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in 46 - 46 + 35231*s**3. 35231*s**3 Collect the terms in 3530 - 5*f**2 + 3530 + 3534 - 15399 + 4805. -5*f**2 Collect the terms in -662*f**3 + 850*f**3 + 99*f**3 + 542*f**3. 829*f**3 Collect the terms in -502 - 24810*f + 502. -24810*f Collect the terms in 6449*i**2 - 33723*i**2 + 27270*i**2. -4*i**2 Collect the terms in 213330*d + 484782*d - 80607*d. 617505*d Collect the terms in -44*q + 12*q + 53*q + 406*q**3 - 21*q. 406*q**3 Collect the terms in 950*u**2 - 1480050 + 1480050. 950*u**2 Collect the terms in -43*u + 3 - 3519*u - 2048*u - 1312*u + 973*u. -5949*u + 3 Collect the terms in 8048*q**3 - 3 + 2058*q - 2058*q. 8048*q**3 - 3 Collect the terms in 323699*a**2 - 1324537*a**2 - 69094*a**2. -1069932*a**2 Collect the terms in -6016*q**2 + 3669*q**2 + 2738*q**2. 391*q**2 Collect the terms in 7*g + 676 - 4*g + 7210 - 2*g - 31*g**2. -31*g**2 + g + 7886 Collect the terms in 5319*x**2 - 5319*x**2 - 4 + 4 - 125*x - 28*x**3 + 123*x. -28*x**3 - 2*x Collect the terms in 6*d - 4*d + 54 + 90 + 29 + 3 - d**2. -d**2 + 2*d + 176 Collect the terms in -p**3 + 28677256691 - 28677256691. -p**3 Collect the terms in 3009 - 632 - 611 - 640 - 3*t**2 - 1126. -3*t**2 Collect the terms in 2888*q**3 + 2893*q**3 + 40*q**2 - 90*q**2 - 5780*q**3. q**3 - 50*q**2 Collect the terms in 179147043 - 36*d**3 + 32*d**3 - 53*d**3 - 18*d**3 - 179147043. -75*d**3 Collect the terms in -5131*n**2 + 1948*n**2 + 3185*n**2 - 10*n. 2*n**2 - 10*n Collect the terms in 4779*l**2 - 28669*l**2 + 4767*l**2 + 4779*l**2 + 4783*l**2 + 4783*l**2 + 4777*l**2. -l**2 Collect the terms in 68640 - 68640 - 8510*t + 3*t**3. 3*t**3 - 8510*t Collect the terms in 12051*z - 3005*z - 158*z**2 - 3007*z - 3010*z - 3029*z. -158*z**2 Collect the terms in -5*s**2 + 39 - 38*s - 3*s**2 - 2*s**2. -10*s**2 - 38*s + 39 Collect the terms in -316*o**2 - 195*o**3 - 450*o**2 + 296*o**3 + 91*o**2. 101*o**3 - 675*o**2 Collect the terms in -40746*b**2 - 19*b + 40746*b**2 - 4*b**3 + 19*b - 3*b**3. -7*b**3 Collect the terms in -762*n - 769*n - 434*n - 1061*n. -3026*n Collect the terms in 57942*t**2 + 58*t + 58005*t**2 - 115947*t**2 - 5*t**3. -5*t**3 + 58*t Collect the terms in 7*v**2 - 3192015562 + 3192015562. 7*v**2 Collect the terms in -19*s**2 - 1188751294 + 1188751294 - 2*s**2. -21*s**2 Collect the terms in -4*x**3 - 7*x + 7*x + 128660. -4*x**3 + 128660 Collect the terms in 3*q**2 - 3*q**2 - 9370018*q**3 + 9370024*q**3. 6*q**3 Collect the terms in 495*o - 1576*o + 410*o - 15*o. -686*o Collect the terms in -1314*w**2 + 13895*w**2 + 20576*w**2. 33157*w**2 Collect the terms in 21979*d + 4010*d - 4021*d. 21968*d Collect the terms in 9*g**3 - 12*g**2 - 15*g**3 + g + 100*g**3. 94*g**3 - 12*g**2 + g Collect the terms in -165*o + 23410 - 47219 + 23809. -165*o Collect the terms in 0*y + 0*y + 512152*y**3 + 510218*y**3. 1022370*y**3 Collect the terms in -3*t**3 - 168 + 5*t**3 + 168 + 3*t**3 + 238*t. 5*t**3 + 238*t Collect the terms in 107920*d**3 - 584*d + 1167*d - 583*d. 107920*d**3 Collect the terms in -4633*x**2 + 720 - 2*x - 365 + 2*x - 354. -4633*x**2 + 1 Collect the terms in 9*g - 2722 - 2657 - 2619 + 7998. 9*g Collect the terms in 9439464*o - 9439464*o - o**2. -o**2 Collect the terms in 9613*d - 13*d**3 + 16*d**3 - 3201*d - 3205*d - 3207*d - 12*d**3. -9*d**3 Collect the terms in 10098 + 19*k**3 + k**2 - 20105 + 10007 - k**2. 19*k**3 Collect the terms in 3256 - 811 - 822 - 811 - 459*f + 423*f - 812. -36*f Collect the terms in -655*v**3 - 3*v**2 - 43*v - 4*v**2 + 7*v**2. -655*v**3 - 43*v Collect the terms in -32 - 41 - 835*x**2 + 164*x**2 + 63. -671*x**2 - 10 Collect the terms in -7*m - 824*m - 15086 + 44*m + 2*m**2 + 15089. 2*m**2 - 787*m + 3 Collect the terms in 938*u + 1100*u - 2018*u. 20*u Collect the terms in -1674408049*q + 10*q**2 + 1674408049*q. 10*q**2 Collect the terms in i**2 - 16260 - 16203 + 32463 + 14*i**2 - 255*i. 15*i**2 - 255*i Collect the terms in -48*z - 44*z - 48*z - 49*z + 187*z - 50. -2*z - 50 Collect the terms in 27*i + 37*i - 145*i + 22*i + 1 + 25*i + 29*i. -5*i + 1 Collect the terms in 229*t - 2*t**3 - 44*t - 89*t + 3*t**3 - 96*t. t**3 Collect the terms in -5361*c**2 - 2979*c**2 - 1273*c**2 - 383*c**2. -9996*c**2 Collect the terms in 6649*l**3 + 1472*l**2 + 1472*l**2 + 1474*l**2 - 4418*l**2. 6649*l**3 Collect the terms in 169*t**2 + 20 + 25 - 95 - 11*t + 29 + 25. 169*t**2 - 11*t + 4 Collect the terms in -53526 + 160593 - 53529 - 3*z - 15*z**2 - 53538. -15*z**2 - 3*z Collect the terms in 707*q**3 - 890*q**3 + 3 + 176*q**3 - 1. -7*q**3 + 2 Collect the terms in 3*l - 56436*l**2 - 3*l - 61860*l**2. -118296*l**2 Collect the terms in -52783*z**3 + 662*z - 334*z - 328*z - 57112*z**3. -109895*z**3 Collect the terms in 11775 + 8*r**2 - 33530 + 10786 + 10969. 8*r**2 Collect the terms in 739517*u - 1486910*u + 747399*u. 6*u Collect the terms in 4251*b**3 + 3*b**2 + 24793*b**3 - 5*b**2. 29044*b**3 - 2*b**2 Collect the terms in -16*l**3 + 1602213866324 - 1602213866324. -16*l**3 Collect the terms in 574*k**3 - 164*k**3 - 143*k**3 - 192*k**3. 75*k**3 Collect the terms in -12829*n + 3762*n - 159*n - 20967*n. -30193*n Collect the terms in -92660*t - 92503*t - 6*t**3 + 185163*t. -6*t**3 Collect the terms in -425*y + 1143*y - 426*y + 137*y - 423*y. 6*y Collect the terms in -279 + 477 + 148*q + 62*q - 269. 210*q - 71 Collect the terms in 12*l**2 + 17*l**2 - 29*l**2 + l**3 + 9498186 - 9498186. l**3 Collect the terms in -8*x - 12*x - 7*x - 7*x + 2*x - 190. -32*x - 190 Collect the terms in 13329 - 3560 - 6217 + 3*h - 3552. 3*h Collect the terms in -w**2 + 3*w**3 - 10232*w - 1 - 5*w**3 + 84413*w. -2*w**3 - w**2 + 74181*w - 1 Collect the terms in -4349*u**2 + 14511*u**2 - 3677*u**2 - 4129*u**2 - 3672*u**2. -1316*u**2 Collect the terms in 61*o + o - 1 + 3*o + 8*o. 73*o - 1 Collect the terms in 728*n**2 - 1205*n**2 + 643*n**2. 166*n**2 Collect the terms in -3580268166 + 3580268166 - 9*p**3 + 3*p**3. -6*p**3 Collect the terms in -39*w + 1235214 - 1235214. -39*w Collect the terms in -46123041*t**2 - 2 + 6*t**3 + 2 + 46123041*t**2 - 11672*t + 11672*t. 6*t**3 Collect the terms in -40459*j - 36889*j + 77357*j. 9*j Collect the terms in -111 - 295 + 234*s**3 - 231*s**3 - s. 3*s**3 - s - 406 Collect the terms in -4*g**3 + 435778 - 435778 - 4*g + 10*g - 6*g. -4*g**3 Collect the terms in 72905*t - 380293*t - 229918*t - 182735*t. -720041*t Collect the terms in 40*j - 21*j - 19*j + 22871784*j**2. 22871784*j**2 Collect the terms in -2 - 186268*b**2 - 1 + 186784*b**2 + 2. 516*b**2 - 1 Collect the terms in 3*g - 3*g - 1202 + 2526 - 1266 + 2*g. 2*g + 58 Collect the terms in 181011 - 181011 + 11183*s**2. 11183*s**2 Collect the terms in 4468*r**2 - 8565*r**2 + 4112*r**2. 15*r**2 Collect the terms in -52 - q - 163 + 12 + 9 - 121. -q - 315 Collect the terms in -5519*r**2 - 5519*r**2 - 5513*r**2 - 5517*r**2 - 5510*r**2 + 27569*r**2. -9*r**2 Collect the terms in -520*i - 2*i**2 + 1497*i - 500*i - 509*i. -2*i**2 - 32*i Collect the terms in 622 - 4853 - 417 + 2*a**3. 2*a**3 - 4648 Collect the terms in 72 + 0*l - 224*l**2 - 69 - 27*l**2 - 56*l - 96*l. -251*l**2 - 152*l + 3 Collect the terms in -2*k**3 - 305 - 2*k**2 - 13*k**2 - 9*k**3 + 13*k**3. 2*k**3 - 15*k**2 - 305 Collect the terms in 9*p + 60836 + 8*p + 16740 - 6*p. 11*p + 77576 Collect the terms in 2*k + 3*k - 8*k - 12*k - 170 - 5*k. -20*k - 170 Collect the terms in -5*a**2 + 0*a**2 + 5*a**2 - 447 - 681 + 1128 + 10*a**3. 10*a**3 Collect the terms in 37*q - 159471 + 318951 - 159479 + 24*q. 61*q + 1 Collect the terms in -3310 + 1199*l**2 - 11*l + 11*l + 3310. 1199*l**2 Collect the terms in 31*z + 248394 - 248394. 31*z Collect the terms in 164*s**2 + 88*s**2 + 78*s**2 + 89*s**2 - 440*s**2 + 94*s**2. 73*s**2 Collect the terms in -723470 + 723470 + m**2. m**2 Collect the terms in 3*s - 8*s - 9670253*s**2 + 4*s + 9670256*s**2 + 4*s - 3*s. 3*s**2 Collect the terms in -916478*x**2 - 8491582*x**2 + 366930*x**2. -9041130*x**2 Collect the terms in -30970160*m + 15483022*m + 15487136*m. -2*m Collect the terms in -54*n - 94*n - 2996*n**2 + 147*n. -2996*n**2 - n Collect the terms in -896 + 1783 - 887 - 552*r. -552*r Collect the terms in 42*t - 10*t**3 + 0*t + 71 - 69 + 37*t - 16*t. -10*t**3 + 63*t + 2 Collect the terms in -78*o - 264*o**2 + 17*o - 711*o**2 + 49*o + 10*o. -975*o**2 - 2*o Collect the terms in 10
{ "pile_set_name": "DM Mathematics" }
1728/1344) 2 Evaluate 2/(-4)*((-18480)/22)/21. 20 Calculate (((-9)/(-9))/((-2)/(-4)))/(2/(-14)). -14 What is (-56)/595*(8/40)/((-4)/(-50))? -4/17 What is 2/(-1)*(-1)/(-19*(-17)/17)? 2/19 Calculate (20/160)/((-130)/195). -3/16 What is ((-8764)/(-1252))/((4/(-24))/((-1)/2))? 21 What is (2/4)/((-176)/(-880))? 5/2 (31/((-1085)/(-224)))/((-1)/(-15)*6) 16 What is the value of ((-24)/(-16))/(3*(-15)/90)? -3 What is ((-216)/(-156))/(39/169)? 6 What is (-8)/18*(-18)/(-44)*155/930? -1/33 What is the value of (3/3)/(1134/486)? 3/7 What is (-4)/15*(-18)/8*80/20? 12/5 What is the value of ((-5)/90*-15)/((1040/(-112))/(-13))? 7/6 What is ((-36)/(-45))/(52/10)? 2/13 Evaluate (5/((-15)/8))/(-7*(-38)/(-399)). 4 ((-243)/(-6))/((-159)/(-106)) 27 What is the value of (14/(-49))/((-55)/(-77))? -2/5 What is the value of (6/(-2))/((-31)/(-186)*117/143)? -22 Evaluate 5/(-2)*2156/(-490). 11 -2*-7*10/(-700)*0/(-12) 0 ((-2)/(-246))/((-7)/42) -2/41 Calculate ((21/(-14))/(15/(-8)))/(2*3). 2/15 What is the value of ((-18)/(-105))/(738/1230)? 2/7 What is ((-62)/(-3906)*-350)/(5/(-2))? 20/9 (8/20)/(805/280*(-4)/5) -4/23 What is (((-200)/210)/(-2))/(270/252)? 4/9 Calculate (21/20)/(48/960). 21 What is (490/882)/(((-50)/(-12))/5)? 2/3 ((-2)/(-2))/((-116)/(-87))*8 6 Evaluate (14/(-10))/((-6)/20*(-120)/(-30)). 7/6 What is (7011/228)/41*16/(-42)? -2/7 What is (2/(-12))/((-59)/590)? 5/3 Evaluate 28/210*(-30)/40. -1/10 Evaluate ((-2244)/187)/((-6)/(-4)). -8 ((-204)/(-66))/(76/418) 17 (2/(-6))/(566/(-1415)) 5/6 Evaluate (-73)/((-8395)/1288)*(-10)/(-7). 16 Calculate (-805)/3910*6/7. -3/17 What is the value of 3*6*24/36? 12 Evaluate ((-76)/(-4))/((-4)/44*-11). 19 What is the value of 1*7*382/(-382)? -7 What is the value of 4/(((-1)/10)/((207/(-9))/184))? 5 Calculate (-64)/40*105/1764. -2/21 Evaluate 18/(-4)*20/30*10/(-5). 6 Evaluate 14/(-4)*(-1140)/285. 14 What is the value of (21/12)/(-7)*128/(-48)*-9? -6 16/(-192)*-4*-24 -8 What is the value of (-4)/(8/5)*(-168)/35? 12 What is ((10/4)/(-1))/((-5480)/(-548))? -1/4 Evaluate ((-272)/(-3264))/(4/18*3). 1/8 What is (35/(140/(-16)))/((-42)/(-6))? -4/7 ((-17976)/42372)/(2/(-22)) 14/3 What is the value of 7/(-1)*(1400/50)/(-392)? 1/2 What is -2*((-4)/6)/((-30)/(-45))? 2 What is 14/119*2/4? 1/17 Evaluate ((15/(-10))/1)/((-1125)/(-60)). -2/25 Calculate -5*(-1)/(-15)*0. 0 Evaluate ((-72)/(-2970))/(114/(-627)). -2/15 ((-650)/1300)/(2/8*-41) 2/41 (-2)/392*7*2/(36/(-21)) 1/24 Calculate (-154)/(-154)*2/6. 1/3 Calculate 1245/166*(-8)/(-110). 6/11 Evaluate 39/21*(-74)/(-481). 2/7 Evaluate (-11)/(77/(-14))*558/62. 18 112/280*20/(-28) -2/7 Calculate ((-3*20/36)/(1/(-18)))/(-2). -15 Calculate ((-67)/(19229/(-328)))/(-2). -4/7 Calculate 196/(-140)*20/(-70). 2/5 Evaluate (-24)/(-1)*84/(-120)*10/(-14). 12 What is the value of ((35/5)/(-21))/(-1)*-6? -2 (10*9/12)/(12/(-24)) -15 What is (-12)/(-4)*89/(-2937)? -1/11 Evaluate 12/84*15/(-5). -3/7 What is the value of ((-2444)/(-3055))/(1*(-2)/(-5))? 2 What is 2241/(-166)*4/(-9)? 6 What is the value of (5/(-60))/((5/3)/(304/114))? -2/15 ((-360)/(-495))/((-42)/(-33)) 4/7 (-1986)/(-50643)*51/18 1/9 1/((-2)/(-3)*4*(-5)/(-120)) 9 Calculate (-288)/40*1/(6/15). -18 Calculate 6/(5*15/25)*(-17)/255. -2/15 (45/(-6300)*231)/(6/(-8)) 11/5 Evaluate (-1)/(((-94)/(-47))/((-138)/3)). 23 What is the value of -10*2/12*(-726)/(-7865)? -2/13 What is the value of (-90)/(-315)*2/(-156)*14? -2/39 Evaluate ((-60)/(-384))/(((-325)/(-10))/13). 1/16 ((-6)/(-35))/((-26)/91) -3/5 ((-3)/(-12))/((-477)/(-26712)) 14 What is (14/7)/(14/((-84)/1))? -12 Evaluate 2*6/(-34)*(-17)/51. 2/17 What is the value of (4/15)/((-1)/3)*(-80)/416? 2/13 Calculate ((-80)/56)/((-15)/(-6)). -4/7 (40/14)/(-4*(-18)/(-252)) -10 (42/21)/((-80)/24)*5/(-9) 1/3 What is the value of ((-1)/(-2))/((-80)/4320)? -27 What is the value of -2*(2856/(-16))/21? 17 Evaluate (1*2/(-36))/((1148/(-84))/41). 1/6 (364/(-156)*(-2)/2)/(-1) -7/3 Calculate (((-135)/(-21))/15)/(198/(-84)). -2/11 What is 4*-8*(-7)/(-3360)? -1/15 What is the value of ((-1)/3)/((-364)/156)? 1/7 ((-6*1)/(3/9))/(386/(-386)) 18 (15/35)/((-6)/(-4)) 2/7 ((28/(-32))/(-7))/(250/(-600)) -3/10 What is (7/(-385)*15/(-2))/(9/24)? 4/11 Evaluate (400/32)/(10/4). 5 What is (12/27)/(88/(-396))? -2 Evaluate (-12)/((-468)/91)*3. 7 What is the value of (6/120*-3)/((-198)/(-88))? -1/15 Calculate (-10)/(-1)*(-8)/(-140)*-14. -8 What is 5/(-20)*(-56)/(-21)*12/(-40)? 1/5 Calculate (((-2)/(-8))/((-12)/(-48)))/((-119)/34). -2/7 What is (11/(-45))/(10087/(-2751))? 1/15 What is 67/(-335)*260/((-4)/1)? 13 Calculate 12/(-14)*((-7)/3)/(63/(-567)). -18 10/(-27)*(1035/75)/(-23) 2/9 Calculate -5*((-168)/3000*-5)/(2*-1). 7/10 Evaluate ((101/202)/(1/(-2)))/((-35)/(-2)). -2/35 What is the value of (-2)/(-8)*1584/(-198)? -2 Evaluate ((-4)/(64/(-156)))/((-39)/52). -13 Evaluate (35/(-4))/((-715)/572). 7 ((-2)/(-2))/((-95)/10) -2/19 Calculate ((-91)/(-182))/(6/(-252)). -21 Calculate 1*19/(-19)*6. -6 What is ((12/(-33))/2)/(559/(-24596))? 8 5/(-65)*(224/16)/7 -2/13 What is the value of (((-23188)/(-330))/(-17))/(4/6)? -31/5 Calculate (14/(-28))/(12/(-9)). 3/8 Evaluate ((-30)/40)/(18/(-72)). 3 Evaluate (((-1001)/198)/(-13))/(4/((-36)/(-21))). 1/6 What is the value of 3/20*4*(-35)/(-56)? 3/8 Evaluate ((-126)/(-72))/((-175)/100). -1 Calculate (-94)/47*10/12*(-108)/(-140). -9/7 What is (20/(-10))/((2/42)/(1/(-3)))? 14 Calculate (-390)/(-780)*5/1. 5/2 What is ((-66)/297*63)/(-203)? 2/29 4*3*(-23)/(506/(-33)) 18 Evaluate (((-522)/108)/29)/(2/(-9)). 3/4 What is the value of 6/8*16/40*25/(-30)? -1/4 What is the value of -6*(-2)/(-105)*230/(-276)? 2/21 What is the value of ((-1)/12)/(108/(-72)*2/(-12))? -1/3 What is the value of ((-30)/5)/(12*(-8)/304)? 19 What is -5*(((-504)/49)/6)/((-20)/14)? -6 What is 104/112*(-70)/(-20)? 13/4 Evaluate (-8)/34*(-164)/(-656). -1/17 What is (-820)/1845*(-27)/21? 4/7 (-6)/42*12/2 -6/7 What is ((-4)/(-26))/((-218)/(-1417))? 1 Calculate 28/105*(3/2)/((-20)/40). -4/5 What is the value of 18/(-5)*160/48*(-3)/3? 12 Evaluate (-32)/(-336)*3*28/(-2). -4 What is the value of (9030/24381)/((-2)/(-54))? 10 Calculate ((-50)/35)/(13/(-1092)*10). 12 What is (-17)/((-935)/44)*10/4? 2 Evaluate (128/(-40))/(304/190). -2 ((-414)/276)/((-3)/(-4)) -2 Calculate 424/159*(-8)/(-48)*(-4)/4. -4/9 What is the value of ((-7)/((-98)/(-12)))/((-1)/42*8)? 9/2 Evaluate (-2*25/(-20))/(555/(-3996)). -18 ((-538966)/(-17386))/(((-2)/3)/((-4)/6)) 31 (-1)/(-1)*33/33*(-4)/(-4) 1 Calculate (((-456)/(-252))/19)/((40/18)/5). 3/14 Calculate (9/90*72/(-39))/(2/5). -6/13 Evaluate (-2)/43*-23*(-25)/575. -2/43 Evaluate (-16)/12*1595/(-116)*(-3)/(-5). 11 -1*(32/88)/((-7)/77) 4 (1*15/10)/((-3)/(-38)) 19 Calculate (60/175*-10)/((-18)/42). 8 What is the value of 20*-6*((-154)/105)/22? 8 Calculate (((-697)/164)/((-2)/(-6)))/(375/1000). -34 What is the value of (36/(-20))/((-41)/(-10250)*30)? -15 Evaluate 55/22*3*6/(-36)*2. -5/2 Evaluate (((16/14)/4)/(-1))/(72/42). -1/6 Evaluate ((-10)/6)/((-8)/72*(-3)/2). -10 (56/48)/((-57)/(-1026)) 21 What is (-1)/(-2)*((-2492)/3115)/(12/(-50))? 5/3 What is the value of (-328)/164*(-4)/8? 1 2*((-520)/20)/(-52) 1 Evaluate ((-22)/(-66))/((-11)/(-561)). 17 252/(-288)*(-16)/(6/3) 7 Calculate (-34)/(-6)*831/(-1385). -17/5 What is the value of ((-75)/10)/(126/(-21))? 5/4 Evaluate ((-1)/(-18))/((-9)/((-234)/(-13))). -1/9 70/(-7)*(-73)/292 5/2 Evaluate (-4*(-40)/14)/((-1388)/4858). -40 What is the value of -33*402/737*10/(-6)? 30 96/(-5)*2635/(-1581) 32 (28/(-2))/14*70/2 -35 What is the value of 620/31*(-18)/(-30)? 12 (104/(-130)*10/12)/(24/756) -21 (2/(-4))/((-29)/7308*18) 7 What is the value of 28/112*(-272)/(-221)? 4/13 What is 2*2*4/(-16)*(-15)/(-15)? -1 Evaluate -4*(-25)/80*4. 5 What is 33/231*(-70)/(-5)? 2 What is the value of ((-2)/((-12)/1))/(6*(-12)/720)? -5/3 28/(-2)*(-330)/220 21 Calculate (3/21*-1)/(22*(-28)/1232). 2/7 Evaluate (-6)/1*(-609)/522*4/154. 2/11 Evaluate ((-2*36)/(-6))/(9*(-10)/120). -16 Calculate (-6)/(-196)*1564/1173. 2/49 What is 48352/(-4533)*1/(-2)? 16/3 What is the value of ((-57)/((-7752)/32))/((-2)/(-17))? 2 (-39)/6*332/(-3237) 2/3 ((-2)/5)/(486/405) -1/3 What is the value of (6/(-9))/(2*135/81)? -1/5 What is (-6*(-3)/(-6))/((-812)/(-58))? -3/14 What is the value of (10/9)/((160/(-144))/(-5))? 5 What is the val
{ "pile_set_name": "DM Mathematics" }
What is the biggest value in n, 267, 4? 267 Let r = 220.8 + -204. Let w = r - 3.8. Which is the second biggest value? (a) w (b) -0.4 (c) 1 c Let r = -84 + 153. Let n = r - 68.998. Which is the third biggest value? (a) n (b) -0.5 (c) -4 c Let s = -619.7 - -620. Let v = 1.1 + -0.3. Which is the second biggest value? (a) s (b) v (c) -3 a Let x = -0.161 + 10.161. What is the third smallest value in -10, -4, 0.1, x? 0.1 Suppose -7*l - l = -3*l. Let q be (4/8)/(1/(-6)). Let x be (-13)/4 + q/(-12). Which is the second biggest value? (a) l (b) 1 (c) x a Let i(w) = -8*w - 23. Let h be i(-3). Let z = -10 - -10.1. What is the second smallest value in z, -1, h? z Let t = -94.5 - -96.5. What is the third biggest value in 2/11, -0.25, 1, t? 2/11 Let d = -0.12 - -0.03. Let j = 3.91 - d. Let x = 73 + -72. Which is the second biggest value? (a) j (b) -3/8 (c) x c Let o = -651.5 + 651. Let n = -22 + 21.7. What is the third biggest value in o, -2, n, -0.4? o Let q be (-2 - -2 - 4/(-6))*3. Let r = 5 - q. Which is the third smallest value? (a) 0.3 (b) r (c) 3/5 b Let a = -4.2181 - -0.2181. Let c be (1 - 6/8) + -1. What is the fourth biggest value in -5, a, 0, c? -5 Let k = 1.93 - 1.83. What is the smallest value in -2.5, k, 0.3? -2.5 Suppose -2*j - 28 = -2*d, 3*j = 4*d - 1 - 45. Let s be 4/j*(-15)/(-12)*2. Let f = 1 - 1. Which is the third biggest value? (a) s (b) f (c) 0.1 a Let u = 3 - 8. Let l = u + -13. Let y = -20 - l. Which is the third biggest value? (a) 0.2 (b) y (c) 5 b Let l = -158.4 - -158. Which is the fourth smallest value? (a) -1/2 (b) -3/10 (c) 1.3 (d) l c Suppose 3*w = 5*w - 4. Let v be (-3)/5 + w + -1. Which is the second smallest value? (a) v (b) 3 (c) 0 a Let a = -4 + 3.93. Let u = -23 + 22.65. Let h = -0.15 + u. What is the second biggest value in a, -4/5, h? h Let h = 97 - 96.4. Let f = h - 0.2. Which is the biggest value? (a) -6 (b) 4 (c) f b Let u be -1 + (-3)/(15/(-20)). Which is the second smallest value? (a) -0.18 (b) -0.1 (c) u b Let t = -1682 - -1186. Which is the second biggest value? (a) 5 (b) t (c) 0.5 c Let i be (352/20)/4 - 4. Let x = -6 - -9. Let n = x + -8. What is the third smallest value in 5, n, i? 5 Suppose 6*h + 9 = 93. Let u be 4/4*(-4)/h. Which is the biggest value? (a) -0.1 (b) u (c) 0.3 (d) -6/5 c Let m = 53 - 49. What is the biggest value in 2/3, 0.2, -5/3, m? m Let x = -518 - -518.1. What is the second smallest value in -2, x, 26? x Suppose 10 = 17*v - 15*v. What is the biggest value in -5, v, -15, -0.5? v Let m = 3/7 - 11/42. Let s = 682 - 42964/63. Which is the fourth smallest value? (a) -5 (b) m (c) -4 (d) s b Let p be ((17 - 11)/3)/(-6). Which is the second smallest value? (a) -0.062 (b) -3 (c) p c Let u = -1/67 - 64/201. Let c = -61/2775 + -2/111. Let g = c - 4/25. What is the biggest value in u, g, 6? 6 Let x = 1417 + -75099/53. What is the third smallest value in -6, -2, x, 4? x Let l = -2481/7 - -355. Let o(y) = -y**3 - 4*y**2 + 2*y + 1. Let k be o(-4). Let f be 34/66 + k/21. Which is the second smallest value? (a) -5/2 (b) f (c) l b Let t be ((-15)/24)/((-572)/68). Let o = -289889/40040 - t. Let l = o - -54/7. Which is the third biggest value? (a) 0.5 (b) l (c) -1 c Let z = -86.893 - 0.107. Let r = 76 + z. Which is the second smallest value? (a) 3/4 (b) r (c) -3 c Let q(u) = -u**3 - 23*u**2 - 23*u - 22. Let z be q(-22). Which is the second smallest value? (a) 0.1 (b) z (c) -2 b Let s(f) be the first derivative of -f**4/4 + 3*f**3 - f**2 + 13*f - 16. Let t be s(9). Suppose -5*l + 25 = -0*l. What is the smallest value in t, l, -1/3? t Let l(f) = 14*f - 170. Let v be l(12). Which is the second biggest value? (a) 0.06 (b) 5 (c) 2 (d) v c Let o = -9131/24 - -380. Let h be (-182)/48 - -2 - -2. Let l = h + o. What is the third biggest value in 0, 3/14, l? l Let y(h) = 5*h**2 + 72*h + 87. Let a be y(-13). What is the fourth smallest value in -3, -108, a, 3? 3 Let r = -22.01 + 22. Suppose -5*l + 18 = -2. What is the second smallest value in r, 2, 0.3, l? 0.3 Let x = 24 - 22. Let s be (2 + -3)/(x/(-10)). Suppose -s*r + 27 = -f, 3*r - 5*f = 4*r + 5. Which is the biggest value? (a) -2/5 (b) r (c) 0.14 b Let o = 0.0519 - 0.0519. Which is the second biggest value? (a) 1.2 (b) o (c) -1 b Let c = 73.2 - -9.8. Let d = c + -83.1. What is the smallest value in d, -5, -1, -19? -19 Let t = 211.9844 - -0.0156. Let f = -202.9 + t. Let z = f + -9. Which is the second smallest value? (a) -0.3 (b) z (c) -0.5 a Let i = 0 - 0.2. Let j(s) = -s**3 + s**2 + s. Let r be ((-6)/(-24)*0)/(-3*1). Let f be j(r). Which is the biggest value? (a) f (b) i (c) 0.4 c Suppose 7*d = 4*d. Let n = -0.6711 - -0.2711. Let f(q) = -2*q - 9. Let k be f(-7). Which is the third smallest value? (a) k (b) d (c) n a Let z = -511 - -510.6. Which is the fourth biggest value? (a) 0.08 (b) z (c) -1/3 (d) 0 b Let r be 4/12 + 3/(-9) - 34. Let q = r + 100/3. Which is the smallest value? (a) -3 (b) q (c) 0.01 a Let t = -109.6 + -130.4. What is the biggest value in t, -0.4, -1? -0.4 Let h = 7 - -9. Suppose n + 1 = h. Let d be ((-4)/(-35))/(6/n). Which is the third biggest value? (a) -3 (b) 4 (c) d a Let a = -14.86 - 0.14. Let p = 24.3 - 24.8. What is the smallest value in p, -3, a? a Suppose 18 - 48 = 5*u + 5*u. Let z = -5 - -1. What is the fourth smallest value in -2/5, 1/7, z, u? 1/7 Let r(c) = -c - 1. Let o be r(-6). Suppose -5*a - 30 = 4*p, 10*a - o*a - 15 = 5*p. What is the smallest value in 6, p, 4? p Let g(t) = -3*t + 16. Let a be g(6). Let v be ((-4)/9)/((-4)/(-6)). Let i = 72 + -359/5. What is the smallest value in a, i, v? a Let d = 2 + 14.8. Let h = 42 - 25. Let z = h - d. Which is the second biggest value? (a) 4 (b) -0.2 (c) z c Let o = -1128 - -1040.1. Let t = -88 - o. Which is the fourth biggest value? (a) 0.1 (b) t (c) 4 (d) 1/5 b Let x = 6 - 10. Suppose -b + 90 = 5*b. Suppose 0 = -7*w + b - 1. What is the biggest value in -1/3, x, w? w Let k = -264 - -264.04. Let w = 0.39 + -0.79. What is the biggest value in -3/2, w, k? k Let g(j) = 2*j**2 + 9*j + 4. Let c be g(-5). What is the second biggest value in -1, 0.5, c? 0.5 Let a = 1.3 - 1. Let q = 0.8 + -1.1. What is the biggest value in 0.4, q, a? 0.4 Let u = 0.1 + 0.34. Let p = u + -26.44. Let s = p + 25.6. Which is the third smallest value? (a) -0.1 (b) s (c) -1/5 a Let y = -0.4 - 0. Let g = -203 + 211. Which is the biggest value? (a) g (b) 1 (c) y a Let q = 19.26 - 18.96. Which is the second biggest value? (a) 0.1 (b) -1/5 (c) q (d) -1.7 a Let r = -33 - -35. Let a = 31 - 36. What is the third biggest value in r, -0.2, a? a Let z = 31/3 - 11. Let y = 7006 + -7010. Which is the fourth biggest value? (a) y (b) -3 (c) 5 (d) z a Let w = 476 - 475.6. What is the second smallest value in -6, w, -3/8? -3/8 Let h = 208 + -205. Which is the fourth smallest value? (a) -1/6 (b) 5 (c) 0.4 (d) h b Let y be 8/16 - (-184969)/4466. Let f = y - 1222/29. Let h = 4/11 + f. Which is the biggest value? (a) -0.2 (b) -6 (c) h c Let m = 8.5 + -1.5. Let o = 22.2 + -19.2. Which is the third biggest value? (a) m (b) -0.5 (c) o b Let c = 35 + -526/15. Let k = -3 - -4. What is the second smallest value in -2/17, k, c, 3? c Let f = 1.7 - -5.3. Let j = 0 - f. Let d = -6.5 - j. What is the biggest value in d, -5, -4? d Suppose g - 4*g = 9. Let l = -3.766 + -0.234. What is the second smallest value in 2/9, g, l? g Let l be 156/(-42) + 4 + 0. Which is the smallest value? (a) -5/4 (b) l (c) -5 (d) -3 c Let w = 12 + -8. Let f be w/(-10)*10/(-24). Which is the third smallest value? (a) -3 (b) f (c) -1 b Let x = -0.004 - -22.004. Let r = 17 - x. Which is the second biggest value? (a) 0.3 (b) -0.4 (c) r b Let b = 0.77 + 0.23. Let u = -1.1 + b. What is the second biggest value in u, -3/5, -5? -3/5 Let n = -23.3 - -23.7. What is the third smallest value in n, -0.4, 3? 3 Let b = 0.2596 + 10.6704. Let p = -11 + b. Let a = 2.93 - p. What is the second biggest value in a, 5, -4? a Let p = -52 + 52.03. Let r = -0.17 - p. What is the second smallest value in 1/3, 3, r, -5? r Let q be 3/4*(-1)/3. Let z be ((-16)/(-3))/(-4)*35/28. Which is the biggest value? (a) 0.4 (b) 2/7 (c) z (d) q a Let p = 3 + 2. Let y = 90/7 + -8
{ "pile_set_name": "DM Mathematics" }
prob of picking 1 d, 1 x, and 1 t? 2/35 Four letters picked without replacement from qqzgzgqgzgggg. What is prob of picking 2 q, 1 z, and 1 g? 63/715 Calculate prob of picking 1 k and 1 e when two letters picked without replacement from ekqqvpvvrkrr. 1/33 Four letters picked without replacement from nssusnuuudduunuusuu. What is prob of picking 2 n and 2 d? 1/1292 Three letters picked without replacement from pscpspps. What is prob of picking 3 s? 1/56 What is prob of picking 2 q when two letters picked without replacement from hhiiiiqqiiiq? 1/22 Three letters picked without replacement from wvwwwvrwtwwwwwvvr. Give prob of picking 1 v, 1 r, and 1 t. 1/85 Calculate prob of picking 2 x and 1 r when three letters picked without replacement from xnnnxnxrnxxvnvk. 2/91 Four letters picked without replacement from {i: 6}. Give prob of picking 4 i. 1 What is prob of picking 1 p and 1 m when two letters picked without replacement from fmppmmqppwq? 12/55 Two letters picked without replacement from {f: 2, v: 11}. What is prob of picking 2 v? 55/78 What is prob of picking 2 k and 2 r when four letters picked without replacement from {m: 3, c: 3, k: 2, r: 8}? 1/65 What is prob of picking 1 r, 1 u, and 1 y when three letters picked without replacement from uuyuuutrmvrru? 9/143 Calculate prob of picking 1 l and 2 o when three letters picked without replacement from {w: 7, l: 1, o: 10}. 15/272 Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {r: 1, x: 1, t: 2, f: 2, q: 2}. 1/28 Two letters picked without replacement from {m: 3, z: 2, b: 5, k: 2, p: 2, y: 2}. Give prob of picking 1 p and 1 b. 1/12 What is prob of picking 1 k and 1 g when two letters picked without replacement from {z: 2, v: 1, j: 3, t: 1, k: 3, g: 1}? 3/55 Three letters picked without replacement from {b: 1, m: 1, n: 1, a: 5, t: 1}. Give prob of picking 1 a, 1 n, and 1 b. 5/84 Four letters picked without replacement from kekzzuf. Give prob of picking 1 k, 1 u, and 2 e. 0 Four letters picked without replacement from {p: 7, v: 3, d: 1, u: 3, o: 4}. What is prob of picking 3 u and 1 o? 1/765 What is prob of picking 3 a and 1 g when four letters picked without replacement from {g: 2, a: 4, i: 7}? 8/715 Three letters picked without replacement from {f: 3, a: 10, n: 2, m: 1}. What is prob of picking 1 n, 1 m, and 1 f? 3/280 What is prob of picking 1 a and 1 v when two letters picked without replacement from {v: 2, a: 2, p: 4, r: 1}? 1/9 Calculate prob of picking 1 v and 1 e when two letters picked without replacement from {s: 1, c: 3, e: 1, d: 1, v: 1}. 1/21 Calculate prob of picking 1 l and 3 b when four letters picked without replacement from {u: 1, b: 5, l: 9, f: 1}. 9/182 Three letters picked without replacement from {a: 1, t: 2, d: 11, v: 5}. Give prob of picking 1 a and 2 v. 10/969 Three letters picked without replacement from myyrmyymynmyymm. What is prob of picking 1 y and 2 m? 3/13 Two letters picked without replacement from uyvuu. Give prob of picking 1 y and 1 u. 3/10 Two letters picked without replacement from vqqqwqwvqzq. What is prob of picking 2 w? 1/55 Three letters picked without replacement from gswisdwdpsii. What is prob of picking 1 s, 1 d, and 1 p? 3/110 What is prob of picking 3 a when three letters picked without replacement from {a: 3, c: 15}? 1/816 Two letters picked without replacement from {v: 1, i: 2}. Give prob of picking 1 i and 1 v. 2/3 Four letters picked without replacement from ddddddeidddleed. Give prob of picking 2 d and 2 e. 9/91 Calculate prob of picking 4 k when four letters picked without replacement from kkkkkkkkk. 1 Three letters picked without replacement from cdcipcpcecpipcccc. Give prob of picking 2 i and 1 d. 1/680 Calculate prob of picking 1 p and 1 e when two letters picked without replacement from iggiiipe. 1/28 Two letters picked without replacement from {f: 2, j: 3, u: 2, o: 5}. Give prob of picking 1 j and 1 f. 1/11 Two letters picked without replacement from {v: 2, k: 6, s: 5}. What is prob of picking 1 v and 1 k? 2/13 Three letters picked without replacement from {l: 2, q: 1, c: 1}. Give prob of picking 1 l, 1 q, and 1 c. 1/2 Calculate prob of picking 1 t and 1 q when two letters picked without replacement from qegkute. 1/21 Calculate prob of picking 1 u, 1 v, and 1 b when three letters picked without replacement from {u: 3, v: 3, n: 1, g: 1, k: 3, b: 7}. 21/272 Two letters picked without replacement from {g: 4, k: 6}. Give prob of picking 2 k. 1/3 What is prob of picking 2 p, 1 y, and 1 e when four letters picked without replacement from ttpypes? 1/35 Calculate prob of picking 3 g when three letters picked without replacement from qgfgffggfqfggfgf. 1/16 Four letters picked without replacement from {e: 9, p: 7}. Give prob of picking 4 e. 9/130 Three letters picked without replacement from jjelzzlezejljze. What is prob of picking 3 l? 1/455 Calculate prob of picking 1 a and 1 w when two letters picked without replacement from {h: 6, a: 4, w: 3}. 2/13 What is prob of picking 1 m and 1 d when two letters picked without replacement from gmoyyddmododymyo? 1/10 Four letters picked without replacement from {o: 1, n: 6, z: 7, j: 5}. Give prob of picking 1 o, 1 j, 1 z, and 1 n. 35/646 What is prob of picking 1 e and 2 u when three letters picked without replacement from {u: 7, e: 3}? 21/40 What is prob of picking 4 o when four letters picked without replacement from oqqbooqbooboobosooo? 55/646 Calculate prob of picking 1 i and 2 l when three letters picked without replacement from {l: 2, i: 1, z: 1, y: 1, k: 2}. 1/35 Two letters picked without replacement from {o: 11, z: 2, j: 1}. Give prob of picking 1 j and 1 z. 2/91 Three letters picked without replacement from oazouuoffuf. What is prob of picking 1 o, 1 z, and 1 f? 3/55 Calculate prob of picking 1 m and 2 u when three letters picked without replacement from {s: 7, m: 3, u: 9}. 36/323 What is prob of picking 2 a when two letters picked without replacement from {q: 6, e: 1, m: 5, a: 5}? 5/68 Calculate prob of picking 2 t and 2 r when four letters picked without replacement from rttrrrrrttrtrttrtttt. 132/323 Three letters picked without replacement from hmmibbybhibhyhhhh. Give prob of picking 1 i and 2 b. 3/170 What is prob of picking 1 w and 1 p when two letters picked without replacement from ypepwepwp? 2/9 Three letters picked without replacement from {m: 1, z: 19}. What is prob of picking 1 m and 2 z? 3/20 Calculate prob of picking 2 a when two letters picked without replacement from {n: 4, x: 3, q: 1, a: 2, z: 1}. 1/55 What is prob of picking 1 o and 2 i when three letters picked without replacement from oiooomoemeimo? 3/143 Calculate prob of picking 1 t, 1 o, and 1 x when three letters picked without replacement from {i: 1, t: 9, o: 1, x: 6}. 27/340 Four letters picked without replacement from {c: 2, l: 6, y: 4, v: 1, j: 3}. What is prob of picking 2 j, 1 l, and 1 v? 9/910 Four letters picked without replacement from {n: 6, h: 3, p: 2, a: 2, b: 2, l: 2}. Give prob of picking 1 h, 1 l, and 2 n. 9/238 Two letters picked without replacement from {p: 1, u: 18}. What is prob of picking 2 u? 17/19 Calculate prob of picking 2 c when two letters picked without replacement from cccccccccc. 1 Three letters picked without replacement from eeeeelvveeeelve. Give prob of picking 1 e and 2 l. 2/91 Calculate prob of picking 1 u and 2 p when three letters picked without replacement from jpjpuv. 1/20 Three letters picked without replacement from vusvuhvvxsuuvvuxu. Give prob of picking 1 s, 1 x, and 1 u. 3/85 What is prob of picking 1 s, 2 z, and 1 a when four letters picked without replacement from {z: 2, a: 5, s: 1, f: 1, e: 1}? 1/42 What is prob of picking 3 f when three letters picked without replacement from feffffeffeffff? 165/364 Four letters picked without replacement from xioiisisixos. Give prob of picking 1 i, 2 x, and 1 s. 1/33 What is prob of picking 2 k and 1 v when three letters picked without replacement from {k: 9, j: 1, v: 2, s: 1, o: 6}? 24/323 What is prob of picking 1 c and 1 n when two letters picked without replacement from cksjn? 1/10 Three letters picked without replacement from elelllle. Give prob of picking 3 l. 5/28 Four letters picked without repla
{ "pile_set_name": "DM Mathematics" }
et h(c) = -3*c**2 + 7*c + 10. Let z be h(o). Solve -27 = 2*w + 5*d, -7*w + 2*w - z*d - 25 = 0 for w. -1 Suppose 0*w - 12 = -3*w. Suppose -20*z + 16 = -12*z. Suppose z*k = -b + 33, 0 = k + 4*k - 3*b - 110. Solve -y - 5 = -s, -s = -3*y + w*s - k for y. -3 Let h = 1 - 1. Suppose 0 = 200*u - 110 - 1491 - 399. Solve -b + h*b + u = 3*l, 4*b + 5 = 3*l for b. 1 Suppose s = -d - 6, -s + 6 = -464*d + 463*d. Solve s = 3*t - b + 5, -19*b = -24*b - 20 for t. -3 Let l be 10/8 + (-2 - (-110)/40). Solve l*a - 5*i = -3*i - 4, i + 8 = -4*a for a. -2 Let r(c) = 6*c**2 + 3*c**3 - 2*c**2 + 6*c + 3*c**2 + 5 - 2*c**3. Let q be r(-6). Let a = -37 - -42. Solve -y - 4 = q*u, -a*y - 4*u = 33 - 13 for y. -4 Suppose -24*g + 326 = 170 - 204. Solve -3*v + 3*s = -6, 10*v = g*v - s - 6 for v. 1 Let z be ((-48)/28)/(-6) + (-924)/(-196). Solve 5*u = 4*r + 17, z*r = u + 30 - 25 for r. 2 Let l be -7 - ((-120)/6 + -3). Suppose -57*s + 53*s = -l. Solve v = 2*x - s*v + 6, -4*x + 3*v + 2 = 0 for x. 2 Let o be 1840/456 - (-12)/(-342). Solve 0 = -3*g - x - 5, o*g + x + 4*x + 25 = 0 for g. 0 Let l(g) = -g**3 + 12*g**2 + 12*g - 142. Let z be l(12). Let c = 119 + -119. Solve -3*a = z*m - 1, -3*m - 7*a + 2*a + 2 = c for m. -1 Let h be 1*-4 + (-116)/(-1). Let w = -54 + h. Let l = -56 + w. Solve -2*z = -0*z + 2*b - l, 0 = z - 3*b + 19 for z. -4 Suppose -t + 792 = 773. Solve -2*z + 3*y + t = 0, -z - 4*y + 1 = 8 for z. 5 Let s(l) = -l**3 - 43*l**2 - 307*l - 14. Let u be s(-34). Solve 6*m - 2*m + 5*c = -25, m - u = 4*c for m. 0 Suppose 3*f - 2*v + 452 - 471 = 0, -2*f + v = -11. Solve 31 = -5*n - 2*w, -51 + 65 = -n - f*w for n. -5 Let v be (2 - -122)/((-5 - 1)/(-24)). Suppose -5*u - v + 506 = 0. Solve 5*y = -5*f - 5, 4*f - u*f + 4 = 0 for y. 1 Let l be 1 - 2 - 43 - 0. Let o be (-265)/6 + ((-369)/54)/(-41). Let y = l - o. Solve -3*a - 2 - 10 = -5*t, y = -a - t + 4 for a. 1 Let b(y) = -y**2 + 5*y + 29. Let u be b(7). Solve u = -h - 0*x + 3*x, -2*x + 14 = -2*h for h. -3 Suppose s - 5*s = 136. Let j = 37 + s. Let z = -12 - -13. Solve -z = -h - 4*o, -4*h + j*o + 0 = 15 for h. -3 Let o(w) = 4*w + 13*w**2 + 4 - 4*w - 12*w**2 + 13*w**2 - 6*w. Let j be o(1). Solve 2*n + 5*r - j = 0, -3*n + 6*n - 9 = -3*r for n. 1 Let i = -6 - -5. Let m be -19 + 16 - 0*1/i. Let w be (2/4)/(m/(-18)). Solve 0 = -2*r - 2*n, -w*r - n - 1 = 1 for r. -1 Let g be 72/12 - (1 - -2). Let b be (48/18)/(2/g). Suppose 3*q - 4*q - b*u = 5, 3*q - 3*u - 45 = 0. Solve -3*i - 14 = -4*c, -3*i - 2*c + c + q = 0 for i. 2 Let a(p) = p**2 - 34*p + 68. Let o be a(2). Let t(l) = l. Let u be t(0). Let r = 4 + u. Solve -h - 2 = -3*w - 0, o*w - r*h = -8 for w. 2 Let y be (-1)/2*3*88/(-33). Suppose 12 = 5*x + 2. Solve 15 = -q + x*v + v, q = y*v - 20 for q. 0 Suppose 133*r - 128*r = 195. Let x be 4/2*29/(-2). Let a = r + x. Solve 5*m - 3*u - 25 = -2*u, 4*u = -2*m + a for m. 5 Suppose -u = 2, 0*x + 40 = 4*x + 4*u. Let z be ((-8)/x)/((-2)/12). Suppose 5*i - 4*r + 5*r = 0, -3*r = -5*i. Solve m + i - 1 = z*k, -3*m - 14 = 5*k for k. -1 Let p(f) = -f**2 - 58*f - 307. Let m be p(-6). Solve -3*t + 3*d - 24 = 0, -m*t - 22 = -3*d + 4*d for t. -5 Let o be (-18)/(-2) + 4 - -2. Let a(g) = g**2 - 24*g + 172. Let s be a(12). Solve -t - 5*i = -o, 0 = 4*t - 0*t + 4*i - s for t. 5 Let b(x) = x**3 - 23 - 20 + 48*x - 2 - 25*x**2. Let w be b(23). Let j be ((-14)/21)/((-1)/21). Solve 0 = f - 5*r - 17, 3*r + j = 3*f - w for f. 2 Let r = -8866 + 8891. Solve -m = -c + 2, -21*c - m + 7 = -r*c for c. -3 Suppose 18*a - 19*a = -4*m - 3, 2*a - 3*m - 6 = 0. Solve 3*c - 2*b + 5 = -0*b, -3*c - 6 = -a*b for c. -1 Let q(s) = -2*s**3 - 124*s**2 - 22*s - 1361. Let w be q(-62). Solve -5*i + n + 23 = 0, -w*i + 4 + 21 = 5*n for i. 5 Suppose 3*m + 2*w - 29 = -2*m, 4*m + 3*w = 19. Suppose 4*c - 26 - 78 = 0. Solve -2*d = -h - m, -5*h + 0*d - c = -d for h. -5 Suppose 0 = -34*x + 8052 - 7950. Solve 0 = -g + x, -43 + 13 = -5*f - 5*g for f. 3 Let n = 248 - 246. Suppose -2*j - 4*d = -24, -5*j + d - 5 = -n*d. Solve 6 = 3*v + v + 2*h, 0 = -2*h + j for v. 1 Let k(u) = 52*u - 2073. Let a be k(40). Solve -6*m = -m + p - 13, -a = m - 3*p for m. 2 Let f = 24 - 19. Suppose 14 = 5*d + 3*m, 1 = 4*d + f*m - 5. Solve z + 2*r - 1 = 0, 3*r + 11 = -d*z - 0 for z. -5 Let v(d) = d - 21. Let s be v(13). Let b(i) = -9*i + 13. Let r be b(s). Let o = 85 - r. Solve 5*f + 28 = l, -10 = -o*f + 2*f for l. 3 Suppose v - 2*v = 4*q + 5, 7 = -3*q - 4*v. Let j be q/(63/(-15) - -4). Solve -2*b + 2 = 0, 3*c = j*b + 7 - 3 for c. 3 Suppose 0 = 4*v - 10*v + 450. Let q be ((-6)/9)/((-10)/v). Solve 15 = 5*t - q*y - 5, 3*y + 16 = 4*t for t. 4 Let r be (12 - 19)*(-3 + 2). Suppose -2*j = 4, 9*f - 4*j - 24 = r*f. Solve -5*z + 15 = -5*m, -f*m + 3*m = -2*z + 6 for m. 0 Suppose -14*p - 12*p = 4*p. Suppose p = -39*d - 17 + 95. Solve 0 = -3*k + 2*j - 6, -1 = d*k - 3*j - 2 for k. -4 Suppose -199 = -0*s - 8*s - 55. Suppose 2*z = -2 + 10. Suppose -x = -z*x + 18. Solve -3*y = -4*p - 4, 2*y + s = p + x*y for p. 2 Let h = -27 - -27. Let t(q) = -q**2 + 2*q + 403. Let v be t(21). Solve -4 = x - n, h*x - 16 = x - v*n for x. 0 Suppose 2*p - p - 50 = 3*r, 5*p + 3*r = 178. Suppose -222 + p = -8*o. Let n = o + -18. Solve -2*z - 2*v = v + 16, -n*v = 5*z + 35 for z. -5 Let d be 7258/133 - 54 - (1 + (-48)/14). Suppose 0 = -2*i - 3*i + 30. Solve -i = 2*f, 2*c + d*f = -10 - 1 for c. -1 Suppose -3*h - 40*h + 1065 = 850. Solve -43*i - 3*u = -38*i + h, i + 8 = -2*u for i. 2 Let p(z) = 31*z + 312. Let m be p(-10). Suppose -u + 2 = -w - m, 0 = -3*u + 4*w + 11. Solve -2 - 2 = 2*k, -u*k = -2*j + 20 for j. 5 Suppose 3*u - x - 12 = 0, 0 = 11*u - 7*u - 4*x. Solve -11 = 5*q - a + 13, q = -a - u for q. -5 Suppose 0 = 29*i - 7*i - 12*i. Let g = 2 - 2. Let z = g - -3. Solve 5*t - 4*b + 3*b + 24 = i, -4*t + z*b = 28 for t. -4 Let x be (-2 - -8 - 7 - (-2 - 4)) + 0. Let w = -19 - -19. Solve -x*o = 25, 5*l - 4*o - 5 - 25 = w for l. 2 Let q(o) = 639*o + 5113. Let b be q(-8). Solve d - 4 = -4*w, 4*d + b = -4*w + 17 for d. 4 Suppose 0 = -240*k + 239*k + 1. Suppose 2*h - 17 = h - 5*j, -4*h + 3*j - k = 0. Solve -h*y + f - 6*f = 20, 15 = -5*y + 5*f for y. -5 Let o = -71 + 108. Let z = -26 + o. Suppose -z*g = -12*g + 5. Solve y = 0, -2*u + 5*y = 3*u + g for u. -1 Let o(v) = 6*v + 83. Let z be o(-13). Solve 8*x - z*x - 3*c - 21 = 0, 0 = -5*x + c + 27 for x. 5 Let f(i) = 30*i - 42. Let r be f(-8). Let b = r - -286. Solve -b*n - n - 5*s = 15, n = s - 5 for n. -4 Let v(b) = -2*b**3 + 16*b**2 - 2*b + 32. Let i be v(8). Let w(s) = -s**2 + 17*s - 14. Let z be w(i). Solve 0 = -c + 4, z*g = -3*c + c + 8 for g. 0 Let h(i) = 14*i - 137. Let t be h(10). Let x = -132 + 140. Solve x = -4*w, 0*f - 2*w - 7 = -t*f for f. 1 Let a = -11 + 14. Suppose 5*x + 5*u - 10 = 0, 4*x + u - 2 = a*u. Let p be (x - -3 - 3)*(4 + 0). Solve 5*c + j + 14 = 0, -c - p*c - 18 = 2*j for c. -2 Suppose -203 = -5*k + 3*w, 3*k + k - 2*w - 164 = 0. Let h = -40 + k. Solve 5*q + 7 = f, -f - 5*q - 9 = -h*f for f. 2 Let d(u) = -9*u + 87. Let y be d(8). Suppose y = 7*b - 2*b. Solve -4*h + b*r + 20 = r, 5*r + 20 = 0 for h. 3 Suppose 7*s - 154 = 406. Suppose y - s = -0*k - 5*k, -2*y + 48 = 3*k. Solve -4*z - 2*b = k, 0*b - b + 4 = -z for z. -4 Suppose 5578*m - 276 = 5532*m. Solve -m*c + 4*c + a - 11 = 0, 5*a = 15 for c. -4 Let a(h) = -h**2 + 9*h + 38. Let f be a(31). Let d = -644 - f. Solve -6 = 2*m, d = 4*t - 2*m + m + 17 for t. -5 Let x(b) = b**3 + 65*b**2 + 146*b + 5252. Let n be x(-64). Solve o - 369 + 358 = -4*v, -5*v = n*o for v. 4 Let m(o) = -24*o - 182. Let h be m(-8). Suppose 86 - 226 = -h*d. Solve -4*u + 4 = -4*n, -2*n + u - 3*u = d for n. -4 Suppose 0 = -35*a + 40*a + 5*x - 15, -5 = a + 5*x. Suppose -4*v + 2*l = 2, -5*v + 4 = -4*l + 8. Let m = 16 - 1. Solve -m = -3*y + 3*r - v, -5*r = a for y. 4 Suppose -a = -5*x - 22, 1657*a - 1659*a - 2*x - 4 = 0. Solve 12 = -5*l - 2*q, 4*l - a*l + q + 4 = 0 for l. -4 Suppose 177*p - 4833 = 123. Solve 4*a = -3*b + p, 7*b + 5*a - 32 = 4*b for b. 4 Suppose q = -3*l + 61, 116*l = 117*l + q - 21. Solve 0 = 5*u - 5*g, l = 2*u + u + g for u. 5 Let j be (-4 + 0 - -5)/(1/3). Suppose -a = h + 3, -h + 3 + j = -2*a. Solve h*n = 2*b - 2*n, 0 = -3*b + 2*n for b. 0 Suppose -4*p = 2*a + 10, -a = -0*a + 5. Suppose k - 9*k + 56 = p. Suppose k*v = -4*v + 22. Solve -v*f - 3*x + 15 = 0, 2*x = f + 9 + 1 for
{ "pile_set_name": "DM Mathematics" }
h be 933/6 - (828/24 - 35). Calculate the highest common divisor of m and h. 39 Let w(g) = g**2 + 21*g + 105. Let o(a) = a**2 - 50*a + 134. Let k be o(47). Let y be w(k). What is the highest common factor of y and 357? 7 Suppose 334 = z + 4*c + 78, 5*z = 3*c + 1280. Let r = -28 - -44. What is the highest common divisor of z and r? 16 Suppose -1 = -2*v + 5*n, -5*v = -4*v + 3*n - 17. Let q be 3*(9/6 + -2)*-18. Let s = 29 + q. What is the highest common factor of s and v? 8 Suppose 2261*j - 2307*j + 796720 = 0. Calculate the greatest common factor of 40 and j. 40 Let u = -1323 - -1351. Let o(k) = -5*k**2 + 2*k + 1. Let f be o(2). Let i be f*4/(-24)*u. Calculate the highest common divisor of 28 and i. 14 Let x be 124/6 - 16/(-12). Suppose 4*s = -2*c + x, -s - 28 = -4*c + 16. Calculate the highest common divisor of 220 and c. 11 Let u be (-1 - -3) + -4 - 285. Let m be (-100)/(-14) + 41/u. What is the highest common factor of m and 231? 7 Let z = -35 + 38. Suppose -z = p - 12. Let n(f) = 4*f - 18. Let c be n(p). What is the highest common divisor of c and 72? 18 Suppose -830*s = -832*s + 4170. Calculate the greatest common factor of s and 45. 15 Let w(h) = -295*h + 339. Let m be w(1). What is the greatest common factor of m and 6875? 11 Suppose 23*x - 1238 = 533. Suppose x - 51 = 2*y. What is the greatest common divisor of y and 403? 13 Let m = 5619 - 2794. What is the greatest common divisor of 226 and m? 113 Suppose 5*w - 5*j + 405 = 0, -3*j = j + 8. Let s = 288 + -196. Let v = w + s. What is the highest common factor of 12 and v? 3 Let l(x) = x**3 + 5*x**2 + 2*x + 16. Let q be l(-5). Suppose -i + 4*i - 3*z = 222, -3*z + q = 0. What is the highest common divisor of i and 152? 76 Let w = 32 + -48. Let i be 1*4/(w/124). Let s = i + 34. What is the greatest common divisor of 3 and s? 3 Suppose 0 = 2*j + b + 159, 2*j - 3*b + 177 = 30. Let h be (25/15)/(-5)*j. Suppose h + 214 = 6*u. What is the highest common divisor of u and 30? 10 Suppose -525 = -4*t - t. Let h = -1402 - -758. Let r = 659 + h. What is the highest common factor of r and t? 15 Suppose 11*r = 16*r - 3*l - 3120, 2*r - 2*l = 1244. What is the greatest common factor of r and 55? 11 Let r(t) = t**3 - 5*t**2 - 65*t - 9. Let w be r(11). Let k be ((-8)/(-10))/(1197/595 - w). What is the highest common divisor of 34 and k? 34 Let z be (-22 - -29)*(-1 - -5). Let n(x) = x**3 + x**2 - 3*x + 7. Let w be n(-7). Let q = w + 462. Calculate the highest common factor of q and z. 28 Suppose 0 = a - u + 4*u - 24, -2*u = -3*a + 116. Let n be (-4)/a + (-25926)/(-54). What is the greatest common factor of n and 12? 12 Suppose -3*l = 7*l - 640. Suppose -l*a - 7 = -583. Let o(x) = 14*x**2 + 2*x - 1. Let j be o(1). Calculate the highest common factor of j and a. 3 Let z be (-8)/(2*(-5)/10). Let f be z/((2/9)/(1/9)). Suppose -f*x + 332 = 20. Calculate the greatest common divisor of x and 52. 26 Let x = -73 - -83. Let k(r) = -r + 30. Let s be k(x). Let n = s + 56. What is the greatest common factor of n and 38? 38 Let z = -2931 - -3057. What is the highest common factor of z and 306? 18 Let a = 15520 + -12486. Calculate the greatest common divisor of 82 and a. 82 Suppose 3*t - 8*t = -15. Let r be (-3)/((-12)/128) - t. Suppose -3*d - 5 = -r. Calculate the highest common divisor of 64 and d. 8 Suppose 3*u - 3*n = 3003 + 9003, u = -22*n + 3933. What is the greatest common factor of u and 258? 129 Let a = 22719 - -10090. Calculate the greatest common factor of a and 86. 43 Suppose -5*v + 914 = 779. What is the highest common divisor of v and 387? 9 Let w be (-2)/(-5) - 928/(-80). Suppose w*z - 768 = 4*z. What is the greatest common factor of z and 48? 48 Suppose 23515 = 7*j + 16459. Calculate the greatest common factor of j and 45. 9 Let y = 205 - 142. Let i = -1305 - -1410. Calculate the greatest common factor of y and i. 21 Let y be 13 + (6 + 4)/5. Let s = 54 + y. Calculate the greatest common divisor of s and 23. 23 Let w(k) = -143*k + 1692. Let u be w(9). What is the highest common divisor of u and 225? 45 Let x = -2610 - -2625. Suppose 3*i = 7 - 1. Suppose -i*y - y - 672 = -4*p, -5*p + y + 829 = 0. What is the greatest common divisor of x and p? 15 Suppose 0*l + 4*l - 3*a = 21, -4 = -4*a. Let v be (3/l)/((-7)/56). Let q be v - ((-392)/63 + 6/27). Calculate the highest common divisor of q and 5. 1 Suppose 4*x - 5*r = -2492, -8*r = -9*r. Let v = x + 733. Calculate the greatest common factor of v and 10. 10 Let q = 5 - -15. Suppose 4*l + 46 = b, -3*l - l + q = 0. Suppose 0 = 3*m + 2*g - b, m = 5*g + 50 - 11. What is the greatest common factor of 3 and m? 3 Let b = 1063 - 958. What is the greatest common divisor of 875 and b? 35 Suppose 0 = -d - c + 180, -4*d + 14*c = 15*c - 735. What is the greatest common factor of 40 and d? 5 Suppose 5*u = 190 + 60. Let j be (-2)/(((-36)/438)/(-3))*-105. Let s be j/385 - -2*(-1)/(-22). What is the greatest common factor of s and u? 10 Suppose -1626 = -30*b + 3474. Suppose -9*f + 145 = -b. Calculate the greatest common factor of f and 21. 7 Suppose -11*s = -18*s + 28. Let g(u) = u**2 + 5*u - 14. Let v be g(s). Calculate the greatest common divisor of v and 143. 11 Let g(y) = -873*y - 3484. Let p be g(-4). Let o = 48 - 68. Let k = p - o. What is the highest common divisor of 4 and k? 4 Suppose -1155 = -0*t - 3*t. Let g = 254 - 254. Suppose -4*b = -3*n + 89, 0 = -3*n - g*b + 5*b + 85. What is the highest common factor of n and t? 35 Let k be ((-60)/(-36))/(((-70)/72)/(-7)). Suppose a - 2 = 3. Suppose -a*c + 7*c - 24 = 0. What is the greatest common factor of c and k? 12 Let v = 0 + 2. Let w be -4*(v + (-36)/16)*5. Calculate the greatest common factor of 55 and w. 5 Let g(u) = u**3 + 60*u**2 - 82*u - 958. Let t be g(-61). Calculate the highest common divisor of 285 and t. 19 Let i(c) = c**2 - 3*c - 63. Let v be i(0). Let n = 51 + v. Let h be (n/(-7))/((-316)/(-308) - 1). Calculate the greatest common divisor of 11 and h. 11 Suppose 2*h - 559 = x, 2*h - 5*x - 1115 = -2*h. Suppose -2*u = 3*u - h. What is the greatest common divisor of u and 24? 8 Let g be (-6)/(-9) - 0 - (-370)/111. Suppose 5 = 4*j + 2*a - 41, j - 3*a = 1. What is the greatest common factor of j and g? 2 Suppose -37*k + 4347 = 72*k - 40*k. Calculate the highest common divisor of k and 2037. 21 Let a be -46*(-10)/3 + (-64)/48. Let k = -62 + a. What is the highest common factor of k and 18? 18 Suppose 4*y - 24*r = -22*r - 1002, 253 = -y + r. Let g be (-126)/(-105) - y/10. What is the greatest common factor of g and 962? 26 Suppose -1156*w = -1151*w - 15. Let f be ((-3)/(-4))/(w/48). What is the highest common divisor of 192 and f? 12 Suppose -4*l - 5*d + 38 = 0, -40 = -28*l + 25*l + 2*d. What is the highest common divisor of l and 1668? 12 Suppose 0 = d + q - 21, -q = 4*d + 23 - 116. Calculate the highest common factor of 312 and d. 24 Suppose -369 = -5*z + 2*p, -z - 46*p = -41*p - 90. Calculate the highest common divisor of z and 1485. 15 Let u(g) = 40*g + 346. Let y be u(-8). Calculate the greatest common factor of 5720 and y. 26 Suppose -j - 37*u + 36 = -42*u, j - 2*u - 27 = 0. What is the highest common divisor of 624 and j? 3 Let i(t) = 17*t - 31*t - 2*t**2 + 14*t + 15 + 11*t. Let k be i(-12). Let c be 10/15*k/(-6). Calculate the greatest common divisor of c and 9. 9 Suppose -3*q - 2*m + 33 = 0, -4*q - 3*m + 5*m = -30. Suppose q*t - 8*t = 25. What is the highest common factor of t and 5? 5 Let w be (-1)/(1/2*20/(-20)). Suppose -5*a - 4*r + 430 = r, w*a - 202 = 4*r. Calculate the highest common divisor of 13 and a. 13 Let o(w) = 49*w**2 - 39*w + 74. Let l be o(2). Let j be -11 - l/(-16) - (0 + -5). What is the greatest common factor of 48 and j? 6 Suppose -3 = d - 8. Let c(u) be the first derivative of 11*u**2/2 - 6*u + 1175. Let q be c(d). Calculate the highest common factor of q and 7. 7 Suppose 81*n = -16*n + 18*n + 3792. Let f(g) = g**2 - g + 256. Let t be f(0). Calculate the greatest common factor of t and n. 16 Suppose 302*i - 528 = 290*i. Suppose 0 = 6*t - t - 15. Suppose b - 16 = -10*s + 5*s, -5*b - t*s = -58. Calculate the highest common factor of i and b. 11 Suppose v = 27 + 65. Suppose -19*w + 252 = -185. What is the highest common factor of v and w? 23 Let s be (((-180)/(-8))/15)/((-2)/(-12)). Suppos
{ "pile_set_name": "DM Mathematics" }
**5/5 + 3*u**4/4 - 9*u**2/2 - 80*u - 13. Give 9*d(p) + 2*l(p). 37*p**3 Let i(y) = 20*y**3 + y**2 + 33*y + 69. Let h(r) = 11*r**3 + r**2 + 16*r + 42. Calculate 5*h(d) - 3*i(d). -5*d**3 + 2*d**2 - 19*d + 3 Let o(s) = 2504*s**3 - 8*s**2 + 10*s. Let z(n) = -1250*n**3 + 3*n**2 - 4*n. What is 2*o(p) + 5*z(p)? -1242*p**3 - p**2 Let m(z) = z**2 + z - 17. Let v(q) = -205*q**2 - 6*q + 52. Give -3*m(s) - v(s). 202*s**2 + 3*s - 1 Let k(p) = 2*p**2 + 5*p - 4. Suppose 0 = 3*q - 16 - 5. Let t(c) = c**3 - 7*c**2 + 6. Let g be t(q). Let j(r) = -1 + 3*r - g*r + 4*r. Give 3*j(f) - k(f). -2*f**2 - 2*f + 1 Let l(v) = 17*v + 3. Let w(c) = -6*c - 1. Let i = 53 - 51. Let z be 2*i + (-50)/50. What is z*l(n) + 8*w(n)? 3*n + 1 Let h(q) = -7*q**2 + 115. Let w(m) = -12*m**2 + 117. Give -3*h(d) + 2*w(d). -3*d**2 - 111 Let l(m) = -45*m**2 + 3*m. Let f(v) = 45*v**2 - 1710*v + 826*v + 880*v. Determine 3*f(j) + 4*l(j). -45*j**2 Let z = 3741 - 3777. Let b(d) = d**2. Let l(j) = -42*j**2. Calculate z*b(m) - l(m). 6*m**2 Let v = -30 - -43. Let z(o) = -v - 1 + 2*o - 6*o. Let w(i) = 1. Let r = 14072 + -14084. What is r*w(c) - z(c)? 4*c + 2 Let o(h) = 2*h**2 + 1160*h + 3. Let g(t) = -4*t**2 - 1160*t - 4. Determine 2*g(n) + 3*o(n). -2*n**2 + 1160*n + 1 Let n(g) = 22*g - 5652. Let d(r) = -34*r + 8510. Give -5*d(u) - 8*n(u). -6*u + 2666 Let n(i) = -3*i**2 + 6*i - 2. Let o be 9/(-21) + (27 - 3956/161). Let r(l) = -4*l**2 + 5*l - 2. What is o*n(k) - 3*r(k)? 6*k**2 - 3*k + 2 Let x(m) = m**2 + 8*m - 1. Let q(k) = -9*k**2 - 57*k + 2. Give -q(s) - 7*x(s). 2*s**2 + s + 5 Let o(q) = q**3 + 1. Suppose -50*d + 402 = -48*d. Let k = d + -208. Let v(t) = -4*t**3 - 3. What is k*o(h) - 2*v(h)? h**3 - 1 Let i(d) = 2*d**3 + 2*d**2 + 7*d. Let m(v) = 3*v**3 + 2*v**2 + 6*v. Let u(r) = 6*r**2 + 43*r + 13. Let k be u(-7). Determine k*i(s) - 7*m(s). -9*s**3 - 2*s**2 Let i(q) = q - 1. Let f(l) = l - 14. Suppose 0 = -47*c - 75*c + 122. What is c*f(j) - 3*i(j)? -2*j - 11 Let x(b) = -65*b**2 - 11*b - 18. Let f(q) = 64*q**2 + 9*q + 14. Determine 7*f(s) + 6*x(s). 58*s**2 - 3*s - 10 Suppose 14 = -13*t + 14*t - 2*g, -3*t + 30 = -3*g. Let w(f) = -f**2 - f - 1. Let n(z) = 5*z**2 + 3*z + 8. What is t*w(j) + n(j)? -j**2 - 3*j + 2 Suppose 120 - 12 = 27*u. Suppose 9 = -2*w + 5, -u*l + 12 = -4*w. Let c(s) = -s + 2 + 0*s - 4*s. Let h(b) = -b. Give l*c(z) - 4*h(z). -z + 2 Let j(k) be the second derivative of 2*k**5/5 - k**4/6 + k**3/3 + k**2 - 24*k + 2. Let y = -15 + 16. Let l(x) = x**3 - x**2 + x + 1. Give y*j(f) - 2*l(f). 6*f**3 Let m(t) = -440*t**2 - 2*t - 2. Let z(v) = -443*v**2 - 2*v - 3. Determine -4*m(o) + 3*z(o). 431*o**2 + 2*o - 1 Let c = -8791 + 8792. Let y(h) = h**3 + h + 1. Let s(f) = 414*f**3 + 345*f + 345. What is c*s(n) - 345*y(n)? 69*n**3 Let a(y) = -2*y**3 - 5*y**2 - 204*y + 4. Let j(o) = -2*o**3 - 6*o**2 - 203*o + 5. Give 3*a(n) - 2*j(n). -2*n**3 - 3*n**2 - 206*n + 2 Let z(n) = -n**3 + n**2 + 1. Let p(i) = 3*i**3 + i**2 + 2. Suppose -4*l = -4*l - l - 1. Determine l*p(x) + z(x). -4*x**3 - 1 Let f(t) be the first derivative of -11*t**4/4 + 11*t**3/3 + t**2/2 + 5*t + 222. Let c(j) = -5*j**3 + 5*j**2 + 2. Determine 5*c(q) - 2*f(q). -3*q**3 + 3*q**2 - 2*q Let c(p) = 2*p**2 + 6*p - 10. Let i(b) = -3*b**2 - 7*b + 12. Let g(d) = 5*c(d) + 4*i(d). Let h(l) = -2*l**2 + l - 2. What is 4*g(a) - 5*h(a)? 2*a**2 + 3*a + 2 Let v(n) = -3*n**2 + n - 1. Let y(w) = -5*w + 17. Let l be y(5). Let a(m) = -13*m - 103. Let t be a(l). Let f(c) = c**2 - c + 1. Calculate t*f(s) + v(s). -2*s**2 Let y be -4 + (-12 + 8 + 7 - 5). Let q(s) = -7*s**3 - 4*s - 1. Let c(z) = 6*z**3 + 3*z + 1. What is y*c(x) - 4*q(x)? -8*x**3 - 2*x - 2 Let d(z) = 5*z. Let u(h) = 16*h - 9. Calculate -8*d(t) + 3*u(t). 8*t - 27 Let n(t) = 72*t**2 - 36*t + 39. Let f(z) = -130*z**2 + 65*z - 70. Let u(w) = -11*f(w) - 20*n(w). Let x(m) = -7*m**2 + 3*m - 7. Calculate -5*u(b) + 7*x(b). b**2 - 4*b + 1 Let c(v) = -567*v + 3973. Let y be c(7). Let g(i) = 3*i**2 + 3*i**2 - 5*i**2 + 6*i - 5*i. Let w(r) = -2*r**2 + r. Give y*g(a) + w(a). 2*a**2 + 5*a Let n(g) = g**3 + 59*g**2 + 353*g - 579. Let t be n(-52). Let f(j) = 2*j**2 - 6*j + 1. Let s(x) = -4*x + 11*x - 2*x**2 - 2 + 0*x**2. What is t*f(m) - 6*s(m)? -2*m**2 + 5 Let g(m) = -20*m + 2. Suppose 5 = h - 0. Let p(y) = 3*y**2 + 27*y + 72. Let z be p(-5). Let s(t) = 8*t - 1. What is h*g(x) + z*s(x)? -4*x - 2 Let h(s) = 7*s - 2. Let o = -4 - -7. Let f(a) = -12413 + 24822 - 6*a - 12410 + 10*a. Give o*h(d) - 5*f(d). d - 1 Let q(s) = s**3 + s**2 - s. Let x(v) = -234 + 2*v - 4*v**3 - 2*v**2 - 239 + 446. Determine -2*q(y) - x(y). 2*y**3 + 27 Let q(r) = -4*r + 7. Let h(m) = -m - 1. Let d(x) = -2*x - 4. Let g(i) = d(i) - 3*h(i). Suppose 153 = -4*b + 25. Let p = -27 - b. Give p*g(l) + q(l). l + 2 Let b(j) = 3*j**3 + 6*j**2 - 1436*j - 7. Let w(s) = -2*s**3 - 4*s**2 + 957*s + 5. Give -5*b(n) - 7*w(n). -n**3 - 2*n**2 + 481*n Suppose 20 = -56*l + 188. Let a(f) be the second derivative of f**4/12 - f**3/3 - f**2 + 5*f. Let y(w) = -2*w**2 + 2*w + 2. What is l*y(c) + 4*a(c)? -2*c**2 - 2*c - 2 Let t(g) = -10*g**3 - 3*g**2 - 32*g - 5. Let s(h) = -9*h**3 - 2*h**2 - 32*h - 3. Determine -3*s(n) + 2*t(n). 7*n**3 + 32*n - 1 Let f = 6136 + -6135. Let l(m) = m. Let v(j) = 14*j. What is f*v(a) + 7*l(a)? 21*a Suppose -108 = -4*r + 8*r. Let c(p) be the third derivative of -5*p**4/24 + p**3/3 + 97*p**2. Let o = 7 + -9. Let h(x) = 66*x - 27. Calculate o*h(s) + r*c(s). 3*s Let u(r) = 2742*r + 38. Let l(f) = -916*f - 11. Calculate -7*l(s) - 2*u(s). 928*s + 1 Let g(y) = 3*y + 9. Let d(w) = 2*w + 6. Let k = 380 - 385. Let x(j) = k*g(j) + 7*d(j). Let p(i) = -i - 4. What is 5*p(f) - 6*x(f)? f - 2 Let y(h) = 537*h**2 + 6. Let q(a) = -2688*a**2 - 33. Calculate -4*q(s) - 21*y(s). -525*s**2 + 6 Let y(o) = -7*o**2 - 7*o + 216. Let u(n) = 6*n**2 + 6*n - 197. What is 5*u(h) + 4*y(h)? 2*h**2 + 2*h - 121 Let w(j) = 26*j + 14. Let a(o) = -9*o - 5. Let z be (-6)/6 + 14 + ((-46)/(-184) - (-18)/(-8)). Suppose i - 12 = -2*i. Calculate i*w(h) + z*a(h). 5*h + 1 Let t(a) = 11*a**2 - 5. Let m = 6266 - 6268. Let w(l) = -1. Give m*t(s) + 10*w(s). -22*s**2 Let y(f) = f - 3. Let k = 3856 + -3851. Let o(q) = -2*q + 7. What is k*y(a) + 2*o(a)? a - 1 Let p(l) = -l**2 + 4*l - 4. Let a(c) = 36*c**2 - 4*c - 1. Let y(i) = -43*i**2 + 5*i + 1. Let x(n) = 6*a(n) + 5*y(n). Calculate -p(b) + 4*x(b). 5*b**2 Let r(k) = -105*k - 840. Let w(d) = -6*d - 50. Let y(x) = -5*r(x) + 84*w(x). Let o(g) = 53*g + 63*g + 10 - 10. Give -5*o(m) + 28*y(m). 8*m Let d(o) = 11208394*o - 14992. Let c(b) = 3738*b - 5. What is 14992*c(h) - 5*d(h)? -1874*h Let r(y) be the first derivative of -6*y**2 - 25*y + 320. Let u(l) = -3*l - 6. Calculate 2*r(c) - 9*u(c). 3*c + 4 Let v(c) = -21 - 23 - 33 - 25 + 96. Let l(r) = r + 1. What is 2*l(k) + 2*v(k)? 2*k - 10 Let t(y) = -17*y**2 - 17*y - 13. Let m be (-9)/(-24) - 1/(32/844). Let j(i) = -4*i**2 - 4*i - 3. Determine m*j(w) + 6*t(w). 2*w**2 + 2*w Let d(j) = 16*j**2 - 19*j - 11. Let a(c) = c**2 - 5*c + 4. Let b be a(3). Let k(q) = -6 - 3 + 17 + 1 + 4*q - 7 - 3*q**2. Give b*d(r) - 11*k(r). r**2 - 6*r Let c(v) = v**3 + v**2 + 1. Let x = -323 - -291. Let o = x - -33. Let m(s) = 3*s**3 + 2*s**2 + 2. Give o*m(n) - 2*c(n). n**3 Let j(n) = -83*n + 1097. Let d(c) = 29*c - 365. Determine -17*d(p) - 6*j(p). 5*p - 377 Let l(h) = -4*h**3 + 7*h**2 + 443*h + 18. Let d(s) = -2*s**3 + 4*s**2 + 221*s + 10. Calculate -7*d(z) + 4*l(z). -2*z**3 + 225*z + 2 Let c(v) = -6*v + 3. Let h(y) = 2. Let u(x) = c(x) - 4*h(x). Suppose -244 = -3*m - m. Let f(k) = -63 + m - 3*k + 0*k. Calculate -5*f(q) + 2*u(q). 3*q Let w(v) = 1053*v**2 - 4*v - 12. Let u(p) = -11583*p**2 + 45*p + 135. Give 4*u(h) + 45*w(h). 1053*h**2 Let v(a) = -5*a**2 - 2. Let b(f) = -33*f**2 - 601*f - 12. Give -b(j) + 6*v(j). 3*j**2 + 601*j Let z be -3 + 20/28*7. Let f(s) = 4*s**2 + 8. Let p(v) = v**2 + 1. Determine z*f(w) - 6*p(w). 2*w**2 + 10 Let z(s) = 11*s**2 + 8*s + 76. Let g(t) = 4*t**2 + 3*t + 26. Give 8*g(k) - 3*z(k). -k**2 - 20 Let t(h) = -133*h**3 + 35*h**2 + 35*h - 273. Let w(l) = -22*l**3 + 6*l**2 + 6*l - 47. What is 6*t(f) - 35*w(f)? -28*f**3 + 7 Let f(w) = 647*w - 7. Let r(q) = -974*q + 12. Calculate 8*f(h) + 5*r(h). 306*h + 4 Let o(n) = 548*n**2 + 13*n + 855. Let a(j) = -183*j**2 - 4*j - 311. Calculate 11*a(b) + 4*o(b). 179*b
{ "pile_set_name": "DM Mathematics" }
