/3 - 139*y**2. What is j(16)? 12 Suppose 80 = 3*d + 7*d. Let t(c) = c**2 - 6*c - 10. Give t(d). 6 Let l = 17 + -16. Let z(p) = -l - 4*p + 4 + 5*p. What is z(-9)? -6 Let c(l) = l**3 - 4*l**2 - 7*l + 8. Suppose 24 = 5*j + j. Calculate c(j). -20 Let p be (-14)/(-3)*((-3)/2 - -3). Let o(i) = -3*i - 6. Give o(p). -27 Let r(t) = -4*t + t**2 - 6 - 1 + 0*t**2. Let f(z) = z + 1. Let c(i) = -3*i - 4. Let k(y) = 2*c(y) + 7*f(y). Let u be k(6). Calculate r(u). -2 Let d = 1450 + -1457. Let w(q) = -q**3 - 5*q**2 + 11*q + 6. Calculate w(d). 27 Let t be (-8)/(-32)*-4*-2. Let j(c) = -15*c - 5. Calculate j(t). -35 Let g(c) be the second derivative of -c**5/20 + 7*c**4/12 - 7*c**3/6 + 4*c**2 + c. Suppose 3*b = -12*b + 180. Suppose -b = -4*i + 12. What is g(i)? 2 Suppose -15 + 0 = 5*c. Let i(p) be the first derivative of -p**3/3 - 5*p**2/2 - p - 16. Determine i(c). 5 Let x(h) = h**3 - 2*h**2 - h + 2. Suppose -8*q + 21 = -q. Determine x(q). 8 Let j(h) = h**2 - 5*h - 5. Let w(q) = 22*q + 313. Let m be w(-14). Calculate j(m). -5 Let a(b) be the first derivative of b**4/4 + b**3/3 + 3*b**2 + 3*b + 262. Determine a(-2). -13 Suppose 8*a + 42 = 26. Let y(o) = 15*o - 4*o + 2 + 2*o. What is y(a)? -24 Let p(l) = -7*l**2 - 3*l - 14. Let y = -12 - -17. Let z(h) = -11*h**2 - 4*h - 21. Let s(x) = y*z(x) - 8*p(x). Let c = 2922 + -2927. Calculate s(c). 12 Suppose 0 = o - 0*h - 2*h - 520, -3*o + 5*h + 1557 = 0. Let q(v) = 4 + 8*v - 515*v**3 + o*v**3 - 4*v**2 + 0*v**2. Give q(-5). -11 Let p(q) be the third derivative of 0*q - 1/60*q**5 + 1/4*q**4 + 0 - q**3 + q**2. What is p(4)? 2 Let u(o) = -9*o**3 - 7*o**2 - 10*o - 21. Let y(b) = 5*b**3 + 4*b**2 + 5*b + 11. Let n be (-380)/(-65) + 4/26. Let s(f) = n*u(f) + 11*y(f). Calculate s(-4). -17 Suppose 4 = v + 8. Let h(p) = -p - 3. Let z(s) = s + 4. Let l(f) = v*h(f) - 3*z(f). What is l(-3)? -3 Let t(g) = g + 1. Suppose 3*h + 2*p + 4 = 1, 5*h + 5*p + 10 = 0. Let r = h - 8. Determine t(r). -6 Let d(k) = -k**3 + 5*k**2 + 10*k - 17. Let v = -372 - -378. What is d(v)? 7 Let l(b) = 2*b**3 + b**2 - 2*b + 1. Let x be l(1). Let a(d) be the third derivative of -1/60*d**5 + 0*d - 32*d**2 - 1/12*d**4 + 0 - 1/6*d**3. What is a(x)? -9 Suppose 0 = 4*v - 0*v. Suppose v = -6*w + 3*w + 3, -4*w = -4*c - 20. Let j(q) be the second derivative of -q**5/20 - q**4/6 + 2*q**3/3 - q. What is j(c)? 16 Let q(s) = -s**3 + s**2 + 5. Let i be q(0). Let l(g) = -3 - i - g + 4*g - g. Suppose 2*w + 24 = 6*w. Give l(w). 4 Let l be (-208)/(-24) - 2/(-6). Suppose j + l - 12 = 0. Suppose z = j*z. Let k(u) = -u**3 - u**2 - 3. Determine k(z). -3 Let v be 42/18 - 1/3. Let c(l) = 6*l**2 + 4 - 13*l**v + 6*l**2 - 10 + 7*l. What is c(4)? 6 Let p(y) = 5*y**3 + 7*y**2 - 3*y + 16. Let h(n) = -6*n**3 - 9*n**2 + 4*n - 16. Let z(x) = -4*h(x) - 5*p(x). What is z(0)? -16 Let m(g) = -10*g**3 - g - 8. Let y(a) = 2. Let w(z) = m(z) + 4*y(z). Determine w(1). -11 Let p(z) = 1. Let w(k) = k + 11. Suppose -2*j - b - 18 = -4*b, -4*j + b = 26. Let v(g) = j*p(g) + w(g). Suppose -3 = 2*s + 9. Give v(s). -1 Let g(z) = z**3 + z**2 - 19*z - 4. Let c be g(4). Let v(b) be the second derivative of 1/2*b**2 + b + c + 1/2*b**3. Give v(5). 16 Let j(k) = -5*k**2 + 7*k + 17*k + 2 + 4*k**2 - 33*k + 5*k. What is j(-7)? -19 Let p(g) be the third derivative of -g**5/30 - 47*g**4/24 - 25*g**3/6 + 30*g**2 - 2. Determine p(-23). -2 Let n(r) = -r**3 + 3 + 192*r**2 + 3 + 182*r**2 + 0 - 368*r**2. Let x be (1 - 0)*1 - -5. Determine n(x). 6 Let b = -165 - -167. Let y(s) = s**2 - 5*s - 10. Let w(i) = 14*i - 5*i**2 - 4*i + 10*i + 41. Let k(o) = b*w(o) + 9*y(o). What is k(-6)? -14 Let i(f) = -4*f**2 + 4*f + 1. Let b = -21 + 33. Suppose -3*l + b = l. Calculate i(l). -23 Let s be (5 - 0) + 15 + -18. Let v(p) = 10*p - 9*p**2 + 21*p**2 - 11*p**s + 8. What is v(-8)? -8 Suppose -22*q - 39 = -9*q. Let s(f) = 4*f + 4. Let d be s(q). Let o(y) = -y**2 - 7*y + 11. Calculate o(d). 3 Suppose 0 = -2*m - 3*x - 5, 9*m - 8*m + 3*x = -4. Let i(s) = -6*s**2 + 3*s - 2. Let l(h) = 23*h**2 - 13*h + 9. Let q(b) = -9*i(b) - 2*l(b). Calculate q(m). 9 Suppose a - 2*a + 56 = 0. Suppose 0 = o - 5*o + a. Suppose -5*x + o = -1. Let p(d) = d**2 - 3*d + 4. Calculate p(x). 4 Let c = 0 - 6. Let f(g) = -g**2 + g - 4. Let p(k) = -8*k**2 - 33. Let v(w) = 7*f(w) - p(w). Determine v
{ "pile_set_name": "DM Mathematics" }
w be z - 1*(2 + -1). Solve w*d = 8 + 1 for d. 3 Let n be -3 - (-4)/(4/7). Suppose 5*m - 11 = -4*g, 0*m + 19 = 5*m - n*g. Solve 0 = -0*f - m*f + 15 for f. 5 Let m = 14 + -7. Let a(b) be the first derivative of b**2/2 - 4*b + 1. Let y be a(m). Solve -j + 2*j = y for j. 3 Let a(d) = d - 5. Let z be a(7). Solve -z*x + 0 = 2 for x. -1 Let r(l) = -4*l + 1. Let q be r(1). Let y = 6 + q. Let p(b) = 4*b - 4. Let i be p(y). Solve 3*s + i = -s for s. -2 Let p(k) = k**3 - 2*k**2 - k - 4. Let n be p(3). Suppose 3*w = -t - 3, 0 = n*t + w + 3*w + 4. Solve 0*m + 4*m + 12 = t for m. -3 Suppose 5*m + h - 12 = 0, -3*h + 6*h = -m - 6. Solve 0 = 5*a - m - 2 for a. 1 Let q(o) = -o**3 - o**2 + 3*o - 2. Let j be q(-3). Solve -4*v + 12 = -j*v for v. -4 Suppose 0 = -2*o - 40 + 46. Solve 0 = u - o*u + 8 for u. 4 Suppose 0 = -4*s - 2*a - 1500, -s - 4*a - 1130 = 2*s. Let n be s/(-18) - 2/(-9). Suppose 0 = 4*g - 5*h - n, 2*g + 4*h - 4 = -0*h. Solve 5*w + g = w for w. -1 Let l(f) = f**2 + 3*f + 1. Let m be l(-2). Let u(q) = q**2 + 6*q - 1. Let i be u(-6). Let a be m/i*(-5)/(-1). Solve -a*g - 10 = 5 for g. -3 Let j be 4 - (3 - 1)/(-1). Solve -j = 3*z + 6 for z. -4 Let h(d) = -d**3 - d**2 - d - 1. Let t be h(-1). Suppose c + 13 = -5*y - 2*c, -4*y + c - 7 = t. Let f = 6 + y. Solve -f = 2*u + 6 for u. -5 Let f(h) = -h**2 - 5*h + 8. Let p be 4/14 - (-44)/(-7). Let d be f(p). Suppose 9*j - 11*j = 0. Solve -i + j*i = -d for i. 2 Suppose 4*o + 2*b - 7 = 5, o + b = 3. Solve o*f = 5*f + 2 for f. -1 Suppose 3*w + 5*b = -8, 0 = -2*w + 3*b + 8 + 12. Suppose -w*v + 20 = -2*f + 4*f, -f + 16 = 5*v. Let y be f/(-9)*(-6)/4. Solve g = y + 1 for g. 2 Let d(y) = y + 21. Let t be d(-20). Solve 0 = q - t - 1 for q. 2 Let j(q) = q**2 + q + 4. Let v be j(3). Let b(m) = m**2 - 6*m + 9. Let f be b(6). Suppose 2*z + f = -3*x + 34, 0 = 3*z - 15. Solve i = x*i - v for i. 4 Suppose -4 + 6 = y. Suppose -4*k + 10 = y. Suppose -k - 4 = -3*q. Solve -9 = q*a - 5*a for a. 3 Suppose 4*h = 4*r + 24, -2*h = h + r - 10. Solve 4*z - h = -0*z for z. 1 Let q = 8 + 29. Suppose 5*t + 12 = q. Solve t*g = 3*g - 6 for g. -3 Let d(p) = 3*p**2 + 6*p + 1. Let g be d(-4). Let z be 4/(-6) + (-16)/(-6). Suppose j - 2 = z. Solve -f - g = j*f for f. -5 Suppose 0 = f + 5*r, 3*f + f = -4*r. Solve y - 5 = -f*y for y. 5 Let h(s) = s**3 - 6*s**2 + s - 6. Let p be h(6). Solve -v + 4 - 6 = p for v. -2 Suppose -p + 2*s - 5 = 0, -5*p - s = -0*p - 8. Solve -3 = -2*h - p for h. 1 Let h(g) = -g**2 + g - 1. Let a be h(1). Let m be (-3 - 0)/a - 3. Solve m = 3*s - 2*s + 4 for s. -4 Let m = 13 + -15. Let p be m - 1 - (-1 - 2). Let w(z) = 4*z**2 - z - 1. Let b be w(-1). Solve -b*o - o = p for o. 0 Let v be (28/(-84))/(2/24*-1). Solve -4*d = -v - 0 for d. 1 Suppose 4*i - 12 = -2*d, i + 2*d - 13 = 4*d. Suppose -4*k - 8 = -5*w + 19, -5*k = i*w. Let j = 7 + k. Solve j = -b - 3*b for b. -1 Suppose s = -h, 0*h + 5*s + 40 = 3*h. Solve -h*w = -w for w. 0 Suppose -5*r + 108 = 3*g, 2*r - g - 43 = -2*g. Solve -5*h + 1 - r = 0 for h. -4 Suppose -2*n = -4*n + 8. Suppose -5*p + 1 = -n. Suppose 3*l - 3*o = 6, -3*o + 0*o = 2*l + p. Solve 4*t + 3 = -l for t. -1 Let q = 12 - -3. Let f = 27 - q. Solve f = 3*v - 0*v for v. 4 Suppose -18*r = -23*r + 30. Solve -r*h + 2*h + 16 = 0 for h. 4 Suppose 0 = 3*x - 6*x. Let d = x + 0. Suppose -5*z + 10 = -d*z. Solve 9 = -z*g - g for g. -3 Let t = 5 - 3. Let f be t/(-4) - 44/(-8). Solve -4*l = -9*l - f for l. -1 Let k(u) = -u**3 - 2*u**2 - u. Let j be k(-2). Solve 5*w - 23 - j = 0 for w. 5 Let k be 2/(-8) + (-36)/(-16). Suppose -2*l + 13 = k*u + l, 20 = 3*u + 5*l. Let a be -3 - (1 - 2) - -4. Solve -13 - a = u*o for o. -3 Let r(s) = -12*s - 1. Let w be r(-1). Let h = w + -7. Solve 3*m = -h - 2 for m. -2 Suppose 8*v + 2*v - 20 = 0. Solve 8 = v*c - 4*c for c. -4 Let b = -108 + 118. Solve 3*g - g + b = 0 for g. -5 Let f = -1 + 6. Solve -f*n + 9 = -1 for n. 2 Let m(c) = -2*c + 4. Let v be m(-4). Let s = v - 8. Suppose 2*h = h + s. Solve -d - h*d = -10 for d. 2 Let k = -15 + 19. Solve -k - 5 = 3*f for f. -3 Suppose 2*k - 1 - 5 = 0. Solve 0 = -k*x - x + 12 for x. 3 Let l(s) = -11*s + 2. Let z be l(-1). Solve z = -4*w + 33 for w. 5 Let g = -12 - -3. Let o be (2/2 - 2)*g. Suppose z - 51 = -4*m, -m - 5*z = -3*m + o. Solve -m = 2*p + p for p. -4 Let u = -24 - -4. Let p = u + 13. Let o = p - -24. Solve o = -3*q + 2 for q. -5 Let c be 0 + 0 - -2*1. Suppose -3*t = -12, 2*r - 4*t + 4 = -6. Solve -f = -c*f + r for f. 3 Suppose 2*u - 6*u - 6 = -3*i, -5*u = 0. Solve 0 = g - 0*g - i for g. 2 Let d be 2/6 - 16/3. Let x = 10 + d. Solve x*s = 4*s for s. 0 Let x(s) = -s**3 + 3*s + 1. Suppose -v + 4*p + 22 = 4*v, 0 = -4*p - 12. Suppose -l + 2*l = -v. Let z be x(l). Solve -z*i - 2*i = -25 for i. 5 Let h = -2 + 1. Let n = -4 + 5. Let g = n + h. Solve 5*z + g = 5 for z. 1 Let q(t) = t**3 + 5*t**2 + 4*t. Let i = 27 + -15. Suppose -3*k + 0*k - i = 0. Let w be q(k). Solve 0 = -s - 4 - w for s. -4 Let p = 4 + -4. Suppose p = -5*k + 1 + 9. Suppose 0*s - s + k = 0. Solve -6 = -0*o + s*o for o. -3 Let g = -18 - -21. Solve -6 = g*k - 5*k for k. 3 Suppose -5*b - m + 82 = -3*m, -5*b + 4*m = -84. Suppose 0*r = 4*r - b. Solve -r*f = -f for f. 0 Suppose -u + 2*u = 3*u. Solve 0 = v + 3 - u for v. -3 Let d(c) = -3*c - 25. Let g be d(-10). Solve 5*j + g + 0 = 0 for j. -1 Let k(i) = -3*i + 1. Let s be k(-1). Solve 2*o - s = o for o. 4 Let a(o) = -o**3 - 4*o**2 - 4*o - 3. Let q be a(-3). Suppose q = -5*z + z - 8. Let t be (z/(-3))/((-2)/(-18)). Solve -l + t*l = 15 for l. 3 Let p be (-1)/3 - 6/9. Let v be p*(-5)/(-1)*-3. Suppose -y - 2*y = -v. Solve -4*j = -5*j - y for j. -5 Let w be (-2)/6*0 + -30. Let u = 12 + w. Let r = u - -30. Solve -3*c = c + r for c. -3 Suppose 0 - 9 = -3*i. Solve i*a + 4 = -11 for a. -5 Suppose 0 = -5*k - 2*w - 98, 4*k + 3*w + 2*w = -75. Let n = k + 28. Solve 2*j = -n - 2 for j. -5 Let m be (4/(-5))/(8/(-20)). Suppose 3*q + 5 = -2*a - 8, -5*q - 26 = -a. Let k be 0/(2/a*-1). Solve i + 1 + m = k for i. -3 Suppose -1 = -4*z + 3, -103 = -3*a - z. Let f be a/8 + (-2)/8. Let n(k) = -9*k + 1. Let u be n(-1). Solve -f*i = i + u for i. -2 Let a be 9/(-2)*(-2)/3. Suppose 0 - 2 = y + 4*z, 3*z - 7 = -5*y. Suppose -y*l = -a - 1. Solve b = l*b for b. 0 Suppose 1 + 7 = 2*j. Solve f = 2*f + j for f. -4 Let w(u) = -u**2 - 4*u - 3. Let n be w(-2). Solve 3 = -x + n for x. -2 Let f(i) = -i**2 + 8*i + 5. Let n be f(7). Suppose -9*p + n = -7*p. Solve -4*x - p = 14 for x. -5 Let j(y) = -y - 4. Let t be j(-6). Suppose 0 = -t*k + r + 2, -5*k + 0*r - 2 = r. Solve -4*u - 7 - 5 = k for u. -3 Suppose 0 = 3*i + 2*i - 30. Let n = i - 1. Solve 0 = n*p - 0*p for p. 0 Suppose 2*i = -r - 0*i, 2*r = 3*i. Solve 3 = -3*y - r for y. -1 Let d = -8 + 13. Suppose 35 = -3*z - d*y, 3*z + 19 = y - 2*y. Let a = 8 + z. Solve -a*r = -r for r. 0 Let o(v) = v**3 + 5*v**2 - 2*v - 6. Let p be o(-5). Solve 8*k = 4*k - p for k. -1 Suppose 0 = -5*z - 4*s + 4, -5*s = -5*z - 10*s. Let x(f) = 4*f - 2. Let a be x(z). Solve 3*m + a = 2 for m. -4 Suppose c + c = -2*t + 2, 3*c + 27 = 3*t. Solve -t*r + 6 = 1 for r. 1 Let n(a) = -a + 5. Let b be n(8). Let y(h) = 2*h**2 + 5*h + 2. Let o be y(b). Solve -o*k = 8 - 33 for k. 5 Let s = 1 + 5. Suppose 0 = -r + 2*n + s, -3*r + 4*n = 2*r - 36. Solve 3*p - r = p for p. 4 Suppose -3*h + 12 = j + 2*j, -3*j + 8 = 2*h. Solve 0 = -l - 0 - h for l. -4 Suppose -9*t + 15*t = 30. Solve -t*a + 5 = -4*a for a. 5 Let k be 1 + 2/1 + -3. Suppose -r + v + 7 = 0, -5*v - 10 = -0. Suppose 0 = -s + 3*s - r*x - 19, -3*x + 1 = 5*s. Solve -s*i + i = k for i. 0 Let a be (8/1)/((-4)/(-6)). Let l = a - 8. Solve l + 21 = -5*c for c. -5 Suppose -5*o + 14 = -6. Suppose -1 = -2*x + 5. Suppose -4*r = -x*r. Solve -j + r*j = -o for j. 4 Let u be -2*(3 + 28/(-8)). Solve 0 = -2*x + u + 3 for x. 2 Suppose 5*z - 54 = -2*t, -5*t - 31 = 5*z - 91. Suppose 4*j = 6 + z. Solve -3*d - 16 = -j for d. -4 Suppose 3*z - 3*p + 2*p = 13, 5*z - 27 = 3*p. Suppose 2*i = -4*l - 4, -z*i + 6*i - 8 = l. Solve i*a = 4*a for a. 0 Suppose -6*y + 7*y = 6. Solve 4*a - 22 = -y for a. 4 Suppose 3*i = 2 + 4. Suppose 3*d = m - 15, m - 3*d = i*m + 9. Suppose -5*n + 3*u = -6, m*u = -5*n + 12 + 12. Solve 0 = -n*y + y for y. 0 Let t(f) = 10*f**2 - f + 1. Let v(m) = m**2 + 4*m + 1. Let b be v(-4). Let i be t(b). Suppose 0*j + i = 5*j
{ "pile_set_name": "DM Mathematics" }