and 1982. 991 Calculate the greatest common factor of 2146582 and 5358. 38 What is the greatest common factor of 3751116 and 57408? 276 What is the greatest common factor of 244650 and 6757? 233 Calculate the highest common divisor of 546062 and 2585. 11 What is the greatest common divisor of 4209015 and 990? 15 What is the greatest common factor of 2556 and 37891138? 142 What is the highest common divisor of 5877928968 and 12? 12 What is the greatest common divisor of 368424 and 9218856? 1032 Calculate the greatest common factor of 28280 and 736088. 808 Calculate the highest common divisor of 12397819 and 58. 29 What is the greatest common divisor of 15 and 100615805? 5 What is the highest common divisor of 23 and 156753257? 23 Calculate the greatest common factor of 279384 and 37527. 21 What is the highest common factor of 330 and 1906990? 10 Calculate the highest common divisor of 1445 and 63374521. 289 What is the greatest common divisor of 83 and 781971552? 83 What is the highest common divisor of 9485 and 181195749? 1897 Calculate the highest common divisor of 6500 and 88465. 65 Calculate the highest common factor of 968 and 609592. 8 Calculate the highest common factor of 7208406 and 1703. 131 What is the greatest common factor of 537992574 and 16184? 4046 What is the greatest common divisor of 526709799 and 99? 99 What is the greatest common factor of 4507400 and 25265? 155 Calculate the highest common divisor of 1985704 and 8968. 472 What is the highest common divisor of 4672580 and 4180? 220 What is the greatest common divisor of 582988 and 308? 28 What is the greatest common factor of 1419200 and 222400? 1600 Calculate the greatest common factor of 300 and 112565500. 100 Calculate the greatest common factor of 483795 and 24. 3 What is the highest common factor of 4531985423 and 427? 427 What is the highest common divisor of 4439 and 1518? 23 Calculate the greatest common divisor of 1101447 and 1403. 23 What is the highest common factor of 69755344 and 1317? 439 Calculate the greatest common factor of 672 and 23209760. 224 Calculate the greatest common factor of 29988104 and 17665. 3533 Calculate the greatest common divisor of 7684833 and 39. 39 What is the greatest common factor of 16 and 84236? 4 Calculate the greatest common factor of 142 and 20874071. 71 What is the highest common divisor of 10059595 and 1365? 455 What is the greatest common factor of 1664663 and 924? 77 Calculate the highest common factor of 21616 and 1487440. 16 What is the greatest common divisor of 1058330 and 7280? 910 Calculate the highest common divisor of 35604 and 603. 9 What is the highest common factor of 50 and 404050070? 10 What is the greatest common divisor of 3737192 and 646384? 4552 What is the greatest common divisor of 72062975 and 254? 127 Calculate the greatest common divisor of 34692 and 90888. 84 Calculate the highest common divisor of 1712337 and 31141. 209 Calculate the greatest common divisor of 180 and 54974460. 60 What is the highest common factor of 98784621 and 2952? 369 Calculate the highest common divisor of 639 and 3248463. 213 What is the greatest common divisor of 217005093 and 18? 9 Calculate the greatest common factor of 3968 and 228559528. 248 Calculate the highest common factor of 29913863 and 49. 49 Calculate the greatest common divisor of 47781016 and 12026. 1718 Calculate the highest common factor of 30049902 and 95274. 1206 Calculate the greatest common divisor of 80880 and 2866200. 120 What is the greatest common factor of 49 and 17201219? 7 What is the greatest common factor of 1574433 and 42813? 603 Calculate the highest common divisor of 136 and 1718768. 136 What is the greatest common divisor of 219003 and 125985? 111 What is the greatest common divisor of 671322120 and 72? 24 What is the highest common divisor of 40 and 191537080? 40 Calculate the highest common factor of 927095 and 15028. 221 What is the greatest common divisor of 18224 and 17912? 8 Calculate the greatest common divisor of 52164855 and 135. 45 Calculate the highest common divisor of 1642333 and 901208. 5929 What is the greatest common factor of 152399 and 3743? 19 Calculate the highest common divisor of 53189227 and 65. 13 What is the highest common factor of 496 and 11761803? 31 What is the greatest common factor of 22737 and 209649? 33 What is the highest common factor of 588190283 and 14138? 7069 Calculate the highest common divisor of 39 and 88516012. 13 Calculate the greatest common divisor of 249 and 15684178. 83 Calculate the greatest common divisor of 3348806 and 4030. 62 Calculate the greatest common divisor of 499741200 and 11332. 11332 Calculate the greatest common divisor of 20 and 5900090. 10 What is the greatest common factor of 19809 and 19667? 71 Calculate the highest common divisor of 220 and 910856980. 220 What is the greatest common factor of 36009 and 16220054? 4001 What is the highest common factor of 267018 and 400718? 382 Calculate the greatest common divisor of 23828161 and 34937. 1127 Calculate the greatest common factor of 624 and 30730206. 78 Calculate the highest common factor of 492962334 and 114. 114 Calculate the highest common factor of 779464 and 50344. 1736 What is the highest common factor of 1311 and 279194056? 437 What is the greatest common divisor of 5355521 and 538? 269 Calculate the greatest common factor of 273 and 6128759. 91 What is the highest common divisor of 2809013 and 5336? 23 What is the greatest common divisor of 1591094 and 46? 46 Calculate the greatest common factor of 44770 and 5572570. 370 Calculate the greatest common factor of 24719 and 46493. 19 Calculate the highest common factor of 1509 and 254272033. 503 Calculate the greatest common divisor of 59159695 and 14. 7 Calculate the greatest common factor of 53040 and 42028080. 4080 What is the highest common factor of 7680 and 91680? 480 What is the highest common factor of 2232320 and 545? 545 What is the highest common factor of 219853 and 703933? 2017 What is the highest common divisor of 26257 and 76307? 77 What is the highest common divisor of 20800 and 93908800? 1600 Calculate the highest common divisor of 104690880 and 70. 70 What is the highest common factor of 238 and 302946? 14 Calculate the greatest common factor of 2651120 and 5177. 31 What is the highest common divisor of 35177 and 858023? 29 Calculate the greatest common divisor of 14592 and 1459371. 57 What is the highest common factor of 2522307 and 27811? 137 What is the highest common divisor of 152 and 390145126? 38 Calculate the highest common divisor of 15 and 24430905. 15 What is the greatest common divisor of 246344 and 439264? 2968 Calculate the greatest common divisor of 880 and 21993620. 220 Calculate the highest common factor of 580 and 14707495. 145 What is the highest common factor of 192 and 5548818? 6 What is the highest common factor of 1794 and 59501? 299 Calculate the greatest common factor of 352884 and 798. 42 What is the highest common factor of 226753657 and 143? 13 What is the greatest common factor of 6 and 22195146? 6 Calculate the greatest common factor of 162927 and 93267. 387 What is the highest common factor of 3237 and 4610733? 249 Calculate the highest common factor of 7030 and 161912. 74 Calculate the highest common divisor of 5028265638 and 226. 226 What is the greatest common factor of 526623 and 12426? 57 Calculate the greatest common factor of 2562175 and 15400. 1925 What is the highest common factor of 27 and 70955694? 9 What is the greatest common factor of 91342369 and 535? 107 What is the highest common divisor of 1279329 and 552? 69 Calculate the greatest common factor of 330 and 993795. 165 What is the greatest common factor of 56 and 767606? 14 Calculate the highest common divisor of 156898273 and 963. 107 Calculate the greatest common divisor of 22482028 and 12204. 452 What is the greatest common divisor of 4887846 and 1351224? 6894 Calculate the greatest common factor of 39204 and 181379. 121 What is the greatest common factor of 298311 and 61269? 39 What is the greatest common divisor of 284297 and 286520? 247 What is the greatest common factor of 27776973 and 4662? 777 Calculate the greatest common divisor of 432 and 3549322
{ "pile_set_name": "DM Mathematics" }
- 4 = -3*u. Let f = u + -7. Suppose -q + 3*v = 4*q - 63, v - f = 0. Does 6 divide q? False Suppose -118 + 32 = -2*f. Let x = f - 22. Is 6 a factor of x? False Suppose 0*z - 2*z + 8 = 0. Let f(a) = 7 + 1 - 16 + z*a. Does 8 divide f(6)? True Let g be 5/(-2)*(-8)/10. Suppose -g*n - c + 13 = 0, 4*c = -5*n + 51 - 20. Let h(o) = o**3 - 8*o**2 + 10*o - 7. Is 14 a factor of h(n)? True Suppose -r - 3 = -1. Let x be (0 - 9/6)*r. Does 11 divide 1/x + 32/3? True Let b = 265 - 171. Does 5 divide b? False Let j(b) = b**3 - 4*b**2 - 2*b - 7. Does 8 divide j(5)? True Does 10 divide (-1 + -105)*(-18)/36? False Suppose 118 = 3*d - 113. Is d a multiple of 13? False Suppose 3*y - 2*f - 168 = 0, 6*y - 5*f - 177 = 3*y. Let i = -30 + y. Does 18 divide i? False Is 23 a factor of -46*(-4 - -1)*(-26)/(-39)? True Let w be 10*3/((-45)/(-12)). Is (-4)/(w/(-6)) + -1 even? True Suppose 2*p + 3*p - 15 = 0. Suppose -p*s + 145 = -89. Suppose 0 = 5*a + 23 - s. Is a a multiple of 11? True Suppose 0 = i + 4*f - 236, 4*f - 1408 = -4*i - 404. Let n = i + -170. Is 34 a factor of n? False Suppose 0 = 3*c - 5*c + 22. Does 11 divide c? True Let u(g) = 13*g**2 + 2*g + 2. Let z be u(-1). Is z + (-1 + 3)/(-1) a multiple of 11? True Suppose 0*q = 2*q - 54. Is 6/27 - (-237)/q a multiple of 9? True Let j(x) = -4*x**2 + x. Let h be j(1). Let f = h - -3. Suppose -3*g + f*g + 9 = 0. Is 2 a factor of g? False Let f(q) = -q**3 - q + 65. Is f(0) a multiple of 14? False Suppose -5*x + 75 = -z, -x - 4*x - 2*z + 60 = 0. Is 4 a factor of x? False Let n(i) = i**3 + 10*i**2 - 3*i + 11. Is 20 a factor of n(5)? False Let f(t) = -3*t**2 + t - 4. Let z(j) = -2 - 5 + 0*j - 7*j**2 + j. Let o(q) = 5*f(q) - 3*z(q). Does 5 divide o(-1)? True Suppose -3*f = 6 - 0, 0 = 5*o + 4*f - 367. Is 23 a factor of o? False Let m(n) = 24*n - 8. Is m(6) a multiple of 13? False Suppose -3*c + 593 = -y, -4*y + 542 = 5*c - 469. Is 20 a factor of c? False Let a(j) = j**2 + 3*j. Let q be a(-6). Is 10/45 + 302/q a multiple of 17? True Suppose 4*t + 152 = 2*b, -4*b + 297 = -4*t + 3*t. Suppose 5*u = c - 10, 0 = 4*c - 7*c + 4*u + b. Is c a multiple of 17? False Let c = 55 - 28. Is c a multiple of 13? False Let z(l) = 4*l**3 + 12*l**2 + 6*l + 3. Let d(w) = -2*w**3 - 6*w**2 - 3*w - 2. Let h(u) = -5*d(u) - 3*z(u). Does 19 divide h(-4)? False Suppose 3*b - 6*b + 4*s + 15 = 0, -b + 3*s + 10 = 0. Is 21 + ((-2)/1 - b) a multiple of 9? True Let w = 24 + -19. Suppose 0 = h + 4*j + 12, 2*h + 2*h - j - 20 = 0. Suppose -h*m - 4*p + 102 + 50 = 0, -5*m + w*p = -140. Does 13 divide m? False Let o be ((-30)/12)/((-1)/2). Suppose -o = 5*v - 0. Is 15 a factor of 15 + (1 - 2) - v? True Let n(j) = -2*j + 8. Is 8 a factor of n(-12)? True Let i = -10 + 16. Suppose -i*d = -2*d - 20. Does 3 divide d? False Let y = 181 - 107. Let a = y + -46. Does 12 divide (-172)/(-14) - 8/a? True Let a(m) = m - 3. Let q = 7 + -2. Let h be a(q). Suppose h*o + 20 = -4*c + 104, 53 = 3*c - o. Is 12 a factor of c? False Let r(n) = n**3 + 5*n**2 + 3*n - 3. Let c be r(-3). Let l(b) = -b**2 + 9*b. Is l(c) a multiple of 18? True Let v(t) = 0 + t + 2 + 1 + 4. Is 4 a factor of v(4)? False Let u = 105 - 48. Let f = u - -1. Does 16 divide f? False Let f(c) = -2*c - 7. Let p be f(-5). Suppose 0 = p*b - 0*b - 39. Does 11 divide b? False Let u be (94/(-3))/(4/6). Suppose 4*p = -5*o - 141, p - 3*p + o - 53 = 0. Let k = p - u. Is k a multiple of 8? False Does 6 divide (-1)/2 + ((-663)/6)/(-17)? True Is 8 a factor of (-486)/(-30) + 1/(-5)? True Let z(n) = -82*n**3 + n**2 - n - 1. Let g be z(1). Let m = g + 133. Does 30 divide m? False Is 8 a factor of (-8)/(-2) - (-29 + -1)? False Suppose 4*c - 18 = 2. Suppose 7 = -2*s + c*t + 26, -5 = 5*t. Is s a multiple of 2? False Let p = 25 + -15. Suppose -n + p = -1. Suppose l = 11 + n. Is l a multiple of 11? True Let u = 9 - 0. Does 3 divide u? True Suppose -3*l - l = 8. Let g = l + 6. Suppose -4*i - 188 = -4*q, -2 = -2*q - g*i + 116. Is q a multiple of 19? False Let g(o) = -16*o - 5. Does 25 divide g(-6)? False Suppose 4*k = 54 + 66. Suppose -4*x - x = -k. Suppose -2*s - 5*w - 129 = -6*s, 0 = -2*w + x. Is s a multiple of 18? True Let w be (-3 - -3)*(-1)/2. Is 52 - (-1 + -1 + w) a multiple of 18? True Let v(l) = 3*l**2 - 7. Is v(5) a multiple of 17? True Suppose 2*n - 236 + 62 = 3*x, 10 = -5*x. Does 7 divide n? True Suppose 3*y + a - 96 = 17, 154 = 4*y + 2*a. Let b = y + -16. Suppose b = 2*n + 3*n. Does 3 divide n? False Suppose d = f + 4*d - 19, 3*d = 5*f - 77. Is f a multiple of 16? True Let s be (-4)/(-18) + 156/27. Suppose 2*n - 2*i + s = 0, -4*n = 7*i - 3*i - 28. Let p = n - -13. Is 15 a factor of p? True Suppose i + 4*a - 62 = -i, 5*i - 3*a - 207 = 0. Suppose 6 = 5*l - i. Is (-6)/4*(-228)/l a multiple of 14? False Let h = -206 - -358. Does 33 divide h? False Let c(u) = 2*u - 5. Let h be c(4). Does 19 divide 2 - (h - 10*2)? True Let g(a) = -5*a**2 - 5*a. Let q(d) = 9*d**2 + 11*d + 1. Suppose 7 = -4*j - 5, 4*j - 16 = 4*z. Let l(s) = z*g(s) - 4*q(s). Is l(-7) a multiple of 7? False Suppose 5*x + 18 = 2*x. Does 12 divide 92/8 + (-3)/x? True Let m(b) = b + 6. Let f be m(-6). Let x(c) = c + 1. Let v be x(3). Suppose f = v*w - 26 - 2. Is 3 a factor of w? False Let x = 133 - 88. Is 9 a factor of x? True Let i = -11 - -17. Suppose -2*b - b + i = 0. Suppose 0*s = b*s - 16. Is 7 a factor of s? False Let h be 3 - (0 + -2) - 0. Let g = 22 + h. Let t = -16 + g. Is t a multiple of 11? True Let h(z) = z**3 - 2*z**2 + 1. Let p be h(-1). Let f(i) = i**3 - 8*i**2 + 8*i - 1. Let m be f(7). Does 26 divide 37*(-6)/(m/p)? False Suppose -n - 15 = -4*n. Suppose -n*s + 56 = -s. Is 7 a factor of s? True Suppose -2*i + i + z + 21 = 0, -5*i + 4*z + 101 = 0. Is 11 a factor of i? False Let l(r) = r**3 - 2*r**2 - r - 1. Does 8 divide l(5)? False Suppose 5*y + 171 - 876 = 0. Is y a multiple of 10? False Let g = 21 - 13. Let x(k) = -k**3 + 8*k**2 + 4*k + 7. Let a be x(g). Suppose a = 3*n - 15. Does 13 divide n? False Suppose 0 = -4*l + 16, -4*l = -4*d - 2*l + 340. Is 22 a factor of d? False Suppose -4*o - 5*z + 18 = 0, -4*z + 16 = 4*o - 0*z. Let f = o - -3. Is f even? False Let g(b) = b**2 - 8*b + 4. Let r be (1 - -4)*1 + 1. Let q be g(r). Let y(t) = -t**3 - 9*t**2 - 10*t + 10. Does 13 divide y(q)? True Let l = 10 + -1. Suppose -l*u - 45 = -10*u. Does 15 divide u? True Let l(q) = -q + 1. Let p(w) = -w**2 - 5*w + 4. Let a(d) = 4*l(d) - p(d). Does 11 divide a(-7)? False Is (93/(-3) + 0)*-3 a multiple of 31? True Suppose -2*s + 96 = 2*o, -3*o = -3*s - 33 + 153. Suppose -4*d = -3*d - s. Does 11 divide d? True Let h = 8 - 3. Let o(l) = -l**2 - h*l**2 + 3*l**2 + 3 + 6*l**2. Is o(-3) a multiple of 11? False Suppose 0 = 4*c - 429 + 157. Suppose w - c = -3*w. Is w a multiple of 7? False Let w(c) = -1 + 0 + 3*c + 2 - 3. Is w(4) a multiple of 4? False Let c be 1 + 1 + 0 + 0. Suppose -m + 2*s = 1, 7 = -c*m - 3*s + 2*s. Is 6*(5/m - -2) a multiple of 2? True Suppose -4*l - m = -6*m - 28, 20 = -5*m. Suppose -3*c = 5*o - 8, 0*c - l*o = -c - 1. Is 14 a factor of (28/6)/(c/3)? True Suppose g + 3*q - 21 = -2*q, 2*g = -2*q + 66. Is g a multiple of 9? True Let g(z) = -3*z + 2*z + 5*z**2 - 2*z**2. Is g(2) a multiple of 6? False Let a be 4/7*14/4. Suppose -a*n = 3*n - 70. Is n a multiple of 12? False Let u = 2 + 0. Let v be (3/u)/((-6)/8). Does 5 divide (v - -2 - -9) + 1? True Let m(f) be the second derivative of -f**5/20 - f**4/12 - f**3/6 - 3*f**2/2 - 14*f. Suppose 3*l = -3*b - 3, -2*l + 6*l - 2*b = -16. Is m(l) a multiple of 9? True Is 9 a factor of 2 - -76 - 9/(-3)? True Let g(y) be the first derivative of -2*y + 1/4*y**4 - 2*y**2 + 2 + 2*y**3. Is 11 a factor of g(-6)? True Let v(q) = 9*q**2 - 1. Let n be v(-1). Let i = n - 4. Suppose -k = -i*w - 6 + 17, 16 = 5*w + k. Does 3 divide w? True Suppose -2*c + 3*c + 3 = 0. Is 7 a factor of (1*c)/((-3)/21)? True Let b be 2 + 2 + (-3 - 1). Suppose b = i - 2*i + 3. Suppose -5 = 4*y + 2*u - 17, 0 = -i*u. Does 2 divide y? False Let d be (-3)/(-2)*(-70)/(-21). Suppose -d*a + 45 = -2*a. Is 10 a factor of a? False Let t = 14 + 48. Is 14 a factor of t? False Let t(p) = 2*p**3 + 2*p**2 - 2*p - 1. Suppose 4*f - 2*f - 2 = 0, -4*f = 2*m. Let w be (-2 + m)/(-1) - 2. Is t(w) a multiple of 19? True Suppose -3*w + 185 + 16 = 0. Is 13 a factor of w? False Suppose -2*
{ "pile_set_name": "DM Mathematics" }
and 5. 17625.6965 -0.07*0.8541707 -0.059791949 What is 23.170647 times 2? 46.341294 What is the product of 0.2 and 18329.0775? 3665.8155 1689761 * -0.059 -99695.899 -5 times -132.2917 661.4585 What is 0.536 times 12161? 6518.296 Work out 169.0322 * -1. -169.0322 Work out 0.03436 * -4761. -163.58796 What is 458 times -77.473? -35482.634 Calculate 52.58*-0.0475. -2.49755 Work out -1939377 * -1.2. 2327252.4 What is 0.2 times 4650703.3? 930140.66 Work out 13817793 * -0.09. -1243601.37 0.019 * 56133 1066.527 Multiply 264 and 600.237. 158462.568 Product of 1357 and -0.0559. -75.8563 Calculate -0.01*1043607. -10436.07 1.376 * 52.0005 71.552688 -4 times 1884.7529 -7539.0116 What is 20 times 1155.86? 23117.2 What is the product of 3 and 176.6086? 529.8258 Calculate 0.1*-239709. -23970.9 Product of 124.42 and 39403. 4902521.26 What is the product of -178 and 523223? -93133694 65*1803812 117247780 Product of 136925849 and -0.5. -68462924.5 Product of 0.1 and 29598381. 2959838.1 Work out -679 * 7131. -4841949 65638170*-0.1 -6563817 What is 0.00701 times -114821? -804.89521 Calculate -0.054*435.09. -23.49486 -5703*-703 4009209 Work out -0.0099 * 6821.6. -67.53384 What is -32305.98 times 17? -549201.66 Calculate -2604783*1. -2604783 -542*-14258 7727836 Work out -0.30378 * -18. 5.46804 -406 * 33181 -13471486 0.2 times -0.17014516 -0.034029032 -27 times -0.001046 0.028242 Multiply 19 and 9562313. 181683947 -27093693 times 15 -406405395 Product of -1434 and 0.429. -615.186 What is -2371423 times -0.01? 23714.23 Calculate -0.5*140663325. -70331662.5 Multiply 2555338 and -11. -28108718 Product of -133.1 and 0.167849. -22.3407019 -4 times 190742.3 -762969.2 What is -4396073 times -1.6? 7033716.8 Product of -8554.1 and 103. -881072.3 Multiply -19450 and 2.434. -47341.3 Multiply 56397 and -27. -1522719 Product of 1.038 and -819602. -850746.876 Work out 1469 * -56.63. -83189.47 1 * 1194224 1194224 -2011638 times 1.1 -2212801.8 What is the product of 27960093 and -2? -55920186 Calculate 824.6*0.136. 112.1456 Calculate -14.445*5244. -75749.58 Work out -43371 * 3247. -140825637 What is the product of 39276023 and 1.1? 43203625.3 Work out 0.1 * -6577787. -657778.7 0.1249*-0.84368 -0.105375632 What is -21166.69 times 0.1? -2116.669 Calculate -1708736*-0.1. 170873.6 Work out -138 * -467859. 64564542 Multiply -909 and -227094. 206428446 Calculate 378837*0. 0 What is the product of 563 and -36312? -20443656 Multiply 25 and 11418611. 285465275 Work out -0.0506255 * -0.0334. 0.0016908917 -3 times 39697944 -119093832 What is -13330823 times -20? 266616460 Calculate 3*38566084. 115698252 91 times -91.9 -8362.9 Product of -4 and 83517677. -334070708 Product of 0.2 and 48115524. 9623104.8 -165 times -67579 11150535 What is -111 times -0.4654? 51.6594 Calculate 0.5*-828.1316. -414.0658 Multiply 89 and -3879.95. -345315.55 -656 * 58444 -38339264 Work out 1786277 * 117. 208994409 -597786.7 times -0.5 298893.35 Product of -0.2 and 0.2396204. -0.04792408 Multiply 6775313 and 0.48. 3252150.24 117 times 5243783 613522611 36.9*6.2618 231.06042 Calculate 7.7*2348.1. 18080.37 Product of 1.96 and 101401. 198745.96 632.7 times 0.6495 410.93865 Product of 0 and -479.28667. 0 0.038 * -3415968 -129806.784 -177.57546 * -21 3729.08466 -0.42*-1.749989 0.73499538 Product of -28983 and 0.0302. -875.2866 Multiply 223965477 and 4. 895861908 What is 4 times 36145615? 144582460 Calculate 31269859*-4. -125079436 -0.64126 times 2.317 -1.48579942 What is the product of 23743 and -4.037? -95850.491 Work out 22.179345 * 5. 110.896725 -43945306*0.7 -30761714.2 Multiply -4.77072 and -23.25. 110.91924 -1 times -61.771955 61.771955 37*26747 989639 -0.09 * -549457 49451.13 What is -0.6497 times 23838? -15487.5486 What is the product of 158347 and -314? -49720958 0.05 * -1001811 -50090.55 Product of 67.002 and -4.9. -328.3098 Work out 0.55 * -5199.12. -2859.516 Calculate -9445*3283. -31007935 Work out 0.066828 * -3105. -207.50094 -170*586506 -99706020 0.112 times 2239007 250768.784 Work out 0.06 * 471794. 28307.64 544379 * 1.67 909112.93 Calculate -1.405*-5097. 7161.285 Multiply -2.7 and -3785743. 10221506.1 Product of 0.091 and -0.1047223. -0.0095297293 Multiply -4736832 and 0. 0 Work out 1045939 * -0.0575. -60141.4925 Product of 273064 and -88. -24029632 Product of 9 and -2151938. -19367442 0.165238 * 0.026 0.004296188 What is -88888.4 times 28? -2488875.2 0.03 times 0.09104296 0.0027312888 Multiply -3 and 112553.516. -337660.548 -1 times 64589871 -64589871 Multiply 0.2 and -42.652057. -8.5304114 What is -11.6729 times -54? 630.3366 Work out -0.275462 * 8.78. -2.41855636 What is the product of -15345 and 65? -997425 What is the product of -0.1 and 10901.686? -1090.1686 Work out 897581287 * 0.2. 179516257.4 Calculate 5*2550281. 12751405 -119370*24 -2864880 What is the product of 13098911 and 0? 0 What is the product of -25.31 and -90.57? 2292.3267 Product of 0.09 and 0.544334. 0.04899006 Product of -159676 and -0.252. 40238.352 -391 * -22049 8621159 What is the product of 0.494873 and 0.22? 0.10887206 39952590 times -0.4 -15981036 3.518378*0.2 0.7036756 Multiply -2.2 and 479.3025. -1054.4655 -217663 * -0.039 8488.857 Calculate 187*0.033838. 6.327706 -378019 * -295 111515605 What is -102.6 times -7219? 740669.4 -3 times 0.031938691 -0.095816073 What is the product of 3942 and 56973? 224587566 What is the product of -1 and 13353181? -13353181 Calculate 10*-0.101817691. -1.01817691 5376*0.1003 539.2128 -0.15*0.1963412 -0.02945118 -17.688 * 4034 -71353.392 175.305964 * 0 0 Calculate -0.07*1779841. -124588.87 What is the product of 138109 and 18.65? 2575732.85 What is the product of -34 and -0.003027? 0.102918 What is 0.0493 times 64346? 3172.2578 What is the product of -0.1176821 and -0.09? 0.010591389 0.141747862*0.5 0.070873931 What is 2635368 times 14.9? 39266983.2 -25443994 * -3 76331982 Calculate 14.52*-132869. -1929257.88 What is the product of 6 and -2263225? -13579350 -0.34*498.69 -169.5546 Work out 0 * 67727618. 0 -2.48 * -276.92 686.7616 Calculate -12718932*-0.087. 1106547.084 Work out 321.4 * -25552. -8212412.8 What is -107806 times -0.16? 17248.96 What is the product of -12 and 8.95114? -107.41368 What is the product of -8.78845 and -4? 35.1538 Work out -2 * 578361. -1156722 -6 * -4313737 25882422 Multiply -90.2 and 562.2. -50710.44 Work out -407.53 * -246. 100252.38 4378999*2 8757998 Calculate 3*240115. 720345 Multiply -0.030052 and 220. -6.61144 -7.7274*41.78 -322.850772 Product of -1125417 and -0.097. 109165.449 What is 233 times 1146.965? 267242.845 -67258*1.76 -118374.08 What is the product of 833996 and -18? -15011928 Calculate 59057*0.292. 17244.644 Calculate 0*5175524. 0 -0.5 times -144.0954 72.0477 Work out 5 * 84402248. 422011240 Work out -23.378119 * 3. -70.134357 What is 5.51054 times -7.68? -42.3209472 98.1*2166.52 212535.612 493528 times 8 3948224 Product of 0.4 and 1277603. 511041.2 Product of -44746 and -0.07. 3132.22 Work out 4 * 21106.65. 84426.6 What is -0.2 times 2235418? -447083.6 Calculate 0.21*0.1197671. 0.025151091 407*1420.985 578340.895 Calculate 9.13224*23. 210.04152 What is the product of 0.0097722 and 7? 0.0684054 Multiply -1494340 and 2.4. -3586416 Product of 0.35 and 0.0099112. 0.00346892 What is the product of 159 and -45021? -7158339 -136.67 times 0.1301 -17.780767 What is the product of -11 and 72475.98? -797235.78 Work out -0.11496 * -1027. 118.06392 Multiply -5 and -91.516. 457.58 Work out 153169 * 10.3. 1577640.7 Calculate 0.2*-8424042.5. -1684808.5 Multiply -44963555 and -2. 89927110 Multiply -49928 and -195. 9735960 72 times 841337 60576264 -86649*-398 34486302 Calculate 0.1*3775561. 377556.1 Calculate -466.081*-0.4. 186.4324 What is -19044.2 times -9? 171397.8 -4.3818 times 3172 -13899.0696 Product of -0.081 and 11864. -960.984 -0.09*-5758978 518308.02 Multiply 5321 and 456.89. 2431111.69 Calculate 55059.11*1. 55059.11 2.3*2900644 6671481.2 Multiply 0.462 and 131191. 60610.242 2130*-0.01935 -41.2155 Multiply 2307528 and -0.33. -761484.24 Work out 318 * 59417. 18894606 Calculate -2.7153*168. -456.1704 Product of 3 and -15.382367. -46.147101 What is the product of -107.1793 and 2.7? -289.38411 65.1*332.06 21617.106 What is the product of 13417098 and -42? -56351
{ "pile_set_name": "DM Mathematics" }
-7*f Expand (0*b**4 - 4*b**4 + 5*b**4)*(0 + 0 + 3*b) + (-2*b + 2*b**3 + 2*b)*(3*b**2 + 2*b**2 - 7*b**2) + 3*b**5 - 2*b**5 - 3*b**5. -3*b**5 Expand (4*w + 22 - 22)*(90 - 90 + 6*w) - 4*w - 2*w**2 + 4*w + (-2*w - 2*w + 3*w)*(0*w + 5*w - 3*w). 20*w**2 Expand (-7*g + 14*g - 9*g + 8*g**4)*(4 + 2 + 7). 104*g**4 - 26*g Expand 4*h**5 - 2*h**5 + 0*h**5 + 5*h**2 + (2*h - 9 + 9)*(4*h**4 + 0*h**4 + 2*h**4). 14*h**5 + 5*h**2 Expand (-2*x**3 + 5*x**2 - 5*x**2)*(-4 + 3 + 0) - 6 + 6 + 6*x**3 - 282*x**2 + 28*x**3 + 282*x**2. 36*x**3 Expand (4 - 2 - 3)*(r + 3*r - 6*r)*(-807*r**4 - 4*r + 801*r**4 + 0*r + (4*r - 3*r**2 - 4*r)*(-2*r**2 + 2*r**2 + 2*r**2) - 3*r**3 + 3*r**3 + 2*r**4). -20*r**5 - 8*r**2 Expand -16*t**3 + 7*t**2 - 3*t**2 - 4*t**2 - 3*t**3 - 3*t**3 + 0*t**3 + 2*t**3 + t**3 - 5*t**3 + (2*t + t - 4*t)*(-3*t**2 + 0*t**2 + 5*t**2). -26*t**3 Expand -20*q + 22*q - 15*q + (1 - 2 + 3)*(3*q + 0*q + 0*q). -7*q Expand (44*t**3 - 101*t**3 + 8*t**3)*(3*t - 6*t + t + 1). 98*t**4 - 49*t**3 Expand -4*k - 31*k + 3*k + 2*k - 2*k + 2*k + (1 - 4 + 1)*(-2*k + 0 + 0) - 2*k - k - 2*k + (-5*k + 4*k + 3*k)*(-2 - 1 + 1). -35*k Expand (14406*b**2 - 168*b**5 - 14406*b**2)*(2 + 1 + 0). -504*b**5 Expand (-2450 - 18*j**2 + 2450)*(7 - 3 + 0). -72*j**2 Expand -2*a + a + 0*a - 2 + 2 - a + (2*a - a - 3*a)*(21 - 268 + 5) + 2*a + 5*a - 4*a. 485*a Expand (-5*v**2 + 6*v**2 - 3*v**2)*(19 - 18 - 280*v**3 + 583*v**3). -606*v**5 - 2*v**2 Expand 2*t**5 - 5*t**5 + 4*t**5 + (t**3 + 0*t**3 - 3*t**3)*(0*t**2 + 0*t**2 - 2*t**2) - 126*t**5 + 35*t**5 - 21*t**5. -107*t**5 Expand (3*m - 1 - 2*m + 0*m)*(-3064 + 1538 + 1541 - 21*m). -21*m**2 + 36*m - 15 Expand (3*p**2 - 3*p**2 - p**2)*(3 - 1 + 0 + 0 + 1 - 2 + (-2 + 1 + 3)*(1 - 4 + 4) + 1 + 2 - 1)*(2*p + 2*p - 5*p). 5*p**3 Expand (37*l - 37*l - 5*l**3 + (-1 + l**3 + 1)*(-4 + 0 + 6))*(38 + 2 - 12). -84*l**3 Expand (-3*a - 3 + 3 + (1 - 1 - 1)*(-3*a + 0*a + 2*a))*(-7*a + 9*a + 10*a)*(-5*a + 3*a - a). 72*a**3 Expand (-6*v - 12*v - 5*v)*((3*v - 3*v + 2*v)*(4*v**3 - 2*v**3 - v**3) + 0 + 0 - v**4). -23*v**5 Expand (-24*q + q - 11*q)*(q + 0*q + q**4 - 3 + 6). -34*q**5 - 34*q**2 - 102*q Expand (0*w + w - 4*w)*(-190*w - 42*w + 105*w). 381*w**2 Expand (12*a**2 + 3*a**2 - 17*a**2)*(a**2 - 5*a**2 + 2*a**2 - 3). 4*a**4 + 6*a**2 Expand -s**5 - 14*s**5 + s**5 + (-16*s + 0*s - 2*s)*(0*s**4 - 5*s**4 + 3*s**4). 22*s**5 Expand 6*o**2 + o**2 + 3*o - 3*o**2 + (4*o + 0*o - o)*(17 + 4*o - 17) - o**2 + 5*o**2 - 3*o**2. 17*o**2 + 3*o Expand (2*q**2 + 18 + 10 - 20)*(-1 + 3*q - 3*q + q). 2*q**3 - 2*q**2 + 8*q - 8 Expand (-y + 2*y + 2*y + (-1 + 2 + 0)*(-y - 1 + 1))*(-4 + 1 + 2 + (-2 + 3 - 2)*(6 - 3 - 2) - 1 + 3 - 4)*(-5*y + 3*y + y). 8*y**2 Expand (2*p + 7 + 4*p**2 - 7)*(-21 + 21 + 7*p) + 20 - 20 + 56*p**3. 84*p**3 + 14*p**2 Expand (1 + 0 + 0)*(-21*t - 27*t + 9*t + (-t + 4*t - t)*(4 + 6 - 6) - 3 + t + 3). -30*t Expand (0 + 3 - 2)*(-2*i**4 - 4 + 4) + (-5 - 5 - 19)*(-17*i**4 - 1 + 5*i**4 + 2*i**3 + 13*i**4). -31*i**4 - 58*i**3 + 29 Expand (0*o + 0*o - 3*o**2)*(2 + 3 - 4) + 3*o**2 + 0*o**2 + 0*o**2 + (40*o**2 - 76*o**2 + 61*o**2)*(2 - 1 + 0). 25*o**2 Expand (-z**3 + 4 - 4)*(0 + 2*z + 0) - z**3 - 2*z**4 + z**3 + (-21 + 21 - 9*z)*(3*z**2 - 3*z**2 + 2*z**3). -22*z**4 Expand (-6*s + s + s)*(-77*s - 78*s + 56*s) - 3*s**2 + s**2 + 0*s**2. 394*s**2 Expand -3*z**2 + z**3 + 3*z**2 + (4 - 1 - 4)*(3*z**3 - 6*z**3 + z**3) + (-5 + 0 + 3)*(-120*z**3 + 65*z**3 + 71*z**3). -29*z**3 Expand (-1 + 6 - 3)*(4*o - 3*o + o**2 - 3*o**2) + (24 - 4*o - 24)*(-o + 7*o + 0*o). -28*o**2 + 2*o Expand (0*y + 4*y - 6*y + (-1 - 2*y + 1)*(2 + 1 - 1))*(97 - 19 + 68). -876*y Expand (-55*p + 36*p + 163*p)*(3*p**2 + 0*p + 0*p) + 3*p**3 - 2*p**3 - 2*p**3. 431*p**3 Expand (3*h + 5*h + h)*(-1 - 2 + 1)*(1 + 6 - 2). -90*h Expand 4 - b - 4 - b - 3*b + 2*b + (2 + 0 - 3)*(-63*b - 2*b + 315*b). -253*b Expand (3*k - 5*k + 0*k)*(-7 + 8 - 19). 36*k Expand (-3*s**2 - s**2 + 2*s**2)*(4*s**2 + 10 + 1 - 19). -8*s**4 + 16*s**2 Expand (-2*l + 3*l + 0*l)*(3*l**3 + 4*l**3 - 5*l**3) + 2*l**4 + 3*l**4 - 4*l**4 - 31*l**3 - 36*l**3 + 3*l**4 - 10 + 66*l**3. 6*l**4 - l**3 - 10 Expand (2*b**2 - 2*b**2 + b**2)*(-101*b - 68 + 215*b - 112*b). 2*b**3 - 68*b**2 Expand 2*g**5 - 2*g**5 - 14*g**5 + (-2*g**2 + 6*g**2 - 3*g**2)*(-g**2 + g**2 - g**2)*(0 + 0 + g). -15*g**5 Expand (-483*n + 49*n + 138*n)*(n + 2*n - n). -592*n**2 Expand (1 + 3 - 2)*(3*h - 6 + 7 - h) + 29 + 5*h - 29. 9*h + 2 Expand (2*y - 3*y - y)*(-2 - 1 + 2) + 2*y - 3 + 3 - y + y + y - 2 + (77*y + 20*y - 27*y)*(-1 - 2 - 2). -345*y - 2 Expand (4 + 2*y**4 - 4)*(-2 - y + 2)*(10 - 2 + 2)*(-4 + 4 + 2). -40*y**5 Expand (-2*i + i + 3*i)*(-1 - 1 + 0)*(27 + 28 + 5). -240*i Expand 35*c**5 + 100*c**5 - c**5 + 4*c**5 - 4*c**5 - 2*c**5 + (3*c - c - 3*c)*(2*c**4 + 0 + 0) + c**5 - c**5 - 2*c**5. 128*c**5 Expand (1072*a + 5 + 0 - 1067*a - 2)*(0*a**2 - a**2 + 0*a**2). -5*a**3 - 3*a**2 Expand (-f + 2*f + f)*(-1 - 1 - 2) + 16*f + 2*f + 19*f. 29*f Expand (-3 + 2*j**3 + 3)*(-2*j + 2*j - j**2) - 5*j**5 - j**3 + j**3 + (4*j + 2 - 2)*(-6*j**4 - j**4 + 2*j**4). -27*j**5 Expand (-4 - 9*m + 4)*(-4 - 30 - 21). 495*m Expand -7*l + 7*l + 3*l**2 + 0*l**2 - 4*l**2 + l**2 + (2 - 2 - 3*l)*(-2*l + 5*l - 2*l) - 2*l + 2*l - 3*l**2 + (-l - 3*l + 5*l)*(1 - l - 1) + 2 - 2 - 2*l**2. -9*l**2 Expand (1103*h**3 - 2274*h**3 + 835*h**3)*(h**2 + 0*h**2 - 4*h**2). 1008*h**5 Expand (-2*m + 1 - 1)*(-18 - 4 + 9)*(66 + 5 - 12). 1534*m Expand -2*b**4 + 4*b**4 - 4*b**4 + (-2*b**2 + b**2 + 4*b**2)*(2*b**2 - 3*b**2 + 0*b**2) + (4*b**2 - 3*b**2 - 2*b**2)*(0*b**2 - 3*b**2 - 3*b**2). b**4 Expand (-3*x**2 - 12*x**2 + 4*x**2)*(2*x**3 - 6*x**3 + x**3) + 0*x + 0*x + 2*x**5. 35*x**5 Expand (o + 5*o - 5*o + (o - 2 + 2)*(-1 - 3 + 6) - 4*o + 4*o + 2*o)*(2*o - 6*o + 3*o)*(-10 + 10 - 3*o)*(1 - 1 - 1). -15*o**3 Expand (-46*d - 39*d + 92*d)*(-5 + 0 - 1). -42*d Expand (-k**3 + 0*k**3 + 3 - k**3)*(-11 - 13 - 20)*(5 - k - 5). -88*k**4 + 132*k Expand 1302 - 1302 - 204*h**3 + (3 - 4 - 1)*(-2*h**3 + 0 + 0). -200*h**3 Expand (0 - 1 + 0 - 1 + 1 + 2 - 4 + 1 + 2 + 5 - 2 - 2 + 3 - 6 + 2 + 0 + 6 - 4 + (1 - 2 + 0)*(1 + 1 - 3) + 2 + 1 - 1)*(-25*r - 17*r + 9*r). -165*r Expand (2*g - 3*g - g)*(9029*g - 4669*g - 4634*g). 548*g**2 Expand (-49 + 9*s + 125 - 66)*(-s - 2*s + 0*s). -27*s**2 - 30*s Expand (-1 + g + 1)*(1 + 2 - 6)*(4*g**2 - 6*g**2 - 5*g**2). 21*g**3 Expand (3*r**2 + 4*r**2 - 5*r**2)*(2 + 0 + 4) - 2*r**2 + 3*r**2 + 2*r**2 + 0*r**2 + r**2 + r**2 + 2. 17*r**2 + 2 Expand (2 + 3*u - 2 + (0 + 2 + 0)*(2*u - 3 + 3) - 15*u - 20*u - 2*u)*(-1 - 2 + 2)*(5*u - 2*u + 0*u). 90*u**2 Expand -66*y - 52*y + 154*y + 3*y**3 + 3*y**2 - 3*y**2 + 2*y**3 - 2*y**3 + 7*y**3 - 3*y**3 + (-y**2 - 2*y**2 + 4*y**2)*(2*y - 4*y + 3*y). 8*y**3 + 36*y Expand (3*u**2 + 4*u - 4*u + (2*u - 4*u + 4*u)*(-2 + 2 + 2*u) - 2*u**2 + 3 - 3 + (0*u**2 + 0*u**2 - u**2)*(-5 + 4 - 1) - 4*u**2 + 5*u**2 + 0*u**2)*(0 + 0 - 27). -216*u**2 Expand -3*w**4 + 2*w**4 + 7*w**4 + 0*w**4 - 3*w**4 + 4*w**4 + (-2*w**2 - 1 + 1)*(-6*w**2 - 7 + 7). 19*w**4 Expand ((1 + 2*s - 1)*(0 - 3 + 4) - 18*s + 32 - 32 - 3*s - 3*s + 4*s + (-1 + 3 - 4)*(-5 + s + 5))*(2*s - 2*s + 2*s)*(-4*s - 2*s + 4*s). 80*s**3 Expand 0*c**5 + c**5 + 2*c**3 - 4 + 0 + (c**2 - 2*c**2 + 3*c**2 - 4*c**2 + 0*c**2 + c**2 + (4 - 4 + c)*(0*c - 5*c + 4*c))*(-4*c**3 - 5*c**3 + 2*c**3). 15*c**5 + 2*c**3 - 4 Expand -3*k**5 + 6*k**5 + k**5 + (3*k**3 - 2*k**4 - 3*k**3)*(-k + 35*k - 9*k). -46*k**5 Expand (40 + 8*n**2 + 10 - 6*n**2)*(-255*n + 255*n - 2*n**2). -4*n**4 - 100*n**2 Expand (-1 + 1 + 3*u)*(-2 + 2 - 11*u) + 3*u + 2*u**2 - 2*u - 1 + 0*u**2. -31*u**2 + u - 1 Expand -89213*a + 811*a**2 + 89213*a + 0 + a**2 + 0 + (-1 - a + 1)*(0*a - 3*a + a) + 4*a - 4*a - a**2. 813*a**2 Expand (-2*j + j + 0*j + (4 - 1 - 2)*(2*j + j - 5*j) + 7*j - 4*j + 8*j)*(6*j - 10*j - 12*j). -128*j**2 Expand (4*p - 4*p - p)*(660*p**2 - 767*p**2 + 2 - 30*p**3 - 2). 30*p**4 + 107*p**3 Expand 93*g - 97*g + 108*g + (-6 + 6 - 2*g)*(0 - 1 + 0). 106*g Expand (-3*g**4 + 0*g**4 + 4*g**4)*(-2 + 3 + 0)*(g - 2*g - g). -2*g**5 Expand (146 + 21 + 113)*(3 + 1 - 3)*(g + 4*g - 3*g). 560*g Expand (8 - 1 - 3)*(2*m + 0 + 0)*(1 - 1 - 5)*(-1 - 1 + 1). 40*m Expand (5 - 2 - 1)*(-520*h**5 + 261*h**5 + 260*h**5 - 57*h**2). 2*h**5 - 114*h**2 Expand (57*s - 14*s - 41*s + 84*s**2)*(0*s**2 + 2*s**3 + 0*s**2). 168*s**5 + 4*s**4 Expand -r -
{ "pile_set_name": "DM Mathematics" }
4 - 7*b + 0*b. Let d be j(-4). List the prime factors of (-8)/(-1)*d/8. 2, 13 List the prime factors of (((-8208)/30)/9)/((-2)/50). 2, 5, 19 Let w be 20*(-2)/(-1*4). Suppose -6*q = -w*q. Suppose 3*y = 2*z - 2 + 3, q = -3*y + 15. List the prime factors of z. 7 Let j(r) = r**2 + 9*r. Let b be j(-11). Suppose 3*l - 1 = -b. Let f = 20 + l. List the prime factors of f. 13 Let j = 204 - 78. What are the prime factors of j? 2, 3, 7 Let f be ((-4)/6)/((-2)/66). Let s be (-16)/(-7) + f/(-77). Suppose -s = -j + 11. What are the prime factors of j? 13 Suppose 11*c - 8*c = 12. Suppose 4*m + c*y - 300 = 0, -m = -4*y + 11 - 106. List the prime factors of m. 79 Suppose 0 = 11*c - 16866 + 3457. List the prime factors of c. 23, 53 Suppose 0 = 7*s + 24 - 129. Suppose 4*z = 9*z - s. List the prime factors of z. 3 Let w(u) = 14*u**2 - 6*u + 4 - 13*u**2 + 6*u. What are the prime factors of w(-3)? 13 Let d = -1547 - -2151. List the prime factors of d. 2, 151 Let r = -36 + 204. What are the prime factors of r? 2, 3, 7 Suppose 3*c - 396 = -3*w, -2*c + 523 = 2*c + 5*w. What are the prime factors of c? 137 Let q(d) = d - 5. Let m be q(6). Suppose 26 = 2*v - 4*l, -26 = 5*l - m. What are the prime factors of 20/v*108/30? 2, 3 Let m = -94 + 136. Suppose m + 326 = 4*w. What are the prime factors of w? 2, 23 Let l = 9 + -4. Suppose 4*v + l*m - 4 = 18, -2*m = 4*v - 16. Suppose 2*j + v*j = 140. What are the prime factors of j? 2, 7 Let h = 1789 + 1962. What are the prime factors of h? 11, 31 Let m = -16 + 49. Suppose 3*r - 186 = 2*c, 2*r - 98 = -c + m. List the prime factors of r. 2 Let g be 506 + 2 - 21/7. Suppose -6*z = -g - 41. List the prime factors of z. 7, 13 Let l(h) be the first derivative of 5/3*h**3 + 7/2*h**2 - 5 + 2*h - 1/4*h**4. What are the prime factors of l(6)? 2 Let j = 2209 - 1575. List the prime factors of j. 2, 317 Let w = 6 + -8. Let c = -2 - w. Suppose c = d - 18. What are the prime factors of d? 2, 3 Let c = 10 - 8. Suppose -5*g = -c*r - 73, 3*g - 77 = -2*g - 2*r. What are the prime factors of g? 3, 5 List the prime factors of 13/(7 - 630/91). 13 Let d(x) = x**3 - 8*x**2 - 8*x + 1. Let k be d(9). What are the prime factors of (8/k)/((-58)/(-5365))? 2, 37 Suppose 6*i + 57 = 9*i. Let p = 15 - i. List the prime factors of -1 - (105 + -1)/p. 5 What are the prime factors of ((-140)/(-30))/(4/462)? 7, 11 Suppose -3*q = -2*q - 2. Suppose 0*j = -j + q*p + 1, 0 = j + 2*p + 11. Let w = 13 + j. What are the prime factors of w? 2 Let j = -14 - -12. Let m(k) = -13*k**3 - 2*k**2 + 2. What are the prime factors of m(j)? 2, 7 Suppose 6*c - 2*c - 20 = 0. Suppose 3*f = -c*s + 6 + 9, -5*f = 2*s - 25. Suppose s = -3*r + 45 + 159. What are the prime factors of r? 2, 17 Suppose -3*c - 5 = -j - 17, -21 = 3*j - 4*c. List the prime factors of 201*(j - (-40)/12). 67 Let x be 4 + (-5)/((-15)/9). Let n(h) = -h - 2*h + x + 0*h. List the prime factors of n(-5). 2, 11 Let m(o) = -o**3 - 5*o - 9 + 6*o - 4*o + 9*o**2. List the prime factors of m(7). 2, 17 Suppose 3*r - 274 = -2*m + 536, -807 = -3*r - m. What are the prime factors of r? 2, 67 Let k = 200 - -521. What are the prime factors of k? 7, 103 Let h = -120 - -3034. What are the prime factors of h? 2, 31, 47 Let o(t) = t**2 + 3*t - 3. Let n be o(-6). Let d = n - 2. Suppose w = d - 1. List the prime factors of w. 2, 3 Let b(w) = 2*w**3 - 13*w**2 + 13*w + 47. List the prime factors of b(9). 569 Let q(u) = u**3 - 3*u**2 - 3*u + 1. Let t be q(5). Let s = 63 - t. What are the prime factors of s/(-18)*(-18)/1? 3 Suppose 0 = -2*n - 13*n + 120. Suppose -10*a + 102 = -n*a. List the prime factors of a. 3, 17 Let i = -27 - -30. Suppose -i*q = q - 100. List the prime factors of q. 5 Let v be ((-32)/12)/((-2)/3). Suppose -v*q - 12 + 3 = w, 0 = 2*w - 2*q - 12. Suppose w*n - 16 - 23 = 0. What are the prime factors of n? 13 Suppose -20*c = -5*c - 30. Suppose -c*k = 15*k - 1819. List the prime factors of k. 107 Let q = -23 + 20. List the prime factors of 2/(-3) + q + (-2031)/(-9). 2, 3, 37 Suppose -g + p + 9 = 0, -4*p - 9 = -5*g + 38. Let d(r) = -r**2 + 34*r - 224. Let z be d(25). Let t = g - z. List the prime factors of t. 2, 5 Let u be (1 + 2)*(-158 + 5). What are the prime factors of ((-26)/(-3))/((-34)/u)? 3, 13 Suppose f - g + 52 = -0*g, 0 = -5*f - 2*g - 253. Let x = 105 + f. List the prime factors of x. 2, 3 Suppose 0 = 6*d - 4652 - 910. Suppose 3*i + m - 2*m = 565, -5*i = 2*m - d. List the prime factors of i. 11, 17 Suppose -2*r + 4*q = 4 - 0, -3*r - 2 = -2*q. Let l = r + 6. List the prime factors of l. 2, 3 Let b(o) be the second derivative of o**5/20 - o**4/6 - 5*o**3/6 + 3*o**2/2 - o. Let x be b(3). What are the prime factors of 15*4/3 - x? 23 Let u(k) = -2*k**3 - k + 2. Let h be u(-4). Suppose -j + 2*r + h = 0, -5*j - 102 = -3*r - 786. List the prime factors of j. 2, 3, 23 Let l = -8 - -10. Suppose 0 = -5*m + l*m - 33. Let z = m + 18. List the prime factors of z. 7 Let x = -787 + 3792. What are the prime factors of x? 5, 601 Let a = 2 - -30. Suppose a = 7*j - 6*j. What are the prime factors of j? 2 Let l = -61 + 66. Suppose -s + 2*b = s - 120, 5*s - 260 = -l*b. What are the prime factors of s? 2, 7 Suppose -7*y = 5431 - 17534. What are the prime factors of y? 7, 13, 19 Let q(p) = -2 - 54*p - 2*p**2 + 8 - 54*p + 3*p**2 + 98*p. Let y(o) = -3*o + 1. Let n be y(-4). List the prime factors of q(n). 3, 5 Let l(k) = 2*k**2 - 8*k + 10. Let h be l(7). Let q = 2 + h. What are the prime factors of q? 2, 3 Let a = 894 - 662. What are the prime factors of a? 2, 29 Suppose -2 - 12 = -2*g + 5*a, 3*g - 5*a = 16. Suppose g*f - 230 = 5*h, 0 = 3*h - 5*h. List the prime factors of f. 5, 23 What are the prime factors of 411/(-6)*(28 - 30)? 137 Let d(v) = 12*v**3 - 4*v**2 + 8*v - 6. Let w be d(2). Let u = -66 + w. What are the prime factors of u? 2, 3 Suppose 9*w = -2*g + 5*w + 986, 0 = w + 4. List the prime factors of g. 3, 167 Let z be -1*338/(-2) - 2. List the prime factors of ((-6 - -4) + 3)*z. 167 Let b be 4*(-51)/(-24)*14. Suppose -87 = -2*h + b. What are the prime factors of h? 103 Let a be -1*(3 + 11/(-4))*0. Suppose -14*x + 8*x + 1470 = a. List the prime factors of x. 5, 7 Let i be ((-1)/1)/(8/120). List the prime factors of i/2*60/(-18). 5 Suppose 4*v = 8*v - 324. Let i = 91 - v. List the prime factors of i. 2, 5 Let j(v) = v**2 - v - 2. Let d be j(-4). Suppose 2*y + d = 120. What are the prime factors of y? 3, 17 Let h(c) = -c**2 + 14*c + 5. Let x be h(-4). Suppose -55 + 9 = o - 4*b, -2*b + 118 = -3*o. Let y = o - x. List the prime factors of y. 29 Suppose -5*t + 8*t = 798. List the prime factors of t. 2, 7, 19 Let h(s) = -s**3 - s**2 + 1. Let t(f) = -5*f**3 + 8*f**2 - 12*f - 10. Let b(p) = 4*h(p) - t(p). What are the prime factors of b(11)? 5 Let m = 915 - 302. List the prime factors of m. 613 Suppose 5*g - 11 = 4*m, -5 = 5*g - 0. What are the prime factors of -64*3*m/12? 2 Suppose -5*k + 85 = 5*y, 2*k + 3*k = -2*y + 82. Let o = k - 13. List the prime factors of (1 - o)*(-87)/6. 29 What are the prime factors of (82/4 + 2)/((-21)/(-280))? 2, 3, 5 Let f = -62 - -66. What are the prime factors of -10*(f + (-33)/6)? 3, 5 Let p(g) = 2*g + 6. Let j be p(-2). Suppose j*h - h - 209 = 0. List the prime factors of h. 11, 19 Let a(h) = 531*h - 332. What are the prime factors of a(4)? 2, 7 Let k(b) = -127*b + 16. What are the prime factors of k(-6)? 2, 389 Suppose 9*k - 4*k + 105 = 0. Let p be (-9)/k + 536/7. Suppose 0 = 5*c - 233 - p. What are the prime factors of c? 2, 31 Let c = 827 + 139. What are the prime factors of c? 2, 3, 7, 23 Let p = 453 + 431. List the prime factors of p. 2, 13, 17 Let b(o) be the first derivative of 4*o - 2 + 3/2*o**2. What are the prime factors of b(5)? 19 Let p(f) = 8*f + 13. Let x be p(-4). Let s = 35 + x. What are the prime factors of s? 2 Let x = 61 + -65. What are the prime factors of (-86)/(-4) - 6/x? 23 Suppose -793 = -p + 2*u, 4*u + 785 = 6*p - 5*p. List the prime factors of p. 3, 89 Let h = 664 + 426. List the prime factors of h. 2, 5, 109 Suppose 3 = -5*t - 2*w, t - 4*t + w = -7. List the prime factors of 3 - -6 - (t + -4). 2, 3 Let k = 52 - 13. Let y = 55 - k. Let s = 33 - y. What are the prime factors of s? 17 Suppose 3*y + 3 = 3*c, 0*c - 2 = -2*c. What are the prime factors of -5 - 38*(-3 + y)? 109 Let w(b) =
{ "pile_set_name": "DM Mathematics" }
28. 918 What is the remainder when 5647 is divided by 767? 278 What is the remainder when 6568 is divided by 729? 7 Calculate the remainder when 22849 is divided by 1135. 149 Calculate the remainder when 16601 is divided by 18. 5 Calculate the remainder when 554 is divided by 106. 24 What is the remainder when 23663 is divided by 116? 115 What is the remainder when 1316 is divided by 147? 140 What is the remainder when 2434 is divided by 9? 4 Calculate the remainder when 1672179 is divided by 21. 12 What is the remainder when 1767273 is divided by 49? 39 Calculate the remainder when 252042 is divided by 1212. 1158 Calculate the remainder when 216181 is divided by 72056. 13 What is the remainder when 20465 is divided by 244? 213 What is the remainder when 2270 is divided by 114? 104 Calculate the remainder when 3287 is divided by 71. 21 Calculate the remainder when 77059 is divided by 44. 15 Calculate the remainder when 304603 is divided by 17. 14 Calculate the remainder when 16841 is divided by 26. 19 What is the remainder when 16167 is divided by 386? 341 Calculate the remainder when 2456 is divided by 307. 0 Calculate the remainder when 2481564 is divided by 571. 569 What is the remainder when 16632 is divided by 511? 280 Calculate the remainder when 2883 is divided by 223. 207 Calculate the remainder when 80498 is divided by 644. 642 Calculate the remainder when 2071 is divided by 306. 235 What is the remainder when 5019 is divided by 134? 61 What is the remainder when 6608 is divided by 29? 25 Calculate the remainder when 17666 is divided by 25. 16 What is the remainder when 37904 is divided by 9473? 12 Calculate the remainder when 32084 is divided by 131. 120 Calculate the remainder when 149027 is divided by 29802. 17 Calculate the remainder when 24962 is divided by 295. 182 What is the remainder when 10211 is divided by 1466? 1415 Calculate the remainder when 81770 is divided by 13616. 74 Calculate the remainder when 8159 is divided by 6. 5 Calculate the remainder when 1608 is divided by 501. 105 What is the remainder when 88503 is divided by 18? 15 Calculate the remainder when 20000 is divided by 72. 56 Calculate the remainder when 35327 is divided by 1145. 977 Calculate the remainder when 21045 is divided by 2337. 12 What is the remainder when 260096 is divided by 300? 296 What is the remainder when 132466 is divided by 48? 34 Calculate the remainder when 10771 is divided by 366. 157 What is the remainder when 32913 is divided by 26? 23 What is the remainder when 3893 is divided by 854? 477 What is the remainder when 29010 is divided by 26? 20 Calculate the remainder when 74373 is divided by 56. 5 What is the remainder when 425929 is divided by 223? 222 What is the remainder when 7528 is divided by 228? 4 What is the remainder when 29583 is divided by 62? 9 What is the remainder when 1258 is divided by 380? 118 Calculate the remainder when 6168 is divided by 6085. 83 Calculate the remainder when 27017 is divided by 10. 7 Calculate the remainder when 372 is divided by 19. 11 What is the remainder when 135150 is divided by 27030? 0 What is the remainder when 36790 is divided by 72? 70 Calculate the remainder when 1199 is divided by 17. 9 What is the remainder when 17032 is divided by 739? 35 Calculate the remainder when 69540 is divided by 2243. 7 What is the remainder when 221469 is divided by 371? 353 What is the remainder when 41818 is divided by 175? 168 What is the remainder when 39433 is divided by 68? 61 Calculate the remainder when 6556 is divided by 134. 124 Calculate the remainder when 6528 is divided by 71. 67 What is the remainder when 57311 is divided by 43? 35 What is the remainder when 47680 is divided by 2166? 28 Calculate the remainder when 7889 is divided by 655. 29 What is the remainder when 32143 is divided by 19? 14 Calculate the remainder when 12894 is divided by 804. 30 What is the remainder when 20076 is divided by 5017? 8 Calculate the remainder when 131614 is divided by 97. 82 Calculate the remainder when 12463 is divided by 16. 15 What is the remainder when 6998 is divided by 6? 2 What is the remainder when 160654 is divided by 160640? 14 What is the remainder when 71818 is divided by 85? 78 What is the remainder when 20679 is divided by 791? 113 Calculate the remainder when 8014 is divided by 286. 6 What is the remainder when 177065 is divided by 18? 17 What is the remainder when 38509 is divided by 35? 9 Calculate the remainder when 20801 is divided by 34. 27 What is the remainder when 333379 is divided by 348? 343 What is the remainder when 52906 is divided by 443? 189 Calculate the remainder when 1089745 is divided by 363246. 7 Calculate the remainder when 53646 is divided by 61. 27 What is the remainder when 2102 is divided by 39? 35 Calculate the remainder when 6468 is divided by 1716. 1320 Calculate the remainder when 1248 is divided by 875. 373 Calculate the remainder when 4128 is divided by 480. 288 What is the remainder when 65405 is divided by 130? 15 What is the remainder when 69429 is divided by 23140? 9 Calculate the remainder when 229847 is divided by 122. 121 What is the remainder when 1236 is divided by 309? 0 Calculate the remainder when 7015 is divided by 2325. 40 Calculate the remainder when 270 is divided by 213. 57 What is the remainder when 30400 is divided by 6? 4 What is the remainder when 1094 is divided by 244? 118 Calculate the remainder when 329743 is divided by 74. 73 Calculate the remainder when 16370 is divided by 133. 11 Calculate the remainder when 54311 is divided by 355. 351 What is the remainder when 1758 is divided by 465? 363 Calculate the remainder when 7569 is divided by 1079. 16 What is the remainder when 204929 is divided by 162? 161 Calculate the remainder when 9955513 is divided by 1635. 1633 Calculate the remainder when 6956 is divided by 367. 350 Calculate the remainder when 44352 is divided by 35. 7 Calculate the remainder when 1827 is divided by 1761. 66 What is the remainder when 1478 is divided by 78? 74 What is the remainder when 470 is divided by 70? 50 Calculate the remainder when 6107 is divided by 176. 123 Calculate the remainder when 186435 is divided by 93207. 21 What is the remainder when 4920 is divided by 1108? 488 What is the remainder when 699275 is divided by 5506? 13 Calculate the remainder when 282217 is divided by 103. 100 Calculate the remainder when 4986 is divided by 192. 186 Calculate the remainder when 143519 is divided by 363. 134 What is the remainder when 21484 is divided by 10355? 774 What is the remainder when 358298 is divided by 67? 49 What is the remainder when 86942 is divided by 6685? 37 What is the remainder when 1485 is divided by 164? 9 Calculate the remainder when 9297 is divided by 518. 491 What is the remainder when 13673 is divided by 258? 257 Calculate the remainder when 245820 is divided by 1046. 10 Calculate the remainder when 9509 is divided by 596. 569 Calculate the remainder when 1026321 is divided by 34. 31 What is the remainder when 2951758 is divided by 84? 82 Calculate the remainder when 1252 is divided by 124. 12 What is the remainder when 33657 is divided by 90? 87 What is the remainder when 1197 is divided by 75? 72 What is the remainder when 787 is divided by 197? 196 What is the remainder when 53317 is divided by 5331? 7 What is the remainder when 48879 is divided by 1192? 7 Calculate the remainder when 1577 is divided by 565. 447 What is the remainder when 361 is divided by 177? 7 What is the remainder when 5342 is divided by 1197? 554 Calculate the remainder when 27629 is divided by 9206. 11 Calculate the remainder when 7572 is divided by 541. 539 Calculate the remainder when 6052 is divided by 166. 76 What is the remainder when 7657 is divided by 7? 6 What is the remainder when 3264 is divided by 533? 66 What is the remainder when 7102 is divided by 29? 26 Calculate the remainder when 661075 is divided by 210. 205 What is the remainder when 352474 is divided by 32? 26 Calculate the remainder when 189538 is divided by 13. 11 Calculate the remainder when 1540 is divided by 21. 7 Calculate the remainder when 20350 is divided by 2542. 14 What is the remainder when 265065 is divided by 957? 933 Calculate t
{ "pile_set_name": "DM Mathematics" }
+ l. Calculate the greatest common divisor of 90 and k. 30 Suppose 0 = -f + 3*r + 32 + 6, 4*f - 120 = -4*r. Calculate the greatest common factor of f and 4. 4 Let v(g) = -9*g - 35. Let a be v(-7). What is the greatest common divisor of 98 and a? 14 Let r = 27 - 39. Let h = 10 - r. Let i = -13 + 24. Calculate the highest common divisor of h and i. 11 Let w = 29 - 20. Let t(u) = -u**2 + 9*u + 5. Let q be t(w). Calculate the highest common divisor of 35 and q. 5 Let b be ((-50)/(-15))/(2/15) - -1. Let j = 281 - 99. Calculate the highest common factor of j and b. 26 Suppose 0 = 3*n - 6, -g - 2*n + 4*n = -18. Let s = 31 - g. Let l(j) = j**2 + 3*j + 12. Let z be l(s). Calculate the greatest common divisor of z and 12. 12 Suppose 0 = 2*l + 3*l - 4*y, 0 = 4*l - 3*y - 1. Suppose -g - l*w = -10, -g - 46 = -2*g + 5*w. What is the greatest common divisor of g and 13? 13 Let x = -19 - -7. Let y be (-512)/x - 4/6. What is the greatest common divisor of y and 7? 7 Suppose -3*o - 4*a - 16 + 73 = 0, 0 = 2*o - a - 49. Let j be o + (0/3)/(-3). Suppose -2*h = -41 - 5. What is the highest common divisor of j and h? 23 Suppose 2*i - 2162 = -4*x, 2*i + 1069 = 2*x - i. Calculate the highest common factor of 49 and x. 49 Let n = 43 + -34. Let f be 313/5 + 2/5. Calculate the greatest common divisor of f and n. 9 Suppose -2*p = 3*p - 30. Let u(l) = 5*l + 2. Let v be u(p). What is the highest common divisor of 80 and v? 16 Let o(h) = -13*h. Let i be o(-11). Let f be (2/5)/(1/5). Let z be f*((-78)/4)/(-3). What is the greatest common factor of i and z? 13 Let i(m) = m**3 - m**2 - m + 145. Let h be i(0). What is the highest common divisor of h and 58? 29 Suppose -5*m + g = -94, 0 = m + 3*g - 25 + 3. Calculate the greatest common factor of 95 and m. 19 Suppose -8*s + 9*s = 21. Calculate the highest common factor of 28 and s. 7 Suppose -4*n + 32 = -2*g - 154, 48 = n - 2*g. What is the highest common divisor of n and 115? 23 Suppose 3*l - 40 - 50 = 0. Let b = 22 + -12. What is the highest common factor of b and l? 10 Suppose 2*t = -4*x + 1 + 1, t - 9 = 2*x. Let u be x/(-8) + (-46)/(-8). Suppose 2*j - u*j = -168. Calculate the greatest common divisor of j and 6. 6 Suppose -r - 11 = -k, -3*r - 14 - 27 = -4*k. Suppose 9*o = 13*o - 352. Calculate the greatest common divisor of k and o. 8 Suppose i - 180 = -3*u, 9*u = 4*u - 5*i + 300. Calculate the greatest common factor of u and 40. 20 Let m = -387 - -552. Calculate the greatest common divisor of 15 and m. 15 Let v be (-129 - (-4)/4)/(-1). What is the greatest common divisor of v and 16? 16 Suppose -2*j + 5*j = 6. Suppose 325 - 20 = 5*i - 5*z, -3*z = j*i - 97. Calculate the highest common divisor of i and 14. 14 Let w(u) = -3*u**2 + 4*u**2 + 2 + 7*u - 4*u - 2*u. Let j be w(-4). What is the greatest common factor of 126 and j? 14 Suppose -928 = 4*a - 988. Let d be 14/3 + 4/(-6). Suppose b = -d*o + 25, o - b - 10 = -5*b. What is the highest common divisor of a and o? 3 Suppose 8*s - 6*s + 5*c - 3 = 0, 2*c = -6. Calculate the highest common divisor of 99 and s. 9 Let j(t) = -17*t**3 + 1. Let f be j(-1). Let v be -1 - (4/2 - 2). Let z = 8 - v. What is the greatest common divisor of z and f? 9 Suppose 0 = 3*b + 4*m - 19, 4*m + 0*m - 13 = 3*b. Let c = 18 + -34. Let v = c + 27. What is the greatest common factor of b and v? 1 Suppose -22*t + 19*t + 162 = -3*y, -5*t = 3*y - 254. Let p(d) = -32*d + 2. Let g be p(-4). What is the greatest common factor of t and g? 26 Suppose 0 = 5*k + 5*i - 185, 6*i - 5*i + 95 = 3*k. Calculate the highest common factor of 11 and k. 11 Let r(b) = 2*b**2 + 11*b - 4. Let i(t) = t - 2. Let d be i(-6). Let x be r(d). Calculate the highest common factor of 24 and x. 12 Let l(g) = -g**3 - 2*g**2 + g - 4. Let i be l(-3). Let c(y) = -i - 22*y + 1 - 11*y. Let o be c(-2). What is the greatest common divisor of o and 26? 13 Let r(n) = -n**3 - 2*n**2 + 2*n + 2. Let s be r(-4). Let f = 62 - s. What is the greatest common factor of f and 12? 12 Let b = -202 - -287. What is the highest common factor of 51 and b? 17 Let z(q) = -q**2 - 2*q + 3. Let w be z(-3). Suppose 2*v - 8 = -h, 3 = -w*h + 3*h - v. What is the greatest common factor of 5 and h? 1 Suppose -4*p + 15 + 33 = 0. Let c = 6 - 8. Let q be 6/(c*1/(-16)). What is the highest common divisor of p and q? 12 Let s = 4 + 2. Let g be 791/s + 6/36. What is the greatest common factor of g and 12? 12 Let s be (-2)/8 - 663/4. Let l be (-4)/18 - s/18. Suppose 0 = -4*o - 2*w + 42, o - 3 = w + 3. Calculate the highest common factor of o and l. 9 Let l = -19 + 41. What is the greatest common divisor of 2 and l? 2 Suppose 0 = 5*o + 5*s - 55, -5 = -3*o - 2*s + 29. Let h(m) = -m**3 + 5*m - 4. Let x be h(-5). Calculate the highest common divisor of x and o. 12 Suppose -2*q + 22 = 3*w, 0 = -4*w - 0*w - 4*q + 36. Suppose 7*u = w*u + 162. Calculate the highest common factor of u and 18. 18 Let a = -137 - -156. Calculate the greatest common factor of a and 57. 19 Let f = -15 - -15. Suppose f = -w + 1 - 6, -4*w + 116 = 4*z. Calculate the greatest common factor of 17 and z. 17 Let n = 23 + -14. Let x = 8 - 22. Let q = 31 - x. What is the highest common divisor of q and n? 9 Let y(p) = 2*p**2 - 7*p - 1. Suppose 2*n - n = 7. Let i be y(n). Let h = 42 - 26. Calculate the greatest common divisor of i and h. 16 Let l(m) = -2*m**2 - 27*m - 28. Let z be l(-10). Calculate the greatest common divisor of z and 105. 21 Let u = 0 - -16. Suppose 3*c = -c + 40. Let q be (u/5)/(2/c). What is the highest common divisor of q and 40? 8 Suppose 2*d - 3 = -2*l + 21, d = 0. What is the highest common divisor of 3 and l? 3 Let y be 3/(-6) + (-37)/(-2). Calculate the highest common divisor of y and 72. 18 Suppose 6*p + 714 = 13*p. Calculate the greatest common divisor of 34 and p. 34 Let r be 3/(-6)*1*-4. Let j(v) = -2 + v**3 - 2*v**2 - 4 - 6*v - 2*v**r. Let a be j(6). What is the greatest common divisor of a and 75? 15 Let w(k) = 5*k**3 + 2*k**2 - 2*k - 1. Let b be w(-2). Let y = b - -61. Calculate the highest common divisor of 4 and y. 4 Let z(w) = -w**2 - 7*w + 2. Let s be z(-6). Let h be -3 + 3 - (-3 - 1). What is the highest common factor of h and s? 4 Let s(v) = 29*v**2 - 7*v - 3. Let o be s(2). What is the greatest common factor of 66 and o? 33 Let w be (0 + 2)/(0 + -2). Let q be (-4)/w - (-54)/1. Calculate the highest common divisor of 29 and q. 29 Let j(w) = -w + 6. Let s be j(6). Suppose s*o + 12 = 3*o. Suppose -5*m + 5 = -0*m. What is the greatest common divisor of o and m? 1 Let d(v) = 2*v**2 + 2*v. Let b be d(-6). Let h be 1/(-2)*-1*118. Suppose 37 + h = 4*y. Calculate the greatest common factor of y and b. 12 Let l = -5 - -10. Suppose -5*d = -4*g - 0*g + 61, -l*g - d = -40. What is the greatest common factor of g and 3? 3 Let f(z) = 360*z - 1. Let s be f(1). Let a be 9/54 - s/(-6). Calculate the highest common divisor of 12 and a. 12 Let h = -2 - -4. Suppose -8 - 6 = -h*q. What is the highest common divisor of 63 and q? 7 Let t(z) = 2*z**2 + 15*z - 18. Let j be t(-9). What is the highest common factor of 45 and j? 9 Suppose -29 = -5*j + 21. Suppose 2*v - 2 = -3*z, 0 = -3*v - z - 0 + j. What is the highest common factor of v and 4? 4 Let v = 48 - 21. Calculate the greatest common factor of 18 and v. 9 Suppose -6*v = -177 - 303. What is the highest common factor of v and 20? 20 Suppose 3*r + 2*u - 16 = 0, -r + 4*u - 12 = -2*r. Suppose 5*o - 10 = 0, 2*f - r*o - 44 = -0*o. Let n = 76 - 37. What is the highest common divisor of n and f? 13 Let r(h) = h**2 - 4*h - 5. Let g be r(7). Let q = -36 - -68. Calculate the highest common factor of q and g. 16 Let m(x) = x**2 + 4*x + 3. Let h be m(-1). Let o = 0 + 3. Suppose z + o*z + 4*q = 56, h = z - 2*q - 11. What is the greatest common divisor of 13 and z? 13 Let z = -22 - -46. Calculate the highest common divisor of z and 36. 12 Suppose -5*m = -1 + 6. Let f = 3 - m. What is the highest common factor of f and 4? 4 Let z = 97 - 43. Calculate the greatest common factor of z and 6. 6 Let v(y) = 14*y**2 - 6*y - 6. Let s(u) = -u**2 + 3*u + 6. Let x be s(5). Let r be v(x). What is the greatest common divisor of 22 and r? 22 Let s(q) = 5*q + 2. Let l be s(0). Calculate the highest common divisor of l and 10. 2 Suppose -435 = -4*p - 0*p + 3*s, p = 4*s + 125. Ca
{ "pile_set_name": "DM Mathematics" }