nearest one hundred thousand? 20200000 Let g = -6.64 + 8.06. Let t = g - 1.420989. What is t rounded to 4 decimal places? -0.001 Let p = -224.38 + 4.38. Let n = -219.999215 - p. Round n to four dps. 0.0008 Let y = -217.106 + 10.006. Round y to the nearest ten. -210 Let f = 13.243 + -13.24309029. What is f rounded to six dps? -0.00009 Let u = 3728 - 4839. Let w(g) = -791*g**3 - g**2 - 2*g - 1. Let q be w(-1). Let x = q + u. What is x rounded to the nearest 100? -300 Let x = -32 - -38.2. Let u = 12.4 - x. Let q = u + -6.1999978. What is q rounded to 7 decimal places? 0.0000022 Let c = 15 + -16. Let j be (27/(-6))/(c/112). Suppose -2*d = -j - 728. Round d to the nearest 100. 600 Let v = -478.45158 - -478.3. Round v to 3 dps. -0.152 Let b = -4.895 - -8.998. Round b to the nearest integer. 4 Let d(u) = -3250*u**2 - 17*u - 39. Suppose 0*w + 3*x = 2*w + 37, -4*x - 30 = 2*w. Let j be d(w). Round j to the nearest one hundred thousand. -900000 Let m = -26658 - -26573.674. Round m to the nearest integer. -84 Let r = 78.2 - -8.8. Let p = -64 + r. Let c = p - 23.0000033. Round c to 6 dps. -0.000003 Let i(m) = -638*m + 194. Let p be (89/4)/1 - 30/(-40). Let f be i(p). Round f to the nearest one thousand. -14000 Let h be (-2)/(-2*5/(-410)). Let l be -12*(5 + -2 - (-7 + 1)). Let s be h/(l/116 - -1). Round s to the nearest one hundred. -1200 Let r(f) = -6978911*f**2 + 71*f - 14. Let m be r(3). Round m to the nearest one million. -63000000 Let j = 599 + -599.1156. Let s = j - -0.056. Round s to three decimal places. -0.06 Suppose -2*c + 229 = -427. Suppose 333*d - c*d + 41800000 = 0. What is d rounded to the nearest 1000000? -8000000 Let w = -56092.999969051 + 56093. Round w to seven decimal places. 0.0000309 Let c = 10948.01 + -11034. What is c rounded to the nearest integer? -86 Let x = -537.9835 + 538. Let h = -0.016498904 + x. Round h to 7 dps. 0.0000011 Let u = -256458 - -91238. Round u to the nearest one thousand. -165000 Let b = -818 - -817.657. Let y = b - -0.343000469. What is y rounded to seven dps? 0.0000005 Let r(a) = -2*a**2 - 15*a - 22. Let t be r(-2). Suppose t = -9*b - 4273 - 2243. What is b rounded to the nearest ten? -720 Let h = 2863.58 - 2929. Let j = -6.6128 - 0.0072. Let s = j - h. Round s to the nearest 10. 60 Let o(h) = 75*h**2 + 39*h - 95. Let l be o(45). Suppose l = m - 80465. What is m rounded to the nearest 10000? 230000 Let o(g) = g**3 + 3*g**2 + 5*g - 18. Let c be o(2). Let n = 6 + -8. Let q be n/(-8) + (-3)/c. Round q to the nearest ten. 0 Let g be 31 - 47 - (-7 - 2). Let p(m) = 1411456*m + 192. Let i be p(g). Round i to the nearest one million. -10000000 Let w be (1 - 2) + 1*7926/(-1). Let i be (w + 2)*(17 - 13). What is i rounded to the nearest one thousand? -32000 Let o = -76905.036171 + 76905. What is o rounded to 4 decimal places? -0.0362 Let j = -50719305 + 50719309.37000005. Let t = j + -4.37. What is t rounded to 7 dps? 0.0000001 Let k(c) be the second derivative of -203*c**5/2 - 2*c**3 - 11*c**2 + 3*c + 1. Let r be k(9). What is r rounded to the nearest 1000000? -1000000 Let r(f) = -24*f + 10. Let a be r(0). Let g be (-15)/((-1275)/a) + 428402/(-17). What is g rounded to the nearest one thousand? -25000 Let f = 6.683 + -0.203. Let g = 75 + -74.88. Let j = f + g. What is j rounded to the nearest integer? 7 Let m = -20197 + 20197.0129968. Let t = -0.013 + m. Round t to 6 dps. -0.000003 Let n = 335542973 - 335543077.0000236. Let l = -415 + 519. Let m = l + n. What is m rounded to 5 dps? -0.00002 Let d = 863 - 783.98. Let u = d + -79. Let t = u + -0.02011. Round t to 4 decimal places. -0.0001 Suppose 54*t + 454476879 = -605*t + 9351504079. What is t rounded to the nearest one hundred thousand? 13500000 Let k = -25490 - -25474.632. What is k rounded to the nearest integer? -15 Let i = -19239.7115 + 19243. Round i to 2 decimal places. 3.29 Let i(a) = -814*a**3 - 7*a - 10. Let l be i(-3). Let q = 14589 - l. What is q rounded to the nearest one thousand? -7000 Let p = 3463616 + -3464044.9678. Let k = -429 - p. What is k rounded to 2 dps? -0.03 Let h = -0.096 + 7.996. Let b = -92.1 - h. Let t = b - -99.961. What is t rounded to 1 dp? 0 Let n = 28.869122 + -28.83. What is n rounded to three dps? 0.039 Let x = 226.32 + -227.4299. Round x to one dp. -1.1 Let k = 26300.95701 + -26301. Round k to three dps. -0.043 Suppose -4*h = -h - 6. Let p(b) = -b - 3 + b**2 + 13*b**3 + 3*b + h*b**2 + b**2. Let o be p(3). What is o rounded to the nearest one hundred? 400 Suppose 361*f = 367*f - 30. Let o(b) = -1407*b**2 + 7*b + 60. Let d be o(f). What is d rounded to the nearest one thousand? -35000 Let a = 10.4802 - -31.6668. Let r = 41.6 - a. What is r rounded to 2 decimal places? -0.55 Let m = 11852693 - 8180693. Round m to the nearest 1000000. 4000000 Let b = 0.36515 - -1518.33485. What is b rounded to the nearest ten? 1520 Let d = 15306.1 - 17001. What is d rounded to the nearest one thousand? -2000 Let d = -1271.0783 + 1271. Let s = -0.005 - d. Round s to three dps. 0.073 Let p = -915 + 915.005199. What is p rounded to four dps? 0.0052 Let v = 46.309 + 4.931. Round v to the nearest integer. 51 Let m = -938.6767 - -0.0767. Round m to the nearest ten. -940 Let j = -136409994.4 - -14887103.4. Let k = 121522908.99999504 + j. Let n = k + -18. What is n rounded to seven dps? -0.000005 Suppose 8*x + 0*x - 109496 = 0. Let m = 28457 - x. What is m rounded to the nearest 1000? 15000 Suppose 189531000 = -33*m + 24*m. What is m rounded to the nearest one hundred thousand? -21100000 Let f = 76319 + -76319.203035. Round f to two decimal places. -0.2 Let r = -47424447.62400103 + 47424448. Let u = r - 0.376. Round u to seven dps. -0.000001 Let p(z) = -960*z**2 + 20*z + 72. Let b be p(19). Let j = 213008 + b. What is j rounded to the nearest 10000? -130000 Let d = 3729250 - -4418250. Round d to the nearest ten thousand. 8150000 Suppose 7*v = 3*v + 15400. Let d be (432/(-630)*(-35)/14)/(4/14). Suppose -8*l + v = d*l. Round l to the nearest 10. 280 Let l = -8 + 7.3. Let b = 51.3 - l. Let g = b + -52.000004. What is g rounded to five dps? 0 Let h = 19490.2 + -19490.1893333. What is h rounded to three decimal places? 0.011 Let s(u) = 2*u**2 - 36*u + 4. Let k be s(18). Suppose -k*p + 2*h = -3466, p - 2*p + 3*h + 859 = 0. Round p to the nearest one hundred. 900 Let m = -17087.000014342 + 17087. Round m to 7 dps. -0.0000143 Suppose -a + 8 = n, 2*n + 3*a + a = 20. Suppose 143130 = n*i + 2718. Let d be (i + -1 + -1)*-10. What is d rounded to the nearest 10000? -230000 Let z be (-832433966)/546 - (-13)/3. Round z to the nearest ten thousand. -1520000 Let q = 96 - -110. Let x = q - 206.000406. Round x to 4 decimal places. -0.0004 Let y = 42.0709 + -42. Let f = 0.0159 - y. What is f rounded to 3 decimal places? -0.055 Let n = 80298304 + -80298321.99999264. Let g = -0.31 + 18.31. Let x = n + g. What is x rounded to 6 decimal places? 0.000007 Let q = 9185.34 - 9185. Let k = -49.5056 - -49.8455728. Let p = q - k. Round p to 6 decimal places. 0.000027 Let a = 459.724 + -0.724. Let f = a + -458.9346. Let c = -0.065 + f. Round c to 4 dps. 0.0004 Let u = -17984 - -17983.9999920084. What is u rounded to 7 decimal places? -0.000008 Let d = -11.4805 - -7.1692. What is d rounded to two dps? -4.31 Suppose 4*t = t + 921. Suppose -5*v + 120693 = -t. What is v rounded to the nearest ten thousand? 20000 Let g(z) = 2 - 22486*z + 891*z + 3. Suppose -15*m = 7 + 8. Let q be g(m). What is q rounded to the nearest ten thousand? 20000 Let q = -862.65 - -709. Let j = -0.65 - q. Let u = 152.999999304 - j. Round u to 7 decimal places. -0.0000007 Suppose -d - 2 + 11 = 0. Suppose 21 = 2*v - d. Suppose 19*z = v*z + 82000. What is z rounded to the nearest one thousand? 21000 Let t = 2.13 - 68.13. Let d = t + 65.999942. What is d rounded to 6 decimal places? -0.000058 Let f = -5760.6814 + 5760. Let m = 0.016 - -0.644. Let g = f + m. Round g to three decimal places. -0.021 Let b = 1536663854.6001223 - 1536663732. Let j = 122.6 - b. Round j to five decimal places. -0.00012 Let a = 739.773781 - 739.69. What is a rounded to 2 dps? 0.08 Let r be 312/(-117) + (-294232)/3. Round r to the nearest ten thousand. -100000 Let h = -2.63529893285 + 2.6353. What is h rounded to 7 decimal places? 0.0000011 Let k
{ "pile_set_name": "DM Mathematics" }
cked without replacement from jjjjjjzzj? 1/12 Three letters picked without replacement from pxxxxxxppppp. Give prob of picking 3 x. 1/11 Two letters picked without replacement from {g: 1, k: 4, u: 1, q: 1, j: 2}. Give prob of picking 1 j and 1 q. 1/18 Two letters picked without replacement from kjekdtmj. What is prob of picking 1 d and 1 t? 1/28 Two letters picked without replacement from sslsuisj. What is prob of picking 1 s and 1 l? 1/7 Calculate prob of picking 2 p when two letters picked without replacement from {d: 3, s: 1, p: 7, l: 2, f: 7}. 21/190 Calculate prob of picking 1 x and 1 k when two letters picked without replacement from {r: 4, o: 6, x: 5, u: 1, k: 4}. 2/19 Calculate prob of picking 2 d and 2 h when four letters picked without replacement from aahdhhahhadah. 3/143 What is prob of picking 2 h and 1 n when three letters picked without replacement from gyhhnph? 3/35 Two letters picked without replacement from hhhhhhhhhh. What is prob of picking 2 h? 1 What is prob of picking 1 x and 3 h when four letters picked without replacement from uuhuwfhfxuhu? 1/495 What is prob of picking 4 s when four letters picked without replacement from {k: 2, s: 2}? 0 Four letters picked without replacement from {x: 2, i: 6, m: 1, n: 1, f: 1, r: 4}. What is prob of picking 1 x, 1 i, 1 r, and 1 m? 16/455 Three letters picked without replacement from mmmmmmmaammrrrmmma. What is prob of picking 1 m and 2 r? 3/68 What is prob of picking 1 i and 2 v when three letters picked without replacement from {i: 1, s: 4, x: 9, v: 2}? 1/560 Two letters picked without replacement from tddddt. Give prob of picking 1 t and 1 d. 8/15 What is prob of picking 3 i when three letters picked without replacement from ggiagigggaiggggaga? 1/816 Calculate prob of picking 1 l and 1 b when two letters picked without replacement from lbbblulub. 1/3 Four letters picked without replacement from {j: 1, p: 3, g: 1}. Give prob of picking 3 p and 1 g. 1/5 Calculate prob of picking 1 k, 1 l, 1 c, and 1 s when four letters picked without replacement from {y: 5, s: 1, i: 4, c: 1, k: 1, l: 1}. 1/715 Two letters picked without replacement from zjzjcy. Give prob of picking 1 c and 1 z. 2/15 What is prob of picking 4 d when four letters picked without replacement from ddddd? 1 Four letters picked without replacement from afaacfflffxxxf. Give prob of picking 1 f and 3 x. 6/1001 Two letters picked without replacement from {z: 1, l: 2, o: 1}. What is prob of picking 2 l? 1/6 Four letters picked without replacement from {w: 3, x: 1, g: 8, i: 2, z: 5}. Give prob of picking 2 z, 1 w, and 1 x. 5/646 Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {q: 1, u: 1, n: 2, g: 1, w: 4}. 1/9 Three letters picked without replacement from pcccccccpcccpccccpcc. Give prob of picking 3 p. 1/285 What is prob of picking 1 u and 1 q when two letters picked without replacement from ttutqqj? 2/21 What is prob of picking 1 q and 3 z when four letters picked without replacement from zqzqqmzzqzz? 8/33 Two letters picked without replacement from {g: 1, o: 1, b: 1, k: 1, x: 1}. Give prob of picking 1 k and 1 x. 1/10 Calculate prob of picking 3 g when three letters picked without replacement from {n: 4, w: 2, b: 1, g: 4, o: 8}. 4/969 What is prob of picking 2 y when two letters picked without replacement from oqsqqyygoqoz? 1/66 What is prob of picking 1 e, 1 m, and 2 l when four letters picked without replacement from {l: 6, e: 4, m: 1}? 2/11 Calculate prob of picking 2 a and 1 h when three letters picked without replacement from {v: 6, h: 2, z: 2, p: 3, a: 2}. 2/455 Four letters picked without replacement from {h: 1, g: 4, u: 3}. Give prob of picking 4 g. 1/70 Calculate prob of picking 3 c when three letters picked without replacement from ssssscwsxhhxccc. 4/455 Two letters picked without replacement from tcfej. What is prob of picking 1 e and 1 c? 1/10 What is prob of picking 1 c and 3 r when four letters picked without replacement from rrcrrrrcrrrrcrrrrrcr? 448/969 Calculate prob of picking 1 u and 2 x when three letters picked without replacement from {p: 1, u: 4, n: 1, x: 2, t: 1}. 1/21 Three letters picked without replacement from pnzwtpnnzp. What is prob of picking 3 n? 1/120 Calculate prob of picking 2 v when two letters picked without replacement from vuvvumvvuvu. 3/11 Three letters picked without replacement from {j: 2, f: 18}. What is prob of picking 1 f and 2 j? 3/190 What is prob of picking 1 t, 1 p, and 1 y when three letters picked without replacement from yycpvppvvvvtvcvpttvu? 2/95 Calculate prob of picking 2 t and 1 s when three letters picked without replacement from ssyssstttststssst. 15/68 Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {a: 1, z: 1, r: 1}. 1/3 Three letters picked without replacement from {g: 11, s: 3}. Give prob of picking 3 g. 165/364 What is prob of picking 2 t when two letters picked without replacement from {r: 2, t: 2, o: 1}? 1/10 Calculate prob of picking 1 d and 1 s when two letters picked without replacement from {z: 4, g: 2, p: 2, d: 5, s: 1, q: 1}. 1/21 Calculate prob of picking 1 m, 1 r, and 1 y when three letters picked without replacement from soosssyomomommr. 4/455 What is prob of picking 2 w and 2 m when four letters picked without replacement from eppppplwwmwvm? 3/715 Two letters picked without replacement from hhhhhhh. What is prob of picking 2 h? 1 Three letters picked without replacement from suyyyzoszhyyosy. What is prob of picking 1 h and 2 o? 1/455 Calculate prob of picking 2 n when two letters picked without replacement from {l: 2, d: 4, n: 4}. 2/15 Four letters picked without replacement from gjjggggjgjy. What is prob of picking 4 g? 1/22 What is prob of picking 1 p and 1 x when two letters picked without replacement from {g: 1, h: 1, x: 1, b: 2, p: 1, z: 1}? 1/21 Two letters picked without replacement from {s: 7, y: 9}. Give prob of picking 1 s and 1 y. 21/40 What is prob of picking 1 k and 1 n when two letters picked without replacement from oeocnnennknn? 1/11 Four letters picked without replacement from {u: 2, s: 1, y: 2, m: 1, r: 1, z: 1}. What is prob of picking 1 m, 2 y, and 1 s? 1/70 What is prob of picking 1 u and 1 c when two letters picked without replacement from kkcckttcccucttjj? 1/20 Two letters picked without replacement from {x: 2, l: 5, m: 3, y: 2}. What is prob of picking 1 l and 1 m? 5/22 What is prob of picking 2 t when two letters picked without replacement from tttmmtttmttt? 6/11 Two letters picked without replacement from oooohooqoooooh. What is prob of picking 1 o and 1 q? 11/91 What is prob of picking 1 r and 1 a when two letters picked without replacement from {s: 2, n: 1, r: 3, p: 2, w: 2, a: 4}? 12/91 Two letters picked without replacement from {d: 3, y: 3, l: 1, m: 2, s: 1, x: 7}. What is prob of picking 1 y and 1 x? 21/136 Two letters picked without replacement from plzllplppzppppppppl. Give prob of picking 1 z and 1 p. 8/57 Two letters picked without replacement from fpfffppffp. Give prob of picking 2 f. 1/3 Two letters picked without replacement from {v: 5, t: 7, f: 4}. What is prob of picking 2 t? 7/40 Two letters picked without replacement from {p: 2, n: 2, u: 2, k: 3, l: 4, b: 2}. What is prob of picking 1 l and 1 k? 4/35 What is prob of picking 1 f, 2 e, and 1 i when four letters picked without replacement from {i: 2, w: 4, f: 1, n: 7, e: 2}? 1/910 What is prob of picking 3 b when three letters picked without replacement from {b: 9}? 1 Two letters picked without replacement from {s: 2, u: 1, l: 2, x: 1, m: 4}. What is prob of picking 1 l and 1 x? 2/45 Three letters picked without replacement from {m: 2, i: 1, x: 5, t: 5, n: 5}. What is prob of picking 2 t and 1 i? 5/408 Calculate prob of picking 2 u when two letters picked without replacement from {s: 1, u: 3, t: 3, n: 5}. 1/22 What is prob of picking 1 t and 1 v when two letters picked without replacement from ttvsstvs? 3/14 Two letters picked without replacement from {c: 2, p: 4, q: 1, s: 2, j: 3}. Give prob of picking 1 j and 1 s. 1/11 Four letters picked without replacement from ojqqcjjwjocqwjwoj. Give prob of picking 1 c, 2 o, and 1 q. 9/1190 Calculate prob of picking 2 x and 1 p when three l
{ "pile_set_name": "DM Mathematics" }