z - 26*z - 3*t + 209 + 71 = 0, -3*t + 220 = 4*z for z. 4 Solve 407*k = 5*j + 17*k - 3145, -j + 24540 = -5*k + 24495 for j. 5 Solve 3*f = -3*v - 12, -234*f - 168*f + v + 18 = -396*f for f. 2 Solve 3*n - 98563*p + 39 = -98566*p, 20*n + 5*p = -80 for n. -1 Solve -7474*l = -w - 7475*l + 29, 4*w + 5*l - 16 - 124 = 0 for w. 5 Solve -5*i + 10 + 4 = 4*v - 4*i + 8, 11*v - v = 4*i + 106 for v. 5 Solve 4*a + 2*k = -14, -3*k + 253727 = -a + 253706 for a. -6 Solve 4*j - 1611*u = -1614*u - 91, 3*j + 24 + 102 = -4*u for j. 2 Solve -5*q - 8*r + 34 = 82, r = -2*r - 18 for q. 0 Solve -x - l - 10 = 0, 34*x - 38*x - 21*l = 261 for x. 3 Solve 10*c = -7*c - 3552*d + 3547*d + 321, 0 = 5*d - 15 for c. 18 Solve 18*c = 5*t - 7871 + 8005, 0 = -c - 7*t - 109 for c. 3 Solve 3*p - 36 = 3*j, -2*j + 15*p - 26*p = -171 for j. 3 Solve -2048*i = 3*z - 2051*i + 27, 4*z + 5*i - 16 - 32 = 8*z for z. 3 Solve -16*o + 20*o = 5*m - 114, 26*m + 128 = 29*m - 35*o - 27*o for m. 22 Solve 14 = -2*d, 11*n = 6*n - 33*d - 72 + 63 - 222 for n. 0 Solve -16*y + 300 = -n, -5582 = -4*n - 2*y - 5528 for n. 4 Solve -30*b - 2*q + 103 = -131, 5*b = 5*q + 55 for b. 8 Solve 0 = 12*o - 5*w + 732, -2*o - 122 = -1349067*w + 1349071*w for o. -61 Solve -192*r + 662 = -5*s - 308, -9*r = -12*r - 3*s - 0 + 9 for r. 5 Solve -3*w - b = -27, -44*b - 36 = -4*w - 48*b + 8 for w. 8 Solve 3*x = 608*c - 605*c - 54, -27*c = 4*x + 196 for x. -22 Solve i = -406*f + 395*f - 22, -i - 75*f = 4*i + 130 for i. -11 Solve -4*v + 20 + 1 + 1 = 68*p - 67*p, 4*v = 7*p + 6 for p. 2 Solve s - 39 = 4*w, 17104*w - 6*s + 104 = 17106*w for w. -5 Solve -2*f = 2*o - 10, -5*o + 46874 = -75*f + 46849 for f. 0 Solve -5*b + 0*b = -2*s - b + 14, 18*b + 3*b = -5*s - 27 for s. 3 Solve -2*r + 3*l + 8 = 0, r + 6*r - 119*l + 456 = 5*r for r. 10 Solve -5*z + 8785*h - 1 = 8787*h, -5*z = h + 8 for z. -3 Solve -3*y + 18 = 0, 2*c + 186193*y - 186188*y - 47 = -11 for c. 3 Solve 5*l = 9*i - 86, 9*l - 93 + 269 = -5*i for i. -1 Solve -128259*h + 13 = -128258*h - 2*v, 3*h - 2*v - 31 = 0 for h. 9 Solve -4 = -6776*p + 6777*p + 8*r, 5*p - 3*r + 63 = 0 for p. -12 Solve 346*u - 350*u - 19*z + 19 = 39 + 37, u + 15 = -5*z for u. 0 Solve -61 = 3*b - 0*t + 4*t, -3*b - t - 28 = 21 for b. -15 Solve 4*p = -z - 15, p = 2*z + 378 - 393 for z. 5 Solve 5*x + 2 = 3*y, -289688*y = -289655*y + 2*x - 136 for y. 4 Solve -i = -4*a - 39, 2*i + 4*a - 139 = -276 + 107 for i. 3 Solve -5*p - 60 = b, 0 = 2416*p - 2418*p + 2*b - 36 for p. -13 Solve -3*f = -5*f - 10*v + 6, 9 = 3*f - 281*v + 277*v for f. 3 Solve -2*i + 0 = -15 - 33, -i - 46 = -10*f - 5*i for f. -5 Solve -2*z - 3*z = 4*m - 95, m - 299543 = -4*z - 299467 for z. 19 Solve -b + 2*h - 63 = 12*b, 2*h = -11 + 9 for b. -5 Solve 13570*i - 27146*i - 4*c = -13581*i - 64, 0 = 5*i + 3*c - 13 for i. -4 Solve -m = 0, -82*m + 81*m = x + 43 for x. -43 Solve -7*g = 3*g, -n + 5*n = 2*g - 186 - 22 for n. -52 Solve -11*d = a - 243, 355*d - 359*d = 6*a - 94 for d. 22 Solve 7*o - 216 = -o + 8*a, 3*a = -4*o + 211 - 89 for o. 29 Solve 5*j + 2*r + 3 = 0, -97*r + 4 = -3*j + 102*r - 198*r for j. -1 Solve -101*d - 35*d = -5*x + 15, 46 - 52 = 2*d - 2*x for d. 0 Solve -76*s + 5*i + 75 = -146*s + 73*s, 2*s + 30*i + 12 = -38 for s. 20 Solve 3*n = 0, 22474*k - 2*n = 22475*k for k. 0 Solve 4*q + 312 = 2*s, 4492*q = 4488*q - 2*s - 320 for q. -79 Solve -114*l + 4*z - 270544 = -270112, 0 = 5*z + 30 for l. -4 Solve -28*q - 27*q + 4430 = 5*s - 0*s, 0 = q + 3*s - 96 + 30 for q. 81 Solve -4 = -4*f - 4*y, y = -168*f + 170*f + 1 for f. 0 Solve -2*g + 2*a - 1106 = -1128, -74 = -4*g + 14*a for g. 8 Solve 19 = 3*n + 4*y + 17, -11*n - 2*y - 18 = 0 for n. -2 Solve 3*t = 4*d - t + 20, 9*d + 626*t = 607*t - 157 for d. -9 Solve -7*w + 0*y = -y + 37, 4*y + 217 = w - 0*y + 203 for w. -6 Solve -2*o - 6*o + 3*o - 20 = 0, 110*u - 4*o = -1854 for u. -17 Solve 307874*d = 307878*d - 3*r + 37, 4*d + 219 = 29*r for d. -4 Solve -28 = -l + 2*l - z, 6*l - 3917*z = -3914*z - 159 for l. -25 Solve -4*n - 241 = -35*x, 0*x - 3*x - 133*n + 128*n = -26 for x. 7 Solve -238*j + 241*j + 3*m = 6, -2*j + 7 = 5*m for j. 1 Solve 0*r - 2275 = -3*r - 2260, 4*z = r + 24 + 27 for z. 14 Solve 5*x - 40 = -4*t, 527*x - 532*x - 60 = -16*t for x. 4 Solve 173*q - 23 + 5 = -3*i + 158*q, -3*i = 2*q + 8 for i. -4 Solve 3*x - 5*y + 119 = 0, -2*x + 3338*y - 3341*y = -x - 63 for x. -3 Solve 3*m + 7 + 4 = o, 5*m - 7*o - 1407 = -1452 for m. -2 Solve 46358*v - 46363*v + 62 = 2*u - 5*u, 4*v - 32 = -2*u for v. 10 Solve 14*x + 35 + 83 - 39 = 17*x + 4*l, -x + 16*l - 303 = 0 for x. 1 Solve -154*k + 86 = -153*k - 9*d, 3*k = 7*d + 78 for k. 5 Solve 1469 = -27*v - 4*u, -2*v - 14*u - 35 - 38 - 5 = -24 for v. -55 Solve 0 = 3*r - 33, -4*d - r + 3066 - 3051 = 0 for d. 1 Solve -4*d + 6 = -0*d + 2*p, 788*p - 787*p = 4*d - 3 for d. 1 Solve -p = 3*n + 246 - 174, 0 = n + 36*p + 2 + 129 for n. -23 Solve 0 = 2*r - 5*p - 17, 380*r - 376*r + 36 = -4*p for r. -4 Solve -4*j - h - 291 = -355, h - 863 = -51*j for j. 17 Solve 187 = 15*o - 43*o + 5*g, -33*g + 349 + 343 - 69 = -796 for o. 1 Solve 12*p - 24 = -11*p + 21*p + 5*n, -2*p + 11*n + 24 = 3*n for p. 12 Solve 0*o + 108 - 87 = -3*o + 5*d, -5*o - 4*d = -2 for o. -2 Solve 22*v - 6*v + 28 - 124 = -4*a + 56, 14 = a - 4*v for a. 26 Solve -4*h = 25*z - 27*z - 46, -3*z - h - 4*h + 41 = 0 for z. -3 Solve -4*w = 5*c - 24, 1626896*c - 1626884*c = 3*w + 108 for c. 8 Solve -29*y + 57*y = 23*y - 10, -n - 3*y = 1 for n. 5 Solve 4*k + 103 = -l, -1017*l - k = -1010*l - 8 for l. 5 Solve -5*h + 5*g + 464 = -0*g + 926 - 467, -6*h = 5*g + 16 for h. -1 Solve 0 = 6*b + 4*p - 16, 34*p = b + 83*p - 52*p - 21 for b. 6 Solve 118*j - 114*j - 3*w - 317 = -55, -193 + 20 = -3*j + 2*w for j. -5 Solve -3*u + j = 22, -j + 270 = -57*u - 74*u - 109 - 155 for u. -4 Solve 2*c = -4*i - 0*i + 4, 9*c - 15222*i - 78 = -15220*i for c. 8 Solve -82*v = -2*g - 81*v + 20, g = v + 24 - 9 for g. 5 Solve 5*d - 122 + 3297 + 96 = 193*b, b = -5*d + 27 for b. 17 Solve 1176*x = 1178*x + 9*r + 43, 2*x + 24*r + 9 + 79 = 0 for x. -8 Solve -19 = 2*c - 3*h, 2*c - 37*h + 26*h = -11 for c. -11 Solve -12*f - 114 = -38*x - 7*f, 2*x - 2*f - 2*f = 148 for x. -2 Solve 2*d + 2 = -m + 6, 14 = -24*d + 26*d - 4*m for d. 3 Solve -57*n + b - 723 + 1033 = -0*b, 0 = 2*n + 4*b + 90 for n. 5 Solve 4*a + 13 - 6 = 2*q - q - 1, 0 = -5*q - 20 for a. -3 Solve 3*o = -79*g - 1574, 3229*g - 3225*g = -5*o - 70 for o. 2 Solve -d - 193*x = -198*x - 6, 213 = 10*d + x for d. 21 Solve -7*y - 3*v = -17, -2*y - 4*v + 749 - 743 = -3*v for y. -1 Solve -25*u - 145 = 10*i, 0*u = 2*i - i - 4*u + 47 for i. -27 Solve -2*s - 4395*w = -2138*w - 11275, -5*w = -s - 30 for s. -5 Solve 4*p - 19 - 19 = -2*m, 0 = -p + 220*m - 143*m - 69 - 154 for p. 8 Solve k = -33*d + 433, -4*k + 2*k + 11*d - 8*d = 31 for k. 4 Solve -54*t = -96*t + 47*t + 2*m + 23, 12*m = 4*t + 32 for t. -5 Solve -3*m - 490 = 114*s - 77*s, -3*s - 36 = -m for m. -3 Solve 3*m = 5*f + 40, -4*m = -9*f + 2640 - 2691 for f. 1 Solve 5*c = 2*t - 27, 3*c - t + 165363 = 165348 for c. -3 Solve 0 = 6*u - 2*v + 4, -4*v = 5*u - 124 + 184 for u. -4 Solve 27*a - 22*a - 5 = -6*t, 6*t - 5*a - 60 = a for t. 5 Solve 0 = 2*l - 4*a + 88, 3*l - 334295 = 5*l + a - 334312 for l. -2 Solve -9*f = -5*o + 48, -3*o + 28411*f = 28408*f - 12 for o. -3 Solve 4*z - 34 = 2*j, 8930*z = -2*j + 8935*z - 39 for j. -7 Solve -5*r + 125 = -5*m, -8*m - r + 3050 = 3268 for m. -27 Solve -3*v = -p + 17, 2*p + 80543 = 80565 for v. -2 Solve -5*a + 195 = 4*b, -3*b + 28*a = 23*a + 8 - 128 for b. 45 Solve 0 = -3*s + 6*s + 2*q + 122, 2*q = -551 + 561 for s. -44 Solve 258*p + 3*x = 260*p + 35, -5*p = -13*x + 137 for p. -4 Solve p + 2*h - 37 = 0, p - 237 + 200 = 40*h for p. 37 Solve 7815*l - 7813*l = 2*u + 26, 18*l + 4*u = 190 for l. 11 Solve -64 + 80 = -5*w + 3*b, 84*w - 87*w + 52 = 7*b for w. 1 Solve -9*s - 945 = -4*f, 2*s - 116*f + 111*f + 210 = 0 for s. -105 Solve 17 + 8 = 4*h - 5*l + 50, 0 = 2*h + l + 9 for h. -5 Solve -33*g + 45*g - 5*l = -501, -2*g + 5*l - 59 = -4*l for g. -43 Solve 4*o + 20 = -4*n, 37 = 5*o + 3159*n - 3185*n for o. -3 Solve 664523*l - 5*d = 664527*l + 11, -d + 1 = 4*l for l. 1 Solve d - 20 = -5*j, -4*d - 2*d + 41 = -2*j + 56 + 25 for j. 5 Solve -8*l = -3*m - 504, 5*m + 6177*l - 126 = 6175*l for m. 0 Solve 0 = l + 2, 394 - 363 = -9*q - 2*l for q. -3 Solv
{ "pile_set_name": "DM Mathematics" }
566. 2, 13, 17, 1723 What are the prime factors of 183241? 23, 31, 257 What are the prime factors of 3759929? 19, 197891 What are the prime factors of 2251108? 2, 151, 3727 What are the prime factors of 2117172? 2, 3, 176431 What are the prime factors of 2364346? 2, 137, 8629 What are the prime factors of 155191? 155191 List the prime factors of 6285894. 2, 3, 1047649 What are the prime factors of 19861453? 19861453 What are the prime factors of 147340? 2, 5, 53, 139 What are the prime factors of 15095689? 7, 29, 74363 List the prime factors of 255014. 2, 127507 What are the prime factors of 1784712? 2, 3, 74363 What are the prime factors of 399362? 2, 233, 857 What are the prime factors of 5563966? 2, 2781983 List the prime factors of 809622. 2, 3, 11, 29, 47 List the prime factors of 2970413. 2970413 List the prime factors of 304811. 13, 23447 What are the prime factors of 839578? 2, 419789 List the prime factors of 18236807. 18236807 What are the prime factors of 589828? 2, 147457 What are the prime factors of 18373548? 2, 3, 1531129 List the prime factors of 12360970. 2, 5, 449, 2753 List the prime factors of 19287868. 2, 97, 49711 What are the prime factors of 12679? 31, 409 List the prime factors of 20126889. 3, 61, 601 List the prime factors of 113408. 2, 443 What are the prime factors of 1626418? 2, 813209 What are the prime factors of 4797036? 2, 3, 44417 What are the prime factors of 210060? 2, 3, 5, 389 List the prime factors of 8301136. 2, 277, 1873 List the prime factors of 409427. 383, 1069 What are the prime factors of 4663042? 2, 173, 13477 What are the prime factors of 14214514? 2, 499, 14243 List the prime factors of 3373759. 241, 13999 What are the prime factors of 2325820? 2, 5, 7, 37, 449 List the prime factors of 5351165. 5, 1070233 What are the prime factors of 525549? 3, 167, 1049 List the prime factors of 44846. 2, 17, 1319 What are the prime factors of 13069589? 13, 23, 43711 List the prime factors of 1535102. 2, 767551 List the prime factors of 1508093. 1508093 What are the prime factors of 12382834? 2, 17, 251, 1451 List the prime factors of 653128. 2, 7, 107, 109 List the prime factors of 1122885. 3, 5, 24953 List the prime factors of 364866. 2, 3, 60811 What are the prime factors of 5552019? 3, 11, 56081 What are the prime factors of 1627? 1627 What are the prime factors of 938808? 2, 3, 13, 17, 59 List the prime factors of 424618. 2, 29, 7321 List the prime factors of 30735914. 2, 11, 1397087 List the prime factors of 2866880. 2, 5, 17, 31 List the prime factors of 91402. 2, 23, 1987 What are the prime factors of 2043654? 2, 3, 47, 7247 What are the prime factors of 890400? 2, 3, 5, 7, 53 List the prime factors of 23607781. 17, 1388693 List the prime factors of 12268976. 2, 766811 What are the prime factors of 147417? 3, 49139 What are the prime factors of 23906? 2, 11953 What are the prime factors of 274636? 2, 68659 What are the prime factors of 3245048? 2, 19, 37, 577 List the prime factors of 3252331. 349, 9319 What are the prime factors of 18560907? 3, 43, 73 What are the prime factors of 340248? 2, 3, 14177 List the prime factors of 25479126. 2, 3, 1415507 What are the prime factors of 4614783? 3, 1538261 List the prime factors of 15718787. 7, 2245541 What are the prime factors of 35221667? 13, 2709359 List the prime factors of 248426. 2, 124213 What are the prime factors of 723355? 5, 144671 List the prime factors of 2551810. 2, 5, 255181 List the prime factors of 7731044. 2, 1932761 List the prime factors of 2877927. 3, 13, 109, 677 List the prime factors of 6610696. 2, 773, 1069 List the prime factors of 9960869. 9960869 What are the prime factors of 237341? 13, 18257 What are the prime factors of 2360015? 5, 7, 67429 What are the prime factors of 690647? 599, 1153 What are the prime factors of 5092521? 3, 7, 101 List the prime factors of 269383. 269383 What are the prime factors of 11149023? 3, 3716341 What are the prime factors of 2177537? 2177537 What are the prime factors of 2254220? 2, 5, 269, 419 What are the prime factors of 1897537? 1897537 What are the prime factors of 589623? 3, 196541 List the prime factors of 7474750. 2, 5, 29, 1031 What are the prime factors of 3965821? 23, 172427 List the prime factors of 3896. 2, 487 List the prime factors of 1358566. 2, 11, 37, 1669 List the prime factors of 18164952. 2, 3, 13, 6469 List the prime factors of 2804544. 2, 3, 541 List the prime factors of 22918776. 2, 3, 109, 8761 What are the prime factors of 21360371? 21360371 List the prime factors of 90874. 2, 7, 6491 What are the prime factors of 1417627? 977, 1451 What are the prime factors of 5448261? 3, 7, 13, 2851 What are the prime factors of 443098? 2, 221549 List the prime factors of 540760. 2, 5, 11, 1229 What are the prime factors of 145532? 2, 36383 What are the prime factors of 20771552? 2, 17, 38183 List the prime factors of 78801. 3, 26267 List the prime factors of 2818327. 19, 37, 211 What are the prime factors of 2400709? 2400709 List the prime factors of 362670. 2, 3, 5, 7, 11, 157 What are the prime factors of 79752? 2, 3, 3323 List the prime factors of 22312820. 2, 5, 1115641 List the prime factors of 1618391. 43, 61, 617 What are the prime factors of 8837928? 2, 3, 11, 11159 What are the prime factors of 12128495? 5, 2425699 What are the prime factors of 15094744? 2, 7, 5501 List the prime factors of 156842. 2, 7, 17, 659 What are the prime factors of 3561494? 2, 53, 33599 What are the prime factors of 15038667? 3, 7, 238709 What are the prime factors of 1216487? 199, 6113 List the prime factors of 930071. 930071 What are the prime factors of 3691512? 2, 3, 11, 59, 79 What are the prime factors of 716424? 2, 3, 29851 What are the prime factors of 1982263? 1982263 List the prime factors of 1591149. 3, 7, 17, 4457 List the prime factors of 15884500. 2, 5, 31769 List the prime factors of 8008714. 2, 7, 572051 What are the prime factors of 3728966? 2, 1864483 What are the prime factors of 110497? 47, 2351 What are the prime factors of 4380006? 2, 3, 823, 887 List the prime factors of 403607. 403607 List the prime factors of 787623. 3, 262541 List the prime factors of 1201519. 11, 109229 List the prime factors of 9793356. 2, 3, 816113 What are the prime factors of 1787354? 2, 41, 71, 307 List the prime factors of 2949234. 2, 3, 491539 List the prime factors of 537842. 2, 268921 What are the prime factors of 459383? 459383 What are the prime factors of 267157? 11, 149, 163 List the prime factors of 719407. 13, 55339 What are the prime factors of 7921501? 7, 1131643 List the prime factors of 670485. 3, 5, 44699 What are the prime factors of 677668? 2, 191, 887 List the prime factors of 1738655. 5, 347731 What are the prime factors of 2543092? 2, 223, 2851 List the prime factors of 14471018. 2, 47, 153947 What are the prime factors of 256084? 2, 73, 877 What are the prime factors of 96510? 2, 3, 5, 3217 What are the prime factors of 2925096? 2, 3, 307, 397 What are the prime factors of 13943154? 2, 3, 37, 181, 347 List the prime factors of 4052823. 3, 139, 9719 What are the prime factors of 197741? 197741 What are the prime factors of 4361464? 2, 311, 1753 List the prime factors of 84758. 2, 42379 List the prime factors of 2834282. 2, 11, 128831 List the prime factors of 2319402. 2, 3, 571, 677 What are the prime factors of 8172792? 2, 3, 157, 241 List the prime factors of 489081. 3, 163027 List the prime factors of 822666. 2, 3, 13, 53, 199 List the prime factors of 179099. 179099 List the prime factors of 531591. 3, 79, 2243 What are the prime factors of 135536? 2, 43, 197 List the prime factors of 247160. 2, 5, 37, 167 What are the prime factors of 6584894? 2, 67, 157, 313 What are the prime factors of 77087? 157, 491 List the prime factors of 1881369. 3, 7, 29863 List the prime factors of 88279. 43, 2053 List the prime factors of 4813481. 67, 71843 What are the prime factors of 1275560? 2, 5, 11, 13, 223 List the prime factors of 66109. 66109 List the prime factors of 159760. 2, 5, 1997 What are the prime factors of 2606075? 5, 104243 List the prime factors of 439069. 41, 10709 List the prime factors of 156004. 2, 43, 907 What are the prime factors of 19326105? 3, 5, 429469 List the
{ "pile_set_name": "DM Mathematics" }
enominator of -3/518 and -83/1036? 1036 Find the common denominator of 23/1893 and 59/8. 15144 Calculate the common denominator of 33/2 and 93/70. 70 What is the common denominator of 62/231 and -73/1221? 8547 What is the lowest common multiple of 2472 and 515? 12360 What is the least common multiple of 63 and 63? 63 What is the least common multiple of 114 and 2603? 15618 What is the smallest common multiple of 3 and 204? 204 What is the lowest common multiple of 12 and 830? 4980 Calculate the smallest common multiple of 24 and 40. 120 Calculate the lowest common multiple of 36 and 90. 180 Find the common denominator of 29/78 and -5/42. 546 Calculate the least common multiple of 11 and 55. 55 Calculate the common denominator of 10 and 22/805. 805 Calculate the lowest common multiple of 6 and 10744. 32232 Calculate the common denominator of -36/17 and 113/2584. 2584 Calculate the common denominator of 13/10 and -49/995. 1990 Calculate the common denominator of 49/30 and -62/9. 90 Find the common denominator of -73/410 and -69/50. 2050 What is the common denominator of -27/10 and -13/10? 10 What is the smallest common multiple of 550 and 715? 7150 What is the common denominator of -11/36 and -23/318? 1908 Calculate the smallest common multiple of 1303 and 11. 14333 Find the common denominator of 79/1892 and -91/44. 1892 Calculate the common denominator of 37/22 and -47/156. 1716 What is the common denominator of -133/6684 and 1/12254? 73524 What is the common denominator of -11/170 and 63/5? 170 What is the common denominator of 13/30 and -11/6? 30 Calculate the lowest common multiple of 175 and 1600. 11200 Calculate the least common multiple of 425 and 30. 2550 Calculate the common denominator of 13/3105 and -123/20. 12420 What is the smallest common multiple of 516 and 10? 2580 Calculate the least common multiple of 1248 and 1092. 8736 Calculate the common denominator of -77/426 and 85/1136. 3408 What is the smallest common multiple of 790 and 2133? 21330 Calculate the common denominator of -37/120 and -48/115. 2760 Calculate the common denominator of 127/18 and 38/27. 54 Find the common denominator of 44/2565 and -119/1710. 5130 Calculate the least common multiple of 8 and 249. 1992 Calculate the common denominator of 71/44 and -41/440. 440 Calculate the lowest common multiple of 9 and 74. 666 Calculate the lowest common multiple of 190 and 215. 8170 What is the common denominator of 61/4 and -50/399? 1596 Find the common denominator of -89/2 and -51/80. 80 Calculate the least common multiple of 110 and 20. 220 What is the smallest common multiple of 258 and 258? 258 Calculate the lowest common multiple of 8 and 482. 1928 Find the common denominator of 103/60 and 17/5. 60 Find the common denominator of 8 and 40/4601. 4601 Calculate the least common multiple of 9630 and 7704. 38520 What is the smallest common multiple of 102 and 24? 408 Calculate the least common multiple of 1 and 196. 196 What is the smallest common multiple of 3596 and 580? 17980 What is the common denominator of 31/22 and 121/120? 1320 Find the common denominator of -59/1526 and 81/14. 1526 Calculate the lowest common multiple of 278 and 2224. 2224 Calculate the smallest common multiple of 90 and 93. 2790 Calculate the common denominator of -109/30 and -16/33. 330 Calculate the lowest common multiple of 3 and 39. 39 Find the common denominator of 19/36 and -35/12. 36 What is the lowest common multiple of 442 and 10? 2210 Find the common denominator of 11/4 and -97/42. 84 Calculate the smallest common multiple of 36 and 360. 360 What is the lowest common multiple of 5 and 923? 4615 What is the least common multiple of 20 and 370? 740 Calculate the lowest common multiple of 645 and 3. 645 Calculate the common denominator of -8/15 and -117/1030. 3090 Find the common denominator of 97/30 and -26/125. 750 Calculate the least common multiple of 805 and 42. 4830 Find the common denominator of 119/618 and -39/22. 6798 What is the lowest common multiple of 18 and 36? 36 Find the common denominator of -41/87 and -45/11. 957 What is the common denominator of 7/360 and 49/360? 360 Calculate the least common multiple of 30 and 1179. 11790 Calculate the common denominator of 67/24 and -133/132. 264 Calculate the common denominator of -23/192 and 91/24. 192 What is the lowest common multiple of 3702 and 8? 14808 Calculate the smallest common multiple of 6 and 157. 942 Calculate the lowest common multiple of 35 and 3. 105 What is the common denominator of 81/968 and 63/44? 968 Calculate the common denominator of -5/4096 and 17/6. 12288 What is the lowest common multiple of 3 and 84? 84 What is the smallest common multiple of 789 and 10? 7890 Calculate the lowest common multiple of 296 and 20. 1480 Find the common denominator of -45/269 and -23/11. 2959 What is the least common multiple of 19737 and 108? 78948 Find the common denominator of -46/553 and 54/7. 553 Find the common denominator of -35/76 and -73/16. 304 What is the lowest common multiple of 22 and 20? 220 What is the common denominator of -107/290 and 9/232? 1160 Calculate the lowest common multiple of 78 and 42. 546 What is the least common multiple of 6152 and 9? 55368 Calculate the common denominator of -75/14 and 47/2. 14 Find the common denominator of 11/5000 and -29/3750. 15000 Calculate the smallest common multiple of 27 and 279. 837 What is the least common multiple of 48 and 198? 1584 Find the common denominator of 23/8 and 155/2184. 2184 Find the common denominator of 86/189 and -58/567. 567 What is the smallest common multiple of 3 and 786? 786 Calculate the lowest common multiple of 114 and 30. 570 Calculate the lowest common multiple of 3 and 30. 30 What is the lowest common multiple of 135 and 81? 405 Calculate the common denominator of 117/70 and 157/756. 3780 What is the smallest common multiple of 28 and 56? 56 Calculate the smallest common multiple of 7092 and 12. 7092 Calculate the lowest common multiple of 185 and 20. 740 What is the common denominator of -76/3 and 53/2469? 2469 Calculate the common denominator of -51/8 and 99/2. 8 What is the common denominator of 61/6 and -41/518? 1554 What is the lowest common multiple of 26 and 78? 78 Calculate the least common multiple of 3 and 1542. 1542 Find the common denominator of -11/8 and -95/12. 24 What is the common denominator of -191/2520 and -97/9450? 37800 Calculate the lowest common multiple of 160 and 64. 320 What is the common denominator of -49/130 and -43/9984? 49920 What is the smallest common multiple of 2448 and 34? 2448 What is the smallest common multiple of 6 and 1344? 1344 Find the common denominator of 61/38 and 23/34. 646 What is the common denominator of 71/3393 and 71/5278? 47502 Find the common denominator of -50/159 and -1/32. 5088 Calculate the smallest common multiple of 2370 and 79. 2370 Calculate the common denominator of 19/9 and -121/360. 360 Calculate the smallest common multiple of 16 and 10. 80 What is the common denominator of -53/76 and -123/40? 760 Calculate the common denominator of 43/30 and 113/60. 60 What is the common denominator of -41/550 and -83/70? 3850 What is the lowest common multiple of 240 and 312? 3120 Calculate the common denominator of 64/3025 and 27/440. 24200 Calculate the least common multiple of 16 and 10644. 42576 Calculate the lowest common multiple of 12 and 711. 2844 What is the lowest common multiple of 48 and 54? 432 Calculate the lowest common multiple of 2212 and 14. 2212 Calculate the smallest common multiple of 2784 and 2. 2784 Find the common denominator of -113/70 and 133/6. 210 What is the common denominator of 91/96 and -89/72? 288 Find the common denominator of -77/278 and 15/2641. 5282 Calculate the common denominator of -53/518 and -83/20. 5180 Calculate the lowest common multiple of 56 and 40. 280 What is the common denominator of 101/1638 and 5/126? 1638 What is the least common multiple of 6 and 66? 66 What is the common denominator of 19/1152 and -113/2880? 5760 Calculate the common denominator of 91/36 and -19/44. 396 Calculate the common denominator of -163/360 and -47/520. 4680 What is the lowest common multiple of 4 and 40? 40 Calculate the least common multiple of 52 and 4. 52
{ "pile_set_name": "DM Mathematics" }
Four letters picked without replacement from ffffff. Give prob of sequence ffff. 1 Two letters picked without replacement from {y: 3, p: 4, z: 3, t: 10}. Give prob of sequence tt. 9/38 Calculate prob of sequence rssp when four letters picked without replacement from {s: 3, z: 1, p: 1, r: 1, k: 5}. 1/1320 Calculate prob of sequence oln when three letters picked without replacement from dnoyoyunyydnounlounn. 1/285 What is prob of sequence ha when two letters picked without replacement from kklhahalaaklkhha? 1/12 Calculate prob of sequence pple when four letters picked without replacement from eeepeeleleepee. 5/3003 Calculate prob of sequence dd when two letters picked without replacement from {d: 9, m: 1, y: 1}. 36/55 What is prob of sequence ubmj when four letters picked without replacement from {b: 1, x: 1, j: 2, u: 2, m: 1}? 1/210 What is prob of sequence tr when two letters picked without replacement from {i: 1, t: 1, r: 1, v: 1, u: 1, l: 2}? 1/42 What is prob of sequence dkdk when four letters picked without replacement from kqqkkkkkfqqkdqkkkdfq? 1/646 Calculate prob of sequence ldd when three letters picked without replacement from {l: 5, d: 2}. 1/21 Three letters picked without replacement from aqggqqqkqdmad. Give prob of sequence add. 1/429 Calculate prob of sequence txq when three letters picked without replacement from {x: 2, q: 3, b: 1, t: 4, s: 2}. 1/55 Four letters picked without replacement from {f: 7, s: 2, b: 3}. What is prob of sequence bbfb? 7/1980 What is prob of sequence jbj when three letters picked without replacement from {j: 3, b: 1}? 1/4 Calculate prob of sequence kk when two letters picked without replacement from ndnkkkjknknjkdjnk. 21/136 Two letters picked without replacement from {g: 1, b: 1, i: 1, f: 1, v: 1}. Give prob of sequence fb. 1/20 Three letters picked without replacement from {b: 3, v: 1, j: 1, l: 1, x: 5, z: 6}. What is prob of sequence zjx? 1/136 Calculate prob of sequence bvb when three letters picked without replacement from {k: 1, v: 1, z: 4, b: 2}. 1/168 Four letters picked without replacement from nnltrlnnlcntttctnnrc. Give prob of sequence tctn. 7/1938 Calculate prob of sequence eepg when four letters picked without replacement from pmeegespssmmnp. 3/4004 Calculate prob of sequence ttm when three letters picked without replacement from ipititmpm. 1/126 Four letters picked without replacement from ahaaahaa. What is prob of sequence haaa? 1/7 Calculate prob of sequence yyyy when four letters picked without replacement from yyyyyyyyyy. 1 What is prob of sequence phuu when four letters picked without replacement from {u: 3, p: 6, h: 1, j: 2}? 1/330 Two letters picked without replacement from pcaai. What is prob of sequence pi? 1/20 What is prob of sequence ydyy when four letters picked without replacement from {d: 6, y: 7}? 21/286 Calculate prob of sequence dl when two letters picked without replacement from zzzzlzdlzlllz. 5/156 Two letters picked without replacement from {r: 4, k: 4, g: 7}. Give prob of sequence rr. 2/35 What is prob of sequence nh when two letters picked without replacement from {c: 1, y: 4, r: 7, h: 3, n: 1}? 1/80 Two letters picked without replacement from tvv. Give prob of sequence vt. 1/3 Two letters picked without replacement from {q: 1, p: 1, l: 6, y: 5, g: 1}. Give prob of sequence pq. 1/182 What is prob of sequence htvv when four letters picked without replacement from vtvttththhtht? 7/2145 Calculate prob of sequence xg when two letters picked without replacement from {v: 1, n: 1, h: 1, i: 1, x: 1, g: 2}. 1/21 Four letters picked without replacement from nnlsnknssnsnhknh. What is prob of sequence nnkl? 1/520 Four letters picked without replacement from xdqlxdt. What is prob of sequence dxdl? 1/210 What is prob of sequence hh when two letters picked without replacement from hhhjhhhhuhhhlj? 45/91 Calculate prob of sequence tb when two letters picked without replacement from {t: 5, b: 3, g: 3}. 3/22 Calculate prob of sequence pif when three letters picked without replacement from {i: 3, p: 1, h: 1, v: 1, f: 5}. 1/66 What is prob of sequence ac when two letters picked without replacement from ycyayyc? 1/21 Two letters picked without replacement from oqqugxr. Give prob of sequence og. 1/42 Two letters picked without replacement from {a: 7}. What is prob of sequence aa? 1 Four letters picked without replacement from okkefoo. What is prob of sequence kfok? 1/140 What is prob of sequence oik when three letters picked without replacement from {i: 2, k: 3, p: 2, x: 2, o: 2, u: 6}? 1/340 Three letters picked without replacement from {o: 1, g: 2, j: 3, h: 6}. Give prob of sequence ohg. 1/110 Calculate prob of sequence vi when two letters picked without replacement from ihsshihihhhihivhih. 1/51 Three letters picked without replacement from {z: 3, a: 1}. What is prob of sequence azz? 1/4 Three letters picked without replacement from kzdkkokkdkdkkkdko. What is prob of sequence ozo? 1/2040 Two letters picked without replacement from afnrraanedr. Give prob of sequence na. 3/55 Three letters picked without replacement from bbbbilxnbibbnxb. What is prob of sequence xxi? 2/1365 What is prob of sequence xtn when three letters picked without replacement from {n: 1, c: 3, x: 7, t: 3}? 1/104 Two letters picked without replacement from {o: 9, g: 5}. What is prob of sequence go? 45/182 What is prob of sequence bm when two letters picked without replacement from {m: 4, b: 3}? 2/7 Three letters picked without replacement from {e: 10, x: 10}. Give prob of sequence eex. 5/38 Two letters picked without replacement from buihhhiaiuai. Give prob of sequence ia. 2/33 Four letters picked without replacement from {w: 2, x: 3, b: 2, g: 2}. What is prob of sequence bwxb? 1/252 Two letters picked without replacement from ylvlelallvlhhlllal. What is prob of sequence yv? 1/153 Calculate prob of sequence zs when two letters picked without replacement from {z: 4, s: 3}. 2/7 What is prob of sequence aau when three letters picked without replacement from aaaauaaaaaaa? 1/12 Three letters picked without replacement from {j: 11, a: 1, s: 2}. Give prob of sequence jaj. 55/1092 Calculate prob of sequence xvv when three letters picked without replacement from xxkkrxrvv. 1/84 Two letters picked without replacement from gygggyygggygygggyg. Give prob of sequence gg. 22/51 Calculate prob of sequence ta when two letters picked without replacement from {a: 5, t: 3}. 15/56 Two letters picked without replacement from wwwwwcwwwwcwwwwcwwww. Give prob of sequence ww. 68/95 Calculate prob of sequence lhpi when four letters picked without replacement from {i: 7, l: 1, p: 1, w: 3, h: 1}. 7/17160 Four letters picked without replacement from {r: 3, g: 1, c: 9, n: 2, z: 2}. What is prob of sequence zrcr? 9/4760 Three letters picked without replacement from {x: 11, k: 1, p: 2}. What is prob of sequence xpx? 55/546 Calculate prob of sequence fp when two letters picked without replacement from phgfy. 1/20 Two letters picked without replacement from {l: 1, j: 1, y: 1, b: 2, w: 2}. What is prob of sequence wj? 1/21 What is prob of sequence mr when two letters picked without replacement from {r: 4, p: 1, m: 3}? 3/14 What is prob of sequence xux when three letters picked without replacement from uhxuuuxxhuhxbu? 3/91 Two letters picked without replacement from {h: 10, u: 10}. What is prob of sequence hu? 5/19 Three letters picked without replacement from ceeiizjhhheeeji. Give prob of sequence eih. 3/182 Two letters picked without replacement from {v: 2, d: 1, j: 1, y: 3}. What is prob of sequence vy? 1/7 Three letters picked without replacement from {q: 2, d: 1, j: 1, m: 1, z: 2}. Give prob of sequence qzz. 2/105 Two letters picked without replacement from lpbb. What is prob of sequence bl? 1/6 Calculate prob of sequence rraa when four letters picked without replacement from {b: 4, r: 10, a: 2}. 3/728 What is prob of sequence jj when two letters picked without replacement from ookjjoook? 1/36 Calculate prob of sequence iv when two letters picked without replacement from iviiiiiiiiii. 1/12 Three letters picked without replacement from {e: 2, l: 1, u: 1}. Give prob of sequence ule. 1/12 What is prob of sequence mm when two letters picked without re
{ "pile_set_name": "DM Mathematics" }
f, 1, -3, c? -3 Suppose 11*s = 9963 - 9952. What is the biggest value in -0.1, -0.2, s, -0.5? s Let o = -16586 + 182444/11. Which is the biggest value? (a) o (b) -1/7 (c) 2 c Let m = 1.079 - 1.119. What is the biggest value in -92, 2, m? 2 Let t = -0.03 - 7.97. Let f = 340 + -401. Let z = 61.1 + f. What is the second biggest value in z, t, 0.4? z Let v = -1.5 + 5.5. Let j = 423 - 422.94. Let q = 121 - 1085/9. Which is the third smallest value? (a) j (b) q (c) v (d) 2/5 b Let i = -5.4 + 2.85. Let w = i + 2.55. Which is the second smallest value? (a) 4 (b) 1/4 (c) -1/5 (d) w d Let r = -885.5 + 885. Let k be (-1 - 1)*(-4)/(-1 - -17). What is the biggest value in r, 1/3, -7, k? k Suppose 39*s - 20*s = 9*s - 40. What is the second smallest value in 2/3, -5, s, 5? s Let k = -10202 + 132624/13. What is the third biggest value in 2/99, 3, k? k Let f = 12/1711 - 1735/3422. What is the smallest value in -7, -0.2, f, 5, -29? -29 Let f = 21310 - 149172/7. What is the smallest value in f, 28, -0.4, -1/9? -0.4 Suppose -28*h + 11*h + 68 = 0. Suppose h*b = 3*z - 2, -4*b - 3*z + 6 = 20. What is the smallest value in 3, -7, b? -7 Let l = 2/147 - 25/637. Let w = l - -14/39. Which is the smallest value? (a) -3 (b) 20 (c) w a Let d = -365 + 366. Which is the biggest value? (a) d (b) 1107 (c) -0.5 b Let r = -0.04 - -0.54. Let j = 2.35662 - 0.35662. What is the fourth smallest value in j, r, -4, 2/11? j Let a = 153 - 77. Let c be (-26)/(-195) - a/(-120)*-1. What is the third smallest value in -6, 0.4, -2/23, c? -2/23 Let g be 0 + 0 - 7*-2. Suppose -s - m - 5 = -8, -5*m + 23 = -3*s. What is the fourth smallest value in g, -2/3, -4/3, s? g Let t = -120.871 + 121.9. Let q = -0.271 - t. Let g = -3 - -2.8. What is the third biggest value in -4, g, q? -4 Let o = 0.02695 + 0.02305. Which is the smallest value? (a) 4 (b) -0.1 (c) 1/6 (d) o (e) -3/2 e Let q be (-13)/(-52) - (-57)/(-36) - (-308)/168. Which is the second biggest value? (a) -0.4 (b) q (c) -1/4 (d) -2/33 (e) 0.1 e Let x = 1914 - 1913.5. Let z = -0.08 - -0.13. Let w = 1.05 - z. Which is the biggest value? (a) x (b) 15 (c) w b Let h = 8.5955 + -5.5955. Let a(g) = -g**3 + 4*g**2 - 2. Let y be a(3). What is the second biggest value in h, -0.1, y? h Let i = 1844 + -147517/80. Let z be ((-2)/(300/15))/(8/45). Let w = i - z. Which is the third smallest value? (a) w (b) -3 (c) 1 c Let c = 3622 + -3647. What is the third smallest value in 3/8, c, -4, 3? 3/8 Let m = 1.6 + -0.6. Let p be 77868/315 - (-8)/10. Let z = -742/3 + p. Which is the biggest value? (a) -1/2 (b) z (c) m (d) -1/4 c Let t be ((-2540)/(-8))/5 + (-4)/(-8). Suppose -43*v - t = -322. What is the smallest value in -4/11, v, 1/6? -4/11 Let y = 1459/5 - 1462/5. Let w be 12/(-36)*(-6)/(-10). What is the third smallest value in y, w, -94? w Let g = 38.1 + -38.5. Let t be -10 + 12 + 2 + 0. Let r be -3 + t + 33/6. Which is the smallest value? (a) r (b) 4 (c) g c Let b = -532 - -12234/23. Let f = 4.56 + 0.44. What is the smallest value in b, f, 3? b Let y = -12393 + 86753/7. What is the biggest value in 4, -3, -5, y, -2? 4 Let s = 4.4926 - 0.4926. Which is the second biggest value? (a) s (b) -0.2 (c) 0 (d) -0.46 (e) 3/5 e Suppose 68 - 242 = -x. Let n be x/90 + -1 - (-3)/(-9). What is the biggest value in 0.04, 4, n, 2? 4 Let q = 0 - -4. Let d = 2260.09 - 2260. Which is the biggest value? (a) -4 (b) q (c) d b Let l = 373.4 + -373.9. Let i = 0.04 - 0.24. Which is the third smallest value? (a) i (b) -5 (c) 0.5 (d) l a Let n = -0.34 - -27.34. Let z = 22 - n. Let h = -4 - z. Which is the third smallest value? (a) 2/7 (b) h (c) -3 b Let g = 3 - 3.4. Let s = -143/25 - -1051/175. What is the third smallest value in g, -5, 0.01, s? 0.01 Let u be ((-1)/14)/((-25)/((-2625)/30)). Which is the fourth smallest value? (a) u (b) -0.05 (c) 4 (d) -0.021 (e) 1 e Let y be ((-1)/4)/(-11 - 970/(-80)). Let q(u) = u - 1. Let c be q(3). Let g(l) = -2*l + 5. Let x be g(c). What is the third biggest value in x, 0.1, y? y Let i = 355.69 + -355.7. Which is the fifth smallest value? (a) 6 (b) i (c) -1/2 (d) 3/2 (e) -3 a Suppose -3*f - 3 = -18. Let d = -39042 + 39041.7. Which is the smallest value? (a) -1/8 (b) d (c) f b Let b = -1704.05 - -1709.05. Let y = 20.5 - 11. What is the second biggest value in b, -4/9, y? b Let w = -1.5 - -2. Let s = -42 - -41.4. Let g = -0.66 - s. Which is the second biggest value? (a) w (b) g (c) 0 c Let k be 1 - (0 + (2 - -2)). Let h = -299/404 + -1/101. Let q be (10/65)/(-3*(-1)/(-3)). Which is the second smallest value? (a) k (b) h (c) q b Let t = 171.285 + -171. Let x = t - -0.015. Which is the biggest value? (a) x (b) -12 (c) 0 (d) 3/4 d Let m = 479 + -363. What is the biggest value in m, -2, 6? m Let l = -46.4 + 46.4. Let m be 146/(-470)*-4 - 2. Let j = 2/47 - m. What is the third smallest value in l, -4, j? j Let t = -1.602 + 1.202. Let x = 28 + -25. Suppose 2 = -3*i + 2*i. Which is the third biggest value? (a) x (b) i (c) 1 (d) t d Let z = -147771/1240 - -953/8. Let r = -3/341 - z. Let q = 6 - 1. Which is the second biggest value? (a) r (b) -1 (c) q a Let l be 4*(-4)/(-4) - (-3258)/(-810). Which is the second biggest value? (a) 0.2 (b) -4 (c) l c Let g = 85 + -166. Let x = -80.9 - g. Let c = 13/253 - -3/23. What is the third smallest value in x, -0.05, c? c Suppose 0 = -2*i - 4*y - 8, 2*i + 47 - 36 = -5*y. Which is the fourth biggest value? (a) i (b) 0.3 (c) 8/7 (d) -0.4 (e) -0.06 e Let z be (2*(-37)/2)/(-1). Let i = 59 - z. Let t be i/99 - (-29)/(-9). Which is the third biggest value? (a) 1/2 (b) t (c) 2 b Suppose 235 = 6*h + 55. Let z be 12/h*6/(-9). Let l = z - 17/105. Which is the third smallest value? (a) 2/5 (b) l (c) 1 c Let t = 17 + -12. Let n be 52/14 + 2 + 8/28. Suppose 4*k - 2 = -2*f - n, 0 = t*k + 5*f. Which is the third biggest value? (a) k (b) -1/6 (c) 4 a Let g = -1104.3 + 1104.4. What is the second biggest value in -0.4, -1/3, 14, g, 1? 1 Suppose -4*w + 5 + 7 = 0. Let m be (10/w)/(1/3). Suppose i = -u + 5, 3*u + i = 5*u - m. What is the third biggest value in -8, -1/3, u? -8 Let g = 31 - 52. Let q be (1/2)/(g/(-28)). Let m be 42/252*(-1 + 2). Which is the third smallest value? (a) -2 (b) q (c) m b Let m = -81 - -122. Let i = -6 + m. Let l = -22 + i. Which is the biggest value? (a) 2 (b) 0.5 (c) l (d) -1 c Let i = -38 - -25.5. Let g = 257.4 + -260.9. Let j = i - g. What is the second smallest value in 3, -0.4, j? -0.4 Let o = -0.078 - -3.078. Let v be (-2)/6 + (-4)/(-12)*25. Let r be (-2 - 0) + (v/7 - -1). What is the biggest value in o, -20, r, -0.2? o Let v be -8 - (-6 - (-21)/(-10)). Which is the smallest value? (a) 2/45 (b) v (c) -0.1 c Let s = 25/39 + -769/1443. Which is the second biggest value? (a) 0.2 (b) s (c) 4/3 a Let u be (144/(-54) + -14)*1*(-3)/2. What is the second biggest value in u, -0.3, -6, -2? -0.3 Let h = -1666 + 1757. Let d = 0.145 + 0.155. Which is the third smallest value? (a) -1/2 (b) h (c) d b Let g = -191 - -389. Let x = g + -198.05. Which is the biggest value? (a) -1/4 (b) 3 (c) x b Suppose -10 + 0 = -2*t. Let d = -18.893 + 5.893. Which is the smallest value? (a) 1 (b) t (c) d c Let t = 0.5 + -0.4. Let b = 129 + 18. Let j = b + -149. What is the fourth biggest value in 11/3, t, j, -2/9? j Let v be 7/(21/(-6)) + 0 + -784. Let l = -112400/143 - v. Let p = -133/715 + l. Which is the third smallest value? (a) 0.8 (b) 2 (c) p b Let n = -2738.93 - -2739. Which is the second smallest value? (a) 57 (b) n (c) 0.4 c Let f = 154 + -153.801. Let s = f + -0.399. Which is the second biggest value? (a) 1/84 (b) s (c) 2 a Let w = -0.2 + 0.6. Let h = 953396 - 3813581/4. Let u be (-14)/24 + (-2)/(-8). What is the biggest value in -2/7, u, h, w? h Let q(d) = -12*d**2 + 2*d + 2. Let m be q(-1). Let j be 4/(-48) - (-3)/m. What is the third smallest value in 4, 3, j, 7? 4 Let u be (-17)/35 - 9/(-45). Let k(y) = -y**2 + 22*y - 16. Let w be k(19). Let n = w + -45. Which is the second biggest value? (a) n (b) -2 (c) u (d) 2/7 c Let n = 54.35 + -55. Let i = n + 0.85. Let p be 1/8 - 50/16. What is the third smallest value in -1/4, -0.5, i, p? -1/4 Let k = -264.034 - -264. Let t = 0.004 + k. Which is the
{ "pile_set_name": "DM Mathematics" }
88*n - 59. Let x(h) = -102*h - 20. Let f(b) = 6*m(b) - 17*x(b). Give -4*f(d) + 5*j(d). d - 9 Let n(b) = 2 + 6 - 2 + b. Let f(p) = -1. Let r(g) = 7. Let d(l) = -5. Let q(t) = -3*d(t) - 2*r(t). Let o(v) = 3*f(v) + q(v). Give 2*n(w) + 5*o(w). 2*w + 2 Let x(j) = j + 1. Let v(p) = -4*p - 1. Let z(h) = -h**3 - 37*h**2 - 158*h + 9. Let q be z(-5). Give q*v(a) - x(a). 3*a Suppose -620*l = -615*l - 20. Let i be (-14 + -2)/l + 1 + -4. Let r(m) = 21*m**2 - 7. Let h(j) = -14*j**2 + 5. Calculate i*h(d) - 5*r(d). -7*d**2 Let k(s) = 932 - 33 - 899 - 80*s. Let w(d) be the third derivative of -d**4/8 + d**2. Give 4*k(v) - 110*w(v). 10*v Let o(u) = -4*u**3 - 8513*u**2 - 5*u + 160. Let v(x) = 6*x**3 + 12770*x**2 + 7*x - 224. What is 7*o(r) + 5*v(r)? 2*r**3 + 4259*r**2 Let x(n) = -9*n**3 - 3*n**2 - 3. Suppose -l = 3*w + 9, 7 = 2*l - l - 5*w. Let m(a) = -8*a**3 - 2*a**2 - 2. Let t = 170515 + -170513. Give l*m(c) + t*x(c). 6*c**3 Let p(t) = -3*t**2 + 5*t + 6. Let w(o) = 56*o**2 + 19*o + 25. Let l(m) = -24*m**2 - 10*m - 13. Let x(z) = -9*l(z) - 4*w(z). Determine -11*p(i) + 4*x(i). i**2 + i + 2 Let s(z) = -2. Let c be ((-6)/12)/(2/28). Let p(a) = -1. Let j(l) = c*p(l) + 2*s(l). Let q(i) = i + 4. Suppose -10908 + 10808 = 25*g. Calculate g*j(r) + 3*q(r). 3*r Let q(w) = -35*w**2 + 6*w + 27. Let a(h) = 6*h**2 - h - 5. Let p(i) = 6*a(i) + q(i). Let n(o) = -o**2 - 1. Give -12*n(l) + 4*p(l). 16*l**2 Let n(z) = 10*z - 81. Let i(m) = 43*m - 354. Let d(v) = 2*i(v) - 9*n(v). Let b(t) = -2*t + 10. Determine 7*b(h) - 3*d(h). -2*h + 7 Let x(b) = 3*b. Let j(l) = -l - 128. Give -j(w) - x(w). -2*w + 128 Let o(n) = 9*n**3 - 4*n**2 - 8*n + 281. Let g(r) = 11*r**3 - 5*r**2 - 10*r + 280. What is 4*g(k) - 5*o(k)? -k**3 - 285 Let g(f) = 11 + 18 + f + 13 - 37. Let l be 2 - 1 - (2 - 1). Suppose 0 = 4*t - 0*u - u - 7, 2*t + 2*u + 4 = l. Let p(c) = c + 1. What is t*g(y) - 2*p(y)? -y + 3 Let r(a) = -18*a + 214. Let c be r(12). Let l(j) = -3*j - 7. Let y(v) = -4*v - 8. Give c*y(g) + 3*l(g). -g - 5 Let y(k) = k - 1. Let n be 6/(-6)*(7 - 8). Suppose 10*v - 11*v - 3*b = -19, -9 = 4*v - 5*b. Let o(i) = -6*i + 8. What is n*o(x) + v*y(x)? -2*x + 4 Let x(j) = -j**3 - j**2 - j. Let o(k) = -47*k**3 - 6*k**2 - 6*k. Suppose -5*p = 3*l + 48, 27*p - 24 = 28*p + 3*l. What is p*x(u) + o(u)? -41*u**3 Let g be (-3)/(-2)*1*2. Let v(o) be the first derivative of -2*o - 18313. Let q(n) be the third derivative of -n**5/60 + n**3/2 - 3*n**2. Give g*v(b) + 2*q(b). -2*b**2 Let s(r) = 10*r**3 + 2*r**2 - 3*r - 314. Let p(b) = -23*b**3 - 5*b**2 + 7*b + 629. Give 3*p(t) + 7*s(t). t**3 - t**2 - 311 Let g(y) = 1941*y + 53. Let x(b) = -648*b - 19. What is 4*g(d) + 11*x(d)? 636*d + 3 Let u(z) = -5*z - 11. Let g(m) = m**3 - 13*m + 12. Let h be g(6). Let v = 152 - h. Let t(p) = -p - 3. What is v*u(y) - 9*t(y)? -y + 5 Let j(l) = -l**3 + 2*l. Let b(s) be the third derivative of -s**6/40 + 3*s**4/8 - 8200*s**2. Suppose -3*n - 2*n + 13 = 3*v, -n + v = -1. Give n*b(u) - 9*j(u). 3*u**3 Let q(b) = -2*b. Suppose 175*v - 181*v + 60 = 0. Suppose 0 = -14*l - v + 66. Let y(h) = 3*h. What is l*y(s) + 7*q(s)? -2*s Let b(q) = -11*q**2 - 13*q - 2. Let v(d) = 5*d**2 + 6*d + 1. Suppose 0 = 16*c - 15*c - 16. Suppose 0*m - c = -4*m. What is m*b(t) + 9*v(t)? t**2 + 2*t + 1 Let d(l) = 6 - 2*l + 589717*l**2 - 589719*l**2 + l. Let v(x) = x**2 + x - 3. What is -2*d(b) - 5*v(b)? -b**2 - 3*b + 3 Let h(s) = 2*s**2 - 3*s - 8. Let a(t) be the second derivative of t**4/12 - 2*t**3/3 - 9*t**2/2 - 806*t. Calculate -5*a(u) + 6*h(u). 7*u**2 + 2*u - 3 Let l(r) = -11*r**2 - 21. Let d(o) = -15 + 1378*o**2 - 2762*o**2 + 1376*o**2. Let n(h) = -7*d(h) + 5*l(h). Let x(i) = -9*i**3 - 3*i**2. Determine 3*n(s) + x(s). -9*s**3 Let y(b) = 102*b**2 + 17*b. Suppose -c = -k + 20, 0 = 4*k - 273*c + 268*c - 83. Let r(g) = 34*g**2 + 6*g. Give k*r(i) - 6*y(i). -34*i**2 Let b(j) = 97*j + 2693. Let m(o) = 243*o + 5387. What is -5*b(q) + 2*m(q)? q - 2691 Let t(f) = -48*f + 19. Let a(j) = -51*j + 17. What is 3*a(v) - 4*t(v)? 39*v - 25 Suppose t - 2*a + 5 = -0*t, -a + 5 = -3*t. Let q(u) = 23 - 55 + u - 5*u + 32 - 11*u**3. Let y(m) = -m**3 - m. Determine t*q(c) + 4*y(c). 7*c**3 Let x(z) = 9055*z**2 + 9*z - 54. Let c(l) = 2264*l**2 + 2*l - 12. Give -9*c(y) + 2*x(y). -2266*y**2 Let d(w) = 13*w**3 - 6*w**2 - 6*w - 3. Let v(r) = -4*r + 1. Let a(l) = -d(l) + 3*v(l). Let c(t) = 259*t**3 - 119*t**2 + 119*t - 119. Give -119*a(p) - 6*c(p). -7*p**3 Let o(b) = 7840261*b**3 - 13189*b**2 + 13189. Let u(l) = 1189*l**3 - 2*l**2 + 2. Determine -6*o(q) + 39567*u(q). 3597*q**3 Suppose 2*r - 10 = 3*r - l, -5*l = 3*r - 2. Suppose -48*f + 47*f = -b - 1, -5*f + 5 = -2*b. Let w(q) = 7*q - 3. Let u(y) = y. Calculate f*w(i) + r*u(i). i - 3 Let y(a) = -15*a - 4. Let v(r) = 766*r + 823*r - 2406*r + 818*r + 1. Determine -6*v(k) - y(k). 9*k - 2 Let l(m) be the second derivative of -2*m**5/5 - 7*m**4/12 + m**3 - 3*m**2 + 19*m - 4. Let x(v) = -9*v**3 - 8*v**2 + 7*v - 7. Calculate 7*l(z) - 6*x(z). -2*z**3 - z**2 Let i(k) = -36*k**3 - 10*k**2 - 43*k - 22. Let o(w) = -7*w**3 - 2*w**2 - 8*w - 4. Determine 4*i(b) - 22*o(b). 10*b**3 + 4*b**2 + 4*b Let k(o) = 41*o**2 - 4*o + 4. Let w(g) = 108*g**2 - 337 - 333 - 334 + 1013 - 9*g - 25*g**2. Give 9*k(b) - 4*w(b). 37*b**2 Let g(i) = -163*i**3 + 8*i**2 - 64*i + 8. Let z(y) = 1140*y**3 - 55*y**2 + 440*y - 55. What is 55*g(s) + 8*z(s)? 155*s**3 Let r(l) = -8*l**2 - 307*l + 32. Let f(h) = 5*h**2 + 208*h - 21. Determine 14*f(a) + 9*r(a). -2*a**2 + 149*a - 6 Let j(g) = g - 4. Let m(h) = 0*h - 3 - 2*h + 4*h. Let i = -297547 - -297544. Give i*j(b) + 4*m(b). 5*b Let g(h) = -h + 752*h**2 - 10*h + 6*h - h**3 + 9*h - 756*h**2. Let c(m) = -3*m**2 + 3*m. Determine 4*c(r) - 3*g(r). 3*r**3 Let d(t) = 7*t**2 - 13*t + 226. Let h(s) = -3*s**2 + 6*s - 113. Calculate 2*d(u) + 5*h(u). -u**2 + 4*u - 113 Let a(n) = 2*n. Let x(l) be the third derivative of -3*l**5/40 - 281*l**3/6 - 6*l**2 + 9. Let h(m) be the first derivative of x(m). What is 24*a(k) + 5*h(k)? 3*k Let k(c) = -20*c**3 - 7*c**2 + 22*c + 9. Let j(y) = -9*y**3 - 3*y**2 + 10*y + 5. Give -9*j(w) + 4*k(w). w**3 - w**2 - 2*w - 9 Let l(m) = 51*m**3 - 5*m + 7. Let r(c) be the first derivative of 51*c**4/4 - 2*c**2 + 6*c - 6505. Give 6*l(v) - 7*r(v). -51*v**3 - 2*v Let b(j) = 28*j**3 + 3*j**2 - 3*j + 3. Let d(s) = -56*s**3 - 5*s**2 + 5*s - 5. Let n be -9 - (0 + (-16 - -2)). Give n*b(g) + 3*d(g). -28*g**3 Let c(r) = 2*r**3 - 334 + 168 + 2*r**3 - 5*r + 168. Suppose -3*m = 2*m - 30. Let w = -4 + m. Let k(b) = -5*b**3 + 6*b - 3. Calculate w*k(o) + 3*c(o). 2*o**3 - 3*o Let w(p) = 22*p**2 + 2*p. Let f(t) = -155*t**2 - 15*t. Let a be 37 + -1 + -11 + 17 + (0 - 12). What is a*w(i) + 4*f(i)? 40*i**2 Let d(l) = 11*l**2 + 8*l + 8. Let h(u) = 7*u**2 + 5*u + 5. Let m(c) = -26*c + 226. Let p be m(9). Let r = 71 + -66. Calculate p*h(g) + r*d(g). -g**2 Let x(o) = -3*o**2 - 4*o. Let h(j) = -2*j**2 - 3*j. Let p = -25162 - -25168. Calculate p*h(i) - 5*x(i). 3*i**2 + 2*i Let s(v) = -53*v**2 - 506 + 1038 - 528. Let z(j) = 52*j**2 - 3. What is -3*s(i) - 4*z(i)? -49*i**2 Let g(t) = -86. Let q(c) = -1489*c - 262. Determine -3*g(w) + q(w). -1489*w - 4 Let p(j) = -6*j**2 + 16*j + 864. Let v(o) = 2*o**2 - 6*o - 288. Calculate -3*p(h) - 8*v(h). 2*h**2 - 288 Let p(z) = -z**2 + z**2 + 6*z**2 + 4 + 5*z. Suppose 22*u + 7 = 18*u - 1. Let j(h) = h + h - 2 - 3*h**2 - 4*h. What is u*p(o) - 5*j(o)? 3*o**2 + 2 Let l = 20286 - 20282. Let t(h) = 2*h**3 - 7*h**2 + 14*h - 13. Let x(d) = -d**3 + 4*d**2 - 7*d + 7. Give l*t(j) + 7*x(j). j**3 + 7*j - 3 Let z(k) = -15*k**3 + 9*k - 9. Let t(b) = b**2 - 4*b - 2*b + 250 - 243. Let u be t(2). Let q(i) = -i**3 + i - 1. Give u*z(x) + 9*q(x). 6*x**3 Let y be -1*1890/175 - (-1)/(-5). Let z(d) = 9*d + 2. Let k(a) = -27*a - 5. What is y*z(c) - 4*k(c)? 9*c - 2 Let r(b) = 3*b**3 + b**2 - b**2 + 4*b - 4*b**2 + 4. Let m = 8153 - 8157. Let a(q) = 2*q**3 - 3*q**2 + 5*q + 3. Determine m*a(c) + 3*r(c). c**3 - 8*c Let d(j) = -11*j**2 + 2*j - 267. Let x(t) = 20*t**2 - 4*t + 532. Determine -7*d(o) - 4*x(o). -3*o**2 + 2*o - 259 Let u(i) = -8*i**3 - 3*i**2 + 3*i - 4. Let x(o) = -8*o**3 - 2*o**2 + 2*o - 3. Suppose 3 = -3*a + 4*g, 5*a + 2*g = -g + 24. Calculate a*u(l) - 4*x(l). 8*l**3 - l**2 + l Let b(x) = -336*x**2 + 2*x - 5. Let r(q) = 1679*q**2 - 9*q + 24. Dete
{ "pile_set_name": "DM Mathematics" }
)))/((-1)/(-9)) -15 (-9)/(-27)*-7*(-1)/((-3745)/(-30)) 2/107 (1*(-7)/(-70))/(1947/1770) 1/11 What is ((-112)/((-280)/20))/(-4)*4/(-1008)? 1/126 Calculate (-6)/10*(-9180)/(-1458)*-9. 34 What is the value of (21/4)/(((-216)/504)/(40/7))? -70 Evaluate ((-11)/(330/(-460)))/(2/(-3)). -23 Evaluate (-39)/(-117)*-36*1/3*(-1)/(-9). -4/9 1/(34/(1360/24))*108/15 12 Evaluate 980/(-8610)*27/(-63). 2/41 (104/16)/((98/14)/7)*(-60)/(-65) 6 ((88/55)/(-4))/(-27*(-2)/(-105)) 7/9 What is the value of ((-15)/(-17))/(((-12)/11)/((-608)/3344))? 5/34 What is (-721)/68495*6*(-5)/(-45)? -2/285 Calculate (-42)/18*(-7)/(686/1428)*(-9)/18. -17 What is the value of (3/2)/((-9225)/62730)? -51/5 Calculate (5/(-50)*-15)/(2/(-24)). -18 ((42/10)/(-1))/((-349)/(221615/(-254))) -21/2 What is the value of (-9*46/(-1035))/((-7)/((-15960)/(-16)))? -57 Evaluate (-283152)/69400*(-150)/(-12). -51 What is the value of ((-228)/(-112))/((711/(-474))/(7/(-2)))? 19/4 Calculate 1949/(-3898)*-1*7*2. 7 ((-22)/3)/(-1*((-37)/(-370))/(15/(-25))) -44 What is 140390/1515*((-36)/(-8))/(1*24/(-8))? -139 What is the value of (-195)/(-3978)*24/1020*17? 1/51 Calculate (((-2)/12)/((-63)/(-1323)))/(((-52)/(-13))/8). -7 What is (-3640)/(-5824)*24/55? 3/11 Calculate ((6/(-169))/(693/(-9009)))/((-6)/(-20)). 20/13 What is (27115/522)/(-85)*((-12)/10)/((-26)/(-65))? 11/6 11/((-176)/24)*(-77)/(-1617) -1/14 What is the value of ((-40)/(-45)*-6)/((-632)/1422)? 12 Calculate ((7347/(-1))/(-93))/1. 79 Evaluate 11/(-836)*-95*((-52)/120)/13. -1/24 Evaluate (498/(-6640))/((-18)/(-48)). -1/5 What is 1/(((-7)/29)/(2310/660))? -29/2 Evaluate (5/4)/(17030/(-6157)*-47). 1/104 What is the value of -10*2/20*-5*437/(-95)? -23 Evaluate 36687/(-36687)*((-40)/(-12))/(2/75). -125 What is the value of ((-25)/3115)/(370/518)? -1/89 What is the value of 74/((-174344)/558)*(-5)/(-45)? -1/38 Calculate (-16)/(-2)*9324/(-7992)*(-1)/((-98)/108). -72/7 225664/26240*5/1 43 Calculate 715/(-26)*193/(-10615). 1/2 Calculate ((-4)/(-136))/((-1613)/(-35486)). 11/17 Evaluate 30/(-10)*5*108*(-44)/(-660). -108 Calculate (-1)/(-1)*-85*(-23)/7475*13. 17/5 What is the value of ((-45)/40)/(3700/29600)? -9 What is 121/(-59290)*35*8/(-6)*(-33)/22? -1/7 ((428736/(-99))/203)/(3/(-9)) 64 What is 7*6*-3*-16*(-23)/2208? -21 Evaluate -30*(-35)/(14875/(-340)). -24 (89/2403)/(2/2)*(-63)/(-6)*2 7/9 Calculate (56/42*-3)/(31122/247). -2/63 (-3177)/(-1059)*68/(-3)*(-2)/(-8) -17 What is the value of (-328)/6*(-12246)/(-8164)? -82 What is the value of ((-4)/550)/((-1598)/(-7990))? -2/55 Calculate ((52/520)/((-4)/(-250)))/((-3)/12). -25 Calculate (-58)/464*2*(-20)/(-15)*-5*27. 45 16*((-7)/(-665)*(-2)/2)/((-48)/(-180)) -12/19 What is the value of 1/(((-3)/(-8))/(15/(-100))*1/60)? -24 Evaluate ((-53550)/3927)/(30/(-110)). 50 (-83)/(-830)*8/2*110/(-4) -11 (((-6)/5)/(2/(-5)))/(7*(-15)/(-490)) 14 What is the value of (-276)/(-2300)*(1/3)/(6/(-675)*-5)? 9/10 Calculate 6*(-10)/40*221/(-52)*96/60. 51/5 What is ((-14752)/(-30426))/((-12)/22)? -8/9 What is the value of (2/18)/(85/(-3315))*-1*3? 13 Calculate ((178066/2528)/(-161))/(7/(-4)). 1/4 Evaluate (42/(-8))/(20/30*288/2560). -70 Calculate (-1409)/2818*(-132)/(-27). -22/9 What is the value of -24*148/51948*(-3)/(-4)? -2/39 Evaluate 97*(-19)/5529*(-8)/(-14). -4/21 What is ((20/4)/1)/(125*10/350)? 7/5 Calculate (7/148)/(218/27904*112). 2/37 (-74)/(87172/(-57))*8/(-6) -2/31 (34/(-5))/(-17)*(-310)/(-31) 4 (-4)/(-76)*(-171)/(-42)*21/(-24) -3/16 What is (-12)/14*(-1248)/(-192)*560/(-156)? 20 Evaluate (80/52)/((-12)/(-936)*-12). -10 Calculate (67/67)/((8/2)/(-48))*(-1326)/(-156). -102 Calculate ((-46)/(-25))/((-1744)/(-43600)). 46 Evaluate ((13376/(-24054))/44*9/(-42))/((-14)/(-49)). 2/211 What is the value of 66*1180/(-35400)*-25*2? 110 What is (1*10*1)/((-278)/(-129965)*85)? 55 Calculate (185/185925*67*(-20)/(-2))/((-2)/384). -128 What is the value of (-8)/(-110)*179/(-716)? -1/55 Calculate (120/235200*-56)/(3/5). -1/21 What is the value of ((-4)/2)/((((-159)/371)/(18/(-7)))/1)? -12 (1/(-4*5/85))/((-16)/(-256)) -68 What is the value of -18*(-25)/1800*12/45*48? 16/5 Calculate (((-28)/(-11))/(-14))/((11/(396/96))/36). -27/11 What is (-2)/((13*(-30)/3900*10)/(1/(-2)))? -1 (40/(-50))/((-936)/(-390))*114/2 -19 Evaluate (7830/(-5481))/((-1185)/21). 2/79 What is 6120/850*(-195)/52? -27 What is the value of 18186/5196*6/((-2)/(-1))? 21/2 180/50*6*7/(-1260) -3/25 Calculate (2/(-8))/((-164)/64*(-69)/(2760/(-160))). 1/41 What is the value of 4*(-70)/(-16)*1210/847? 25 What is ((-1095)/(-657))/((2/(-54))/((-112)/240))? 21 Evaluate -6*(-8)/(-6)*6615/3240*30/(-5). 98 What is the value of 150*(-74)/(-1665)*4/((-24)/3)? -10/3 Calculate (-8946)/(-2130)*(-1265)/(-69). 77 Calculate (33/(1650/35))/(24/(-10)*42/168). -7/6 What is the value of (-13)/14924*-41*14*9/(63/(-2))? -1/7 What is 6/56*(-2752)/(-1032)*(7/9)/(-1)? -2/9 ((-242)/1210)/(297/45) -1/33 (15/(2700/16))/((-144)/(-140)*56/(-16)) -2/81 Calculate (-24)/((-1)/5*16*21/(-112)). -40 (-4)/6*117945/812510 -3/31 Calculate ((-6322)/29)/(3/2*(-1052)/789). 109 Calculate ((-89)/2670)/((-31)/2170*-7). -1/3 Evaluate (4/(-90))/(((-5320)/875)/152). 10/9 What is ((-1)/(-1)*(-3)/(-9))/((151620/(-945))/(-361))? 3/4 Calculate (50/8)/(1179/3930*15/(-18)). -25 What is (258/(-1376))/((-234)/(-9048))? -29/4 What is the value of 1/21*28/(-8)*1? -1/6 What is the value of (-27)/72*-7*12*(-18)/(-27)? 21 Evaluate (4/24)/(12/(-48))*855/19. -30 What is (1*7)/(244755/(-2331))? -1/15 What is 1/(9/(-6)*240/35280)? -98 Evaluate ((-10)/620)/((-2)/12*(-459)/306). -2/31 Evaluate 1/((-38)/(-28215)*77*5)*6*-1. -81/7 -1*3367/(-37)*(-110)/231*3 -130 (-30)/5*((-9)/(-36))/((-9)/(-318)*-1) 53 178090/(-12952)*24/(-22) 15 What is the value of (-68)/(-30)*(-1530)/(-102)? 34 What is the value of (-672)/784*(-140)/30*-3? -12 Calculate 81/3*(-26)/(-39)*7*(-1)/2. -63 What is the value of (8*(-76)/(-16))/(938/(-469))? -19 Calculate (-7)/10*((-200)/1225*42/12)/(-1). -2/5 What is the value of ((-54)/(-252))/(16/(-280))? -15/4 Calculate 55/((-65835)/1368)*(-14)/15. 16/15 Evaluate 1/((-9)/6)*(-362502)/28770. 42/5 ((-10428)/176*16/(-42))/(26/91) 79 What is 9/35*468/(-14742)*-5? 2/49 (810/3195)/3*7/21 2/71 Evaluate (76/(-49)*(-91)/26)/((49/7)/(-49)). -38 Evaluate ((-15)/10)/((-10)/56*119/((-120785)/174)). -49 Calculate (-1065)/(-426)*91/(-3965)*(-24)/(-14). -6/61 Calculate ((-5)/12*(-33)/(-440))/((-11)/((-198)/9)). -1/16 What is the value of (2/7)/((-6)/(-14)*1)*(-75636)/2101? -24 Evaluate (((171/19)/(-9))/((-369)/(-18)))/(4/(-2)). 1/41 Evaluate (-21)/(-12)*(636272/(-7889))/247. -4/7 90090/12705*22/4 39 ((-1330)/(-133)*(-3)/(-36))/((-435)/(-27)) 3/58 Evaluate (2/(-7))/((806/(-5642))/(9/(-1))). -18 What is the value of ((-107)/3)/((-980)/280*2/(-21)*1)? -107 Evaluate ((-126)/35)/(-25*60/1000). 12/5 (-112635)/(-3504200)*(-5)/3 -3/56 What is (-546)/(-156)*(-1680)/245? -24 What is (8/4*1)/(14/(-805)*10)*-2? 23 ((-96)/336)/(4*(-1)/112) 8 What is the value of 45*(-82)/9225*5*-47? 94 Evaluate 30/((-675)/(-10890)*11). 44 Calculate 15/(30/4)*40/(-24). -10/3 Evaluate (((-2940)/(-80))/49)/((-66)/24). -3/11 Calculate (14/6)/((-2)/(-12)*(-5196)/(-2598)). 7 (168/10)/((-20373)/135820) -112 (-16)/(-18)*180*17/1020 8/3 What is (204/(-14076))/(18/(-414))? 1/3 What is the value of (104680/(-44489))/(4/(-34))? 20 What is the value of (-1)/(17/40222*91)? -26 What is the value of (-29)/203*-7*2394/(-38)? -63 Calculate ((-6)/(-49))/((-17)/(2856/36)*(-42)/105). 10/7 ((-9)/(-10))/(23856/(-63616)) -12/5 Evaluate 6*((18645/198)/113)/(20/(-6)). -3/2 (((928/80)/(-29))/(20/(-300)))/(11/(-3)) -18/11 (-170)/(-1224)*3/(((-2025)/(-10))/(-9)) -1/54 Evaluate (-19)/2*444/111. -38 What is (-5)/2*30132/4185? -18 What is ((-6)/5)/(((-36)/585)/((-736)/(-4784)))? 3 Evaluate (-3724)/1140*50/(-70). 7/3 Evaluate ((-2)/(-6)*28)/(-32*(-705)/3760). 14/9 What is (27/15*2)/(-120*44/88000)? -60 Evaluate (22/9)/(1/(-6))*(-183)/(-61). -44 (-13)/(364/399)*(-84)/63 19 (-24)/(-2)*160/14*(-17052)/(-36540) 64 What is (1*(-4)/20)/((-688)/(-9632))? -14/5 ((-21)/9)/((-714)/(-612)) -2 What is 6/42*-1*19*(-112)/(-8816)? -1/29 (((-4)/(-4*130))/(384/1920))/((-2)/88) -22/13 What is 37/(-296)*8*(-85)/(-1)*-1? 85 What is the value of (-864)/(-72)*-11*13/(-21450)? 2/25 Evaluate 38/(246848/84)*24/(-36). -1/116
{ "pile_set_name": "DM Mathematics" }
r) be the first derivative of r**3/3 + 5*r - 5. List the prime factors of l(c). 5 Let n = 43 - 91. List the prime factors of (n/20 + 2)*-95. 2, 19 Let c(q) = q**3 + 11*q**2 - 11*q. List the prime factors of c(-9). 3, 29 Suppose 2*y = -3*y. Suppose y = 2*r - 17 + 3. Suppose 2*l - r = 7. What are the prime factors of l? 7 Let r be (3 - 2)/((-1)/19). Let o = 28 + r. What are the prime factors of o? 3 Let t(v) = v**3 + 5*v**2 - v - 1. Let h be t(-5). Suppose h*g + 28 - 84 = 0. List the prime factors of 60/14 - 4/g. 2 Let p be (-1)/((-1)/2) + -2. Let c be 33/15 + (-1)/5. Suppose 0 = -p*m - c*m + 14. What are the prime factors of m? 7 Suppose 604 = 3*c + c. List the prime factors of c. 151 List the prime factors of 2/(-4)*-1 + 4746/12. 2, 3, 11 Let k(f) = f**2 - f**3 + 4 - 4. Let w(c) = 4*c**3 + 2*c**2 - c. Let m(d) = 3*k(d) - w(d). List the prime factors of m(-1). 7 Let x(b) = b**2 - 3*b + 3. Let r = 3 - 3. Let g = 3 - r. What are the prime factors of x(g)? 3 Let f be ((-10)/(-4))/(2/4). What are the prime factors of 9 + f/((-10)/(-6))? 2, 3 Let t be (-5 - -2 - 1) + 25. Let p = t - 10. What are the prime factors of p? 11 Let x be (-64)/10 - (-8)/20. Let j = x - -13. Let r = j + -2. List the prime factors of r. 5 Let m(h) = -11*h - 7. What are the prime factors of m(-4)? 37 Let f = 23 + -14. Suppose 4*u - 7 - f = -4*n, 2*u + 4*n = 8. Suppose 3*v = -2*s - 0*s + 16, -5*v = u*s - 28. List the prime factors of s. 2 Suppose 0 = -2*r + 3*r - 34. List the prime factors of r. 2, 17 Let d(c) = c**3 + 9*c**2 + 9*c + 2. Let k be d(-8). Let x = k - -5. List the prime factors of 9 - x - (-2)/2. 11 Let x(k) = -k**3 + 0*k**3 - 3*k + 1 - 3*k**2 + 0*k**3. What are the prime factors of x(-4)? 29 Let k be 1 + (-1)/(-2)*-2. Let b = -67 + 97. Suppose k = t + t - b. List the prime factors of t. 3, 5 List the prime factors of (-2 - 0 - -1)*0 - -107. 107 Suppose -r + 3 + 2 = 0. Let m(l) be the third derivative of l**4/12 - l**2. List the prime factors of m(r). 2, 5 What are the prime factors of (6/10)/((-6)/(-30))? 3 Let l(a) = -3*a + 7. List the prime factors of l(-7). 2, 7 Let b(l) = l**2 + l - 3. Suppose -4*k - 3*c + 8 = 0, 0*c - 4*c - 16 = 0. What are the prime factors of b(k)? 3 Let w = 54 - 30. What are the prime factors of w? 2, 3 Let p(m) = 37*m - 3. Let n be 20/8 - (-3)/(-2). List the prime factors of p(n). 2, 17 Let o(d) = d**3 + d**2 - 16*d + 7. Let g be o(6). Suppose -4*i = -x - g, -3*x = -i + 26 + 23. List the prime factors of i. 2, 5 Suppose -4*m - 3*k = -5, 4*m = -5*k - 0*k + 3. What are the prime factors of m? 2 Suppose -5 - 1 = 2*c, 0 = s + 5*c + 7. Let i be 8/(-32) + 2/s. Suppose -2*u = -i*u - 32. What are the prime factors of u? 2 Let k = 47 - 18. What are the prime factors of k? 29 Let j = 2 + -3. Let v(l) = -7*l + 1. List the prime factors of v(j). 2 Let z = 54 - 33. What are the prime factors of z? 3, 7 List the prime factors of (-880)/(-14) - 2/(-14). 3, 7 Let g be (4 + 6)/(2/(-4)). Let k = 32 + g. What are the prime factors of (k/8)/(2/4)? 3 Let k = -1 - -7. Suppose -3*f - 180 = -k*f. Suppose 0 = 4*g + p - f, -10 = -2*g + 5*p + 42. What are the prime factors of g? 2 Suppose -2*j = -4*j + 2*b + 10, 8 = j - 2*b. Suppose 14 = -j*a + 54. What are the prime factors of a? 2, 5 Let u be -18*(1 - (-3)/(-2)). Let r = 15 + u. What are the prime factors of (6/(-4))/(r/(-112))? 7 Suppose 11 + 31 = 2*x. Suppose 0 = 4*o - 2*l - 6, 6*l = -2*o + l + x. Suppose -6 = -o*s + 33. What are the prime factors of s? 13 Suppose -i + 274 = i. Let p = i + -92. List the prime factors of p. 3, 5 Let k(b) = -b**3 - 8*b**2 - 11*b - 9. Let q = -15 + 8. List the prime factors of k(q). 19 Suppose 18 = -4*r - 54. Let l = 28 + r. What are the prime factors of l? 2, 5 Let l = 16 + -18. List the prime factors of -1 - -28*l/(-2). 3 Let f = -1 + -1. Let s(g) = -g. Let v be s(f). Suppose -3*u + 7 = -v*u. What are the prime factors of u? 7 Let n(i) = 2*i**2 - 3*i - 5. Let g be n(-5). Suppose 0 = -3*m + g. What are the prime factors of m? 2, 5 Suppose -4*l + 44 = 2*q, -q + 4*l + 14 = -14. Let b be (-26)/2 - -2 - 1. Let x = b + q. List the prime factors of x. 2, 3 Suppose -4*y - 7622 = 634. Let u be (-6)/10 - y/40. Suppose -u = -4*q + 21. List the prime factors of q. 2, 3 Let c(n) = -n**2 - 5*n + 2. Let g be c(-5). Suppose -3*f - 2*f - 6 = g*y, -5*f + 15 = -5*y. Let a(d) = d + 4. What are the prime factors of a(f)? 2 Let a be (1 - 1 - -1)*2. Let i be a/7 + (-26)/(-7). Suppose 0 = -2*s - 2*k + 8, -k + 7 = 6*s - i*s. List the prime factors of s. 3 List the prime factors of ((-24)/132 - (-101)/11)*12. 2, 3 Suppose d - 1 = -5. Let v = d - -9. What are the prime factors of v? 5 Let w be (3/(6/(-4)))/2. Let q be (0 - w)*(1 + 3). Suppose 0 = q*b - 23 - 5. What are the prime factors of b? 7 Suppose x = -0*x + 4. Let p be (-74)/(-8) - x/16. Suppose -4*i + 3 + p = 0. What are the prime factors of i? 3 Let h = -10 - -17. What are the prime factors of (-356)/(-28) + 2/h? 13 Let d(m) = -m**3 - 5*m**2 - m - 2. Let a be d(-6). Suppose 3*k - a = -k. What are the prime factors of k? 2, 5 Let z be 3/(-3) - -4 - -2. Suppose -10 = -z*j - 2*p, -p = 3*j + 3*p - 20. Suppose j = 2*l + 19 - 57. What are the prime factors of l? 19 Let l = 5 + -23. Let v = -12 + 4. What are the prime factors of l/4*v/3? 2, 3 Suppose -775 + 3071 = 14*r. What are the prime factors of r? 2, 41 Let d = -3 + 7. Suppose 0 = i - d*i - n + 12, 2*i - 8 = 3*n. What are the prime factors of i? 2 Let m(f) = -f**3 - 5*f**2 + 6*f + 4. Let j be m(-6). Suppose q - 15 = 43. Suppose -j*z - 10 = -q. List the prime factors of z. 2, 3 Let p(h) be the second derivative of h**4/6 - h**3/2 - 5*h**2/2 + h. Let v be p(5). Suppose -w + 4*w = v. List the prime factors of w. 2, 5 What are the prime factors of 4*(4/12 + (-206)/(-12))? 2, 5, 7 Let a = -82 + 169. What are the prime factors of a? 3, 29 What are the prime factors of 139/(3 + -2)*1? 139 Suppose 0 = -4*j - 8 - 0, -5*s - j = 82. Let a = s - -34. What are the prime factors of a? 2, 3 Let y = -16 - -8. Let a(v) = -3*v - 5. Let l be a(y). Suppose 0 = r - l - 0. List the prime factors of r. 19 Let f(o) = 2*o + 92. What are the prime factors of f(0)? 2, 23 Suppose -5*l + 5*g + 290 = 0, 5*g = 3*l - 8*l + 240. What are the prime factors of l? 53 Let f(p) = -p + 9. Suppose 0*k - 2*k = 2*h - 4, 0 = 5*k - 2*h - 38. Let u be f(k). Suppose -c - 4*i = u, 5*c + 3*i - 52 = -16. What are the prime factors of c? 3 Suppose 0 = -0*r - r + 55. Suppose 2 = -3*x + x, 4*p + 5*x = r. List the prime factors of p. 3, 5 Suppose -z + h = -5, z = 2*z + 4*h + 5. Suppose -4*v - l = -13, 4 + 8 = 3*v + 3*l. Suppose 0*i - c - v = i, -z*c - 5 = 5*i. What are the prime factors of i? 2 List the prime factors of (570/4 - -2) + 10/20. 5, 29 Let o(y) = y - 2. Let u be o(-2). Let c be 4*((-11)/u - 2). Suppose 2*i + 0*j - 4 = -c*j, 4*i = -2*j + 16. List the prime factors of i. 5 Let r be -2 - (2/(-1) - -4). List the prime factors of (-13)/r - (-12)/16. 2 Let p(d) = -d**3 + 8*d**2 - 7*d. Let g be p(7). Suppose -4*u + 14 - 6 = g. Suppose -3*x + x + 14 = u*k, 4*k + x - 40 = 0. What are the prime factors of k? 11 Suppose -3*s - 16 = s. List the prime factors of s - -5 - (-12)/1. 13 Let o = 1 + -5. Let x be ((-20)/3)/(o/6). List the prime factors of x + 1 - (-1 - -1). 11 Let k(r) = r + 15. List the prime factors of k(0). 3, 5 Suppose -c + 2 = -3. Let w be c - 1 - 7/(-7). Suppose -10 = -w*d + 20. What are the prime factors of d? 2, 3 Let p(j) = -12*j. List the prime factors of p(-3). 2, 3 Let t(y) = 4*y**2 + 2*y + 1. Let v = 0 - 2. List the prime factors of t(v). 13 Let g(i) = -25*i - 54. What are the prime factors of g(-13)? 271 Suppose 28 = a + 4*t, -a - 3*t = -4*t - 8. Let q be 1/((a/15)/4). Suppose -w + 7 = -f, 5*f = 3*w - q*w. List the prime factors of w. 5 Suppose -7*t + 28 = -3*t. What are the prime factors of t? 7 Let v be 2001/21 + 6/(-21). Suppose -2*m - 2*a + 3*a + 45 = 0, 4*a = -3*m + v. List the prime factors of m. 5 Let h be (-2)/((-2)/3 - 0). Let j = 8 + h. What are the prime factors of j? 11 Let g = 69 + 7. List the prime factors of g. 2, 19 Suppose 3*y - 635 = -5*p, 6*p - 5*y = 4*p + 223. List the prime factors of p. 2, 31 Suppose -162 = -b - b. List the prime factors of b. 3 Let l = 8 + -8. Suppose l = 2*x + 3*c - 14, x - 4*c = -
{ "pile_set_name": "DM Mathematics" }
- 4*s + 14. Let t be f(3). Solve 0 = -t*c - 0*c - 6 for c. -3 Let c(u) = -u**2 + 8*u - 9. Let i be c(4). Solve i = -3*m - 2 for m. -3 Let b be 174*6/18*(-1)/(-2). Solve 28*r - b*r - 3 = 0 for r. -3 Let s be (0 + 3)/(99/528). Solve -3*d = 1 - s for d. 5 Let v(j) = j**3 + 6*j**2 - j - 33. Let c be v(-4). Let l(f) = f**3 + 2*f**2 + 5*f + 0 - 2*f**3 - 2. Let d be l(c). Solve d*s = 2*s - 6 for s. -3 Suppose -74 + 101 = 27*p. Solve 4*q + 7 = -p for q. -2 Let p be ((-11)/3 + 2)*-3. Let l(b) = 6*b**2 + 5*b + 4. Let w be l(-1). Suppose -x = -w*i + x + 23, -5*x + 20 = 3*i. Solve i*n + p - 10 = 0 for n. 1 Let i be ((-2156)/(-33))/28 + 2/(-6). Solve -i*s = 11*s - 39 for s. 3 Let v = 176 - 168. Solve 0 = 5*n - v - 2 for n. 2 Let n(w) = 6*w + 13. Let a be n(-1). Suppose 4*o = a + 9. Solve -4 = 2*v + o for v. -4 Let c(x) = x**2 - x - 1. Let u(z) = -4*z**3 - 1. Let p be u(-1). Let o be c(p). Solve q = 2*q + o for q. -5 Suppose -3*u - 5 = -4*u, 2*s = -4*u + 22. Let k be (1 + (-4)/(-4))/s. Solve r - 1 = -k for r. -1 Let z be (-14)/(-3)*(-3)/(-2) - 3. Let h = 12 + -4. Let i = 14 - h. Solve i + 10 = -z*u for u. -4 Let i = 1319 - 1311. Solve 21*w = i*w - 65 for w. -5 Let r(n) = -n**2 - 17*n + 4. Let g be r(-16). Suppose -g = -7*t + 3*t. Solve -18 + 3 = -t*s for s. 3 Let b(y) = -7*y + 1. Let c be b(-6). Let v = -31 + 42. Let w be 31/6 - (v/(-6) + 2). Solve -w*l + 18 = c for l. -5 Suppose 2*i = 5*r + 22, -56*i + 4*r = -58*i - 14. Solve i = l - 4 for l. 5 Suppose -3*a - 33 = -3*v, 8 = 3*v + 2*a - 0. Suppose 3*i - v = -0*s + 5*s, 5*i - 10 = -5*s. Solve 0 = i*z - 7*z - 25 for z. -5 Suppose 29*l - 35*l + 42 = 0. Solve 5 = 3*d - l for d. 4 Let b be (13 - 5)/(-4) - (-45)/3. Solve -6*n - b = 11 for n. -4 Let p = -140 - -140. Let t = -19 - -39. Solve p = 8*w - 4*w + t for w. -5 Let i(y) = 4*y - 168. Let v be i(43). Solve -q - 3 = -v*q for q. 1 Suppose -14*h + 162 = -23*h. Let j = -12 - h. Solve j = r + 1 for r. 5 Let f(q) = -q**3 - 22*q**2 + 23*q + 2. Let p be f(-23). Solve -3*k + 4 + p = 0 for k. 2 Let z = -23 - -45. Let a = -12 + z. Suppose 5 = 3*m - 2*m. Solve 0 = m*f - 5 + a for f. -1 Suppose 10*m + m - 44 = 0. Solve -m + 2 = n for n. -2 Let r = 59 + -58. Suppose -r = 13*z - 14*z. Solve 0 = -5*q + z + 24 for q. 5 Suppose 21 + 14 = 5*o + 3*h, -2*o = h - 13. Let x(l) = l**2 - 5*l. Let m be x(5). Suppose 0*z - z + o = m. Solve -3*y - 2 = z for y. -2 Suppose 18*t - 14*t = -2*a + 26, -3*t - 3*a + 18 = 0. Solve 5 = t*s - 2*s for s. 1 Let i = -391 - -401. Solve -i = -7*y + 4 for y. 2 Let a be 38/4 - (-2)/4. Let c = 244 + -230. Suppose -9 = c*l - 9. Solve i - 3*i - a = l for i. -5 Let o be (1/(-2))/(6/(-168)). Let g = o + -6. Let n be 1 + 6/3 + 9. Solve -n = 4*c + g for c. -5 Suppose 2*w = 3*w - 2. Let j(l) = 5 + 0*l**w + 4*l**3 + 2*l**2 - 2*l - 3*l**3 - 4. Let t be j(-2). Solve -5 + 0 = t*p for p. -1 Suppose 0 = 23*x - 33*x + 200. Solve -34*m + 30*m = -x for m. 5 Let i = -15 - -17. Let f(k) = -3*k**2 + 4*k**i - k - 3*k + 5 - 2. Let r be f(4). Solve -r - 1 = -4*a for a. 1 Let r be 5/(-15)*1*-15. Suppose r*s - 2*i - 6 = 2*s, 4*s + 5*i - 31 = 0. Solve a + 25 = -s*a for a. -5 Suppose -3*w - 2*s + 11 = 0, -3*w - 2*w - 5*s = -20. Let u be (w - (-10)/(-2)) + 10 + -3. Solve -u*q = -9 + 4 for q. 1 Let f(n) = n**3 - 5*n**2 + n - 3. Let h be f(5). Let m = 52 - 52. Suppose h*d - d = m. Solve d = -2*p - 8 - 0 for p. -4 Suppose 0 = 3*u + h - 2*h - 6, u = 3*h + 10. Solve u = i + 4 for i. -3 Let m be (1/5)/(35/875). Solve 0 = 3*g + 7 + m for g. -4 Let j = -385 + 409. Solve 0 = 4*y + 4 - j for y. 5 Let p be 1*(-4 + 0 - -21). Let u be p + -3 + 1 + 0. Solve 0 = -6*a + 3*a + u for a. 5 Let c(y) = 4*y**2 - 2*y - 3. Let w be c(-1). Suppose w*f - 18 = f. Solve 4*x + f = x for x. -3 Let k(s) = 4*s + 104. Let d be k(-25). Solve d*q + 2 = 6 for q. 1 Let b be 18/5*1 + 183/(-305). Suppose -o = 5*p + 11, -7 + 4 = 3*o + 5*p. Solve o*x = b*x for x. 0 Let c(h) = 3*h**3 + 20*h**2 - 7*h + 5. Let w be c(-7). Let i be (-14)/(-28) - (-1)/2. Solve w + i = -3*q for q. -2 Let n = 978 - 956. Solve n - 22 = -10*h for h. 0 Let p = 15 + -11. Suppose -4*n - 44 = -4*s, 6*s - p*s - 17 = -3*n. Let a = -10 + s. Solve a = 9*u - 4*u + 25 for u. -5 Let q(r) = -r**3 - r**2 + 4*r - 1. Let m be q(-3). Let p be (2/(-5))/(1/m). Let u be (-6)/(p - 0/(-4)). Solve 4*w - u - 9 = 0 for w. 3 Let w be (2 - 3) + -2 + 6. Suppose -3*c - 6 = i, 24 = w*i - 5*c - 0*c. Suppose 0 = -i*s - s + 4. Solve -p = 3 - s for p. -2 Let m be (-171)/(-15) - 3/(-5). Let d(y) = y - 8. Let k be d(m). Suppose 3*g + 0*g = 3*l + 45, -4*l = 5*g - 48. Solve k = 4*v + g for v. -2 Let h be (8/5)/(2/5). Let v be 0 + (0/h)/4. Suppose v = -0*l + 4*l. Solve c - 2 + l = 0 for c. 2 Let p = 7 + -7. Let x = 3 - p. Suppose -x*o + o = 0. Solve -6*l + 4*l = o for l. 0 Let c(l) = -l**2 + 2*l. Let f be c(4). Let r be f/(-10) - 6/(-30). Solve -2*p + r = -p for p. 1 Let m(r) = -93 + 87 + 3*r**2 - 6*r - 14*r - 4*r**2. Let c be m(-19). Solve -3*z - c = -4 for z. -3 Suppose -21 = 19*f - 21. Solve 10*k + 5*k - 60 = f for k. 4 Let v = -1 - -3. Let k be ((-3)/(-5))/(27/(-15) + v). Solve -2*c - 5 = k*c for c. -1 Let a(h) = -h**3 - 22*h**2 + 46*h - 26. Let c be a(-24). Solve c*y - 8 = 24*y for y. -4 Let c be 46/4*(-1 + 3). Let m = 23 - c. Solve m = -0*y + y + 5 for y. -5 Let n be (176/32)/((-2)/8). Let i = n + 30. Solve -4*h + 0*h - i = 0 for h. -2 Suppose 144 = 24*x - 6*x. Suppose -2*u + w = 0, 2*w - 1 + 9 = 0. Let k = 0 - u. Solve -k = 2*h + x for h. -5 Suppose 0 = n + 3*d + 13, d + 16 - 9 = n. Solve 5*u = -n + 2 for u. 0 Let m = -62 + 77. Suppose h - 2*h = -m. Solve -c = 4*c - h for c. 3 Suppose 0 = 20*a - 15*a - 20. Suppose -a*o + 0*o = 0. Solve o = -2*r + 4*r + 6 for r. -3 Let h = -582 + 582. Solve h = k + 4 for k. -4 Let c be 1/(-2) + 1/2. Suppose -2*w - 5*u = -c*w + 8, w + 7 = -4*u. Solve -3 - w = -q for q. 4 Suppose 0 = -7*g + 2*g - 45. Let i be 3/g + (-14)/(-6). Let x = 38 + -23. Solve -3*z = i*z + x for z. -3 Suppose 0 = 3*y + 2*i + 10 - 25, 4*y - 3 = 3*i. Suppose -4*u - 5*m - 71 = 0, 0 = 3*m + 6 + 3. Let s be (-1)/(1/u*2). Solve s*h - y = 4*h for h. 1 Let i = -1086 - -1088. Solve 4*t - 22 = -i for t. 5 Let v = -2 - -7. Let f be (-2 - (-2 + 3)) + v. Suppose 0 = 4*u - f*u - j - 19, 5*u - 60 = 5*j. Solve u*s = 4*s for s. 0 Suppose -2*k = 2*r - 100, 10*k = 11*k - r - 52. Solve -k = -15*u + 24 for u. 5 Let h = 2564 - 2558. Solve 3*k + 12 - h = 0 for k. -2 Let r be -2*(3 + (-20)/8). Let h be (r - (-9)/5)*5. Suppose 0*y + w - 4 = 5*y, y + w = h. Solve y*b - 4 = -2*b for b. 2 Suppose 12*h = 7*h + 20. Suppose -16 = -h*d, -d + 5*d - 10 = g. Solve 2*a - 4 + g = 0 for a. -1 Let q(r) = -3*r + 69. Let k be q(16). Solve -k = 7*j + 14 for j. -5 Let z be 1*1/(4/(-20)) - -12. Solve -4*l = -15 + z for l. 2 Suppose 0 = 4*v - 9*v + 15. Let s(r) = -r**2 - 7*r - 1. Let t be 3 + -1 - (0 + 8). Let o be s(t). Solve d + v - o = 0 for d. 2 Let w be 7/35 - (-304)/80. Solve -1 = w*v + 19 for v. -5 Let x(k) = k**3 - 5*k**2 + 7. Let f be x(5). Suppose 3*g = 2*y + 56, 52 - 12 = 2*g - 4*y. Solve 0 = 5*s + f + g for s. -5 Suppose 3*a - 20 = a. Let k be (a/25)/(3/30). Suppose 2*z - 2*s - 2*s - 16 = 0, -k*z + 4*s = -24. Solve 3*g - z*g = -5 for g. 5 Let f be 24 + (-2*9)/6 - -4. Solve 5*t + f = 30 for t. 1 Let t = -22 - -25. Suppose -3 - 18 = -t*i. Let j = i - 4. Solve -j*q - 5 = 2*q for q. -1 Let f = -24 + 26. Suppose 4*a - 4*i - 4 = 0, -6*a - 2*i = -f*a + 2. Suppose 2*l - 3*l = q, a = -l - 4*q - 6. Solve l*z - 5*z = 6 for z. -2 Let d(x) = 2*x - 6. Let m be d(4). Suppose 0 = -4*u + 5*a + 10, -m*a + 0 = -3*u + 11. Suppose 18 - 43 = -u*n. Solve 2*h = n*h + 12 for h. -4 Let v(h) = -6*h + 101. Let a be v(15). Solve 39 = -a*j - 5 for j. -4 Let y(l) = -l**2 - 3*l - 1. Let r be y(-3). Let h(i) be the second derivative of -3*i**5/20 - i**4/6 + i**2/2 + 21*i. Let p be h(r). Solve 1 + 7 = -p*m for m. -4 Let j(o) = -2*o**3 + 48*o**2 - o + 37. Let c be j(24). Solve z - 16 = -c for z. 3 Let k(q) = 4*q - 10. Let n = -63 - -66. Let y be k(n). Let c(m) = m**3 - 6*m**2 + 4. Let l be c(6). Solve -y*h = -h - l for h. 4 Let t(p) be the first derivative of p**4/4 - p**3/3 - p**2 + 2*p - 13. Let j be t(1). Solve j = n - 5*n for n. 0 Let j = -407 + 410. Suppose 2*z + 5*x = 25, 0*x = -z + 3*x - 4. Solve -z*w = -j*w - 10 for w. 5 Suppos
{ "pile_set_name": "DM Mathematics" }
, 106, 201? 334 What is the next term in 148, 135, 108, 61, -12, -117, -260? -447 What comes next: -377, -746, -1113, -1478, -1841? -2202 What comes next: 82, 70, 32, -44, -170, -358? -620 What comes next: -45, -95, -185, -321, -509, -755, -1065, -1445? -1901 What is the next term in -16, -27, -50, -91, -156, -251, -382, -555? -776 What is next in -4629, -4627, -4625? -4623 What comes next: -10, -29, -26, 5, 70, 175, 326? 529 What is the next term in -10, -16, -24, -34, -46? -60 What is the next term in -225, -433, -641, -849? -1057 What comes next: 1296, 1294, 1292, 1290, 1288? 1286 What is next in -1376, -1369, -1358, -1343, -1324, -1301? -1274 What is next in -10, -16, -20, -22? -22 What comes next: 171, 118, 29, -96? -257 What is next in -41, -37, -33, -29? -25 What is the next term in 231, 247, 273, 309, 355? 411 What comes next: -131, -71, 29, 169, 349, 569? 829 What comes next: 72, 60, 26, -42, -156? -328 What is next in 198, 187, 164, 123, 58, -37? -168 What comes next: -162, -168, -176, -186, -198, -212, -228? -246 What is next in -348, -695, -1042? -1389 What is next in -2603, -2609, -2615? -2621 What is next in -336, -350, -372, -402, -440, -486, -540? -602 What comes next: -695, -694, -693? -692 What is the next term in 808, 1617, 2434, 3265, 4116, 4993? 5902 What comes next: 27, 37, 45, 51, 55? 57 What is next in 0, 29, 108, 261, 512, 885, 1404? 2093 What comes next: 10, -5, -46, -125, -254, -445, -710? -1061 What is next in 906, 896, 886, 876, 866? 856 What comes next: -380, -375, -370, -365, -360, -355? -350 What is the next term in 211, 269, 329, 391? 455 What is next in 259, 317, 421, 577, 791? 1069 What comes next: 657, 647, 623, 579, 509? 407 What is next in 23, 27, 7, -49, -153? -317 What is next in 110, 229, 360, 509, 682, 885, 1124, 1405? 1734 What is next in 405, 406, 407, 408? 409 What comes next: 116, 209, 304, 401, 500? 601 What comes next: 3, -1, -11, -27, -49? -77 What is the next term in 15, 41, 93, 183, 323, 525? 801 What comes next: -2472, -2477, -2482? -2487 What comes next: 45, 53, 65, 81, 101, 125? 153 What comes next: 11, 10, 9, 8? 7 What comes next: 41, 83, 123, 161, 197? 231 What is next in -122, -190, -250, -296, -322? -322 What comes next: -27, -111, -251, -447, -699? -1007 What is the next term in -374, -390, -424, -482, -570, -694? -860 What is the next term in -2, -12, -22, -32, -42, -52? -62 What comes next: -22, -75, -168, -307, -498, -747? -1060 What is the next term in -4, 13, 36, 65, 100, 141, 188? 241 What comes next: 567, 566, 565, 564? 563 What is the next term in -15769, -15770, -15771? -15772 What comes next: 42, 25, -4, -45? -98 What comes next: 33, 152, 361, 660? 1049 What is next in 10, 24, 52, 100, 174, 280, 424? 612 What comes next: 2, -2, -32, -106, -242, -458, -772, -1202? -1766 What comes next: -95, -96, -97? -98 What comes next: -27, -36, -45? -54 What is the next term in 111, 106, 99, 90, 79, 66, 51? 34 What is the next term in -4, -35, -104, -223, -404? -659 What comes next: 31, 36, 65, 130, 243? 416 What is next in -35, -24, -13, -2? 9 What is the next term in 8815, 17630, 26445? 35260 What is the next term in -145, -286, -417, -532, -625, -690? -721 What comes next: -2, -3, -16, -47, -102? -187 What is the next term in -13, -40, -67, -94, -121? -148 What is the next term in 987, 989, 991, 993, 995, 997? 999 What is next in -28, -49, -70, -91, -112, -133? -154 What is next in -7, -3, 13, 47, 105, 193, 317? 483 What comes next: 17, 40, 59, 74? 85 What is the next term in 19, 9, -7, -29? -57 What is the next term in 0, 31, 84, 159, 256? 375 What is next in 50, 98, 146? 194 What is the next term in 68, 74, 92, 128, 188, 278? 404 What is the next term in 142, 143, 144, 145? 146 What is the next term in 14, 28, 40, 50, 58, 64, 68? 70 What comes next: 71, 80, 89, 98, 107? 116 What comes next: 14, 81, 194, 353, 558, 809? 1106 What comes next: -62, -66, -70? -74 What is the next term in -17, -34, -51, -68, -85? -102 What comes next: -2493, -2481, -2469, -2457? -2445 What is next in 136, 245, 418, 649, 932? 1261 What is next in 277, 290, 303, 316, 329, 342? 355 What comes next: -9, 0, 25, 72, 147, 256, 405, 600? 847 What is next in -710, -1421, -2132, -2843, -3554? -4265 What is next in -25, -54, -109, -196, -321, -490, -709? -984 What comes next: -435, -438, -445, -456? -471 What comes next: -37, -83, -129? -175 What is the next term in 41, 78, 117, 158, 201? 246 What is next in 402, 418, 436, 456? 478 What is next in 3, 4, 5, 6? 7 What comes next: 24, 12, -6, -30, -60, -96? -138 What comes next: 34693, 34692, 34691? 34690 What is next in 1451, 1463, 1475? 1487 What is next in -51, -103, -189, -309? -463 What is next in 1, -2, -13, -38, -83, -154, -257? -398 What is next in -5, -1, 3, 7? 11 What comes next: 24, 18, 8, -6? -24 What is the next term in 9, 9, 23, 57, 117? 209 What comes next: -22, -170, -416, -760, -1202? -1742 What is next in -163, -165, -167, -169, -171, -173? -175 What comes next: 26, 49, 72, 89, 94, 81, 44? -23 What comes next: 204, 825, 1860, 3309, 5172? 7449 What is the next term in -2, -13, -24, -29, -22, 3, 52, 131? 246 What comes next: -27, -28, -13, 24, 89, 188, 327? 512 What is the next term in -37, -43, -35, -7, 47, 133, 257? 425 What is the next term in 14633, 14632, 14631? 14630 What is next in 3817, 3827, 3851, 3895, 3965, 4067, 4207, 4391? 4625 What is next in -55, -286, -681, -1234, -1939, -2790? -3781 What is next in -962, -1926, -2884, -3836, -4782? -5722 What is next in -180, -181, -182, -183, -184, -185? -186 What comes next: 15, 132, 331, 618, 999, 1480, 2067, 2766? 3583 What is the next term in -86, -180, -278, -380, -486, -596, -710? -828 What is next in -583, -580, -575, -568? -559 What comes next: 993, 989, 983, 975, 965, 953, 939? 923 What is next in 458, 478, 498, 518, 538, 558? 578 What is next in 728, 1445, 2162, 2879, 3596, 4313? 5030 What is next in 22876, 45751, 68626, 91501? 114376 What is the next term in -74, -301, -678, -1205, -1882? -2709 What is next in 2096, 2097, 2096, 2093, 2088? 2081 What comes next: 50, 408, 1380, 3272, 6390, 11040? 17528 What comes next: -903, -1796, -2689? -3582 What is next in 161, 155, 145, 131, 113? 91 What is next in 78, 109, 166, 255, 382, 553? 774 What is the next term in 73, 87, 115, 163, 237, 343, 487? 675 What is next in -495, -500, -507, -516? -527 What is the next term in 117164, 117166, 117170, 117176, 117184, 117194? 117206 What is next in 89, 31, -65, -199, -371, -581, -829? -1115 What is the next term in -55, -38, 5, 86, 217, 410, 677, 1030? 1481 What comes next: -4570, -4581, -4604, -4645, -4710, -4805, -4936? -5109 What is the next term in 100, 96, 92, 88? 84 What is the next term in 12, 26, 56, 108, 188, 302, 456? 656 What is the next term in -8, -24, -40? -56 What is next in -54, -68, -84, -102, -122, -144, -168? -194 What is the next term in -6, -63, -214, -507, -990? -1711 What is the next term in 1275, 1277, 1279, 1281? 1283 What is next in 11, 27, 57, 113, 207? 351 What is next in -7, -21, -35, -49? -63 What comes next: 334, 330, 324, 316, 306, 294? 280 What is the next term in 37, 74, 135, 220, 329, 462? 619 What is next in -249, -247, -245? -243 What comes next: 26, 28, 30, 32, 34? 36 What is the next term in -5, 27, 91, 187, 315, 475, 667? 891 What is next in 195, 173, 125, 39, -97? -295 What is next in -189, -66, 57? 180 What is next in 7, 12, 21, 34, 51? 72 What is the next term in 99, 87, 87, 105, 147, 219, 327, 477? 675 What is next in 3263, 3261, 3259, 3257, 3255? 3253 What is next in 8, -8, -22, -34, -44, -52? -58 What comes next: -43, -38, -35, -34, -35, -38? -43 What is next in -68, -73, -82, -95, -112? -133 What is next in 690, 803, 1000, 1287, 1670, 2155, 2748, 3455? 4282 What is the next term in 17023, 34045, 51067, 68089, 85111? 102133 What comes next: -13, -42, -73, -106, -141, -178? -217 What is next in -110, -230, -354, -482, -614? -750 What is the next term in -162, -228, -294, -360, -426? -492 What is the next term in -12, 3, 34, 87, 168, 283? 438 What comes next: -34, -58, -94, -148, -226, -334? -478 What is the next term in 322, 319, 314, 307? 298 What comes next: -19, -43, -65, -85, -103, -119? -133 What is the next term in 1264, 1267, 1272, 1279, 1288? 1299 What
{ "pile_set_name": "DM Mathematics" }
lify (((n**(-20)*n)/n**12)/(n**(-17)/((n*n**(-18))/n*n)))**39 assuming n is positive. n**(-1209) Simplify ((b/b**(3/2))/b*b**4*b/b**2*(b*b**(-1/4))/b)/((b*b/b**(-2/5))/(b**(3/10)/b)*b**(1/10)*b*b/(b*b**(1/3)*b)*b) assuming b is positive. b**(-157/60) Simplify ((q*q**(2/5))**(-35))**(-18)*(q**4*q*q/(q*q**(2/7)*q))**6 assuming q is positive. q**(6330/7) Simplify (l**(-1/4)*l*l/(((l/(l/(l**(-2/13)*l)))/l*l)/l)*(l**5*l)/l*l*l**(-1/10))/((l**0)**(-31))**(-3/22) assuming l is positive. l**(2029/260) Simplify (o/(o**(-2/9)*o)*o**(1/6))/(((o**(-1)*o)/o*o)/o*o*o*o**(2/13)*o)*((o**(-4)/o)/o**(-6))**(-32) assuming o is positive. o**(-7901/234) Simplify ((b**(6/7)/b)**19/(b*b*b*b/(b*b**(-4/5))*b*b*b*b**(-14)*b))**(-37) assuming b is positive. b**(-4514/35) Simplify ((v*v**(-5)*(v**(-17)*v*v*v)/v)/((v/(v/v**7))/(v**(-9)*v)))**(-10/7) assuming v is positive. v**(340/7) Simplify (v**(-1))**(-19/3)/(v**(-2)/(v*v**(3/7)/v))*(v**1/v)**(-3/28)*(v/((v/v**(-2/7))/v)*v)**(-38) assuming v is positive. v**(-1184/21) Simplify y**(-3/22)*y**(9/2)*y*y*y**3*y*y**(-12/11) assuming y is positive. y**(102/11) Simplify (j**(-1))**(5/7)*(j*j**(1/10))/j**(2/9)*(j**(-8)/(j*j/j**(9/5)))**(-13) assuming j is positive. j**(67261/630) Simplify (d**41/((d*d/(d*d/d**(-30)))/d))/(d**(-2/17)/d)**12 assuming d is positive. d**(1452/17) Simplify (((b*b/(b/(b*((b*b**(-23))/b)/b*b)))/b**(-2/9))/((((b*b*b**(-1/5)/b*b*b)/b)/b)/b**(-12)))**(-12/11) assuming b is positive. b**(6044/165) Simplify (((h*h*h/(h*h/(h*h*h*h/h**(-20)))*h*h*h)/h*h*h)/(h*h**(15/11)*h*h)*h**(-3/11)/h**(-18))**(1/8) assuming h is positive. h**(233/44) Simplify ((d/(d**(1/3)/d))**10)**(4/7)*d**0/(d/((d**(-3)/d*d*d)/d))*d/(d*d**3)*d*(d**(-3/4)/d)/d assuming d is positive. d**(65/84) Simplify u**(3/4)/(u/(u/(u*(u*u*u/(u*u**(-2/15))*u)/u)))*u*(u*u*u**(-7))/u*u**(4/3)*(u/(u*(u*u**1)/u)*u*u*u**(1/5))**(-40) assuming u is positive. u**(-1081/20) Simplify (((((n**8*n)/n)/n**2)**(2/7))**36)**(12/17) assuming n is positive. n**(5184/119) Simplify ((z**(-1)/z)**(-22))**(2/37)*(z/(z**0*z))**47*z/((z*z/(z*z**(4/11)))/z)*(z*z**0)/z assuming z is positive. z**(1523/407) Simplify ((h**(-4)*h**(-2))/(h**1)**0)/(h**(-1/5)/(h*h**(2/3)/h*h))**15 assuming h is positive. h**22 Simplify ((v**24/v)/v)/(((v*v**(-3/10)*v*v)/v*v)/v*v)*v**30*v**(2/13) assuming v is positive. v**(6429/130) Simplify ((j/(j/(j/j**(-1/4))))/(j**7/j)*j/(j**(-2/15)*j*j)*j**(-2))/(j*j*j/(j*(j*j**(-3/5)*j)/j)*j*j**0*j**6*j/j**(-2)) assuming j is positive. j**(-1153/60) Simplify (((v*v**(-3)*v)/(v**(1/6)*v))/(v**(-1/4))**(-41))/((v*v**(1/4))**(6/11)*v**(3/7)*v/(v*v**(2/7)*v*v*v)*v) assuming v is positive. v**(-10387/924) Simplify ((t/(t*t**(3/5)))**(-3/26))**(1/17)*((t**(-3)/t)/((t*t**(5/7))/t))**22 assuming t is positive. t**(-1604397/15470) Simplify (t**34*t*(t*t/t**30)/t)/(t*t**22*t**(-2)) assuming t is positive. t**(-15) Simplify (n/(n**0*n))**(-26)*(n**(-4)*n)/n**8*(n*n**(1/3))**(-1/35)*(n*n**(-3/7))/(n*n**1/n) assuming n is positive. n**(-172/15) Simplify ((j**(2/9)*j)**(22/7)/((j/j**(-1/11))/j*j)**39)**(6/5) assuming j is positive. j**(-53644/1155) Simplify (z**7*z/(z/(z**(4/7)/z))*z)/(z**(-2/3)*z*(z/z**(-2/5)*z)/z)*((z**(2/9))**37)**(-24) assuming z is positive. z**(-20107/105) Simplify (((((f/(f**(-4/7)/f)*f)/f)/f)/f*f**(-1/11))/(f**(1/3))**(35/6))**12 assuming f is positive. f**(-4058/231) Simplify (q/(q**(1/7)/q)*q**(-1/6)*q*(q**2/q)/q*q**5*q)/(((q**3/q)/q)/q**(-3)*(q/(q/(q/(q/((q**4/q)/q)))))/(q*q**3)) assuming q is positive. q**(281/42) Simplify (((g*g/(g*(g*g**4*g*g)/g))/((g**(-3/7)/g)/g)*(g*g/(g*g*g*(g/g**(-5/3))/g))/(g/(g*g**(-3/5))*g*g))**(-23))**1 assuming g is positive. g**(18929/105) Simplify (m**(14/13))**(-16)*(m**(1/41)*m*m)**50 assuming m is positive. m**(44766/533) Simplify (s*s*s**0*s)/s**(-5/3)*(s**(-1))**(-50)*(s**(-1/4))**(-18/11)/(((s**(-1/4)/s)/s)/s**(-2/25)) assuming s is positive. s**(188911/3300) Simplify (((y*y**(-2)/y*y)/y)**(-28)/(y**(1/3)/y)**(-6))/((y*y/(y/(y/y**3))*y)**13)**19 assuming y is positive. y**52 Simplify ((j/j**1*j)**9*j**(4/9)*j**(-4))/((j**(-1))**3)**(4/3) assuming j is positive. j**(85/9) Simplify (((p**(-5/2)*p**(2/11)*p)/(p**(6/5)*p*((p**10/p)/p*p)/p))**(-2/43))**(-2/27) assuming p is positive. p**(-2534/63855) Simplify (k**(-2/7)*k**(10/3))**(-2/45)/((k/(k*k**(-1)))/(k**3*k)*(k/k**(-1/4))**(4/29)) assuming k is positive. k**(73778/27405) Simplify ((k/(k*k**(-1)/k)*k*k**(2/5))/((k**(-2)/k)/(k*k**(1/2)*k*k)))/(k*(k/((k**(3/4)/k)/k))/k*k**(-1/11)*k)**48 assuming k is positive. k**(-15591/110) Simplify ((a**(-3/13)/(a/(a*a*a/(a/(a/(a/(a/a**40)))))))/((a/(a*a/(a/a**(-1/28))*a))/((a*a/a**(-4/13))/a)))**17 assuming a is positive. a**(-222513/364) Simplify (t**(-3)/t*t)/t**2*t**(1/5)/t*t*t/((t*t*t**(-2/7)*t)/t*t)*t*(t*t**(-1)/t)/t*t**(1/4)*(t*t**1)/t*(t*t/(t**(2/3)/t))/t assuming t is positive. t**(-2071/420) Simplify (((m/(m*(m*m/m**(-1)*m)/m*m))/m)**(-6)/(m**8*m*m/m**(6/11)))/(m/(m*m**(2/19)*m)*m**(-3/11))**49 assuming m is positive. m**(18406/209) Simplify ((y/y**0)/(y*y*y*y**(-2/9))*(y**0)**(-43))/(((y**1*y)/y)**(-13/7)*(y**(1/2)*y)**9) assuming y is positive. y**(-1691/126) Simplify c**3*c*c**(-3)*(c*c*c/c**(3/5))/(c**(-8)*c)*(c**(-1/4)/c**(-2/11))/(c**(-1/5))**(-5/3) assuming c is positive. c**(6599/660) Simplify (w/w**2)**(1/25)*(w*w**(-3/8))/(w/(w/(w*w/w**(-9)))*w)*((w**(-5)*w)/(w**9/w))/(w**(-1)*w*w**(2/7)) assuming w is positive. w**(-33181/1400) Simplify (j/(j/(j/(j/j**(4/5)))))/(j/j**6)*j**(1/4)*j**6*((j*j*(j*j**4*j)/j)/j**(-5))/((j*j/j**5)/(j*j**(-5)*j)) assuming j is positive. j**(481/20) Simplify (i/i**(-1/10)*i*i*i*i**(2/19)*i)**(4/7)*(i**0)**(11/5)*(i*i/i**(5/2))/(i*i**(-2/3)/i) assuming i is positive. i**(12533/3990) Simplify ((y**(-5)/(y/(y**(4/9)*y)))**(-24))**27 assuming y is positive. y**2952 Simplify (g*g/(g**(1/4)*g))**(-26)*(g/(g/(g**(-1/4)*g)))**(1/36)*(((g**(-2)*g)/g)/(g/(g*g**(-2/13))))**20 assuming g is positive. g**(-39035/624) Simplify (k*k**(10/9))**(-24)/(k**(-42))**(-1/11) assuming k is positive. k**(-1798/33) Simplify (((v**1*v)**(-42)*v/(v/((v**(5/6)*v)/v))*(((((v*v/((((v/((v**(-6)/v*v)/v)*v)/v*v*v*v)/v)/v))/v)/v)/v)/v)/v)**(16/3))**13 assuming v is positive. v**(-59384/9) Simplify (m/m**(5/3)*m*m**3)**18/(((m*m*m**(-6)*m)/m*m)/(m/(m/(m*m**(2/13)))))**(-1/13) assuming m is positive. m**(10086/169) Simplify o**(2/15)*o*o**(-3/41)*o**(-6/19)*o*o*o**(3/5) assuming o is positive. o**(39079/11685) Simplify (((t**(-1/4)/(t*t**(-2/11)*t*t))/(t/(t**2/t))**(2/3))**(-10/13))**(-2/35) assuming t is positive. t**(-135/1001) Simplify u**(-2)/(u**2*u)*((u/(u/u**1))/u)/u**(1/3)*((u/(u*u**2))/u**(-5/6))**(-12) assuming u is positive. u**(26/3) Simplify (b**(-4/3)*b**(-3))**(2/39)*b**(-3/8)/(b**(4/5)*b)*(b**0*b)**11 assuming b is positive. b**(3097/360) Simplify ((l*l*l*l**0/l*l)**(1/21))**(-4/7)*((l/(l/l**(-2/15)))/(l/(l*(l*l**(-2/9))/l)*l))/(l**(-2/3)/l**6) assuming l is positive. l**(11531/2205) Simplify (a**(1/4)*a**(-1/3))/(a/(((a*a**(1/2))/a)/a*a))**(2/55)*(a**(-15)*(a**(-2/5)*a)/a)**(2/13) assuming a is positive. a**(-21199/8580) Simplify (b/(b/b**4))/b*b/(b**(-4/7)*b*b)*b**(-2/9)/(b**6/b)*(b/(b**(-1)/b*b))**(-2/83)*b**(-2/15)/b**(-1) assuming b is positive. b**(-47906/26145) Simplify ((((t*t**(2/13))/t)**(-31)*t**(-1/4)/(t/t**(1/3)))**(-46))**(2/83) assuming t is positive. t**(20401/3237) Simplify ((k/(k**(4/5)*k))/(k/(((k/k**(-9)*k*k)/k)/k)))**19*(k**(2/7)*k)**(-7)*(k/((k*k**(-4/7)*k*k)/k))/k*k**(-5) assuming k is positive. k**(4913/35) Simplify ((a**(8/5)*a/a**23)/(a**(-5/2))**(2/49))**(-16) assuming a is positive. a**(79568/245) Simplify g**(-4)/(g*g**(5/3))*(g**(-1/4))**(-2/133)*(g/g**(-1))**(-14)*g**(-2/7)*g**(-7)*g assuming g is positive. g**(-32677/798) Simplify (u**(-7/5)*u**(3/10)*(u/u**(-5/6))/(u/(((u**(-7/2)/u)/u)/u)))/((u/u**(-3/2))**(-27/7))**(-3/35) assuming u is positive. u**(-5581/735) Simplify ((t/(t/t**(1/3)))/(t/t**(-1/5)))**(1/13)*((t**(-1))**42)**(-2/23) assuming t is positive. t**(1237/345) Simplify ((b**(-2/35))**8*b**(12/5)/((b**(2/61)*b*b)/b))**(30/11) assuming b is positive. b**(11658/4697) Simplify ((j/j**(1/6))/j**(-3/5))**(-4/19)/((j**0)**(-5/2))**(-1/52) assuming j is positive. j**(-86/285) Simplify ((u**3*(u*(u**(-1)*u)/u)/u)/(u**0)**(-6/25))/((u**2*u*u*u*u*u)/((u
{ "pile_set_name": "DM Mathematics" }
n and 2 f when three letters picked without replacement from {f: 2, a: 1, x: 1, n: 3}? 3/35 What is prob of picking 3 t when three letters picked without replacement from {t: 7, z: 4}? 7/33 Two letters picked without replacement from {p: 5, y: 2, r: 4, k: 8}. What is prob of picking 1 r and 1 p? 20/171 Three letters picked without replacement from mkmkkmmmkmmzkmmmkm. What is prob of picking 1 m and 2 k? 55/272 Three letters picked without replacement from {p: 1, m: 2, u: 4, o: 3, q: 3, g: 2}. What is prob of picking 1 p, 1 u, and 1 g? 8/455 Four letters picked without replacement from {n: 1, e: 2, i: 2, j: 2, c: 1}. What is prob of picking 2 i and 2 e? 1/70 What is prob of picking 1 s and 1 a when two letters picked without replacement from masmyqy? 1/21 What is prob of picking 1 q, 1 d, and 1 y when three letters picked without replacement from rdrrrqryrrxqyr? 1/91 What is prob of picking 1 o and 2 s when three letters picked without replacement from xxoxsoxsooxxsxsox? 3/68 Two letters picked without replacement from {w: 3, s: 3}. What is prob of picking 2 w? 1/5 Three letters picked without replacement from riiiiiiiiriii. What is prob of picking 2 r and 1 i? 1/26 Three letters picked without replacement from lbzylzwbf. Give prob of picking 2 b and 1 l. 1/42 Four letters picked without replacement from {t: 6, w: 7}. What is prob of picking 4 t? 3/143 Calculate prob of picking 1 u and 1 l when two letters picked without replacement from ullyllu. 8/21 Two letters picked without replacement from {p: 2, x: 2, m: 4, s: 2}. Give prob of picking 2 x. 1/45 What is prob of picking 1 y and 2 u when three letters picked without replacement from {u: 2, i: 1, y: 7}? 7/120 Two letters picked without replacement from {q: 2, h: 3, t: 1, p: 4, e: 4, m: 1}. Give prob of picking 2 e. 2/35 Two letters picked without replacement from bbbuubcl. What is prob of picking 1 c and 1 l? 1/28 What is prob of picking 3 n and 1 w when four letters picked without replacement from nwnnnnbnbwnnnnwnbwbn? 176/969 What is prob of picking 2 o and 1 c when three letters picked without replacement from {o: 2, c: 3, j: 1, k: 5, x: 6}? 3/680 Calculate prob of picking 2 t when two letters picked without replacement from titbmthwhbbtthbbhbb. 10/171 Four letters picked without replacement from eeeeeee. Give prob of picking 4 e. 1 Calculate prob of picking 1 x and 1 a when two letters picked without replacement from {h: 3, g: 1, e: 1, x: 1, a: 1}. 1/21 Two letters picked without replacement from {u: 4, z: 5, s: 2}. What is prob of picking 1 z and 1 s? 2/11 Four letters picked without replacement from {l: 1, e: 2, o: 2, a: 2, x: 6, f: 4}. Give prob of picking 1 l, 1 a, 1 o, and 1 e. 2/595 What is prob of picking 2 s when two letters picked without replacement from {s: 2, i: 1, k: 1}? 1/6 What is prob of picking 1 s and 2 l when three letters picked without replacement from lslsllsl? 15/28 What is prob of picking 1 x and 1 c when two letters picked without replacement from dddddcddcxddddc? 1/35 What is prob of picking 1 k and 1 h when two letters picked without replacement from bhhdkdssssdbbdhbshd? 4/171 Calculate prob of picking 1 f and 1 y when two letters picked without replacement from yfwwe. 1/10 Four letters picked without replacement from {q: 2, y: 2, m: 2}. What is prob of picking 1 q, 1 m, and 2 y? 4/15 Two letters picked without replacement from {b: 4, z: 1, f: 1, n: 2, v: 3, m: 1}. Give prob of picking 1 n and 1 b. 4/33 What is prob of picking 1 a, 2 w, and 1 p when four letters picked without replacement from {a: 6, i: 1, p: 4, w: 2, c: 4, o: 3}? 8/1615 Calculate prob of picking 1 h and 1 i when two letters picked without replacement from hzzizihmm. 1/9 Two letters picked without replacement from {r: 1, a: 1, t: 1}. Give prob of picking 1 a and 1 t. 1/3 Three letters picked without replacement from zzzzqzzvwzqzzqvzzzz. What is prob of picking 1 v, 1 z, and 1 w? 26/969 Three letters picked without replacement from {q: 7, c: 2, r: 9}. Give prob of picking 1 c, 1 r, and 1 q. 21/136 Calculate prob of picking 1 j and 2 h when three letters picked without replacement from hjjkkkkhkjkjhkh. 24/455 Calculate prob of picking 2 s and 2 m when four letters picked without replacement from msmsssssssssmssmsss. 105/646 Calculate prob of picking 1 g and 1 t when two letters picked without replacement from {l: 2, g: 8, x: 2, t: 2}. 16/91 Two letters picked without replacement from {x: 1, h: 2, p: 1, m: 1}. What is prob of picking 1 m and 1 p? 1/10 What is prob of picking 1 r and 2 z when three letters picked without replacement from {h: 3, v: 1, r: 1, z: 3, w: 2}? 1/40 Two letters picked without replacement from lhzkkddmmdkhkz. Give prob of picking 1 h and 1 z. 4/91 Four letters picked without replacement from wyyyvgyfw. Give prob of picking 2 w, 1 y, and 1 g. 2/63 Two letters picked without replacement from {n: 6, a: 13}. What is prob of picking 2 n? 5/57 What is prob of picking 1 q and 1 g when two letters picked without replacement from ducgqqqqg? 2/9 Three letters picked without replacement from {e: 2, j: 16}. What is prob of picking 2 e and 1 j? 1/51 What is prob of picking 1 n and 1 q when two letters picked without replacement from {n: 2, q: 7}? 7/18 Two letters picked without replacement from {k: 1, q: 2, i: 3, f: 4, j: 2}. What is prob of picking 1 i and 1 q? 1/11 Calculate prob of picking 1 b, 1 l, and 1 k when three letters picked without replacement from zlzlbkkllllklzlklklz. 5/114 Three letters picked without replacement from ywwweesywyeewew. What is prob of picking 2 w and 1 y? 9/91 Three letters picked without replacement from znzznzzzzzzzzznnznzz. Give prob of picking 1 z and 2 n. 5/38 Calculate prob of picking 1 o, 1 m, and 1 r when three letters picked without replacement from {f: 1, v: 3, r: 9, m: 4, o: 1}. 3/68 What is prob of picking 1 v and 1 h when two letters picked without replacement from hvyyhkhh? 1/7 Two letters picked without replacement from {r: 4, x: 1, h: 1, g: 3, d: 6}. What is prob of picking 2 r? 2/35 Calculate prob of picking 2 e when two letters picked without replacement from {j: 5, e: 7}. 7/22 Calculate prob of picking 2 x and 1 b when three letters picked without replacement from bhhqxynhqxhy. 1/220 Two letters picked without replacement from {c: 3, v: 4}. What is prob of picking 2 v? 2/7 What is prob of picking 1 k and 3 l when four letters picked without replacement from {l: 7, k: 10, e: 1, o: 1}? 175/1938 Calculate prob of picking 2 y and 2 w when four letters picked without replacement from wawwaaywaalwlwawwyla. 28/4845 Calculate prob of picking 2 r when two letters picked without replacement from grgeeeeedemere. 1/91 Four letters picked without replacement from ihhhhhhhhhhh. Give prob of picking 1 i and 3 h. 1/3 Three letters picked without replacement from {l: 2, e: 4, k: 1, i: 1, f: 2, m: 2}. What is prob of picking 1 f and 2 e? 3/55 Calculate prob of picking 1 c, 1 v, and 2 i when four letters picked without replacement from {i: 10, v: 2, c: 4}. 18/91 Three letters picked without replacement from {v: 1, w: 1, t: 3}. What is prob of picking 3 t? 1/10 Two letters picked without replacement from {n: 1, z: 3, e: 2, k: 1, d: 1, u: 5}. Give prob of picking 1 k and 1 z. 1/26 Three letters picked without replacement from {n: 6, o: 13}. What is prob of picking 3 o? 286/969 Calculate prob of picking 1 s and 2 n when three letters picked without replacement from {n: 2, s: 7}. 1/12 What is prob of picking 1 r and 1 p when two letters picked without replacement from pmrpmpm? 1/7 Two letters picked without replacement from mlpvpkvgpppv. Give prob of picking 2 p. 5/33 Two letters picked without replacement from vxqexnj. Give prob of picking 1 n and 1 x. 2/21 Four letters picked without replacement from {z: 16, f: 4}. Give prob of picking 1 z and 3 f. 64/4845 What is prob of picking 3 a and 1 c when four letters picked without replacement from acpccccaaccacaa? 32/273 What is prob of picking 1 z, 1 t, and 2 i when four letters picked without replacement from {t: 3, k: 1, i: 7, z: 4, q: 2}? 9/85 Two letters picked without replacement from xzejxjrl. What is prob of picking 1 r and 1 z? 1/28 Two letters picked without replacement from {k: 2, j: 2}. Give prob of
{ "pile_set_name": "DM Mathematics" }
3*k**4 - 1476*k**2 - 65*k wrt k. -72*k - 264 Let v = 323/410 + 1/82. Let a(s) be the second derivative of 0*s**4 - 7*s**2 + 6*s + 0 - v*s**5 + 0*s**3. What is the derivative of a(b) wrt b? -48*b**2 Let n(j) = -5*j**2 + 1 + 21*j**2 - 6. Let u(q) = q**2 - 83 - 2*q + 2*q + 82. Let t(g) = -n(g) + 4*u(g). What is the derivative of t(m) wrt m? -24*m Suppose 31*h = 34*h - 114. Find the third derivative of h*q**3 - 6928 + 19*q**2 + 6928 + 2*q + q**4 wrt q. 24*q + 228 What is the third derivative of 956*l**2 + 76*l**3 - 345*l + 176*l - 16*l**5 + 169*l - 6*l**5 wrt l? -1320*l**2 + 456 Let o = -533 + 538. Differentiate 154 + 38*n**2 - 5 - o wrt n. 76*n Suppose 3*x + 4*w - 183 - 178 = 0, 0 = 3*w + 15. Differentiate -10*i**3 + 36 + 1 + x*i**3 + 30 wrt i. 351*i**2 Suppose 4*y + 3 = -c + 11, 3*c = y - 2. Suppose -y*o = -2 - 8. What is the first derivative of -2 - 11*s**4 - o*s**3 - 3*s**3 + 8*s**3 wrt s? -44*s**3 Let p(v) be the third derivative of 5449*v**6/120 + 3*v**4 - 421*v**2 + 6*v. Find the second derivative of p(w) wrt w. 32694*w What is the third derivative of -u**3 - 125*u - 6*u + 22*u - 3*u**3 + 48*u**4 - 7*u**2 - 25*u wrt u? 1152*u - 24 Let v(x) = 5*x + x - 49 + 44 - 5*x. Let h be v(5). Find the third derivative of h + 5 + 3*u**3 + 4 + 2*u**6 - 2*u**2 + 3*u**2 wrt u. 240*u**3 + 18 What is the second derivative of 520*r**3 + 1181*r + 1178*r - 3588*r + 2 - 2 wrt r? 3120*r Let r = -20343 - -20367. Let u(b) be the first derivative of -33 - 5/2*b**2 + r*b. What is the first derivative of u(g) wrt g? -5 What is the second derivative of 6 - 22 + 836*s - 3*s**4 + 558*s + 223*s**2 + 16 wrt s? -36*s**2 + 446 Let n be (-60)/20*2/3*-1. Find the first derivative of 19 - 9 - 4 - 24*x**n - 9 - 2*x wrt x. -48*x - 2 Let b be 1 - -6 - (-12)/4. Suppose 4*p + 2*k - b = 0, p + 3*k = 3*p - 17. What is the first derivative of 19*c**4 + 9 + 4 - 1 - 35*c**p wrt c? -64*c**3 Let j(g) be the second derivative of -5217*g**5/10 + 5167*g**4/6 - 499*g. Find the third derivative of j(b) wrt b. -62604 Let f be -6 + ((-40)/4)/(2/(-25)). Differentiate f*h + 88 - 61 + 84 with respect to h. 119 Let j(f) = -2*f**2 - 10*f. Let u(r) = -2128*r**4 + 6*r**2 + 489*r. Let g(q) = -3*j(q) - u(q). What is the second derivative of g(l) wrt l? 25536*l**2 Let d(b) be the first derivative of 133*b**4 + 1538*b - 382. Find the first derivative of d(l) wrt l. 1596*l**2 Find the third derivative of 7*r**6 + 6622*r**3 - 1651*r**2 - 6429*r**3 - 3*r**6 wrt r. 480*r**3 + 1158 Let g(r) be the first derivative of 0*r**2 + 61 + 67/5*r**5 + 0*r**3 + 0*r**4 + 58*r. What is the derivative of g(a) wrt a? 268*a**3 Let f(b) = -1474*b + 8782. Let v(m) = -295*m + 1756. Let o(k) = 3*f(k) - 16*v(k). What is the derivative of o(l) wrt l? 298 Let m be (84/(-20) - 1)/((-1)/10). Find the second derivative of -6*l + 12*l + 41*l**5 + m*l wrt l. 820*l**3 Let g be 10/6*126/70. Find the second derivative of 575*h - 819*h + 300*h**5 + 7*h**3 + 2*h**g - 9*h**3 wrt h. 6000*h**3 Suppose 783*v = 734*v. Let k(n) be the second derivative of 1/2*n**2 + 0 + 13/20*n**5 + v*n**4 + 2*n + 0*n**3. Find the first derivative of k(r) wrt r. 39*r**2 Let b(k) = k**2 + 16*k + 105. Let j be b(-10). What is the third derivative of -181*h**3 + 121*h**2 - j*h**3 - 29*h**2 + 50*h**3 + 57*h**2 wrt h? -1056 Let l(g) = 8*g + 110. Let u be l(-13). Find the second derivative of 11*i**2 - u*i + 14*i + 1 + 19*i**2 wrt i. 60 Let h(x) = -209*x**2 + 19*x + 2565. Let b(o) = 418*o**2 - 37*o - 5136. Let l(j) = 4*b(j) + 7*h(j). Differentiate l(s) wrt s. 418*s - 15 What is the second derivative of 392 - 2*m - 1319*m**3 - 154 + 193 - 2*m**4 wrt m? -24*m**2 - 7914*m Let m(g) be the second derivative of -1234*g**4 - 4241*g**3/2 + 7973*g. What is the second derivative of m(k) wrt k? -29616 Let v(n) be the first derivative of 0*n**3 + 83*n - 81 + n**2 + 51/4*n**4. What is the derivative of v(q) wrt q? 153*q**2 + 2 Let g(i) = -4*i - 5. Let h be g(-4). Let s = -245 - -257. What is the second derivative of h*v**4 + 2*v - 6*v + 6*v**4 - s*v wrt v? 204*v**2 Let z = 4053 - 4033. Let j(h) be the second derivative of 11/2*h**2 + 0*h**3 - z*h + 0 - 5/12*h**4. Find the first derivative of j(u) wrt u. -10*u Let r(w) be the second derivative of -177*w**6/10 - w**4/3 + 29*w**3/2 - 7*w + 9. Find the third derivative of r(j) wrt j. -12744*j Let z(p) = -p**4 - p**3 - p**2 + 1. Let b(g) = -369*g**4 + 3*g**3 + 3*g**2 - 1753*g - 3. Let r(i) = b(i) + 3*z(i). What is the second derivative of r(w) wrt w? -4464*w**2 Find the second derivative of 7*u + 59*u + u**4 - 832*u**5 + 506*u**5 wrt u. -6520*u**3 + 12*u**2 Let i = 31 - 28. Let l(o) = -13 + i + 15 + 2 - 18*o. Let t(d) = 37*d - 13. Let r(b) = 5*l(b) + 2*t(b). What is the first derivative of r(a) wrt a? -16 Let d(b) be the first derivative of 1745*b**6/6 + b**4/2 + 503*b**3 - 2651. What is the third derivative of d(l) wrt l? 104700*l**2 + 12 What is the derivative of 113*i**2 - 1962 - 4471 + 1246 - 6*i - 182*i**4 - 113*i**2 wrt i? -728*i**3 - 6 What is the second derivative of 11 + 15*j**2 + 47*j**2 - 66*j**2 - 7*j - 93*j**3 wrt j? -558*j - 8 Let p(g) = -2*g**2 + g + 51. Let v be p(5). What is the first derivative of 53 - 88*q**2 - 42*q**2 - v + 20 wrt q? -260*q Let c(v) be the second derivative of -v**7/7 + 7*v**5/10 - 3719*v**4/12 + 1353*v - 1. What is the third derivative of c(w) wrt w? -360*w**2 + 84 Suppose 14*o = -17 + 73. What is the third derivative of 275*f**4 - 135*f**4 - 3*f**3 + 30*f**2 - 134*f**o + 12*f**2 wrt f? 144*f - 18 Let i(l) be the third derivative of 5/24*l**4 + 12*l**2 + 0 + 0*l**6 + 0*l**5 - 14/3*l**3 - l - 4/105*l**7. Find the first derivative of i(m) wrt m. -32*m**3 + 5 Let j = 281 + -279. Find the third derivative of 10*h**j - 96 + 30 + 34 + 63*h**3 + 30 wrt h. 378 Let i(g) = -177*g**2 - g + 1472. Let c(y) = -y**2 - 3. Let h(p) = 3*c(p) + i(p). Differentiate h(m) wrt m. -360*m - 1 Find the third derivative of -66*z**2 + 519*z**2 + 660*z**5 + 660*z**2 wrt z. 39600*z**2 Suppose 0*x - 12 = -x. Suppose 4*s + 0*s = x. Find the second derivative of -12*k**2 + 3*k - 2*k - s*k wrt k. -24 Let h = -849 - -1634. Find the second derivative of 42*y**2 + 781*y + h*y - 1669*y wrt y. 84 What is the third derivative of -645*u**4 - 6*u**3 + 379*u**2 - u**5 + 8*u**3 + 543 - 542 - 2*u wrt u? -60*u**2 - 15480*u + 12 Let p = 24/505 + 2237/6060. Let i(s) be the third derivative of -8/3*s**3 + p*s**4 + 8*s**2 + 0 + 0*s. What is the derivative of i(k) wrt k? 10 Let c(k) be the first derivative of -4*k**5/5 - 95*k**2/2 - 1235*k + 881. What is the first derivative of c(a) wrt a? -16*a**3 - 95 Let x be (18/(-6))/3 - -1. What is the third derivative of h**2 + 26*h**3 + 5*h**3 + x*h**2 + 9 + 13 wrt h? 186 Find the third derivative of -42*i**5 + 497*i**2 + 12*i**5 + 23*i**5 - 54*i**3 - 1349*i**2 wrt i. -420*i**2 - 324 What is the second derivative of -43*l + 47 + 8 + 1094*l**3 + 60*l - 26*l wrt l? 6564*l Let l = -213 - -218. What is the second derivative of 17*s**5 - 2 - 3 + 80*s**5 + 2*s - s**l - 2 wrt s? 1920*s**3 Find the first derivative of -599 - 3123 - t - 462*t**2 - 471 wrt t. -924*t - 1 Let u(z) = -z**2 - 6*z + 19. Let s be u(-8). What is the second derivative of 39*g**2 + 1 + g**2 + 3*g**3 + 20*g - 2*g**s - 12*g**2 wrt g? 6*g + 56 Suppose -8*j + 34 = -6*j. Find the first derivative of -157*f + j - 88 - 232*f + 481*f wrt f. 92 Suppose 82 = 4*r - 5*p, 2*r + p + p = 32. What is the second derivative of -85*a - 19 + 7*a**4 - 2*a**4 - 10*a**2 + r wrt a? 60*a**2 - 20 Let f = 62 - 60. Let a(n) = -64*n**2 + n - 14. Let i(c) = -2*c**2 - c. Let t(h) = f*i(h) + a(h). Find the second derivative of t(z) wrt z. -136 Let q = 13 + 52. What is the third derivative of -40*h**2 - 9*h**4 + q*h**2 - 2*h**6 - 18*h**4 wrt h? -240*h**3 - 648*h Find the third derivative of -156*f**2 + 9 - 3302*f**3 + 408*f**2 - 4916*f**3 wrt f. -49308 Find the third derivative of 29490*u**3 + 2*u**2 - 29491*u**3 - 3 + 9*u**6 - 8 wrt u. 1080*u**3 - 6 Let u(f) = -f**3 + f**2 - f - 1. Let o(t) = 2*t**4 - 3*t**3 + 3*t**2 + 486*t + 1014. Let r(w) = -o(w) + 3*u(w). What is the derivative of r(y) wrt y? -8*y**3 - 489 Let p be (6/(-4))/((-24)/304). Let r = p - 17. Find the first derivative of -17*w**4 - 1 - 14 - 2*w + r*w wrt w. -68*w**3 Suppose -6*q = -q + 510. Let s = q + 112. F
{ "pile_set_name": "DM Mathematics" }
multiple of 16 and h. 48 Let b = 57 - 231/4. What is the common denominator of b and (77/(-28))/((-7)/12)? 28 Calculate the common denominator of 50/3 and ((-403)/(-1860))/((-4)/(-10)). 24 Let l be (12/(-9) - -2)*3. Calculate the common denominator of ((-493)/(-4556))/(l/12) and 57/8. 536 Let o = 5323/780 + -29/52. Let s = -1385 + 66487/48. Calculate the common denominator of s and o. 240 Let n be (9/246*-2)/(-1). Let j = 67515 + -8304418/123. Let o = j - n. What is the common denominator of o and 49/11? 33 Suppose 4*v - 3*l = 19, -5*l = -2*v - 3*l + 12. Let g = 1 - -1. Suppose -g*d - 3*d = -15. Calculate the smallest common multiple of d and v. 3 Let f be (-7)/(756/25496)*3. Let c = -710 - f. Find the common denominator of -44/21 and c. 63 Let v = -34751/6 - -5814. Let d = -6 - -7. Find the common denominator of ((-7)/(-70))/(d/(-28)) and v. 30 Suppose -14*b + 173 - 33 = 0. Calculate the lowest common multiple of 11 and b. 110 Let f be (-14)/(-91) + 457/(-13). Find the common denominator of (3/2)/((-45)/(-321)) and 94/(-25)*f/28. 10 Let d = -18 + 29. Let u = -6 - -10. Suppose 5*a - 5*g - 5 = 35, -u*g + 4 = 2*a. Calculate the smallest common multiple of d and a. 66 Let v be (-1)/(5/19660)*(-87)/(-168). Let p = 2035 + v. What is the common denominator of -51/20 and p? 140 Let a = -86/171 - -228971/684. Let y = a - 309. Find the common denominator of y and 73/16. 16 Let j be -2 - -4 - ((-4 - -4) + -2). Suppose 0 = -3*k + k - 3*d + 20, -d - j = 0. Calculate the smallest common multiple of 16 and k. 16 Let t = -93721/1099854 + 2/11223. What is the common denominator of t and 61/12? 588 Let o = 4/31885 - -5005681/2104410. Calculate the common denominator of -103/24 and o. 264 Suppose 2*h = h + z + 9, 0 = -5*h + z + 45. Let o = h - 20. Let k = -7 - o. What is the lowest common multiple of k and 8? 8 Let w = 19517 + -409778/21. Calculate the common denominator of -28/75 and w. 525 Let b = 4 + -3. Let j(y) = 6*y + 17. Let o(t) = t + 3. Let i(v) = 6*j(v) - 34*o(v). Calculate the lowest common multiple of 8 and i(b). 8 Let f be (-16334)/16 + 27/72. Let r = -998 - f. Let m = -3647 + 21781/6. Calculate the common denominator of m and r. 6 Let t(c) = c**2 - 2*c + 114. Let g be t(0). What is the common denominator of -35 and 3 - (g/27 + -2)? 9 Suppose 5*q + 3*k - 2338 = 0, -4*q + 2*k + 1896 = -2*k. Let b = 969/2 - q. Find the common denominator of b and -1/8. 8 Suppose y + 3*c = -y + 365, 5*y = -5*c + 910. Let w be -142*(2 + (-7)/9). Let j = w + y. Find the common denominator of j and 26/9. 9 Suppose 3*a - 4*s + 2 = 0, 3*s = -3*a + 10 + 2. Suppose 0 = n - a, -5*n - 10 = -4*k. Suppose -25 + k = -2*x. Calculate the smallest common multiple of 13 and x. 130 Suppose 5*x = 431 + 94. Calculate the lowest common multiple of 30 and x. 210 Let p be (-4)/((-8)/10) - 5. Suppose p = -r - 78 + 84. What is the least common multiple of 10 and r? 30 Find the common denominator of ((-3)/(-54))/((-34)/(-969)) and -133/726. 1452 Let h(j) = -7 - 5*j + 9 - 4 + 1. What is the smallest common multiple of h(-1) and 2? 4 What is the common denominator of (7*1/16)/(26/234) and -77/20? 80 Let x be -3 + (-2)/168*12406. Let v = x - -445/3. Find the common denominator of (-101)/30 - 2/(-3) and v. 70 Let c = -1093 - -1233. What is the smallest common multiple of c and 220? 1540 Let t be 3 + -5 - (-1 - -24). Let p = -3 - t. What is the least common multiple of p and 34/6 - -1*(-1)/(-3)? 66 Let s = 3437 + -24098/7. Calculate the common denominator of s and (0 - -1)*(-194)/(-16). 56 Let p = 5935 + -11954. Let n = 48221/8 + p. Let g = 37/20 + -9/10. Calculate the common denominator of n and g. 40 Let o = -26519/18 - -1475. What is the common denominator of o and (796/144 + 4)*2/7? 18 Let h(j) = j**3 + 12*j**2 + 10*j - 13. Let d be h(-11). Let g be (-1)/d*(2 - 2). Calculate the common denominator of -47/6 and (417/(-72) - -2) + g. 24 Let h = 70181/2520 - 948/35. Calculate the common denominator of h and 13/2. 72 Find the common denominator of -37/33 and 23/92 + (-347)/132. 66 Let s(d) = -2*d - 28. Let c be s(-14). Suppose 0*b + 2*b - 2 = -f, c = b + 1. What is the lowest common multiple of 20 and f? 20 Suppose z = -4*u + 524, -3*z - 305 = -5*u + 333. Calculate the smallest common multiple of 260 and u. 260 Let h = -23 + 25. Suppose -2*i - 5 = 3*l - 25, 5*l - 40 = -5*i. What is the least common multiple of i and h? 4 What is the common denominator of (-2 + (-128)/(-20))/((-156)/(-351)) + -2 and (60/14)/1*1? 70 Find the common denominator of 64/9 and (164/20)/(324/(-30)). 54 Suppose -3*o = -o + 2*t - 10, -3*o - 5*t + 21 = 0. Suppose 10*y = o*y + 16. What is the lowest common multiple of y and 26? 26 Let p = -21765 - -1675881/77. What is the common denominator of p and 79/56? 616 Suppose 3*n - 16 = -z - 6, 4*n = -z + 14. Calculate the common denominator of (-2)/(-3) + (-454)/(-84) and (-1830)/(-1440)*(6 + 0)/z. 112 Let l be (0 - (-40)/(-114)) + 0. Let j be (4615/(-1140) - -4)*314. Let y = j + l. Find the common denominator of -73/9 and y. 18 Let k = 41987479/180 - 233263. Find the common denominator of -103/6 and k. 180 Suppose 0 = -2*i - i - 2*r + 11, -r - 40 = -5*i. Let l = 11 - i. What is the smallest common multiple of l and 8? 8 Let p(s) = 2*s**2 - 17*s + 12. What is the lowest common multiple of p(9) and 6? 42 Let l = 88 + -43. What is the smallest common multiple of l and 9? 45 Calculate the smallest common multiple of (-2)/4 - 9/(-2) and -4*(321/(-90) - 16/(-240)). 28 Let y(g) = 9*g**2 + g - 1. Let t be y(-2). Suppose -177 = -4*j - t. Calculate the lowest common multiple of 3 + 5/(20/j) and 12. 12 Let t(c) = -c**3 - 5*c**2 + 5*c - 8. Let j be t(-7). Let r = j - 33. What is the common denominator of (-4*(-5)/r)/(-2) and 37/8? 88 Let d be (-1 - 17)*2/3. Find the common denominator of 3006/(-126) + 15 + 3/2 and ((-23)/d)/(3/3). 84 Let o be (2 - (-28)/6)*-3. Let u(c) = -c**3 - 6*c**2 + 8*c - 3. Let g be u(-7). Let d = g - o. What is the smallest common multiple of d and 18? 90 Suppose -3*q = -5*d - 356 - 209, 3*q - 515 = -5*d. Calculate the common denominator of -51/5 and (-2254)/q - (-22)/99. 10 Let t(z) = z**3 - 4*z**2 - 9*z + 2. What is the smallest common multiple of 4 and t(6)? 20 Suppose -4*n + 3*n = -3*x - 20, -x - 2*n = 2. Find the common denominator of 2/x + 2508/(-360) and (-490)/(-4)*2/60. 60 Calculate the least common multiple of 55 and (-48)/9 - (-4)/(-6) - -226. 220 Let a = -11012 + 6430955/584. Find the common denominator of a and -101/20. 2920 Let g = 61 + -23. Let q = g + -32. Suppose 0 = -3*p - p - 5*r + 70, 3*p + 5*r - 50 = 0. What is the smallest common multiple of p and q? 60 Let r = 41167/5 - 522409/60. Let t = 473 + r. What is the common denominator of t and 17/7? 84 Let m(w) = w**2 + 9. Let h be m(0). Suppose 5*q + 3 = 3*r + 2*q, 5*r + 3*q - 5 = 0. Let x = h - r. What is the smallest common multiple of 20 and x? 40 Let m = 13 + -8. Let c = 5 - m. Suppose 0*r - 4*r - 3*s + 45 = c, r + 2*s = 15. What is the smallest common multiple of r and 1? 9 Calculate the least common multiple of 90 + 2 + (-1 - 35/(-7)) and 216. 864 Let t = 1 + -1. Suppose -i + t*i + 18 = 0. Calculate the least common multiple of ((-16)/18)/2*(6 - (30 + -15)) and i. 36 Let p be (-80)/50 - (-2)/(-5). Calculate the common denominator of (3 - 264/90)*(-745)/p and 1/21. 42 Let a = -3511750774/4148331 - -2/377121. Let h = -842 - a. Calculate the common denominator of 117/10 and h. 110 Let t be -4*1/(-4) + 186/(-8). Let p = -9/2 - t. Calculate the common denominator of 103/4 - 0 - 1 and p. 4 Let f = 744296/9 - 113148337/1368. Let k = -88366/19 + 4649. Let m = k - f. Find the common denominator of m and 65/24. 24 Let d = 1949 - 31167/16. Calculate the common denominator of d and 3430/(-100) - 12/10. 16 Let j be (-2)/4 + 2/4. Suppose 3*v + 4*m - 13 = 3, 4*v - 4*m - 12 = j. What is the least common multiple of v and 5? 20 Suppose 0 = 6*b - 3 - 9. Calculate the common denominator of (-141)/510 - (-5)/((-25)/b) and 79/8. 136 Let w = 1/310 - -10847/930. What is the common denominator of w and -113/210? 210 Let c(m) = -4*m - 7. Let y = 37 - 30. Calculate the smallest common multiple of y and c(-4). 63 Let i be ((-2)/4)/((-42)/2622). Let q = i - 35. Calculate the common denominator of q and 95/14. 14 Let i
{ "pile_set_name": "DM Mathematics" }
. 7, 113 Let j(l) = 12*l**2 - 9*l + 17. Let w(q) = 6*q**2 - 4*q + 9. Let m(p) = 3*j(p) - 5*w(p). Let u(d) = -d + 7. Let x be u(3). What are the prime factors of m(x)? 2, 37 Let x be (-3)/(2 + 7586/(-3790)). Suppose -16*i + 21*i = x. List the prime factors of i. 379 Suppose 0 = 2*a - 2*k - 2, 0*k = 3*a + 2*k + 12. What are the prime factors of 0 + (a - 3/(-6)*518)? 257 Suppose 15*x - 14*x - 264 = 0. Let q = x - -308. What are the prime factors of q? 2, 11, 13 Let t(x) = -34*x**3 + 7*x**2 - 11*x - 22. Let o be t(-6). Suppose 40*j - 32*j = o. List the prime factors of j. 5, 191 Let o = 7859 - -2078. List the prime factors of o. 19, 523 Let w be ((-17206)/(-35))/(2/5). Suppose w = 18*a - 15*a + 2*n, -3*n + 1233 = 3*a. List the prime factors of a. 11, 37 Suppose -201*t - 30435 = -179*t - 241767. What are the prime factors of t? 2, 3, 1601 Let o be (25 + -5)/(-5) - -8. What are the prime factors of (-1)/((8/(-466))/o)? 233 Let q(p) = 764*p + 155. List the prime factors of q(9). 79, 89 Let f(b) = 299*b + 528. List the prime factors of f(10). 2, 1759 Suppose 14*f = 1115 + 1419. Suppose -f = -k + 633. List the prime factors of k. 2, 11, 37 What are the prime factors of 15 + 22581 + -20 - (4 + -1)? 22573 Let r = 9429 + -7921. What are the prime factors of r? 2, 13, 29 Let h = 599 + 2905. What are the prime factors of h? 2, 3, 73 Let f = 14850 - 9983. List the prime factors of f. 31, 157 Let d(i) = -36*i**3 - 8*i**2 + 53*i + 458. List the prime factors of d(-7). 12043 Let r(p) = p**3 + 21*p**2 + 27. Let k be r(-22). Let i = k - -646. Suppose i = 2*s + 5*b, 5*s - 2*b + 92 = 6*s. List the prime factors of s. 2, 41 Let d(v) = 705*v + 6205. List the prime factors of d(-6). 5, 79 Let j = 61048 - 40660. What are the prime factors of j? 2, 3, 1699 Suppose 5*k + 6*h = 45, 6*k = k + 3*h. Let s be 1/2 - 6/12. Suppose s = 4*f - 4*o - 376, 0 = -k*f - 0*f - o + 290. What are the prime factors of f? 2, 3 Let o(q) = -2*q**2 - q. Let x(l) = 8*l**2 - 22*l + 69. Let k(h) = -5*o(h) - x(h). What are the prime factors of k(-18)? 3, 31 Let l be 6 - 8/((-6)/(-3)). Suppose b - 5*b + 638 = l*n, 4*b + 1609 = 5*n. What are the prime factors of n? 3, 107 Let z = -80732 + 155217. List the prime factors of z. 5, 14897 Let v(b) = 140*b + 1192. List the prime factors of v(25). 2, 3, 17, 23 Suppose -4*d + 310 = -278. What are the prime factors of 5085/(-6)*(-5 - d/(-35))? 2, 3, 113 Let z = -20 + 46. Suppose -29*n = -z*n - 939. List the prime factors of n. 313 Suppose 75*l - 16 = 67*l. Suppose 12*a = 9*a + 2*r + 2312, -l*a = 5*r - 1554. List the prime factors of a. 2, 193 Let x(j) = 44*j - 40. Let u be x(-5). Let s = 397 + u. List the prime factors of s. 137 Suppose -1878*c + 1942*c = 1078336. List the prime factors of c. 7, 29, 83 What are the prime factors of (-8)/(-4) - (11 + 8 + -81584)? 3, 19, 53 Let o = 58004 + -3196. What are the prime factors of o? 2, 13, 17, 31 Suppose 6524 + 2291 = 5*k. Suppose -k - 8478 = -19*v. List the prime factors of v. 7, 11 Let i = 162 - 42. Let p = 119 - i. What are the prime factors of 15 + -15 + (p - -139)? 2, 3, 23 Suppose 3*f + 4*n - 2 = -5, 4*f - n = 15. Suppose 0*c = -5*l - f*c + 9, 5*l - 25 = 5*c. List the prime factors of (6/(-18))/(l/(-873)). 97 What are the prime factors of 2/(-20)*(-57)/(-19) - 330865/(-50)? 13, 509 Let o(p) be the first derivative of -55*p**2 - 48*p + 85. List the prime factors of o(-7). 2, 19 Suppose -s = 3*r + 87 + 32, -2*s - 258 = -4*r. List the prime factors of s/2*(-1892)/110. 5, 43 Suppose -6*l = -1623 - 153. Suppose -2*h + l + 372 = 0. Suppose h = -5*q + 1424. List the prime factors of q. 2, 109 Let z = 27796 + 3023. What are the prime factors of z? 3, 10273 Suppose -5*y = -2*g - 113409, -5*y + 3*g = -11038 - 102378. List the prime factors of y. 22679 Suppose 5*d = -n + 32, 30 = n + d + 2*d. Suppose -22*j = -n*j + 1530. List the prime factors of j. 2, 3, 17 Let d(t) = 41*t**2 - 2*t - 3. Let i be d(-3). Let c = i - 259. What are the prime factors of c? 113 Let q(n) = 29*n**2 - 44*n - 73. What are the prime factors of q(-49)? 2, 3, 83 Suppose 0 = 4*u + d - 3*d - 12, u = 2*d - 3. Suppose -4*q + 1112 = 4*z, 0 = -u*z - 4*q + 1 + 1389. List the prime factors of z. 2, 139 Suppose -52755 = -3*l - 4*f, 0 = -209*l + 207*l - 4*f + 35170. What are the prime factors of l? 5, 3517 Let r(g) = -21*g + 17. Let z be r(5). Let a = z + 83. What are the prime factors of (5 + -21)/(-2) + a? 3 Suppose 2*j = -i - 2*j + 11, -20 = -i + 5*j. Suppose -13*h + i*h = 794. List the prime factors of h. 397 Suppose -g - 6*g + 237330 = 23*g. List the prime factors of g. 3, 293 Let k = 34 - 84. Let s = 76 + -18. Let r = k + s. List the prime factors of r. 2 Let y(h) = -h**3 - 20*h**2 - 130*h + 35. List the prime factors of y(-20). 5, 17, 31 Let t(w) = -w - 5. Let i be 69/(-12) - (27/4)/(-9). Let y be t(i). Suppose y = 5*m - 932 + 297. List the prime factors of m. 127 What are the prime factors of 57158 + (-15 - (-24 - -8))? 3, 29, 73 Let a = -12963 + 39214. List the prime factors of a. 26251 Suppose -42*g = -36*g - 12. Suppose 0 = 2*f - 4*l - 1368, g*f - l = 4*l + 1366. List the prime factors of f. 2, 43 Let x(f) = f**3 + 10*f**2 - 7*f + 40. Let b = -72 + 63. What are the prime factors of x(b)? 2, 23 Suppose -40*d + 1515324 = -7*d - 334755. List the prime factors of d. 7, 8009 List the prime factors of (-4)/(-2) - (-14 - 13149). 5, 2633 Suppose 183*s - 975325 - 927022 = 349651. What are the prime factors of s? 2, 3, 7, 293 Let g = -129 + -1482. Let q = -1091 - g. List the prime factors of q. 2, 5, 13 Suppose 38 = -72*p + 74*p. Suppose 11 = 2*h - p. Let t = h - -96. List the prime factors of t. 3, 37 Let g be ((-24)/(-60))/(4/110). What are the prime factors of (10 - g)/(3/(-3543))? 1181 Let a = 11 + -11. Let r(l) = 2*l + 2. Let y be r(a). Suppose -5*q + 201 = y*z, -5*z - q + 680 = 235. What are the prime factors of z? 2, 11 Let i be (30/(-12))/(5 - 65/12). What are the prime factors of ((-45)/i + -3)*184/(-6)? 2, 7, 23 Suppose -u + 18 = 2*m, u = 3*m + 10 + 3. Let w(v) = 15*v + u*v**2 - 7*v**2 - 41*v**3 - 10 - 4 + 40*v**3. List the prime factors of w(10). 2, 3 List the prime factors of (26 + 1435/(-41))*(721/(-3) + -2). 3, 727 Let a(y) = -2*y - 8. Let d be a(0). Let m = 101 - d. Suppose -p + m = 34. List the prime factors of p. 3, 5 Let k(b) = -217*b**3 - 10*b**2 - 95*b - 771. List the prime factors of k(-7). 5, 14767 Let f(b) = -25*b - 10. Let v be f(-5). Suppose -5*a + 5*z = -420, -119 = -3*a - 3*z + v. Let p = a + -26. List the prime factors of p. 5, 11 Let o(x) = -x + 3. Let y(f) = 16*f - 9. Let h(i) = 6*o(i) + y(i). Let m(v) = -4*v - 9. Let c be m(-4). What are the prime factors of h(c)? 79 List the prime factors of -77358*7/(-21) + (-54)/(-27). 2, 3, 7, 307 Let p be (6 - 4) + 9 - -2. Suppose 4*k - p*k = -6327. Suppose 5*z - k = -178. List the prime factors of z. 3, 5, 7 Let h(l) = l**3 + 2*l**2 + l + 104. Let u = 3 + -2. Let i be ((2 - 3) + u)/1. What are the prime factors of h(i)? 2, 13 Let m(n) = 152*n**2 + 764*n + 57. What are the prime factors of m(13)? 35677 Suppose -5*c - 1 = -4*b - 28, -c + 2*b = -9. Suppose -z = -c*v - 381, -5*z + 1933 = -3*v + 2*v. List the prime factors of z. 3, 43 List the prime factors of 6497974/182 - ((-37)/13 - -3). 3, 3967 Suppose -3*b + 45 = -o, -3*o - 22 - 15 = -2*b. Suppose -6*h - h + b = 0. Suppose g = 4*x + 72, -2*g + 4*g - h*x - 126 = 0. What are the prime factors of g? 2, 3, 5 Let q = 8 + -5. Let j be (-4 + 1)*q/(-9). Let m = j + 64. What are the prime factors of m? 5, 13 Let f be (-4 + 1 - 1) + -7 + -276. Let k = 727 + f. What are the prime factors of k? 2, 5, 11 Suppose -6496 = 9*y - 52. Let p = y - -1169. List the prime factors of p. 3, 151 Let r(u) = -568*u + 72. Let y = -515 + 514. What are the prime factors of r(y)? 2, 5 Let g = 73 - 76. Let p(z) = -112*z + 7. List the prime factors of p(g). 7 Suppose -4*j = 3*p - 6068 - 2520, 14270 = 5*p - 2*j. Suppose -147*r + 139*r + p = 0. List the prime factors of r. 3, 7, 17 Let p = 129 - 124. Suppose -p*c + c = -2380. List the prime factors of c. 5, 7, 17 Suppose -2*u = 12*u - 154. Suppose 8056 = u*d + 2270. List the prime factors of d. 2, 263 Suppose 49 = -b + 3. Let c(p) = -p - 10. Let k be c(-6). What are the prime factors of 23/b - 142/k? 5, 7 Let b(c) =