+ 663 = 51*f for f. 13 Solve 38*z - 10*f + 40 = 15*z + 26*z, -5*z + 8*f = 32 for z. 0 Solve -5*t + 9*p + 4 = 7*p - 62, 131 - 17 = -2*p - p for t. -2 Solve 0 = 564*o - 5*g - 3374, -3*g - 1 = -o + 3*o - 2*g - 1 - 14 for o. 6 Solve 0 = -p - 2*c - 9, 23*p - 15 = 27*p - 15*c + 16*c for p. -3 Solve -6180*w = 3*j - 6181*w - 19, 4*j - 5 = -w + 4 for j. 4 Solve 0 = -2*n - 40381*m + 40382*m - 118, -191 = 3*n + 2*m for n. -61 Solve 4*i + t + 100 - 32 = 0, -261 - 191 = 2*i + 2543*t - 2537*t for i. 2 Solve 4*j - 8 = -12, 158*j - 163*j = -3*n + 8 for n. 1 Solve h - 71 = 4*h - w, -12 = 685*h - 684*h - 5*w - 7 for h. -25 Solve 6*n + 750*b = 1507*b - 761*b + 166, 3*n = -4*b + 79 for n. 29 Solve 5*x - 11*m = -15*m + 131, -2*x + 24*m + 23*m = 44*m + 104 for x. -1 Solve 120*v - 122*v + 2*m - 32 = 0, 10*v - m + 77 = -v + 21 for v. -4 Solve 2*c - 9*p + 12*p + 12 = 0, -c - 3*c - 3*p - 33 = -9*c for c. 3 Solve 4*y = 5*h - 45, -19*y - 20*y - 41*h + 45*h + 27 = -40*y for y. -15 Solve -3 = 5*d + u - 7, -142*d + 15*d - 70*u + 68*u + 125 = 0 for d. 1 Solve 7*d + 4*r - 35 = 0, -16*d - 88 = -10*d - 5*r for d. -3 Solve 2*j + 19*h - 14*h + 43 = 0, 147*j + 253*j = -h - 1607 for j. -4 Solve 13*f - 21*f + 12*w = -10*f - 38, 4*w = -14*f + 54 for f. 5 Solve 0*o + 83 = -2*o - 56 + 115, 0*o + 20 = -2*q - 2*q - o for q. -2 Solve 4*l = -k + 16, -8870*k + 12 = -8873*k + 3*l for k. 0 Solve 3*s = 5*g + 11, 5*s - 3*g = 1396 - 1399 for s. -3 Solve -362*k + 179*k = -c - 179*k - 47, 5*k = -2*c - 55 for c. -35 Solve y - 29 = -5*r - 69, -29*r + 56*y - 488 = 32*r + 55*y for r. -8 Solve -6*h + 8*y - 28 = 0, -2*h - 68*y - 4*y - 3 - 1 = -76*y for h. -10 Solve -6*f - o - 2*o + 441 = 402, -3*f + 5*o - 78 = 0 for f. -1 Solve 14*x = -h + 17*x - 69, -x = -2*h + x - 50 for h. -3 Solve -32*o = 55*o - 92*o - 7*w - 6*w - 98, -4*o + 3*w + 2 = 0 for o. -4 Solve 5*o + 4*b = -33, -2*o + 5*b + 29174 = 29108 for o. 3 Solve -k = -c + 5*c - 23, -k + 29 = 61*c - 20*c - 179 for k. 3 Solve -4*p = -d + 3*d - 0*d - 4*d - 8, 0 = -4*p + 12 for d. 2 Solve -5*q = -10*f + 45, 3*f + 0*q + 2448 - 2419 = -q for f. -4 Solve 7*u + 4*q = 106, 292*q - 293*q = 5*u - 33 for u. 2 Solve 0 = 4*o - d - 52, 0 = -5*o + 5*d + 10505 - 10440 for o. 13 Solve 118 = 9*w + 5*d, -9*w - 3*d - 41 = 4*w - 3*w - 167 for w. 12 Solve 38 + 34 = 5*s + 12*q - 33*q, -9*q - 38*q - 76 = 3*s for s. 6 Solve 943*q - 938*q - 4*i = -26, -q + 18 = 5*i for q. -2 Solve -4*b + 125*a - 247*a = -125*a - 56, -2*b + 18*a = 17*a - 28 for b. 14 Solve -4*h - 8 = -4*s, -2466*s + 2462*s + 20 = 2*h for h. 2 Solve 8*c = 19*c - 3*h - 12, 2*h - 4*h = c + 3 + 5 for c. 0 Solve 2*r = -4*m - 84, -3541*r + 7075*r - 2*m = 3538*r - 3*m + 195 for r. -48 Solve -v - 4*b - 6 = 0, -16*b = -1188*v + 1187*v - 46 for v. -14 Solve -5*a - 34 + 4 = -20*p - 5, 2*a - 5*p + 4 = 0 for a. 3 Solve -3*d - 35 - 25 = -6*c + 2*d, 3*c + 59*d = 61*d + 21 for c. -5 Solve 0 = -4*s + 5*w + 64, 0 = s + 206*w - 208*w - 19 for s. 11 Solve 11*n - 321 = -2*o, 11695 - 11584 = -5*o + 2*n + 2*n for o. 1 Solve 5*g = r + 58 - 5, 8*r + 210 = -5*g - 169 for g. 1 Solve 6*h - 1929*d = 2*h - 1933*d - 92, 34 = -6*h - 2*d for h. 3 Solve 99 = -2*n - 9*l, -5*n = l - 82398 + 82409 for n. 0 Solve -5*n - 9 = 3*j, -22*n + 14*n + 5 = -9*n + j for n. -3 Solve -2*k - 17 - 47 = -7652*z + 3828*z + 3819*z, 2*z - 234*k = -674 for z. 14 Solve 60*a + 27*a + 38 = 2*o - 28*a + 111*a, 0 = -2*o - 5*a - 25 for o. 5 Solve 12*y = 1895020*j - 1895024*j + 88, -y + 5*j = 30 for y. 5 Solve -2*u + 4*u + 25 = -3*j, 151*u - 149*u - 150*j - 1658 = 0 for u. 4 Solve 2*c - 862023 + 862177 = 0, 18*o - 3*c = 177 for o. -3 Solve -67 + 26 = -3*y + 4*u - 67, -u = -0*y - y - 10 for y. -14 Solve -1511*r + 1515*r - 184 = -3*s, 0 = -8*s + 3*r + 477 for s. 60 Solve 2 - 9 - 5 = 10*r - 3*p + 49, 5*r + 2*p = -6 for r. -4 Solve -b = 2 + 16, 157*l - 154*l + 17*b = -59*b - 1380 for l. -4 Solve 3*m - 61*v - 220 = 0, 2*m + 3*v + 3203436 = 3203408 for m. -8 Solve 5*s - 59 = -4*c, -8*s + 2*s + 96 = 11*c - 105 for s. -5 Solve 63857 = -3*v - 2*n + 63838, -3*v + 1 = -2*n for v. -3 Solve 2*v - 1524 = -1588, -19*v = -3*r + 25*v + 1420 for r. 4 Solve 5*r - 22*g + 11*g = -2*g - 11*g + 146, -322 = -11*r - 4*g for r. 30 Solve -4*y = b - 668 + 659, 0 = 4*y + 115*b - 110*b - 13 for y. 2 Solve 4*q - 140 = -5*y, -391367 = -5*q - 3*y - 391205 for q. 30 Solve 3*l - 4*v - 55 = 0, -3*l - 5*v - 775 + 821 = 0 for l. 17 Solve -4*y = -2*f + 12, -34870*y - 5*f = -34871*y - 21 for y. -1 Solve -3*c - 318 = 2*z - 331, 0 = 4*z - c - 61 for z. 14 Solve -4*k = -330*s + 297*s + 474, 2*k + 20 = s for k. -3 Solve -2*u - 52255*s + 52256*s = 6, -11*u = -6*s + 31 for u. -5 Solve -1534 = 142*u - 164*u + 5*m - 409, 0 = 5*u + 2*m - 240 for u. 50 Solve 0*h + 4*h - 12 = v + 3 + 26, -v - 31*h = -344 for v. 3 Solve 6*s - 18 = 3*s - 15, 0 = -2*f - 0*f - 20*s - 68 for f. -44 Solve 0 = 829*z - 827*z - 3*f + 117, 84*z + 4*f = -4524 for z. -54 Solve v = -14*b + 13*b, -7*v - 4*b + 9 = -6*b - 0*b for v. 1 Solve -2*g + 7*g + 49 = 25*o - 27*o, -19*o = -8*o + 2*g + 244 for o. -22 Solve 29*a = -60*n + 26*n + 30*n - 52, 52 = a - 4*n for a. 0 Solve -2*y - 47*v + 143 = 25, -29*y + 34*y = 5*v - v - 191 for y. -35 Solve 0 = -11*f - k + 6871 - 6790, 23 = 5*f - 3*k for f. 7 Solve -n + 124 = -0*n + 46*f + 379, 0*f + 20 = -0*f - 5*f for n. -71 Solve -10*d = -3*x - 3 - 4, -271*d + 5*x + 0 = -267*d + 1 for d. 1 Solve 717 = g + 5*p + 754, -p = -5*g + 23 for g. 3 Solve 4*g + 94 = 3*t, 4*t + 58*g + 156*g + 5206 = 55*g - 78*g for t. 2 Solve -5*c - 49444 + 49459 = 0, 2*c = -5*f - 5 + 51 for f. 8 Solve -8*l + 29 = -3*c, 45*c - 54*c - 8 = -8*c + 3*l - 6*l for c. -23 Solve 3*y = -2*r - 51, 17*r - 20*r - 34 = 2*y for y. -17 Solve 0 = 2*d + 8, 2*d - 48 - 34 + 133 = 2*f + 29 for f. 7 Solve 2*w = 2*v - 46 - 52, -4*v = 50782*w - 50785*w - 145 for v. -2 Solve -p + 45 = -16*b, 2*b - 733*p + 700*p - 1145 = 0 for b. -5 Solve 0 = -7*o + 2*o - 4*f - 37, 19*f + 13 = 4*o - 24 for o. -5 Solve -t - 2*j - 22 = -4*t, 350*j + 12 = -2*t + 349*j - 6 for t. -2 Solve 0 = 7*z - 3*z + 3*m - 81, -17*z = m - 7*m - 288 for z. 18 Solve 0 = 11*f - 5*z + 40, -48110001*z = 2*f - 48110000*z - 8 for f. 0 Solve 5*i + f = 27, 40*f - 41 = -3*i + 27*f for i. 5 Solve 0 = 5*m, -820*y = -824*y - 5*m - 60 for y. -15 Solve 3*a - 3*w - 18 = 0, -31*a - 190*w = -195*w + 74 for a. -4 Solve 179 = -r + 88*m, 14 = -4*r - 6*m + m + 12 for r. -3 Solve -3*u + 6*s = -104*s + 223, 2*s = u + 5 for u. -1 Solve -2*x - 1 = p, -356*p = 4*x - 357*p - 13 for x. 2 Solve -9*x - 17*x - 2540 = -4*p + 26*x, 7*p - 3*x - 133 = 0 for p. -2 Solve -104*t - 3*o = 172*t - 0*o - 30, 5*o = 3*t + 2*o + 30 for t. 0 Solve -5*p + 19 = -o, 3*p = -o + 143626 - 143605 for o. 6 Solve -3*t + 6*a = -6*t + 7*t - 54, -5*t + 4*a + 50 = 0 for t. 6 Solve 3*q + z = 0, -4*q + 8244 = -5*z + 8282 for q. -2 Solve 220*p + 4 = -4*m + 224*p, -m + 2 - 65 = -32*p for m. 1 Solve 0 = -4*j + s - 242625 + 242632, 4*j - 61 = 19*s for j. 1 Solve 0 = -7*y + 6*h + 128, 1095 = -y + 2*h + 1143 for y. -4 Solve 0 = -4*s + 12, -9*n - 56724*s = -56725*s + 3 for n. 0 Solve 15*g + 95 = 13*g + 25*d, 4*g - 51 + 11 = 4*d for g. 15 Solve -5*z - 6*x - 20049 + 19997 = 0, 8*z = -x - 66 for z. -8 Solve -718*p = -722*p - 46 + 250, 2*p - 105 = -3*u for u. 1 Solve 5*d - 23 = -v, -5*d + 19 = 11794*v - 11791*v for v. -2 Solve -1047*h + 13*s = -1055*h - 14, s = 2*h + 12 for h. -5 Solve 1824*b + 3 = -3*o + 1825*b, -3 = 5*o - b for o. 0 Solve 63 = 9*y - 3*z, -3542*y + z + 34 = -3543*y + 41 for y. 7 Solve -3*k = -19*l + 2 - 32, -14 = -k + 67*l - 69*l - 4 for k. 10 Solve 0 = -4*z, 237*z - 234*z = -3*w - 75 for w. -25 Solve -10*s = 10*s - 78*s + 57*s + 4*n - 28, -n + 13 = -s for s. -8 Solve 5*n - 191 = -1701*g + 3393*g - 1698*g, -2*n = g - 26 for g. 36 Solve 209*t = 549*t + 2*p - 1036, 163*t - 8 - 17 = 160*t - 2*p for t. 3 Solve -5*y = 10, -4*i + 996 = y + 990 for i. 2 Solve -6*i = 83*k - i + 621, 3*k - 6*i = 6*k + 69 for k. -7 Solve -5*q = m - 4274 + 4286, m = -4*q - 9 for q. -3 Solve -4*i + 2*b = 42, 27*i + 33 = 28*i - 15*b for i. -12 Solve 0 = -4*s - x - 2*x + 29, 508*s - 49 = -503*s + 1016*s - 4*x for s. -1 Solve 0 = 5*h + 5, 3*l = -55094*h + 55091*h for l. 1 Solve 28 + 1 = -2*v - 0*v - 13, -3*v + 4*v - 173 = -194*m for m. 1 Solve -5*w - 4*c - 112 = 0, 5*w - 10782*c = -107
{ "pile_set_name": "DM Mathematics" }
Collect the terms in 0*w + w + 4189 - 4189 + w + w. 3*w Collect the terms in -3 - 7 + 5*i + i - 4*i. 2*i - 10 Collect the terms in -4100*j**3 - 697*j**3 + j - 926*j**3 - 3*j. -5723*j**3 - 2*j Collect the terms in -3*a + 257 + 238 + 31 + 403. -3*a + 929 Collect the terms in 23*p**3 - 102*p**3 + 20*p**3 + 16*p**3 + 21*p**3 + 21*p**3. -p**3 Collect the terms in -406*p - 830*p + 1229*p. -7*p Collect the terms in -4*m**2 - 2140 + 24*m + 2140. -4*m**2 + 24*m Collect the terms in -11*v**2 - 10*v**2 - 6*v**3 - 10*v**3 + 29*v**2 - 5*v**2. -16*v**3 + 3*v**2 Collect the terms in 1336*w + 85 - 32 - 1330*w. 6*w + 53 Collect the terms in -76*d**2 - 153*d**2 + 291*d**2 - 129*d**2. -67*d**2 Collect the terms in 106892 - 52737 - 54155 + 2*h**2. 2*h**2 Collect the terms in -15 - 15 + 27 + 68*k. 68*k - 3 Collect the terms in -y - 680552*y**3 + 680563*y**3 + y. 11*y**3 Collect the terms in -4*l**3 + 9 + 2 + 25 - 1 - 11. -4*l**3 + 24 Collect the terms in 25*m + 18*m - 36*m - 4*m. 3*m Collect the terms in -786*i**3 + 1700*i**3 - 915*i**3. -i**3 Collect the terms in 15*a + 11*a - 20*a + 0*a - 8*a. -2*a Collect the terms in -1458*k + 1458*k + 88682*k**3. 88682*k**3 Collect the terms in 6*t + 0*t - 53433*t**3 + 53436*t**3. 3*t**3 + 6*t Collect the terms in -42*m**2 - 43*m**2 - 22*m**2 - 24*m**2 + 158*m**2. 27*m**2 Collect the terms in q**2 - 26424138*q + 26424138*q. q**2 Collect the terms in 61452*s - 1 - 30805*s - 30651*s. -4*s - 1 Collect the terms in -4818*a**3 - 2*a**2 + 2*a**2 + 4733*a**3. -85*a**3 Collect the terms in 41 - 43 + y + 41 + y. 2*y + 39 Collect the terms in 0 - 2 + 26*n**2 - 597*n**2. -571*n**2 - 2 Collect the terms in -2517*h**2 + 2516*h**2 - 65855*h + 65855*h. -h**2 Collect the terms in 1752 - 1752 + 2011*d. 2011*d Collect the terms in -170*d**3 - 11*d**3 + 192*d**3. 11*d**3 Collect the terms in -12*z - 57 + 38 - 5*z + 18*z - 109. z - 128 Collect the terms in 126*j**2 + 126*j**2 + 120*j**2 + 120*j**2 - 626*j**2 + 115*j**2. -19*j**2 Collect the terms in -108*b**3 + 4*b + 92 + 211*b**3 - 4*b - 105*b**3. -2*b**3 + 92 Collect the terms in -7*h**2 + 13*h**2 + 43*h - 8*h**2 - 41*h - 4*h**2. -6*h**2 + 2*h Collect the terms in 0 - 5 - 9 + 0 - 14*j. -14*j - 14 Collect the terms in 7923*h + 1399 - 1399. 7923*h Collect the terms in 2182*b - 2182*b + 38*b**2 + 63*b**2. 101*b**2 Collect the terms in 229*f + 47*f**2 - 229*f. 47*f**2 Collect the terms in -6 - 18*u**3 - 20 + 39 - 13. -18*u**3 Collect the terms in 2538*m - 1264*m - 1257*m. 17*m Collect the terms in -1912*t - 1907*t + 3749*t. -70*t Collect the terms in 646*a + 997*a - 1875*a. -232*a Collect the terms in -54*j + 667*j + 375*j - 28*j + 70*j. 1030*j Collect the terms in 356*h - 297*h - 44*h. 15*h Collect the terms in 397*n - 135*n + 0 + n**2 - 4. n**2 + 262*n - 4 Collect the terms in 10859215 - 10859215 - 113*j. -113*j Collect the terms in -1 - 201*u - 55*u - 89*u - 414*u. -759*u - 1 Collect the terms in -210 + 4*v + 444 - 288. 4*v - 54 Collect the terms in -365675*o**2 + 365675*o**2 - 5 + 5 - 7*o**3 + o**3. -6*o**3 Collect the terms in 6*r + 0*r - 6*r + 131 + r. r + 131 Collect the terms in -454752*n**3 + 227386*n**3 + 227368*n**3. 2*n**3 Collect the terms in 10509*u - 5262*u - 5257*u. -10*u Collect the terms in -28000*p + 56400*p + 34248*p + 3 + 0. 62648*p + 3 Collect the terms in 7524347*f + 45 - 2*f**3 - 7524347*f. -2*f**3 + 45 Collect the terms in 25*z**2 - 10419496 + 44*z**2 - z**3 + 10419496. -z**3 + 69*z**2 Collect the terms in -15 + 19*r**3 - 44*r**3 + 11*r**3 + 15. -14*r**3 Collect the terms in -361*z + 2759*z + 9694*z. 12092*z Collect the terms in 3*c**2 - 4*c**2 + 7*c**2 - c**2 + 5*c**2. 10*c**2 Collect the terms in -246*s**3 - 250*s**3 - 2*s**2 + 210*s**3 + 284*s**3 + 2*s**2. -2*s**3 Collect the terms in -3*l**3 + 10679*l**2 + 2397*l**2 + 5*l**3 + 58*l**2. 2*l**3 + 13134*l**2 Collect the terms in -15*b**3 - 8*b**2 - 16*b**2 + 0*b**2 + 24*b**2. -15*b**3 Collect the terms in -3903*d + 1634*d + 2277*d. 8*d Collect the terms in -15*j**2 + 303*j - 301*j + 14*j**2. -j**2 + 2*j Collect the terms in 4625 - 1538 + 7*x**2 - 1547 - 1540. 7*x**2 Collect the terms in 1 - 8*r - 26 + 13 + 0 + 9. -8*r - 3 Collect the terms in 135*f + 124*f + 230*f - 505*f. -16*f Collect the terms in -464*y**2 + 775*y**2 - 301*y**2. 10*y**2 Collect the terms in 123 - 403 + 162 + 118 - l. -l Collect the terms in -4696*k - 13796*k - 2 + 5528*k. -12964*k - 2 Collect the terms in -6210622 + 6210622 - 62*s**2. -62*s**2 Collect the terms in -45*g**2 + 2*g - 45*g**2 - 36*g**2 - 2*g + 115*g**2. -11*g**2 Collect the terms in -146*o**2 - 42*o + 42*o + 148*o**2. 2*o**2 Collect the terms in 4478614*q**3 - 95 + 95 - 4478601*q**3. 13*q**3 Collect the terms in 119*z**2 - 84 + 118*z**2 - 4*z**3 - 362*z**2 + 125*z**2. -4*z**3 - 84 Collect the terms in 1644*m + 14 - 14. 1644*m Collect the terms in -35*s + 59*s + 93*s + 15*s - 1. 132*s - 1 Collect the terms in -308 + 308 + 110*j - 7*j. 103*j Collect the terms in 3*l + 266*l**2 - 3*l - 818*l**2 + 277*l**2 + 277*l**2. 2*l**2 Collect the terms in -14 + 1033*g + 9 + 5. 1033*g Collect the terms in -2833*c + 867*c - 1091*c. -3057*c Collect the terms in -75310 - 5*h + 75310 + 3*h. -2*h Collect the terms in 28803*y + 8 - 4 - 6 + 2 - 28806*y. -3*y Collect the terms in -338*l + 1493*l + 293*l + 676*l. 2124*l Collect the terms in 116*b + 117*b - 349*b + 109*b + 70*b**3. 70*b**3 - 7*b Collect the terms in 0*r**2 + 153 + 4*r - 7*r**2 + 9*r**2. 2*r**2 + 4*r + 153 Collect the terms in 2*a**3 + 8*a**3 + 5*a**3 + 6*a**3 - 21*a**3 - a**3. -a**3 Collect the terms in -1013 + 2*c + 1079 - 66. 2*c Collect the terms in -6223*w**2 + 6223*w**2 - 13*w**3 - 18*w**3. -31*w**3 Collect the terms in 438*l**2 - 3 - 1313*l**2 + 3 + 443*l**2 + 434*l**2. 2*l**2 Collect the terms in -1186029 + 593017 + 593012 - 4*l. -4*l Collect the terms in 17*t - 6*t - 16*t + 6*t. t Collect the terms in -334*y**2 + 3*y + 33*y**2 - 8*y**2 - 176*y**2. -485*y**2 + 3*y Collect the terms in -8*l**3 + 240548*l - 240548*l. -8*l**3 Collect the terms in 75*p**2 + 12 - 12 - 38*p**2 - 16*p**2 - 27*p**2. -6*p**2 Collect the terms in 248*p - 33*p - 75*p. 140*p Collect the terms in 169*u**2 + 4*u - 12*u**3 - 340*u**2 + 171*u**2. -12*u**3 + 4*u Collect the terms in 23*h + h**3 + 12*h - 43*h + 8*h. h**3 Collect the terms in -46*m**2 - 6*m**2 - 94*m**2. -146*m**2 Collect the terms in -2597 - o + 5368 - 2813. -o - 42 Collect the terms in -27*v - 12*v**3 + 46*v - 19*v. -12*v**3 Collect the terms in 18 - 39 + 19 - 27*w**3. -27*w**3 - 2 Collect the terms in -156778*x - 32*x**2 + 156778*x. -32*x**2 Collect the terms in -145*y + 74*y + 79*y. 8*y Collect the terms in 4007*b**3 - 11816*b**3 + 7813*b**3. 4*b**3 Collect the terms in -7 - 364*v + 401*v + 7. 37*v Collect the terms in 35374*y**3 - 17657*y**3 + 5*y - 17728*y**3 - 5*y. -11*y**3 Collect the terms in -6*l**2 - 42*l**2 + 158*l**2. 110*l**2 Collect the terms in -23*x**2 + 4*x**2 + 54*x**2 + 36*x**2. 71*x**2 Collect the terms in 12*v + 292933 - 292933. 12*v Collect the terms in -83*c**3 + 269*c**3 - 87*c**3 - 85*c**3. 14*c**3 Collect the terms in 2*u**2 - 2*u**2 + 1975*u**3 + 4853*u**3. 6828*u**3 Collect the terms in -503*b**3 + 46*b**3 - 196*b**3. -653*b**3 Collect the terms in -4*q - 3*q + 6 + 426 + 3*q. -4*q + 432 Collect the terms in -126 - 450 - 7*g + 5*g. -2*g - 576 Collect the terms in -5*n + 5*n + 163 - 40*n**3 + 44*n**3. 4*n**3 + 163 Collect the terms in -2 + 74071*r**3 + 2 - 148137*r**3 + 74065*r**3. -r**3 Collect the terms in 6*g - g + 4*g - 4*g - 5*g + 4*g. 4*g Collect the terms in -22762*q**3 + 11267*q**3 + 11392*q**3. -103*q**3 Collect the terms in 11*n - 17*n**2 - 11*n. -17*n**2 Collect the terms in -33*g**2 - 48*g**2 - 231*g**2 - 52*g**2. -364*g**2 Collect the terms in 55 - 6 - 5 - 3*a - 6 - 30. -3*a + 8 Collect the terms in 2*h - 2*h + 0*h - 5*h**2. -5*h**2 Collect the terms in 1152*a - 2748*a - 2315*a. -3911*a Collect the terms in 11379*c**2 - 5650*c**2 - 5738*c**2. -9*c**2 Collect the terms in -3*g**2 + 32127379 - 32127379. -3*g**2 Collect the terms in 164*j**2 + 128*j**2 - 47*j**2 + 143*j**2. 388*j**2 Collect the terms in 1 + 10*k**2 - 12*k**2 + 10*k**2 + 11*k**2 + 23*k. 19*k**2 + 23*k + 1 Collect the terms in -248*u**2 - 300*u**2 + 13*u + 11*u + 551*u**2. 3*u**2 + 24*u Collect the ter