{ "pile_set_name": "DM Mathematics" }
200271, 233761? n**3 + 3*n**2 + 33324*n + 3 What is the o'th term of 2223, 8545, 18959, 33465, 52063? 2046*o**2 + 184*o - 7 What is the d'th term of 63709, 119603, 175497? 55894*d + 7815 What is the v'th term of 383586, 383471, 383176, 382611, 381686? -15*v**3 - 10*v + 383611 What is the d'th term of 40350, 161297, 362854, 645003, 1007726, 1451005? -3*d**3 + 40323*d**2 - d + 31 What is the c'th term of -3864, -3596, -3324, -3042, -2744, -2424, -2076? c**3 - 4*c**2 + 273*c - 4134 What is the s'th term of -328664, -328648, -328618, -328574, -328516, -328444, -328358? 7*s**2 - 5*s - 328666 What is the j'th term of -4355, -8732, -13139, -17576, -22043, -26540? -15*j**2 - 4332*j - 8 What is the g'th term of 917364, 917371, 917378, 917385, 917392? 7*g + 917357 What is the k'th term of -20435, -19517, -18599, -17681? 918*k - 21353 What is the r'th term of -2937316, -5874637, -8811958? -2937321*r + 5 What is the i'th term of 161749, 323505, 485275, 647065, 808881? i**3 + i**2 + 161746*i + 1 What is the o'th term of -7249007, -14498036, -21747081, -28996142, -36245219, -43494312? -8*o**2 - 7249005*o + 6 What is the a'th term of 9453895, 18907786, 28361675, 37815562, 47269447, 56723330, 66177211? -a**2 + 9453894*a + 2 What is the a'th term of -35153, -35754, -36749, -38132, -39897? a**3 - 203*a**2 + a - 34952 What is the t'th term of 241496, 482771, 724046, 965321, 1206596? 241275*t + 221 What is the k'th term of -23823116, -23823163, -23823212, -23823263? -k**2 - 44*k - 23823071 What is the l'th term of -155568703, -155568704, -155568705, -155568706, -155568707, -155568708? -l - 155568702 What is the f'th term of 256867, 257013, 257161, 257311, 257463? f**2 + 143*f + 256723 What is the d'th term of 537310, 537370, 537420, 537460, 537490, 537510? -5*d**2 + 75*d + 537240 What is the p'th term of 71297, 142635, 213973, 285311, 356649? 71338*p - 41 What is the l'th term of 150, 274, 500, 846, 1330, 1970? 3*l**3 + 33*l**2 + 4*l + 110 What is the y'th term of 3401008, 6802012, 10203016, 13604020, 17005024? 3401004*y + 4 What is the g'th term of 60149776, 60149778, 60149780, 60149782, 60149784, 60149786? 2*g + 60149774 What is the b'th term of 1562661, 3125328, 4687997, 6250668, 7813341, 9376016? b**2 + 1562664*b - 4 What is the u'th term of 124452, 248930, 373464, 498060, 622724, 747462, 872280? u**3 + 22*u**2 + 124405*u + 24 What is the n'th term of 777, 2966, 6741, 12102, 19049? 793*n**2 - 190*n + 174 What is the h'th term of -105, 323, 1611, 4191, 8495, 14955, 24003, 36071? 72*h**3 - 2*h**2 - 70*h - 105 What is the n'th term of 22828895, 22828872, 22828833, 22828778, 22828707, 22828620, 22828517? -8*n**2 + n + 22828902 What is the n'th term of 581573, 1164174, 1746775? 582601*n - 1028 What is the f'th term of -11450, -13052, -14668, -16304, -17966, -19660? -f**3 - f**2 - 1592*f - 9856 What is the x'th term of -91574878, -91574883, -91574890, -91574899? -x**2 - 2*x - 91574875 What is the z'th term of -162057, -648235, -1458537, -2592963, -4051513, -5834187, -7940985? -162062*z**2 + 8*z - 3 What is the p'th term of 240775, 240784, 240767, 240712, 240607, 240440? -2*p**3 - p**2 + 26*p + 240752 What is the t'th term of -1084811, -2169634, -3254457, -4339280, -5424103? -1084823*t + 12 What is the w'th term of 91494, 90934, 90370, 89802, 89230, 88654, 88074? -2*w**2 - 554*w + 92050 What is the l'th term of 731, 975, 1219, 1463? 244*l + 487 What is the h'th term of -14056, -13732, -13420, -13126, -12856? -h**3 + 331*h - 14386 What is the z'th term of -12828, -13062, -13282, -13488, -13680? 7*z**2 - 255*z - 12580 What is the d'th term of 12761121, 12761122, 12761123, 12761124? d + 12761120 What is the x'th term of -110527369, -110527370, -110527371, -110527372? -x - 110527368 What is the m'th term of -17248, -35264, -53280, -71296, -89312? -18016*m + 768 What is the t'th term of 17851544, 71406166, 160663870, 285624656, 446288524, 642655474, 874725506? 17851541*t**2 - t + 4 What is the p'th term of 486434, 486430, 486434, 486452, 486490, 486554, 486650? p**3 - 2*p**2 - 5*p + 486440 What is the o'th term of 39685, 41064, 42443, 43822, 45201? 1379*o + 38306 What is the i'th term of -159379, -159371, -159349, -159307, -159239, -159139? i**3 + i**2 - 2*i - 159379 What is the z'th term of 2951213, 2951223, 2951237, 2951255, 2951277, 2951303, 2951333? 2*z**2 + 4*z + 2951207 What is the z'th term of 41752, 41530, 40932, 39772, 37864, 35022? -31*z**3 - 2*z**2 + z + 41784 What is the i'th term of 151977106, 151977098, 151977076, 151977034, 151976966, 151976866, 151976728? -i**3 - i**2 + 2*i + 151977106 What is the v'th term of 2303, 8951, 20021, 35507, 55403? -v**3 + 2217*v**2 + 4*v + 83 What is the z'th term of 4746, 19044, 42876, 76230, 119094? -2*z**3 + 4779*z**2 - 25*z - 6 What is the l'th term of 17, 123, 217, 209, 9, -473, -1327? -15*l**3 + 84*l**2 - 41*l - 11 What is the z'th term of -1149102, -1149170, -1149232, -1149288, -1149338, -1149382, -1149420? 3*z**2 - 77*z - 1149028 What is the u'th term of 4956, 20691, 46908, 83607, 130788? 5241*u**2 + 12*u - 297 What is the m'th term of 309, 2373, 7951, 18789, 36633, 63229, 100323? 291*m**3 + 11*m**2 - 6*m + 13 What is the u'th term of 3639, 3303, 2741, 1953, 939, -301, -1767? -113*u**2 + 3*u + 3749 What is the a'th term of -8736507, -17473116, -26209725? -8736609*a + 102 What is the o'th term of -1726897, -1725701, -1724507, -1723315, -1722125? -o**2 + 1199*o - 1728095 What is the j'th term of 94116041, 94116043, 94116047, 94116053, 94116061? j**2 - j + 94116041 What is the k'th term of 19445, 19517, 19635, 19799, 20009? 23*k**2 + 3*k + 19419 What is the i'th term of -4372, -5025, -6794, -10237, -15912? -93*i**3 - 2*i - 4277 What is the v'th term of -459010, -917494, -1375978, -1834462, -2292946? -458484*v - 526 What is the n'th term of -35422, -35404, -35386, -35368, -35350? 18*n - 35440 What is the b'th term of 122859, 122772, 122679, 122586, 122499? b**3 - 9*b**2 - 67*b + 122934 What is the n'th term of 1829, 4020, 6213, 8408, 10605, 12804? n**2 + 2188*n - 360 What is the t'th term of -4756, -4885, -5014, -5143, -5272? -129*t - 4627 What is the u'th term of -19693890, -39387779, -59081668? -19693889*u - 1 What is the g'th term of 379, 677, 799, 751, 539, 169? g**3 - 94*g**2 + 573*g - 101 What is the l'th term of 2382, 2198, 1964, 1680? -25*l**2 - 109*l + 2516 What is the p'th term of 77957, 311741, 701353, 1246793, 1948061, 2805157, 3818081? 77914*p**2 + 42*p + 1 What is the d'th term of -123, 320, 1773, 4692, 9533? 76*d**3 + 49*d**2 - 236*d - 12 What is the h'th term of 4397, 4569, 4755, 4955? 7*h**2 + 151*h + 4239 What is the m'th term of 2507961, 2507932, 2507899, 2507862? -2*m**2 - 23*m + 2507986 What is the i'th term of -210287, -210626, -210951, -211256, -211535, -211782? i**3 + i**2 - 349*i - 209940 What is the o'th term of 55409, 55910, 56745, 57914, 59417, 61254? 167*o**2 + 55242 What is the r'th term of 156, 5104, 10052, 15000? 4948*r - 4792 What is the p'th term of -300371, -300335, -300261, -300137, -299951, -299691, -299345? 2*p**3 + 7*p**2 + p - 300381 What is the g'th term of 11745633, 11745582, 11745533, 11745486, 11745441, 11745398, 11745357? g**2 - 54*g + 11745686 What is the t'th term of 374511, 749063, 1123643, 1498257, 1872911, 2247611, 2622363? t**3 + 8*t**2 + 374521*t - 19 What is the b'th term of 39525, 156912, 352557, 626460, 978621, 1409040? 39129*b**2 + 396 What is the z'th term of -4146, -8220, -12432, -16782, -21270? -69*z**2 - 3867*z - 210 What is the u'th term of 197217, 197713, 198209, 198705? 496*u + 196721 What is the b'th term of 6011946, 6011948, 6011950? 2*b + 6011944 What is the g'th term of 4188623, 8377245, 12565867? 4188622*g + 1 What is the b'th term of 111797583, 111797588, 111797597, 111797610, 111797627? 2*b**2 - b + 111797582 What is the h'th term of 551, 1183, 1875, 2633, 3463? h**3 + 24*h**2 + 553*h - 27 What is the f'th term of -31231, -62092, -92953, -123814, -154675? -30861*f - 370 What is the w'th term of 232, -194, -616, -1028, -1424? w**3 - 4*w**2 - 421*w + 656 What is the d'th term of -1250, 421, 2006, 3511, 4942? d**3 - 49*d**2 + 1811*d - 3013 What is the b'th term of -1603, -6593, -14993, -26803, -42023, -60653, -82693? -1705*b**2 + 125*b - 23 What is the
{ "pile_set_name": "DM Mathematics" }
(n) be the third derivative of u(n). Find the second derivative of r(v) wrt v. -40*v**3 Find the third derivative of -3*v**2 - 3*v**2 + 3*v**6 - v**2 + v**6 wrt v. 480*v**3 Let d(l) = 22*l**3 + 11*l**2 + 36*l. Let f(b) = -7*b**3 - 4*b**2 - 12*b. Let p(v) = 4*d(v) + 11*f(v). What is the second derivative of p(j) wrt j? 66*j Find the third derivative of -487*s**6 + 6*s**2 + 240*s**6 + 244*s**6 wrt s. -360*s**3 Let h(b) = 5*b**2 + 2*b. Let o be h(-3). Suppose 3*q - 1 - o = -5*j, q = -4*j + 25. Find the second derivative of -3*x**5 + 0*x + 0*x + j*x - 6*x wrt x. -60*x**3 Find the first derivative of 3 - 4*y**2 - 7*y**2 + 5*y**2 wrt y. -12*y Let k(z) be the first derivative of -18*z**5/5 + z**2/2 - 47*z + 19. Find the first derivative of k(q) wrt q. -72*q**3 + 1 Let z(v) = 20*v**4 - 5. Let c = -54 + 37. Let h(x) = 7*x**4 - 2. Let t(y) = c*h(y) + 6*z(y). What is the first derivative of t(o) wrt o? 4*o**3 Let u = -8 + 10. Let o = 5 + -2. Find the second derivative of 0*r**2 + r**3 + o*r - r**u + r**2 wrt r. 6*r Find the third derivative of 0*a**2 - 8*a**4 - 20*a**2 - 8*a**4 - 7*a**4 wrt a. -552*a Let d(l) be the second derivative of 0*l**3 + l**2 - 4*l + 0 + 0*l**4 + 3/10*l**5. Differentiate d(y) wrt y. 18*y**2 Suppose -3 = -2*x + 1. Find the second derivative of -v**x + v**2 + 2*v**5 + 6*v - 5*v wrt v. 40*v**3 Let h(w) be the first derivative of w**6/6 - 5*w**3/3 - 4. What is the third derivative of h(b) wrt b? 60*b**2 Find the first derivative of -16 + 3 - 154*a**4 + 163*a**4 wrt a. 36*a**3 Let j(m) be the first derivative of -14*m**3/3 - 4*m**2 - 20*m + 6. Let y(d) = -5*d**2 - 3*d - 7. Let l(q) = 3*j(q) - 8*y(q). Differentiate l(b) wrt b. -4*b Let p(r) = -2*r**3 + 6*r. Let w(d) = d - 4. Let o(f) = f - 5. Let m(j) = 4*o(j) - 5*w(j). Let x(g) = -m(g) - p(g). Find the second derivative of x(u) wrt u. 12*u Find the second derivative of 4 + 7*g**4 - 4 + 15*g**4 - 22*g wrt g. 264*g**2 Let r(q) = -q**3 + 7*q**2 + 8*q + 3. Let l be (4 + -1)/3 - -7. Let b be r(l). What is the first derivative of 5*t**2 - b*t**2 + 1 - 3*t**2 wrt t? -2*t Let w(x) = 2*x**2 - 5*x - 40. Let y(a) = -a**2 + 3*a + 39. Let c(f) = 3*w(f) + 4*y(f). What is the first derivative of c(j) wrt j? 4*j - 3 Let n = -6 + 11. What is the second derivative of 3*o + 7*o**5 + 4*o - o**n - o wrt o? 120*o**3 Let p be 39/12 - (-1)/(-4). Suppose p*g + g = 8. Differentiate 1 - w**4 + 2*w**2 - 2*w**g with respect to w. -4*w**3 Let r(i) = i**3 - 6*i**2 - 8*i + 9. Let x be r(7). What is the third derivative of x*b**2 - 12*b + 12*b - b**4 wrt b? -24*b Suppose -3*t = -u - 10, 2 = -t - 4*t - 3*u. What is the third derivative of 0*i**6 - 4*i**2 - i**6 - i**6 - t*i**6 wrt i? -480*i**3 Let q(o) = -1. Let w(h) = -3*h**4 - 11*h + 4. Let y(c) = 4*q(c) + w(c). Find the second derivative of y(l) wrt l. -36*l**2 Let j(h) be the second derivative of h**3/3 - h**2 + 4*h. Let w be j(2). Find the third derivative of 0*f**2 - f**2 + 3*f**6 + 3*f**6 - w*f**6 wrt f. 480*f**3 Let f(c) = 2*c + 1. Suppose y = -y + 5*w - 8, -3*y - 2*w = -7. Let x be f(y). Find the second derivative of v**4 + 0*v**3 + v + 0*v**x wrt v. 12*v**2 Find the second derivative of -73*t**2 - 8*t + 73*t**2 - 8*t**3 wrt t. -48*t Let r be (-2 - (-1)/3)*-3. What is the third derivative of o**2 + o**r + 8 - 8 wrt o? 60*o**2 Find the second derivative of 3*z - 9*z**3 + z + 2*z wrt z. -54*z Suppose 36 = 6*z - 2*z. Differentiate 32 - k**4 - 2*k**4 + z*k**4 - 33 with respect to k. 24*k**3 Let i(j) be the third derivative of -1/3*j**4 + 9*j**2 + 0*j**6 + 0*j + 0 + 0*j**5 - 3/70*j**7 + 0*j**3. Find the second derivative of i(p) wrt p. -108*p**2 Let b(f) = -14*f**2 + 3. Let y(v) = -14*v**2 + v + 2. Let d(a) = 2*b(a) - 3*y(a). Find the second derivative of d(k) wrt k. 28 Let k(d) = -d**3 - d**2 - 1. Let u(v) = 8*v**3 + 2*v**2 + 4. Let m(h) = 4*k(h) + u(h). What is the third derivative of m(s) wrt s? 24 Let w(g) be the first derivative of 3*g**4/4 - g**3 + 43*g**2/2 - 33. What is the second derivative of w(t) wrt t? 18*t - 6 Suppose h = 4*f - 12, 0 = -3*f - 7*h + 3*h + 9. Find the third derivative of -l**3 + l**3 + 7*l**5 - f*l**2 - 8*l**5 wrt l. -60*l**2 Suppose 3*p = -2*l + 25, -5*p + l = -p - 15. Suppose 10 = 2*i - 0*i. Find the second derivative of -4*r - 2*r**5 + 5*r**p - i*r**5 + 7*r wrt r. -40*r**3 Find the second derivative of 3298*v + 1 - 2*v**2 + 57*v**5 - 3303*v + 2*v**2 wrt v. 1140*v**3 Find the third derivative of -34 - 6*w**2 + 3*w**3 + 34 wrt w. 18 Let w(r) = -3*r - 1. Let l be w(-3). Let j = l - 5. What is the third derivative of 4*f**2 - 2*f**3 - 5*f**2 + j*f**2 wrt f? -12 Let r(h) = -3*h**3 - 6*h**2 + 6*h - 2. Let c(n) = n**3 + n**2 - n + 1. Let a(f) = 6*c(f) + r(f). What is the first derivative of a(i) wrt i? 9*i**2 Let t(g) = 5*g + 3. Let i = -6 - -3. Let z(o) = o. Let h(a) = i*z(a) + t(a). Find the first derivative of h(q) wrt q. 2 What is the second derivative of -22*t - t - 24*t**2 + 15*t**2 wrt t? -18 What is the second derivative of 19 - 19 - 2*i + 4*i**2 wrt i? 8 Let f(y) = -y - 2. Let z be f(-2). What is the first derivative of z - 4*s - 2*s - 1 + s wrt s? -5 Let k = -117/2 - -59. Let m(t) be the second derivative of 0*t**4 - 1/15*t**6 + 0*t**5 + 0 - k*t**2 + 0*t**3 + 2*t. Differentiate m(z) wrt z. -8*z**3 Suppose j + 2*c + 6 = 0, -c = -2*c - 4. Find the third derivative of x**3 + j*x**2 + 13*x - 13*x wrt x. 6 Let u(h) be the first derivative of -4*h**6/3 + h**3/3 - 7. What is the third derivative of u(c) wrt c? -480*c**2 Let g(l) = -l**3 - l**2 - l - 1. Let h(w) = 29*w**4 + 6*w**3 + 6*w**2 + 6*w + 14. Let m(t) = 6*g(t) + h(t). Differentiate m(u) wrt u. 116*u**3 Let x = -4 - -8. Suppose 6 = -f + x*f. Differentiate 2*q + 0 - 3 + 4 - f with respect to q. 2 Let f(n) = -29*n - 26. Let t(c) = -550*c - 495. Let a(y) = 77*f(y) - 4*t(y). What is the derivative of a(p) wrt p? -33 Let v(d) = 3*d**2 + 22*d + 7. Let c(m) = -5*m**2 - 21*m - 6. Let p(g) = 5*c(g) + 4*v(g). What is the second derivative of p(s) wrt s? -26 Let h(y) = 3*y**2 - 3 - 3*y**2 + 4*y**2 - 2 - 6*y. Let p(l) = 2*l**2 - 3*l - 3. Let f(k) = 3*h(k) - 5*p(k). Find the second derivative of f(q) wrt q. 4 Let l(q) = -q + 5. Let f be l(0). Find the third derivative of -3*h**f + 4*h**2 + h**2 + 8*h**5 wrt h. 300*h**2 Let w(c) be the first derivative of 0*c**2 - 1 + 3*c - 1/3*c**3. What is the derivative of w(l) wrt l? -2*l Suppose -2*s + 4*g = -17 - 9, 2*s + 14 = -4*g. What is the derivative of 24*q**3 + 2 + s - 26*q**3 wrt q? -6*q**2 Suppose 3*x - 7*x = -12. Find the third derivative of 4*f**3 - 7*f**x - f**2 + 2*f**2 wrt f. -18 What is the first derivative of -1 + 46*d + 0*d + 4 + 4 wrt d? 46 Let v(z) be the third derivative of z**8/420 + z**4/6 - z**3/3 - 3*z**2. Let b(c) be the first derivative of v(c). What is the derivative of b(w) wrt w? 16*w**3 Let n be (2/(-6))/1*(4 - 4). Let c(k) be the first derivative of -3/4*k**4 + 2 + n*k**3 + 0*k + 1/2*k**2. Find the second derivative of c(a) wrt a. -18*a Find the second derivative of -11*c**5 + c**5 + 35*c**5 - c + 18*c wrt c. 500*c**3 Let c(y) be the third derivative of 9*y**8/112 + 4*y**5/15 - 17*y**2. What is the third derivative of c(r) wrt r? 1620*r**2 Let p be (-6)/(-4)*4/6. Let u be -3*p/(-3) + 1. Find the third derivative of 0*t**2 + u*t**6 + 2*t**2 - t**6 wrt t. 120*t**3 Let f = -8 - -13. Suppose -3*t + 10 + f = 0. What is the second derivative of 2*b - 3*b**5 - 2*b**5 + 6*b**t wrt b? 20*b**3 Suppose s = -0*s - 2*v + 14, 4*v = -4*s + 40. What is the third derivative of -3*p**s + 5*p**2 - 3*p**2 - 5*p**2 wrt p? -360*p**3 Let n be 1/4 - 14/(-8). Let r = n - 2. What is the third derivative of -l**3 - l**2 + r*l**3 - l**2 wrt l? -6 What is the second derivative of 29*p - 3*p**3 - 35*p - 4*p**3 wrt p? -42*p Let r be 10/4 + 5/10. What is the third derivative of -106*y + 2*y**2 + 106*y - r*y**3 wrt y? -18 Let h(v) be the first derivative of v**5/5 + v**4/4 + 4*v - 2. Let r(z) be the first derivative of h(z). What is the third derivative of r(m) wrt m? 24 What is the second derivative of 3*q + 92 - 5*q**2 - 92 wrt q? -10 Find the third derivative of -2*x**2 - 4*x**2 - x**5 + 12*x**2 - 4*x**5 wrt x. -300*x**2 Find the first derivative of 2 + 5 + 0 - 3 - 8*j wrt j. -8 Let x(a) be the third derivative of -11*a**9/504 + a**5/6 + 9*a**2. Fin
{ "pile_set_name": "DM Mathematics" }
value? (a) -1.9 (b) k (c) 0.1 b Let u = -51 + 3. Let q = -2103.5 + 2056. Let l = u - q. Which is the smallest value? (a) l (b) 1 (c) 7/2 a Suppose -5*j + 4*i = -10, 3*j + 4*i + i + 31 = 0. Let k be ((-2)/j + 1)*(-6)/(-8). Let n = -21/4 + 5. Which is the biggest value? (a) 2 (b) n (c) k a Let i = -115 - -102.8. Let k = i + -0.8. Let q = -13.3 - k. What is the third smallest value in -1, 0.4, q? 0.4 Suppose -t = -s - 2, -t + 30 = 36. Let h = -0.34 - 0.06. What is the third smallest value in 5, s, h, 0.3? 0.3 Let u = -59912.905 - -60107. Let s = u + -190. Let l = s - 0.095. What is the biggest value in 5, l, 0.3? 5 Let x = -619/1246 + -2/623. What is the third biggest value in 7/2, x, 4, -0.3, 3/4? 3/4 Suppose 58*o - 30*o + 112 = 0. What is the biggest value in 1, o, 0.59, 0.4, -1? 1 Let z be (2/(-12))/((-280)/168) - 6/20. What is the third smallest value in z, -0.3, -1, 2/355, 0? z Let r = 119/16 - 3253/432. What is the third smallest value in -8, r, -4? r Let i(v) = 166*v + 1177. Let m be i(-7). What is the biggest value in m, 3, 0.08? m Let k = -2.033 - -2.443. What is the biggest value in -2/7, -0.02, k? k Let m = -49.32 + -465.48. Let i = m + 515. Let f = 63/2 + -31. What is the second biggest value in i, 0.05, f? i Let v = 695.9 - 696.3. What is the biggest value in -9, v, 323? 323 Let l(f) = -9 - 54*f + 24*f + 25*f. Let r be l(-1). Let j = 0.95 - 1. What is the biggest value in -2, j, r? j Suppose -h = -t - 1, 3*h = 7*t - 8*t - 13. Which is the third smallest value? (a) -2/571 (b) 1 (c) h b Let i be (2/5)/(1/5). Let k(f) = 155*f + 1240. Let d be k(-8). Suppose -5*w = -j + 3, i*j + 5 = -d*j - w. What is the third biggest value in j, 1, -4/3? j Let l = 15.68 + -16. Let y = -160 - -160.12. Let q = y + l. What is the second biggest value in 0, q, -3/2? q Let w = 1.1 - 1. Let l = -665 + 552.9. Let z = l - -112. Which is the second biggest value? (a) -4 (b) w (c) z c Suppose -3*k + 10 = -2*k + 2*g, 4*g - 24 = -3*k. Suppose k*c - 6*c + 2 = 0. Let r be (c/12)/((-8)/24). What is the second smallest value in r, -0.3, -0.1, -2/7? -2/7 Let k = -97/5 + 18. What is the third biggest value in -63, k, 0.1, -5? -5 Let l = -0.1999 + -0.3501. Which is the fourth smallest value? (a) 1 (b) l (c) -3 (d) -2/3 a Suppose 55 - 51 = -5*p - 1. Which is the fourth smallest value? (a) p (b) -4 (c) 0 (d) -42 c Let p = -11.98937 - 0.01063. What is the smallest value in 3/4, 4, -1/5, p? p Let l be 60/80 + 65/4. Suppose -14*c + l*c + 5*v = 15, 3*c - 15 = v. What is the second smallest value in -4, c, -169? -4 Let d = -28.001 - -27.501. What is the smallest value in 0.03, -362, d? -362 Let l be (-20)/(-25)*(-12)/(-16) + -2 + 0. Which is the third biggest value? (a) -94 (b) 0.4 (c) l a Let v = -311 + 310.9987. Let k = -5.0013 - v. Which is the fourth smallest value? (a) 2/5 (b) 2 (c) -0.16 (d) k b Let p = -19797.9 + 19803. Which is the second smallest value? (a) -0.11 (b) 1 (c) p b Let w = -40 + 42. Let g be 11 + -13 - (-18)/7. Let y = 70.7 - 71. What is the fourth smallest value in 0.4, g, w, y? w Let o = -0.065 + 62.065. Let h = -547 + 485.1. Let g = h + o. What is the biggest value in 2/3, -2/3, 5, g? 5 Let n be (-11 - (-6)/36*70)*(-2)/(-4). What is the smallest value in -5, 1/2, n, -76.1? -76.1 Let w = 130 + -105. Let v = 0 - -5. What is the third biggest value in w, v, 0.2? 0.2 Let j = 43/280 + -1/35. Let s = -123 + 125. What is the fourth biggest value in -0.1, j, s, -33? -33 Let r = 0.0561 + 4.9439. Let q = 282 + -14944/53. What is the third smallest value in q, r, 0.06? r Let f = -26/3 + 9. Suppose -3*k + t + 18 - 6 = 0, 9 = 4*k + t. Which is the fourth smallest value? (a) -3/4 (b) 2/5 (c) f (d) k d Suppose -2275*l - 5744 = -2259*l. Which is the second biggest value? (a) l (b) 12 (c) 0.4 c Let m = -0.3 + 0.1. Let d be (2 - (-55)/10) + (-7 - 1). Let u = 1401/10 + -140. Which is the biggest value? (a) d (b) u (c) m b Let p = -0.096 + -0.204. Suppose 0 = -5*l - 4*r + 3, -2*r = -2*l - 25 + 19. What is the third biggest value in p, l, -2, 52? l Let n = 20.42 + -20.22. Let t = -0.279 + -0.121. Which is the third biggest value? (a) 2/117 (b) n (c) t c Let n be ((-2)/(-5))/(4921/(-1295)). What is the third smallest value in -2/9, n, 2, -459? n Let y = -0.446 - -0.846. Let b = -25 + 25.33. Let p = 0.13 - b. What is the smallest value in 2/13, y, p? p Let k = -8 + 7.7. Let b = -451.986898 - -0.046898. Let q = b - -452. What is the third biggest value in q, -1/4, k? k Let v = 3/688 - 4197/15824. Let h be (-30)/4 + ((-444)/(-370) - (-38)/10). Which is the smallest value? (a) h (b) -0.1 (c) v a Let t = 18.978 + -18.978. Let c be (-4)/6*6/(-10). What is the second smallest value in c, 2, 5, t? c Let q = -32631 + 32629. Let x = -20 + 34. Let y = 6.4 - 6. What is the third smallest value in q, x, y? x Let u(k) = k**3 - 14*k**2 + 14*k - 18. Let j be u(13). Which is the second biggest value? (a) j (b) 2/77 (c) 1/10 (d) 2 c Let f = 236.5 + 20.5. Let w = 371 - f. Which is the third biggest value? (a) 5/2 (b) -4 (c) w b Let z = 0.7 + -0.2. Let v = z - 0.1. Let w = -139295 - -139294.5. Which is the fourth smallest value? (a) 1/5 (b) -0.7 (c) v (d) w c Let d = -0.12 + -4.88. Let h = 0.2658 + -10.9758. Let q = -9.71 - h. What is the second biggest value in q, -2, 0, d? 0 Let u = -10281 - -10230. What is the second biggest value in u, 6/7, -4/3? -4/3 Let k = -15579 + 46736/3. Which is the third biggest value? (a) k (b) -5 (c) 7 (d) 0.17 a Let c = 164 + -176. Let v be c/(-189) - (33/(-7) - -5). What is the third biggest value in v, 2, -1? -1 Let w = -76 - -62. Let m = -13 - w. Which is the smallest value? (a) m (b) 0.3 (c) 0.5 (d) 4 b Let d = -655.03 + 655. What is the third biggest value in d, -0.2, 36? -0.2 Let f be (-1)/2*(-22)/(-33). Let q = 73 + -74. Let h be (q/14)/((-7)/(-56)). Which is the smallest value? (a) h (b) f (c) -2/7 a Let s = -33.4 - -28.4. Let v = 0.12 + 4.88. Which is the second biggest value? (a) v (b) s (c) 1.8 c Let l = -58.19 - 0.81. Let i = -69 + 15. Let j = i - l. Which is the second biggest value? (a) j (b) 0.2 (c) 2/17 b Let d = -2 + -2. Let w = 53/7 - 41/7. Let m = 39.7 + -39.9. What is the second biggest value in 0.4, w, m, d? 0.4 Let j be (1/(2 - 1))/3. Suppose -39*u + 33*u = -120. Let y be (-254)/20 + 4/u. Which is the smallest value? (a) -1 (b) j (c) 5 (d) y d Let s = 4862/5 - 983. What is the third smallest value in s, 0.3, -0.5? 0.3 Let y(k) = -21*k - 422. Let t be y(-20). What is the third biggest value in -4/3, -7/3, t, -2/19? t Let a = 80924 - 80924. Let r be 4/8 + 2/(-3). What is the third biggest value in a, -2/3, r? -2/3 Let f = -0.135 + 0.235. Which is the third biggest value? (a) 1 (b) 1/2 (c) f (d) -0.2 c Let t = 891.8289 - -0.1711. Let s = -893 + t. Which is the biggest value? (a) 2 (b) 3 (c) 1 (d) s b Let q(j) = -5*j**3 + 51*j**2 - 130*j + 5. Let r be q(5). Let i = -0.03 - 4.97. What is the smallest value in r, -4, 0.2, i? i Let l = 1.2054 + -0.2054. Which is the fourth smallest value? (a) 0 (b) 1/390 (c) -5 (d) l d Suppose 6*z - 7*z = -3. Let p be (-16)/((-16)/4)*z. Let s be (p/16)/((-1)/(-24)). Which is the second smallest value? (a) 3 (b) -0.4 (c) s a Let p(n) = n**3 - 21*n**2 - 6*n + 1. Let h be p(21). Let v = h + 1999/16. Which is the smallest value? (a) -0.1 (b) 5 (c) v a Let d = -0.3269 + 0.8269. Which is the second smallest value? (a) d (b) -3 (c) -2 c Let m = -0.01906 - -0.31906. Which is the third smallest value? (a) 2/11 (b) m (c) 1/8 (d) 97 b Let o = -93.405 + 93. Let u = o - -0.45. Let n = 0.055 + u. Which is the second biggest value? (a) -0.3 (b) n (c) 3 b Let y = -5660 + 5659.8. Which is the third biggest value? (a) -357 (b) y (c) -0.5 a Let i = 5 - 2. Suppose 0 = -7*t + 9 + 22 + 18. Suppose -i*r + 14 = -t. What is the smallest value in 0, r, -1/6? -1/6 Let t(x) = -33*x - 1057. Let o be t(-32). What is the fourth smallest value in -0.02, o, 3, 0.5? 3 Let d = 1006/19 + -53. Let i = 726/7 + -104. Which is the second biggest value? (a) d (b) i (c) 5 a Let o be (-18)/72 - 102/(-24). Which is the smallest value? (a) o (b) 0.07 (c) 22 b Let x = -36 - -31. Suppose -18 = d + 32. Let h = 67 - 64. Which is the smallest v
{ "pile_set_name": "DM Mathematics" }
c be (6/(-5))/(16/40). Let y be n(c). Suppose -z - 7 - 507 = -5*m, -4*m - y*z = -396. Is m a multiple of 34? True Suppose 2*d - 7 - 13 = 0. Suppose d - 150 = -4*w. Is w a multiple of 11? False Let b(c) = c**2 + 5*c + 13. Let f be b(-3). Suppose l = 3*h - 73, 3*l + f + 5 = 0. Is h a multiple of 12? False Suppose 176 = -2*r - 40. Let l = -597 + 570. Is 29 a factor of (l/(-18))/((-2)/r)? False Suppose -5*s + 58 = 8. Let p = 21 + s. Is p a multiple of 3? False Let j = -151 - -154. Suppose s = -5*m + m + 110, -j*m - 198 = -2*s. Is s a multiple of 17? True Let o = 3028 + -972. Is 8 a factor of o? True Let o = 117 - 249. Let t = o - -277. Is t a multiple of 23? False Suppose -y - 4 = 0, 0*y + 4 = -f - 2*y. Let w be 2/(f/(-73))*-2. Suppose w + 1 = 2*g. Does 10 divide g? False Let i(c) = -15 + 6*c - 3*c + 3*c. Is i(10) a multiple of 9? True Let z(g) = g - 6. Let l be z(-18). Let m be (112/l)/(2/12). Let w = 12 - m. Is w a multiple of 8? True Let a(l) be the second derivative of -5*l**5/24 + l**3/3 - 5*l. Let s(q) be the second derivative of a(q). Does 26 divide s(-3)? False Suppose -2*z - 4*v + 40 = 0, -3*z - 124 = -7*z + 3*v. Let l = -19 + z. Is l a multiple of 2? False Does 50 divide 457 - (3/(-2))/(12/16)? False Let c(w) = w**2 - 8*w + 7. Let b be c(8). Let z = b + -5. Suppose 0 = -z*s + 3*s - 5. Is s a multiple of 5? True Does 58 divide (-346 - 2)/((-66)/176)? True Let o(k) = -13*k**3 + 23*k**2 + 15*k + 52. Let r(s) = 3*s**3 - 6*s**2 - 4*s - 13. Let m(x) = -2*o(x) - 9*r(x). Is m(7) a multiple of 6? False Let n(o) = -o**3 + 21*o**2 - 3*o + 19. Is 10 a factor of n(9)? False Suppose 31 = -4*p + 83. Let m = 18 - p. Suppose -4*t = -m*x + 100, 4*x = t - 0*t + 80. Is 8 a factor of x? False Suppose -4*g - g = 0. Suppose 0*d - 4*d + 244 = g. Suppose 3*f + 1 = -x, 20 - d = -3*x + 2*f. Is 3 a factor of x? False Suppose -5*w = -10*w + 475. Suppose 5*o = 10*o + w. Let a = 3 - o. Is 17 a factor of a? False Suppose 3*a + 2*g = 4, -2 = -2*a - 2*a - g. Suppose a = -2*d - 3*d + 30. Let n(w) = 6*w + 9. Is n(d) a multiple of 15? True Suppose 39*b - 34 = 41*b. Let u = 49 - b. Is 11 a factor of u? True Is (-5)/20 - (2499/(-28) + -3) a multiple of 12? False Suppose 0 = 4*x + 25 - 9. Let g(i) = 4*i**2 + 4*i + 6. Let f(o) = -5*o**2 - 5*o - 7. Let s(p) = 3*f(p) + 4*g(p). Does 11 divide s(x)? False Is 2 a factor of 6 - 5/10*-114? False Let r(x) = 5*x + 0*x - x. Let f = -18 + 21. Is r(f) a multiple of 6? True Let z(c) = c**3 - 15*c**2 + 18*c - 9. Let l = 34 + -20. Is 30 a factor of z(l)? False Let n(p) = 4*p**2 - 26*p + 12. Is n(8) a multiple of 30? True Let d(y) = -2*y**3 - 7*y**2 - 2*y + 1. Let r be d(-5). Suppose q = r + 61. Suppose 5*j = -27 + q. Does 8 divide j? True Let v(u) = u**3 - 11*u**2 + 7*u + 52. Does 20 divide v(12)? True Suppose 3*j - 5*j = 5*d - 1394, 3*d - 855 = 5*j. Is d even? True Let f(z) = -4*z**3 - 2*z**2 - 2*z - 2. Suppose 0 = 5*s - 4*a - 24, s - 2*a = -a + 5. Suppose -2*r = 5*k - 11, 0*r = s*r - 5*k + 23. Does 13 divide f(r)? True Suppose -w = -231 - 151. Is w a multiple of 46? False Suppose 32 = 3*n + 8. Is -50*((-20)/n + 2) a multiple of 25? True Let v(o) = 3*o + 111. Let j be v(0). Suppose -r + i - 39 = 0, 2*r - 3*r - 5*i = 69. Let g = j + r. Does 20 divide g? False Let u(d) = 4*d + 18. Let c(l) = 3*l + 12. Let k(i) = 7*c(i) - 5*u(i). Let b be k(9). Suppose -b*g - 11 = -4*g. Is g a multiple of 9? False Let i = -366 + 528. Does 18 divide i? True Suppose 0 = -2*m + 5*l + 231, 4*l - 204 = -6*m + 4*m. Let c(t) = -t + 1. Let o be c(-4). Suppose 2*b - o*n = m, 5*b + 0*b - 270 = 3*n. Does 16 divide b? False Let j = -97 + 447. Does 7 divide j? True Let x = 23 + -19. Let b be x/10 - 88/(-55). Does 38 divide 77/b + (-9)/18? True Let k be ((-63)/(-12) - 4)*4. Let j be k/((-60)/(-8))*6. Suppose -s = -j*y - 0*s + 240, -3*y - 4*s + 180 = 0. Is y a multiple of 16? False Let y(d) = 5*d**3 + 9*d**2 + 14*d + 1. Let r be y(-3). Let f be 2*2/(-4)*35. Let h = f - r. Does 15 divide h? True Suppose 528 = -4*r + 6*r - 4*o, 6 = -2*o. Is r a multiple of 26? False Let x(m) = 4*m - 8. Does 5 divide x(7)? True Suppose 2*x - 2684 = -2*f, -5*f + x + 5289 + 1415 = 0. Is f a multiple of 30? False Let t(s) = s**3 - 33*s**2 + 4*s + 58. Does 4 divide t(33)? False Let b(x) = x**3 + 4*x**2 + 3*x + 3. Suppose -3*s + 0*s - 6 = -2*p, -5*s = -p + 17. Let q be b(p). Does 5 divide (-97)/(-6) + q/(-18)? False Let y = 699 + -318. Is 17 a factor of y? False Let q = 52 + -34. Is 5 a factor of ((-126)/q)/(1/(-5))? True Suppose 248 = 4*t + 6*z - z, -3*t + 3*z = -159. Let j = t + 56. Does 11 divide j? False Let k be 10/(-3 - -1*(-188)/(-60)). Does 2 divide ((-240)/k)/(1/(-5))? True Let k(y) = y**3 - 9*y**2 + 11*y - 3. Let p be k(8). Let f = p + 24. Does 15 divide f? True Let d be (3 + 21/2)*-2. Let r = d - -28. Is 4 - (3 - 15)/r a multiple of 7? False Let p = 1353 - 660. Is p a multiple of 21? True Let k(a) = 2*a**2 + 11*a - 11. Let g(z) = -z**3 + 2*z**2 - 2. Let f be g(3). Is 11 a factor of k(f)? True Suppose -3*b + 50 = -u - 69, 113 = 3*b + 2*u. Suppose 2*h - b = -h. Is 13 a factor of h? True Suppose 415 = 5*q - 1435. Suppose 1630 = 4*h + q. Suppose -4*f = -9*f + h. Is f a multiple of 25? False Let d(o) = o**2 + o. Let b be d(0). Suppose -2*p + b*p = -6. Suppose -p*q + 0*q = -90. Is q a multiple of 15? True Let y(g) = g**2 - 8*g + 7. Let d be y(8). Suppose t - d = -1. Suppose 69 = 7*m - t*m. Is m a multiple of 23? True Suppose 0*s = -2*s + 8. Suppose -3*f = -5*v - 23, -s*v - 1 = 5*f + 10. Does 24 divide (-143)/v + (-15)/20? False Let j = 28 - 14. Does 12 divide 1552/18 - 2 - j/63? True Suppose 4292 = 4*q + 5*u, -3*q + 4*u + 9 = -3179. Is q a multiple of 9? False Let z = -106 + -68. Let f be z/21 - 4/(-14). Let l = 13 + f. Does 5 divide l? True Is 12 a factor of ((-291)/2)/(-2 - 5/(-4))? False Suppose -21 = -6*a + 39. Is -1 + a + 4/4 a multiple of 5? True Suppose 11*b = 3*b. Suppose -2*p + f + 19 = -b*p, -4*p = -4*f - 28. Is p a multiple of 12? True Let d(b) = 2*b**2 - 41*b - 7. Is 14 a factor of d(31)? True Let s(o) = 4*o + 10. Let i be s(5). Suppose 24*z = 27*z - i. Is 2 a factor of z? True Let c(o) = o**2 - 43*o + 84. Is 21 a factor of c(49)? True Let t = 16 - 72. Is 14 a factor of t*(-4 - -3)/1? True Let g(s) = -4*s**3 - 5*s**2 - 4*s. Let z be g(-3). Let p be (-5 - 0)*(-10146)/445. Let i = p - z. Is i a multiple of 11? False Is ((-9)/(-4))/3 - 65/(-4) a multiple of 13? False Let q(a) = a**3 - 7*a**2 + 8*a + 10. Let g = -30 - -36. Does 11 divide q(g)? True Suppose 0 = 101*u - 108*u + 1281. Does 23 divide u? False Let r(b) = 44*b - 31. Is r(2) a multiple of 19? True Suppose 0 = -o + n + 1215, -4701 + 1056 = -3*o + 4*n. Does 74 divide o? False Suppose -16*i + 10052 + 2252 = 0. Is i a multiple of 42? False Let f(c) = 8*c**3 + c**2 + 22*c - 51. Is f(6) a multiple of 16? False Suppose -4*s + 145 = -5*t, -t + 0*s = -3*s + 18. Is 1 - (-2 + t + 2) a multiple of 10? False Is (-2)/5 - (-60)/225*2694 a multiple of 26? False Let k(z) = z**3 - 4*z**2 + z. Let q be k(4). Suppose -q*t + 22 = 2*o, -3*o - 6*t + 25 = -2*t. Suppose o*r = -2*c + 21, -r - 2*r + 2*c = -33. Is 3 a factor of r? True Let t be 30*3*(-4)/18. Let k = t + 47. Does 9 divide k? True Let r(h) = 5*h + 32. Let u(i) = -i + 1. Let j(t) = -r(t) + 5*u(t). Is 16 a factor of j(-9)? False Let s(k) = -10*k - 40. Let g be s(-4). Suppose -5*w = 5*y - 40, -1 = -4*w + 2*y + 1. Suppose -4*o + 72 = 3*f - 35, g = w*f - o - 127. Does 17 divide f? False Let u be (-13 - -4)/((-9)/78). Suppose 0 = -4*m + 2*r + u, -88 = 5*m + 3*r - 213. Suppose -98 = -5*c + m. Is c a multiple of 18? False Let n = 114 - 108. Suppose 729 + 315 = n*h. Is h a multiple of 6? True Suppose i - 15 = 4*m, -5*m - 2 = i + 10. Suppose 18 = 5*f + i. Is 3 a factor of f? True Suppose -4*s - 286 = 2*x - 1032, -2*x - s + 746 = 0. Let f = x + -162. Is f a multiple of 23? False Let z = 291 - -19. Is z a multiple of 10? True Suppose 0 = 3*j + u - 4536, -j - 1012 = -5*u - 2508. Is j a multiple of 11? False Let s(u) = -430*u**3 - u + 1. Suppose 5*b = -5*m + 3*m + 7, -b - 3 = -4*m. Let o be s(b). Is o/(-35) - (-4)/(-14) a multiple of 4? True Suppose -6 = -2*b + 10. Suppose 2*f = 5*s - 6*s + b, 0 = -f - 3*s + 14. Is f even? True Suppose a = 5 + 1. Let x be (-14)/4 + 3/a. Let k(t) = t**2 - 2*t - 3. Do
{ "pile_set_name": "DM Mathematics" }
Let u(d) = -d - 1. Determine -5*s(c) + 10*u(c). 5*c**2 Let p(i) = -47*i - 161. Let d(a) = -9*a - 32. Give 11*d(v) - 2*p(v). -5*v - 30 Suppose -3*f + 6*f = g - 29, 5*g - f - 173 = 0. Let z = g - 18. Suppose -26 = -3*y - 8. Let v(d) = 5*d. Let r(c) = -14*c. Calculate y*r(h) + z*v(h). h Let o(z) = 2*z**2 + 8*z + 5. Let c(j) be the second derivative of -3*j**2 - 1/6*j**4 + 0 + 11*j - 3/2*j**3. What is 5*c(b) + 6*o(b)? 2*b**2 + 3*b Let p(l) = -11*l**2 - 8*l**3 + 2*l + 4*l + l. Let b(n) = 4*n**3 + 6*n**2 - 4*n. Let a be 1 - (-26)/(-30) - (-744)/(-180). Determine a*p(t) - 7*b(t). 4*t**3 + 2*t**2 Let u(b) = 9*b**2 - 4. Let q(p) = p**2 + p. Let w(z) = -24*z**2 - 2*z + 10. Let o(n) = -2*q(n) - w(n). Determine -5*o(a) + 12*u(a). -2*a**2 + 2 Let t(j) = 54*j - 7. Let r(n) = -55*n + 6. Calculate -3*r(v) - 2*t(v). 57*v - 4 Let j(k) = 10*k + 39. Let s be j(-4). Let z(i) = -i**3 - 1. Let v(c) = 12*c**3 + 2. What is s*v(a) - 2*z(a)? -10*a**3 Suppose -14*l + 120 = 190. Let q(w) = -3*w**3 + 2*w**2 - 13. Let c(y) = -4*y**3 + 3*y**2 - 19. Determine l*c(u) + 7*q(u). -u**3 - u**2 + 4 Let l(p) = 29. Let s(j) = -92. Let v(b) = -16*l(b) - 5*s(b). Let a(h) = h - 7. What is 4*a(f) - 7*v(f)? 4*f Suppose c - 3 + 7 = 0. Let s be -6*2/(8/c*-3). Let m(n) = n - 3. Let o(z) = z - 7. Determine s*o(u) + 5*m(u). 3*u - 1 Let q(w) = 5*w**3 + 9*w + 3. Let p(n) = -3*n**3 - 5*n - 2. Calculate -7*p(c) - 4*q(c). c**3 - c + 2 Let h(j) = -j**2 + j - 1. Let a(v) = -36 + 3*v**2 - 15*v + 5*v**2 - 44 + 95 + 7*v**2 - 3*v**3. Determine a(m) + 15*h(m). -3*m**3 Let r(f) = 3*f**2 - 8*f - 6. Let k(n) = 2*n**3 - 32*n**2 - 2*n + 26. Let a be k(16). Let l(v) = 4*v**2 - 7*v - 5. Give a*l(s) + 5*r(s). -9*s**2 + 2*s Let s(z) = 4*z**2 - 3*z + 9. Let q = 709 - 714. Let b(f) = -2*f**2 + f - 4. What is q*b(r) - 2*s(r)? 2*r**2 + r + 2 Let m(l) = l**2 - l + 3. Let y(u) = -u**2 + 1. Give -m(h) + 4*y(h). -5*h**2 + h + 1 Let r = 107 - 131. Let u(z) = 8*z**2 - 5*z - 5. Let a(v) = 39*v**2 - 24*v - 24. What is r*u(f) + 5*a(f)? 3*f**2 Let d(y) = -y**2 + 1. Let x = 278 - 163. Let u(i) = -x + 51 + 46 + 21*i**2. Let o(h) = h**2 - 2*h - 2. Let t be o(3). Calculate t*u(n) + 18*d(n). 3*n**2 Let h(m) = -12*m**2 + 5. Let x(q) = -62*q**2 - q + 25. Determine 11*h(k) - 2*x(k). -8*k**2 + 2*k + 5 Let w(d) = 3*d + 8. Let h(i) = -6*i - 17. Let p(f) = 3*h(f) + 5*w(f). Let a(z) = z + 4. Let m = 1 - -2. Determine m*p(q) + 8*a(q). -q - 1 Let d(i) = 16*i - 38. Let c(t) = 6. Let k(y) = -2*c(y) + d(y). Let n(s) = -3*s + 10. Calculate 2*k(r) + 11*n(r). -r + 10 Let r(s) = 31*s**2 - s - 6. Let j(y) = -35*y**2 + 2*y + 7. Determine -5*j(c) - 6*r(c). -11*c**2 - 4*c + 1 Let q(m) = -m**2 + m - 1. Suppose 6 = -z - 0*z. Let t(i) = -9*i**2 + 6*i - 6. Suppose -4*j - v + 4 = 0, -v - 4 = -5*j + 1. Determine j*t(w) + z*q(w). -3*w**2 Suppose -3*d + 3*a = 0, -3*d - 3*a + 7*a - 2 = 0. Let z(p) = -p**3 + 2*p**2 + 6*p + 1. Let s(j) = j**3 - j**2 - j - 1. What is d*s(m) + z(m)? m**3 + 4*m - 1 Let m(z) = -9*z - 11. Let b = 19 + -25. Let i = b + 13. Let r(s) be the third derivative of 5*s**4/24 + s**3 - 4*s**2. Determine i*r(f) + 4*m(f). -f - 2 Let c(i) = 16*i**2 - 6*i - 4. Let o(z) = 21*z**2 - 5*z - 5. What is 4*c(h) - 3*o(h)? h**2 - 9*h - 1 Let l(f) be the second derivative of 39*f - 7/6*f**3 + 0 - 1/6*f**4 + f**2. Let y(o) = o**2 + 3*o - 1. Determine -6*l(u) - 14*y(u). -2*u**2 + 2 Let n(m) = -4*m + 16. Suppose 0 = r - 2*b - 2*b - 39, 4*r + b - 173 = 0. Let h(s) = -s - r + 87 - 39. What is 16*h(o) - 5*n(o)? 4*o Let a(i) be the second derivative of 5*i**4/12 + i**3 + i**2 - 2*i + 3. Let x(m) = 6*m**2 + 7*m + 3. Give 4*a(f) - 3*x(f). 2*f**2 + 3*f - 1 Let n(g) = -11*g + 27. Let p(w) = -14*w + 28. Determine -6*n(m) + 5*p(m). -4*m - 22 Let y(b) = 25*b + 24*b + b**3 - 52*b. Let c(t) = 10*t**3 - 7*t**3 - 3*t - 4*t. Suppose -3*q + 0 = -15. Give q*y(v) - 2*c(v). -v**3 - v Let y(s) = -6*s**2 - 3*s + 4. Let a(t) = -3*t**3 - 14*t**2 - 7*t + 9. Let q(w) = 3*a(w) - 7*y(w). Let b(m) = 19*m**3 + 2. What is 4*b(v) + 7*q(v)? 13*v**3 + 1 Let s(h) be the second derivative of h**4/3 + 13*h. Suppose 5 = -4*l + 13. Let r(y) be the second derivative of -y**4/12 + 6*y. What is l*s(t) + 6*r(t)? 2*t**2 Let s(v) = -v**3 + 30*v**2 - 10*v - 4. Let g(o) = -o**2 - 2*o - 1. Determine -5*g(l) + s(l). -l**3 + 35*l**2 + 1 Let b(f) = 3. Let l(u) = -4*u + 77. Determine 4*b(o) + l(o). -4*o + 89 Let c(w) = -8*w**2 - 2*w - 3. Let r(x) = -9*x**2 - 3*x - 6. Let y(j) = 7*c(j) - 6*r(j). Let b = 7 - 13. Let g(i) = i**2 - 2*i - 7. What is b*y(u) - 13*g(u)? -u**2 + 2*u + 1 Let s(i) = -14*i + 321. Let j(z) = 25*z - 642. Calculate -4*j(r) - 7*s(r). -2*r + 321 Let w(p) = -3*p + 11. Let g be 3*(20/12 - 6). Let l(k) = -k + 5. Calculate g*l(c) + 6*w(c). -5*c + 1 Let m(v) be the second derivative of -1/4*v**4 + 0 + 0*v**3 + 0*v**2 + 11*v. Suppose 4*z = -7 + 3. Let r(j) = -j**2 + 1. Determine z*m(k) + r(k). 2*k**2 + 1 Let t(s) = 3*s - 11. Suppose -75*o = -46*o + 58. Let v(b) = -2*b + 5. Calculate o*t(c) - 5*v(c). 4*c - 3 Let d(z) = -2*z**3 - 34. Let v(n) be the first derivative of -n - 323. Calculate -6*d(p) + 204*v(p). 12*p**3 Let z(b) = -9*b - 1. Let p be (-1 - -5) + (-6 - -8). Let n(j) be the third derivative of -17*j**4/24 - j**3/3 - 4*j**2. Determine p*n(m) - 11*z(m). -3*m - 1 Let j(z) = 2*z + 2. Let o(u) = -28*u**3 + 27*u**3 - u + 4 - 5. Calculate -j(n) - 2*o(n). 2*n**3 Let a(r) = -15*r**2 + 3*r. Let t(m) = -7*m**2 + m. Let v = 1036 - 1031. What is v*t(f) - 2*a(f)? -5*f**2 - f Let q(b) = 4*b**3 + b**2 - b - 1. Let x(t) = -3*t**3 - 4*t**2 - t + 1. Let c(w) = q(w) + x(w). Let a(r) = -r**2. Give -4*a(i) + c(i). i**3 + i**2 - 2*i Let i(p) = p**2 + 1. Let l(q) = -7. Let d(t) = -5. Let a(f) = 3*d(f) - 2*l(f). What is -a(y) - i(y)? -y**2 Let d(h) be the first derivative of -h**5/120 - h**4/24 - 11*h**3/3 + 12. Let g(c) be the third derivative of d(c). Let b(w) = -w - 2. Calculate -b(o) + 2*g(o). -o Let w(v) = v**3 + v**2. Let u be (17 - 13) + 1*(-4 + 1). Let f(x) = 6*x**3 + 8*x**2 + 4*x. Determine u*f(z) - 8*w(z). -2*z**3 + 4*z Let c(d) = 2*d**2 - d + 2. Let p(q) = -19*q**2 + q + 21. Let h(t) = -9*t**2 + t + 8. Let u(x) = -7*h(x) + 3*p(x). Calculate 7*c(m) - 2*u(m). 2*m**2 + m Let o(r) = -r**2 + 2*r. Let n(g) = 16*g**3 + 2*g**2 - 4*g + 5. Calculate n(m) + 2*o(m). 16*m**3 + 5 Let j(a) = -1197*a**2 + a. Let d(o) = 598*o**2. Calculate -5*d(i) - 2*j(i). -596*i**2 - 2*i Let g(w) = 2 - 7*w - 1 - 1 - 1 + 6*w. Let m(a) = 5*a + 8. Calculate -4*g(x) - m(x). -x - 4 Let x(m) = -40*m + 11. Let j(p) = -196*p + 58. Determine -3*j(z) + 16*x(z). -52*z + 2 Let p(b) = 5*b - 2. Let k be 10/(-8)*(-46 + 50). Let l(q) = 5*q - 3. What is k*l(h) + 6*p(h)? 5*h + 3 Suppose 0 = -5*g + 19 + 1. Let u(a) = 9*a**2 + 4*a + 4. Let i(t) = -t + 4. Let h be i(-5). Let b(y) = -19*y**2 - 9*y - 9. Determine g*b(z) + h*u(z). 5*z**2 Let h = -15 + 18. Suppose h*u + 5*g = -1, -5*u + 3*g + 13 = 4*g. Suppose -u = -a - 1. Let k(v) = -1. Let c(p) = p + 6. What is a*c(l) + 10*k(l)? 2*l + 2 Let j(n) = 2*n**2 - 2*n + 1. Let f(t) = -7*t**2 + 12*t - 67. Determine f(k) + 4*j(k). k**2 + 4*k - 63 Let n = -49 - -57. Let d = -2 - -4. Let k(o) = 5 - d*o - 1 + 0. Let j(g) = 6*g - 11. Calculate n*k(v) + 3*j(v). 2*v - 1 Let t(p) be the second derivative of 29*p**5/20 - 2*p**4/3 + 4*p**3/3 - 4*p**2 - 77*p. Let l(v) = -19*v**3 + 5*v**2 - 5*v + 5. What is -8*l(g) - 5*t(g)? 7*g**3 Let a(p) = -3*p**2 - 2*p - 2. Let g be (-5)/10*2*23. Let l = g - -29. Let q(v) = -19*v**2 - 13*v - 13. Suppose 48 = -2*m - 30. Give l*q(u) + m*a(u). 3*u**2 Let c(w) = 4*w**2 + w + 172. Let f(q) = 3*q**2 + q + 175. Determine -2*c(v) + 3*f(v). v**2 + v + 181 Let m(s) = 3*s**3 - 2*s**2 - 6*s - 5. Let y = 234 + -239. Let f(o) = -3*o**3 + 2*o**2 + 5*o + 4. Determine y*f(z) - 4*m(z). 3*z**3 - 2*z**2 - z Let u(z) = -4*z**3 - 3. Let l(c) = 9*c**3 + 7. Suppose 0 = -4*w + 7*w - 15. Suppose -4*f + 0*a + 3*a - 17 = 0, -w*f = 5*a - 5. Give f*l(d) - 5*u(d). 2*d**3 + 1 Let d(j) = -6*j**2 - 13*j + 7. Let c(h) = 2*h**2 + 5*h - 3. Let y(a) = 10*c(a) + 4*d(a). Let g(x) = -7*x**2 + 4*x - 4*x - 3 - 3*x. What is 6*g(p) - 10*y(p)? -2*p**2 + 2*p + 2 Let l(g) = 8*g - 14. Let o(u) = -1. Calculate -2*l(b) - 6*o(b). -16*b + 34 Let u(g) = -11*g - 26. Let c(f) = -317*f - 17 - 318*f - 317*f + 945*f. Give -8*c(j) + 5*u(j). j + 6 L
{ "pile_set_name": "DM Mathematics" }
hat is the w'th term of 148, 169, 200, 241, 292, 353, 424? 5*w**2 + 6*w + 137 What is the b'th term of 4525, 9051, 13577, 18103? 4526*b - 1 What is the p'th term of -252, -989, -2216, -3933, -6140, -8837, -12024? -245*p**2 - 2*p - 5 What is the y'th term of 1, 2, -11, -44, -103, -194, -323, -496? -y**3 - y**2 + 11*y - 8 What is the k'th term of -2, -8, 0, 34, 106? 2*k**3 - 5*k**2 - 5*k + 6 What is the x'th term of 0, 3, 6, 9, 12, 15? 3*x - 3 What is the v'th term of 3433, 3432, 3431, 3430? -v + 3434 What is the j'th term of -6, 1, 10, 21, 34, 49? j**2 + 4*j - 11 What is the l'th term of -315, -313, -309, -303, -295, -285? l**2 - l - 315 What is the l'th term of 85, 219, 353? 134*l - 49 What is the j'th term of 37, 95, 179, 289? 13*j**2 + 19*j + 5 What is the f'th term of -84, -88, -104, -138, -196, -284, -408, -574? -f**3 + 3*f - 86 What is the o'th term of 161, 341, 521, 701? 180*o - 19 What is the y'th term of 247, 274, 319, 382, 463? 9*y**2 + 238 What is the c'th term of -125, -114, -103, -92, -81? 11*c - 136 What is the a'th term of -1795, -1792, -1787, -1780, -1771, -1760? a**2 - 1796 What is the u'th term of 24, 18, 10, 0, -12, -26, -42? -u**2 - 3*u + 28 What is the m'th term of 220, 416, 612? 196*m + 24 What is the y'th term of 21, 4, -13, -30, -47, -64? -17*y + 38 What is the v'th term of -3084, -3089, -3096, -3105, -3116? -v**2 - 2*v - 3081 What is the y'th term of -16, -26, -38, -52, -68, -86, -106? -y**2 - 7*y - 8 What is the o'th term of 5058, 20228, 45512, 80910, 126422, 182048, 247788? 5057*o**2 - o + 2 What is the l'th term of 2, -47, -150, -307, -518, -783? -27*l**2 + 32*l - 3 What is the a'th term of 40, 354, 1206, 2866, 5604, 9690? 45*a**3 - a**2 + 2*a - 6 What is the z'th term of -127, -499, -1121, -1993, -3115? -125*z**2 + 3*z - 5 What is the s'th term of -35, -37, -37, -29, -7? s**3 - 5*s**2 + 6*s - 37 What is the a'th term of -13, -23, -35, -49, -65, -83? -a**2 - 7*a - 5 What is the m'th term of -34, -147, -336, -601, -942, -1359? -38*m**2 + m + 3 What is the k'th term of -14, -41, -86, -149? -9*k**2 - 5 What is the i'th term of 400, 403, 408, 415, 424? i**2 + 399 What is the v'th term of -17, -42, -83, -140, -213, -302? -8*v**2 - v - 8 What is the r'th term of 12, 12, 2, -24, -72, -148, -258? -r**3 + r**2 + 4*r + 8 What is the r'th term of 1421, 2844, 4265, 5684? -r**2 + 1426*r - 4 What is the w'th term of 237, 942, 2117, 3762, 5877, 8462? 235*w**2 + 2 What is the v'th term of -28, -56, -84? -28*v What is the i'th term of -111, -76, -19, 60, 161? 11*i**2 + 2*i - 124 What is the g'th term of 17, 60, 113, 182, 273, 392? g**3 - g**2 + 39*g - 22 What is the t'th term of 5841, 5840, 5839? -t + 5842 What is the t'th term of 2, -14, -40, -76, -122, -178, -244? -5*t**2 - t + 8 What is the j'th term of 11, 17, 21, 23, 23, 21? -j**2 + 9*j + 3 What is the k'th term of -31, -58, -85? -27*k - 4 What is the d'th term of 200, 205, 212, 221? d**2 + 2*d + 197 What is the i'th term of -218, -434, -650, -866, -1082, -1298? -216*i - 2 What is the a'th term of 51, 49, 49, 51? a**2 - 5*a + 55 What is the w'th term of -3636, -7277, -10918? -3641*w + 5 What is the w'th term of 90, 119, 148? 29*w + 61 What is the s'th term of -6, -11, -2, 27, 82? s**3 + s**2 - 15*s + 7 What is the q'th term of -14, -15, -22, -29, -30? q**3 - 9*q**2 + 19*q - 25 What is the j'th term of 34, 52, 70, 88, 106? 18*j + 16 What is the v'th term of -201, -193, -183, -171, -157? v**2 + 5*v - 207 What is the z'th term of -124, -249, -374, -499? -125*z + 1 What is the v'th term of -2841, -2846, -2863, -2898, -2957, -3046? -v**3 + 2*v - 2842 What is the k'th term of -70, -123, -174, -217, -246, -255, -238, -189? k**3 - 5*k**2 - 45*k - 21 What is the f'th term of 535, 537, 539, 541, 543? 2*f + 533 What is the g'th term of 169, 172, 175, 178, 181, 184? 3*g + 166 What is the b'th term of -689, -1392, -2109, -2846, -3609, -4404? -b**3 - b**2 - 693*b + 6 What is the p'th term of -439, -1815, -4101, -7291, -11379, -16359, -22225? p**3 - 461*p**2 + 21 What is the f'th term of -4407, -4414, -4421, -4428? -7*f - 4400 What is the r'th term of -133, -127, -119, -109, -97, -83? r**2 + 3*r - 137 What is the v'th term of 709, 714, 721, 730, 741, 754, 769? v**2 + 2*v + 706 What is the i'th term of 1553, 3103, 4653? 1550*i + 3 What is the i'th term of -141, -153, -165, -177, -189, -201? -12*i - 129 What is the l'th term of 181, 182, 183, 184, 185, 186? l + 180 What is the l'th term of -251, -494, -725, -938, -1127, -1286, -1409, -1490? l**3 - 250*l - 2 What is the z'th term of -10619, -10622, -10627, -10634, -10643, -10654, -10667? -z**2 - 10618 What is the y'th term of -34, -74, -114, -154, -194? -40*y + 6 What is the i'th term of 40, 69, 72, 37, -48? -2*i**3 - i**2 + 46*i - 3 What is the d'th term of 2, 20, 62, 128, 218? 12*d**2 - 18*d + 8 What is the g'th term of -300, -318, -336? -18*g - 282 What is the p'th term of 5021, 5016, 5009, 5000? -p**2 - 2*p + 5024 What is the u'th term of 62, 176, 346, 572, 854? 28*u**2 + 30*u + 4 What is the p'th term of -11, -24, -39, -56, -75? -p**2 - 10*p What is the v'th term of -312, -315, -310, -291, -252, -187, -90, 45? v**3 - 2*v**2 - 4*v - 307 What is the r'th term of 103, 201, 297, 391, 483? -r**2 + 101*r + 3 What is the j'th term of 1040, 2083, 3128, 4175, 5224, 6275, 7328? j**2 + 1040*j - 1 What is the t'th term of 25, 83, 187, 343, 557, 835, 1183? t**3 + 17*t**2 + 7 What is the v'th term of -14, 11, 52, 109, 182, 271, 376? 8*v**2 + v - 23 What is the q'th term of 718, 725, 742, 775, 830, 913, 1030? q**3 - q**2 + 3*q + 715 What is the p'th term of 25, 55, 115, 211, 349, 535, 775? p**3 + 9*p**2 - 4*p + 19 What is the b'th term of 329, 314, 297, 278? -b**2 - 12*b + 342 What is the m'th term of -1038, -1040, -1044, -1050, -1058, -1068, -1080? -m**2 + m - 1038 What is the l'th term of 344, 345, 348, 353, 360, 369, 380? l**2 - 2*l + 345 What is the a'th term of -131, -129, -129, -131? -a**2 + 5*a - 135 What is the w'th term of 4711, 4714, 4719, 4726? w**2 + 4710 What is the h'th term of 239, 481, 725, 971, 1219, 1469, 1721? h**2 + 239*h - 1 What is the z'th term of 1186, 1188, 1190, 1192? 2*z + 1184 What is the g'th term of 22, 19, 6, -23, -74, -153? -g**3 + g**2 + g + 21 What is the a'th term of -42, -84, -110, -114, -90, -32, 66? a**3 + 2*a**2 - 55*a + 10 What is the h'th term of 78, 155, 230, 303, 374? -h**2 + 80*h - 1 What is the d'th term of -135, -273, -411, -549, -687? -138*d + 3 What is the y'th term of 3038, 6074, 9110, 12146? 3036*y + 2 What is the w'th term of -3230, -6459, -9688, -12917? -3229*w - 1 What is the j'th term of 13, 48, 107, 190, 297, 428, 583? 12*j**2 - j + 2 What is the f'th term of 155, 151, 137, 107, 55, -25, -139? -f**3 + f**2 + 155 What is the s'th term of 7208, 14416, 21624, 28832, 36040, 43248? 7208*s What is the w'th term of -840, -852, -850, -828, -780, -700? w**3 + w**2 - 22*w - 820 What is the u'th term of 0, -2, -4, -6, -8? -2*u + 2 What is the c'th term of 400, 403, 406? 3*c + 397 What is the c'th term of -325, -641, -949, -1243, -1517, -1765, -1981? c**3 - 2*c**2 - 317*c - 7 What is the y'th term of 23, 43, 51, 41, 7, -57, -157? -y**3 + 27*y - 3 What is the k'th term of 293, 581, 869, 1157? 288*k + 5 What is the l'th term of 177, 178, 179? l + 176 What is the o'th term of -2, -26, -72, -140, -230, -342? -11*o**2 + 9*o What is the o'th term of -114, -238, -362? -124*o + 10 What is the x'th term of 529, 498, 447, 370, 261, 114, -77, -318? -x**3 - 4*x**2 - 12*x + 546 What is the h'th term of -37, -47, -63, -85? -3*h**2 - h - 33 What is the p'th term of 4430, 4429, 4428, 4427? -p + 4431 What is the i'th term of -9, 51, 145, 267, 411, 571? -i**3 + 23*i**2 - 2*i - 29 What is the r'th term of 95, 196, 301, 410, 523? 2*r**2 + 95*r - 2 What is the l'th term of -8, -38, -96, -188, -320, -498, -728, -1016? -l**3 - 8*l**2 + l What is the s'th term of 147, 294, 443, 594, 747, 902, 1059? s**2 + 144*s + 2 What is the x'th term of 20, -3, -44, -103, -180, -275, -388? -9*x**2 + 4*x + 25 What is the y'th term of -53, -109, -165, -221, -277? -56*y + 3 What is the j'th term of -958, -1911, -2866, -3823, -4782, -5743? -j**2 - 950*j - 7 What is the f'th term of 211, 220, 219, 202, 163, 96? -f**3 + f**2 + 13*f + 198 What is the a'
{ "pile_set_name": "DM Mathematics" }
1? k Let t be 0 - ((-11)/(-3) - (21 - 17)). Which is the nearest to -2? (a) 2/9 (b) t (c) 1 a Suppose 3*x + 7 = -5*v, -v = -3*x - 18 + 5. Let s = 72 - 77. Let h be ((-1)/4)/(6/16). Which is the closest to h? (a) x (b) s (c) -0.2 c Let h = -4 - -4. Let x = 14/5 - 13/10. Let m = -5/12 + 1/6. Which is the nearest to h? (a) m (b) 5 (c) x a Let v = 5/6 + -1/2. Let i = 0.2 + -0.3. Let d = 66 + -63. Which is the closest to 0.1? (a) d (b) i (c) v b Let z = -499/4 - -124. Suppose -n + 10 = 3*d + n, 0 = -4*n + 20. Let w = -2/11 - 16/33. Which is the closest to 0? (a) z (b) w (c) d c Let p = 2 - -2. Let v = -513 - -9749/19. What is the nearest to -2/5 in p, v, 3? v Let u be (3/(-8))/((-18)/12). Suppose 4 = -7*w + 6*w. Let o = w - -4. Which is the closest to u? (a) -5 (b) o (c) 1/3 c Suppose 2*n - 2*m - 4 = 0, 9*n + 10 = 12*n - 4*m. Let o = 0.41 - 0.01. What is the nearest to -1 in o, n, -3? n Let x be 0*1/3 - 5/(-5). Which is the closest to x? (a) 4 (b) -0.1 (c) 2/7 c Suppose -3*u - 2*q = -3*q, 4*u = -2*q. What is the closest to 0 in 2, u, -3? u Let j be 2*2*85/(-136). Let d = 2.6 - 0.6. Let k = d - 3. Which is the nearest to -0.1? (a) k (b) 1/10 (c) j b Let c = 1.3 + -6.3. Let x be 0 + -1 - 2 - -2. Let u = 20/3 - 7. What is the nearest to 0.1 in x, u, c? u Suppose -5*a = -47 - 613. Let n = -1192/9 + a. Let j = 0.177 - 0.177. What is the closest to 1 in j, 1/6, n? 1/6 Let i = 6 - 11. Suppose -1076*f = -1091*f + 30. What is the closest to -2 in i, f, 4? i Let q(f) = 2*f**2 + 5*f + 2. Let r be q(-3). Let l = 1 - r. Let k = 0 - -4. Which is the closest to -0.1? (a) l (b) k (c) 0.2 c Let z = 22.7 - 25. Let f = z - -2. Which is the nearest to 1? (a) 3 (b) f (c) -0.4 b Let y(w) = 13*w + 1. Let o be y(5). Suppose 0 = -b + 2*n + 25, -5*b + 35 + o = -4*n. Let l be b/36 + 2/(-8). What is the closest to l in -4, -1, 2? -1 Let f = -0.3 + 0.2. Let r = 14 - 1. Let k = r - 17. Which is the nearest to f? (a) 1 (b) -5 (c) k a Let m = -4 - -3.5. Let j = -17/28 - -6/7. Which is the closest to j? (a) 4 (b) m (c) -5 b Let f = -0.56 + 0.46. What is the nearest to f in 5, 4, -1? -1 Let k = -1 - -1. Suppose 5*d + 3 = 2*g, -5*d + 8*g - 3*g = 0. Let y = 10.8 - 11.2. Which is the closest to k? (a) y (b) 2/19 (c) d b Suppose 5*w - 2*p = 24, p - 6 = -3*w - 2*p. What is the nearest to -2/5 in 1, w, 0.4? 0.4 Let a = -14 + 9.6. Let o = -0.1 - -0.7. Let j = o - a. What is the closest to 0.1 in -2/7, -1, j? -2/7 Let k be -4 + 4*(-85)/(-80). Which is the closest to k? (a) -0.1 (b) 4 (c) -4 a Suppose 3*q - 7*q = -4. What is the closest to 2/9 in 0, 2/7, q? 2/7 Let j = 1 - -1. Let y be (-2)/j - (-8)/6. Let l = 117 + -937/8. What is the closest to -0.1 in -0.2, l, y? l Let b = 0.37 - 0.3. Let t = 0.17 - b. Let k be -2 + ((-72)/(-21) - 1). What is the nearest to t in 4, k, 1? k Let s = -7.4 + 15. Let x = s - 8. Which is the nearest to -0.1? (a) 0.5 (b) x (c) 5 b Let h = -171.8 + 172. Let o = -0.5 + 0.9. What is the closest to h in o, 3, -2/13? o Let m = -7 - -11. Let u(y) = -2*y - 6. Let p be u(-8). Suppose -4*i + 3*h = 4*h - 5, p = 4*i + 2*h. What is the closest to i in m, 0.4, 5? 0.4 Let l = -1.4 - -1. Which is the closest to 2/7? (a) l (b) -3/7 (c) -3/4 a Let v be (4 + -4)*3/9. What is the nearest to 1 in 2/3, 0.1, v? 2/3 Let z = -89 - -151. Let r = z + -121/2. Which is the closest to -0.1? (a) -4 (b) r (c) -1 c Let d be (-21)/(-18) + 2/(-3). Let y = 2.65 - 2.85. What is the closest to d in 2, y, -5? y Let k = 3 + -2.6. Let r = 0.06 + 0.04. Let i = 0.1 + 0.4. Which is the nearest to r? (a) i (b) -1 (c) k c Let w be ((-1)/(-2))/((-6)/(-4)). Let c = 247 + -2221/9. Let j be -1 + (2 - 4/5). What is the closest to -1 in w, c, j? j Let j(q) = -2*q**2 + q. Let l be j(1). What is the nearest to l in 4, -2/7, -3? -2/7 Let h = -23/42 + 1/21. What is the nearest to 0.3 in h, 0.2, -0.1? 0.2 Let u be (-6)/(-9) + 1189743296/(-2433745875). Let z = u - -5/1179998. Let b = z - -1/250. What is the nearest to -2 in -5, -0.2, b? -0.2 Let x = 3 + 0. Let w be ((-1)/x)/((-1)/6). Let r be 0/((-2 - 0)/w). Which is the nearest to r? (a) 0.4 (b) 0.2 (c) -1/3 b Let j = 6.4 - 6.5. What is the nearest to j in -1/3, -2, -3? -1/3 Let f = -3 - 2. Let d = -1 - f. Let v = d - 6. Which is the closest to v? (a) 0.5 (b) 3 (c) 2 a Let k = 41 - 41.1. Which is the closest to -2? (a) k (b) 2 (c) -2 c Let x = 25/21 + -6/7. Let z = -5.1 - -1.1. Let i = -7 - z. What is the closest to 2 in x, -1/6, i? x Suppose j - 27 = 5*l, 3*l = -5*j + 5*l + 20. Let f = -758/3 - -252. What is the closest to 0.1 in -2, j, f? f Let z = -0.2 + 0.21. Which is the nearest to 1? (a) 2/3 (b) -5 (c) z a Let f = 7 + -10. Let x = f - -5. Let z = -14 + 10. Which is the nearest to 0? (a) z (b) -3/8 (c) x b Suppose 4*h - 14 = -2*w, -h - w = -6*h + 28. What is the nearest to -1/3 in -1/10, 2, h? -1/10 Let z = 6/23 + 16/115. What is the nearest to -1 in z, -22, 3? z Let h = 131 + -657/5. What is the closest to -2 in -2/7, 3, h? h Let z = -181.2 - -181. What is the closest to z in 0.5, 3/7, -1? 3/7 Let o = 0.11 - 0.11. What is the closest to 1 in 4, -0.3, o? o Let d = -124 + 123.7. What is the closest to d in -1/4, 0, 4? -1/4 Let s = -191.2 - -191. Let i = 0.7 - -0.3. What is the nearest to s in i, -1, 1/2? 1/2 Let k = 1001/6 + -169. Let n = k - -79/42. Let u be (6/9)/(13/(-3)). Which is the closest to n? (a) 0.4 (b) u (c) -0.4 c Let f = 0.07 - -0.93. Suppose 5*v = 0, 5*p - 3*p + v = -184. Let r = -281/3 - p. What is the nearest to f in 0.3, r, 1? 1 Let m = -22/13 - -268/143. Which is the closest to -2? (a) -2 (b) m (c) -0.3 a Let z = -51 + 52. Which is the closest to z? (a) -4 (b) 5/3 (c) 0 b Suppose 0 = 4*d - 39 + 7. Which is the nearest to d? (a) 0.1 (b) -1/6 (c) -1/4 a Let t(k) = -3*k + 1. Let v be t(1). Suppose 0 = -7*f - 8 - 13. Let w = -0.13 + 0.53. What is the closest to 0 in f, w, v? w Let l = 0.13 - 0.33. Let k = 0.8 - 0.3. Which is the closest to l? (a) -0.2 (b) 5 (c) k a Let q = -0.42 + 0.72. What is the closest to -1 in q, 0.2, -2? -2 Let c = 7 - 12. Let k = c - -4.7. What is the nearest to -1/4 in 1/2, -2/7, k? -2/7 Let j = 0.15 + 2.85. What is the nearest to -0.2 in j, -3/2, -3? -3/2 Let j be (2/3)/((-22)/(-33)). Which is the closest to j? (a) -1 (b) 0 (c) 4 b Let z = -0.8 - 0.2. Let m be ((-14)/(-49))/((-3)/7). Which is the closest to z? (a) -1/7 (b) 5 (c) m c Suppose 4*l - 4*n = 32, 3*l - 6*n = -n + 34. Which is the closest to l? (a) 0.01 (b) -2 (c) -0.2 a Let f = 4 - 7. Which is the nearest to -2? (a) f (b) 2 (c) 1/5 a Let d be ((-2)/(-4))/(2/(-12)). Let y = -9 - -8.9. Let h = 2.5 + -2. Which is the closest to y? (a) d (b) h (c) 0 c Let p = -1.5 + 2. Let z = 531 + -21769/41. Let a = 76/123 + z. What is the nearest to a in p, -1, -4? p Let v = 3 + -2.7. Let d = -2 - -2. Which is the closest to d? (a) v (b) 1 (c) 1/3 a Suppose 6*x - 1 = 3*x - 4*s, s - 5 = 4*x. Let l be (3/(-2))/(2*1). Let i be 6/(-21) - (-96)/238. Which is the closest to x? (a) i (b) l (c) -3/5 b Let g = 2.106 + -0.106. What is the closest to 1.1 in -3, -0.2, g? g Let c be 1/4*(3 + -4). Let p = -19 + 19.5. What is the closest to c in p, -0.2, -0.5? -0.2 Let i = 15 + -9. Let j = i - 6.3. Let l = 9 - 26/3. Which is the closest to l? (a) j (b) 0.1 (c) -1 b Let v = -44 + 43. Let g(p) = p**3 + p**2 - p. Let h be g(-1). What is the closest to 2 in 3/7, v, h? h Let u = -0.2 + -0.8. Let q = 14.9 - 14.9. Let f = -3.07 + 0.07. Which is the closest to 1? (a) f (b) u (c) q c Let p be (-18)/(-8) - (1 - -1). Let s = 0.3 + -0.4. Let d = -2 - -2.1. Which is the closest to d? (a) s (b) p (c) -1/6 b Let r = -32 - -95/3. Suppose -4*p - 299 = 3*z, 0 = -3*p - z - 100 - 128. Let i = p - -461/6. Which is the nearest to 1/2? (a) r (b) i (c) 0 c Let y = -17 - -12. Suppose 0 = l + 4*l - d - 8, -2*d = 3*l + 3. What is the nearest to -0.02 in l, y, -2? l Let p = 0.7 - 1. Let x = -4.3 - p. Which is the closest to 1? (a) x (b) 5 (c) 2 c Let o = -4 + 3. Let k = 0 + o. Which is the nearest to -2? (a) 0.5 (b) -1/2 (c) k c Suppose -4*z - 26 + 1 = -3*r, z - 8 = -4*r. What is the nearest to -1/6 in z, -6, -0.1? -0.1 Let s be (-3 - -1)*(-4 - -5)/2. Let x = 0.1 + -0.2. What is the closest to s