{ "pile_set_name": "DM Mathematics" }
wrt v? -360*v**3 Let f(i) = 2*i**2 + 3*i - 2. Let m = -2 - -4. Let j(t) = 10*t**2 + 16*t - 11. Let q(y) = m*j(y) - 11*f(y). Find the second derivative of q(o) wrt o. -4 Let v(r) = 9*r**3 - 10*r**2. Let q be 16/40*(-10)/(-4). Let z(k) = k**3. Let l(m) = q*v(m) - 6*z(m). What is the third derivative of l(u) wrt u? 18 Let d(a) be the second derivative of a**4/4 - 7*a**3/6 + 7*a. Find the second derivative of d(n) wrt n. 6 Suppose -6*t + t + 10 = 0. Let m = 4 - t. What is the third derivative of 6*h**6 + h**6 - 4*h**6 - 2*h**m wrt h? 360*h**3 Let r = -7 - -7. Let k be (-2)/(-4)*1*6. Find the third derivative of r*m**3 + 0*m**k - m**5 - m**2 wrt m. -60*m**2 Let c(y) be the second derivative of -y**9/84 - y**5/60 - y**2/2 + y. Let z(j) be the first derivative of c(j). Find the third derivative of z(m) wrt m. -720*m**3 Differentiate -2*i**3 + 1656*i - 1656*i + 9 wrt i. -6*i**2 Let w(b) be the first derivative of -5*b**4/4 + b**3 - 13*b**2/2 + 35. Find the second derivative of w(f) wrt f. -30*f + 6 Suppose -5*v - 4*a - a = -15, -4*a + 6 = 3*v. Differentiate -v + 2 + 2*d**3 + 5*d - 5*d wrt d. 6*d**2 Let q(x) be the first derivative of -2*x + 0*x**2 + 6 + 4/3*x**3. Differentiate q(i) with respect to i. 8*i Let s be (3 - 0)/((-6)/(-8)). Suppose 0*j = 2*j - s. What is the third derivative of j*k**2 + 2*k - 2*k - 3*k**3 wrt k? -18 What is the second derivative of -4*o - 4*o + 2*o**3 - 9*o**3 - 9*o wrt o? -42*o What is the second derivative of 0 + 36*u**5 + 2 + 34*u**5 - 65*u**5 + 30*u wrt u? 100*u**3 Let d(w) be the second derivative of 4*w**7/21 + w**4/12 + 4*w. What is the third derivative of d(s) wrt s? 480*s**2 Differentiate -3 + 6 + 0*p - 2*p - 2*p with respect to p. -4 Let w(f) = -f**2 - f + 1. Let v = -2 - 1. Let n = -2 - v. Let x(d) = 4*d**2 + 3*d - 2. Let i(u) = n*x(u) + 3*w(u). Find the first derivative of i(s) wrt s. 2*s Let d(f) be the third derivative of f**5/10 - f**4/8 + 3*f**2. What is the second derivative of d(x) wrt x? 12 Let i(d) be the third derivative of -d**7/42 - d**4/4 + 2*d**2. Find the second derivative of i(t) wrt t. -60*t**2 Let o be 18/(-3)*1/(-3). Differentiate -3 + 3*k**4 + o*k**4 - 2*k**4 - 8*k**4 with respect to k. -20*k**3 Let l(v) = -5*v**3 - v**2 - 34. Let x(w) = 15*w**3 + 3*w**2 + 102. Let d(y) = 8*l(y) + 3*x(y). What is the third derivative of d(h) wrt h? 30 Let w(u) be the third derivative of -11*u**9/504 - u**5/15 - 5*u**2. What is the third derivative of w(t) wrt t? -1320*t**3 Let u(d) = -3*d**2 - 7*d - 4. Let f(m) = -m. Let b be 2*((1 - -1) + 5). Let r(t) = b*f(t) - 2*u(t). What is the derivative of r(l) wrt l? 12*l Let r = 4 - 3. Let w be r*5 - (-3 + 3). Find the second derivative of -2*y**4 + 4*y - w*y + 3*y**4 wrt y. 12*y**2 Let l(v) = 160*v**4 - 96*v + 160. Let a(m) = -m**4 + m - 1. Let r(t) = -96*a(t) - l(t). Find the first derivative of r(f) wrt f. -256*f**3 Let j(l) = -11*l**6 + 3*l**3 - 36*l**2 - 3*l - 3. Let i(r) = r**6 + r**3 - r - 1. Let m(h) = 3*i(h) - j(h). Find the third derivative of m(n) wrt n. 1680*n**3 Let b(s) = -14*s**5 + 27*s. Let h(m) = -13*m**5 + 28*m. Let w(k) = -5*b(k) + 6*h(k). Find the second derivative of w(t) wrt t. -160*t**3 Let p(q) be the first derivative of q**10/720 + q**6/90 - 2*q**3 + 5. Let z(r) be the third derivative of p(r). What is the third derivative of z(w) wrt w? 840*w**3 Let s(y) = 2*y - 8. Let k be s(6). Find the second derivative of -d + d**k - 4*d + d**4 - 6*d**4 wrt d. -48*d**2 What is the derivative of -38 + 30 - 6*c**4 + 5*c**4 wrt c? -4*c**3 Let u(t) be the first derivative of -32*t**3/3 + 12*t**2 - 22. Find the second derivative of u(x) wrt x. -64 Let v(r) be the second derivative of -r**6/6 - 11*r**4/6 + 26*r. What is the third derivative of v(x) wrt x? -120*x Let r = -7 - -9. Find the second derivative of -b - 3*b**r + 2*b**2 - 4 + 4 wrt b. -2 Suppose 5*m - 40 = -5*q, 7 = 5*m + q - 13. Find the second derivative of 8 - 8 - y + 4*y**m wrt y. 24*y Let z(c) = 8*c**2 + 13*c + 7. Let d(r) = 4*r**2 + 6*r + 3. Let a(q) = -7*d(q) + 3*z(q). Find the second derivative of a(k) wrt k. -8 Suppose -4*u - p = 4*p - 28, 0 = 3*u - 5*p - 21. Find the third derivative of -z**3 - 3*z**3 + 2*z**3 - 7*z**2 - u*z**3 wrt z. -54 Let j = 6 - 2. What is the derivative of 3*v - 4*v - j + 3*v + 0 wrt v? 2 Suppose 4*g = 3*g. Let l(x) be the second derivative of 0 + 0*x**4 + g*x**3 + x**2 - x + 1/10*x**5. Differentiate l(i) with respect to i. 6*i**2 Let a(d) = 0*d - 3*d**2 + d - 2 + 2*d. Let t(c) = -6*c**2 + 5*c - 3. Let k(l) = -5*a(l) + 3*t(l). Differentiate k(j) wrt j. -6*j What is the first derivative of -6*x - 42 - 20 - 13 wrt x? -6 Let o(f) be the first derivative of -6*f**5/5 + 8*f**3/3 - 6. Find the third derivative of o(i) wrt i. -144*i Let m = 14 - 10. Find the second derivative of m*i**4 - 5*i + 3*i - 4*i**4 - i**5 wrt i. -20*i**3 Let b = 2 - -1. Suppose -b = 4*f - 15. What is the third derivative of a**2 + 2*a**2 + 8*a**3 - 9*a**f wrt a? -6 Let w(q) be the second derivative of q**7/14 + 13*q**4/12 + 3*q. What is the third derivative of w(r) wrt r? 180*r**2 Let v(w) = -45*w**4 + 35*w**2. Let n(f) = -46*f**4 + 36*f**2. Let j(p) = 3*n(p) - 4*v(p). What is the third derivative of j(i) wrt i? 1008*i Let f(l) = -6*l**5 - 5*l**4 + 7*l**2 - 5. Let v(i) = 21*i**5 + 18*i**4 - 24*i**2 + 18. Let a(j) = -18*f(j) - 5*v(j). Find the third derivative of a(d) wrt d. 180*d**2 Let x(p) = -10*p**2 - 3*p - 9. Let l(k) = k**2 - k. Let y(w) = -3*l(w) + x(w). Differentiate y(b) with respect to b. -26*b Let f(t) be the third derivative of t**8/21 + 25*t**4/24 + 5*t**2. What is the second derivative of f(i) wrt i? 320*i**3 Let n = 8 + -4. Differentiate 1 - 4 + 2*f**4 - 4*f**n wrt f. -8*f**3 Let o = 1 - -3. Let u(x) be the first derivative of 1/5*x**5 + 2 + 0*x**2 + x + 0*x**3 + 0*x**o. Differentiate u(h) with respect to h. 4*h**3 Let g be -1*(-4 - 5)/3. Let i(q) be the first derivative of -1 + 0*q**2 - 1/3*q**3 + g*q. Differentiate i(v) wrt v. -2*v Let x be (-36)/(-15) - (-4)/(-10). Find the third derivative of 7*j**x - j**2 - 2*j**2 - 2*j**5 wrt j. -120*j**2 Let o(h) be the third derivative of 17*h**6/120 - 17*h**4/12 - 34*h**2. What is the second derivative of o(a) wrt a? 102*a Let z(t) be the third derivative of t**6/15 + 5*t**3/6 - 6*t**2. Find the first derivative of z(n) wrt n. 24*n**2 Let j(t) be the third derivative of -t**9/63 + t**5/6 - 22*t**2. What is the third derivative of j(x) wrt x? -960*x**3 Let v(l) be the second derivative of 5*l**3/6 + 3*l**2 + l. Find the first derivative of v(s) wrt s. 5 Let o(q) be the third derivative of q**6/24 - 3*q**5/20 - q**2. Find the third derivative of o(h) wrt h. 30 What is the second derivative of -2*d - 55*d**3 + 55*d**3 + 6*d**5 wrt d? 120*d**3 Let x(n) = -11*n**3 + 28*n**2. Let z(s) = -6*s**3 + 14*s**2. Let a(u) = -2*x(u) + 5*z(u). What is the third derivative of a(w) wrt w? -48 Let f(h) be the second derivative of -7*h**5/20 - 11*h**3/3 + 15*h. What is the second derivative of f(y) wrt y? -42*y Let q = 4 + -1. Find the first derivative of l**2 - 4*l - 7*l**2 + 4*l + q wrt l. -12*l Let q = 3 - -1. Differentiate -q*p**2 + 1 + 3*p**3 + 4*p**2 wrt p. 9*p**2 Let c(z) be the third derivative of -z**5/12 - 7*z**4/8 - 14*z**2. Find the second derivative of c(j) wrt j. -10 Let v = 8 - 3. Suppose 0 = q - i - 0*i - 3, -3*q + 5*i = -v. Find the second derivative of 5*n**5 + n**q - n**5 - n - 3*n**5 wrt n. 40*n**3 Let n(j) be the third derivative of 2*j**7/105 - 7*j**4/24 - 7*j**2. Find the second derivative of n(t) wrt t. 48*t**2 Let b be 74/26 - (-4)/26. What is the second derivative of 3*g**4 - 2*g + 0*g**b + 3*g + 0*g**3 wrt g? 36*g**2 Let l(h) be the third derivative of 5*h**4/12 + 11*h**3/6 + 4*h**2. Differentiate l(y) wrt y. 10 Find the third derivative of -4*k**6 + 5*k**2 - 3*k + 2*k**6 + 3*k wrt k. -240*k**3 Let a(l) = 4*l**3 - l + 1. Let h be a(1). Suppose -i + h*i - 12 = 0. What is the second derivative of i*b**5 - 4*b + 4*b - b - 3*b wrt b? 80*b**3 Let k(u) = -46*u**2 + 28*u - 5. Let z(x) = -45*x**2 + 29*x - 4. Let s(m) = -4*k(m) + 5*z(m). What is the second derivative of s(b) wrt b? -82 Let j(z) be the second derivative of -z**6/30 + 4*z**5/5 - 3*z**4/4 + 29*z. Find the third derivative of j(g) wrt g. -24*g + 96 Let x = 0 + 18. Suppose -t - h =
{ "pile_set_name": "DM Mathematics" }
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3650 What is the next term in -10922, -10820, -10720, -10622, -10526? -10432 What comes next: 1618, 1678, 1738, 1798, 1858, 1918? 1978 What comes next: -40, 202, 414, 578, 676, 690? 602 What is the next term in -15398, -15446, -15520, -15626, -15770? -15958 What is next in -323927, -323921, -323905, -323873, -323819, -323737, -323621? -323465 What is the next term in -36198, -144796, -325794, -579192, -904990? -1303188 What is next in 75085, 75087, 75089, 75091, 75093, 75095? 75097 What is the next term in -52, -65, 72, 437, 1108, 2163? 3680 What comes next: -5025, -5067, -5193, -5445, -5865, -6495, -7377? -8553 What is next in -9030, -18065, -27128, -36231, -45386, -54605? -63900 What is next in 9042, 8989, 8842, 8553, 8074, 7357, 6354, 5017? 3298 What comes next: -21738, -21739, -21740, -21741? -21742 What is next in 5111, 10218, 15315, 20396, 25455, 30486, 35483, 40440? 45351 What is the next term in 385, 381, 383, 391, 405, 425? 451 What comes next: 1682, 2015, 2348, 2681? 3014 What is the next term in -120059, -240125, -360193, -480263, -600335, -720409? -840485 What is the next term in -43981, -43984, -43987, -43990? -43993 What is the next term in -1011, -453, 105? 663 What comes next: 12469, 12424, 12377, 12322, 12253? 12164 What comes next: 2502, 3725, 4958, 6207, 7478? 8777 What is the next term in -24748, -49481, -74200, -98899, -123572, -148213, -172816, -197375? -221884 What comes next: 429, 848, 1253, 1644? 2021 What is next in 507, 422, 337, 252, 167, 82? -3 What comes next: -4608, -9236, -13864, -18492? -23120 What comes next: -572, -633, -694, -755, -816? -877 What is next in -190, -256, -368, -526, -730, -980, -1276? -1618 What is the next term in -14359, -14386, -14411, -14434? -14455 What is the next term in -2967, -2700, -2255, -1632? -831 What is next in -409, -3414, -11569, -27448, -53625? -92674 What comes next: -126, -195, -312, -477, -690, -951, -1260? -1617 What is the next term in -198, -297, -360, -387, -378? -333 What is next in -3365, -3486, -3607, -3728? -3849 What is the next term in 42, 85, 148, 237, 358, 517, 720, 973? 1282 What is the next term in -353736, -353738, -353740, -353742, -353744, -353746? -353748 What is the next term in 923, 938, 959, 992, 1043, 1118, 1223? 1364 What comes next: 2552, 2556, 2562, 2570? 2580 What comes next: -865, -884, -929, -1012, -1145, -1340? -1609 What is the next term in -1527, -3063, -4611, -6183, -7791, -9447? -11163 What is next in 8291, 8299, 8311, 8327, 8347, 8371? 8399 What is the next term in 107, 188, 299, 422, 539, 632? 683 What comes next: 144, 492, 1062, 1854, 2868, 4104, 5562? 7242 What comes next: 14, 233, 832, 2003, 3938, 6829, 10868, 16247? 23158 What is the next term in 1293, 1254, 1215, 1176? 1137 What comes next: -741, -3535, -8197, -14733, -23149? -33451 What is the next term in 7846, 31385, 70616, 125539, 196154? 282461 What is the next term in 849620, 849629, 849638, 849647, 849656, 849665? 849674 What comes next: -14618, -14643, -14668, -14693, -14718, -14743? -14768 What is next in 1182, 1280, 1378? 1476 What comes next: -5079, -5074, -5067, -5058, -5047, -5034, -5019? 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7083 What is next in 4489, 9001, 13537, 18097, 22681? 27289 What is next in 140433, 280865, 421297, 561729, 702161, 842593? 983025 What is next in -14103, -28219, -42335, -56451? -70567 What is the next term in 16887, 16888, 16889, 16890? 16891 What comes next: -2251, -2158, -2069, -1984? -1903 What is the next term in 44046, 88088, 132130, 176172? 220214 What is the next term in -758, -574, -268, 160, 710? 1382 What is the next term in -2976, -5940, -8904, -11868? -14832 What comes next: -212, -406, -592, -770? -940 What is next in -1265, -2518, -3771, -5024? -6277 What is the next term in -1098, -4285, -9550, -16899, -26338? -37873 What comes next: 855842, 855841, 855840, 855839? 855838 What is the next term in 1665, 3427, 5189, 6951, 8713, 10475? 12237 What comes next: 107, 157, 223, 293, 355? 397 What is the next term in 8538, 17021, 25504, 33987? 42470 What comes next: 646, 3521, 8304, 14989, 23570, 34041? 46396 What is next in -9511, -19269, -29027? -38785 What is the next term in -416, -1457, -3120, -5405, -8312, -11841, -15992? -20765 What is next in -7684, -7457, -7230, -7003, -6776, -6549? -6322 What is the next term in -303072, -303073, -303074, -303075? -303076 What comes next: -961, -7675, -25897, -61381, -119881? -207151 What comes next: -158, -561, -1230, -2165, -3366, -4833, -6566? -8565 What is the next term in -7984, -7969, -7954? -7939 What is next in -108, -101, -144, -279, -548, -993? -1656 What is the next term in 24467, 24480, 24493, 24506, 24519? 24532 What is next in -8960, -17904, -26850, -35798, -44748, -53700, -62654? -71610 What comes next: -443, -919, -1395, -1871? -2347 What is the next term in 2026, 8099, 18220, 32389, 50606, 72871? 99184 What comes next: -6787, -13627, -20513, -27445, -34423? -41447 What is next in -614, -1154, -1668, -2144, -2570, -2934, -3224, -3428? -3534 What comes next: -865, -1331, -1793, -2251, -2705, -3155? -3601 What is the next term in 6958, 13933, 20914, 27901, 34894, 41893, 48898? 55909 What comes next: 32, 54, 90, 140, 204, 282? 374 What is the next term in -1295, -1327, -1359? 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{ "pile_set_name": "DM Mathematics" }