{ "pile_set_name": "DM Mathematics" }
e s(-3). Let j(z) = 7*z - 23. Let w be j(b). Let k = -60 - w. Solve k*h + 40 = 4*l, -h + 1 = -5*l + 6*l for h. -4 Let l(m) = -m**3 + 25*m**2 + 2*m + 626. Let z be l(26). Solve 3*f - 4*u = 0, -4*f - z*u = 4 - 26 for f. 4 Suppose -11*p + 58*p + 16*p = -33*p. Solve -4*b + 20 = -3*s, p = -s - 12 + 8 for b. 2 Suppose 0*g - 2*g = 0. Suppose -295 = -423*f - 232 + 1206. Solve 4*i + 9 = 3*h - 19, -f*i - h - 8 = g for i. -4 Let b be -4 - -1*(10 - -19). Suppose -66 = -5*s + 24. Solve 5*u - s = -4*a + 15, -5*u = -b for a. 2 Let s(f) = 2*f - 8. Let p be s(5). Suppose -2*z + 15 = 4*i + z, p*z = 5*i + 10. Suppose 0 = -w + 5 + 4. Solve -3*r = 3*j - w, -5 = -5*r - i for j. 2 Let t(w) = -2*w**3 - 18*w**2 - 10*w - 50. Let c be t(-9). Solve -g - c = -5*o, -4*g - 4*o + 12 = 4 for g. -5 Let l(d) = -27 + 8 - 3*d**2 + 1 + 12*d. Let i be l(6). Let v = i + 59. Solve s + 4*b - 4 = 0, 3*s + 5 - 10 = -v*b for s. 0 Suppose 8 - 16 = 4*t, 14 = o - 6*t. Solve 4*i + 13 = o*l - 3, -5*l = 2*i - 16 for l. 4 Let g = 82 + -47. Suppose 6*x = -x + g. Suppose 0 = -4*z + 2*b + 58, -b + 49 = 4*z + 6. Solve 2*f + 3 = -5*a - 6, 0 = a + x*f - z for a. -3 Suppose -161 + 17 = -16*b. Suppose -16*l + b*l = -14. Solve 4*w = -l*p + 10, p + 15 = 4*w - 2*w for p. -5 Let d = -33 - -26. Let p(c) = c**3 + 5*c**2 - 7*c + 4. Let n be p(d). Let g = n + 50. Solve -4*z + 19 = g*a, -8 = 5*z - 5*a + 2 for z. 1 Let z = -4333 + 4335. Solve 0 = 2*r + 3*p - 13, z*r - 5*p = 5 - 0 for r. 5 Let v = -106 - -102. Let a be -1 + (36/(-30))/(v/10). Let m be (-4)/22 + (-46)/(-11). Solve 8 = -x + 3*y, 5*x - 2*y - a*y = m for x. 4 Let i(p) = -2*p**3 - 64*p**2 + 67*p + 110. Let y be i(-33). Solve y*j + 5*h = 75*j + 18, 4*h - 12 = -j for j. 4 Let w(u) = -11*u - 5. Let p be w(-26). Let n = -276 + p. Solve 25 = n*t, a - 2*a = 5*t - 27 for a. 2 Let n = -18744 - -18748. Solve 3*f = -5*q - 27, -47*q - n*f - 28 = -43*q for q. -3 Let z = 45 - 80. Let k = 44 + z. Solve -18 = 3*o + 3*q, 26 = -2*o - 3*q + k for o. -1 Suppose -l + t + 6 = 3, 0 = -5*l - t + 21. Suppose 0*x - l*x = -8. Let g be (25 - 112)/(-783) + (-2)/((-18)/17). Solve x*i = o - 11, -o + i + 16 = -g*i for o. 1 Suppose 0 = 2*j + l + 28, 2*l = -0*j - j - 20. Let d be (-2)/8 - 63/j. Solve -3*s + c = 6, -s - d*c - 2 = 16 for s. -3 Let s(l) = 161*l + 981. Let g be s(-6). Suppose 3*c - 12 - 3 = 0. Solve 0 = -c*n - 5*a + g, 4*a + 14 = 2*n + 8*a for n. -1 Let o(g) = g**2 - 4*g. Let k be o(5). Suppose 5*b - 26 = -2*j, -47*j + b = -49*j + 34. Solve 3*a - y + j = -2*a, k*a = 5*y - 10 for a. -4 Let h = 123 + -121. Suppose 4*t - 4*l = -5*l + 36, -32 = -5*t + h*l. Suppose -5*b = -t*b + 66. Solve z - 6 = d, 2*z + b = 7*z - d for z. 4 Suppose -867 = -15*l + 138. Suppose 0 = 4*x + 51 - l. Solve -g + 19 = -x*o, 3*o + 9 = -2*g - 8 for g. -1 Suppose 19 = j - r, -7*r + 40 = 4*j - 2*r. Suppose 463 = j*h + 148. Solve 3*m - 2*t = -4 + 3, 0 = -3*m - 3*t - h for m. -3 Suppose -4*n - 36 = -13*n. Let p = 14 - -11. Suppose -3*s = 4*u + 2*s - p, 0 = -s - 3. Solve 3*j - n*b + 1 = 6, 0 = 2*j + 4*b - u for j. 3 Let x(y) = -y**2 + 5*y + 9. Let q be x(6). Suppose -q*s - 2*s = -70. Solve 0 = -0*k + k - 2*c - 8, 2*c + s = 4*k for k. 2 Let q(k) = -12*k + 17. Let z(c) = -61*c + 82. Let a(r) = -11*q(r) + 2*z(r). Let i be a(3). Solve -3*x = -4*n + i, -n + 4*x + 3 = -2*n for n. 1 Suppose -3*f + 38 = -2*a, -10*f + 4 = -9*f. Let j be ((-13)/(-3))/a*-45. Solve 5*m + j = 5*q, -3*m - 6 = 4*q + 17 for q. -2 Suppose -3*a - 2*d = -47, 191*d - 190*d + 37 = 4*a. Solve -14*y + g - 10 = -a*y, 4 = 4*y + 3*g for y. -2 Suppose 5*g - 2*g - 3*v - 3 = 0, 29 = 5*g + v. Suppose -f = -4*x - 3, 15 = -x + g*x + 5*f. Solve 19 = l - x*l - 3*y, -5*l + 35 = -3*y for l. 4 Let f = -8771 - -8817. Solve -p + f*z - 43*z - 5 = 0, -2*p + 3*z = 1 for p. 4 Suppose -5*u + 144 = -5*n + 874, -3*n - u = -446. Let l = -144 + n. Solve g = p + 8, p - 6*g + 13 = -l*g for p. -3 Suppose -10*o - 14 = -34. Solve 0 = 4*x + 5*u - 7, 7*u + 5 = o*u for x. 3 Suppose 2*c - 3 = 3*c, -t + 112 = -4*c. Let i be (2/5)/(((-64)/t)/(-8)). Solve -i*q + 2*x = 25, -3*q - 4*x + 12 = 1 for q. -3 Let o be (5/20)/(2/16). Suppose -l = 4*h - o*h - 20, h - 55 = -2*l. Let b = l + -26. Solve -19 = b*i - 3*n, -5*i + 0*n - 20 = -3*n for i. -1 Let x be ((-3)/2)/(8/(-6 - 42)). Solve 5*s = -3*m - 12, 4*m + 25 = 4*s + x for m. -4 Let w = -1348 - -942. Let s = -404 - w. Let f be (2 - (1 + 3)) + 4. Solve -2*d = y - 7, 0*y - s*d + 10 = f*y for y. 3 Let j = -334 + 336. Let w be -2 + 0 + 48/8. Solve -1 + 5 = -j*c - 2*d, -w*c - 8 = d for c. -2 Suppose -b + 17 = 32. Let n be (0 + 1)*(b/(-5) + 0). Suppose -3 = -3*l - 6*k + 3*k, -3 = -4*l - n*k. Solve a - i = 0, l = a - 5*a - 3*i + 35 for a. 5 Let m(t) = 100*t**2 + 6099*t - 58. Let u be m(-61). Solve -c = -3*x + 20, -20*x + 19*x + 20 = -u*c for x. 5 Suppose 0 = -206*l + 144*l. Solve -2*d - 27*b + 22*b + 19 = l, -2*b = -3*d for d. 2 Let s(l) = 7*l + 122. Let d be s(-17). Suppose -3*a = -7 - 2. Let u(b) = -b**2 + 10*b - 4. Let k be u(9). Solve -6 = -a*v, v = k*j + d*v - 9 for j. 1 Let g be 0/((-3 - 6)/(-18)*-2). Solve 2*b - 3*h + 3 = 0, 0 = 5*b - 2*h - g + 2 for b. 0 Suppose 100*w - 364 = 336. Solve w*a = 11*a - 5*p - 5, 0 = -a - p - 10 for a. -5 Let t(g) = -3*g**2 + 226*g - 286. Let q be t(74). Solve 5*a = 0, 2*o - 107*a = -112*a - q for o. -5 Let q be (-2 + -37)*5/15*3. Let b = q - -51. Suppose b = 5*t + n + 1, 0 = -4*t - 3*n. Solve 0 = 4*d, 2*o - t*d - d = -2 for o. -1 Suppose -130 = -q - 4*q + 5*l, 2*q - 61 = 5*l. Suppose 16*c = -q + 71. Solve -5*k - 3 - 9 = c*t, -4*k = -4*t + 16 for t. 1 Let f(c) = 2*c**2 + 178*c - 1132. Let l be f(-95). Solve -4*a + l*i + 6 = 6*i, -4*a = 5*i - 41 for a. 4 Let m = -61 + 83. Suppose -24*a = -m*a - 8. Solve -3*c = -a*n + 3*n - 7, 0 = c - 4 for n. 5 Let g be 44/(-77)*7 - -14. Solve 4*s + g = -3*c - 2, 5*c - s - 3 = 0 for c. 0 Let y(r) = -r**2 - 2*r + 4. Suppose 25 = k + 4*g, 3*k + g = 17 + 3. Suppose -8*c = -k*c. Let x be y(c). Solve -3*f - 19 = -x*n, -4*f - n + 2*n = 8 for f. -1 Let c(y) = y**3 + 27*y**2 + 19*y + 20. Let w be c(-26). Let s = -197 + w. Solve -5*k = -s*h - 10, 3*h + 2*h + 18 = -3*k for h. -3 Suppose 27771*t - 27796*t = -75. Solve 0 = -3*w + 4 + 11, t*c - 30 = -3*w for c. 5 Suppose 24*v - 92 - 184 = 132. Solve 3*j = 4*w + v, -2*j + 28 = -5*w + 5 for w. -5 Suppose 142*x - 89*x + 1120 = 85*x. Solve -3*v - 12 + 1 = 2*n, 5*v = 5*n - x for v. -5 Suppose 17212 = -32*s - 20*s. Let p = s + 331. Solve i + 15 = 4*u, p*i + 6 = -3*u - 5*i for u. 3 Suppose -3*b + 7*b + 3*q - 21 = 0, 15 = 4*b + q. Suppose -r + 20 = 4*r. Solve b*i - r*l = -i + 8, -2*i = 2*l for i. 1 Suppose 2*i - 12 = -4*w, -3*w - 4*i + 4 + 5 = 0. Suppose -g = 0, -15 = -w*p - 5*g + g. Solve 2*q + 2 - 3 = p*u, -4*u - 8 = -4*q for u. 1 Suppose -5*p = 5*y + 10, 4*y + 6*p = 4*p. Let u be (-4 + (-3 - -8))*y. Solve -w - u*w = -3*g - 9, 5*g + 13 = 4*w for w. 2 Let u(x) = 30*x + 574. Let p be u(-19). Solve -2*h = p*k - 8*k - 10, -4*h + 20 = -k for k. 0 Let b(c) = -c**3 - 8*c**2 - 28*c + 31. Let x be b(-11). Let o be ((x/12)/(-13))/(2/(-4)). Solve t - o = -3*a - 2*t, a + 4*t = -3 for a. 5 Let j = 168 + -164. Suppose 3*d - 15 = -j*t, -4 = 4*t - d + 1. Solve 0 = -y - 2*r - 3*r - 19, -5*y - 2*r - 26 = t for y. -4 Let l = 15982 + -15980. Let a(w) = -w**2 + 8*w + 9. Let i be a(8). Suppose -u - 2 = -i. Solve 5*o = 3*m - 4*m - l, -4*o + m = u for o. -1 Let g be ((-54)/(-30) - 2)/(3/(-45)). Suppose -120 = -4*c - 4*w, 4*w = 3*c + g*w - 98. Solve -5*r + j - 7 + 31 = 0, 0 = -5*r + 3*j + c for r. 4 Let s = -181 + 181. Suppose 5*f - 2*u + 0*u = 93, 3*u = 3. Let r = f - 10. Solve 12 = 4*k, x + 4*x - 2*k - r = s for x. 3 Suppose 0 = -45*v + 1304 - 404. Solve 0 = 5*u + 4*t + v, 3*u + 8 = 2*t - 4 for u. -4 Suppose 5*b - 148 = 4*z - 143, 2*b - 2 = 3*z. Solve 0 = -4*q + 3*q + 3*s - 8, -s + 1 = z for q. -5 Let a be 50*(-10)/25 + 23. Solve -a*p - 33 = 4*n - 9, 5*n + 3 = 3*p for p. -4 Let x be -3 - ((-9)/1 - -3). Suppose -5*u + 0*u + 5*r = 0, -x*u = 2*r. Let q(o) = -8*o - 178. Let g be q(-23). Solve 2*n - 2*m + g = u, 3*m + 2 = -1 for n. -4 Let y be (12/(-10))/((-19)/(12350/39)). Solve 7*t = 5*i + 2*t - 25, 5*i + 4*t + y = 0 for i. 0 Suppose k = -y + 10, 5*k + 5*y - 40 = 2*k. Solve -3*m + 2 = j, 4*j = k*m - 19 + 10 for m. 1 Suppose -2*z - 3*v = -21 - 7, 4*z = 2*v + 40. Sol
{ "pile_set_name": "DM Mathematics" }
13. What is the least common multiple of 4 and m? 36 Calculate the least common multiple of (-1)/(-9) - ((-426)/(-27))/(-2) and 36. 72 Let l(u) = u. Let p(s) = -2*s**2 + 8*s + 4. Let q(r) = -3*l(r) - p(r). Calculate the lowest common multiple of q(6) and 74. 74 Let u = 30113/140 - 1478/7. Let f = 1/562 + 12081/1124. Find the common denominator of u and f. 20 Suppose 2*p + 3*h = -1, -5*p + 15*h = 11*h - 32. Let a be 0 - (0/(-2))/(-1). Suppose -2*f - f + 54 = a. What is the lowest common multiple of f and p? 36 Let p(t) = 2*t - 5. Suppose 6*w - 17 = -5*x + 5*w, 2*w - 4 = 0. What is the least common multiple of p(4) and x - ((0 - -1) + -4)? 6 Let q = 861 - 3405/4. Let f(l) = l**2 + 7*l + 6. Let b be f(-5). What is the common denominator of b/18 + 172/288 and q? 8 Let s be 53896/828*(-3)/(-4). Let p = s - 22/69. Find the common denominator of -30 and p. 2 What is the common denominator of 3 - (116/36)/(-1) and (168/10)/((441/14)/7)? 45 Let j be 904/28 - 4/14. What is the common denominator of j/11 - (5 - 1) and 14/3? 33 Suppose -36*s + 838 + 1430 = 0. Calculate the smallest common multiple of s and 504. 504 Let b = -4402 - -528071/120. Find the common denominator of b and -32/15. 120 Let k = -3/6816361 - 14266642625/2153970076. Let g = 10/79 - k. Calculate the common denominator of -53/8 and g. 8 Let a = 333447 + -125376155/376. Calculate the common denominator of 26/141 and a. 1128 Let u = -434626/13 - -33397. Let d = u - -8753/208. What is the common denominator of d and 29/26? 208 Calculate the common denominator of 1/(-7)*(-249)/(-6) and (-201)/1826 - (-183)/671. 1162 Let z(r) = r**2 - 6*r + 32. What is the smallest common multiple of z(-14) and 6? 312 Suppose 0 = 4*n + 2*y + 816, -n = 2*n + 4*y + 622. What is the common denominator of ((-3)/132)/(1/n) and -47/8? 88 Suppose -5*x + 8 = -3*x. Find the common denominator of (134/6)/(x/(-3)) + 1 and 12/5. 20 Suppose 86 = -8*g + 10*g. Let q = -25 + g. What is the smallest common multiple of q and (-4)/(-3 - -5 - 4)? 18 Suppose 7*c - 2*c = -212430. Let d be c/(-156)*(-1)/10. Let g = d - -304/13. Find the common denominator of -49/4 and g. 20 Suppose -2*x = -6*x + 16. Suppose -y + 12 = x*m, 54 = 2*y - 0*m - 2*m. What is the lowest common multiple of 27 and y? 216 Let o = 107571815/627 - 171566. Calculate the common denominator of -22/3 and o. 627 Let g be (4 + (-485)/120)/((-3)/204172). Let h = 2838 - g. Calculate the common denominator of 78/(-20) + 0 - 1 and h. 90 Let q = -2 + -2. What is the common denominator of 10/q*(-207)/(-15) and (48/40)/(9/140)? 6 Let z = -904/7 + 11779/84. Let j = 4348/11 + -146765/374. What is the common denominator of z and j? 204 Let q = -2/6301 + 422171/12602. Let s(v) = -v**2 - 3*v + 7. Let r be s(-5). What is the common denominator of (-142)/r*12/(-32) and q? 4 Let m be (3/6)/(1/10). Let x be 4 + (1155/(-87))/m. Let d = -1729/116 - x. Calculate the common denominator of d and -109/22. 44 Let q = -53 - -75. What is the common denominator of (1/(-16))/((-1)/(-17)) and 450/(-42)*7/q? 176 Find the common denominator of 11/40 and -3 + 3 + (310/(-176))/(-5). 440 Find the common denominator of (119/(-112))/(11/22) and 167/60. 120 Suppose 55*u - 49*u + 224994 = 0. Let a = 8924655/238 + u. What is the common denominator of a and -57/22? 2618 Suppose -4*x + 33 + 27 = -3*w, 2*x - w - 28 = 0. Calculate the lowest common multiple of x and 164. 492 Suppose 4*m - 102 = -2*g, -3*m - 31 = 5*g - 97. Suppose 4*i + m - 3 = 0. Find the common denominator of 35/4 and -3 - ((-51)/i - 0). 4 Let u be 1/2 - 5/(-4)*2. Suppose 3*y + 2*m - 5*m = 9, 0 = -y - 3*m + u. What is the least common multiple of y and 5? 15 Suppose -1 + 5 = m. Let z(j) = 0 - 7*j**2 + m + 9*j**2 - 3*j - 5*j. Calculate the smallest common multiple of 18 and z(5). 126 Let d be 15818/64*(-3 + 21/3). Let v = d + -987. Find the common denominator of 79/6 and v. 24 What is the lowest common multiple of 40 and (3 + 37)/(1/2)? 80 Let v(f) = 6*f**2 - 4*f + 1. Calculate the smallest common multiple of v(-1) and 6. 66 Let m(z) be the second derivative of z**5/20 + 11*z**4/12 + 5*z**3/3 + 25*z**2/2 + z. Calculate the smallest common multiple of 1 and m(-10). 25 Find the common denominator of (-175)/(-90) + (-30)/5 and (-159)/(-10)*10/(-48). 144 Let o = 12 + -12. What is the common denominator of 182/4 - (-2 - o) and -29/50? 50 Let v = 100 - 33. Find the common denominator of 49/18 and 0/5 - v/15. 90 Let y = 461/22 - 4427/132. Let f = -14671/14 + 1045. Calculate the common denominator of f and y. 84 Suppose 4 + 8 = 2*o. Suppose -3*p - 4*z - 8 = -7*p, 2 = z. Calculate the least common multiple of o and p. 12 Let p be (-3)/(-6) - 122/(-4). Let v = p + -25. Calculate the lowest common multiple of 8 and v. 24 Let a(m) = 14*m**2 - m - 1. Let v be a(1). Suppose 4*r = -0*r - 2*t + v, 5*t = 4*r + 16. Calculate the smallest common multiple of r and 47. 47 Suppose 5*l + 0*l - x - 16 = 0, -5*l - x = -24. Suppose 0 = -4*m + 5*f + 65, f + 15 = -2*f. What is the lowest common multiple of l and m? 20 Suppose 5*p = w + 541, 7*w + 2*p = 3*w - 2076. Let i = -14089/27 - w. Calculate the common denominator of i and -41/30. 270 Let m = -24268/9 - -2690. Let o = 0 - 11. What is the common denominator of o*(-1)/(-10)*4 and m? 45 Let q = 430 + -7735/18. Calculate the common denominator of 2 + -4*5/120 and q. 18 Let m be 44464/(-441) - (-4)/(-14). Let r = m + 4423/36. What is the common denominator of -5/6 and r? 12 Let u = 2521981/43 + -58648. Let v = u - 3731/344. Find the common denominator of (-2)/((-16)/89) - 1 and v. 8 Let o = -2011/6 - -866/3. Find the common denominator of 7/22 and o. 22 Let d(u) = -25*u**2 + 15*u**2 + 11*u**2 + 24 - 10*u. What is the smallest common multiple of 8 and d(8)? 8 Suppose 5*b + 0*o - 30 = -5*o, 4*o = 3*b - 46. Calculate the lowest common multiple of 9 and ((-45)/b)/((-2)/4). 9 What is the least common multiple of (4 - 12)/(-2)*(3 - 1) and 34? 136 Let r(t) = t**2 - 26*t + 50. Let s be r(24). Suppose -s*i + 12 = -12. Calculate the lowest common multiple of 2 and i. 12 Suppose 4 = 2*p + 12. Let f = -557/63 + 65/7. Calculate the common denominator of (219/9)/(p/3) and f. 36 Let x be 3 - (1/6)/(630/(-34641)). Let i = x + -157/14. Find the common denominator of 15/4 and i. 20 Let f = 283/20 - 47/4. What is the common denominator of f and 117/20? 20 Let w be (-2)/12 - (-814)/(-12). Let i = -1093/18 - w. Calculate the common denominator of i and (1029/24)/(-7) + -4. 72 Let h be 4/(-7) - (-7)/(98/36). Let l(p) = 6*p**2 - 8*p + 6. What is the lowest common multiple of l(h) and 16? 112 Let u(l) = -l**2 - l + 1. Let d(t) = -20*t**2 + 5*t - 4. Let f(i) = d(i) + 5*u(i). Let a be f(-1). Let v = a + 40. What is the least common multiple of 6 and v? 48 Suppose -6 - 9 = 5*s - 3*i, 5*s + 5 = i. Suppose s*b = -2*b + 16. Calculate the lowest common multiple of 11 and b. 88 Let v(m) = -m**3 - 1 + 6*m**2 + 9 - 6*m + 13*m - 1. Suppose u - 3 + 1 = 0. What is the smallest common multiple of u and v(7)? 14 Let y = 13 + -9. Let o be 4/(-8)*y - 1. Calculate the common denominator of -1*(o - (-32)/10) and 34. 5 Calculate the common denominator of -16/9 and (-117)/15 + 2 - -4. 45 Let k = 11737 + -8242. Let i = -14063/4 + k. What is the common denominator of 94/(-36) + (-2 - -1) and i? 36 Let x be (-220)/(-40) - 1/2. What is the smallest common multiple of (x + -4)/(2/36) and 36? 36 Suppose -3*b - 31 = r - 0*r, 2*r + 107 = 3*b. Let n = r + 66. Calculate the smallest common multiple of n and 8. 40 Let q = -2450 + 9701/4. Let c = -18426599/2636 + 7474/1977. Let i = 6977 + c. What is the common denominator of q and i? 12 Suppose 0 = w - 2*n + 4*n - 8, -2*n + 8 = 0. Suppose -56 = -w*v - 4*v. Suppose 0*c + 70 = 7*c. What is the least common multiple of c and v? 70 Let x(n) = 14*n**2 - 4*n - 4. What is the least common multiple of x(2) and 8? 88 Let f(x) = 15*x - 17. Let m be f(-7). What is the common denominator of -27/8 and (m/34)/(10 + -8)? 136 Let x = 10 - 40. What is the common denominator of x/4 - 56/(-140) and 79/18? 90 Suppose 3*i + 3 = 0, i + 10 = 3*s - 9. Let f(k) = -k - 3. Let n be f(s). Let g = 5 - n. What is the lowest common multiple of g and 2? 14 Suppose 124 - 133 = -c. Find the common denominator of 44/c + 5/(15/3) and -29/9. 9 Let b = 6347
{ "pile_set_name": "DM Mathematics" }
*f + 2*y + 22, 2*f + 2*y + 17 = -3*y. Let o be 0 - (-5)/((-10)/f). Is o/5 + 48/20 a composite number? False Let n be 2/9 + 6/(-27). Is n/3 + 23/1 a prime number? True Let n(x) = x - 3. Let r be n(4). Let v be 1/r*(1 - 3). Is (-4569)/(-27) - v/(-9) a composite number? True Suppose -t = b - 63, 0*b + 4*b + 5*t = 248. Is b a composite number? False Suppose 5*u = k + 4*k - 175, -2*k + 190 = -5*u. Let m = -21 - u. Is m composite? False Let s be (16/20)/((-6)/(-285)). Suppose 4*a = 14 + s. Is a prime? True Let b(d) be the third derivative of d**6/360 - d**5/24 + d**4/3 - d**3/3 + d**2. Let t(o) be the first derivative of b(o). Is t(6) a composite number? True Let r(w) = -40*w + 11. Suppose -2*i - 3*x = 30, -5*i - 7*x - 61 = -3*x. Is r(i) a composite number? True Suppose 4*l - 3*d - 15 = 0, 18 = l - 0*l + 4*d. Let n(i) = -4*i**2 + 8 - i + 0 + 5*i**2. Is n(l) prime? False Let g = 618 - 365. Is g a composite number? True Suppose 9*q + 1194 = 9825. Is q composite? True Suppose 4*f - 224 = 2*w, -5*w - 16 = -f + 22. Is f a composite number? True Let j be (-2 - 1/(-4))*4. Let v(a) be the second derivative of a**4/4 + 7*a**3/6 - 9*a**2/2 - 2*a. Is v(j) a prime number? True Let x be ((-2)/(-2))/((-2)/(-10)). Suppose -x - 19 = 3*j. Is 2/8 - 294/j composite? False Let r be 1 - -1 - (-4 + -14). Let n = r + 5. Is n prime? False Let q(d) = -d**2 - 5*d + 1. Let a be q(-4). Suppose -2*p - 2*p = -x + 72, p - 444 = -a*x. Suppose -4*f = -x - 44. Is f prime? False Is (0 - (-1)/(-2))/((-6)/2676) prime? True Suppose 3*l - 1275 = -399. Is (-5)/(2*(-2)/l) a composite number? True Let a be (-1)/2 - 2/(-4). Let t(k) = -k**2 + 10*k + 5. Let j be t(7). Is (1 - a)/(2/j) a composite number? False Suppose -5*y + 15 = 3*w, 0*y - 4*y + 12 = -w. Let h(z) = z + 161. Is h(w) prime? False Let i = 22 + 122. Suppose -2*h + h = -i. Let a = -91 + h. Is a a composite number? False Let r be 9584/48 - (-2)/6. Let m(d) = -d + 133. Let x be m(0). Let a = r - x. Is a composite? False Let s(w) = 2*w**2 + 1. Let q be s(-1). Suppose j = -q*j + 92. Is j a composite number? False Let p = -67 - -194. Is p composite? False Suppose 0 = 3*r - 3*v + 7*v - 5293, 0 = v - 4. Is r a prime number? True Let q(y) = 4*y - 7. Let a be q(7). Suppose 0*t = t - a. Is t prime? False Let u = -36 - -58. Suppose 0*z + z - 27 = 0. Suppose -n + z = -u. Is n a prime number? False Suppose 8*x = 3*x - t + 243, -5*x - 3*t + 239 = 0. Suppose -5*j + 6*j + 5 = 0, 3*j + 49 = o. Let u = x + o. Is u a composite number? False Suppose 4*b = 8, 3*m - 51 = -0*m - 3*b. Suppose -3*f + m = 2*o, -2 = -o - 5. Is f composite? False Suppose -4 = -2*a + 2. Suppose 0 = n - 4*n - a. Let z = 52 + n. Is z a composite number? True Suppose y + 0*y = 3. Suppose y*c + 8 = r - 0*c, 3*c = 5*r - 16. Is -110*((-1)/r)/1 a composite number? True Let n be (-56)/(-32)*(0 - -28). Suppose 4*t + 3*w = 94, -4*t + n + 31 = -4*w. Is t composite? True Let j = 158 + -19. Is j/(-4)*(-16)/4 a composite number? False Let o = 265 + -168. Is o composite? False Let q = 769 + -462. Is q a prime number? True Let h(g) = g**3 + 6*g**2 + 4*g - 2. Let q be h(-5). Suppose l + 10 = q*l. Is 5 + -3 + l*4 a prime number? False Suppose 4*p = p + 12. Suppose 5*n = -5*o + 285, -231 = -p*o + n - 2*n. Is o a composite number? True Suppose 3*t + t + 4 = 0, 3*t = 4*x - 2391. Is x composite? True Let z(f) = -f**2 - 7*f - 5. Let p be z(-4). Let c(s) = 130*s - 4. Let t be c(p). Is 6/21 + t/14 a prime number? False Suppose 0 = -z + 3*t + 388, 2*z - 1979 = -3*z + 2*t. Is z prime? True Suppose -4*m + 946 = -1078. Suppose 5*v - l + 247 = 890, -5*l = -4*v + m. Is v composite? True Suppose 37 + 19 = 2*k. Let c = 49 - k. Is c a prime number? False Let g(l) = -l**2 + 9*l - 8. Let p be g(8). Let r = -9 + p. Let t = 29 - r. Is t composite? True Let k(r) = r + 1. Let v be k(3). Suppose i + 4*s = 3*i - 16, 0 = -v*i - s + 32. Suppose 0 = m - 27 + i. Is m prime? True Let g = 75 + 254. Is g a composite number? True Suppose -5*z + 1341 = 5*n - 984, -926 = -2*n - 4*z. Is n a composite number? False Let q(g) = 11*g**3 + 5. Is q(4) a prime number? True Let y be ((-10)/6)/(7/(-21)). Suppose 0 = 3*o - 0*o - 2*k - 1223, -2*k = y*o - 2065. Is o prime? False Is (30/24)/((-2)/(-664)) composite? True Suppose -13*k + 6924 = 2257. Is k a composite number? False Let t(o) be the second derivative of o**6/36 - o**5/120 - o**4/12 - o. Let g(s) be the third derivative of t(s). Is g(2) a composite number? True Let s be (13 + -3)*(-14)/(-4). Let r(v) = 9*v**3 - 2*v + 2. Let k be r(2). Let d = k - s. Is d a prime number? False Suppose a + 3*a + 3*p = -23, -4*a = -2*p - 2. Is ((-5)/(-15))/(a/(-402)) a composite number? False Let a = -46 - -28. Let b be 28/(-21)*a/4. Is b/(-3) - -38 - -1 a composite number? False Suppose w + 299 = 2*w. Is w a composite number? True Let i(b) = -14*b - 6. Let f be i(-4). Suppose 8*l - 3*l = -f. Is ((-25)/10)/(1/l) prime? False Is ((-7)/14)/(1/(-446)) composite? False Let p(c) = 55*c - 2. Let z be p(-5). Let j = 456 + z. Is j a composite number? False Let i(v) = -7*v**2 + 6*v - 4. Let m(c) = c**2 + c + 1. Let t(r) = -i(r) - 3*m(r). Is t(6) a composite number? True Let f(w) = w**3 - 15*w**2 - w - 24. Is f(17) composite? True Let p be 3*(14/(-6) + 3). Let d(h) = 3*h**3 - 4 - h + 7*h**p - 2*h**3 - 5 + 4. Is d(-7) composite? False Let j be 2*3/((-6)/(-8)). Suppose -j*g + 4*g = -156. Is g a composite number? True Let i(h) = -110*h + 3. Let u be 3 - 3*(-7)/(-3). Is i(u) prime? True Let y = -17 + 29. Let q = -8 + y. Suppose -q*t + t = -4*m + 160, -58 = -2*m - 4*t. Is m composite? False Let w(x) = 13*x - 6. Let d(j) = j**2 + 1. Let k be d(1). Suppose -k*s + 4 = -s. Is w(s) a composite number? True Let j(q) = 4*q**3 - 10*q**2 - 7*q + 5. Let d(k) = k**3 - k**2 - k - 1. Let y(i) = -5*d(i) + j(i). Is y(-6) composite? True Suppose 4*u + 3*h + 730 = 2*h, 3*u - 2*h = -542. Let v = u - -309. Is v prime? True Suppose -3*m = 315 - 1716. Is m composite? False Let i be (-2)/(-6)*(60 + 3). Let o be ((-28)/12)/((-1)/6). Suppose g - i = o. Is g composite? True Let h = 11 - 7. Suppose 0*v - h*v = -8. Is (v*(-37)/2)/(-1) prime? True Is ((-748)/(-20))/((-2)/(-10)) composite? True Let i(h) = -416*h - 1. Let v = -13 + 12. Is i(v) a composite number? True Let c be 5/(-3) + 3/(-9). Is (67/2)/((-1)/c) composite? False Let o be (1 + 0 - 21)/(-1). Is 50/o*(-332)/(-2) a composite number? True Let d(g) = -g**2 + 9*g. Suppose -11 = 5*l - 41. Let k be d(l). Suppose -m = m - k. Is m a prime number? False Suppose 0 = 8*f - 4*f. Suppose -2*k = 9 + 1, -k - 21 = -4*c. Suppose 3*p + c*o = 87, -4*p + 0*o + 4*o + 144 = f. Is p composite? True Let z(c) = -c**2 + 6*c - 2. Let j be z(5). Suppose -5*n + j*f = -805, 0*n + 5*f - 161 = -n. Is n composite? True Let o be (9*-1)/(-13 - -14). Let j = 58 - o. Is j composite? False Let w(g) = -g**3 - 6*g**2 - 2*g - 8. Let d be w(-6). Suppose -6*k + d*k + 222 = 0. Is k composite? True Let f(n) = n**3 - 3*n**2 + n. Let w be f(3). Suppose j + 3*r = -10 - 15, 0 = w*j + 4*r + 65. Let s = 50 + j. Is s a composite number? False Let c(k) = 45*k**3 + 3*k**2 - 2*k + 3. Let s be c(2). Let g = s - 78. Is g composite? False Suppose s = -2*s + 849. Let w = -26 - -44. Suppose -5*v - w = -s. Is v a prime number? True Suppose -3*g + 5*z - 11 = 13, -4*g - 18 = -2*z. Is (1 - 16)*(g + 2) a prime number? False Suppose 9 = -2*t - 7. Let q(s) = -6*s + 11. Is q(t) a composite number? False Let x = 128 - 90. Suppose a + x = 3*a. Let i = a + -13. Is i prime? False Let g = 7 - 5. Suppose 23 + 32 = 5*l - 5*u, l - 13 = g*u. Let v(i) = 3*i - 8. Is v(l) composite? False Let q = -14 + 17. Suppose -2*g + 4 = 0, 3*g + 24 = 2*y - y. Suppose -q*w + y = -75. Is w prime? False Let n(h) = 9*h**2 - 12. Is n(5) prime? False Suppose 4*h + 1698 = h. Let r = -403 - h. Is r composite? False Let m be -1 + 1/(-1)*-6. Suppose -m*s - 10 = 0, -163 = -3*c - s - 0*s. Suppose -5*o = 1 - 21, -3*o = -i + c. Is i a prime number? True Let v(r) = -9*r - 5 - 18*r - 7*r. Is v(-4) a composite number? False Let c be ((-8)/(-3))/((-4)/(-6)). Suppose c*k - 418 = 346. Is k a composite number? False Suppose -2*i - 29 = -3*u, 4*i + 8 = -4*u - 0*u. Let g = i + 8. Let l = g + 18. Is l a composite number? False Suppose 3*u - 4199 = 9*r - 11*r, 3*u = -4*r + 8401. Is r comp
{ "pile_set_name": "DM Mathematics" }
lculate the remainder when 9430587 is divided by 15. 12 Calculate the remainder when 28551453 is divided by 2181. 2163 Calculate the remainder when 1918048 is divided by 191801. 38 What is the remainder when 21078573 is divided by 11? 10 Calculate the remainder when 11801 is divided by 928. 665 What is the remainder when 16207685 is divided by 771792? 53 What is the remainder when 67273 is divided by 3056? 41 What is the remainder when 8346865 is divided by 566? 63 What is the remainder when 535135656 is divided by 6608? 6600 Calculate the remainder when 133645 is divided by 26728. 5 What is the remainder when 258572 is divided by 3238? 2770 What is the remainder when 16607 is divided by 1576? 847 What is the remainder when 1463202 is divided by 1463147? 55 What is the remainder when 73624 is divided by 36495? 634 Calculate the remainder when 452725 is divided by 1737. 1105 What is the remainder when 22831 is divided by 437? 107 What is the remainder when 44174691 is divided by 40? 11 What is the remainder when 41414 is divided by 1428? 2 What is the remainder when 83411 is divided by 471? 44 Calculate the remainder when 61157 is divided by 138. 23 What is the remainder when 95267 is divided by 47628? 11 Calculate the remainder when 75025 is divided by 1769. 727 What is the remainder when 5680796 is divided by 167079? 110 What is the remainder when 15336941 is divided by 557? 503 Calculate the remainder when 2813845 is divided by 381. 160 What is the remainder when 498037 is divided by 8259? 2497 Calculate the remainder when 4094744 is divided by 9000. 8744 What is the remainder when 1037536 is divided by 1037536? 0 Calculate the remainder when 40062 is divided by 32144. 7918 What is the remainder when 4830973 is divided by 357? 49 Calculate the remainder when 6957867 is divided by 188050. 17 Calculate the remainder when 9619822 is divided by 8. 6 Calculate the remainder when 3044104 is divided by 372. 28 Calculate the remainder when 366937 is divided by 2308. 2273 Calculate the remainder when 14962042 is divided by 7480988. 66 Calculate the remainder when 33158759 is divided by 266. 263 Calculate the remainder when 14752 is divided by 1836. 64 What is the remainder when 6717787 is divided by 48? 43 What is the remainder when 7582996 is divided by 50? 46 Calculate the remainder when 22151460 is divided by 2193. 2160 What is the remainder when 58818 is divided by 762? 144 What is the remainder when 271137963 is divided by 2978? 2975 Calculate the remainder when 1307824 is divided by 1837. 1717 Calculate the remainder when 244701315 is divided by 181. 175 What is the remainder when 36266 is divided by 12000? 266 What is the remainder when 140543 is divided by 1079? 273 Calculate the remainder when 777142 is divided by 97061. 654 What is the remainder when 45347 is divided by 1134? 1121 Calculate the remainder when 21743 is divided by 4325. 118 What is the remainder when 2244484 is divided by 1685? 64 Calculate the remainder when 88238393 is divided by 1886. 1883 What is the remainder when 9327047 is divided by 321617? 154 What is the remainder when 1628462 is divided by 277? 256 Calculate the remainder when 1507240 is divided by 9. 1 Calculate the remainder when 1378652 is divided by 459550. 2 Calculate the remainder when 64474 is divided by 660. 454 Calculate the remainder when 57130949 is divided by 1128. 5 Calculate the remainder when 24789 is divided by 7869. 1182 Calculate the remainder when 2690091 is divided by 11. 8 What is the remainder when 5334679 is divided by 7482? 13 What is the remainder when 100731 is divided by 16772? 99 Calculate the remainder when 8919467 is divided by 2973149. 20 Calculate the remainder when 343348 is divided by 765. 628 What is the remainder when 369497 is divided by 5842? 1451 What is the remainder when 3148615 is divided by 4844? 15 What is the remainder when 138030 is divided by 27519? 435 What is the remainder when 564148 is divided by 6479? 475 What is the remainder when 22421553 is divided by 144655? 28 Calculate the remainder when 338138 is divided by 1162. 1158 What is the remainder when 29944032 is divided by 9485? 9372 Calculate the remainder when 862706 is divided by 1896. 26 Calculate the remainder when 1230793 is divided by 1332. 25 Calculate the remainder when 15010749 is divided by 3752686. 5 Calculate the remainder when 9539 is divided by 8824. 715 What is the remainder when 4327543 is divided by 135235? 23 Calculate the remainder when 20058261 is divided by 188. 165 What is the remainder when 8345081 is divided by 69? 14 What is the remainder when 1613709 is divided by 300? 9 What is the remainder when 945293 is divided by 2246? 1973 What is the remainder when 196044 is divided by 1497? 1434 What is the remainder when 46723 is divided by 2952? 2443 Calculate the remainder when 22970581 is divided by 45758. 65 What is the remainder when 2042747 is divided by 143? 135 What is the remainder when 2507507 is divided by 7739? 71 Calculate the remainder when 789479 is divided by 1086. 1043 Calculate the remainder when 18616742 is divided by 617. 1 What is the remainder when 2321750 is divided by 37447? 36 Calculate the remainder when 4938644 is divided by 987727. 9 What is the remainder when 27316279 is divided by 13658136? 7 Calculate the remainder when 31319 is divided by 6232. 159 Calculate the remainder when 1665492 is divided by 832743. 6 What is the remainder when 74041 is divided by 133? 93 What is the remainder when 355575679 is divided by 235? 234 What is the remainder when 7884160 is divided by 35? 25 Calculate the remainder when 191685 is divided by 95838. 9 What is the remainder when 5628935 is divided by 10069? 364 Calculate the remainder when 184954 is divided by 4256. 1946 Calculate the remainder when 956340 is divided by 644. 0 Calculate the remainder when 4924657 is divided by 6110. 6107 What is the remainder when 15867449 is divided by 26? 13 Calculate the remainder when 1562621 is divided by 1079. 229 What is the remainder when 83757 is divided by 40566? 2625 Calculate the remainder when 17745 is divided by 1109. 1 Calculate the remainder when 14948485 is divided by 2491375. 235 What is the remainder when 276010599 is divided by 6? 3 What is the remainder when 61707 is divided by 29561? 2585 Calculate the remainder when 672542 is divided by 504. 206 Calculate the remainder when 128187625 is divided by 19908. 13 Calculate the remainder when 9900062 is divided by 4533. 4523 Calculate the remainder when 3867573 is divided by 34. 5 What is the remainder when 60305766 is divided by 6389? 6384 What is the remainder when 986261 is divided by 96? 53 What is the remainder when 692603135 is divided by 256? 255 What is the remainder when 97416834 is divided by 81? 78 What is the remainder when 588536 is divided by 196061? 353 What is the remainder when 2053730 is divided by 224? 98 What is the remainder when 240712 is divided by 295? 287 Calculate the remainder when 2109496 is divided by 2109483. 13 Calculate the remainder when 1577197 is divided by 1654. 935 Calculate the remainder when 120583 is divided by 1750. 1583 Calculate the remainder when 3693898 is divided by 369388. 18 What is the remainder when 192559 is divided by 32093? 1 What is the remainder when 446303 is divided by 444229? 2074 Calculate the remainder when 258355363 is divided by 4. 3 What is the remainder when 868121 is divided by 111? 101 What is the remainder when 80087 is divided by 1383? 1256 What is the remainder when 2626109 is divided by 684? 233 Calculate the remainder when 242599 is divided by 902. 863 Calculate the remainder when 15480358 is divided by 105. 103 Calculate the remainder when 7485706 is divided by 37242. 64 Calculate the remainder when 8853566 is divided by 43. 38 Calculate the remainder when 35032 is divided by 2055. 97 Calculate the remainder when 25117789 is divided by 784. 781 What is the remainder when 280478 is divided by 280437? 41 What is the remainder when 26217267 is divided by 10? 7 Calculate the remainder when 2814816 is divided by 961. 47 What is the remainder when 27614845 is divided by 198? 181 Calculate the remainder when 51421964 is divided by 268. 0 Calculate the remainder wh
{ "pile_set_name": "DM Mathematics" }
c(25). Let s = y + j. What is the remainder when 53 is divided by s? 15 Let i = 360 - 295. Calculate the remainder when 5393 is divided by i. 63 Suppose 0 = -4*f + 3*v + 90, 0 = -4*f + 4*v + 101 - 13. Suppose -5723*x + 5367*x + 25276 = 0. Calculate the remainder when x is divided by f. 23 Suppose 5*j + 2*a - 172 - 413 = 0, -5*j + 585 = 4*a. What is the remainder when 1637 is divided by j? 116 Calculate the remainder when -4 - ((-2)/(-28) + 61975/(-350)) is divided by 26. 17 Suppose 0 = 8*b + 2 + 46. Let k(i) = i**2 - 10*i - 10. Calculate the remainder when k(b) is divided by 18. 14 Suppose 309*j + 4032 = 330*j. What is the remainder when 2692 is divided by j? 4 Let z(w) = -10*w + 11. Let h be z(8). Let q = 43 + h. Let f = q - -34. What is the remainder when 55 is divided by f? 7 Suppose -5*a = 467 - 637. Let p = 113 - 60. Calculate the remainder when p is divided by (-5)/((-4 + 10)/6) + a. 24 Let a(m) = -m**3 + 7*m**2 - 6*m + 5. Let i be a(4). Suppose i = 2*k - 3*z, 4*k + k - 20 = -3*z. Calculate the remainder when 25 is divided by k. 4 Let x = 73 - 42. Suppose -4*c = 5*v - x, 0*v - 5*v + 2*c = -7. Suppose -z + o + 53 = z, v*o - 105 = -5*z. What is the remainder when 69 is divided by z? 21 Let d(u) = -u**2 + 18*u + 25. Let p be d(19). Let i(o) = 2*o**2 + o - 43. What is the remainder when i(p) is divided by 28? 7 Suppose 2*x + 12 = -2*x. Let d = 1 - x. Let l = 793 - 782. What is the remainder when l is divided by d? 3 Suppose -y - 281 = -2*n + 46, 0 = -5*n + 4*y + 813. Calculate the remainder when 213 is divided by n. 48 Suppose -5*r = -5*d - 6355, 2*r + 3*d - 903 = 1609. Calculate the remainder when r is divided by 120. 65 Let n(t) = -5 - t**3 + 3*t**2 - 3*t + 5*t**2 + t**2 + 4*t. What is the remainder when n(7) is divided by 32? 4 Calculate the remainder when 4/2*(-3528)/(-112) is divided by 49. 14 Calculate the remainder when (-2266)/66*(-60)/5 is divided by 49. 20 Suppose 0 = -5*k - 13*h + 61234, 3*k + 61180 = 8*k - 5*h. Calculate the remainder when k is divided by 24. 23 Suppose -8*x + 128 = -32. Suppose -54*u + x = -50*u. Calculate the remainder when 14 is divided by u. 4 Let t(s) = -s**2 + 7*s + 59. Let i be t(11). Suppose 0 = i*a - 79 + 4. Calculate the remainder when 17 is divided by a. 2 Suppose 4*k = -10*k + 1596. Suppose 0 = -7*p - 2 + k. Calculate the remainder when ((-160)/(-24))/(2/9) is divided by p. 14 Let x = 7 + -3. What is the remainder when ((-671)/(-22) - 14)*2 is divided by x? 1 Suppose 0 = -37*m + 19 - 93. Calculate the remainder when 175 is divided by (((-500)/6)/10 + m)*-3. 20 Let g(n) = -n**3 + 28*n**2 - 25*n + 23. Suppose 0 = -66*i + 53*i + 351. What is the remainder when g(i) is divided by 16? 13 Suppose 84 = d - 3*o - 22, -5*d - 5*o + 530 = 0. Calculate the remainder when 199 is divided by d. 93 Let n(u) = 60*u**3 + 149*u**2 - 925*u + 26. Calculate the remainder when n(6) is divided by 97. 93 Suppose 3*h = 4*h + 5*a + 17, -3*a = 9. Let f = h + 14. Let b(u) = -u**3 - 4*u**2 + 7*u - 4. Calculate the remainder when b(-7) is divided by f. 10 Let w = -29181 + 29285. What is the remainder when 2391 is divided by w? 103 Suppose 26*w = 775 + 707. Calculate the remainder when 295 is divided by w. 10 Let n(y) = -y**2 + 21*y - 23. Suppose 32*s - 49 = 527. What is the remainder when n(s) is divided by (-100)/(-6) - 2/(-6)? 14 Let b be -4 - ((-8)/4)/(5 + -4). Calculate the remainder when 93 is divided by (40/200)/(b/(-190)). 17 Let r(m) = 2*m**2 + 9*m - 131. What is the remainder when 1619 is divided by r(-14)? 134 Suppose 4*s = -2*w + s + 29, -s - 64 = -5*w. Suppose 1364 - 12 = w*x. Calculate the remainder when x is divided by 10*(-2 - (-7)/2). 14 Let d(o) = -34*o + 835. Calculate the remainder when d(20) is divided by 20. 15 Suppose -5*j + 134 = -91. Calculate the remainder when j is divided by 6/19*(-1261 - -1280). 3 Let w = -8716 + 8857. Calculate the remainder when 1414 is divided by w. 4 Let i = -3031799 + 3031808. Let h(b) = -41*b. Let w be h(-5). Suppose o = -4*s + 3*o + 206, -4*s = -o - w. What is the remainder when s is divided by i? 6 Let p = 4172 - 3940. Calculate the remainder when 516 is divided by p. 52 Suppose a + 2 = -3, -2*n + 2*a = -16. Suppose 0 = -n*f + 3*p + 213, -4*p + p = f - 51. Calculate the remainder when f is divided by 37. 29 Let u(p) = p**3 + 17*p**2 + p + 24. Suppose w + 33 = -0*w - 3*m, -2*m + 28 = -w. Let t = 13 + w. Calculate the remainder when 20 is divided by u(t). 6 Let q(s) = -s**3 + 2*s**2 + s - 206. Let c be q(0). Let h = 374 + c. What is the remainder when h is divided by 34? 32 Let a = 7 - -117. Let u = a - 25. Calculate the remainder when u is divided by (-582)/(-12) + (-6)/(-4). 49 Suppose 0 = -31*m + 298 + 105. What is the remainder when 37 is divided by m? 11 Let u(l) = 73*l**3 + 4*l**2 + 8*l - 44. What is the remainder when u(3) is divided by 153? 151 Let a(r) = r**3 - 9*r**2 - 23*r + 32. What is the remainder when -213*((-18)/(-18) + (-8)/6) is divided by a(11)? 8 Suppose -2*m - 2*m = -72. Let l(z) = -z + 26. Let t be l(10). Suppose -25*k + 297 = -t*k. What is the remainder when k is divided by m? 15 Let h = 2786 - 2551. Calculate the remainder when h is divided by 78. 1 Let s be (-2)/(-3) + 2560/12 + -2. Suppose 10*u = 6*u + s. Suppose -100 = u*o - 58*o. Calculate the remainder when o is divided by 11. 9 Suppose 4*t = 6*t + 16. Let s(a) = -a**2 - 9*a - 4. Let n be s(t). Suppose -n = -4*z + 64. What is the remainder when z is divided by 8? 1 Suppose 3*g - 3*f = 178 + 296, 0 = -3*f. Suppose 82 = -2*y + g. Suppose 2 = -2*a, -i - 2*a + 66 = 3*a. Calculate the remainder when i is divided by y. 33 What is the remainder when (652/(-17))/(132/(-1122)) is divided by 88? 62 Let x = -101285 - -101343. Suppose 5*i = -3*n + 94, -5*i + 6 + 84 = 5*n. Calculate the remainder when x is divided by i. 18 Let j(c) = 3*c**2 - 19*c - 9. Let a be j(15). Let d = -371 + a. Calculate the remainder when 59 is divided by d. 9 Let n = -1838 - -2493. Calculate the remainder when n is divided by 66. 61 Suppose -4*w + 76 = -2*i, i + 26 = -4*w + 108. Let g = 6 - -8. Let y = g + -3. What is the remainder when w is divided by y? 9 Let t(c) = 5*c**2 + 11*c + 104. Let g be t(-10). Suppose 20*s = g + 5946. Calculate the remainder when s is divided by 25. 22 Suppose -5 = q, -81 = -2*w - 119*q + 122*q. What is the remainder when 1811 is divided by w? 29 Let a be ((2*-1)/(36/(-72)))/(-1). Calculate the remainder when 142 is divided by (-2368)/224*14/a. 31 Let c = 454 - 238. Suppose d - 123 = -3*v, -c = -2*d + v + 30. What is the remainder when d is divided by 14? 11 Suppose 456*r - 12627 = 395*r. Calculate the remainder when 1666 is divided by r. 10 Suppose -2*b + 4*q + 375 - 139 = 0, -2*q = 5*b - 578. What is the remainder when b is divided by 25? 16 Let t be ((1/1)/(-3))/((-1)/6). Let f be -31*t - (-11 + 9). Let b = 73 + f. What is the remainder when 33 is divided by b? 7 Let y(m) = -m - 1. Let x be y(9). Let z = -11447 + 11481. What is the remainder when z is divided by -3*6/(-9) - x? 10 Suppose -53*k + 346 = -2781. Suppose 4*h = 0, -61*a + k*a = 2*h - 44. Calculate the remainder when 74 is divided by a. 8 Let c be (-4 - (-2 + -2))/((-2)/(-1)). Suppose c*u - u = -2*s - 29, 0 = u + 5*s - 50. What is the remainder when 138 is divided by u? 33 Let b(m) = 3*m**2 + 104*m + 404. Suppose 0 = -i + 2*i - 3. Suppose 3*h = h + i*a + 81, 0 = 4*h - 5*a - 157. What is the remainder when b(-31) is divided by h? 30 Let m be 90 + (-5 - 0) + -2. Suppose -14*u + m = -13*u - 2*q, -3*q + 3 = 0. Calculate the remainder when u is divided by 22. 19 Let o(s) = 16*s + 59. Let j = 386 - 383. Calculate the remainder when o(j) is divided by 32. 11 Let k(w) = 46*w - 69. Let l(y) = -93*y + 142. Let d(m) = -9*k(m) - 4*l(m). Calculate the remainder when d(-1) is divided by 20. 15 Suppose p = -3*l + 229, -5*p + 860 = -p - 2*l. Calculate the remainder when p is divided by 9. 1 Suppose -5*q - 2*x = -4*x - 8, 0 = -4*q + 4*x + 16. Let p be (q + -6)/((-6)/4). Calculate the remainder when 374/p + (-36)/(-24) is divided by 32. 31 Let w(s) = 2*s + 1. Let i(u) = -28*u - 102. Let h(y) = i(y) + 5*w(y). What is the remainder when 81 is divided by h(-6)? 4 Let l(w) = 7*w**2 - 37*w + 34. Calculate the remainder when 278 is divided by l(9). 10 Suppose -72*o +
{ "pile_set_name": "DM Mathematics" }
(s(c)). -245*c**2 Let z(c) = 114*c - 3. Let q(y) = 3*y**2. Calculate z(q(t)). 342*t**2 - 3 Let i(q) = 2*q**2. Let g(w) be the first derivative of -817*w**2/2 - 578. What is g(i(z))? -1634*z**2 Let o(m) = -47*m**2 + 2. Let t(u) = -240 + 240 + 2*u. What is o(t(l))? -188*l**2 + 2 Let z(g) = 434*g. Let a(k) be the first derivative of -k**3/3 + 47. Give z(a(f)). -434*f**2 Let n(h) be the third derivative of 1/4*h**4 + 0*h**3 + 0*h + 0 + 4*h**2. Let f(d) = 0*d**2 - 2*d**2 + 3*d**2. Give f(n(j)). 36*j**2 Let s(i) = -5*i. Let d(u) = 37072*u. Determine d(s(q)). -185360*q Let w(y) = -206*y - 170*y + 377*y. Let n(s) = 14*s**2 + 4*s - 1. Let c(h) = -28*h**2 - 7*h + 2. Let v(g) = -4*c(g) - 7*n(g). What is v(w(i))? 14*i**2 - 1 Let u(b) be the third derivative of b**5/10 + b**2 - 67*b. Let m(k) = 3*k. Give u(m(y)). 54*y**2 Let f(o) = -16*o**2. Let i(a) = 1479*a - 1. Calculate f(i(x)). -34999056*x**2 + 47328*x - 16 Let u(k) = 4*k - 2. Let g(i) = -17*i + 9. Let x(r) = -2*g(r) - 9*u(r). Let y(b) = -2*b - b - 6*b - 2*b + 2*b. Calculate x(y(t)). 18*t Let a(v) = -2*v**2 - 4*v + 16. Let f(k) = k**2 + 3*k - 12. Let r(c) = -3*a(c) - 4*f(c). Let o(g) = g**2 - 3*g**2 - g**2. Calculate r(o(b)). 18*b**4 Let n(b) = 3*b**2. Let t = 42 - 41. Let f(m) be the first derivative of -1/2*m**2 + t + 0*m. Determine f(n(i)). -3*i**2 Let k(z) = 2*z. Suppose -n + 0 = -5. Suppose 13*v - 14*v = -n. Let r(a) = 0 - 5 - 23*a + v. What is k(r(g))? -46*g Let p = 13 - 3. Suppose 0*k + p = 5*k. Let m(q) = 36*q**2 - 20*q**k - 14*q**2. Let d(a) = -10*a. Determine m(d(h)). 200*h**2 Let v(k) = 2*k**2. Let s(u) = -11*u. Let o(w) = 2*w. Let l(t) = 18*o(t) + 2*s(t). Let a(q) = -3*q. Let d(b) = 11*a(b) + 2*l(b). Calculate v(d(g)). 50*g**2 Let n(d) = 2 + d - 2. Let a(q) be the first derivative of -q**5/60 - 6*q**3 - 7. Let s(v) be the third derivative of a(v). What is n(s(x))? -2*x Let a(b) = 2*b. Let w be (-3 - -3)/(4 + -3). Let q(r) = -3*r + 2*r + w*r - 6*r. Calculate a(q(f)). -14*f Let s(z) = 5*z**2. Let a(j) = -2*j. Let o(u) be the third derivative of -u**4/12 + 5*u**2. Let t(n) = 6*a(n) - 5*o(n). Give s(t(g)). 20*g**2 Let h(u) = 81*u + 2. Let m(f) = -1. Let z(c) = c**2 - 4. Let g(r) = 4*m(r) - z(r). Determine h(g(i)). -81*i**2 + 2 Let x(a) = 3*a + 5. Let y(w) = 6*w + 9. Let d(q) = -9*x(q) + 5*y(q). Suppose -6*o + 3*o + 6 = 0. Let c(i) = 83 + o*i - 83. What is c(d(v))? 6*v Let g(n) = -4*n. Let c(j) = j. Let h(o) = 3*c(o) - g(o). Let x(t) be the third derivative of -35*t**2 + 0*t**4 + 0*t**3 + 0 + 1/60*t**5 + 0*t. Give x(h(d)). 49*d**2 Let l(z) be the first derivative of z**3 + 2*z**2 + 2. Let w(p) = -4*p**2 - 5*p. Let s(f) = 5*l(f) + 4*w(f). Let g(k) = -12*k. Calculate s(g(n)). -144*n**2 Let g(d) = -20*d**2 - 2*d. Let y(w) = -481*w + 953*w - 468*w. Give y(g(h)). -80*h**2 - 8*h Let c(o) = -90*o**2 + 613*o. Let p(h) = 2*h. What is p(c(a))? -180*a**2 + 1226*a Let y(t) = 4*t**2. Suppose -6 = -5*f + 3*f. Let p(g) = f - 3 + 8*g - 6*g. Give y(p(q)). 16*q**2 Let t(p) = 3*p - 635. Let l(d) = -325*d. Determine l(t(r)). -975*r + 206375 Let p(u) = 9*u**2 + 4*u. Let q(n) = 35*n**2 + 15*n. Let a(w) = -15*p(w) + 4*q(w). Let k(h) = -37*h**2. What is k(a(y))? -925*y**4 Let r(i) = 7*i**2 + 9. Let g(f) = -7*f**2 - 12. Let v(t) = 3*g(t) + 4*r(t). Let l(s) = 3*s + 0*s - 2*s. Give l(v(u)). 7*u**2 Let b(n) = -n**2. Let l(d) = -1 - 172*d + 172*d + 103*d**2. Give b(l(j)). -10609*j**4 + 206*j**2 - 1 Let f(d) = 5*d. Suppose 5*g - 6*g + 122 = 0. Suppose 4*y - 244 = 4*o, 0*y = 2*y - 4*o - g. Let a(i) = -y*i + 33*i + 28*i + 3*i**2. Determine f(a(q)). 15*q**2 Let z(p) = -299*p. Let b(y) = 2*y - 1. Let m(i) = -19*i + 9. Let x(v) = 9*b(v) + m(v). Give x(z(w)). 299*w Let z(p) = 97*p**2 - 4*p - 8. Let y(n) = 486*n**2 - 21*n - 42. Let s(x) = -4*y(x) + 21*z(x). Let o(h) = 2*h**2. Calculate o(s(u)). 17298*u**4 Let z(p) be the second derivative of 0 + 0*p**2 + 2*p + 0*p**3 + 1/6*p**4. Let m(j) be the second derivative of j**3/3 + 3*j. Determine m(z(w)). 4*w**2 Let s(y) = -y**2. Let t(a) be the third derivative of a**6/120 - a**3 + 4*a**2. Let r(n) be the first derivative of t(n). What is r(s(c))? 3*c**4 Suppose -5*d = -14*d - 7*d. Let o(x) be the second derivative of 6*x + 5/6*x**4 + 0*x**3 + 0*x**2 + d. Let s(y) = y. Determine s(o(q)). 10*q**2 Let l(n) = n**2. Let q = -4 - -10. Let r(a) = -20*a + 1 - 1 + q*a. Give r(l(w)). -14*w**2 Let t(v) = -27*v**2. Let z(k) be the first derivative of 1/24*k**4 + 7/2*k**2 + 11 + 0*k**3 + 0*k. Let m(n) be the second derivative of z(n). What is m(t(b))? -27*b**2 Let a(f) = -38324*f. Let j(m) = 39*m**2. Give a(j(g)). -1494636*g**2 Let x(s) = -46*s. Let k(v) = -v**2 - 10*v + 5. Let a(o) = -2*o + 1. Let z(w) = 30*a(w) - 6*k(w). What is z(x(p))? 12696*p**2 Let l(s) = s. Let r be -2*-2*2/4. Let j(t) = t**r + t**2 - t**2. Give l(j(a)). a**2 Let q(j) be the second derivative of -j**4/6 - 12304*j. Let t(b) = -6*b + 2*b**2 - b + b. Calculate t(q(i)). 8*i**4 + 12*i**2 Let l(n) = -74*n**2. Let s(t) = 28*t + 18. Let p(g) = 79*g + 51. Let v(a) = -6*p(a) + 17*s(a). What is l(v(f))? -296*f**2 Let k(p) be the third derivative of 31*p**5/60 - 35*p**2 - 4. Let y(b) = -15*b**2. Give k(y(v)). 6975*v**4 Suppose 5*y + 5 = 5*n, 2*n - 16 = y - 6*y. Let o(g) = 3*g**y - 3 + 3. Let i(q) be the first derivative of -q**2 + 203. Determine i(o(c)). -6*c**2 Let z(a) = 2*a. Let w(c) be the third derivative of 0*c + 0*c**3 - 9*c**2 + 1/12*c**4 + 0. Give w(z(x)). 4*x Let r(q) = 3 - 11 + 8 - 4*q**2. Let c(p) = 32*p + 1. Determine c(r(i)). -128*i**2 + 1 Let s(h) = 2*h**2 - 7*h. Let v = 9 + -7. Let u(r) = -r**2 + r. Let m(c) = v*u(c) - s(c). Let d(o) = 2*o**2. Determine d(m(f)). 32*f**4 - 144*f**3 + 162*f**2 Let l(v) = v**2 + 11*v - 5. Let i be l(-13). Let x = i + -19. Let t(k) = 2*k + 0*k + x*k - 8*k. Let j(a) = a. Calculate t(j(g)). -4*g Let a(x) = -19*x - 2. Let y be (2/(4 - 2))/(20/60). Let z(c) = -26*c**2 - 3*c + y*c + 24*c**2. Calculate z(a(u)). -722*u**2 - 152*u - 8 Let p(z) = 5*z. Let h(m) be the second derivative of -5*m + 0 + 0*m**3 - 5/12*m**4 + 0*m**2. Give h(p(d)). -125*d**2 Let k(s) = 2*s**2 - 2*s**2 - 2*s**2 + 4*s**2. Let j(x) = -40*x - x - 20*x - 19*x. Calculate k(j(c)). 12800*c**2 Let z(n) = 4*n**2 + 352419*n. Let c(i) = i. Give c(z(u)). 4*u**2 + 352419*u Suppose -j - j = -q - 2, 2*j - 2*q + 2 = 0. Let d(z) be the first derivative of 8 - 8/3*z**j + 0*z**2 + 0*z. Let m(s) = -s**2. Determine m(d(x)). -64*x**4 Let i(l) = 3*l - 8. Let b(s) = s + 2. Let q(u) = -2*b(u) + i(u). Let z(m) = 2*m**2. Calculate z(q(o)). 2*o**2 - 48*o + 288 Let y(l) be the first derivative of 15*l**3 - 274. Let v(u) = 2*u - u + u. Calculate y(v(n)). 180*n**2 Let r(j) = 7*j. Let o(m) = -115*m**2 - m + 56. Give o(r(y)). -5635*y**2 - 7*y + 56 Let y(h) = -4*h**2. Let w(k) = 48*k + 76. Give w(y(o)). -192*o**2 + 76 Let g(r) = -r. Let t(q) be the first derivative of 25*q**4/12 + 35*q - 1. Let f(y) be the first derivative of t(y). Give f(g(d)). 25*d**2 Let s(l) be the second derivative of -l**4/4 + l. Let q(p) = p + 6. Let m be q(-5). Let h(y) = 0 + m - 1 - 2*y**2. Give s(h(d)). -12*d**4 Let a(s) = -7*s**2 + 83*s. Let r(b) = 2*b + 3. What is a(r(u))? -28*u**2 + 82*u + 186 Let o(t) = -35*t**2. Let r(w) = -1919*w**2. What is o(r(u))? -128889635*u**4 Let z(v) = 2522*v. Let g(n) = -76*n - 1. What is z(g(k))? -191672*k - 2522 Let t(x) = 5*x**2. Suppose -6*w + 4*w - 28 = -4*q, -2*w - 33 = -5*q. Let a(r) = -q*r**2 + 2 + 7*r**2 - 2. What is t(a(b))? 20*b**4 Let s(w) = 1813966*w. Let d(j) = 2*j. Give d(s(p)). 3627932*p Let a(x) = -2*x**2. Let m(q) = 1. Let v(u) = -4 - 3 + 9*u + 2. Let j(l) = -5*m(l) - v(l). What is j(a(g))? 18*g**2 Let m(p) = 813*p**2. Let h(i) = -i + 20. Determine h(m(a)). -813*a**2 + 20 Let j(y) = -11*y - 11*y - 11*y + 22*y - 2*y. Let q(r) = -10*r**2. What is q(j(h))? -1690*h**2 Suppose 5*g + 4*u = -u - 360, -4*u = -2*g - 174. Let c = g + 311. Let j(h) = 234*h - c*h + 2*h**2. Let b(w) = 7*w**2. Give b(j(s)). 28*s**4 Let n(d) = -3*d. Let j(q) = -10*q. Let s(y) = j(y) - 3*n(y). Let b(i) = 451*i**2. Give b(s(w)). 451*w**2 Let q(h) = h. Let g(r) = 650582*r**2. What is g(q(i))? 650582*i**2 Let j(x) = 362*x - 182*x - 181*x. Let n(v) = -165*v**2 - 2*v. Determine n(j(f)). -165*f**2 + 2*f Let s(g) = -4*g - 3. Let d(i) = -6*i**2 + 9*i**2 + 2*i**2 - 2*i**
{ "pile_set_name": "DM Mathematics" }
Is 39 bigger than h? True Suppose -t - 3*h - 121 = 0, 211*h - 209*h + 126 = -t. Is 10 at most as big as t? False Let u = 138 - 152. Let i be 4/u*(525/10)/(-15). Is 8/27 greater than i? False Let x be -2 - (-5 + 10 + -6). Let g be -1 - (10/5 + x - 8). Is g at most as big as 6? True Suppose -5*i = 2*k - 957 + 6125, 12886 = -5*k - 4*i. Let w be (-33)/297 - 322/k. Suppose 2*r = 3*r. Is r at least w? False Let r be (-484)/1210 + 2444/(-3015) - (-8)/18. Which is smaller: 0 or r? r Let r = 61 + -57. Let l be 90/81 - r/(-18). Let n = 1 + -0.6. Is n < l? True Suppose f - 5 + 0 = 0, -5*c + f = -35. Let z(b) = -b + 17. Let g be z(c). Let t be -2*g/12 + (-6)/(-8). Which is greater: 6 or t? 6 Let x be 20/55 - (-5589)/(-33). Let z = x - -160. Which is bigger: z or -83/8? z Suppose -4*w - 1 = 3*d + 147, 3*d = 0. Let a(z) = -2*z**3 - 73*z**2 + 37*z - 73. Let n be a(w). Is -291/4 less than or equal to n? False Let o be 8/(-18) - (-1212)/54. Suppose o = 2*s + 9*s. Does s = -4? False Suppose 0 = -3*z - h - 224, -4*h = -0*z + 2*z + 156. Let j be 8/52 - z/26. Suppose -1 = j*y + 2. Are y and 3 equal? False Let o(c) = -16*c**3 - 4*c**2 - 2*c + 2. Let f be o(-4). Let h be ((-5)/f + 0)*(-8)/6. Is 0 >= h? False Let p = 47022 - 47002.7. Is p < -40? False Let c = 24 - 11. Let w(i) = -i**3 + 12*i**2 + 12*i + 6. Let m be w(c). Suppose 3*l = -x + l - 11, -2*x = -5*l + 13. Does x = m? False Let j = -4411 - -10385. Is 5976 at most j? False Let n(x) = -55*x - 100. Let r be n(-4). Let g = -132 + r. Which is greater: g or -13? g Let f(o) = -6*o**3 - 9*o**2 - 2*o + 6. Let b be f(-5). Which is greater: b or 540? b Suppose -48*a + 3*i = -44*a - 264, 0 = -2*a - 2*i + 118. Let t be ((-1872)/(-10))/3 + (-30)/75. Which is bigger: t or a? a Let x be -1 - 17 - (345/(-23) + 15). Is -245/13 at least x? False Let x = -49.1 - -49. Let s be -4 - -3*(-200)/(-148). Which is bigger: s or x? s Let d(p) = 3*p - 14. Let i be d(6). Let f be ((-5)/30)/(i/(-132)). Let g(w) = -2*w**3 + 9*w**2 - 5*w + 11. Let y be g(4). Is y less than f? False Let s = 0.14573 - 1094.14573. Are s and -1 non-equal? True Let y(x) = 4*x**2 + 13*x + 16. Let w be y(-9). Let m = -1087/5 + w. Are 7 and m nonequal? True Let b(n) = -6*n**2 - n + 48. Let j be b(-8). Let q = -232 - j. Let w(l) = 3*l**2 + l - 7. Let f be w(-6). Is f less than q? True Let b be (-96)/224 - 62/35. Which is bigger: b or -11? b Let v = -543.5 + 548. Let u = -5.5 + v. Let b = -59 + -14. Which is smaller: u or b? b Let j = -2535 + 195199/77. Suppose 0 = 4*q - 16, 2*n + 8*q = 12*q - 14. Does j = n? False Let d = -3 + -26. Let v = d - -20. Let n = -3.36 - -0.36. Is n != v? True Let c(h) be the first derivative of -2*h**3/3 - h**2/2 - 4*h + 30. Let f be c(0). Let p be 2/10 + (-884)/195. Is p != f? True Let z be -6 - (27896 + -17)/3. Are z and -9298 nonequal? True Let q = -898 + 589. Let m = -313 - q. Which is bigger: m or 0.17? 0.17 Let h be (-152)/(-15) - 20/(-30). Let n(q) be the first derivative of -5*q**2/2 - 14*q - 13. Let o be n(-5). Is h > o? False Let b = -16140 + 68115/4. Which is smaller: 890 or b? b Let y = 1562072614/567 - 2754979. Let j = 1/81 - y. Is 28 at most j? False Let m(t) = t**2. Let w(z) = 3*z**2 - 20*z + 110. Let n(h) = 2*m(h) - w(h). Let a be n(6). Is a > -7? False Let k(a) = -a**3 - 117*a**2 - 29*a - 3405. Let x be k(-117). Let w = 222/13 + -717/26. Is x not equal to w? True Let t be 12/36*6/1. Let c be (-6)/(-6) - t*(-1 + -2). Let h be (-3)/c*16/(-192). Which is smaller: h or 0? 0 Suppose 64*z - 54*z - 180 = 0. Suppose z*l - 322 = 866. Which is greater: 65 or l? l Let x = -43.8354 + 43.75. Are x and -1 unequal? True Let x(r) = -18*r - 47. Let q be x(6). Suppose -36*k - 2889 - 2691 = 0. Is q less than k? False Let i = 32.8 - 43. Let x = 10.8 + i. Let w = -38 - -39. Is w at least x? True Let y = 4851767/1968 - 7396/3. Let l = -24025 - -24026. Which is bigger: y or l? l Let d be (-105021)/14 + 99/18. Which is bigger: -7497 or d? d Let b be -6*22/(-11)*6. Let a(n) = n**3 - 11*n**2 + 7*n - 4. Let d be a(11). Is b at most d? True Let l be ((-35910)/350)/(3/(-30)). Do l and 1025 have the same value? False Let r be (-3)/(-1275)*(-3665)/(-10). Let p = r - 13/34. Let c(l) = -88*l + 175. Let d be c(2). Which is smaller: p or d? d Suppose 3*u - x = 50, 2*x = -3*u + 2*u + 5. Suppose -10*l - 522 + 672 = 0. Is u > l? False Let f = 29548 - 26277. Is f <= 16361/5? True Suppose -5*x - 9 = 2*j, 5*x + 789*j + 2 = 788*j. Is x < -78/229? False Let l(v) = -v**2 + 2*v + 1 - 2 + 3*v. Let i be l(4). Let w = 4113/2744 - -3/2744. Is i > w? True Let r(c) = -c**2 - 6*c - 6. Let z be r(-4). Let g = -20 + z. Suppose -532 - 104 - 1036 = 88*l. Is l != g? True Let l = -0.218 - -1.278. Let b = -1.94 - l. Which is smaller: b or 0.8? b Suppose 35*m = -12*m + 94. Suppose -5*p + 20 = 60. Let u(f) = f**3 + 9*f**2 + 9*f + 17. Let y be u(p). Is m bigger than y? False Let c = 44 + -16. Let n be (21/c)/(-1 + (-34)/(-32)). Let z(h) = h. Let m be z(n). Are m and 37/3 equal? False Suppose 0 = -5*d - 4*b - 9 + 40, -24 = -4*d - 3*b. Let p be (2 + (-14)/4)*(-16)/d. Suppose 0 = p*j - 6*j + 2. Is -8/9 at most j? False Suppose 373 + 83 = 76*f. Let b(v) = -v + 6. Let s be b(6). Suppose -w + 15 = 4*h - s*h, 1 = -w. Is h less than or equal to f? True Let n be 58/522 - (-28)/(-9). Let b be (6/10 - 1)*-5. Suppose -x = b*x. Is x smaller than n? False Suppose 7 = -u + 39. Let c = -840 + 872. Are c and u nonequal? False Suppose 0 = 4*m + 5*d - 133, 88 = 4*m + 14*d - 18*d. Suppose 32*g = m*g - 590. Which is smaller: -116 or g? g Let i be (-6)/4 - 182/(-28). Suppose -t - 23 = -i*v, 5*t + v - 2*v + 19 = 0. Which is smaller: 9 or t? t Let r = -212 - -213.69. Which is smaller: 0.2 or r? 0.2 Suppose -103 = 5*m + 27. Which is greater: 24 or m? 24 Let k(a) be the third derivative of a**5/60 - a**4/4 + 5*a**3/6 + 14*a**2. Let t be k(5). Let f be t/(3 + -5 + 0). Which is smaller: f or 1? f Let a(q) = q**3 - 101*q**2 - 207*q + 76. Let y be a(103). Let u be 5/3*3/1. Suppose o + 2*o - l + 83 = 0, 2*l = -u*o - 120. Which is bigger: o or y? o Suppose -5*i - 26446 = -3*x, 18 = -5*i + 53. Which is greater: 8826 or x? x Let r = 1548.05707 - 0.05707. Is 3 < r? True Let t = 43 + -41. Let q be ((-12)/(-18) - 2)/(t/(-9)). Let b be ((-4)/q)/(5 - 34/6). Is 4/7 greater than or equal to b? False Suppose 99*r - 295*r - 37436 = 0. Do 35 and r have the same value? False Let x = 1.29 - -37.31. Let s = x + -39.6. Which is smaller: s or 0.005? s Suppose l = 5*r + 119, -l - 3*l + 16 = 0. Let u = r - -20. Let d be (1 + 0 - u)*3/2. Is 36/5 equal to d? False Suppose 9*m - 7*m + 4*s + 194 = 0, 379 = -4*m - 5*s. Which is smaller: -94 or m? -94 Suppose -2*w = -2*k + 38, -10 = -k + 6*k. Let b be 182/(-49) - (-6)/w. Let u be (0 - 2/20)*(-2 - b). Which is greater: u or 0.04? 0.04 Suppose b = -v + 28, 4*v - 59 = 2*v - 5*b. Suppose 3*l - 137 = -2*f - 15, -4*f + 34 = l. Let z be l/21 + 1*25. Is v > z? False Let f be (-3*(-4)/(-6))/(-2). Let y = 227 + -101. Let k be (y/112)/(30/8). Is f less than or equal to k? False Let s = 35.4492 + -35.5. Let b = -12.0508 - s. Which is smaller: -0.2 or b? b Let n = 1 + 0. Let p = 134564/550643 + -66/269. Let v = p + 2053/6141. Which is smaller: n or v? v Let c(k) = -2*k**3 - 40*k**2 + 30*k - 253. Let b be c(-21). Which is greater: 4/1955 or b? 4/1955 Let r be (-18)/15 + 736920/(-400). Which is smaller: -1845 or r? -1845 Suppose -5*x - 2*d + 7*d + 15 = 0, -2*d = -3*x + 7. Suppose 39*o - 55*o + 616 = -30*o. Let u be (-140)/o - x*3. Which is smaller: -4 or u? -4 Let d = 44/719 - -543/2876. Which is smaller: d or 0.64? d Let u be 1660/(-25) - (-5 + (-69)/(-15)). Suppose -5*p = -5*g + 365, 0 = -4*p - 24*g + 22*g - 262. Which is smaller: p or u? p Let u be 30/(-21) - -9*(-4)/(-84). Let x be (2 - u)*100/(-75). Is x greater than or equal to -4? True Let o be 6/8*3392/(-7950). Is -0.1 at most o? False Let j = -125 - -213. Let r = j - 286. Is r less than -198? False Let c(i) = i**3 + 6*i**2 + 3*i + 14. Let q be c(-6). Let g be q/(-2)*((-1534)/12)/(-13). Is 19 less than g? True Let o(u) = -u**2 + u. Let s be o(1). Let q = -1234 - -1969. Let d = q + -740. Is s at least as big as d? True Suppose -25*z = -10*d - 29*z + 13314, 5 = 5*z. Which is smaller: d or 4? 4 Let w = -23.01 - -22.95. Is 8.72 <= w? False Let