g + 19. Let r be (96/15)/8 + 1554/70. What is j(r)? -4 Let m(i) = 35*i + 17. Let d(y) = 193*y + 84. Let v(l) = 2*d(l) - 11*m(l). Give v(5). -14 Let d(q) = -q**3 + 105*q**2 - 594*q + 5. Let m be d(99). Let o(t) = -t**3 + 5*t**2 + 2*t - 1. Give o(m). 9 Suppose 91*l - 79 - 194 = 0. Let n(f) be the second derivative of 0*f**2 - 25*f + 1/6*f**l + 0. Calculate n(6). 6 Let t(a) = -a - 1. Let q(f) = 6*f + 10. Let c be 504/98 + 1/(-7). Let w(r) = c*t(r) + q(r). Let j be -6 + 6 - 4/1. Determine w(j). 1 Let x(w) = 2*w - 1. Let h(b) = 17*b - 13. Let o(y) = -1209*y + 923. Let u(s) = -143*h(s) - 2*o(s). Let l(q) = u(q) + 6*x(q). Determine l(7). 0 Let c be (2/((-20)/30) - (1 + 4)) + 10. Let f(i) = -2*i**2 + 2*i - 3. What is f(c)? -7 Let r be (-120)/18 + (-6)/(-9). Let p(o) = 4*o**2 + 6*o - 9. Let c be p(r). Suppose 0 = -10*h - h - c. Let s(k) = -k**3 - 10*k**2 - 6*k + 13. What is s(h)? -14 Let x(h) = -73*h**2 - 91*h - 21. Let r(u) = 127*u**2 + 185*u + 41. Let l(q) = -3*r(q) - 5*x(q). Give l(-6). 6 Suppose -5*g = -53*g - 21*g - 414. Let w(z) = -z**2 - 6*z + 9. Give w(g). 9 Let d be (-3)/9 + 165/9. Suppose -2*m + 8 = 0, -m = 3*x - 131 + 55. Let v = x - d. Let g(q) = -q - 1. What is g(v)? -7 Suppose 0 = y + 2*r + 1, 0 = -6*y + 9*y + 3*r + 9. Let u(v) = -2*v**2 - 6*v - 6. What is u(y)? -26 Suppose 0 = y - 3*y - 18. Let m(c) = 23*c - 204. Let z be m(9). Let f(n) = 8 - 10*n + 5*n + z*n + 4*n. Give f(y). -10 Let z(p) = -p + 8. Let t be 37872/540 + -33 + 2/(-15). Give z(t). -29 Let z(i) = -i**2 + 36*i - 208. Let b be (26/(-13) + 1)*1*-29. What is z(b)? -5 Suppose -4*j - 187 = -223. Suppose -j*f + 10*f - 6 = 0. Let r(x) = -x**3 + 5*x**2 + 4*x + 8. What is r(f)? -4 Let x(p) be the third derivative of -p**4/24 + 25*p**3/6 + 3*p**2 + 74*p. Calculate x(27). -2 Let c(u) = u**3 - 13*u**2 + 17*u + 4. Suppose 4*m + 4 = 0, 4*m + 40 = -2*x + 5*x. What is c(x)? 64 Suppose 0 = b - 2 + 6. Let w(i) be the first derivative of 44 - 2*i - 1/2*i**2. What is w(b)? 2 Let x be 6/(-90)*6 + 32/5. Let y(c) = 6*c - 48. What is y(x)? -12 Let b(c) = -7*c**3 - 6*c**2 + 10*c - 5. Let z(x) = 20*x**3 + 17*x**2 - 28*x + 14. Let p(o) = -17*b(o) - 6*z(o). Give p(1). -2 Let x be (-121 - -121)/(9 + -5). Let f(b) = -5*b + 4*b - 10 + 0*b. What is f(x)? -10 Let n be (-1)/((17/323)/((3 - 5)/2)). Let w(f) = -f**3 + 19*f**2 + f - 24. Calculate w(n). -5 Let v(s) be the first derivative of -s**4/4 + 5*s**3/3 + 7*s**2/2 - 5*s + 4684. Let q(f) = 2*f - 4. Let x be q(5). Let w = 12 - x. Determine v(w). 1 Let h = -4 - -2. Let z = 40 + -3. Let r(v) = z + 42 + 44 - 122 - v. What is r(h)? 3 Let i(g) = 11*g**2 + 7 + 18*g + 2 - 1256*g**3 - 3*g**2 + 1257*g**3. What is i(-5)? -6 Let u(b) = b + 10*b - 3*b**2 - 19 + 4*b**2. Let n = 107170 + -107183. Give u(n). 7 Let u(i) be the second derivative of -3*i**5/20 + i**4/6 + i**2/2 - i. Let s = -293209 - -293211. Give u(s). -15 Suppose -2*q = 3*k + 3, 5*k - 4*q - 20 = q. Let t(f) = 141*f**2 - 1 - 60*f**2 + f - 43*f**2 - 63*f**2. Give t(k). -25 Let m(k) be the first derivative of 5/6*k**3 + 3/2*k**2 - 9 - 16*k. Let r(x) be the first derivative of m(x). What is r(-3)? -12 Let o be (1/2)/((-1)/(-14))*1. Suppose 36 = -o*l + 57. Let n(z) = -z**3 + 2*z**2 + 5*z - 3. Give n(l). 3 Let h(d) = -75*d - 754. Let k(a) = -a**3 + 57*a**2 - 83*a + 8168. Let l be k(58). Calculate h(l). -4 Let o(a) be the second derivative of -a**3/6 + 3*a**2/2 - 226*a. Determine o(1). 2 Let t(k) be the second derivative of k**3/6 + k**2 + k - 606. Let b be ((-7)/(-21))/(1/(-9)). Give t(b). -1 Let q(c) = -c**2 + 8*c - 22. Suppose 14*a - 19*a = 4*p - 12, 5*p - 2*a = 48. Give q(p). -22 Let c(h) = h - 5. Let m(n) = -n**2 + 10*n + 5. Let x be m(8). Suppose -5*q + 10 = -3*q. Suppose i + 4*i + 4*t - 7 = 0, -q*i + 3*t = -x. What is c(i)? -2 Let f(r) = -2*r + 2. Suppose 21*b = -12 + 96. Suppose -b*u = -9 - 15. Calculate f(u). -10 Let g(l) = -l + 1. Let i = 79 + -52. Let u(s) = -s**3 + 28*s**2 - 27*s + 1. Let w be u(i). Give g(w). 0 Let m(h) = -8*h + 2. Let u be 6/4 + 21/6 + -3. Suppose u*z = 4*z - 4. Suppose -z*c = -5*l + 4, 3*l + 10 = 5*c + 1. Give m(c). -22 Let p = -342 + 344. Let t(w) = -2*w**3 - 136775*w + 2*w**p + 136775*w. Determine t(2). -8 Let x(d) be the second derivative of -5*d + 6 - d**3 + 2*d**2 + 1/12*d**4. Suppose -3*j + 23 = q, -3*j + 5*j = 4*q - 8. Give x(j). 4 Let g(y) be the third derivative of y**6/720 + 2*y**5/15 - 65*y**4/8 + 2*y**2 - 43. Let m(o) be the second derivative of g(o). Give m(-15). 1 Let c(x) = -11*x + 32. Suppose 54*k - 52*k = 3*f + 2, -2*k = 3*f - 14. Determine c(f). 10 Let z(s) be the first derivative of -3*s**2/2 + 3*s + 4. Let t = -295 + 291. Let o be ((-7)/28)/((-141)/(-36) + t). Determine z(o). -6 Let q(v) = -10*v**2. Suppose -24 = -z - 3*z. Let n be -1*((-9)/z)/(1/2). Suppose 3*i + 9 = 3*t, t + 17 = -n*i + 6*t. What is q(i)? -10 Let v(j) = 6*j + 54. Let w be v(-10). Let m(i) = -i**3 + 4*i**2 + 4*i + 8. Let c be m(5). Let x(n) = 6*n - n**c + 0 - 11*n**2 - 1 - 4 + 6*n**2. Give x(w). -5 Let v(i) be the third derivative of i**5/60 + i**4/3 - 3*i**3 + i**2. Suppose 3*z + o = -30, 7 = z - 5*o + 17. Determine v(z). 2 Let p = 1497 + -1492. Let c(m) = -m**3 + 6*m**2 - 5*m - 2. What is c(p)? -2 Let q be (2/(-2))/(50/(-45) + 1). Let s(t) = -t**3 - t**2 - 1. Let h(w) = 6*w**3 - 3*w**2 - 8*w - 1. Let m(k) = h(k) + 5*s(k). Calculate m(q). 3 Let t(k) = 2*k**3 - 9*k**2 + 12*k - 7. Let h(r) = 6*r**3 - 22*r**2 + 37*r - 21. Let p(c) = -2*h(c) + 7*t(c). Determine p(9). 2 Let b(r) = -6*r**3 - 3*r**2 + 2*r - 1. Let k = 1498 + -1496. Calculate b(k). -57 Let g(x) = -8*x**3 + 20*x**2 + 25*x + 9. Let z(s) = -3*s**3 + 10*s**2 + 12*s + 5. Let b(n) = 2*g(n) - 5*z(n). Calculate b(-6). -91 Let u(r) be the second derivative of 2*r**3/3 + 2*r**2 - 17*r + 8. Calculate u(3). 16 Let h(c) = -21*c**2 - c - 3. Let t be (-8 - -6)/(6/3). What is h(t)? -23 Suppose 39*x + 211 = -62. Let i(f) = 40*f + 114. Let d(j) = 11*j + 38. Let z(w) = x*d(w) + 2*i(w). Calculate z(12). -2 Suppose -5*z + 13 = -12. Suppose z*o - 15 = -150. Let l be ((-2)/(-6))/(8 + 219/o). Let v(r) = 2*r + 3. What is v(l)? -3 Let u(s) be the third derivative of s**5/120 + s**4/8 - 35*s**3/6 + s**2 - 28. Let v(b) be the first derivative of u(b). Calculate v(-11). -8 Suppose 242*i - 261*i + 190 = 0. Let h(b) = -7*b + 29. Give h(i). -41 Let c be ((-32)/(-12))/(2/9). Let i(t) be the third derivative of t**4/24 - 11*t**3/6 + 17*t**2. Determine i(c). 1 Let x(q) = q**2 + 6*q - 30. Let a(r) = -2*r**2 - 38*r - 64. Let s be a(-17). Give x(s). 10 Let u(p) = p**3 + p**2 - 2*p - 2. Let o = -31 + 51. Suppose 0 = -9*h + 14*h - o. Suppose 0 = -10*g + 8*g - h. Give u(g). -2 Suppose 0 = 24*q + 3*q - 1539. Let n(x) = -56 + 175 - 2*x - 62 - q. Calculate n(-8). 16 Let m = 7818 + -7818. Let w(x) = x**2 - x. Calculate w(m). 0 Suppose 12*k - 288 = -24*k. Let y(j) = k - 10 + 7 - j + 0 + 0. Let r be (0/(-3))/(1*2). What is y(r)? 5 Let f(o) = -13*o. Let n(g) = -21*g. Let r(p) = -6*f(p) + 4*n(p). Let k be 3 - 2/(-3)*-6. Calculate r(k). 6 Let x(t) = -13*t**3 - 142*t**2 - 38*t - 549. Let i be x(-11). Let a(r) = -8*r**2 + 9*r + 1 - r**3 - 2*r**2 + r**2. Determine a(i). 11 Let r(c) be the first derivative of 37*c**2/2 + 28*c - 3594. Determine r(-1). -9 Let h(k) = k**2 - 4*k - 4. Let q(y) be the third derivative of y**6/60 - 13*y**5/60 - y**4/8 - 4*y**3 + 163*y**2. Let p be q(7). Determine h(p). -4 Let k be -5 - (3 + -2)/((-37)/259). Let q(w) = -w**2 - 4*w + 13. What is q(k)? 1 Let q(m) be the third derivative of -m**6/360 - 7*m**5/120 + m**4/4 - 10*m**3 - m**2 + 7. Let d(x) be the first derivative of q(x). Give d(-7). 6 Let t(n) be the second derivative of 0 + 1/2*n**3 - 7*n + 1/2*n**2. Let r = 133 + -130. What is t(r)? 10 Let g(p) be the third derivative of p**6/120 + p**5/3 - 5*p**4/6 + 8*p**3/3 - 1425*p**2. Determine g(-21). -5 Let w(b) = 14*b - 1. Let i be 5/1 + 8 + -9. Suppose n + m = 1 + 4, 3*n - i*m = -6. Let f be n/(-5)*(-10)/8*2. Give w(f). 13 Suppose -10*n - 208 = 30 - 38. Let i(r) = r**2 + 20*r + 21. What is i(n)? 21 Let i(d) = 4*d**3 - d**2 + 2*d - 1. Let b be i(1). Let a(w) = 7*w + 1. Let m(g) = 106*g + 17. Let o(z) = 15*a(z) - m(z). Determine o(b). -6 Suppose -24*b = -23*b - 6, 35 = 5*k + 5*b. Let s(m) = -12*m**3 + m**2 + 1. Give s(k). -10 Let v(d) = -d**2 + 5*d - 3.
{ "pile_set_name": "DM Mathematics" }
6/180 - x**5/20 + 5*x**4/6 + 58*x. Let k(f) be the third derivative of d(f). Determine k(4). 10 Let z(g) = -5*g - 2. Suppose -29 + 35 = -3*x. Let p be 9 - (-4 + 11 + x). Suppose 12 = p*u - u. What is z(u)? -22 Let b = -2583 + 2585. Let i(z) = -8*z**2 - 2. Give i(b). -34 Let o(d) = -d**3 + 5*d**2 - 3*d - 2. Suppose -135*a = -138*a + 60. Suppose 4*n + a = 9*n. What is o(n)? 2 Let u(g) = -2*g**3 + 17*g - 32504 + 32505 + 3*g**3 - 18*g**2. Let b be u(17). Let y(j) = 8*j**2 + j - 1. What is y(b)? 8 Suppose 8*j = 3*j + 20. Let x(g) = -9*g - 5 + 33*g + g**2 - 13*g + 11 - 15*g. What is x(j)? 6 Let a(f) = 7*f**2 + 3*f - 18. Let v(t) = -3*t**2 - t + 9. Let b(n) = 2*a(n) + 5*v(n). Suppose 22*y - 16 + 60 = 0. Let r be 7 + -13 - y - -4. What is b(r)? 9 Let k = -17 - -10. Let j(f) be the second derivative of -f**5/20 - 7*f**4/12 - f**3 + 3*f**2 - 22822*f. Calculate j(k). 48 Let n(c) = c**3 + 6*c**2 + 3*c + 1. Suppose 8*w + 56 = -488. Let l = 63 + w. Calculate n(l). 11 Suppose -41*b = -32*b - 45. Suppose -2*l = -2*a - 7*l + 34, 3*l = -b*a + 47. Let g(v) = v. What is g(a)? 7 Let c(i) = i**2 - 25*i + 16. Let j(y) = -29*y + 18. Let t(m) = -6*c(m) + 5*j(m). Calculate t(2). -20 Let i(b) = -b**3 + 19*b**2 - 15*b - 50. Suppose -2*j - 108 = -8*j. Let o be i(j). Let c(q) = -q**2 + 2*q + 2. What is c(o)? -6 Let f = -12123 + 12117. Let n(v) = -5*v**3 - 29*v**2 + 9*v + 1. Calculate n(f). -17 Let d(w) be the first derivative of -w**2/2 + 8*w - 1. Suppose q = -4*p + 8, 0 = -2*q + 2*p + 11 - 15. Suppose q = -9*n + 53 + 1. What is d(n)? 2 Let g(n) = 221*n + 18. Let p(o) = -63*o - 6. Let v(z) = 2*g(z) + 7*p(z). Give v(0). -6 Let o(w) = 8*w - 3*w**2 + 15 - 6 + 4*w**2. Let y be 2 + -2 + ((-25)/((-350)/84))/(-1). Calculate o(y). -3 Let d(x) = x - 18. Let y be d(-10). Let r = 11 + y. Let l = r + 11. Let n(p) = p**3 + 7*p**2 + 7*p - 7. Give n(l). -13 Let l(k) = -14*k**3 + 3*k**2 - 7*k - 9. Let y(w) = 23*w**3 - 6*w**2 + 14*w + 18. Let x(m) = -5*l(m) - 3*y(m). Determine x(-4). 3 Let u(k) = -1 + 16*k**3 + 9*k - 15*k**3 + 2 + 6*k**2 + 2. Calculate u(-4). -1 Let k(y) be the third derivative of -y**4/24 + 5*y**3/6 + 2*y**2. Let b = -126 - -136. Let c be (3*(-6)/15)/(2/b). Give k(c). 11 Let h(u) = -2*u + 7 + 5*u - 2 + 1. Let v be h(0). Let z(n) = n + 5 + 5*n**2 - 5*n**3 + v*n**3 - 3. What is z(-5)? -3 Let s(c) = -c**2 - 5*c + 1. Let m be s(-5). Let w(h) = 50*h**2 + 16*h - 1 - h**3 - 43*h**2 - m - 7*h. Determine w(8). 6 Let s(t) = t**2 - t. Let l be (28/10)/((-854)/(-610)). Calculate s(l). 2 Let c(g) = 2*g - 35. Let h(m) = -m + 19. Let y(t) = 6*c(t) + 11*h(t). Let a(z) = z + 6. Let p(d) = -a(d) - 2*y(d). Calculate p(-3). 5 Let f = -5 - -4. Let m(j) = 241*j - 543*j + 0 + 0 + 279*j. Determine m(f). 23 Let m(g) be the second derivative of 1/6*g**3 + 14 - 3*g - 5*g**2. Give m(9). -1 Let y(m) = -3*m**2 - 25*m - 33. Let d be y(-6). Let x(c) = -6 + 9 - d + c - 8. Give x(16). 2 Suppose -28*m - 38 = -8*m + 18*m. Let c(o) = -36*o**3 + 2*o**2 + 2*o + 1. What is c(m)? 37 Let h = 557 + -553. Suppose 5*b + 4*o = 11, -10 - 6 = -4*b + 4*o. Let v(g) = -2*g**2 + 3*g**b - 10*g**2 + 8*g**2 - 5 - 2*g**3 + 2*g. Give v(h). 3 Let a = 546 + -559. Let i(m) = m**3 + 14*m**2 + 16*m + 28. Determine i(a). -11 Let i = 6 - 6. Let k(t) = 8*t + 0*t - 9*t + 4*t - t + 7. What is k(i)? 7 Let z(f) be the first derivative of f**4/4 - 5*f**3/3 - f**2/2 + 13*f - 2531. Give z(5). 8 Let g(s) = -28*s - 34. Let l(a) = -9*a + 5. Let o(v) = -g(v) + 4*l(v). What is o(13)? -50 Let q(d) = -d**2 - 5*d - 3. Suppose 0 = 2*i + 8 - 4, 0 = 2*x - 4*i + 14. Let k be (10 + x)*1*5. Give q(k). -3 Let x = 1734 - 1734. Let f(a) be the third derivative of x*a + 0*a**3 + 1/12*a**4 + 0 + 9*a**2. Determine f(-1). -2 Let q(s) = -11*s - 35. Let h(k) = -53*k - 169. Let m(v) = -6*h(v) + 29*q(v). Calculate m(-5). 4 Let f = -14 + 18. Suppose -3*a = 4*j - a - 22, 4*j = f*a + 4. Let p(r) be the first derivative of r**4/4 - r**3 - 2*r**2 + 2*r + 55. Calculate p(j). 2 Suppose -3*s + 2*b = 2 + 7, -10 = -s + 5*b. Let k(j) be the second derivative of -j**3/6 + 3*j**2 + 1157*j + 2. Give k(s). 11 Suppose -3*n + 3*d + 57 = 0, n + 17 - 24 = -2*d. Let j(g) = -26*g + g + 24 + 8*g**2 + n*g - 9*g**2. Give j(-12). 0 Let j(t) = t. Let a(s) = -6*s + 3. Let p(o) = -a(o) - 5*j(o). Let c be (-106)/14 + 56/98 + 2. What is p(c)? -8 Suppose -8*i + 13*i - 60 = 0. Suppose 0 = 2*y - 2*a + i, 4*y + 2 = a - 22. Let z(d) = 3*d - 8. Calculate z(y). -26 Suppose t = -2*k - 0*k - 7, -5*t + 20 = -k. Suppose j = 2*s - 1, 5*j + t = s + 16. Let b(y) = 5 + 3*y**2 - 4*y**3 - y**2 - 4 + 4*y + j*y**3. Give b(3). 4 Let f(x) = -13*x - 2. Let p(b) = 10*b - 40. Let w(r) = f(r) + p(r). Give w(-9). -15 Let w(s) be the first derivative of 2*s**3/3 - 3*s**2 - 3*s + 1189. Calculate w(4). 5 Let v be (-4)/8*-8 + -40. Let x be (v/(-20))/((-1)/10*2). Let z(b) = -b - 3. What is z(x)? 6 Let n(v) be the second derivative of v**4/12 + 3*v**3/2 + 5*v**2 - v. Let u = -68 - -73. Suppose -j + c - 2 = 0, -5*j + u*c - 6*c - 40 = 0. Give n(j). -4 Let z(t) = -5*t**2 - 4*t - 3. Let v = 34 + -32. Let b(k) = -9*k - 6 - 7*k**2 - 2*k**2 - 2*k**2 + 0*k**v. Let l(h) = -6*b(h) + 13*z(h). Calculate l(-4). 5 Let h(v) = v**3 + 7*v**2 + 2*v + 5. Let b(g) = 356*g + 16. Let a be b(7). Suppose -2504*k = -a*k - 28. Give h(k). -9 Let x(i) = i**2 + 5*i - 5. Let f be x(-6). Let g(h) = 7*h**3 + h**2 - 1. What is g(f)? 7 Suppose 43671 = 495*h + 48126. Let d(m) be the first derivative of -m**4/4 - 10*m**3/3 - 11*m**2/2 - 12*m - 1. What is d(h)? 