{ "pile_set_name": "DM Mathematics" }
without replacement from totoottttoddddttt. Give prob of picking 1 o and 3 d. 4/595 Calculate prob of picking 2 k and 1 g when three letters picked without replacement from kytkkkgtgkggkk. 3/13 Calculate prob of picking 1 r and 2 o when three letters picked without replacement from {o: 2, g: 2, y: 2, v: 1, r: 1}. 1/56 Calculate prob of picking 4 t when four letters picked without replacement from {v: 2, t: 11}. 6/13 Calculate prob of picking 1 h and 1 u when two letters picked without replacement from hhuhuhhhhuhhuhhuuhh. 26/57 What is prob of picking 2 d and 1 v when three letters picked without replacement from gugtvddggltggug? 1/455 What is prob of picking 1 a and 1 p when two letters picked without replacement from {p: 6, a: 1, l: 1, v: 4, g: 4}? 1/20 Two letters picked without replacement from yaa. Give prob of picking 1 a and 1 y. 2/3 Two letters picked without replacement from iixpiiiixipiiii. Give prob of picking 1 x and 1 p. 4/105 What is prob of picking 1 z and 3 m when four letters picked without replacement from {m: 5, y: 1, n: 5, z: 5}? 5/182 Two letters picked without replacement from gmpgwgpgiaaiaig. Give prob of picking 1 i and 1 g. 1/7 Three letters picked without replacement from lllllammlalm. What is prob of picking 1 m and 2 a? 3/220 Calculate prob of picking 1 t and 1 g when two letters picked without replacement from btjggxbxgggb. 5/66 Calculate prob of picking 2 k when two letters picked without replacement from {i: 4, s: 5, v: 2, k: 2}. 1/78 Two letters picked without replacement from {k: 2, p: 2, e: 11}. Give prob of picking 1 k and 1 e. 22/105 Calculate prob of picking 1 d and 1 g when two letters picked without replacement from {d: 1, q: 3, y: 2, o: 1, g: 5}. 5/66 Calculate prob of picking 1 d and 2 e when three letters picked without replacement from {d: 1, u: 1, b: 1, e: 2}. 1/10 Calculate prob of picking 1 a and 3 d when four letters picked without replacement from dddaaddddaaaddddad. 22/51 Three letters picked without replacement from yblbl. Give prob of picking 1 l, 1 b, and 1 y. 2/5 Three letters picked without replacement from {h: 1, t: 3}. What is prob of picking 3 t? 1/4 Calculate prob of picking 2 d when two letters picked without replacement from {d: 4, u: 4, q: 3}. 6/55 Four letters picked without replacement from wwwwwwwwwwfwwww. Give prob of picking 4 w. 11/15 Calculate prob of picking 1 f and 2 c when three letters picked without replacement from {c: 2, f: 9}. 3/55 What is prob of picking 2 g when two letters picked without replacement from {g: 7, r: 9}? 7/40 Calculate prob of picking 1 l, 2 h, and 1 d when four letters picked without replacement from dhhhxjlldjjs. 4/165 Two letters picked without replacement from {w: 2, g: 2, y: 2}. Give prob of picking 2 y. 1/15 Three letters picked without replacement from bpbbpuiiipiippipb. Give prob of picking 1 p and 2 b. 9/170 Four letters picked without replacement from {s: 1, e: 1, a: 2, z: 1}. Give prob of picking 1 z, 2 a, and 1 e. 1/5 Calculate prob of picking 3 u when three letters picked without replacement from {t: 7, u: 7}. 5/52 Two letters picked without replacement from {w: 11, n: 5}. Give prob of picking 2 w. 11/24 Calculate prob of picking 3 d and 1 t when four letters picked without replacement from tddtdtddtdtdddttttd. 90/323 Two letters picked without replacement from {x: 6}. What is prob of picking 2 x? 1 Three letters picked without replacement from {h: 2, g: 10}. Give prob of picking 2 h and 1 g. 1/22 Four letters picked without replacement from {c: 10, k: 9, p: 1}. Give prob of picking 1 p and 3 k. 28/1615 Four letters picked without replacement from jnuucn. Give prob of picking 2 u and 2 n. 1/15 What is prob of picking 2 e and 1 p when three letters picked without replacement from eheehpppppe? 2/11 Calculate prob of picking 2 n when two letters picked without replacement from {n: 2, b: 4, z: 6, r: 3, y: 2}. 1/136 Four letters picked without replacement from mmmqmmtmtqmmqmqqq. Give prob of picking 4 m. 9/170 Three letters picked without replacement from {c: 4, d: 6}. What is prob of picking 1 c and 2 d? 1/2 Three letters picked without replacement from rfrekrufeereeruffef. What is prob of picking 1 u, 1 f, and 1 r? 50/969 Three letters picked without replacement from {m: 7, k: 2, t: 7}. What is prob of picking 2 k and 1 t? 1/80 Three letters picked without replacement from {s: 2, b: 5, y: 2, a: 2, f: 2, m: 3}. Give prob of picking 2 a and 1 b. 1/112 Calculate prob of picking 3 m when three letters picked without replacement from mmmmmmmmmm. 1 Calculate prob of picking 1 a, 1 i, 1 y, and 1 w when four letters picked without replacement from wakiaaiyayikayiaak. 7/255 Three letters picked without replacement from {l: 2, h: 2, t: 1, b: 1, u: 1, i: 1}. What is prob of picking 1 l, 1 u, and 1 t? 1/28 Calculate prob of picking 2 r and 1 x when three letters picked without replacement from urrrruxerexrrexxxuu. 35/323 Calculate prob of picking 1 k and 1 d when two letters picked without replacement from dddkkdkd. 15/28 What is prob of picking 2 b and 2 j when four letters picked without replacement from {b: 4, j: 3}? 18/35 What is prob of picking 1 i, 1 j, and 1 v when three letters picked without replacement from mvvji? 1/5 Calculate prob of picking 2 v and 2 w when four letters picked without replacement from {w: 2, v: 5}. 2/7 What is prob of picking 1 h and 2 g when three letters picked without replacement from eehegggghgeg? 3/22 What is prob of picking 1 n and 1 l when two letters picked without replacement from hllhnhwh? 1/14 Calculate prob of picking 3 z when three letters picked without replacement from {g: 1, z: 14}. 4/5 Calculate prob of picking 1 j and 1 t when two letters picked without replacement from {l: 5, t: 3, i: 1, j: 1, b: 2}. 1/22 Two letters picked without replacement from xqbdj. What is prob of picking 1 d and 1 x? 1/10 What is prob of picking 2 w and 1 a when three letters picked without replacement from aawwwwwwaaawwxwawwaw? 77/190 Two letters picked without replacement from {h: 2, v: 1, m: 3, t: 3, z: 1, j: 2}. Give prob of picking 1 z and 1 h. 1/33 Three letters picked without replacement from ccsckcckkcks. What is prob of picking 1 c, 1 k, and 1 s? 12/55 Four letters picked without replacement from {x: 2, i: 5, a: 2, l: 3}. Give prob of picking 1 i, 1 x, and 2 l. 2/33 Calculate prob of picking 3 f and 1 l when four letters picked without replacement from llllfff. 4/35 What is prob of picking 4 w when four letters picked without replacement from {w: 6, e: 13}? 5/1292 Calculate prob of picking 2 a and 2 g when four letters picked without replacement from gaggagggagaggggagaa. 231/646 What is prob of picking 3 i and 1 b when four letters picked without replacement from {b: 2, i: 11}? 6/13 Three letters picked without replacement from yssssysss. What is prob of picking 3 s? 5/12 Two letters picked without replacement from sssa. What is prob of picking 2 s? 1/2 What is prob of picking 2 m and 1 z when three letters picked without replacement from {u: 1, d: 1, m: 5, f: 6, r: 2, z: 2}? 1/34 Two letters picked without replacement from nbxrp. Give prob of picking 1 n and 1 b. 1/10 What is prob of picking 2 j and 2 c when four letters picked without replacement from {c: 3, t: 2, j: 4}? 1/7 What is prob of picking 4 v when four letters picked without replacement from {r: 5, o: 3, q: 2, v: 5}? 1/273 Four letters picked without replacement from kkddddhkkddh. Give prob of picking 1 h and 3 k. 8/495 Calculate prob of picking 3 a when three letters picked without replacement from mradmmraammrdra. 4/455 Two letters picked without replacement from jjwjjjjfjjwjjj. Give prob of picking 1 j and 1 w. 22/91 What is prob of picking 3 s when three letters picked without replacement from ssyyysssysssysyysyyy? 2/19 Four letters picked without replacement from {d: 1, l: 2, e: 4}. What is prob of picking 2 e, 1 l, and 1 d? 12/35 What is prob of picking 2 l and 1 i when three letters picked without replacement from wlptwbil? 1/56 Calculate prob of picking 3 n when three letters picked without replacement from {n: 5, i: 7}. 1/22 Calculate prob of picking 3 v when three letters picked without replacement from {v: 8, p: 3, b: 6, x: 1}. 7/102 Calculate
{ "pile_set_name": "DM Mathematics" }
without replacement from {b: 5, x: 2}. What is prob of sequence bb? 10/21 Calculate prob of sequence yl when two letters picked without replacement from lyo. 1/6 Three letters picked without replacement from {u: 1, n: 2, t: 6, e: 3}. What is prob of sequence ntn? 1/110 Four letters picked without replacement from nnkyunnnnnbubybkuuku. What is prob of sequence nnkk? 7/3230 What is prob of sequence qqyq when four letters picked without replacement from {y: 9, q: 3}? 1/220 Calculate prob of sequence ncn when three letters picked without replacement from {h: 11, c: 2, n: 2}. 2/1365 What is prob of sequence jjj when three letters picked without replacement from jjtjjtjttt? 1/12 Four letters picked without replacement from bzyykyzyyyyyyoobb. Give prob of sequence yzoo. 3/4760 Calculate prob of sequence xxi when three letters picked without replacement from ixaaaaaaaxaaxxxaxxaa. 7/1140 Four letters picked without replacement from zzyzzzzzyzz. Give prob of sequence zzzz. 21/55 Two letters picked without replacement from aefztfzzzfezfe. What is prob of sequence zt? 5/182 Calculate prob of sequence mht when three letters picked without replacement from uhuanamntntanautn. 1/1360 Four letters picked without replacement from {m: 10, l: 4}. Give prob of sequence mmlm. 120/1001 Three letters picked without replacement from eqhpephhehhpehp. What is prob of sequence pee? 8/455 Two letters picked without replacement from {h: 6, k: 3, s: 2, z: 1, e: 5}. What is prob of sequence zk? 3/272 What is prob of sequence ffdd when four letters picked without replacement from {d: 8, u: 1, f: 11}? 154/2907 Calculate prob of sequence jj when two letters picked without replacement from {j: 17, t: 2}. 136/171 Calculate prob of sequence ov when two letters picked without replacement from luvvnonl. 1/28 What is prob of sequence db when two letters picked without replacement from {q: 3, r: 2, w: 4, i: 3, b: 2, d: 1}? 1/105 Calculate prob of sequence ragr when four letters picked without replacement from jrakrkgj. 1/840 Calculate prob of sequence brb when three letters picked without replacement from {n: 4, r: 2, w: 4, b: 2, j: 1, z: 1}. 1/546 What is prob of sequence aj when two letters picked without replacement from {a: 3, p: 1, t: 2, b: 1, s: 2, j: 6}? 3/35 Four letters picked without replacement from {c: 1, z: 2, i: 4, m: 2, t: 1}. What is prob of sequence mtic? 1/630 What is prob of sequence dsf when three letters picked without replacement from {d: 2, h: 1, s: 1, f: 2}? 1/30 Calculate prob of sequence udsi when four letters picked without replacement from {h: 2, r: 2, s: 2, u: 5, d: 2, i: 1}. 5/6006 Calculate prob of sequence sq when two letters picked without replacement from {s: 4, q: 2, o: 7, c: 1, n: 2}. 1/30 Calculate prob of sequence hm when two letters picked without replacement from mhm. 1/3 Three letters picked without replacement from wwttujddjtdd. What is prob of sequence ddj? 1/55 Two letters picked without replacement from {t: 11, h: 1, y: 2, p: 3, o: 1, d: 1}. Give prob of sequence td. 11/342 Four letters picked without replacement from {d: 1, z: 2, q: 2, j: 7, b: 6}. Give prob of sequence jqdq. 7/36720 What is prob of sequence cee when three letters picked without replacement from ecahchhehhhc? 1/220 Calculate prob of sequence mrb when three letters picked without replacement from xmqrblmmlrr. 1/110 Calculate prob of sequence mm when two letters picked without replacement from {b: 1, m: 2, t: 4, x: 2, h: 1, f: 4}. 1/91 Four letters picked without replacement from ututpp. What is prob of sequence uttp? 1/45 What is prob of sequence ffh when three letters picked without replacement from ffhffffffffff? 1/13 Four letters picked without replacement from {l: 3, k: 1, c: 3, y: 5, b: 1, a: 1}. Give prob of sequence ycyc. 5/1001 Calculate prob of sequence iks when three letters picked without replacement from lillkilliilsk. 2/429 Two letters picked without replacement from ydyyydyydyd. What is prob of sequence yy? 21/55 What is prob of sequence hx when two letters picked without replacement from {h: 1, x: 3}? 1/4 Four letters picked without replacement from {j: 10}. Give prob of sequence jjjj. 1 Two letters picked without replacement from {a: 4, g: 1, k: 2}. Give prob of sequence gk. 1/21 Four letters picked without replacement from {n: 5, x: 3, a: 1, g: 1, e: 4, i: 4}. Give prob of sequence xnan. 1/1224 Calculate prob of sequence xsci when four letters picked without replacement from {x: 6, i: 1, c: 3, v: 3, s: 5}. 1/816 Calculate prob of sequence gg when two letters picked without replacement from gogzzzzg. 3/28 What is prob of sequence jfjp when four letters picked without replacement from {f: 3, p: 4, j: 2, m: 1}? 1/210 Calculate prob of sequence wwe when three letters picked without replacement from awwpayewpaa. 1/165 Calculate prob of sequence vv when two letters picked without replacement from {v: 2, w: 2}. 1/6 Four letters picked without replacement from krfly. What is prob of sequence yrkf? 1/120 What is prob of sequence hn when two letters picked without replacement from nhhhhnnnhnhhhnnh? 21/80 Four letters picked without replacement from dbvddvddvdddlvdv. What is prob of sequence vddl? 3/364 Three letters picked without replacement from jtvmjku. Give prob of sequence vkt. 1/210 Two letters picked without replacement from jgddjdigdgjgdd. What is prob of sequence ij? 3/182 Three letters picked without replacement from {s: 17, z: 2}. What is prob of sequence ssz? 16/171 Three letters picked without replacement from qqbqbbqbbq. What is prob of sequence bqb? 5/36 Two letters picked without replacement from {i: 6}. Give prob of sequence ii. 1 Two letters picked without replacement from {s: 3, g: 2, b: 3}. What is prob of sequence sg? 3/28 Two letters picked without replacement from bjcsq. What is prob of sequence qb? 1/20 Four letters picked without replacement from mkmkmmmm. Give prob of sequence mmmm. 3/14 Calculate prob of sequence tt when two letters picked without replacement from {m: 2, t: 17}. 136/171 Calculate prob of sequence zz when two letters picked without replacement from nnnzznnznnnnnnnnnz. 2/51 What is prob of sequence ex when two letters picked without replacement from {k: 2, e: 5, x: 5, u: 1, m: 5}? 25/306 Four letters picked without replacement from {e: 3, r: 5, t: 4, q: 3, w: 4}. Give prob of sequence qqwr. 5/3876 Two letters picked without replacement from {d: 1, m: 1, t: 6, b: 1}. Give prob of sequence tb. 1/12 What is prob of sequence ot when two letters picked without replacement from {t: 2, o: 1, q: 1, e: 4}? 1/28 Three letters picked without replacement from sqefwfffqqq. What is prob of sequence fqw? 8/495 Two letters picked without replacement from afafuduuuufad. Give prob of sequence ff. 1/26 What is prob of sequence cs when two letters picked without replacement from {r: 2, s: 4, c: 6}? 2/11 Three letters picked without replacement from fmsfjgfgqjqqsf. What is prob of sequence fgm? 1/273 Calculate prob of sequence we when two letters picked without replacement from {r: 1, w: 1, e: 1, c: 1, n: 1}. 1/20 Two letters picked without replacement from kbaasssaii. Give prob of sequence ka. 1/30 Four letters picked without replacement from lflfffflflffaf. What is prob of sequence ffaf? 3/143 Three letters picked without replacement from {l: 1, p: 7, y: 3, c: 1, r: 1}. What is prob of sequence rpp? 7/286 Three letters picked without replacement from {m: 9, i: 7}. Give prob of sequence mmi. 3/20 Four letters picked without replacement from uumzmmumjmmjimummm. Give prob of sequence mmum. 2/51 What is prob of sequence ird when three letters picked without replacement from {i: 7, r: 4, d: 6}? 7/170 What is prob of sequence jt when two letters picked without replacement from jjjjjjjt? 1/8 Three letters picked without replacement from {u: 3, i: 3}. Give prob of sequence uuu. 1/20 Calculate prob of sequence yjj when three letters picked without replacement from {j: 2, y: 5}. 1/21 What is prob of sequence nne when three letters picked without replacement from enennenehen? 10/99 Calculate prob of sequence inke when four letters picked without replacement from {e: 1, i: 2, n: 1, k: 1, a: 2, r: 1}. 1/840 Four letters picked without replacement from
{ "pile_set_name": "DM Mathematics" }
3*o**2 + 3*o + 5. Let y(x) = -66*x**2 + 4*x - 6 - 7*x + 147*x**2 - 85*x**2. Give 3*v(b) + 2*y(b). b**2 + 3*b + 3 Let d(y) = 3*y**3 - 2*y + 1. Let r(o) = 293*o + 591. Let z be r(-2). Let u(c) = -5*c**3 + 5*c - 1. What is z*d(a) + 2*u(a)? 5*a**3 + 3 Let y(t) = -9*t + 6. Let g(q) = 36*q - 25. Let n(j) = -2*g(j) - 9*y(j). Let a(l) = 185*l + 2 - 7 - 175*l. Determine -5*a(o) + 6*n(o). 4*o + 1 Let n(y) = y**3 + y**2 - 1. Let p = 12137 - 12138. Let u(f) = -26*f**3 - 3*f**2 + 3. Calculate p*u(h) - 3*n(h). 23*h**3 Suppose 0 = 5*r + 20, 4*h + 6*r - 5*r + 16 = 0. Let s(u) = -u**2 - u + 1. Let y(f) = 21*f**2 + 28*f - 28. Give h*y(p) - 84*s(p). 21*p**2 Let x(r) = 18*r - 4. Let w(o) = 2 + 1491*o - 1 - 2977*o + 1485*o. Give 3*w(s) + x(s). 15*s - 1 Let f(u) = 2*u + 2. Let q(y) = y. Let c be (-688)/3096 - 2711*1/(-9). Let t = c + -298. What is t*q(r) + f(r)? 5*r + 2 Let t(i) = -2*i + 7. Let m(h) = -h + 1. Suppose 1080*y - 1380*y = 600. Calculate y*t(s) + 2*m(s). 2*s - 12 Let h(w) = -6*w**2 + 38*w - 10. Let o(r) = 6*r**2 - 35*r + 7. Give -3*h(s) - 4*o(s). -6*s**2 + 26*s + 2 Let j(f) = -5*f + 2. Let t(r) = 18*r + 112. Let a be t(-6). Suppose 11 = -5*i + o, -7*o - 21 = 3*i - a*o. Let l(z) = -11*z + 3. Give i*l(w) + 7*j(w). -2*w + 5 Let k(m) = m**2 + 4. Let u(o) = -o**2 - 1. Suppose -42 = -4*g + 5*d, -g + 1 + 1 = 3*d. Let h be g + (-136)/16 - (-2)/(-4). Determine h*k(f) - 4*u(f). 3*f**2 Let j(r) = 21*r - 324. Let n(p) = -12*p + 164. Give -10*j(t) - 19*n(t). 18*t + 124 Let h(q) = -3 + 0 + 6 - 1 + 4 - 3*q. Let i(g) = -4*g + 7. What is 6*h(n) - 5*i(n)? 2*n + 1 Let j(x) = -647*x + 36. Let o(y) = -645*y + 32. Give -6*j(q) + 7*o(q). -633*q + 8 Let f(y) = 7 - 4 + 3*y + 2505*y**3 - 5028*y**3 + 6*y**2 + 2524*y**3. Let x(g) = -g**3 - g**2 - g - 1. Give f(q) + 3*x(q). -2*q**3 + 3*q**2 Let l(k) = -2*k - 1. Let p = -293 - -296. Let h(t) = t. Let d(m) = p*h(m) + l(m). Let a(s) = 6*s - 5. Let c = 8 + -4. Determine c*d(v) - a(v). -2*v + 1 Let h(m) = -2*m**3 - m - 2. Let k(n) = 2*n**3 + n**2 + 1. Let v be (-4 - -3)/((-13)/156*4). Calculate v*k(z) + 2*h(z). 2*z**3 + 3*z**2 - 2*z - 1 Let k = 305 + -302. Let o(q) = -k - 5*q**2 + 19 - 16. Let z(f) = 2*f**2. Give -3*o(s) - 7*z(s). s**2 Let l(z) = 21*z + 63. Let p(m) = 28*m + 64. Give 3*l(c) - 2*p(c). 7*c + 61 Let r(g) = -2*g + 7. Let n = 21246 - 21250. Let q be 1 + -10 + 3 + 3. Let z(y) = 3*y - 8. What is n*r(j) + q*z(j)? -j - 4 Let m(l) = 2*l**3 - l**2 - l + 7. Let i(z) = -5180*z**3 + 490*z**2 + 490*z - 3430. Calculate 5*i(y) + 2450*m(y). -21000*y**3 Let n(f) = 5*f + 109. Let c(z) = 3*z + 72. Give -11*c(m) + 6*n(m). -3*m - 138 Let j(h) = -68*h**3 + 20*h**2 + 5*h - 7. Let g(d) = -33*d**3 + 11*d**2 + 3*d - 4. Determine 5*g(l) - 3*j(l). 39*l**3 - 5*l**2 + 1 Let f(b) = 2*b**3 - 88*b**2 - 10*b - 15. Let p(g) = 14*g**3 - 616*g**2 - 66*g - 100. What is 20*f(m) - 3*p(m)? -2*m**3 + 88*m**2 - 2*m Let c(l) = -65*l**3 + 6*l**2 + 20*l - 10. Let d(t) = -t**2 - 3*t + 1. What is -c(v) - 6*d(v)? 65*v**3 - 2*v + 4 Let p(y) = 2*y**2 - 952*y + 5. Let x(d) = -2*d**2 + 952*d - 4. Determine 4*p(t) + 5*x(t). -2*t**2 + 952*t Let n(s) = -6*s**3 - s**2 + 2*s - 1. Let m = -510 + 511. Let x be (-120)/(-135) + (m - 8/9). Let z(q) = q**3 + q**2 + 1. Give x*n(t) + z(t). -5*t**3 + 2*t Let s(q) = 2*q**3 + 53*q**2 - 244*q + 3. Let f be s(4). Let m(i) = 6*i**2 + 11*i - 23. Let k(y) = -3*y**2 - 5*y + 11. What is f*m(b) + 7*k(b)? -3*b**2 - 2*b + 8 Let n(d) = 774*d. Suppose -5*x + 2*u - 8 - 8 = 0, 10 = -2*x + 2*u. Let i(q) = -25*q. Calculate x*n(h) - 63*i(h). 27*h Let i(d) = 449 + 374 + 5*d + 450 - 1270. Suppose -3*w - 10 = -w. Let m(q) = -3*q - 1. Calculate w*m(o) - 2*i(o). 5*o - 1 Let u(c) = 6*c**2 + 5 - 22*c**3 + 23*c**3 - c**2. Let i(o) = o**2 + 1. Let l be ((-1)/2)/((-16)/(-128)). Let p be ((-8)/6)/(l/(-6)). What is p*u(t) + 10*i(t)? -2*t**3 Let i(l) = -201*l**2 - 30*l - 7. Let w(y) = -201*y**2 - 23*y - 6. Calculate 3*i(f) - 4*w(f). 201*f**2 + 2*f + 3 Let g(x) = -103*x + 205. Let c be g(2). Let t(l) = -2*l + 1. Let p(k) = 1 - 2 - k + 1 + 1. Determine c*t(n) + 3*p(n). -n + 2 Suppose 0 = s + 5*x - 26, 484*s = 483*s - x + 6. Let l(i) = -i**3 - i**2 + 1. Let h(m) = m**3 - m**2 + m + 1. What is s*h(v) - l(v)? 2*v**3 + v Suppose 6*i - 3*m = 27, 3*i - 33 = -3*m + 3. Let p(l) = -2*l**3 - 3*l**2 - 8*l - 8. Let h(w) = -2*w**3 - 4*w**2 - 9*w - 9. What is i*p(r) - 6*h(r)? -2*r**3 + 3*r**2 - 2*r - 2 Let g(l) = 14*l**2 + 69*l - 2. Let c(a) = 29*a**2 + 152*a - 5. Determine 6*c(u) - 15*g(u). -36*u**2 - 123*u Let h(i) = -24 - 5*i**3 + 59*i**2 - 137*i**2 + 78*i**2 + 65*i**3. Let n(s) = -s**3 + 1. What is -h(f) - 24*n(f)? -36*f**3 Let i(a) = -34*a**3 - 5*a + 5. Let g(c) = 33*c**3 + 4*c - 4. Let r(d) = 11*d**2 - 179*d + 43. Let v be r(16). Calculate v*g(n) - 4*i(n). -29*n**3 Let w(m) = -4*m**3 + m**2 + 2. Let o(k) = -2*k - 712 - 7*k**3 + 717 + k**2 + k. Calculate 3*o(n) - 5*w(n). -n**3 - 2*n**2 - 3*n + 5 Let p(m) be the third derivative of -m**6/120 - m**4/24 - 2447*m**2. Let t(b) = -4*b**3 + b + 2. Give p(n) + t(n). -5*n**3 + 2 Let c(r) = -20*r + 5. Let i(n) be the third derivative of 5*n**4/24 - n**3/6 - 1392*n**2. Determine -4*c(a) - 18*i(a). -10*a - 2 Let a(z) = -37*z**3 + 6*z - 6. Let t(p) = -961*p**3 + 155*p - 155. Let i = -3380 - -3386. Determine i*t(w) - 155*a(w). -31*w**3 Let s(l) = -2*l**3 - 3*l**2 - 2*l + 1. Let u(t) = -1946*t**3 - 6*t**2 - 4*t + 2. Calculate 6*s(n) - 3*u(n). 5826*n**3 Let i(y) be the third derivative of y**3/3 + 14*y**2. Let d(p) = -6 + 3 - p + 2*p - 8. Calculate 2*d(z) + 11*i(z). 2*z Let z(a) = 38*a + 67. Let t(r) = 114*r + 178. Give -3*t(w) + 8*z(w). -38*w + 2 Let z(l) = -6*l**3 + 26*l**2 + 2*l. Let t = 22028 - 22027. Let i(b) = -b**3. Calculate t*z(w) - 4*i(w). -2*w**3 + 26*w**2 + 2*w Let c(b) = 3*b**3 + 12*b**2 - 201*b + 2. Let d(r) = -2*r**3 - r**2 - 4*r - 1. Give c(n) + 2*d(n). -n**3 + 10*n**2 - 209*n Let d(a) = 10*a**3 + 111*a**2 + 23*a + 7. Let r(f) = -5*f**3 - 55*f**2 - 14*f - 4. Determine -3*d(s) - 5*r(s). -5*s**3 - 58*s**2 + s - 1 Let j(r) = r**3 - 2*r**2 - 2*r. Let m(b) = -6*b**3 - 9*b**2 - 11*b - 2. Let q(z) = 6*z**3 - z**2 + 1. Let c(s) = -m(s) - 2*q(s). Determine -4*c(u) - 22*j(u). 2*u**3 Let b(s) = 3*s**2 + 8*s**2 - 17 + 8*s**2 - 2*s**2 + 17*s - 18*s**3. Let t = 4 - 10. Let n(j) = 3*j**3 - 3*j**2 - 3*j + 3. Give t*b(f) - 34*n(f). 6*f**3 Let x(t) = 58*t**2 + 55*t - 13. Let a(b) = -164*b**2 - 166*b + 41. What is -6*a(o) - 17*x(o)? -2*o**2 + 61*o - 25 Let g(t) be the second derivative of -t**2/2 - 4328*t. Let j(m) = 19*m + 4. Calculate -5*g(v) - j(v). -19*v + 1 Let q(n) = n + 0*n - 2*n - 3. Let b(j) be the third derivative of 0*j + 1/12*j**4 + 7/6*j**3 - 1/60*j**5 + 0 - 238*j**2. What is -2*b(s) - 5*q(s)? 2*s**2 + s + 1 Suppose 3652 = -133*v + 137*v. Let m(y) = -300*y - 307*y - 305*y + v*y - 1. Let d(r) = r**2 + 2*r - 4. What is -d(a) + 4*m(a)? -a**2 + 2*a Let t(f) = -6*f**2 + 8*f - 22. Let y(l) = l**2 - l + 1. Let i be 56/6 + ((-100)/12 - -7). Give i*y(w) + t(w). 2*w**2 - 14 Let v(x) = 24*x**3 - 3*x**2 + 7*x. Let q be 9 + (3 + -1)*(-12 - -11). Let u(c) = 8*c**3 - c**2 + 2*c. Calculate q*u(o) - 2*v(o). 8*o**3 - o**2 Let v(l) be the second derivative of 2*l**3/3 - 3*l**2/2 - l. Let t(f) be the third derivative of f**4/8 - f**3/3 - 104*f**2 + 23. Give -3*t(k) + 2*v(k). -k Let g(p) = -8*p + 2043 - 679 - 687 - 677. Let v(d) = 55*d. What is 15*g(f) + 2*v(f)? -10*f Let t(o) = -65*o - 22. Let f(i) = 20*i + 7. Give 8*f(n) + 3*t(n). -35*n - 10 Let p(q) = 9*q**3 - 6*q**2 + 5*q + 5. Let t(y) be the first derivative of -19*y**4/4 + 13*y**3/3 - 11*y**2/2 - 11*y - 1380. Calculate -13*p(c) - 6*t(c). -3*c**3 + c + 1 Let m(k) = -4*k**2 + 958. Let b(n) = -2*n**2 + 479. Give -13*b(u) + 6*m(u). 2*u**2 - 479 Let o(f) = 9*f**2 - 8*f - 9. Let t(s) = 3*s**2 - 3*s - 3. Let g be (-17)/(-136) - (-3 - 195/40). Calculate g*t(w) - 3*o(w). -3*w**2 + 3 Let t = 18163 - 217955/12. Let f(o) be the second derivative of -19*o + t*o**4 + 0 - 1/2*o**2 + 1/6*o**3. Let g(k) = -5*k**2 - 4*k + 6. Calculate 4*f(d) + g(d). -d**2 + 2 Let v = -7 - -1. Let d be ((-58)/8 - -1) + (-14)/(-56). Let o be 3*2/18 + 86/d. Let l(n) = -11*n**3 - 7. Let w(p) = 5*p**3 + 3. Give o*w(k) + v*l(k). -4*k**3 Let k(s) = -16*s**2 - 11*s - 16. Let z(i) = -2*i**2 - 20*i + 5. Let b(d) = 3*d**2 + 26*d - 6. Let y
{ "pile_set_name": "DM Mathematics" }
7 decimal places. 0.0000003 Let a = -0.569 - -0.7. Let w = a + -0.129906. What is w rounded to 4 decimal places? 0.0011 Let i = -46.004 + 0.004. Let z = 221.6 - 191. Let v = i + z. Round v to the nearest 10. -20 Let m = 59.34 + -70.865. What is m rounded to 1 dp? -11.5 Let g = -2903245884 - -2903246203.0000402. Let d = g - 319. What is d rounded to six decimal places? 0.00004 Let m = -9.5015 + -2.8975. What is m rounded to the nearest integer? -12 Let i = 1171.5412565608456 - -0.4587440176544. Let b = -1172 + i. Round b to 7 dps. 0.0000006 Let d be ((-21)/4)/(27/(-288)). Suppose -50*l = -d*l + 1104. What is l rounded to the nearest ten? 180 Suppose 4*l - 5*l = -4*n - 1180155, -5*n - 1475210 = 2*l. What is n rounded to the nearest 100000? -300000 Let j = -8258.00013956 + 8258. Round j to 5 decimal places. -0.00014 Let i = -2.69702 - -4.356885. Let j = 1.66 - i. Round j to 5 decimal places. 0.00014 Let t = -0.550491 + 0.55048808629. Round t to 7 dps. -0.0000029 Let q = -9486.3079 + 9487. Let d = -406.7259 + 406.8. Let r = q - d. Round r to one dp. 0.6 Let p = 102.9 + -97. Let x = -83459 + 83453.0979. Let u = x + p. What is u rounded to 3 dps? -0.002 Let g = -5.49 - -5.4508. Let w = -9.4192 - g. What is w rounded to the nearest integer? -9 Suppose 3*o = 2*i - 22328, 2*i + 2*o - 15388 = 6960. What is i rounded to the nearest one thousand? 11000 Let o = -101.322 - -101.9. Let k = o + -0.58236. What is k rounded to three decimal places? -0.004 Let r = -51 - -63. Let l(f) = 10*f**3 + 4*f - 28. Let j be l(r). Round j to the nearest one thousand. 17000 Let m = -0.20685536 + 0.20739. What is m rounded to 6 dps? 0.000535 Let y = -0.168 + -5.142. Let n = 3.14 + y. Round n to 1 decimal place. -2.2 Let l = -30 - -13. Let j = l - -14. Let g be j/(-2) - 74999991/(-6). What is g rounded to the nearest 1000000? 13000000 Let o be 17525/3*(-3060)/(-34). Round o to the nearest ten thousand. 530000 Let i = 155.7 - -66.7. What is i rounded to the nearest ten? 220 Let i = -40 - -10. Let b = i - -35. Suppose b*r = r + 9600000. Round r to the nearest one million. 2000000 Let n = 2480.31489 + 0.08511. Round n to the nearest 100. 2500 Let j = 690 + -1691. Let c = -1598186 + 1597185.521. Let n = j - c. What is n rounded to two dps? -0.52 Suppose 13745000 = 1143*w - 1138*w. Round w to the nearest 100000. 2700000 Let u = -30695.21 + 30954. Let x = u - 260. What is x rounded to zero decimal places? -1 Let v = -5288.11813 - -5288. Round v to 3 dps. -0.118 Let h = -240 + 359. Let c = h - 122.98. Round c to one dp. -4 Let u(h) = -46 + 3 - 65 + 135278*h. Let v be u(-14). Round v to the nearest one hundred thousand. -1900000 Let k = -883.291838 - -873.8726. Let w = k - -9.42. What is w rounded to 4 decimal places? 0.0008 Let r(i) = 1203*i + 490. Let h be r(13). What is h rounded to the nearest one hundred? 16100 Let z be (0 + 4)/(3 - 2). Suppose 0 = 3*y - 3*i + 90, -3*y - i - 90 = z*i. What is y rounded to the nearest one hundred? 0 Let f = 0.338 - -153.962. Let k = f + -150. Round k to the nearest 10. 0 Let l = 6 - -30. Suppose 0 = x - 5*w + 40 + l, 0 = -x - 4*w - 49. Let z = 52 + x. Round z to 0 dps. -9 Let h = 124559981 + -124560603.01559. Let q = h + 622. What is q rounded to 3 dps? -0.016 Let g = -1723.451 - -1721. Round g to the nearest integer. -2 Let a = 0.253 + -24.653. Let b = a - -24.39776. Round b to three dps. -0.002 Let g = -42142 + 41782.74. Round g to the nearest 10. -360 Let o = -1.0149 - -1.015012631. Round o to five dps. 0.00011 Let s = -12508746696 - -12508746889.000001115. Let i = s + -193. What is i rounded to 7 decimal places? 0.0000011 Let z = 1220 + -223. Let y = -1003.69575 + z. Let n = -6.7 - y. What is n rounded to 4 dps? -0.0043 Let g be 0*(0/(-4) + -1). Suppose -3*f + g*d + 21 = -d, 3*f + d - 15 = 0. Suppose f*p - 10*p + 580 = 0. Round p to the nearest ten. 150 Let v be 18 - 8 - (3 + 2). Suppose 4*r - v*d + 1788020 = 0, 0 = -4*r - 4*d - 1482302 - 305682. Round r to the nearest ten thousand. -450000 Let x(u) = -u**2 + 11*u**3 + 9*u + 8 - 9 - 5*u**2 - 2*u. Let q be x(3). What is q rounded to the nearest 10? 260 Let x(z) = 592261*z + 4 - 12 + 0 + 696237*z + 0. Let u be x(-4). What is u rounded to the nearest one million? -5000000 Let f be 23 - 1694760/72 - (-2)/6. What is f rounded to the nearest one hundred? -23500 Let j = 13951 + -13951.0000064548. What is j rounded to 6 decimal places? -0.000006 Let l(q) = 238789*q - 20. Let r be l(-2). Let s be (-2)/(-6) - r/6. What is s rounded to the nearest ten thousand? 80000 Let f = -33551 + 2060. Let t = f - 181509. Round t to the nearest one hundred thousand. -200000 Suppose 5*i + 24*l + 1014798 = 25*l, 3*i + 608870 = 5*l. What is i rounded to the nearest one thousand? -203000 Let i = 123.89 + -95.29. Round i to 0 decimal places. 29 Let k = 19329.000004311 - 19329. What is k rounded to 7 decimal places? 0.0000043 Let g = -0.08307 + 0.08312152. Round g to five decimal places. 0.00005 Let k = 27609.7 - 31129. Round k to the nearest one hundred. -3500 Let q = 3760092.6179 + -3760297. Let t = 0.1821 + q. Round t to the nearest 10. -200 Let p = 8275596.7599927 + -8275595. Let w = p + -1.76. Round w to 6 dps. -0.000007 Let d = -0.047 - -0.036. Let c = d - -0.008. What is c rounded to 2 dps? 0 Let c = 136.547 + -136.602513. Let d = 0.0558 + c. What is d rounded to 5 dps? 0.00029 Let k = -12 + -10.2. Let z = 22.19656 + k. Round z to four decimal places. -0.0034 Let a = -109881.948757 + 109882. What is a rounded to three decimal places? 0.051 Let i = -1556.208 - -1527. Let w = -30 - i. Round w to one dp. -0.8 Let q = -3996788484.40973 + 3996769997. Let w = q - -18487. Let c = 0.414 + w. What is c rounded to four dps? 0.0043 Let c = -3.43989 - -0.21609. Round c to the nearest integer. -3 Let m = -424 + 429. Suppose 0 = -3*f + f + 3*y - 9119985, m*y = 2*f + 9119975. What is f rounded to the nearest 1000000? -5000000 Let b = 79.73 + -79.730046395. What is b rounded to 6 dps? -0.000046 Let b = -534.4 + -297.2. Round b to the nearest one hundred. -800 Let r be 330*(-1 + 326)*(-1888)/24. What is r rounded to the nearest 100000? -8400000 Let h = -1.96 - -19.96. Let o = -121.6 - -139.53. Let n = h - o. Round n to two dps. 0.07 Let g = 30941986949.0000773 - 30941985143. Let n = 1806 - g. Round n to five dps. -0.00008 Let p = 3057.237209755 + -60.236945455. Let s = 2997 - p. What is s rounded to 5 dps? -0.00026 Let n = -7595.06 - -7704. What is n rounded to 0 dps? 109 Let s = 2303 - 2457.652. Let l = 155 + s. What is l rounded to 2 decimal places? 0.35 Let o = 181447.6733 - 304037.696. Let s = o + 122583. Let g = 7 + s. What is g rounded to three decimal places? -0.023 Let h = -8.9428 + 9.3. Let a = -320.7428 - h. What is a rounded to the nearest 100? -300 Let m = 283.82432 - -0.06568. What is m rounded to the nearest 10? 280 Let z = 27847.9 + -25516. What is z rounded to the nearest one thousand? 2000 Let s = 71.02 - 6.02. Let u = -65.00234 + s. Round u to 3 dps. -0.002 Let o = 2572 + -2571.99996694. Round o to 7 decimal places. 0.0000331 Let b = 292 - 224.1. Let l = 73 - b. Let u = l - 5.059. Round u to 2 decimal places. 0.04 Let c = 6350763 - -46420237. Round c to the nearest 100000. 52800000 Let o = 3201.17425 + -3376.1741736. Let s = -1.65 + 176.65. Let q = s + o. Round q to five decimal places. 0.00008 Suppose -w = -2*w + 5*x - 11, 4*w = -2*x. Let i be w + -1 - (10 + -10). Let y be i*(4 - (-1710)/(-12)). Round y to the nearest ten. 280 Let x = -19.68 - -19.7. Let w = 44074 + -44073.979983. Let f = x - w. What is f rounded to five dps? -0.00002 Let b = -255747 - -869670. Suppose -13*w - 13*w + 25*w - 9186077 = 0. Let r = w - b. What is r rounded to the nearest 1000000? -10000000 Let i(s) be the third derivative of -281246*s**4/3 + 16*s**3 + 147*s**2. Let r be i(-3). Round r to the nearest 100000. 6800000 Let h = -77749.9999950613 + 77750. Round h to 7 decimal places. 0.0000049 Let q(w) = -876*w + 2 - 12 + 10. Let o be q(2). What is o rounded to the nearest 100? -1800 Let c = -22.208 + 113.504. Let q = -91 + c. Let y = -0.29334 + q. Round y to 4 dps. 0.0027 Let p = -198 - -222. Suppose -p*i = -18*i + 132000. What is i rounded to the nearest 10000? -20000 Let k = -1701.094 + 1816.9. Let z = -116 + k. Let u = z - 27.106.
{ "pile_set_name": "DM Mathematics" }
86/19)) a multiple of 101? False Let d be (-1)/(-2*2/8). Suppose 4*z - 4*n - 780 = 0, -d*z - 2*n - 2*n + 420 = 0. Suppose -11*u + z = -7*u. Is 11 a factor of u? False Let t = -184 - -182. Let g(v) = -80*v + 8. Is g(t) a multiple of 6? True Suppose 40*o - 97365 - 179956 = -58361. Does 7 divide o? True Let n(a) = -9*a - 80. Let o be n(-9). Is 3 a factor of o/(8 + (-6915)/865)? False Let t = -9 - -19. Suppose t*q - 126 = 9*q. Suppose -16 = 5*x - q. Does 22 divide x? True Suppose -25*n + 2*x = -24*n - 12039, 0 = 3*n - 4*x - 36117. Does 30 divide n? False Let n(x) = 51*x - 635. Let g be n(14). Suppose 2*z = -3*i + 258, 2*z + 0*z = 0. Let r = i - g. Is r a multiple of 7? True Let y be (0 + 1)/(-1) + 12186/3. Suppose -y - 964 = -5*b. Is 14 a factor of (-3)/(-18) + b/18? True Let m(f) = f + 54. Let i(v) = 3*v + 163. Suppose -3*z - 68 = 4*d - 7*z, 0 = -4*z. Let x(a) = d*m(a) + 6*i(a). Does 6 divide x(25)? False Is 83 a factor of 373080/16 + (-22)/(-4)? True Let z be 1/(-2 - 26/(-12)). Let i(j) = -13*j + 26. Let c be i(2). Suppose -z*p + 13*p - 1225 = c. Does 20 divide p? False Suppose -5*s = -15, -3*s = 11*x - 12*x + 4. Let y = x - -271. Does 59 divide y? False Let b(n) = 6*n**3 - n - 3*n**2 - 3*n**2 + n**3. Let l = 1388 + -1385. Is 18 a factor of b(l)? False Does 72 divide 6981 - (-8 + 0)/2 - 1? True Let j = 43614 + -33341. Does 82 divide j? False Suppose -2*q = 4*o - 12894, -5*q = 5*o - 23134 - 9106. Does 2 divide q? False Suppose -t + 102 = -5*k, k = -0*k + 2*t - 24. Let g be (3/2)/(-2*(-5)/k). Does 6 divide 504/6 + (g - -3)? True Suppose -70942 = -56*m + 305658. Does 128 divide m? False Suppose 38*s = 43*s - 60. Suppose -3*h + 3*l + 183 = 0, -5*l + s = 2. Is 7 a factor of h? True Suppose 3*d - 11 = 4. Suppose 2*r = 3*b + 150, 3*b - 2*b - 392 = -d*r. Let u = -34 + r. Is 14 a factor of u? False Let s(d) = 2215*d**2 - 39*d + 38. Is s(1) a multiple of 54? True Is (-625)/(250/10) + 7081 a multiple of 42? True Let t(p) = p**3 + 9*p**2 + 10*p - 15. Let c be t(-8). Let n = 337 - c. Is 15 a factor of n? False Let l(r) = 26*r - 531. Let w be l(22). Suppose -76 = -0*n + 2*n. Let c = n + w. Is c a multiple of 2? False Suppose 13*g + 5 + 8 = 0. Does 29 divide 868/10 + g + (-6)/(-5)? True Suppose -2*h = v - 4873, 0*v - 2*v = 10. Does 9 divide h? True Let d = 14010 + -5604. Does 43 divide d? False Suppose -4*r = v + 318, 2*v = -0*v + r - 600. Let j = v - -492. Is 10 a factor of j? True Let v(y) = -39*y - 13. Let z(r) = r**3 + 13*r**2 - 29*r + 18. Let n be z(-15). Let k be v(n). Let f = 312 + k. Is 14 a factor of f? True Let f(o) = o**3 - 80*o**2 - 397*o - 469. Is f(86) a multiple of 28? False Let r(j) = -217*j**3 - 28*j**2 + 18*j + 10. Does 9 divide r(-4)? False Let d(c) = 33*c - 10. Let i be d(16). Let u = i - 311. Suppose u = -z + 4*z. Is z a multiple of 16? False Suppose -50*v = -57797 - 893350 + 24497. Is 43 a factor of v? True Suppose 5*q + 2*d - 854 = 3*d, -q + 4*d + 186 = 0. Let y = 265 - q. Is 3 a factor of y? False Is 57 a factor of (-68)/(-187) - (-188076)/66? True Suppose -5*o - 5*z + 169 = -7*o, -o - 83 = -z. Let g = 329 + o. Is g a multiple of 19? True Let a(h) be the first derivative of -h**4/4 + 19*h**3/3 - 5*h**2/2 + h - 19. Let i(x) = -3*x + 12. Let w be i(-2). Is 23 a factor of a(w)? False Let l be (-73 + 1)*4/(-8). Suppose l = 5*d + f, 4*d - 3*f = 3*d + 4. Suppose d*z - 10 = 242. Is z a multiple of 9? True Suppose 0*t - t = 2*u + 7, 12 = 3*u - 3*t. Let f be u + (28*5)/4. Suppose 4*a + 355 = 3*n - f, 2*n - 3*a = 259. Does 40 divide n? False Is 6683210/3570 + (-2)/42 a multiple of 24? True Let d(r) = 72*r - 122. Let z be (-2)/(-1 + 0 - 8/(-12)). Is 31 a factor of d(z)? True Let i(c) = 32*c - 12. Let a(p) = p**2 - 2. Let g be a(2). Suppose 2*o = -g + 14. Does 45 divide i(o)? True Does 10 divide (((-1430)/(-33))/26)/((-3)/(-7488))? True Let j = 17850 - -4572. Is j a multiple of 6? True Suppose 5008*i - 5013*i = -20680. Does 44 divide i? True Does 103 divide (5130 + -2)*(-1743)/(-332)? False Suppose -5 = r + g - 3*g, -g = -4. Suppose -r*h - 107 = -20*l + 18*l, -2*l - 3*h + 77 = 0. Is l a multiple of 26? False Suppose 6*o - 20 - 16 = 0. Let i(w) = w**3 - 6*w**2 + 5. Let a be i(o). Suppose a*d - j = 483, d - j - 105 = 2*j. Is 24 a factor of d? True Let o(r) = 340*r - 568. Does 2 divide o(2)? True Let c = 20047 - 7947. Is 20 a factor of c? True Let s(r) = 8*r**3 - 13*r**2 + r - 4. Let v be s(4). Suppose 4*y - 280 + 35 = 5*l, -4*l - v = -5*y. Is y a multiple of 2? True Let l be ((-67)/4)/(5/(-100)). Suppose -3*i = 2*k - l, -2*i + 5*k - 442 = -6*i. Is i even? False Let q be (3 + 0)/(36/1392). Does 50 divide (-3148)/(-7) + (q/14 - 8)? True Suppose 0 = 2*j + 4*r - 11722, 3*j - 10*r = -2*r + 17569. Is j a multiple of 189? True Suppose 22*n - 73651 = 261453. Does 17 divide n? True Let r = 22370 + -12028. Is 16 a factor of r? False Suppose -4*m - 2*f + 4 = 0, 6*f = -2*m + 8*f + 14. Suppose -30 + 24 = -m*d. Suppose -d*r - 8*r + 480 = 0. Does 6 divide r? True Let z be 30/8 - 80/(-64). Suppose k = -i + 1456, -631 + 7911 = z*i + 2*k. Is i a multiple of 30? False Suppose 4*s + 13940 = 5*r, 505 + 2274 = r + s. Is 29 a factor of r? True Is (-11 - (-1240)/32)*188/3 a multiple of 13? False Suppose 0 = 3*x + 1490 + 508. Let m = -393 - x. Suppose -4*c + 5*h + m = 0, h - 300 = -4*c - 3*h. Is 8 a factor of c? True Let t be 127/2 + (-1081)/(-46) + -23. Let k be (-206)/4 + (-1)/2. Let p = t + k. Is 5 a factor of p? False Let k(y) = 900*y**2 - 1. Let a be k(1). Suppose a*v - 2376 = 895*v. Does 27 divide v? True Let v(s) = 16 + 4 - 80 - 255*s + 2 - 77. Does 15 divide v(-3)? True Let y(w) = w**3 - 9*w**2 + 2*w - 14. Let j be y(9). Suppose 5*m = 2*d + 18, j*m - 1 = d + 2. Does 4 divide (-6 - (-1)/1)*(d - -6)? False Let j(d) = 4*d**3 - 4*d + 20. Let x(f) = -11*f**3 - f**2 + 13*f - 62. Let g(u) = 8*j(u) + 3*x(u). Does 15 divide g(-9)? False Let o(g) = -12*g - 30. Let t be -26*((-4)/(-8) + 0). Is 9 a factor of o(t)? True Does 17 divide (-19670)/(-40)*(-5670)/147*(-12)/10? False Suppose -t - 3*x = -119, -476 = -5*t + 4*x + 138. Suppose 2*s - 35 = -5*p - t, -5*s + 80 = -5*p. Let y = p - -37. Is y a multiple of 2? True Let u(s) = -s**3 + 1. Let b(w) = -2*w**3 + 6*w**2 - 13*w + 26. Let j(q) = -b(q) + u(q). Is 6 a factor of j(5)? False Let g be 28/(-49) - (-8)/(-42)*-3. Suppose g*z - 13*z + 1573 = 0. Is z a multiple of 22? False Let h(y) = -y**2 + 21*y + 68. Let p be h(20). Let n = p + -112. Does 23 divide 0/1 + (87 - n)? False Suppose m - 6*m - 20 = 0, 0 = -p + 4*m + 19. Suppose 4*v - 5*b = 42, 58 = 4*v - 0*b + p*b. Suppose -v*y = -4*y - 54. Does 2 divide y? True Suppose 4*d - 3*u = 17, -72*d = -73*d + u + 3. Let a(r) = -27. Let c(f) = -f + 54. Let p(y) = -11*a(y) - 6*c(y). Is 7 a factor of p(d)? True Let m(p) = -p**2 - 11*p - 18. Let v be m(-9). Does 4 divide -4 - v/(-4) - -69? False Suppose 3*n + 2*u = 2311, 4*n + 71*u - 74*u - 3104 = 0. Is n a multiple of 2? False Let n(j) = -j**3 - 24*j**2 + 29*j - 3. Let l be n(-26). Suppose -4*i + l = i. Is 10 a factor of i? False Let j = -5390 - -8362. Is 7 a factor of j? False Let u be (-25)/(-20) + 30/(-24). Suppose u = 11*q - 12732 + 2337. Is 27 a factor of q? True Suppose 6*z - z = -3*w + 8222, -4*w = 4*z - 6584. Does 76 divide z? False Suppose -u - 2*m - 7 = 0, 0*u + 11 = 2*u - m. Suppose 2*j - 3*t - 116 = 63, 0 = -2*j - u*t + 197. Let y = j - 38. Is 19 a factor of y? False Let f = -44 - -118. Suppose 3*d + 2*h + 126 = -0*h, -2*h + f = -2*d. Is 20 a factor of 17/(((-16)/d)/(14/5))? False Suppose 0 = 5*p + 2*p. Let m be p + (8 - (5 + -2)). Suppose 4*j - 49 - m = -5*c, 2*c - 4 = 0. Does 2 divide j? False Suppose 4*r = 7*r. Suppose 0 = j - 3*l + 4, -4*l + r*l = j - 3. Does 18 divide (j + (-42)/(-4))*6 - 3? True Let c be (-8)/5 + (-24)/(-40). Is 2232/155*((-130)/4)/c a multiple of 39? True Suppose -9*d = 2*h - 13*d - 1012, 1012 = 2*h - 3*d. Does 54 divide h? False Let g = -4553 + 5687. Is 9 a factor of g? True Let l be (5 - 6)/((-1)/5). Suppose 0 = -y - 2*y - 12, -x - l*y = 14. Let z(f) = 2*f**2 - 3. Is z(x) a multiple of 10? False Suppose 48*q - 82*q + 14382 = 0. Is q a multiple of 47? True Let h = 3791 + -2293. Is 6 a factor of h? False Let t(g) = -6*g - 59. Let i(m) = 4*m + 39. Let n(s) = 8*i(s) + 5*t(s). Let q = 3 + -3. Does 17 divide
{ "pile_set_name": "DM Mathematics" }
2*z + 1. What is s(d)? 23 Let c be 7/(-14)*((-5)/1 + 1). Suppose t + 5*k - 14 = 0, 4*t + 3*k - 11 = -c*k. Let n(u) = -1 + u**2 + 0 + 3*u**2. Give n(t). 3 Let x be (-33)/(-12)*48/(-12). Let b(p) = -p**2 - 12*p - 14. Determine b(x). -3 Let l = 18 - 20. Let y(d) = 1. Let s(i) = i + 1. Let a(v) = l*s(v) + 3*y(v). Give a(2). -3 Let f(w) be the first derivative of 11 - 5/2*w**2 + w + 1/3*w**3. Give f(4). -3 Let h(q) be the second derivative of -q**5/20 - 7*q**4/12 + 2*q**3/3 - 3*q**2/2 + 15*q - 5. Calculate h(-7). -31 Suppose 5*i + 4*y = 22, 2*i - 6*i + 4*y = 4. Let p(r) = 0 + i + 164*r - 163*r. Let o(j) = -3*j - 9. Let m be o(-4). What is p(m)? 5 Let x(l) = 3 - 5 + l**3 + 4*l**2 - 4*l + 0*l + 4. Let n be (35/21)/(2*(-3)/18). What is x(n)? -3 Let t(c) = -5*c + 5. Suppose 0 = -4*f - 2 - 6. Let r be (2 - -1)/(3/f). Let m(d) = 11*d - 10. Let p(a) = r*m(a) - 5*t(a). Determine p(4). 7 Suppose -61 = g - 57. Let h(d) = 4*d - 3. Determine h(g). -19 Suppose -8*j = -6*j. Let q(i) = 2 + 4 + j - 2 + i. What is q(-6)? -2 Let n(d) = -3720*d + 7 - 1 - 3726*d + d**2 + 7453*d. Suppose g + 14 + 6 = 5*j, -2*j + g + 11 = 0. Suppose -l + 1 = -2*u + 7*u, -3*u + 15 = -j*l. What is n(l)? -6 Let x be -3 + -6*6/(-9). Let n be (x/(-2))/((-7)/(-14)). Let c(d) = d**2 - d - 1. Give c(n). 1 Let f be 1 - (12/2)/(-1). Suppose 12 = 3*i - f*i. Let l(g) = -3*g. Let p(q) = -q**2 - 15*q - 3. Let d(k) = -5*l(k) + p(k). Calculate d(i). -12 Let y(c) = -c + 5. Let b(v) = -21*v + 6. Let z be b(-2). Let f = z + -42. Calculate y(f). -1 Let d(r) = r**2 - 4*r + 2. Let l = 118 + -115. Let j be d(l). Let w(k) = k**2 + 1. What is w(j)? 2 Let x(z) = 8*z**2 + 1. Let c be (72/(-84))/(2/(-70)). Let m = -29 + c. Calculate x(m). 9 Let x(r) = -2*r + 6. Let w(a) = 23*a + 15. Let s be w(-3). Let z = s - -62. Determine x(z). -10 Let k(b) be the third derivative of 0*b + 16*b**2 + 0 + 0*b**3 + 1/24*b**4. Determine k(-5). -5 Let q(j) = -15*j - 9. Let t(p) = -3*p. Let x(d) = q(d) - 6*t(d). Let w(i) = -i**2 - 10*i - 10. Let y be w(-8). Give x(y). 9 Suppose 0 = -3*k - 226*m + 227*m - 19, 0 = -5*k - m - 21. Let b(g) = 5*g - 2. Let n(i) = -11*i + 3. Let v(w) = -13*b(w) - 6*n(w). Determine v(k). 3 Let y(h) = -h**2 + 5. Let i(m) be the third derivative of 0 - 1/20*m**5 + 4*m**2 + 11/6*m**3 - 1/24*m**4 + 0*m. Let u(a) = 2*i(a) - 5*y(a). What is u(-2)? -3 Let q(g) = 2*g + 3. Let i be (-6)/36 + (-37)/(-6). Let b be q(i). Suppose -r - 4*r - b = 0. Let z(x) = x**3 + 3*x**2 + 2. Determine z(r). 2 Let n be 12/9*(-3)/(-2). Let l(r) = 4 + 0 + r**2 + r**3 - 4*r - 6*r**n - 3. Determine l(5). -19 Let t(i) be the third derivative of -i**4/8 - i**3/6 - 12*i**2 + 3*i. Give t(-5). 14 Let z(a) = -7 - a**2 - 3*a + 10*a - a. Calculate z(5). -2 Let z(i) be the first derivative of i**4/4 - i**3/3 + i**2/2 + 29*i + 331. What is z(0)? 29 Let u = 6 - 1. Let a(c) = -c + 8. Let s be a(u). Let x(r) = -2*r - 3 - 5*r + s*r + 2*r. What is x(4)? -11 Let v(u) = -u + 1. Suppose -4*o + 132 = 4*w, 4*o - 157 = -5*w + o. Let a = w + -11. Let x = 13 - a. What is v(x)? 6 Let k = -15 + 17. Suppose 3*n - k*r - 4 = 4*n, 2*r + 12 = n. Let f(v) = 2*v + n*v - 4*v + 4. What is f(-5)? -6 Let t(o) be the second derivative of -o**5/20 + 2*o**4/3 - 11*o**3/6 - o**2 - 75*o + 3. Calculate t(6). 4 Let g(s) = -16*s**2 - 9*s - 11. Let k(z) = -7*z**2 - 4*z - 5. Let r(j) = 4*g(j) - 9*k(j). Determine r(-4). -15 Let b be -1 + 0 - (-4 - -1). Let s(a) = b*a - 52 + 101 - 45. What is s(7)? 18 Let m(h) = h**2 - 6*h - 2. Suppose -2*c - 3*y + 2 = 0, 4*y - 20 = -4*c + 6*y. Suppose -c*z + 5*o = 6 + 5, z + 8 = -4*o. Let t be 10 - 0 - (z + 8). Give m(t). -2 Let z(x) be the first derivative of x**4/4 - 10*x**3/3 + x**2 - 13*x - 335. Calculate z(10). 7 Let r(w) = -5 + 4 + 3*w**2 + 13*w**2. Let n = 10512 - 10513. Calculate r(n). 15 Let x be 1/(-1 + -4) + (-216)/45. Let c(n) = n**3 + 6*n**2 + 7*n - 1. Give c(x). -11 Let i = -43 + 54. Suppose -q = k + i, 0 = -3*k + 2*k - 2*q - 16. Let t(c) = 2*c - c - 9 + 0*c - 3*c. What is t(k)? 3 Let c(y) = 2*y. Let d = 51 - 47. Suppose 12 = 5*x - k + 3*k, d*x - 3 = 5*k. Calculate c(x). 4 Suppose 0 = -17*s - 8 - 94. Let h = 15 - 9. Let x(j) = 2*j + j + h - j. Determine x(s). -6 Let h be 2/5 - 8/20. Let g(f) be the first derivative of -4 + 0*f**2 - 10*f - 1/3*f**3. Determine g(h). -10 Let o(b) = -135*b**2 + 140*b**2 + 5*b**3 - 6*b**3 - 6. Let r(u) = u + 17. Let s be r(-12). Calculate o(s). -6 Let j(s) be the second derivative of s**3/3 - s**2/2 - s. Suppose 0 = 4453*b - 4455*b - 4. Determine j(b). -5 Let f(a) = 2*a. Let z(y) = -3*y - 50. Suppose 2*x + 2*r - 74 = 6*x, 0 = -3*x + 4*r - 58. Let i be z(x). What is f(i)? 8 Let q(k) = k**2 - 4*k + 4. Let x(u) = u + 19. Let l be x(-12). Determine q(l). 25 Let a be ((-78)/(-9))/(2/3). Let s(v) = v - 13. Calculate s(a). 0 Let g = -7 + 18. Let o be -2*(-12)/8 + g. Let y = o - 10. Let r(v) = v**2 - 4*v + 1. What is r(y)? 1 Let c(n) = -3*n**3 + 2*n - 1. Let m(g) = -2*g - 2. Let v be m(3). Let y = v + 13. Suppose 2 = y*h - 3. Give c(h). -2 Let s(a) = -4*a**2 - 11*a - 41. Let z(c) = -3*c**2 - 8*c - 39. Let d(o) = -4*s(o) + 5*z(o). Determine d(-8). 1 Suppose -5*i = -10*i - 20. Let b(l) = 9*l**2 + 8*l + 5. Let m(p) = -5*p**2 - 4*p - 3. Let d(u) = -3*b(u) - 5*m(u). Determine d(i). -16 Let f(b) = -b**2 - 13*b - 5 - 2 + 3*b. Let x be f(-9). Let w(i) = 2*i - 2 + 1 + x. What is w(-4)? -7 Suppose -7*h - 31 = -66. Let f(u) = 11 + 4*u - u - 4*u. Give f(h). 6 Let q(d) = -d. Let i(p) = p**3 - 2*p**2 - 2*p - 1. Let a be i(3). Let z be (2 + -3)/(1 - 35/42). Let o = a + z. Determine q(o). 4 Let u be 6/(-36)*-3*-4. Let p(w) = -22*w - 1. Calculate p(u). 43 Suppose -5*u + 13 = -p, 4*p + 2*u + 183 - 65 = 0. Let d = p + 22. Let c(q) = -q - 5. Give c(d). 1 Let f(x) = 17*x + 12*x**2 - 8*x**2 - 5*x**2 - 25*x. Determine f(-8). 0 Let b(x) = -1 - 930*x**2 + 1856*x**2 - 927*x**2 - 7*x. Suppose 17 = -2*y + l, 3*y + 45 = -2*y + 5*l. Determine b(y). -9 Let v(n) = -2*n**2 + 3*n + 2. Let z(h) = 2*h - 19. Suppose -2*p + 16 = -3*s - 18, s - 18 = -2*p. Let f be z(p). Give v(f). -7 Let w(y) be the second derivative of y**3/6 + 6*y**2 + 304*y. Determine w(-4). 8 Let a(q) = 2*q**2 + 40*q + 28. Let p(u) = u**2 + 14*u + 10. Let s(c) = -6*a(c) + 17*p(c). Suppose 0 = -3*h + 8*h - 10. Determine s(h). 18 Let z(n) = 4*n**2 - 7*n + 8. Let x(l) = -6*l**2 + 14*l - 17. Let r(i) = 3*x(i) + 5*z(i). Give r(-6). 19 Let u(s) = -s**2 + s - 8. Let q(k) = -k - 23. Let g be q(-25). Suppose 14*f - 9*f + 8 = -g*n, 5*f - 20 = 5*n. What is u(f)? -8 Let n(l) = 2*l**2 + 14*l - 10. Suppose -3*j - 5 = q, 3*j - 51 + 8 = 5*q. What is n(q)? 6 Let y(h) = -h**2 + 14*h - 9. Suppose 0 = -0*m + 10*m + 1090. Let q = -96 - m. What is y(q)? 4 Let k(m) = 3*m**2 - 29*m + 20. Let l be k(9). Let s be (1 - l - -1)/(0 - -2). Let x(n) be the first derivative of n**2/2 + 10*n + 1. What is x(s)? 10 Let r(k) = -16*k - 8. Let n be r(-4). Let j = -56 + n. Let m(b) be the second derivative of -b**3/6 - 11*b**2/2 + b. What is m(j)? -11 Let r(l) = -l**3 - 2*l**2 + 13*l + 6. Let k be r(-5). Let s = k + -12. Let b(x) = -x**2 + 3*x - 3. Give b(s). -7 Let m(l) = l**3 + l**2 - l + 3. Suppose 5*o + 4*z = 158, -3*o + 4*z = 3*z - 88. Suppose 32*q = o*q - 6. Give m(q). -12 Let r(k) = k**2 + 3*k + 4. Suppose -20 - 67 = 29*f. Determine r(f). 4 Suppose 0 = 5*q + 4*f - 20, -5*f + 0 = -q + 4. Let o(w) be the second derivative of -w**5/20 + 5*w**4/12 - w**3 + 2*w**2 + 10*w. Determine o(q). -4 Let h(i) = 3*i - 2 + 2*i**3 + 7*i**2 + i**3 - 2*i**3. Let f(o) = -o**3 + 20*o**2 - 19*o - 6. Let u be f(19). Give h(u). 16 Let c(a) = 3*a**2 - 6*a + 5*a - 2*a**2 - 2*a + 6. Let o be 1*-1 - (38 + -43). What is c(o)? 10 Let m(o) = 5*o + 2. Suppose a = 6*a. Suppose -2*h + 2 - 4 = 0, 4*p - 4*h - 20 = a. Give m(p). 22 Let u(f) = f**2 + f + 2. Let b be -3 - (1 - (11 - 3)). Calculate u(b). 22 Suppose 70 = -2*h + h. Let k = h - -80. Let c(l) = -l + 13. Calculate c(k). 3 Let d(n) = -41*n**2 + 16*n - 8. Let j(c) = 15*c**2 - 6*c + 3. Let s(u) = -4*d(u) - 11*j(u). Calculate s(1). 0 Let i(f) = 6*f + 9. Let p(c) = c + 2. Let t(k) = -2*i(k) + 11*p(k). Suppose -2*n + 114 = -3*h, -5*n + 171 = -2*n + 4*h. Let q = 53 - n. Calculate t(q). 8 Suppose 4*l + 0*l = -32. Let j(g) = -13*g**2 + 0*g**2 + 23*g**2 + 1 + 7*g - 9*g**2 - 3. What is j(l)? 6 Let a(v
{ "pile_set_name": "DM Mathematics" }
and 0.6. -3.9 Work out -5.26 * 0.4. -2.104 What is 12.95 times -5? -64.75 Calculate 2*130. 260 -3.4*6 -20.4 -56 * -1.64 91.84 What is the product of 106 and 0.3? 31.8 What is the product of -3 and 42? -126 Work out -4 * -0.036. 0.144 -16 times -559 8944 What is 0.4 times -119? -47.6 Work out -0.4 * 434. -173.6 0.2*60 12 Multiply 1 and -0.974. -0.974 What is 0 times 13? 0 Calculate -2.1*0.034. -0.0714 What is the product of -4297 and 0? 0 Multiply 0.59 and 2. 1.18 Calculate -86.2*16. -1379.2 -2918 times 0.03 -87.54 What is the product of 1.4 and 14.9? 20.86 What is 1.8 times 47? 84.6 3 times 1268 3804 Multiply 256 and -2. -512 Product of 122 and 73. 8906 What is the product of -0.3 and -0.696? 0.2088 What is 3455 times -2? -6910 -4 * 21.85 -87.4 -0.34 times -61 20.74 -0.0247 * -0.13 0.003211 127*-0.1 -12.7 -0.13*0.048 -0.00624 Product of 17584 and -2. -35168 Calculate 2073*0.5. 1036.5 Work out 2 * -438. -876 Calculate -90*-0.3. 27 -83 times 0.09 -7.47 Multiply 2437 and -0.2. -487.4 Product of 0.046 and -0.4. -0.0184 What is the product of -4 and 417? -1668 47 * -3 -141 16 times 563 9008 -0.06 * 2212 -132.72 What is 0.5 times 0.5? 0.25 0*-34 0 Product of 0.11842 and -5. -0.5921 5 * -15.5 -77.5 0.1 times -169 -16.9 What is the product of -135 and 7? -945 0 times 210 0 Multiply -0.5 and -72. 36 What is -0.013 times 184? -2.392 28 times -0.08 -2.24 What is 0.5 times -3.1? -1.55 -5.36*4 -21.44 2*-7.892 -15.784 Work out 39.8 * -0.4. -15.92 Calculate -63*-34. 2142 Work out -3 * 31. -93 Work out -0.4 * -833. 333.2 -290*-1.6 464 What is the product of 84.9 and -3? -254.7 Product of 133 and 0.75. 99.75 2*8.38 16.76 5 * 7.1 35.5 0.3*2352 705.6 -0.098 * 15 -1.47 What is 24.9 times -0.5? -12.45 Product of 0.00883 and 0.5. 0.004415 2*0.31 0.62 -189*0.5 -94.5 -3*-0.138 0.414 What is -39 times 73? -2847 Work out -5 * -20. 100 What is the product of -0.41 and 0.071? -0.02911 Work out -0.3 * -427. 128.1 What is the product of 22 and 3.82? 84.04 What is 5 times 43? 215 Multiply -4.3 and -0.041. 0.1763 -3*-3.3 9.9 81 times 5 405 Multiply 4845 and 0.3. 1453.5 Product of 1142 and -0.7. -799.4 Product of -11.8 and -1. 11.8 12741 times 0.3 3822.3 What is the product of 0 and 1.62? 0 Calculate 3*-0.05. -0.15 -0.01 times 108 -1.08 Multiply -5 and -8.7. 43.5 -0.4 * -0.016 0.0064 Calculate -0.4*-3243. 1297.2 Multiply -0.1 and 68. -6.8 What is 529 times -5? -2645 1*13 13 What is 0.01 times -591? -5.91 Product of -0.1 and -271. 27.1 Multiply 69 and -55. -3795 Work out 2534 * -0.4. -1013.6 What is the product of 274 and -0.2? -54.8 What is the product of -12 and 48.8? -585.6 -2 * 207 -414 What is -1226 times -0.03? 36.78 Calculate 1943*-0.2. -388.6 Calculate 0.3*5.1. 1.53 Work out -70.6 * 0.2. -14.12 -0.2 times 0.33 -0.066 What is the product of 0.24 and 30? 7.2 Work out 54 * 40. 2160 Product of 317 and 1. 317 Calculate -80*-0.6. 48 What is 138 times -45? -6210 -2*2682 -5364 Product of -130 and 107. -13910 What is 2106 times 1? 2106 -0.06*0.0658 -0.003948 Multiply 0.1 and -141. -14.1 -35 * 0.06 -2.1 What is the product of -376 and -0.3? 112.8 Product of -7.5 and -1.1. 8.25 -6 * 12.2 -73.2 -0.3 times 80.9 -24.27 What is the product of 914 and -4? -3656 Product of -480.01 and 2. -960.02 -25 * 19.7 -492.5 Multiply -1.5 and 2.3. -3.45 What is 49 times -1? -49 Calculate -27*0.5. -13.5 What is 0.6 times -1260? -756 Calculate -3*-845. 2535 What is -17 times -75? 1275 Product of 0.5 and -67. -33.5 Calculate 4*-5.81. -23.24 What is 0.2 times 9? 1.8 -15*0.224 -3.36 -4.9 * -0.1 0.49 Calculate 2*1.77. 3.54 -0.1547 * -3 0.4641 Calculate 1*1477. 1477 Product of 1 and 4524. 4524 13 * 0.037 0.481 4.48 times 0.8 3.584 What is -0.2183 times -1? 0.2183 -407.7*-0.1 40.77 -0.7 times -2.1 1.47 What is 3.348 times 4? 13.392 -0.133 * 0.05 -0.00665 -7547*0.2 -1509.4 Product of 53 and 0.2. 10.6 Multiply -20.59 and -1. 20.59 -3*-0.049 0.147 0.76 times -0.8 -0.608 Calculate -0.14*-32. 4.48 What is 1.27 times -5? -6.35 Product of -4 and 3377. -13508 What is -0.0491 times -4? 0.1964 What is the product of -0.731 and 1? -0.731 0*6.1 0 -1.72*0.5 -0.86 What is the product of -2461 and -1? 2461 -7*1427 -9989 -0.4*265 -106 -0.9 * -136 122.4 Work out 34 * -0.2. -6.8 What is the product of -2 and -0.025? 0.05 What is -8.4 times 1.9? -15.96 Calculate 3*-5. -15 Product of -26 and -4. 104 Multiply -304 and 4. -1216 Work out 0.3 * 6. 1.8 Work out -8 * 15. -120 Multiply 5458 and -0.2. -1091.6 Product of 19 and 0.1. 1.9 3242 * -0.4 -1296.8 -639 times 4 -2556 -1.49 * -0.1 0.149 0.0121 times 0.1 0.00121 Calculate -0.1*35.9. -3.59 27 * 0.04 1.08 What is the product of -4.071 and 3? -12.213 0.01 times -0.587 -0.00587 What is -0.9 times 0.067? -0.0603 What is the product of 16 and 0.056? 0.896 Product of -0.3 and -1.34. 0.402 Calculate 41*1. 41 Calculate 3*-0.11. -0.33 0.3*-216 -64.8 What is 2.3 times 1764? 4057.2 What is 6126 times -2? -12252 Product of 0.02627 and -0.3. -0.007881 Multiply 3 and 10. 30 What is the product of -0.05 and -265? 13.25 Multiply -19 and 36. -684 What is -0.37 times 0.6? -0.222 What is the product of 0.066 and 4? 0.264 -1 times 0.028 -0.028 Work out 5 * -13.7. -68.5 -132*4 -528 What is -0.2 times 200? -40 Work out -6 * 1.5. -9 Product of 0.6476 and 0.2. 0.12952 -5850 * -0.1 585 Multiply 0.016 and 32. 0.512 6 times 16 96 Work out 7 * 0.237. 1.659 65.17*-0.07 -4.5619 40.2 times 5 201 Product of -24 and -1.7. 40.8 Product of -0.3 and 0.1747. -0.05241 What is 507 times -0.1? -50.7 -0.3 * 0.0418 -0.01254 Work out -0.08 * 0.38. -0.0304 Work out 0.6 * 3. 1.8 What is the product of -2 and -379? 758 Product of 0.1 and 0.124. 0.0124 0.1 times -0.0401 -0.00401 Calculate -12.5*4. -50 What is -231 times 0.4? -92.4 -7.5 times -0.1 0.75 What is the product of -0.037 and 0.2? -0.0074 What is the product of -487 and -17? 8279 Calculate 2*-446. -892 Product of -0.001 and 8. -0.008 Product of 8 and -7.1. -56.8 5 times 426.7 2133.5 Product of -1.89 and 0.06. -0.1134 Multiply -12536 and 5. -62680 Product of 62 and -3. -186 Calculate 0.64*366. 234.24 -0.564*0.3 -0.1692 -2 * 1895 -3790 Calculate -2.244*-0.5. 1.122 75 times 86 6450 317 * -1.1 -348.7 0*-5 0 -5 times 20.36 -101.8 Multiply -14 and 1222. -17108 -55 * 1.9 -104.5 693*3 2079 Multiply 3.2 and -25. -80 -102*4 -408 Multiply -3.8 and -109. 414.2 1124 * 0.4 449.6 What is 5 times -537? -2685 Multiply -0.04 and 32. -1.28 What is -0.4 times 18.3? -7.32 What is -96.48 times 0.4? -38.592 Work out -19.84 * 2. -39.68 0.09 * -138 -12.42 What is the product of -0.3 and -75.25? 22.575 What is the product of 0.0054 and -0.2? -0.00108 -0.5 times 0.91 -0.455 Product of -0.071 and -1. 0.071 -1885 * -0.5 942.5 Multiply 58 and 0.02. 1.16 -0.1 * 30 -3 What is -0.03 times 3.51? -0.1053 -0.111 times -0.1 0.0111 Product of 0.23 and 4. 0.92 0.4 times -9.43 -3.772 -1970 times 0.1 -197 Multiply -7.7 and 23. -177.1 Calculate 1.1*8. 8.8 -5*0.001 -0.005 771 times -3 -2313 Calculate -43*-28.2. 1212.6 -0.1 times 0.104 -0.0104 What is the product of -18 and -0.1? 1.8 Multiply 208 and -2. -416 Calculate 2*145. 290 Multiply -1.39 and 5. -6.95 4*3 12 What is the product of 22 and 41? 902 -152*-26 3952 -4*-45 180 What is -0.65 times 13? -8.45 -5 * -793 3965 Product of -16.4 and 0.2. -3.28 0.06819 * -5 -0.34095 Multiply -1609 and 2. -3218 What is 1 times 0.02? 0.02 1.11 * -0.05 -0.0555 What is the product of 3 and -0.356? -1.068 Multiply -4 and -22. 88 What is the product of -2465 and 0? 0 10 * -0.02 -0.2 What is -7.73 times 0? 0 Multiply 13 and -0.15. -1.95 What is the product of -0.08 and 3.8? -0.304 -25 times 4 -100 What is the product of 4 and 157? 628 -35.2 times 1.6 -56.32 0.2 times -1.54 -0.308 -122*-0.3 36.6 What is the product of -6.1 and -0.2? 1.22 0.194 * -3.1 -0.6014 What is the product of 7 and -16? -112 What is 0.1 times -88? -8.8 4384*-2 -8768 What is -2 times 66? -132 -7 * 3.6 -25.2 Multiply -9 and -0.0693. 0.6237 -14*0 0 What is the product of 16 and -1009? -16144 Product of -207 and -5. 1035 What is -1.6 times -0.011? 0.0176 What is the product of 43982 and -0.1? -4398.2 Multiply -0.4 and -2472. 988.8 What is 0.03 times -0.0534? -0.001602 Calculate -4283*-0.4. 1713.2 -0.3 * 185 -55.5 What is the product of 0.929 and -0.5? -0.4645 0.7*4.67 3.269 Multiply -98.9 and -1. 98.9 -
{ "pile_set_name": "DM Mathematics" }