6 Let a(z) = z**2 - 6*z - 8. Let g(r) = r**2 + 22*r + 43. Let d be g(-20). Suppose -c - 3 = -j, -16 = -d*j - 2*c + 3. Suppose j = 3*w - 13. What is a(w)? -8 Let r(a) be the first derivative of 1/4*a**4 + 11 + 2*a**3 - 2*a**2 - 6*a. Determine r(-6). 18 Suppose 2*k - 4*k = -54. Let i be ((-243)/(-72))/(15/80). Let y be (3*6/k)/((-3)/i). Let q(t) = -t - 1. Give q(y). 3 Let y(t) = -2*t. Suppose -12 = 5*l + 3. Let s(r) be the second derivative of 5*r**3/6 + r**2/2 - 124*r. Let j(d) = l*s(d) - 8*y(d). Determine j(-6). -9 Suppose 281*i = -3005 - 929. Let p(b) = b**3 + 14*b**2 - 5*b - 10. Determine p(i). 60 Let g(d) = 50*d**3 + d**2 - d - 1. Let a(s) = -53*s + 211. Let h be a(4). Give g(h). -49 Suppose -266 = -11*i - 13. Let y(o) = 9*o + 3*o - 12*o + 1 - o + i*o**2. What is y(1)? 23 Let n(b) be the second derivative of -b**5/20 + 5*b**4/4 - 11*b**3/6 + 4*b**2 + 92*b + 3. Determine n(14). 50 Let l = -148 + 142. Let i(c) = 3*c**3 - 12*c**2 - 12*c - 8. Let b(w) = w**3 - w**2 - w. Let k(j) = 4*b(j) - i(j). Determine k(l). 32 Let h(l) = -l**2 + l + 9. Let u = 192 + -27. Let c = -165 + u. Determine h(c). 9 Let l(j) be the first derivative of j**4/24 + j**3/3 - 12*j**2 - 3*j - 71. Let y(r) be the second derivative of l(r). Calculate y(-5). -3 Let t(q) = -q**3 + 5*q**2 - 5*q + 2. Let b(o) = -o**3 + 23*o**2 - 17*o - 6. Let s be b(22). Let j be s/(-32)*4*-2. Suppose j = -g + 30. Give t(g). -2 Let n(f) = 30*f + 1582. Let y(s) = 40*s + 2135. Let p(c) = 11*n(c) - 8*y(c). Give p(-31). 12 Let o be 2/(-43) - (-22102)/(-1849). Let i(t) = 3*t + 30. What is i(o)? -6 Let y = -4345 - -4350. Let a(d) = d**3 - 3*d**2 - 14*d + 17. Give a(y). -3 Suppose 3*g - 2*g - 4 = -2*v, -3*v = 4*g - 11. Suppose -2*i - g*f - 4 = -6*i, -5*f = i - 12. Let p(n) = -n**2 - 1. Calculate p(i). -5 Suppose b - 58 = -57. Let r(a) = 5. Let g(w) = -w. Let d(u) = b*r(u) - g(u). What is d(-5)? 0 Let g(t) be the first derivative of -23*t**2 + 4*t + 4392. Determine g(2). -88 Let m = 1449 - 1430. Let i(x) = x**2 - 21*x + 28. Give i(m). -10 Let l(i) be the second derivative of -3*i**5/10 - i**4/12 - i**3/3 + i**2 + i. Suppose 293925 = 80*v + 293845. Determine l(v). -7 Let z(g) = -g**3 - 21*g**2 + 99*g - 33. Let c be z(-25). Let m(b) = -6*b - 49. Calculate m(c). -1 Let u(s) = 11*s - 78. Let a(c) = -3*c + 20. Let g(r) = -7*a(r) - 2*u(r). Calculate g(-4). 20 Let k(d) = d - 1. Suppose 0 = -39*w + 35*w - 432. Let u be 50/18 - 24/w. What is k(u)? 2 Let g = 2 + -6. Let r(t) = 2*t**3 - t - 2. Let o(l) = -9*l**3 - 4*l**2 + 4*l + 4. Let p(y) = -o(y) - 4*r(y). Give p(g). 4 Let y be 22 + -16 + (-7)/(7/(-48)). Suppose y = -4*r + r - 3*s, r - 3*s + 2 = 0. Let f(k) = -k**3 - 14*k**2 + k + 6. What is f(r)? -8 Let o(a) be the first derivative of 5*a**2/2 - 3*a - 36. Let i = 12 - 12
{ "pile_set_name": "DM Mathematics" }
tiple of 853? True Is 22 a factor of 1321314500? True Is 43 a factor of 20149001? False Is 400739184 a multiple of 76? True Is 74013417 a multiple of 5? False Does 489 divide 367593036? True Is 20 a factor of 1925166840? True Is 50881226 a multiple of 334? True Is 183392294 a multiple of 437? True Is 1110 a factor of 343772550? True Does 5711 divide 412961436? False Is 1284562819 a multiple of 124? False Does 11452 divide 279767921? False Does 12 divide 515213998? False Is 196772465 a multiple of 5? True Does 103 divide 180383282? True Is 7361799750 a multiple of 690? True Does 41 divide 86822338? True Does 12556 divide 1817870236? True Does 3689 divide 155373302? True Does 118 divide 6028384? True Does 67 divide 942228644? False Does 25 divide 16612648? False Is 1349 a factor of 193450195? False Does 7 divide 1326988710? False Is 24900237 a multiple of 259? False Does 245 divide 158920965? True Is 1077 a factor of 454922646? True Is 117 a factor of 71029530? True Is 7396860 a multiple of 114? False Is 268 a factor of 159862531? False Is 46387156 a multiple of 100? False Is 22426235 a multiple of 306? False Is 545796 a multiple of 2? True Does 763 divide 34284051? False Does 235 divide 835433048? False Is 19559306 a multiple of 240? False Does 191 divide 10277901? True Is 10268401 a multiple of 109? False Is 74824064 a multiple of 296? True Does 35 divide 4325440? True Is 70 a factor of 22779190? True Does 122 divide 278264554? True Is 55029420 a multiple of 469? False Does 2 divide 28959181? False Is 193 a factor of 96786605? True Is 592209322 a multiple of 1109? False Does 31 divide 29838926? True Is 315994284 a multiple of 1116? True Does 307 divide 287653007? False Does 1370 divide 690227920? True Does 16 divide 122279824? True Does 652 divide 513125913? False Is 132578033 a multiple of 217? False Is 15788018 a multiple of 31? False Is 255912686 a multiple of 899? False Is 2791510820 a multiple of 20? True Is 52401440 a multiple of 112? True Is 53 a factor of 31106972? True Is 760388724 a multiple of 1638? False Is 1911 a factor of 1188007743? False Is 14 a factor of 478095602? False Is 116866687 a multiple of 119? True Is 27 a factor of 278462836? False Does 197 divide 164129368? True Is 1777 a factor of 127359367? True Does 8 divide 3488195? False Is 32 a factor of 448111936? True Does 61 divide 1720941091? False Does 1730 divide 1657519319? False Does 221 divide 7698267? False Is 647626553 a multiple of 7? True Is 47342742 a multiple of 43? True Is 46594275 a multiple of 627? False Does 1710 divide 75020021? False Is 1014 a factor of 203608158? True Does 21 divide 94673111? False Does 1465 divide 43834265? True Does 1565 divide 4133199? False Is 41 a factor of 256617333? False Is 167996652 a multiple of 219? True Does 1513 divide 71471094? True Is 19 a factor of 374847941? True Is 60217500 a multiple of 420? True Is 331149987 a multiple of 441? True Does 587 divide 20545000? True Does 62 divide 2229086? True Does 7 divide 710892? True Does 3590 divide 32353943? False Is 2864 a factor of 1289203946? False Is 584 a factor of 548011814? False Is 114 a factor of 178273542? True Is 226 a factor of 22613334? True Is 56865020 a multiple of 505? True Is 571736962 a multiple of 5437? False Is 155 a factor of 31069480? False Does 29 divide 1342457560? True Is 83 a factor of 13370653? False Is 186019752 a multiple of 2248? True Is 1219014 a multiple of 6? True Does 186 divide 9043644? False Is 557548760 a multiple of 20? True Is 12 a factor of 17664168? True Is 2034 a factor of 23136065? False Does 2761 divide 72319334? False Is 133 a factor of 4049850? True Does 12 divide 3154527024? True Does 290 divide 57809839? False Is 51784453 a multiple of 7? True Is 483 a factor of 207340111? False Does 284 divide 1270020736? True Is 570 a factor of 141825690? True Is 68 a factor of 837239775? False Is 30137580 a multiple of 2790? True Does 389 divide 15356553? True Is 780 a factor of 822896100? True Is 3477 a factor of 29564931? True Is 127 a factor of 78608174? True Is 585 a factor of 15063806? False Is 359 a factor of 8681697? True Does 3 divide 39334488? True Does 6 divide 13686528? True Does 122 divide 50940399? False Is 18 a factor of 72001368? True Is 56615550 even? True Is 62 a factor of 119730866? True Does 357 divide 15666231? True Is 2145434664 a multiple of 635? False Is 683273819 a multiple of 146? False Is 908 a factor of 3831669346? False Is 77 a factor of 5479243? True Is 46333540 a multiple of 266? False Does 69 divide 87450033? False Is 82 a factor of 94329848? True Does 3016 divide 224355170? False Is 176 a factor of 14291728? True Is 25350595 a multiple of 22? False Is 99247180 a multiple of 498? False Is 109 a factor of 14296993? False Is 351348500 a multiple of 5? True Does 6098 divide 2840387420? True Does 972 divide 878551484? False Is 223 a factor of 1213868834? True Is 857363529 a multiple of 120? False Is 128229826 a multiple of 31? True Is 237 a factor of 875300597? False Is 648 a factor of 79529051? False Is 57 a factor of 3875489? False Does 1937 divide 26875875? True Is 68 a factor of 64422316? True Is 63831508 a multiple of 1683? False Is 17146502 a multiple of 4? False Is 31208188 a multiple of 11? True Is 3084 a factor of 157740032? False Does 1617 divide 290427338? False Is 60167843 a multiple of 38? False Is 3777204243 a multiple of 17? False Is 23505087 a multiple of 16? False Is 5421735605 a multiple of 211? False Is 3738055608 a multiple of 204? True Does 19 divide 90739417? False Does 256 divide 105878745? False Is 246334878 a multiple of 18? True Is 116 a factor of 6777648? True Does 14 divide 23591271? False Is 131 a factor of 1784898302? False Is 1019384657 a multiple of 457? True Does 22 divide 33192522? True Is 320 a factor of 182922074? False Does 83 divide 2263206152? True Is 759 a factor of 74550498? True Does 19 divide 271184960? False Is 37 a factor of 142198081? False Is 366815808 a multiple of 744? True Is 157 a factor of 20496583? False Does 73 divide 133688197? False Does 52 divide 11479365? False Is 664 a factor of 1150007028? False Does 19 divide 30264632? False Does 1757 divide 527127900? False Is 41172620 a multiple of 95? True Is 223 a factor of 296605268? False Is 4 a factor of 48934071? False Is 156 a factor of 1088939338? False Is 558168720 a multiple of 20? True Is 406 a factor of 51585548? True Does 63 divide 4178619144? True Is 747076561 a multiple of 324? False Is 27 a factor of 32991867? True Is 4270 a factor of 5988251? False Is 9 a factor of 76796010? True Is 1501 a factor of 174810995? False Does 270 divide 10173060? True Is 7705698 a multiple of 13? True Is 9620700 a multiple of 100? True Is 157859205 a multiple of 153? False Does 2899 divide 14652964? False Is 13 a factor of 49220981? False Does 15 divide 85326300? True Is 12 a factor of 16812770? False Is 271 a factor of 702516138? False Is 19264463 a multiple of 140? False Is 72915220 a multiple of 574? True Does 751 divide 10078949? False Is 310 a factor of 18702920? True Is 1553 a factor of 240444778? True Does 265 divide 80821303? False Is 570594991 a multiple of 157? True Is 189232669 a multiple of 15? False Is 981 a factor of 115302031? False Is 275 a factor of 23909600? True Is 2525 a factor of 21816000? True Is 802310784 a multiple of 12? True Is 407 a factor of 12778172? True Is 893 a factor of 7095169? False Is 94497429 a multiple of 70? False Is 37011754 a multiple of 85? False Is 166269780 a multiple of 36? True Is 24508956 a multiple of 1091? False Does 225 divide 20682928? False Does 75 divide 21245882? False Is 390 a factor of 56356170? True Is 4 a factor of 6329005? False Is 1763495076 a multiple of 762? True Is 11764 a factor of 1858379129? False Is 4 a factor of 164835484? True Is 68 a factor of 34096554? False Is 4 a factor of 382344? True Is 6284 a factor of 721239816? True Is 728 a factor of 10427144? True Is 49 a factor of 6653728? False Does 7 divide 21357595? True Is 29 a factor of 1393752151? True Is 58 a factor of 249623996? True Is 1128 a factor of 12825360? True Is 484901354 a multiple of 379? False Is 747 a factor of 49386480? False Is 303419088 a multiple of 42? True Is 42 a factor of 592736088? True
{ "pile_set_name": "DM Mathematics" }
*c. Let v(w) be the first derivative of x(w). Let a = 59 - 59. Calculate v(a). -4 Let q(f) be the first derivative of -1/2*f**2 - 2 - f. Let t = -77 - -74. What is q(t)? 2 Let u(b) = b**3 + 7*b**2 + 4*b - 6. Suppose 2*d + 4 = 3*d, 2*o + 3*d = 0. Give u(o). 6 Let z(l) be the third derivative of 2*l**2 - 1/6*l**3 + 0*l - 1/24*l**4 - 1/30*l**5 + 0 + 1/120*l**6. What is z(3)? 5 Let y(s) = 2*s + 3. Suppose 3*n + 40 = 4*x, 2*n + 3 + 5 = 0. Let b(c) = -c - 2. Let t(f) = x*b(f) + 3*y(f). Calculate t(0). -5 Let h(v) = 2*v - 4. Suppose 25 - 9 = 4*k. What is h(k)? 4 Suppose -87 = -5*t - 52. Let a(f) = f**2 - 6*f - 8. Determine a(t). -1 Suppose 0 = -3*c + j, j = 5*c + 1 + 1. Let i(v) = -8*v**3 + 2*v + 1. Calculate i(c). 7 Let k(w) = -8*w**2 + w - 1. Let b = 18 + -17. Give k(b). -8 Let y(c) be the first derivative of -c**2/2 + 3*c + 10. Determine y(-6). 9 Let o(u) = -u**3 + 3*u**2 - 3. Let r be (9 - 3)/((-3)/(-2)). Suppose -d + r*d = 9. Give o(d). -3 Suppose -4 + 1 = -f. Let r(a) = 0 + 0*a - f*a - 2 - 2. Give r(-4). 8 Let h(a) be the second derivative of -2*a**3/3 + a**2/2 + 9*a. Determine h(-1). 5 Let j(g) be the first derivative of -g**4/4 + 5*g**3/3 - g**2/2 + 6*g + 5. Determine j(5). 1 Suppose -4*o - 9 = -7*o. Suppose -n = -o*n - 6. Let w(c) = -2*c. Determine w(n). 6 Let m(x) be the first derivative of x**3/3 + 2*x**2 - 5*x + 1. Let n = -20 - -14. Determine m(n). 7 Let p(i) = 6*i**2 - 10*i. Let a(w) = w**2 - 2*w. Let s(x) = 11*a(x) - 2*p(x). Determine s(-4). -8 Suppose -5*n + 24 = f, -4*f + 11 = 4*n - 5. Let q(a) be the second derivative of 0 - 1/6*a**3 + 4*a**2 - a. Determine q(n). 3 Let r(v) = -v**3 + 11*v**2 + 11*v + 4. Let c be r(12). Let s(k) = k + 2. Calculate s(c). -6 Let l(p) = p. Let v(c) = -c - 1. Let y(s) = -6*l(s) - v(s). Let u = -690 + 691. What is y(u)? -4 Let g(z) = -5*z**2 - 3*z - 4. Let b(w) = -7*w**2 - 5*w - 6. Let h(l) = 3*b(l) - 4*g(l). Suppose 0 = -3*o + o - 6. Give h(o). -2 Let f(v) = -v**3 + 9*v**2 + 9*v + 10. Let i be f(10). Let a(p) = -3 - p**2 - 3 + i + 3. Calculate a(0). -3 Suppose 5*a = -5*l + 7 - 22, -a = -4*l + 23. Let g(p) = -p - 1. What is g(a)? 6 Let f(x) be the second derivative of 0 + 1/6*x**3 - x**2 + 1/12*x**4 + 3*x. What is f(-2)? 0 Suppose -9*b + 18 = -6*b. Let i(q) = 6*q - 6*q**2 + 0 - b + 5*q**2. Determine i(5). -1 Let t(d) = d**3 + 7*d**2 - d + 7. Let y = 123 + -130. What is t(y)? 14 Let r(d) = 4*d**2 - 4*d - 2. Let b(p) = 4*p**2 - 3*p - 2. Let t(i) = -4*b(i) + 3*r(i). Give t(3). -34 Let u(q) = 0 - 6*q + 1 - 2. Suppose -5*n - 20 = 4*d, 6*n - d + 20 = n. Let t = 3 + n. Calculate u(t). 5 Let n(t) = -2*t**2 - t + 2. Suppose 0 = 5*h - x - 14, 3*x = -5*h - x + 19. Let j be h/6 - 70/(-4). Suppose -3*q + o - 5 = -2*q, -3*q + 4*o - j = 0. Give n(q). -4 Let p(l) = l**2 + 5*l + 2. Suppose -13 + 1 = 3*j. Let i be p(j). Let t(u) = 5*u + 1. Calculate t(i). -9 Suppose -3*b = -5*t + 35, 6*b + 4*t + 9 = b. Let p(l) = -2*l - 5*l**2 + 2*l**3 + 4*l + 6 - 3*l**3. Determine p(b). -4 Let s(o) = -o + 3. Let t(w) = w**2 + 4*w. Let c(k) = -4*k**2 - 16*k. Let b(n) = -2*c(n) - 9*t(n). Let g be b(-5). Calculate s(g). 8 Let o(t) = t + 4. Let c(i) = 1. Let b(y) = 3*c(y) - o(y). What is b(-5)? 4 Let a = -6 + 12. Let k(d) be the first derivative of 5*d - 3 - 7/2*d**2 + 1/3*d**3. Give k(a). -1 Let o(t) be the first derivative of 2*t**3/3 - t**2/2 + 51. Give o(3). 15 Suppose -5*o = -8*o + 6. Let x(t) = 0 + 2 - t**o - 3. Determine x(-2). -5 Let s(f) = -24*f**2 + f + 1. Suppose -x - z = 1 + 3, 0 = -3*x + 3*z + 6. What is s(x)? -24 Let t(j) = j - 12. Let u be t(7). Suppose 0 = -2*i - 5*d - 9, 5*i - 19 = 3*d + 5. Let n(g) = -3*g - 2*g - 6*g**2 + 0*g - g**i. Calculate n(u). 0 Let j be (-16)/6 + 4/6. Let k(l) be the second derivative of -2/3*l**3 + 2*l - 1/10*l**5 - l**2 + 0 - 1/3*l**4. What is k(j)? 6 Let f(v) be the second derivative of -v**5/20 + v**4/12 + 3*v. Let q(j) = -5*j**3 + j**2 + 7. Let g be 5/7 + 2/7. Let y(b) = g*q(b) - 6*f(b). Give y(5). 7 Suppose -4*v - 2*y = -4, 5*v + 3*y = 3*v - 2. Let r(x) be the first derivative of 3*x**2 - 3*x**2 + v + x**2. Determine r(3). 6 Let u(d) = -1 + 4*d**2 + 5*d + 3 - 3*d**2. Suppose -4*b + 0*q = -2*q + 20, 0 = 4*b + 2*q + 4. Calculate u(b). -4 Let u(h) = -3*h - 3*h + 5*h + 2*h. Give u(-5). -5 Let h(t) = 5*t + t**3 + 1 + 7*t**2 - 2*t**2 + 2. Suppose 2 = u - 3. Suppose -22 = -b - u*c, -b + 4*c - 34 + 11 = 0. Give h(b). 6 Suppose -4*y - 36 + 0 = 0. Let a(v) = 5*v + 3. Let x(h) = -11*h - 7. Let k(j) = y*a(j) - 4*x(j). Suppose -3*g + 22 = 7. Calculate k(g). -4 Suppose -2*l - 5*p = -29, -5*p + 53 = 4*l - 0*l. Let n = l - 14. Let v(w) = 2*w**2 + 8*w + 2. Let m(i) = -i**2 - 4*i - 1. Let o(h) = 5*m(h) + 2*v(h). Give o(n). 3 Suppose 3*g = -2*g + 25. Let q(n) = 2*n. Calculate q(g). 10 Let l(y) = 15*y**3 - y**2 - y + 1. Let k be l(1). Let p = 19 - k. Let h(z) = -2*z - 2 + 1 + 2. Calculate h(p). -9 Let v be -2 + (2 - (0 + 0)). Let i(r) = -r + 2*r + 1 - 2. Calculate i(v). -1 Let x(i) = 3*i**2 - 3*i + 1. Let f(u) = -4*u**2 + 3*u - 1. Let h(k) = -2*f(k) - 3*x(k). Calculate h(3). -1 Let f(g) be the third derivative of g**8/2240 - g**7/1260 - g**6/360 + g**5/120 + g**4/8 + 2*g**2. Let l(x) be the second derivative of f(x). Give l(2). 13 Let r(k) be the second derivative of -k**4/12 + 2*k**3/3 - k**2 + 2*k. Suppose -23 = -2*h + 17. Suppose 3*a - h = -a. Determine r(a). -7 Let i(k) be the first derivative of k**3/3 - 4*k**2 + 6*k + 2. Let u(p) = p**3 - 3*p + 5. Let m be u(2). Give i(m). -1 Let y(d) = -d - 16. Suppose -4*h = -5*i + 58, 2 - 20 = h - 3*i. What is y(h)? -4 Let x(k) = k**2 + 5. Let y be x(0). Let v(h) = -h**2 - 16 + 2*h + y + 10. Determine v(-2). -9 Let k(c) = -c + 2. Suppose -4*s + l + 10 = 2*l, 4*s - 14 = l. Let n be s/1 - (-3)/(-1). Suppose 3*a = 3*t - 5 + 17, n = a + 3*t + 4. What is k(a)? 0 Suppose 11*v = 15*v - 8. Suppose -v*n + 13 = 19. Let i(f) = -f**3 - 6*f**2 - 5*f - 4. What is i(n)? -16 Suppose v = -3*v + 4. Let o = 5 - v. Let x(b) = -b + 3. Calculate x(o). -1 Let y(l) = -4*l + 3. Let z be y(3). Let k(p) = p + 7. Give k(z). -2 Let o(r) be the third derivative of r**6/120 + r**5/15 - 5*r**4/24 + r**3 - 2*r**2. What is o(-5)? 6 Suppose 0 = -2*h - 3*h - 10. Let p(s) = 3*s**2 - 1 + 2*s - 2*s**2 + 3. Calculate p(h). 2 Let y(i) = 8 - 4*i**2 + 2*i - 21 + 7 - i**3. Let b = -2 + -3. Determine y(b). 9 Let z = 0 + -1. Let c = z - 1. Let b(l) = -2*l - 4 - 4 + 0*l + 2*l**2 + 5. Give b(c). 9 Let i(k) be the third derivative of -k**5/60 - k**4/24 + k**3/2 - 5*k**2. Give i(0). 3 Let c = -16 + 21. Let y(v) = 7*v**2 + 5*v - 7. Let s(q) = -4*q**2 - 2*q + 3. Let x(d) = c*s(d) + 2*y(d). Give x(1). -5 Let n(q) = 4*q. Let l(d) = d**2 + 6*d + 2. Let j be l(-6). Let m(u) = -1 + 2 + 0 + 3*u + 0. Let p(v) = j*n(v) - 3*m(v). Give p(-4). 1 Let x(a) = 7*a - 353*a**2 + 4 - 3 + 352*a**2. Determine x(6). 7 Let p(w) = 4 + 1 + w - 4. What is p(6)? 7 Let q be (0 + 5)*3/(-5). Let h(f) = f**2 + f + 4. Give h(q). 10 Let n = 26 + -12. Suppose -x = c + 2, -3*c + c = -3*x + n. Let v(d) be the second derivative of -d**3/6 - d**2/2 + d. Calculate v(x). -3 Let z(c) = c + 1. Let o be z(3). Let i be (12/(-9))/(4/(-6)). Let w(j) = -j**3 + 4 - 5*j + 2*j + 3*j + 2*j + 3*j**i. What is w(o)? -4 Let a be 1/(2 - (-9)/(-6)). Let d(s) = s**2 + 4*s**a + s**3 + 2 - 2. Give d(-5). 0 Let y(k) = k**3 - 5*k**2 - 5. Let j be y(5). Let b(t) = 6*t**3 - 7*t**2 + 3*t - 2 - 5*t**3 + t + 13*t**2. Calculate b(j). 3 Let m(u) = -3*u - 29. Let f be m(-12). Let w(b) = b - 4. Give w(f). 3 Let t(l) be the first derivative of -3*l**2/2 + l + 59. What is t(3)? -8 Let g(o) = -7*o**2 + 5*o + 12. Let q(s) = -6*s**2 + 4*s + 11. Let z = 0 - -6. Let j(l) = z*q(l) - 5*g(l). What is j(0)? 6 Let m(a) = a**2 - 3*a - 2. Let i = 7 - 4. Determine m(i). -2 Suppose -4*h + g + 2 = 3, g + 7 = -4*h. Let o = -1 - h. Suppose -19 = 4*n + c, n + c + 1 + 6 = o. Let q(y) = y**3 + 4*y**2 - y - 5. Give q(n). -1 Let l = -9 + 21. Suppose 5*c = -3*g - l, -2*g - 1 = c - 0*c. Let y(j) = -5*j. Determine y(g). -5 Let z(o) = o**3 + 2*o**2 - 5*o + 2. Suppose 31 - 47 = 4*b. Determine z(b). -10 Let h = 110 + -112. Let n(j) = j**2 - j - 1. Calculate n(h). 5 Let b(r) = -8*r + 4. Let y(o) = -2*o + 1. Let s(g) = -2*b(g) + 9*y(g). Give s(-3). 7 Let l(r) = 2*r + 2. Let t be 42/5 - 24/(-40). Suppose -2*n = 4*g + 3*
{ "pile_set_name": "DM Mathematics" }
a multiple of 14? True Let r(m) = m**2 - 14*m + 2. Let h be r(11). Let v = -13 - h. Is 2 a factor of v? True Suppose 0*d = d + 44. Let l = d + 92. Is 6 a factor of l? True Let k(c) = -15*c + 36*c + 5*c - 72. Is 12 a factor of k(6)? True Let x(f) = -3*f - 4. Let b be x(-2). Let v(q) = 3*q**2 + 2*q - 5. Is 11 a factor of v(b)? True Suppose 3*z + 2*k - 319 = 0, -k + 417 = -z + 5*z. Is 8 a factor of z? False Let p = -151 + 178. Is 9 a factor of p? True Suppose -3*i = -4*i + 192. Is i a multiple of 24? True Let a(o) = -5*o**3 - 21*o**2 - 11*o + 29. Is 56 a factor of a(-9)? True Let d = -135 + 828. Is 63 a factor of d? True Let k(n) = 3*n**2 + 5*n - 6. Let u be (-84)/(-18) - 4/6. Is 15 a factor of k(u)? False Suppose 0 = 2*g - 7 - 3. Let x(z) = z**2 - 6*z + 7. Let f be x(g). Suppose -3*y = f*h - 55, -h + 37 = -5*y - 10. Does 8 divide h? True Let b = 71 + -65. Is (((-3)/b)/(-1))/(4/1384) a multiple of 10? False Let x be ((-6)/8)/(4/((-192)/6)). Suppose -2*f = x - 4, -3*q = -5*f - 437. Does 26 divide q? False Let h = 0 - -5. Let r = h + -3. Is r/4*(65 - 3) a multiple of 7? False Let v = 1132 + -832. Is v a multiple of 10? True Let t = 303 + -199. Is 35 a factor of t? False Let x(b) = -b + 32. Let k be x(23). Let q(n) = 46*n - 1. Let o be q(4). Is 14 a factor of (12/k + -1)*o? False Is 20 a factor of 11424/288 + (-1)/(-3)*1? True Let d = -46 - -53. Is (10 - 8)*d/1 + -1 a multiple of 11? False Let j(b) = -21*b**3 + 2*b**2 + b. Let y be j(1). Let n = 26 + y. Is n a multiple of 5? False Let z(p) = 215*p - 18. Let c be z(9). Suppose -f + 5*o = 3*f - 1521, 0 = -5*f + o + c. Does 16 divide f/21 + (-4)/14? False Suppose -h = 547 - 849. Is h a multiple of 9? False Let k(m) = -4*m**3 - m**2 - 2*m - 5. Let i(c) = 11*c**3 + 3*c**2 + 6*c + 14. Let f(d) = -3*i(d) - 8*k(d). Let g = -1 + -2. Does 17 divide f(g)? False Suppose -4*t = -3*m + 91 + 147, 4*t = -5*m + 386. Suppose o + 0*q = -4*q + 39, -5*q = -2*o + m. Is o a multiple of 13? True Suppose 4*c - 968 = -164. Is c a multiple of 13? False Let c be 15 + 3*(4 - 5). Suppose -c*p + 14*p - 130 = 0. Is 30 a factor of p? False Let z be (-105)/14*8/3. Let n be z/(-6)*(-18)/(-12). Suppose n*g - 45 = -0*g. Is 4 a factor of g? False Suppose -19*f + 15*f = -12. Suppose 506 = 4*q + 2*k, f*k + k + 20 = 0. Is q a multiple of 43? True Suppose -93 = -2*w + w. Let m = w - 27. Suppose 5*t + 4*f = m - 18, 3*f = 4*t - 26. Does 7 divide t? False Let a(x) = x**2 + 4*x + 6. Let d be a(-6). Let f be (-4)/(-1) + -7 + d. Suppose 3*h = -2*j + f + 22, 4*h - 4*j = 36. Does 5 divide h? False Suppose -8 = 2*b + 6. Let x(o) = -5*o**3 - o**2 + 1. Let d(s) = -3*s**3 + 1. Let g(i) = b*d(i) + 4*x(i). Is g(5) a multiple of 10? False Let z(q) = 2*q**2 + 12*q + 17. Is 23 a factor of z(8)? False Suppose j = -3*j + 8. Suppose -3*r + 1 + j = -4*b, -2*r - 4*b + 22 = 0. Suppose f - 3*f = 4*i - 196, r*i = 2*f + 254. Does 25 divide i? True Let j(d) = d. Let a(v) = 10*v + 1. Let c(m) = a(m) + 5*j(m). Let s be c(3). Suppose 4*o = -g - o + s, 4*g - 148 = -2*o. Is 9 a factor of g? True Let h(v) = -v**3 + 9*v**2 - 5*v + 6. Let q(g) = g**3 - 5*g**2 - 5*g + 2. Let f be q(6). Let x be h(f). Suppose -x = -5*i + 165. Is i a multiple of 13? True Let w(o) = o**2 - 30*o + 66. Let d be w(12). Let a = d - -219. Is a a multiple of 23? True Suppose -v = -2*h - 2, 0 = -2*v - 0*v + 2*h + 6. Is (-4)/(-2)*26/v a multiple of 6? False Let c = 1948 - 958. Is c a multiple of 66? True Does 9 divide (-38)/57 - 4108/(-6)? True Let x(n) = n. Let a be x(5). Suppose 0*q + j + 33 = q, j - 159 = -a*q. Does 15 divide q? False Let t(n) = 2*n**2 - 7*n + 1. Suppose -h = -3*a + 4 + 7, h = -a + 9. Let q = -7 + h. Does 10 divide t(q)? True Let n be 12/(-30) - 567/(-5). Let o = n - 49. Does 16 divide o? True Let c(x) be the first derivative of -3/4*x**4 - 2*x + 13 + x**3 + 1/2*x**2. Is 32 a factor of c(-2)? True Does 7 divide 45/(17/357*(0 + 3))? True Let s = 59 + -19. Let c = s - 28. Is c a multiple of 3? True Let x(y) = -y**2 - 4*y + 7. Let h be x(-5). Let p(j) = -6 + h*j + 0 - 6*j + 2*j**2. Does 8 divide p(5)? True Let f(z) = -8*z**3 + z**2 + 9*z - 28. Is 4 a factor of f(-5)? True Let m(y) = 2*y - 4. Let s(h) = -h + 8. Let p be s(6). Let i be m(p). Suppose i = -g + 28 + 12. Is g a multiple of 10? True Let o = -30 - -153. Is o a multiple of 41? True Let g(f) = 7*f + 5. Let j be g(-1). Does 23 divide (5 + -28)*(j - -1)? True Let y(r) = 10*r + 22. Let v be y(-13). Let k = v - -243. Is 27 a factor of k? True Is 230*-6*3/(-45) a multiple of 3? False Suppose -i + 0*d + 54 = -3*d, 2*d = -2*i + 140. Does 22 divide i? True Suppose 14*s - 15*s = -5. Suppose -4*m + s*i + 649 = 0, i = -m - 4*i + 131. Is m a multiple of 39? True Let n(x) = 2*x**2 + 9*x + 15. Is n(-5) a multiple of 3? False Let d(r) = -6*r**2 + 4 + 8*r**2 + 4*r**2. Is 40 a factor of d(3)? False Let p = -1696 - -2872. Does 12 divide p? True Suppose 26 = 7*x + 6*x. Suppose 5*u + 3*v = -v + 53, 2*u + x*v - 20 = 0. Does 2 divide u? False Let n be -7 + 10 - (1 - 4). Suppose -4*x + 9 = -q, 3*q - q = 4*x - n. Suppose -x*h = -308 + 44. Is 22 a factor of h? True Suppose 116*j - 39699 - 287421 = 0. Does 99 divide j? False Suppose 0 = -33*w - 2*w + 5320. Is 76 a factor of w? True Let i(r) = 11*r. Let q be i(4). Let p be 296/10*40/16. Let u = p - q. Does 10 divide u? True Let q(y) = y**2 + 10*y + 5. Let w be q(-11). Let j(c) = c**2 - 15*c + 1. Does 6 divide j(w)? False Suppose -10*m + 7*m = -12. Suppose 5*h + 1 = a, 69 = 3*a + m*h - 10. Is a a multiple of 3? True Suppose 30 = 4*c + 6. Let y(n) = -n**3 + 7*n**2 - n - 7. Is y(c) a multiple of 18? False Let i be ((-12)/(-14))/((-52)/(-91))*-2. Is 39 a factor of i/2*2 + 198/1? True Let p(a) = -a**2 - 3*a + 5. Let z be p(-4). Suppose 0 = -w - z + 6. Is (0 - -2)/(w/90) a multiple of 12? True Let j(v) be the third derivative of -v**5/60 - 19*v**4/24 + 5*v**3/6 + 2*v**2. Does 9 divide j(-17)? False Let n = 613 + -349. Is n a multiple of 22? True Let q = 503 - 157. Does 12 divide q? False Let m = -9 + 14. Suppose 0 = 3*z + 3*j + 9, 3*j = -m*z + 2*j - 19. Is 7 a factor of 38 - z/12*0? False Suppose -12 = -3*c, -t - 5*c = -1877 - 1128. Is t a multiple of 15? True Let r(y) = -71*y + 123. Is 75 a factor of r(-12)? True Let x be 3*4/30*-35. Let o(b) = b**2 + 13*b + 3. Is 17 a factor of o(x)? True Suppose -2*q = -3*q. Suppose -v = 5*i - 33, q = -v - 2*i + 4 + 17. Does 13 divide v? True Suppose -2*w + 4*d + 16 = 0, 0*d = 2*w - 3*d - 14. Suppose 0 = -7*f + 2*f + o + 124, -5*o = f - w. Is f a multiple of 4? True Let y(j) = j + 6. Let b be y(-5). Let w(m) = -42*m + 1. Let o be w(b). Let h = o + 62. Is 21 a factor of h? True Let w be 3 + -3 + (-2)/1. Let z(s) = 7*s**2. Does 14 divide z(w)? True Let q = -205 + 341. Suppose q = 2*w - 3*v, 2*w + 0*v - 132 = v. Is 15 a factor of w? False Suppose 5*f = f + 656. Let t = 317 - f. Suppose 3*r - t = d + 2*d, 0 = -4*r - d + 229. Is r a multiple of 28? True Let f = 4 - 13. Let q = 171 - 122. Let l = f + q. Is l a multiple of 11? False Let o(v) = -5*v**2 + 1. Let d be o(1). Is (d/(-5))/((-1)/(-35)) a multiple of 23? False Suppose 1289 = s - 731. Does 10 divide s? True Suppose 36*t - c = 35*t + 1898, -2*t + 3804 = 2*c. Does 19 divide t? True Suppose 1592 = 4*t - 2*u, 14*t + 1196 = 17*t - 2*u. Is 33 a factor of t? True Suppose 3*y - v = 4*v + 531, 5*v = 5*y - 895. Let a = -106 + y. Is a a multiple of 41? False Suppose -4*z - 213 = -z. Let i = z + 104. Let c = i - 8. Does 6 divide c? False Let l(v) = 4*v - 9. Let r be l(-5). Let x = r + 34. Suppose 0 = 2*g - 4*m - 8, -2*g - x*m + 0*m = -26. Is 4 a factor of g? True Let z = -490 + 1654. Suppose 0 = 3*y - 114 - z. Suppose 5*o - y = -4*v, 0 = -v - v - 5*o + 218. Does 23 divide v? False Is 60/25*-38*(-20)/6 a multiple of 19? True Is 7 a factor of ((9870/4)/15)/(1/14)? True Suppose -5*l - 1102 = -4*d, 2*d + d - 821 = l. Is 21 a factor of d? True Let l(q) = 50*q**2 - 15*q + 3. Is l(5) a multiple of 38? True Is 2/(-18) + 1592/72*55 a multiple of 26? False Suppose -3*h + 246 = 3*p, -4*p - 7*h + 2*h = -331. Suppose -39 - p = -2*g. Is g a multiple of 6? False Let w(d) = d**2 + 10*d + 15. Let k be w(-7). Let j be (k/(-4))/(4/8). Is 24 a factor of ((-108)/2)/(2 - j)? False Let w(z) = -51*z - 155. Is 14 a factor of w(-13)? False Does 63 divide (
{ "pile_set_name": "DM Mathematics" }
c Which is the nearest to -0.1? (a) -3 (b) -5 (c) -4 (d) -15 a What is the nearest to 6 in -2, 4, 1.7? 4 Which is the closest to 1? (a) 0.2 (b) 7 (c) -4 (d) -3 a Which is the nearest to -246? (a) 0.3 (b) -5 (c) -2 b What is the closest to 0.03 in -5/4, -0.1, 0.5, -0.3? -0.1 What is the closest to -0.1 in -1, 0.181, -4? 0.181 What is the closest to -2 in 4, -2/7, -0.1, 0.35? -2/7 What is the closest to 291 in -0.5, 0.2, -5? 0.2 What is the nearest to 0 in -0.3, 3/2, 3, 1/3? -0.3 What is the nearest to -758 in 1, 2/3, -2/3? -2/3 Which is the closest to -20? (a) -0.4 (b) 0 (c) 1 a What is the nearest to 1 in -1/2, 1/39, -0.4, 0.3? 0.3 What is the nearest to 77 in -0.3, -4, 2/3? 2/3 What is the closest to -1/2 in -4, 5/4, -3? 5/4 What is the nearest to -1/2088 in -0.1, 5/3, 0.1? -0.1 Which is the closest to 2/7? (a) -5 (b) 4 (c) 0.5 (d) -2 c What is the closest to -1 in 29.3, -4, -0.2? -0.2 Which is the closest to -0.2? (a) -0.1 (b) -307 (c) -5 a Which is the closest to -2/3? (a) 1/4 (b) -1/4 (c) 5 b What is the nearest to -68 in 2/5, -2, -4? -4 Which is the closest to 0.1? (a) -15 (b) 0.25 (c) -4 b What is the closest to 0 in -0.08, -0.4, -12? -0.08 What is the nearest to -0.1 in 67, 3, -0.5, 1/2? -0.5 What is the nearest to -1 in -0.5, -0.4, 0.1? -0.5 What is the nearest to 3 in -2, 3, -0.66? 3 What is the nearest to 5/2 in 2/15, -7, -1/4, -0.5? 2/15 What is the closest to 0 in 2/7, 0.4, 2, -7? 2/7 Which is the nearest to -0.4? (a) 4 (b) -4/11 (c) -3/2 b Which is the closest to 1/5? (a) 17 (b) -3/7 (c) 0.3 c Which is the closest to 0.1? (a) -3 (b) 337 (c) -2/7 (d) 2/3 c What is the nearest to 8 in -5/3, 0.09, -2, -0.4? 0.09 What is the nearest to -1 in -9, 5, 3/2, 2/507? 2/507 Which is the closest to 10? (a) 0.2 (b) -0.85 (c) 3 c What is the nearest to -35 in -1, 0.5, -0.5? -1 What is the closest to -0.1 in 4, 88, 2? 2 What is the closest to -2/7 in -3/2, 0.5, -3, 11/5? 0.5 What is the closest to 2 in 1, -4/3, 0, -3? 1 What is the closest to 3 in -0.5, -0.1, 3? 3 What is the closest to 2 in 5/7, 2/15, 0.5? 5/7 Which is the nearest to -1/2? (a) -1 (b) -3/4 (c) -5/4 (d) 28 b What is the closest to -1 in -3/7, -1, -1/6, -167/3? -1 Which is the nearest to -0.1? (a) 1 (b) 6 (c) -1/3 c Which is the closest to 0.2? (a) 0 (b) 7 (c) 5 (d) -1 a What is the closest to 547 in -1, -2, 0.5? 0.5 What is the closest to -0.8 in 0, -0.3, 1/6? -0.3 What is the closest to 1/9 in -3/4, -25, 3? -3/4 What is the closest to 0 in -0.8, 4, 0.2, 2? 0.2 Which is the closest to 3/22? (a) 4 (b) -1 (c) 18 b Which is the closest to 4? (a) 5 (b) -0.2 (c) 2 (d) 0.02 a Which is the closest to 0? (a) -33/7 (b) 0.5 (c) 4 (d) -2/29 d What is the closest to 5/6 in 0.05, -4, -19, -0.3? 0.05 Which is the closest to -0.51? (a) 1 (b) 3 (c) 5 a Which is the closest to -17/4? (a) 3/11 (b) 2/3 (c) -2/5 c Which is the nearest to 223? (a) 2/7 (b) -4 (c) -0.4 a What is the nearest to 1 in -2.05, 0.1, 2/13? 2/13 Which is the nearest to 2? (a) 0.6 (b) -2 (c) 5 (d) 2/5 a Which is the closest to -1? (a) 4 (b) 0.06 (c) 5 (d) 127 b Which is the closest to 3/98? (a) -2/5 (b) -2/13 (c) -1/6 (d) 3 b What is the closest to -0.2 in 16, 3/5, -3/2? 3/5 What is the nearest to 0 in 3, -0.06, -2/9? -0.06 What is the closest to 3 in 0.1, 1/2, 0.3, -2/3? 1/2 Which is the nearest to -3/4? (a) -0.06 (b) 1/7 (c) 1 a Which is the closest to 0.2? (a) -4/9 (b) 3 (c) -3 (d) -2/11 d What is the nearest to -34 in -1, -0.4, 0? -1 What is the nearest to -1 in -13.17, -2/17, 3? -2/17 Which is the nearest to 1/6? (a) 0.3 (b) -5 (c) -0.3 (d) -6 a Which is the closest to 2/3? (a) 4 (b) -0.5 (c) -1/36 c Which is the closest to -2/7? (a) -1 (b) 0.4 (c) -0.02 (d) 298 c Which is the closest to 0.8? (a) -0.3 (b) 1 (c) 2 (d) -2/3 b Which is the closest to 0.2? (a) -0.02 (b) -2/5 (c) -4 (d) -2 a Which is the nearest to 3? (a) -2/7 (b) -0.4 (c) -5/2 (d) -0.5 a What is the nearest to 5 in -1/3, 8, 9? 8 Which is the closest to -2/3? (a) 3/4 (b) -5 (c) 0 (d) -2 c What is the nearest to 0.1 in 15, 30, 2/13? 2/13 What is the closest to -2/3 in -0.541, 5, -1? -0.541 What is the closest to -1 in -0.4, -2, -13? -0.4 Which is the nearest to -7? (a) -3 (b) -16 (c) -8 c Which is the nearest to 28? (a) 5 (b) 3/5 (c) -6 (d) 1/4 a What is the closest to 1.1 in -4, 4/9, 0.032? 4/9 What is the nearest to 1/4 in 2, -0.002, -0.2? -0.002 Which is the nearest to -0.3? (a) -10 (b) -1/7 (c) 1/6 b Which is the closest to 0.6? (a) -1 (b) 15 (c) 5 (d) -2 a Which is the closest to -0.03? (a) 0.4 (b) -4 (c) 0 (d) 26 c Which is the closest to 20.94? (a) 1 (b) -0.2 (c) 0.5 (d) -0.4 a What is the nearest to 0.2 in -1/50, -1, 0.08? 0.08 What is the nearest to -0.75 in -3/4, -0.1, -2? -3/4 Which is the nearest to 1? (a) -4.8 (b) -0.4 (c) 1/117 (d) -2/7 c What is the nearest to -4/5 in -0.2, -2/17, -1, 0.1? -1 What is the closest to 0 in 0.4, -11, 2? 0.4 What is the closest to -1/3 in -4, 8/5, 1/2? 1/2 Which is the closest to 3? (a) 3 (b) -15 (c) 2 a Which is the closest to -1? (a) 3 (b) 4/9 (c) 0.0113 c What is the nearest to 0 in -34, -1/5, -58? -1/5 Which is the closest to 0? (a) 698 (b) 3/7 (c) 2 b What is the nearest to 6 in -1/9, -0.3, 3? 3 What is the nearest to 0.0255 in 2, 2/9, -3? 2/9 What is the closest to 1 in 2, 3, -2? 2 What is the nearest to 0.128 in 2/25, 4, 2/5, 0.5? 2/25 Which is the nearest to 1? (a) -1/2 (b) 1/4 (c) 870 b What is the closest to 0.1 in -0.4, -1/4, 4, 4/9? 4/9 What is the closest to -138 in -1/2, 0, -3, -0.01? -3 Which is the closest to 3/5? (a) 0.3 (b) 4 (c) 0.1 a Which is the closest to 0.1? (a) 8/11 (b) -0.4 (c) -1/4 c What is the closest to 0.1 in -0.4, 14, -0.04, 1/4? -0.04 Which is the nearest to 0? (a) 0 (b) 0.055 (c) 2 (d) 2/11 a What is the nearest to 0.1 in -0.5, -3, -17? -0.5 Which is the closest to 12? (a) 2/9 (b) -0.5 (c) -0.9 a Which is the nearest to -1? (a) 6 (b) 0 (c) -0.4 (d) -0.07 c What is the closest to -5 in 1, 0.5, -2/15, -6/71? -2/15 Which is the nearest to -1/3? (a) -5 (b) 0.4 (c) -4/5 (d) 94 c What is the closest to -4 in -5, 2/17, 0, 0.4? -5 What is the nearest to -0.2 in 4, -75/7, 2? 2 What is the nearest to 0.2 in 0.08, 0.2, -1/12, -10/3? 0.2 What is the closest to -0.12 in -9.8, 1/5, 2? 1/5 What is the closest to -10 in 0.08, -2/3, 2/21, -4? -4 Which is the nearest to 9/5? (a) -2 (b) 3 (c) 12 (d) 0.5 b What is the closest to 1/2 in 3, -0.08, -0.05, 0.1? 0.1 Which is the nearest to -0.4? (a) 1 (b) -5 (c) -1.9 (d) -0.5 d What is the closest to -1/3 in -0.28, 3/2, 1/5, -1? -0.28 What is the nearest to 3/5 in 0.05, -5, -6? 0.05 Which is the closest to -1/3? (a) -2 (b) 0.394 (c) 0.2 c What is the nearest to 73/14 in -3, 0, 3? 3 What is the closest to -9/17 in -2/3, 3/7, -3, 0.1? -2/3 Which is the closest to 0.02? (a) 0.7 (b) 0.3 (c) 0.5 (d) -0.3 b What is the closest to 0 in 1/4, -2/37, -1? -2/37 Which is the closest to 2/3? (a) -0.45 (b) -3 (c) -0.5 (d) 2/9 d Which is the closest to 1/7? (a) -3 (b) -2/3 (c) 0.4 c Which is the closest to 0.1? (a) 71 (b) -7 (c) 0 c What is the closest to 2 in 1/76, -1/4, 3? 3 Which is the closest to -0.02? (a) 2/23 (b) -0.1 (c) 0.2 (d) 2 b What is the closest to 2 in -154, -2/3, -5/2? -2/3 Which is the nearest to -54? (a) -3/4 (b) -1 (c) 1 b What is the nearest to 1/5 in -2/7, -4, 10/3, -0.5? -2/7 What is the nearest to -2/7 in -3, 4/7, -18? 4/7 Which is the nearest to 0.2? (a) -1 (b) 12 (c) -82 a What is the closest to 5/6 in -0.1, -1/7, -2/13, -6? -0.1 Which is the nearest to 0? (a) -2 (b) -0.5 (c) 5 (d) 169 b Which is the nearest to 0? (a) 2 (b) -0.2 (c) -1/3 (d) -3 b What is the closest to 0 in 2/9, 24, 0, 2? 0 Which is the nearest to -5? (a) 0.5 (b) -53 (c) 0.3 (d) 3 c What is the nearest to -1/27 in 4, -1/591, -4? -1/591 What is the closest to 1 in 1/13, -0.4, 2/3, 2? 2/3 What is the closest to 0.2 in 2, -1, -2/7? -2/7 What is the nearest to -4 in -0.06, -1.5, 2? -1.5 What is the nearest to 0.1 in 0, 2/5, 62? 0 What is the nearest to 1 in -0.1, -0.3, 41? -0.1 Which is the nearest to -5? (a) -4 (b) -1/9 (c) -40 (d) -5 d Which is the closest
{ "pile_set_name": "DM Mathematics" }
47*z + 143*z = -n for z. 2 Let j = 5 - 3. Suppose -r = -5 + j. Suppose 2*u - 7 - r = -5*q, -3*u + 2*q - 4 = 0. Solve -3*v + 8 - 2 = u for v. 2 Suppose -5*n = -4*z + 10, 0 = z + 2*n + n - 11. Suppose -4*w = -5*a, z*a + 8 = 2*a + 4*w. Let v be -13*(-3)/(6/a). Solve 0 = -4*o + 6 - v for o. -5 Suppose -3*n = -4*t + 7, -2 = -2*n + t - 0*t. Let u be (-1)/(-3) + 2/n. Solve 4 = -r + u for r. -3 Suppose -5*m + 16 = -2*p, 4*m + 3*p + 0 + 1 = 0. Suppose 16*x - 18*x + 12 = 0. Solve j = m - x for j. -4 Let f be (-4)/(9/(135/6)). Let r = -9 - f. Let y be -6*(r - (-11)/(-3)). Solve -3*o = -4 + y for o. -4 Suppose -138 = -4*a - 126. Solve -a*v = -7*v - 20 for v. -5 Let m = -78 + 30. Let u be -3*(-4)/m*-20. Solve 0*b = u*b + 10 for b. -2 Let j(f) be the second derivative of -f**5/20 - 5*f**4/12 - f**3/6 + f**2 + 2*f. Let a be j(-5). Solve o + a - 3 = 0 for o. -4 Suppose -12 = 4*s + 16. Let b be (-384)/(-112) - 4/s. Solve 0 = -0*i + i - b for i. 4 Let v(k) = -63*k. Let a be v(0). Solve -10*x + 30 = -a for x. 3 Suppose -2*x + x = -5*t + 41, -t = 2*x - 6. Suppose -4 - t = -j. Solve z + j = 4*z for z. 4 Let y(c) = -8*c - 3. Let a be y(-3). Suppose -2*j - a + 7 = 0. Let q(w) = -2*w + 1. Let z be q(j). Solve z = 2*u + u for u. 5 Let d be 8 - (4 + 2 - 3). Suppose 0 = s + 5, -2*b + 40 = 3*b - 4*s. Solve -b*w = -3*w + d for w. -5 Let d = -29 - -34. Suppose a - 12 + 3 = -2*b, 0 = d*a - 3*b + 7. Solve -h + 6 = a for h. 5 Let z = 8 + -11. Let q be (-3 - 0)*6/z. Suppose 2*u + q = 4*w - 6, 4*u + 2*w - 6 = 0. Solve -2*n - 2*n = u for n. 0 Suppose -3*y = -2*q - 310, 5*y + 5*q = -0*y + 525. Let p be (2/(-2))/(8/y). Let v = -9 - p. Solve -j = v*j for j. 0 Suppose j = -280*p + 282*p - 117, 0 = 3*p - 2*j - 177. Solve h - 58 = -p for h. 1 Let j = 677 + -671. Solve 0 = j*z - 12 + 6 for z. 1 Let v be 6 - (9 - 0)/3. Let j = -286 + 160. Let l be j/(-45) - 4/5. Solve -v*c = l*c for c. 0 Let n be (-1 + 66)*(-4)/(-20). Let j = n - 8. Suppose -l + 2 = 4*d + 8, l = -j*d - 9. Solve -3*c - l = -0*c for c. -2 Let g be 72/(-40)*(-10)/6. Suppose 0 = -6*a + 3*a + 15, g*u + a = 11. Solve -t - u = 1 for t. -3 Let k be (-27)/(-15) + 2/10. Solve -k*n - 1 = -n for n. -1 Let i(n) = -n**3 - n**2 - 2. Let g be i(-3). Suppose 0*k = -2*k + g. Solve j + j = -k for j. -4 Let v(n) = 2*n**3 + 2*n**2 - n - 2. Let p be v(2). Solve -5*l + p = -0*l for l. 4 Suppose -4*v - 3*x + 18 = 0, -5*v - 4*x = -3*v - 14. Solve -v*s - 4 = 11 for s. -5 Suppose n - 3*q = 0, -4*n - 3*q - q = 0. Suppose b - 3*s + 9 = n, 6 = 2*b - 0*s + 2*s. Solve 3*v + 4 - 1 = b for v. -1 Let d = 102 + -98. Solve -d*a - 2 = 14 for a. -4 Let t = 1407 + -1236. Solve -d - t = -167 for d. -4 Suppose -3*d = -4*d + 5. Suppose -s = 2*s + 2*h - 2, 0 = -s - 5*h + d. Solve -c - 3 + 1 = s for c. -2 Suppose 2*l - 5*r - 321 = 0, 3*l - r + 0*r - 501 = 0. Suppose 4*m - 8*m = -l. Let v be m/28 - 2/(-4). Solve -2 = -2*t + v for t. 2 Let v(n) = n**3 + n**2 - n + 2. Let d(x) = x**3 - 5*x**2 - 2. Let f be d(5). Let z be v(f). Solve z = -5*c + 37 - 12 for c. 5 Let m = -1042 - -1048. Let l be (-2)/(-5) - 52/(-20). Solve m*j - l = 3*j for j. 1 Suppose 0 = 8*i - 3*i. Suppose i = -y + 4 + 8. Let p(j) = -j**3 - 10*j**2 - 8*j + 12. Let s be p(-9). Solve 3*o + y = -s for o. -5 Let f be 1*(3 - 2) + 3. Suppose f*u - 60 = -0*u. Solve 4*y - u = -y for y. 3 Suppose -18*r + 25*r = 0. Solve -7*i - 21 + 0 = r for i. -3 Suppose -12 = 4*v, 0 = -0*s + 2*s + 4*v + 10. Suppose 2*r + 4*f = 18, 2*f - s - 3 = 0. Suppose 3*b - 32 = -r*b. Solve -o = -b*o for o. 0 Let v be -2 - (-7 + (-14 - 5)). Solve 5*c - v = -4 for c. 4 Suppose 4*d = -t + 2, -4*d - 4*t - 2 = 2. Let l(c) be the second derivative of c**5/10 + c**4/12 - c**3/6 + 3*c + 4. Let n be l(d). Solve -n*s + 3 = s for s. 1 Suppose -4*q + 442 = 5*z, -q - q + 222 = 3*z. Suppose 0 = 111*w - q*w - 12. Solve 5*s - w = 7*s for s. -2 Let f(h) = -7*h**2 - 9*h - 17. Let n be f(-4). Let z = n + 97. Solve -1 = z*w - 5 for w. 1 Let g(n) = -10 + 16*n**2 - 31*n**2 + 17*n**2 - 24*n. Let b be g(13). Solve -2*a + b = 6 for a. 5 Let b = -6 + 5. Let w be 2 - (3 + -2 - b). Suppose w = 4*l - 3 - 9. Solve -5*u + 28 = l for u. 5 Suppose 4*s = -k + 20, 20 = 6*k - 2*k + s. Solve k = 5*f - 11 for f. 3 Suppose 0 = 3*o - 3*l + 9, 4*o - 6 = -3*l + 3. Suppose o = 4*k - 2*r, 5*k = -5*r + r + 26. Solve 0 = c - k for c. 2 Let q = -84 - -86. Let g be (-11)/(55/(-10))*3/q. Solve 0 = -g*u - 2 + 5 for u. 1 Suppose -3*a + 12 = 0, -d + 8 = 3*d - a. Suppose 3*t + d*z = 17 - 5, 3*t = 5*z + 4. Solve t = 4*y + 7 for y. -1 Let c = 7 + -3. Let o(h) = -h - 4. Let d be o(c). Let t(b) = b**3 + 9*b**2 + 9*b + 8. Let n be t(d). Solve 6 = 2*v - n*v for v. 3 Let u = 11 + -11. Suppose -5*g + 2*o = -21, 12 = 2*g - 0*g - 2*o. Solve -4*h + 7*h - g = u for h. 1 Let l = -6 + 8. Suppose -350 = -0*m - 5*m. Let w = -67 + m. Solve l = o - w for o. 5 Let i be (5/(45/(-6)))/(24/(-504)). Solve p + i = 11 for p. -3 Suppose -8 = -2*a + 6. Suppose 0*n - n + a = 0. Let z be ((-1)/(-1))/((-1)/(-3)). Solve z*h = 8 + n for h. 5 Suppose 6 = -2*d - 42. Let q be d + 2 + -1 + -1. Let p be (q/(-15))/(8/20). Solve -20 = -0*v - p*v for v. 5 Suppose b + 1 = -5*z, -3*b + 4*z = -z - 17. Let i = 178 + -172. Solve b*t - 2 = -i for t. -1 Let u = -262 - -141. Let d = 131 + u. Solve 0 = 2*n - 0*n - d for n. 5 Let l = -4 - -4. Let n(p) = 0*p**2 + 9 + p**3 - p + 0*p**3 - 12*p**2 + 5*p**2. Let c be n(7). Solve l = -2*f + 6 - c for f. 2 Let j(h) = 2*h**3 - 38*h**2 - 85*h + 29. Let c be j(21). Solve -15*i + c*i = 35 for i. -5 Suppose 0 = -2*z - 4 - 4. Let r be z/(-1) - (0 + -1). Let j(x) = -x**2 + 3*x + 3. Let t be j(3). Solve -t*c - r = 4 for c. -3 Suppose 2*o = 4*u + 26, 27 = -2*u - 3*u - 3*o. Let z(r) = -r**3 + 9*r**2 - 2*r + 2. Let q be z(9). Let n be q/4*u/4. Solve -t + n = t for t. 3 Let c = -368 + 374. Solve c*d + 2 = 8 for d. 1 Suppose -3*w + 2*p + 0 + 9 = 0, 0 = 4*w + 2*p - 26. Suppose w*s = 4*s + 3. Suppose 5*k = -o + 12, 0 = -5*o - 0*k + 2*k + 6. Solve 10 = -o*l - s*l for l. -2 Let x be (-6)/(-4) + (-3)/(-6)*3. Suppose 12 = 3*z + 6. Solve -1 = x*j + z for j. -1 Let m(p) = p**2 + 33*p + 219. Let b be m(-9). Solve 4*y + 1 + b = 0 for y. -1 Let m(t) = -t**3 - 2*t**2 + 2*t. Let c be m(-3). Let r(k) = k**2 + 4*k - 4. Let d be r(-5). Let x(i) = 3*i + 1. Let u be x(d). Solve -c + 19 = u*a for a. 4 Suppose -2*r + 4*r - 12 = 0. Suppose 5*l = r*l. Solve 0 = -d - l*d for d. 0 Suppose -10*q + 10704 = 38*q. Solve -q = 4*k - 235 for k. 3 Let m(n) = n**3 - 4*n**2 - 7*n - 4. Let o be m(6). Suppose 0 = -5*c - 5*d - 107 - 18, c - 5*d = -1. Let b be 5/(-35) + (-3)/c. Solve -4*u + o - 6 = b for u. 5 Let p = -101 - -109. Solve p*x = 5*x - 9 for x. -3 Suppose -5*r + r + 16 = 0. Suppose -a = r*a + p + 177, 138 = -4*a - 2*p. Let m be (-5)/(-3) + a/54. Solve j = 3 - m for j. 2 Let k(o) = o + 7. Let n be k(-11). Let q(z) = z**2 + 2*z - 8. Let a be q(n). Solve -4*p + 5*p + 1 = a for p. -1 Let l be 10/((-40)/6)*-4. Solve 6*a - l - 12 = 0 for a. 3 Suppose -531*h + 552 = -507*h. Solve 21*i - h*i = -2 for i. 1 Let m(r) = -r**3 - 9*r**2 + 10*r + 6. Let a be m(-10). Let h(n) = 3*n + a - 4*n - 2 + 2. Let u be h(2). Solve -y + 6 = -u*y for y. -2 Suppose 4*m - 27 = 3*p, -11 = -2*m - 3*p + 4*p. Suppose f + 4*u = -f + 12, -4*u + 12 = -m*f. Solve f = -2*g + 6 - 2 for g. 2 Let w(r) = r**2 + 17*r + 71. Let h be w(-11). Solve 5*l + h = 6*l for l. 5 Let g = 114 - 112. Solve -5*l = g + 23 for l. -5 Suppose -55*r = -17*r - 76. Solve -9*g = -11*g + r for g. 1 Let o(p) = p**2 - p + 5. Let t be o(0). Solve -t*r + 6 = -2*r for r. 2 Let l be (-2)/17 - 318/(-102). Solve 0 = l*q + q + 4 for q. -1 Suppose -r - 27 = -2*a, -25*a + 54 = -22*a + 3*r. Solve 6*f = a*f + 18 for f. -2 Let w be (-284)/14 - (-2)/7. Let l = 36 + w. Suppose 211 = -13*c + 237. Solve -c*i - l = -6*i for i. 4 Let f be 1*(3 + -4) - 81. Let y = 82 + f. Solve 4*k - 2*k + 4 = y for k. -2 Let m = -11 + 23. Let z = -12 + m. Solve -4*g + g - 3 = z for g. -1 Let c(u) = u**2 + 8*u + 13. Let f be c(-7). Let p(b) = -b**3 + 4*b**2 + 13*b + 2. Let s be p(f). Solve s = 4*d + 24 for d. -4 Suppose 3*k = 4*u + 3, 2*k - k + 5*u = 1. Let m be (55/20 + k)*4. Solve 5*f - 5 + m = 0 for f. -2 Let z(w) = 2 - 7*w - 8 - 6 + w**2. Let g be z(9). Let i be 1/(-3) - (-2)/g. Solve c = -i - 4 for c. -4 Let h(i) = 2*i**2 + 4*
{ "pile_set_name": "DM Mathematics" }