common factor of 44 and h? 22 Suppose 0*d + 3*a - 75 = -5*d, 41 = 3*d + a. Suppose d = -8*g + 148. What is the greatest common divisor of g and 85? 17 Suppose -2*y - 28 = -4*n + 2*y, -n = 2*y - 4. Suppose 0*a = 5*a - 95. Suppose 0 = -z + a + 23. What is the greatest common divisor of n and z? 6 Suppose -2*y - 3*d - 2 = 0, -2*y + 5*d + 5 = -5*y. What is the greatest common factor of 125 and y? 5 Suppose -3*l = -17 - 25. Suppose 15 = -3*u, x + 3*u + 149 = u. Let m = -27 - x. Calculate the greatest common divisor of l and m. 14 Suppose 5*n - 57 = 2*l, n + 2*l = -0*l + 21. Let x = -21 + 33. Let u be (68/x + 3)*3. Calculate the greatest common divisor of u and n. 13 Suppose 2*u + 5*n = 299, -n = 2*u - 2*n - 317. Suppose 0 = -4*j + l + 222, 4*j - j = -4*l + u. Calculate the highest common factor of j and 5. 5 Suppose -399 = -24*b - 87. What is the highest common factor of b and 390? 13 Suppose h + 2 = -h, 2*y = -h + 31. Let i(f) = 12*f + 349. Let o be i(-29). Calculate the highest common divisor of o and y. 1 Suppose 3*t + 2*i - 7 = 2, 5*i = 2*t - 6. Suppose -4 = -0*o - 2*o. Suppose -8 = o*y, t*y + 33 = -0*c + c. What is the highest common divisor of 3 and c? 3 Suppose -u - 17*d = -18*d - 122, 3*d + 600 = 5*u. What is the highest common factor of 195 and u? 39 Let b be 11/2 + 9/18. Suppose 0 = b*c - 10 - 56. Suppose 3*y = 5*t + 89, -3*t - 61 - 32 = -3*y. What is the highest common factor of y and c? 11 Let l be -3*(1 - 91) - 4. Calculate the greatest common factor of l and 14. 14 Let l be (14/35)/(14/177240). What is the highest common divisor of l and 24? 24 Let p(l) = -2*l + 25. Let n be p(12). Let t be 96/(1 + -1 + n). What is the greatest common divisor of 24 and t? 24 Let w = -55 - -80. Let f be (w/(-10))/(3/(-6)). Suppose -r + 2 = 3, -f*r + 670 = 5*g. Calculate the greatest common factor of g and 15. 15 Suppose -v + 3*q = 3*v + 15, v = 2*q. Let o be (-75)/v*4/5. What is the highest common factor of o and 25? 5 Let g = 163 - 189. Let w(j) = -j - 10. Let z be w(g). Let b(y) = 2*y. Let o be b(1). Calculate the highest common divisor of z and o. 2 Suppose -18*c + 19*c - 81 = 0. Suppose 0 = 13*y - 8*y - 270. Calculate the highest common divisor of y and c. 27 Suppose -m + 7 = 12. Let d = m + 11. Calculate the highest common divisor of d and 24. 6 Let j be ((-24)/(-28))/(2/42). Suppose -56 = -26*f + 30*f. Let b = f + j. Calculate the greatest common factor of b and 8. 4 Let y be (-3)/12 + 10662/24. What is the greatest common factor of 12 and y? 12 Suppose p - 5*k = 19, -3*p + k - 2*k + 25 = 0. Calculate the highest common factor of 99 and p. 9 Let z(r) = -3 + 10*r - 3*r**2 + 3 + 4*r**2 + 4. Let a = -24 - -14. Let u be z(a). What is the highest common divisor of 8 and u? 4 Suppose 168 = -0*j + 3*j. Let s be 1/(-6) + (-150)/(-36). Suppose -1 - 31 = -s*k. Calculate the greatest common divisor of j and k. 8 Let g(f) = -40*f + 232. Let z be g(-15). What is the highest common factor of z and 26? 26 Let c(g) = 288*g**2 + 2*g - 2. Let z be c(1). Calculate the highest common factor of 32 and z. 32 Suppose -3*i - 25 = 26. Let g = 22 + i. Suppose 0 = 5*m + 3*p - 200, m = -m + 4*p + 80. What is the greatest common divisor of g and m? 5 Let m be 595/14*(1 - (-3)/(-15)). Let t = 64 + m. Let r = 13 + 1. Calculate the greatest common divisor of r and t. 14 Let h = 709 + -687. Calculate the greatest common factor of 77 and h. 11 Let a = -95 - -115. Suppose 3*u - 5*t - 280 = 0, -t + a = 4*t. Calculate the highest common divisor of u and 50. 50 Suppose -2*y = -2*h + 4*h - 104, 0 = -3*h + y + 148. Let s = h + -35. Let f = 26 + -16. Calculate the highest common factor of f and s. 5 Suppose -8*h - 942 = -11*h - 3*w, w = -5*h + 1574. Calculate the greatest common factor of 420 and h. 105 Let s = -66 + 79. Calculate the highest common divisor of s and 247. 13 Let d be 150/4*48/36. Let l = d - 39. Calculate the highest common factor of 55 and l. 11 Let h be (-60)/(-20)*(2 + 1). Suppose 1051 = 4*i + 5*q, -h*q + 8*q - 1 = 0. What is the highest common divisor of i and 24? 24 Let i = 197 - 149. Calculate the greatest common divisor of 72 and i. 24 Suppose -2*z + 3*x = x, z = 3*x - 8. Suppose 5*v = 2*q - 3*q + 41, 0 = 2*q - 5*v - 67. Calculate the highest common factor of q and z. 4 Suppose -119*s = 5*g - 115*s - 94, -67 = -4*g + 5*s. What is the highest common factor of g and 522? 18 Let c = 730 + -686. Calculate the highest common divisor of c and 4. 4 Let d(x) = x**2 + 7*x - 2. Let b be d(-10). Suppose 202 = 3*h + 2*f, 5*f + 11 = -9. Calculate the highest common factor of h and b. 14 Suppose 0 = -16*r + 14*r + 2. Suppose -t - r = -4. What is the greatest common divisor of 1 and t? 1 Suppose -3*i = -c + 49, c + 2*c = -2*i + 114. Let s = 23 - c. Let r = s - -31. Calculate the highest common factor of r and 21. 7 Let p be ((-10)/15)/(2/(-3)). Let m be -4*p/(8/(-14)). What is the highest common divisor of 14 and m? 7 Let j be 4/30*5*-21*-4. What is the greatest common divisor of j and 52? 4 Let s(u) = u**2 - 13*u + 8. Let f be s(9). Let n = f + 30. Suppose -4*q = -5*p - 73, -n*q + 25 = -p - 4. Calculate the greatest common divisor of 72 and q. 12 Let c(r) = 2*r**3 - 5*r**2 + 26*r - 31. Let k be c(5). Calculate the greatest common divisor of k and 84. 28 Let l(j) = -62*j**3 - 3*j**2 - 4*j + 1. Let c be l(-2). Calculate the highest common divisor of 87 and c. 29 Suppose 5*i - 6*a + 5*a = 0, 3*i - 2*a + 7 = 0. Calculate the greatest common divisor of i and 12. 1 Let v = -3014 + 3049. Let q = 43 + -29. What is the greatest common factor of v and q? 7 Let l be (-6)/((-3)/3 - 0). Suppose 2*g + 3*v + 1 = 0, -2*g + 5*v - l + 45 = 0. Suppose 4*m + 0*m - 308 = 0. What is the greatest common factor of m and g? 7 Suppose -3*r = 15, -5*r = 4*b - 32 - 15. Calculate the greatest common divisor of b and 14. 2 Let r be 4/(-30) + (-602)/(-15). Calculate the greatest common divisor of r and 100. 20 Suppose 5*j + 5*g - 19 = -4, 2*g = -j + 5. What is the greatest common factor of 71 and j? 1 Let u(n) = n**2 + 24*n + 129. Let i be u(-21). What is the greatest common divisor of i and 154? 22 Let f(m) = -6 + 0*m**3 - m**3 + 2 - 3*m - 3*m**2 + 1. Let g be f(-4). Calculate the highest common factor of g and 125. 25 Suppose 5*z = 2*k + 48, 0 = 44*z - 46*z - 5*k + 25. Suppose y - 5 = 0, -20 = v + 3*y - 8*y. Calculate the highest common divisor of z and v. 5 Suppose 9*l - 200 = l. Let u = 38 - l. What is the highest common factor of u and 117? 13 Suppose 4*m = 4, 5*o - 25 - 59 = -4*m. Calculate the highest common factor of 348 and o. 4 Suppose -2*p + 40 = o - 75, 3*o + 3*p - 354 = 0. Calculate the greatest common divisor of 77 and o. 11 Let c = 86 - 73. Let k(x) be the third derivative of 5*x**4/6 + 2*x**3/3 + 2*x**2. Let m be k(5). What is the greatest common divisor of m and c? 13 Let i be -2*(-194 - 2) + (1 - -1). Suppose 2*q - 2*j + 12 = 424, -5*q + 2*j = -1033. Let l = i - q. Calculate the highest common factor of 17 and l. 17 Suppose 1491 - 8891 = -40*d. What is the greatest common divisor of 703 and d? 37 Let w = 631 + -402. Suppose -5*p - m = -p - w, p = -3*m + 71. What is the greatest common divisor of 140 and p? 28 Let k be (0 - -6)/((-8)/(-68)). What is the highest common factor of 969 and k? 51 Let u(l) = 9*l + 70. Let h be u(2). What is the greatest common factor of 56 and h? 8 Suppose 32*u = -5*u + 10582. What is the greatest common factor of 110 and u? 22 Suppose 42*k = 51*k - 198. Let d = 7 + -2. Suppose -d*u + 2*m + 60 = 0, -k + 7 = -3*m. What is the greatest common divisor of 70 and u? 14 Let r = 17 + 338. What is the highest common divisor of r and 994? 71 Suppose a + 4*v = 25, 0 = 3*v - 7 - 5. Suppose a = 16*j - 15*j. What is the greatest common divisor of 99 and j? 9 Suppose -4*y + 3*w - 2*w = -412, w - 212 = -2*y. What is the highest common factor of y and 26? 26 Suppose -3*z + 89 = 2*c, -3*c + 17 = 3*z - 67. Suppose -3*q + 4*d = -18, -3*d + 69 - 10 = 5*q. Let f = q - 7. Calculate the highest common divisor of f and z. 3 Let z(r) = -r**2 - 11*r - 4. Let q be z(-10). Suppose 24 = 9*p - q*p. Let y = p - 0. What is the greatest common divisor of 16 and y? 8 Let j = -13 + -4. Let g = -11 - j. Let u be (-956)/(-20) + (-2)/(-10). What is the highest common factor of u and g? 6 Let y(x
{ "pile_set_name": "DM Mathematics" }
mi. 2/171 What is prob of sequence fpyf when four letters picked without replacement from plyffffpffpypkp? 5/546 What is prob of sequence qgz when three letters picked without replacement from {z: 1, b: 2, g: 8, d: 2, k: 4, q: 2}? 8/2907 Calculate prob of sequence gpiv when four letters picked without replacement from rppvgpggirvriggi. 3/1456 What is prob of sequence hddn when four letters picked without replacement from {d: 4, h: 2, n: 1, z: 2}? 1/126 What is prob of sequence tpxa when four letters picked without replacement from sastspssaxssassttpx? 1/2584 What is prob of sequence os when two letters picked without replacement from {o: 2, g: 1, d: 1, s: 3, j: 4}? 3/55 Calculate prob of sequence fn when two letters picked without replacement from fnnnnnnnfnnffffnnn. 4/17 Four letters picked without replacement from {h: 2, l: 1, e: 2}. Give prob of sequence eehh. 1/30 Four letters picked without replacement from {k: 10}. Give prob of sequence kkkk. 1 Calculate prob of sequence ykvk when four letters picked without replacement from kyvyk. 1/30 Four letters picked without replacement from {v: 3, g: 2, y: 4, f: 3, h: 3, o: 1}. Give prob of sequence fhvo. 9/14560 Three letters picked without replacement from rrsvrrjvbrttbj. What is prob of sequence jvr? 5/546 Calculate prob of sequence rtt when three letters picked without replacement from {t: 2, n: 3, r: 1, a: 1}. 1/105 Calculate prob of sequence xl when two letters picked without replacement from xxxllxxxlxx. 12/55 Calculate prob of sequence ddjd when four letters picked without replacement from djdjddj. 3/35 Four letters picked without replacement from {m: 2, p: 1, z: 1, n: 1, i: 3, h: 3}. What is prob of sequence mpin? 1/1320 Four letters picked without replacement from {k: 1, j: 3, v: 2, g: 3, d: 1, x: 2}. Give prob of sequence djkj. 1/1980 Calculate prob of sequence rw when two letters picked without replacement from {q: 1, w: 1, n: 4, r: 4}. 2/45 Four letters picked without replacement from {w: 2, x: 9}. Give prob of sequence wxxx. 7/55 Calculate prob of sequence jd when two letters picked without replacement from {d: 1, q: 1, j: 1, r: 1, o: 1}. 1/20 What is prob of sequence ssxs when four letters picked without replacement from {x: 5, y: 3, s: 2}? 0 Calculate prob of sequence zx when two letters picked without replacement from {y: 1, x: 10, a: 2, z: 4}. 5/34 Calculate prob of sequence oogo when four letters picked without replacement from ggggooyo. 1/70 Two letters picked without replacement from cggrggict. Give prob of sequence tg. 1/18 Two letters picked without replacement from {t: 4, e: 4, n: 3}. What is prob of sequence et? 8/55 Three letters picked without replacement from uaaunnaunauaanna. What is prob of sequence aaa? 1/16 Two letters picked without replacement from vvdvdhv. What is prob of sequence hd? 1/21 What is prob of sequence vo when two letters picked without replacement from tototvvvovtvot? 10/91 What is prob of sequence syn when three letters picked without replacement from nys? 1/6 What is prob of sequence iioo when four letters picked without replacement from {i: 3, o: 8}? 7/165 What is prob of sequence fs when two letters picked without replacement from fydygfdssyffss? 8/91 Calculate prob of sequence mn when two letters picked without replacement from {m: 1, n: 2}. 1/3 Calculate prob of sequence sgk when three letters picked without replacement from {n: 5, s: 3, k: 9, g: 2}. 3/323 What is prob of sequence of when two letters picked without replacement from fovovovvfvoovvvvvvv? 5/171 Four letters picked without replacement from {a: 8, l: 2, p: 5}. Give prob of sequence appl. 8/819 Four letters picked without replacement from yvyovyvovvyyvovooyvy. Give prob of sequence yoyv. 14/969 Three letters picked without replacement from kbbbzbzzzzbzkkkkzzbb. What is prob of sequence zbk? 7/171 Four letters picked without replacement from grgjiigigirirrgg. Give prob of sequence gjgg. 1/364 Calculate prob of sequence zok when three letters picked without replacement from {e: 2, h: 1, o: 1, k: 2, p: 1, z: 1}. 1/168 Four letters picked without replacement from {l: 2, y: 3, k: 4}. What is prob of sequence yyky? 1/126 Three letters picked without replacement from kdbkdkkkktbbtbd. Give prob of sequence kkb. 4/91 What is prob of sequence eto when three letters picked without replacement from {e: 12, o: 3, t: 2}? 3/170 Four letters picked without replacement from {f: 4, m: 2, r: 10}. What is prob of sequence rfrf? 9/364 Calculate prob of sequence sf when two letters picked without replacement from {s: 1, m: 1, f: 1}. 1/6 What is prob of sequence yxx when three letters picked without replacement from xxxxxxxxxxxyxyxyxx? 35/272 What is prob of sequence pl when two letters picked without replacement from lpchacfa? 1/56 Two letters picked without replacement from iytritrtrttrtrwyr. Give prob of sequence yi. 1/68 What is prob of sequence ll when two letters picked without replacement from ajlllxllllllxx? 36/91 Calculate prob of sequence dq when two letters picked without replacement from {q: 3, d: 9, y: 4, o: 2, i: 1}. 3/38 Four letters picked without replacement from {i: 2, u: 11}. What is prob of sequence uiui? 1/78 What is prob of sequence pw when two letters picked without replacement from gnpkwna? 1/42 Three letters picked without replacement from rjqeegw. Give prob of sequence eqw. 1/105 Three letters picked without replacement from {r: 2, n: 2, k: 2, z: 3}. What is prob of sequence zkz? 1/42 Two letters picked without replacement from dwwddwdwddwdwwdddwww. What is prob of sequence dw? 5/19 Two letters picked without replacement from vkwkkvwwwwkkwvk. Give prob of sequence vv. 1/35 What is prob of sequence rr when two letters picked without replacement from {p: 4, f: 2, r: 1, h: 1}? 0 Two letters picked without replacement from {z: 2, y: 1}. Give prob of sequence zy. 1/3 What is prob of sequence kkaa when four letters picked without replacement from akaa? 0 What is prob of sequence yooq when four letters picked without replacement from oyyqoyooqqooqqqooq? 49/3060 Two letters picked without replacement from {w: 2, z: 1, t: 2}. Give prob of sequence ww. 1/10 Four letters picked without replacement from scsssscsssc. Give prob of sequence cscs. 7/165 Three letters picked without replacement from {h: 4, m: 4, v: 3}. Give prob of sequence vvv. 1/165 What is prob of sequence lln when three letters picked without replacement from {a: 2, k: 3, l: 3, n: 10}? 5/408 Calculate prob of sequence cpc when three letters picked without replacement from {p: 4, k: 2, c: 4}. 1/15 Calculate prob of sequence ri when two letters picked without replacement from {t: 4, r: 8, q: 2, i: 1}. 4/105 What is prob of sequence hh when two letters picked without replacement from {h: 5}? 1 Three letters picked without replacement from {t: 3, v: 4, k: 7}. Give prob of sequence tkt. 1/52 Calculate prob of sequence rm when two letters picked without replacement from ohuaouuorumauuuuouaa. 1/380 Calculate prob of sequence ys when two letters picked without replacement from {s: 3, y: 4, b: 3, n: 1, x: 1, l: 3}. 2/35 What is prob of sequence jjp when three letters picked without replacement from pgpgggjjggg? 2/495 What is prob of sequence ymm when three letters picked without replacement from {m: 3, y: 1}? 1/4 Two letters picked without replacement from {f: 2, t: 6, n: 3, x: 2}. Give prob of sequence nt. 3/26 Two letters picked without replacement from {d: 1, w: 3, x: 1}. Give prob of sequence wx. 3/20 Three letters picked without replacement from ephpehepjpjph. What is prob of sequence pjh? 5/286 What is prob of sequence ww when two letters picked without replacement from www? 1 Three letters picked without replacement from tttttttrttttttrttttt. What is prob of sequence rtr? 1/190 Calculate prob of sequence eri when three letters picked without replacement from {k: 1, i: 1, t: 1, r: 1, f: 1, e: 2}. 1/105 Three letters picked without replacement from {n: 15, f: 5}. What is prob of sequence nnn? 91/228 Three letters picked without replacement from {w: 3, x: 6, m: 4, c: 2}. What is prob of sequence wmm? 6/455 Four letters picked without replacement from fssssfsfsssff. What is prob of sequence sfff? 4/143 Two letters picked withou
{ "pile_set_name": "DM Mathematics" }
t is the tens digit of 924594? 9 What is the hundreds digit of 17510001? 0 What is the hundreds digit of 1678570? 5 What is the ten thousands digit of 1195334? 9 What is the units digit of 866452? 2 What is the hundred thousands digit of 860078? 8 What is the units digit of 994077? 7 What is the thousands digit of 8278728? 8 What is the millions digit of 4735125? 4 What is the hundred thousands digit of 4665792? 6 What is the ten millions digit of 18752030? 1 What is the hundreds digit of 288719? 7 What is the hundreds digit of 2289097? 0 What is the hundreds digit of 21697287? 2 What is the ten millions digit of 17152757? 1 What is the units digit of 88181? 1 What is the thousands digit of 501101? 1 What is the millions digit of 5211741? 5 What is the ten thousands digit of 20099588? 9 What is the tens digit of 3511155? 5 What is the ten thousands digit of 68094? 6 What is the hundreds digit of 20063? 0 What is the hundreds digit of 4081408? 4 What is the tens digit of 41386? 8 What is the ten thousands digit of 296072? 9 What is the ten thousands digit of 940843? 4 What is the units digit of 2178971? 1 What is the ten millions digit of 10784060? 1 What is the units digit of 1706036? 6 What is the millions digit of 28195695? 8 What is the hundreds digit of 316268? 2 What is the tens digit of 30769242? 4 What is the millions digit of 1075952? 1 What is the units digit of 9679623? 3 What is the hundred thousands digit of 2279868? 2 What is the ten thousands digit of 371772? 7 What is the hundreds digit of 2052250? 2 What is the thousands digit of 33453664? 3 What is the hundreds digit of 237110? 1 What is the ten thousands digit of 3758435? 5 What is the millions digit of 31744512? 1 What is the tens digit of 56479? 7 What is the hundreds digit of 305293? 2 What is the units digit of 932713? 3 What is the ten thousands digit of 694759? 9 What is the tens digit of 3447952? 5 What is the millions digit of 3727830? 3 What is the hundreds digit of 109546? 5 What is the thousands digit of 863821? 3 What is the tens digit of 130850? 5 What is the units digit of 1808909? 9 What is the hundreds digit of 596262? 2 What is the millions digit of 3656591? 3 What is the units digit of 138482? 2 What is the hundreds digit of 755474? 4 What is the hundreds digit of 32751184? 1 What is the units digit of 7966899? 9 What is the hundreds digit of 502606? 6 What is the tens digit of 8328097? 9 What is the hundreds digit of 228525? 5 What is the thousands digit of 13858? 3 What is the thousands digit of 146820? 6 What is the hundreds digit of 3928985? 9 What is the millions digit of 14447383? 4 What is the units digit of 134478? 8 What is the hundreds digit of 1250342? 3 What is the ten thousands digit of 82064? 8 What is the tens digit of 11952156? 5 What is the ten thousands digit of 39009? 3 What is the tens digit of 940219? 1 What is the hundreds digit of 306995? 9 What is the ten thousands digit of 6837868? 3 What is the thousands digit of 1316236? 6 What is the thousands digit of 1456866? 6 What is the units digit of 333962? 2 What is the millions digit of 1028666? 1 What is the thousands digit of 32312? 2 What is the hundreds digit of 6318990? 9 What is the hundred thousands digit of 351417? 3 What is the units digit of 175412? 2 What is the hundred thousands digit of 4929132? 9 What is the ten thousands digit of 3164373? 6 What is the units digit of 12807054? 4 What is the tens digit of 1086549? 4 What is the hundreds digit of 145474? 4 What is the hundreds digit of 2482318? 3 What is the thousands digit of 147820? 7 What is the tens digit of 4772667? 6 What is the hundreds digit of 167579? 5 What is the hundreds digit of 849343? 3 What is the ten thousands digit of 9851214? 5 What is the hundreds digit of 1384349? 3 What is the thousands digit of 340932? 0 What is the tens digit of 1291584? 8 What is the ten thousands digit of 60160? 6 What is the units digit of 876756? 6 What is the thousands digit of 420010? 0 What is the tens digit of 470342? 4 What is the hundred thousands digit of 298650? 2 What is the units digit of 986143? 3 What is the millions digit of 2331125? 2 What is the thousands digit of 266358? 6 What is the hundred thousands digit of 297775? 2 What is the tens digit of 892042? 4 What is the units digit of 2734703? 3 What is the tens digit of 548952? 5 What is the hundreds digit of 126985? 9 What is the tens digit of 3827051? 5 What is the hundreds digit of 14200256? 2 What is the units digit of 287105? 5 What is the ten thousands digit of 12406? 1 What is the hundreds digit of 96977? 9 What is the thousands digit of 2892421? 2 What is the thousands digit of 5368890? 8 What is the hundreds digit of 24229692? 6 What is the hundred thousands digit of 7898669? 8 What is the hundreds digit of 7736787? 7 What is the hundred thousands digit of 223841? 2 What is the tens digit of 236127? 2 What is the ten thousands digit of 10527961? 2 What is the ten thousands digit of 3127426? 2 What is the ten thousands digit of 4600509? 0 What is the hundreds digit of 3327463? 4 What is the hundred thousands digit of 417653? 4 What is the hundred thousands digit of 915158? 9 What is the hundreds digit of 1862781? 7 What is the hundred thousands digit of 33156359? 1 What is the thousands digit of 2276111? 6 What is the units digit of 51393? 3 What is the ten thousands digit of 831963? 3 What is the thousands digit of 544454? 4 What is the ten thousands digit of 11588849? 8 What is the millions digit of 1660695? 1 What is the tens digit of 3657061? 6 What is the hundred thousands digit of 345356? 3 What is the hundreds digit of 4337926? 9 What is the thousands digit of 11473241? 3 What is the units digit of 356604? 4 What is the units digit of 2907280? 0 What is the ten thousands digit of 2629594? 2 What is the hundreds digit of 473196? 1 What is the units digit of 10718633? 3 What is the ten thousands digit of 2766695? 6 What is the tens digit of 720340? 4 What is the ten thousands digit of 1759395? 5 What is the hundreds digit of 177634? 6 What is the ten thousands digit of 3299665? 9 What is the ten thousands digit of 262816? 6 What is the hundreds digit of 39636759? 7 What is the ten thousands digit of 138168? 3 What is the thousands digit of 383229? 3 What is the ten thousands digit of 1200992? 0 What is the hundred thousands digit of 3209160? 2 What is the thousands digit of 673897? 3 What is the tens digit of 1689790? 9 What is the hundred thousands digit of 2568410? 5 What is the tens digit of 1265385? 8 What is the thousands digit of 727716? 7 What is the tens digit of 209128? 2 What is the millions digit of 19195820? 9 What is the units digit of 148496? 6 What is the hundreds digit of 2970214? 2 What is the millions digit of 3441141? 3 What is the thousands digit of 111609? 1 What is the hundred thousands digit of 3611950? 6 What is the thousands digit of 455733? 5 What is the units digit of 11809813? 3 What is the tens digit of 493260? 6 What is the millions digit of 2856646? 2 What is the thousands digit of 6383596? 3 What is the tens digit of 98743? 4 What is the hundred thousands digit of 7496685? 4 What is the hundreds digit of 1377911? 9 What is the tens digit of 58492? 9 What is the hundred thousands digit of 730848? 7 What is the units digit of 454503? 3 What is the ten thousands digit of 1203598? 0 What is the hundreds digit of 39236? 2 What is the millions digit of 3180266? 3 What is the tens digit of 4250038? 3 What is the units digit of 1907283? 3 What is the thousands digit of 785067? 5 What is the ten millions digit of 22302955? 2 What is the ten thousands digit of 1498636? 9 What is the ten thousands digit of 1074105? 7 What is the hundreds digit of 1111807? 8 What is the ten thousands digit of 145385? 4 What is the thousands digit of 973719? 3 What is the ten thousands digit of 1383638? 8 What is the hundred thousands digit of 369056? 3 What is the hundreds digit of 87418? 4 What is the tens digit of 304904? 0 What is the units digit of 876091? 1 What is the millions digit of 2825153? 2 What is the tens digit of 149283? 8 What is the tens digit of 1935771? 7 What is the thousands digit of 2434052? 4 What is the hundreds digit of 9
{ "pile_set_name": "DM Mathematics" }
**2 + 503706*b**2. -2947372*b**2 Collect the terms in 521*r**3 + 0*r + 0*r + 39487*r**2 - 907270*r**2 - 522*r**3. -r**3 - 867783*r**2 Collect the terms in 120*b + 15*b**2 + 113*b + 120*b - 136*b - 215*b. 15*b**2 + 2*b Collect the terms in 78653 - 2*w - 35223 + 97500 - 11485. -2*w + 129445 Collect the terms in 480*v + 75 - 127 - 24 + 76. 480*v Collect the terms in 1842*c**3 - 694*c**3 - 755*c**3 - 520*c**3. -127*c**3 Collect the terms in 312359 + 0*s + 0*s - 312359 - 675*s**2. -675*s**2 Collect the terms in -10*y**2 + 3277 + 3*y**2 + 3275 - 6559 + 2*y**2. -5*y**2 - 7 Collect the terms in -40*a + 117*a - 4 - 37*a - 6 - 33*a - 16*a. -9*a - 10 Collect the terms in -46835 + 140850 - 3*p**2 - 47175 - 46840 + p**2. -2*p**2 Collect the terms in -831*z - 828*z + 2487*z - 822*z. 6*z Collect the terms in -10 - 5 - 14 - c**3 + 28 - 24*c + 766*c**2. -c**3 + 766*c**2 - 24*c - 1 Collect the terms in -980 + 323 + 213*s + 321 - 32*s + 337. 181*s + 1 Collect the terms in 6*o**3 - o**3 + 6*o**2 - 4*o**2. 5*o**3 + 2*o**2 Collect the terms in -951*p + 27*p + 64*p + 251*p**2. 251*p**2 - 860*p Collect the terms in -2277*v**2 - 8150*v**2 - 11445*v**2 - 9569*v**2 - 8932*v**2. -40373*v**2 Collect the terms in 23912*s**2 - 47720*s**2 + 23808*s**2 - s**3 + 12*s - 12*s. -s**3 Collect the terms in 69012*u**2 + 31346*u**2 + 13619*u**2. 113977*u**2 Collect the terms in 497*o**2 + 172*o**2 + 50*o**2 + 17*o**2 + 218*o**2. 954*o**2 Collect the terms in 457*k**3 + 540*k**3 - 394*k**3 + 442*k**3 + 18*k**3. 1063*k**3 Collect the terms in -25 + 18 + 4*f + 1 - 3. 4*f - 9 Collect the terms in 5499*n**2 + 4794*n**2 - 12008*n**2. -1715*n**2 Collect the terms in 1674 - 4102 + 0*w + 2021 + 0*w + 4*w. 4*w - 407 Collect the terms in -3869*b - 2090*b - 4804*b + 896*b - 2838*b. -12705*b Collect the terms in 33 - 12 + 28 + 3 - 27*q. -27*q + 52 Collect the terms in -540*g**2 + 974*g**2 - 386*g**2. 48*g**2 Collect the terms in -42*v - 1 - 1 + 7858*v**2 + 6170*v**2. 14028*v**2 - 42*v - 2 Collect the terms in 856 + 4379 - y**2 + 12*y**2 - 817. 11*y**2 + 4418 Collect the terms in -21203*l + 5 - 21196*l - 21197*l + 12 + 63593*l. -3*l + 17 Collect the terms in -696*z**3 - 1016*z**3 - 256*z**3 + 1966*z**3. -2*z**3 Collect the terms in -63 - 577*d**2 + 124*d - 61 - 120*d + 124. -577*d**2 + 4*d Collect the terms in 163481066*h**3 + 163480902*h**3 - 326961969*h**3. -h**3 Collect the terms in -914*c + 1996*c - 5408*c - 10749*c. -15075*c Collect the terms in 514 + 484 - 998 - 836*i. -836*i Collect the terms in 15*g**2 - 133*g**2 + 383*g**2 - 113*g**2 - 102*g**2. 50*g**2 Collect the terms in -5155*d**3 + 1732*d**3 + 1710*d**3 + 1722*d**3. 9*d**3 Collect the terms in 1233*o + 2*o**2 - 24*o**2 - 13*o**2 - 871*o - 364*o. -35*o**2 - 2*o Collect the terms in 268*p**2 + 497*p**2 + 136597521 - 188*p**2 - 136597521. 577*p**2 Collect the terms in 127 - 127 + 7075*k - 7234*k. -159*k Collect the terms in -592599*x + 462603*x - 1120396*x. -1250392*x Collect the terms in 74*x - x**2 - 32*x - 99*x + 10. -x**2 - 57*x + 10 Collect the terms in 62*c - 54*c + 22 - 57 + 12 - 2. 8*c - 25 Collect the terms in -873*j + 56*j**2 - 524*j - 58*j**2. -2*j**2 - 1397*j Collect the terms in 3534*w - 22*w**3 + 91*w**3 - 23*w**3 - 37*w**3 - 3534*w. 9*w**3 Collect the terms in 10*h + 18119 - 6027 - 6023 - 6069. 10*h Collect the terms in -1631*s**2 - 2191*s**2 + s**3 + s + 1327*s**2. s**3 - 2495*s**2 + s Collect the terms in -603*j**3 + 227*j**3 + 163*j**3 + 160*j**3 + 52*j**3. -j**3 Collect the terms in -10064*t**2 + 4326*t**2 + 10927*t**2 + 10010*t**2 + 10210*t**2. 25409*t**2 Collect the terms in -731387 + 21*c + 365105 + 366282. 21*c Collect the terms in -480*h**2 + 1641*h**2 - 3*h**3 - 484*h**2 - 461*h**2 - 216*h**2 + 2*h**3. -h**3 Collect the terms in 79714010 - 39856999 - 39857011 - 23*d. -23*d Collect the terms in -63106*k**2 + 21639*k**2 + 17667*k**2 + 19571*k**2. -4229*k**2 Collect the terms in l - 73 + 6077 + 8161 + 0*l - 1688. l + 12477 Collect the terms in 14293*x**2 + x**3 + 14453*x**2 + 14454*x**2 + 14457*x**2 + 14459*x**2 - 72116*x**2. x**3 Collect the terms in -23 - 86*x**2 + 10 - 39 - 818*x**2 - x. -904*x**2 - x - 52 Collect the terms in 2*a**2 - 74573*a + 149474*a - 74949*a. 2*a**2 - 48*a Collect the terms in -7*r + 211*r - 4 - 221*r + 4 - 4*r. -21*r Collect the terms in -334993*g + 1728 - 1728. -334993*g Collect the terms in -47*x - 286*x + 233*x - 625*x - 118*x**2. -118*x**2 - 725*x Collect the terms in 2 + 3*d + 10*d**2 + 20*d**2 + 187*d**2 + 81*d**2. 298*d**2 + 3*d + 2 Collect the terms in -551*l**2 - 2*l + 1152*l**2 - 532*l**2. 69*l**2 - 2*l Collect the terms in 199*f - 595*f + 271*f + 256*f. 131*f Collect the terms in 881*f + 2233*f + 522*f + 1631*f - 965*f. 4302*f Collect the terms in g**3 + 1771*g**2 - 6385*g**2 - 5964*g**2. g**3 - 10578*g**2 Collect the terms in -32*g + 17352366095*g**2 + 32*g - 17352366085*g**2. 10*g**2 Collect the terms in -105 + 83*f + 91 - 24*f - 23*f - 19*f - 18*f. -f - 14 Collect the terms in 28*q + 1866 + 157*q - 1869. 185*q - 3 Collect the terms in 70*l**3 + 52*l**3 + 0*l**2 + l**2 - 325*l**3 + 59*l**3. -144*l**3 + l**2 Collect the terms in 55 + 8364*g + 8233*g - 16601*g. -4*g + 55 Collect the terms in -68*g**3 + 19*g**3 + 9*g**3 + 8*g**3 + 2*g**3 + 26*g**3 + 9*g**3. 5*g**3 Collect the terms in -21659*v**3 + 0*v + 10744*v**3 + 0*v + 10954*v**3. 39*v**3 Collect the terms in -1406 + 539 + 16*y + y + 434 + 457 + 0*y. 17*y + 24 Collect the terms in -3087 - 3309 + 1256 + 2*t. 2*t - 5140 Collect the terms in 143*p - 13*p**2 - 143*p + 3*p**3 - 5 - 63*p**2. 3*p**3 - 76*p**2 - 5 Collect the terms in -9745*w + 43 - 3*w**2 - 91 + 37 + 12 + 2*w**2. -w**2 - 9745*w + 1 Collect the terms in 170*a + 199*a + 145*a - 561*a + 157*a. 110*a Collect the terms in 5*g + 153*g**2 + 19*g**3 - 153*g**2. 19*g**3 + 5*g Collect the terms in -484*a - 481*a - 298 + 963*a - 293 - 239 + 830. -2*a Collect the terms in 29007 - 3761*g**3 + 798*g**3 - 29007. -2963*g**3 Collect the terms in -29 + 21466*s + 60 - 27. 21466*s + 4 Collect the terms in 1635853*s - 3271663*s + 1635818*s - 2 + 2. 8*s Collect the terms in 5447*m**3 + 4924*m - 5459*m**3 + 1013*m. -12*m**3 + 5937*m Collect the terms in -2488017*d - 2*d**2 + 4*d**3 + 2488017*d. 4*d**3 - 2*d**2 Collect the terms in -13289 - 551*h - 18675 + 549*h. -2*h - 31964 Collect the terms in -2157*w - 2 + 2200*w - 6. 43*w - 8 Collect the terms in 326*f + 317*f - 11*f**2 - 1230*f + 271*f + 318*f. -11*f**2 + 2*f Collect the terms in -509*k + 115*k + 109*k + 153*k + 134*k. 2*k Collect the terms in 13823*h + 13823*h + 13824*h - 69118*h + 13820*h + 13823*h. -5*h Collect the terms in -971*n - 7424*n - 7365*n. -15760*n Collect the terms in -1098*s**3 - 29075157*s + 29075157*s. -1098*s**3 Collect the terms in -232550269*s**3 + 465100554*s**3 - 232550280*s**3. 5*s**3 Collect the terms in -92 + 738*o**2 - 1464*o**2 + 728*o**2 + 44 + 48. 2*o**2 Collect the terms in -14523 - 315*w**2 + 7257 + 7266. -315*w**2 Collect the terms in -8784166 - 8784510 - a + 4*a - 6*a + 17568676. -3*a Collect the terms in -7*g**3 + 2*g**3 + 42357*g**2 - 42369*g**2 + 4*g**3. -g**3 - 12*g**2 Collect the terms in -30*z + 1399 + 1333 - 8*z - 2732. -38*z Collect the terms in -1361*d**2 - 304*d**2 - 1006*d**2 + 400*d**2. -2271*d**2 Collect the terms in 4*s + 1724 - s - s + 229. 2*s + 1953 Collect the terms in -189 + 561 - 189 - 16*f + 4*f - 192. -12*f - 9 Collect the terms in 2*d - 3005*d**3 + 1046*d**3 + 917*d**3 - 2*d + 1062*d**3. 20*d**3 Collect the terms in -196*o**3 + 6*o - 6*o + 26464 + 0*o. -196*o**3 + 26464 Collect the terms in 2073*m - 4 - 2524*m + 1345*m + 5. 894*m + 1 Collect the terms in -36227*y**3 - 5297*y**3 + 150202*y**3 + 100211*y**3. 208889*y**3 Collect the terms in 9*t - 242*t**3 - 235*t**3 - 9*t + 388*t**3. -89*t**3 Collect the terms in -395*u + 1625*u - 421*u - 403*u - 411*u. -5*u Collect the terms in 4*c**2 + 30*c + 9 + 0 - 50*c + 16. 4*c**2 - 20*c + 25 Collect the terms in -3777*y - 6397*y + 12025*y - 2. 1851*y - 2 Collect the terms in -45 + 31 + 12553*d**2 - 6437*d**2 - 6118*d**2 + 14. -2*d**2 Collect the terms in 9*v**2 - 2*v**2 - 9*v**2 - 2638*v + 11*v**2 + 8*v**2. 17*v**2 - 2638*v Collect the terms in -5349089*s - 1525*s**3 + 5349089*s - 3. -1525*s**3 - 3 Collect the terms in -85*w**2 - 78*w
{ "pile_set_name": "DM Mathematics" }
s picked without replacement from {t: 2, m: 2, c: 2, x: 1, y: 1}. Give prob of sequence yc. 1/28 What is prob of sequence hujj when four letters picked without replacement from hjjuu? 1/30 Three letters picked without replacement from eeelmlmmeeeeleeeeee. What is prob of sequence lme? 13/646 Two letters picked without replacement from {j: 1, a: 3}. What is prob of sequence jj? 0 Calculate prob of sequence wf when two letters picked without replacement from ftwffiiiffft. 1/22 Calculate prob of sequence xrmr when four letters picked without replacement from wrhmmmwrxw. 1/840 Calculate prob of sequence rrs when three letters picked without replacement from {q: 2, s: 2, r: 7}. 14/165 What is prob of sequence ww when two letters picked without replacement from whwhwwwwwwh? 28/55 Calculate prob of sequence nsab when four letters picked without replacement from {b: 5, n: 3, a: 2, s: 9}. 15/5168 What is prob of sequence af when two letters picked without replacement from fafaffafafafaaafaaaf? 99/380 What is prob of sequence pz when two letters picked without replacement from {d: 1, n: 3, z: 1, q: 2, p: 10}? 5/136 Three letters picked without replacement from {u: 3, c: 15}. Give prob of sequence ccc. 455/816 Four letters picked without replacement from rrrrrzrzrrz. What is prob of sequence rrzr? 7/55 Four letters picked without replacement from sgsssssssgsssssssss. What is prob of sequence sgss? 5/57 Calculate prob of sequence tvv when three letters picked without replacement from {v: 12, t: 6}. 11/68 What is prob of sequence cim when three letters picked without replacement from eryycrmymyrryrmiy? 1/1360 Calculate prob of sequence cnh when three letters picked without replacement from {s: 1, c: 1, h: 1, n: 1, a: 1}. 1/60 Calculate prob of sequence ybby when four letters picked without replacement from {b: 2, y: 5}. 1/21 What is prob of sequence jsdr when four letters picked without replacement from {s: 2, j: 6, r: 4, d: 1, h: 2}? 2/1365 Three letters picked without replacement from {y: 10}. Give prob of sequence yyy. 1 Calculate prob of sequence wnn when three letters picked without replacement from wwwqwwwqqqnwqwwwnq. 5/1224 What is prob of sequence idcw when four letters picked without replacement from iiwsicisiwscds? 5/6006 Three letters picked without replacement from qjjqqjqjjvjdjvvjdjj. Give prob of sequence djd. 10/2907 Calculate prob of sequence olol when four letters picked without replacement from {l: 2, o: 17}. 1/171 Calculate prob of sequence pxn when three letters picked without replacement from {c: 4, p: 2, y: 2, l: 2, x: 2, n: 2}. 1/273 Calculate prob of sequence cmm when three letters picked without replacement from cxbbcbmbcmxmfxcxxb. 1/204 Calculate prob of sequence mgmm when four letters picked without replacement from ggmmmmmmmg. 1/8 Four letters picked without replacement from cjcrcaa. Give prob of sequence jara. 1/420 Two letters picked without replacement from cpuukcuuhucuucucph. What is prob of sequence uc? 20/153 Calculate prob of sequence gpz when three letters picked without replacement from qppggqgzgzz. 4/165 Three letters picked without replacement from {z: 5, j: 1, u: 1, l: 2}. What is prob of sequence luj? 1/252 Two letters picked without replacement from {e: 4, h: 3, t: 4}. What is prob of sequence te? 8/55 What is prob of sequence ttl when three letters picked without replacement from {c: 4, j: 4, v: 4, n: 1, t: 5, l: 1}? 10/2907 Two letters picked without replacement from {n: 1, c: 2}. What is prob of sequence cc? 1/3 Calculate prob of sequence rr when two letters picked without replacement from {r: 2, v: 4}. 1/15 Two letters picked without replacement from llllliiilliiiiilil. Give prob of sequence ll. 4/17 What is prob of sequence tt when two letters picked without replacement from {u: 2, m: 1, a: 6, t: 3}? 1/22 What is prob of sequence cwc when three letters picked without replacement from {j: 2, w: 4, c: 4}? 1/15 Calculate prob of sequence vvk when three letters picked without replacement from {v: 2, k: 16}. 1/153 What is prob of sequence eeee when four letters picked without replacement from {d: 5, b: 7, x: 1, i: 1, e: 5}? 5/3876 Calculate prob of sequence uj when two letters picked without replacement from iuiiuiiuj. 1/24 Calculate prob of sequence so when two letters picked without replacement from oosskqskkkkksbok. 1/20 Two letters picked without replacement from ffwfhfww. Give prob of sequence wf. 3/14 Calculate prob of sequence prr when three letters picked without replacement from pvpvr. 0 Three letters picked without replacement from {l: 8, o: 5}. What is prob of sequence olo? 40/429 Four letters picked without replacement from {c: 1, l: 1, p: 1, y: 2, d: 1, i: 1}. What is prob of sequence ypiy? 1/420 What is prob of sequence pwww when four letters picked without replacement from pwppwpppppppppwppppw? 16/4845 What is prob of sequence pz when two letters picked without replacement from {z: 12, p: 1}? 1/13 Two letters picked without replacement from oljjojjjo. Give prob of sequence oj. 5/24 What is prob of sequence ag when two letters picked without replacement from {x: 1, a: 1, g: 1}? 1/6 What is prob of sequence bvb when three letters picked without replacement from vbdb? 1/12 What is prob of sequence mg when two letters picked without replacement from {g: 3, m: 7, y: 5, a: 1, c: 2}? 7/102 Calculate prob of sequence cn when two letters picked without replacement from {k: 2, n: 5, q: 7, c: 4}. 10/153 Two letters picked without replacement from {a: 1, r: 1, j: 1, o: 1, v: 2, s: 2}. What is prob of sequence jr? 1/56 What is prob of sequence jakh when four letters picked without replacement from {a: 9, h: 5, j: 2, k: 2}? 1/408 Calculate prob of sequence uuqu when four letters picked without replacement from xqqruuqhxxqxqxhrur. 1/2448 Calculate prob of sequence po when two letters picked without replacement from {o: 1, v: 3, p: 1, i: 1, x: 5}. 1/110 Calculate prob of sequence ff when two letters picked without replacement from {v: 6, f: 12}. 22/51 Three letters picked without replacement from {h: 5, u: 1, g: 5, j: 6}. What is prob of sequence ghu? 5/816 Four letters picked without replacement from {z: 2, e: 2, h: 1}. What is prob of sequence ehze? 1/30 Four letters picked without replacement from {f: 3, s: 13, i: 2}. Give prob of sequence ffss. 13/1020 What is prob of sequence lbk when three letters picked without replacement from ttbkyyl? 1/210 Calculate prob of sequence llq when three letters picked without replacement from {r: 2, l: 3, x: 3, g: 1, o: 2, q: 4}. 4/455 What is prob of sequence ud when two letters picked without replacement from ccccssdusuuscuscdcc? 4/171 Four letters picked without replacement from sjsjjs. Give prob of sequence jjss. 1/10 Two letters picked without replacement from msnaz. What is prob of sequence mz? 1/20 What is prob of sequence tq when two letters picked without replacement from atatqtqqattaaaaqtt? 14/153 What is prob of sequence ssjs when four letters picked without replacement from jwjjswsjjjjs? 7/1980 Two letters picked without replacement from eegegmeabmmaaagagaa. Give prob of sequence bm. 1/114 Two letters picked without replacement from hnncnnnnq. Give prob of sequence nq. 1/12 What is prob of sequence wwt when three letters picked without replacement from ttzwwhtwwtwzz? 20/429 What is prob of sequence ax when two letters picked without replacement from {u: 3, x: 2, a: 4, p: 1}? 4/45 What is prob of sequence oo when two letters picked without replacement from kojojkkook? 2/15 Calculate prob of sequence az when two letters picked without replacement from azazazazaazz. 3/11 Two letters picked without replacement from trwet. Give prob of sequence tr. 1/10 Calculate prob of sequence qqd when three letters picked without replacement from {d: 1, q: 2}. 1/3 Calculate prob of sequence lcb when three letters picked without replacement from lcbccccbbccccccbb. 11/816 What is prob of sequence di when two letters picked without replacement from {l: 4, d: 1, x: 3, i: 2, u: 1, p: 1}? 1/66 What is prob of sequence vav when three letters picked without replacement from aavvavaaav? 1/10 Three letters picked without replacement from hdjdhsdjsdjddussjdd. What is prob of sequence djh? 3
{ "pile_set_name": "DM Mathematics" }
be l(-6). Calculate the highest common factor of z and r. 4 Let z(r) = 10*r - 3. Let a be z(7). Let c = -110 + 67. Let j = a + c. What is the greatest common factor of 8 and j? 8 Let x(y) = y**3 + y - 21. Let g be x(0). Let v = 32 + g. What is the greatest common divisor of 1 and v? 1 Let r(u) = 8*u - 3. Let n be r(-3). Let b = n + 38. Calculate the greatest common factor of b and 11. 11 Let w(t) = 33*t**3 - 3*t + 2. Let k be w(1). Let i be -5 + k + (2 - -1). What is the greatest common divisor of i and 10? 10 Let x be (-20)/(-6)*156/8. Let u be (-11 - 2)/(2/(-2)). Calculate the highest common divisor of u and x. 13 Let i(m) be the second derivative of 7*m**4 - m**3/6 - m**2/2 - 3*m. Let n be i(-1). What is the highest common divisor of 12 and n? 12 Suppose -n - 4*p + 60 = 0, 4*p = 2*n - p - 81. What is the highest common divisor of n and 120? 24 Let a = 37 + 43. Let t = 47 + -27. Calculate the greatest common factor of t and a. 20 Suppose -3*d - n + 0*n + 104 = 0, n = d - 32. Let y be 1828/36 - 2/(-9). What is the highest common factor of y and d? 17 Let c(d) = -13*d. Let x(r) = -6*r. Let j(q) = -2*c(q) + 5*x(q). Let u be j(-3). Calculate the greatest common factor of u and 24. 12 Let m(l) = l**2 - l. Let z be m(2). Suppose -z = -k + 3. Calculate the greatest common factor of k and 25. 5 Let g(y) = 28*y**2 - 7*y - 6. Let s be g(-4). Suppose 5*d + 2*h = s, d + 2*h - h = 91. What is the greatest common factor of 12 and d? 12 Let c(a) = a**3 - 7*a**2 - 4*a - 16. Let q be c(8). Calculate the highest common factor of q and 80. 16 Let s = -79 - -115. Let t be (0 - -6)/(3/2). What is the highest common factor of s and t? 4 Suppose 0 = 5*n - 4*v - 140, 2*n + 26 = -v + 82. Suppose n = 2*q + q - j, j = -4. What is the greatest common divisor of 72 and q? 8 Let a be ((-24)/(-14))/(10/35). What is the greatest common divisor of a and 48? 6 Suppose -g - 195 = 2*g. Let v = g - -97. What is the greatest common divisor of v and 4? 4 Suppose 0 = -2*d - 6, 2*x = -3*d + 47 + 32. What is the highest common divisor of x and 44? 44 Let l(a) = 3*a - 4. Let m be l(3). Suppose 30 = 2*q + s, -3*s + 29 + 46 = m*q. Calculate the highest common factor of 105 and q. 15 Suppose -59 = -3*l - 11. Let v be 5*(-4)/(l/(-12)). Calculate the greatest common factor of v and 10. 5 Let d(n) = n**3 + 9*n**2 + 15*n + 6. Let p be d(-6). Calculate the greatest common divisor of 8 and p. 8 Suppose 45 = -4*b + 8*b - q, 0 = 3*b + q - 25. Calculate the highest common factor of 70 and b. 10 Let b = -27 - -108. What is the highest common divisor of b and 9? 9 Let c be ((-1)/2)/(5/(-70)). Let u be ((-1)/1)/(1/(-14)). Calculate the highest common divisor of c and u. 7 Suppose 0 = -b + 12 + 5. Calculate the greatest common factor of b and 136. 17 Suppose -4*b - 32 = -2*g, 4*g - g + 4*b - 8 = 0. Suppose 160 = 4*h + w + 3*w, -2*w + 200 = 5*h. Calculate the highest common factor of g and h. 8 Let r(k) = 3*k. Let x be (-24)/108 - (-38)/9. Let f be r(x). Suppose -4*g + 45 + 51 = 0. What is the highest common factor of f and g? 12 Suppose -l - 4*i = -9*i - 9, 5*l + 3*i = 17. Suppose 4*z = -0*z - l. Let o be z/(2/(-2)) + 4. Calculate the greatest common divisor of o and 1. 1 Let h = 15 - 4. Let l = -5 - -4. Let z be l*6/3 + 3. Calculate the highest common divisor of z and h. 1 Let v = 166 - 136. Calculate the greatest common divisor of v and 24. 6 Suppose -c - 2*j = 12, -4*j - 14 - 12 = 3*c. Let u = 9 + c. Let d be 1*(u - 1)*1. What is the greatest common factor of 15 and d? 3 Let i be (0 + 8)*6/2. What is the greatest common factor of i and 24? 24 Suppose 2*x - 6*x = -96. Calculate the highest common factor of x and 60. 12 Let w be 3*(-7)/(2/2). Let y be (w/(-6))/(3/18). Calculate the greatest common divisor of 3 and y. 3 Let b = -104 + 156. Let n = 0 + 3. Suppose -10 - n = -u. What is the greatest common factor of u and b? 13 Suppose 4*h = 57 + 27. Let w(q) = q**2 + 4*q + 4. Let b be w(-4). Suppose -5*j + 11 - 4 = 4*x, -b*j - 2*x = -8. Calculate the greatest common factor of h and j. 3 Let q be (-2)/((-8)/63) + (-12)/(-48). What is the highest common divisor of q and 64? 16 Let a be (-10)/((16/6)/(-4)). What is the highest common divisor of 75 and a? 15 Suppose 0 = -4*i - 2*p + 506, i + 2*i + p = 379. Calculate the greatest common factor of i and 14. 14 Let o be 5/((-60)/(-112))*(4 - 1). What is the greatest common factor of 42 and o? 14 Let v(u) = u**3 + 6*u**2 + 3*u - 2. Suppose 5*i + 5 = 5*a + 20, 10 = -4*a + 5*i. Let n be v(a). Calculate the greatest common factor of 1 and n. 1 Suppose -3*j = d + 2*d - 3, 3*d - 5 = -2*j. Suppose 0 = 4*o + o - 120. What is the greatest common divisor of o and d? 3 Let x be 2/(-3 - 17/(-5)). Let b = x - 1. Suppose l = b*l - 204. What is the greatest common factor of 17 and l? 17 Let x(y) = y**3 - 3*y**2 - 5*y - 3. Let u be x(5). Calculate the highest common factor of 88 and u. 22 Let f = -37 + 45. What is the greatest common divisor of 12 and f? 4 Suppose -b - 29 = 5*r - 10, 4*r = -5*b + 10. Suppose -3*p + 0*t + 69 = -5*t, 0 = -2*p + 2*t + 42. What is the highest common factor of p and b? 6 Let r be -1 + 0 - (-1 + -4). Suppose 0 = -r*t + 132 + 48. What is the highest common divisor of t and 30? 15 Let c = -35 - -71. Suppose 4*i = 4*x - c, 4*i + 25 = -2*x + 61. What is the highest common divisor of 12 and x? 12 Suppose 0*i + 88 = 4*i. Suppose 3*t - 74 = -0*t - 4*q, 0 = -2*q + 4. What is the highest common divisor of i and t? 22 Let c be 17 + (-1)/(-1 + 0). Suppose 2*d + 3*d = 30. Calculate the greatest common divisor of c and d. 6 Let m(w) = -w**3 - 5*w**2 - 6*w - 6. Let u be m(-4). Let t = -5 + 27. Calculate the greatest common divisor of u and t. 2 Suppose 4*q - 284 = 5*t, 0 = -q - 2*t + 5*t + 64. Let l = -11 - 10. Let x = l + q. What is the greatest common factor of x and 5? 5 Suppose 2*g = 2*w + 6, 0 = 2*g - 3*w - 1 - 1. Let z = g - 5. What is the greatest common divisor of z and 1? 1 Let r(x) be the second derivative of 5*x**3/3 - x. Let f be 200/35 + 2/7. Let o be r(f). What is the greatest common factor of 15 and o? 15 Let z(l) = -l**2 - 11*l - 4. Let b be z(-9). What is the highest common factor of b and 14? 14 Let c(m) = m**2 + 3*m - 26. Let q be c(-13). Calculate the greatest common divisor of q and 13. 13 Suppose 0*y - 150 = -5*m - y, -m + 30 = 2*y. What is the highest common factor of m and 240? 30 Let n(x) = -2*x**2 - 48*x - 4. Let w be n(-20). What is the highest common divisor of 13 and w? 13 Suppose 1 + 2 = h. Let x be (1 + -2)/(-1)*h. Suppose 5*j + 2*b - 35 = 0, -j - x*b + 12 = 2*j. What is the highest common divisor of j and 27? 9 Let s(w) = w + 6. Let x be s(-6). Suppose x*r - 3*r = -81. Suppose -3*q + 4*j = 2*q - 78, -j + 21 = q. Calculate the greatest common divisor of r and q. 9 Suppose -c + 5*z = -49, -2*c + 3*z + 39 = -c. What is the greatest common factor of c and 8? 8 Suppose -34 = 5*a + 4*s - 530, 202 = 2*a - 2*s. What is the greatest common divisor of 20 and a? 20 Let j = 8 + -4. Let v be (18 - j/2)*1. Suppose -153 = -2*u - 4*h + 91, -5*h + 241 = 2*u. What is the greatest common divisor of v and u? 16 Suppose 0*m = -m + 3. Suppose m*s - 7 = -g - s, -5*s - 53 = -2*g. Calculate the highest common divisor of 19 and g. 19 Suppose 10 + 26 = a. Calculate the greatest common divisor of a and 90. 18 Let b = 13 + -11. Suppose -b*y - 4*z + 50 = 0, -4*y + 2*z = 4*z - 100. Calculate the greatest common divisor of y and 5. 5 Let n = 18 - 13. Let c(a) = 4*a. Let d be c(n). Calculate the highest common divisor of 8 and d. 4 Let o = -25 - -29. What is the highest common divisor of 44 and o? 4 Let j(v) = -v**2. Let g be j(3). Let s = -4378 + 6652. Let b be (-2)/(-6) - s/g. What is the highest common factor of 23 and b? 23 Let s be (2/(-3))/(1/(-6)). Suppose d - s = -0*d. What is the greatest common factor of 16 and d? 4 Suppose 13 = 5*s + 3. Suppose p - 27 = -s*p. Let u be -2*(90/4)/(-5). Calculate the greatest common divisor of u and p. 9 Suppose 4*w - 8 = 2*p, 3*p = -p - w + 2. Let m be 59 - 4 - (1 - p). Let v be m/10 + 10/(-25). Calculate the highest common divisor of v and 55. 5 Let z(u) = -u**3 - 4*u**2 + 8*u - 12. Let i be z(-6). What is the highest common factor of i and 24? 12 Let k be 4 + (-2)/((-6)/(-3)). Suppose -18 - 15 = -k*m. What is t
{ "pile_set_name": "DM Mathematics" }
Let k be (-44)/286 + (-320)/(-52). Give k*q(p) + 5*c(p). -p + 3 Let f = -5 + 19. Let l be 1/(3 - f/5). Let h be (-2)/(-5) - 18/(-5). Let j(y) = 2*y**2 - 3. Let i(n) = -3*n**2 + 4. Calculate h*i(c) + l*j(c). -2*c**2 + 1 Let i(x) = 43*x**2 - 27*x - 25. Let r(t) = -29*t**2 + 18*t + 16. Let y(c) = 5*i(c) + 7*r(c). Let n(m) = -3*m**2 + 2*m + 3. What is -9*n(d) - 2*y(d)? 3*d**2 - 1 Let x(m) = -34*m + 3. Let j(v) = -17*v + 1. Give -7*j(w) + 3*x(w). 17*w + 2 Let s(v) = -v**2 + 7*v + 4. Let b(d) = 5*d**3 - 54*d**2 - 11*d + 9. Let t be b(11). Let k(g) = 3*g**2 - 15*g - 9. What is t*s(q) + 4*k(q)? 3*q**2 + 3*q Let j(v) = -4*v. Let l(u) be the third derivative of 5*u**4/24 + u**3/6 - 176*u**2. Determine -6*j(c) - 5*l(c). -c - 5 Let t(o) = -3*o**2 - 4*o. Let i = 71 - 50. Suppose -2*b - 5 = -5*d - 5*b, -b - i = -4*d. Let p(q) = 4*q**2 + 5*q. Give d*p(l) + 5*t(l). l**2 Let g(y) = y**2 - 1. Let i(d) = -d**2 + 19*d + 7. Let u(c) = -3*c**2 + 54*c + 20. Let b(s) = 17*i(s) - 6*u(s). Calculate -b(z) + 2*g(z). z**2 + z - 1 Let r = -1 - -23. Let j(m) be the second derivative of -1/2*m**2 + 1/2*m**3 + 0 + 2*m. Let b(c) = 16*c - 6. Calculate r*j(f) - 4*b(f). 2*f + 2 Let x(m) = m**3 - 12*m**2 + 4*m - 1. Let r(q) = -2*q**3 + 23*q**2 - 7*q + 2. Give -4*r(p) - 7*x(p). p**3 - 8*p**2 - 1 Let k(c) = -277*c - 4. Let q(p) = -835*p - 11. What is 8*k(l) - 3*q(l)? 289*l + 1 Let l be (-10)/(-210)*(-3)/((-18)/21). Let x(u) be the second derivative of 0 - l*u**3 + 9*u - 1/2*u**2. Let f(c) = c. Give 2*f(n) + x(n). n - 1 Let g(h) = -5*h - 59. Let z(f) = -f + 1. What is -g(a) + 6*z(a)? -a + 65 Suppose -4*v + 18 = 6. Let o(x) = -v*x + 1 + 2*x + 2*x. Suppose 6*f + j - 2 = 3*f, -3*j - 4 = -f. Let u(b) = -3*b - 1. Give f*u(c) + o(c). -2*c Let c(n) = n + 1. Let u(v) = -v**2 + 3*v + 7. Suppose 0 = 5*r + 2*o + 15, -2*r - 4*o - 18 = -4*r. Determine r*u(t) + 3*c(t). t**2 - 4 Let i(h) = 70*h**3 + 6*h**2 + 6*h - 8. Let o(v) = -v**3 + v**2 + v - 1. Determine i(d) - 6*o(d). 76*d**3 - 2 Let a(r) be the third derivative of -r**4/6 + 5*r**3/6 - 7*r**2. Let g(p) = -17*p + 21. Calculate 9*a(c) - 2*g(c). -2*c + 3 Let c(l) = l**2 - 2*l + 2. Let v(z) = -6*z**2 - 11. Let y(i) = -6*i**2 - 2*i - 11. Let b(p) = 6*v(p) - 5*y(p). Give 2*b(w) + 11*c(w). -w**2 - 2*w Let z(g) = 2*g**3 - 6*g - 2. Let d(q) = -2*q**3 + 7*q + 2. Suppose -7*h - 65 + 30 = 0. Determine h*d(l) - 6*z(l). -2*l**3 + l + 2 Suppose -15 = 2*h + 3*f - 2, -2*h - 12 = 4*f. Let u(z) = 1. Let r(x) be the second derivative of x**4/6 + 4*x**2 - 5*x + 16. What is h*u(y) + r(y)? 2*y**2 Let k be -1 + 15 + 4/(1*2). Suppose -z + 5*z = k. Let v(r) = -6*r**2. Let c(u) = 5*u**2. What is z*v(j) + 5*c(j)? j**2 Let r(v) = v + 2. Let m(b) = b**2 + 32*b - 3. What is -m(a) - 3*r(a)? -a**2 - 35*a - 3 Let t(x) = 2*x - 2*x - x + 2. Let m(l) = -4*l**2 - 32*l - 22. Let h be m(-7). Let c(j) = -1. Calculate h*c(w) + 3*t(w). -3*w Let j(q) = -q**2 + 39*q + 327. Let o be j(46). Let c(f) = 1. Let t(s) = -6*s - 6. Calculate o*c(u) + t(u). -6*u - 1 Let q(h) = 418*h - 16. Let a(z) = -415*z + 19. Calculate -6*a(l) - 7*q(l). -436*l - 2 Let l(n) = n**3 - n**2 - n. Let h(u) = 3*u**3 - 5*u**2 - 5*u. Suppose -4*i = -2*i - 8. Let o = 5 + i. Let z = 10 - o. What is z*h(d) - 5*l(d)? -2*d**3 Let r(o) = -o**2 - o + 1. Let h(t) = 17*t**3 - t**2 - t + 1. Determine -2*h(a) + 2*r(a). -34*a**3 Let m(c) = 5*c + 2. Let i(q) = -147*q + 6 + 161*q - 1. Give -4*i(n) + 11*m(n). -n + 2 Let m(k) = k**2 + 2*k. Let f(h) = -8*h**2 - 17*h. Let y be 12 - 15 - (-4 - 5). Give y*f(g) + 51*m(g). 3*g**2 Let o(h) = -9*h + 37. Let v(c) = 10*c - 43. What is -7*o(u) - 6*v(u)? 3*u - 1 Let k(l) = -l - 2. Let u(n) = 6*n + 15. Let d be (-1 - (-18)/12)*0. Suppose -2*c + 12 = -2*g, d = -g + 4*c - 2*c - 10. What is g*u(t) - 15*k(t)? 3*t Let g(u) = -20*u**2 + 21*u - 12. Let d(a) = -5*a**2 + 5*a - 3. Determine 9*d(f) - 2*g(f). -5*f**2 + 3*f - 3 Let a(d) = 70*d + 8. Let x(r) = -8*r + 1. Give -a(w) - 8*x(w). -6*w - 16 Let o(r) be the second derivative of r**5/5 - r**4/6 + r**3/3 + 3*r**2/2 - 43*r. Let i(g) = -g**3 - g**2 - g - 1. What is 2*i(w) + o(w)? 2*w**3 - 4*w**2 + 1 Let h(t) = -24*t + 3. Let d(z) = -z**2 - 2*z + 12. Let i be d(-5). Let f(w) = 47*w - 5. Determine i*f(j) - 5*h(j). -21*j Let k be 5*(-9)/135*-42. Let b(p) = 8*p**3 + 14*p**2 - 26*p + 14. Let t(m) = 3*m**3 + 5*m**2 - 9*m + 5. Calculate k*t(r) - 5*b(r). 2*r**3 + 4*r Let q be ((-4)/18 - (-12)/54) + -3. Let h(a) = 21*a**3 - 8*a**2 - 8*a - 8. Let n(s) = -7*s**3 + 3*s**2 + 3*s + 3. Determine q*h(d) - 8*n(d). -7*d**3 Let r(x) = 9*x - 7. Suppose b - 3*p + 29 = 2*p, 5*b + 30 = 2*p. Let j(w) = -w + 8. Let h(d) = d - 4. Let y(m) = b*j(m) - 9*h(m). Give 6*r(n) + 11*y(n). -n + 2 Let z(g) = -3*g. Let f(p) = 2. Let w(y) = 5. Let m(j) = -8*f(j) + 3*w(j). Let k be (28/(-98))/((-2)/7). Give k*z(r) - 2*m(r). -3*r + 2 Let c(t) = 215*t**3 + 14*t**2 + 17*t + 17. Let p(o) = 72*o**3 + 5*o**2 + 6*o + 6. What is -6*c(g) + 17*p(g)? -66*g**3 + g**2 Let f(n) = 2 + 7*n**2 - 4*n - n**3 - 13 + 10*n**3 + 7. Let u(r) be the second derivative of r**5/4 + r**4/3 - r**3/3 - r**2 + 2*r. Give 4*f(d) - 7*u(d). d**3 - 2*d - 2 Let f(q) = q - 3. Let v(p) = 8*p - 4. Give f(o) - v(o). -7*o + 1 Let g(z) = -28*z - 192. Let n(k) = 61*k + 383. Give -13*g(p) - 6*n(p). -2*p + 198 Let u(v) = 6*v**2 - 9*v + 3. Let a(h) = -4*h + 208. Let d be a(51). Let z(w) = 3*w**2 - 4*w + 1. What is d*u(s) - 9*z(s)? -3*s**2 + 3 Let u(i) = 3 + 1 - 4*i - 224*i**2 + 228*i**2. Let f(s) = -s**3 + s**2 - s + 1. Give 4*f(k) - u(k). -4*k**3 Suppose 0 = -0*g + g - 9. Let k(q) = -13*q + 5. Let j(n) be the third derivative of -n**4/8 + n**3/6 + 5*n**2 - 4. Calculate g*j(d) - 2*k(d). -d - 1 Let s(d) = -48*d + 238. Let w be s(5). Let q(m) = 5 + 2*m - 11*m**2 + m - 2*m. Let i(v) = 5*v**2 - 2. Determine w*q(n) - 5*i(n). -3*n**2 - 2*n Let f(g) = 206*g**3 - 6*g**2 + 6*g - 14. Let u(c) = -617*c**3 + 17*c**2 - 16*c + 37. Determine -8*f(n) - 3*u(n). 203*n**3 - 3*n**2 + 1 Let p(k) = -11*k - 4. Let j(i) = 23*i + 9. Let b(s) = 6*j(s) + 13*p(s). Let o(q) = -q. What is -b(y) + 2*o(y)? 3*y - 2 Let n be -6 - ((-7 - -7) + -2). Let g(b) = -12*b. Let q(m) = 23*m. What is n*q(o) - 9*g(o)? 16*o Let g(w) = -104*w - 6. Let a(t) = 51*t + 3. Give 5*a(k) + 2*g(k). 47*k + 3 Let d(j) = -1. Let o(z) = 5*z + 1. Let c(v) = 2*d(v) - o(v). Let x(g) = -g - 1. Let q be 3/6 - 3/2. Calculate q*c(p) + 4*x(p). p - 1 Let a(n) = -n + 1. Let i(g) = 3*g - 2. Let x(f) = 11*a(f) + 4*i(f). Let o(s) = -s - 4. What is -4*o(p) - 5*x(p)? -p + 1 Let f(u) = 3619*u**2 - 35*u + 35. Let r(k) = 402*k**2 - 4*k + 4. Calculate 4*f(x) - 35*r(x). 406*x**2 Let n(w) = -3*w - 6. Let a(x) = 2*x + 1. Give 3*a(v) + n(v). 3*v - 3 Let l(c) = -c**2 - 73. Let s(k) = 3*k**2 + 219. Determine -11*l(d) - 4*s(d). -d**2 - 73 Let l(d) = 3*d - 6. Let h be l(3). Let z = 30 - 31. Let f(o) = -o + 1. Let g(c) = 1. What is h*g(s) + z*f(s)? s + 2 Let t(z) = 2*z**3 + z**2 + 1. Let v(l) = -1175*l**3 - 423*l**2 - 423. Calculate -846*t(h) - 2*v(h). 658*h**3 Let y(b) = -33 - 41 + 67 - 3*b. Let i(x) = -x. What is -5*i(u) + y(u)? 2*u - 7 Let n(a) = -a**3 - 177*a**2 + 6*a - 3. Let t(w) = -3*w**3 - 354*w**2 + 14*w - 7. Calculate -7*n(x) + 3*t(x). -2*x**3 + 177*x**2 Let n(x) = 2*x - 1. Let y(s) = 21*s**2 - 13*s - 21. What is -6*n(o) - y(o)? -21*o**2 + o + 27 Let d(j) = -4*j**2 + 5*j + 9. Let w(x) = x**2 + 1. Let a(q) = q**2 + 2*q + 8. Let m(r) = a(r) - 3*w(r). Calculate 3*d(t) - 5*m(t). -2*t**2 + 5*t + 2 Let n(s) = -s**2 - 1. Suppose 6*c - 464 + 428 = 0. Let z(j) = -9*j**2 + j - 6. Give c*n(a) - z(a). 3*a**2 - a Let n(d) = 2*d**2 + 4*d + 14. Let l(p) = p**2 + 5*p + 16. Let s(g) = -5*l(g) + 6*n(g). Let f(c) = 15*c**2 - 3*c + 9. Determine -6*f(a) + 13*s(a). a**2 + 5*a - 2 Let k(g) = -8*g**3 - 14*g**2 + 274*g. Let c(d) = 3*d**3 + 5*d**2 - 92*d. Calculate -14*c(w) - 5*k(w). -2*w**3 - 82*w Let l(h) = -h**2 + 6*h. Let w(k) = -k**2 - k. Let s = 323 + -324. Determine s*l(b) - 4*w(b). 5*b**2 - 2*b Let k be (21/(-27) - -1) + 190/(-45). Let j(h) = -11*h**2 + 4. Let u(i) = -i**2 + 1. Give k*u(t) + j(t). -7*t**2 Let c(b) = -2*b**2 - 2*b + 2. Suppose f - 3*i = 2, 4*f = -3*i - 4 - 3. Let v(h) = h**2. Give f*c(a) - v(a). a**2 + 2*a - 2 Let l(i) = 3*i - 7*i + 2*i - 2. Let g(v) = -v - 2. Let u = -17 + 14. What is u*g(h) + 2*l(h)? -h + 2 Let c(m
{ "pile_set_name": "DM Mathematics" }
, z, 0.3, d Suppose 493 = -5*s - 2*h + 503, 2*h - 10 = 2*s. Sort -52, 2, 3, s in ascending order. -52, s, 2, 3 Suppose 0 = -3*c - 0 + 6. Let j be (-1)/c*(-6)/(-7). Sort j, 13, -2, -0.4 in increasing order. -2, j, -0.4, 13 Let r be (2 - (-16)/(-7) - 703/(-133)) + -1. Sort -2, -5, 46, r in ascending order. -5, -2, r, 46 Let q = -0.71 + -0.09. Let y = 0.5 + q. Let f = 14020 + -14018. Sort -3, f, -69, y. -69, -3, y, f Suppose -9*k + 434 = 587. Put 0, -5, k, 1 in decreasing order. 1, 0, -5, k Let j = -11/15 + 8/15. Let u(a) = -11*a - 135. Let z be u(-11). Sort j, z, 5, -2 in increasing order. z, -2, j, 5 Let i = -4.36 - -6.36. Sort 1/2, 0.4, i, 7 in decreasing order. 7, i, 1/2, 0.4 Let u(v) = 2*v - 13. Let f = -154 - -158. Let y be u(f). Put 3, -13, y in decreasing order. 3, y, -13 Suppose 2*t + 8 = -2*c, -3*c = 2*c + 5. Let a be 2/(-28) - -6*20/1680. Sort a, 8, t in decreasing order. 8, a, t Let s be (7 - (-23238)/(-171)) + 3. Let q = s - -126. Let h(j) = -j + 11. Let y be h(7). Put -12, y, 3, q in descending order. y, 3, q, -12 Let t = -5670 - -5959. Sort 5, t, 3. 3, 5, t Let k = -27873.8 + 27874. Put 0.1129, k, 2, 5/4 in ascending order. 0.1129, k, 5/4, 2 Suppose 115*m + 17*m - 600 = -18*m. Put 0.2, m, 17/14 in descending order. m, 17/14, 0.2 Let t = -0.0031 - -120.0031. Let z = 120.3 - t. Sort -17, 2, z in ascending order. -17, z, 2 Let i(z) = z**3 - 4*z**2 - 22*z + 2. Let b be i(7). Let p be ((-18)/(-4) + b)*(-1 - 73). Put p, 5, -1 in descending order. p, 5, -1 Let j be 4/40*-4 - (-328)/20. Suppose j*d = -2*d + 90. Put 20, d, -3 in decreasing order. 20, d, -3 Let v be (707/(-98) - -7)/((-12)/14). Suppose h + 3 = 7. Suppose -2*t = 4*j - 0*t + 22, -h*t = -5*j + 5. Put j, v, -0.4, -0.3 in descending order. v, -0.3, -0.4, j Let g be (-2)/3*3 - -4. Suppose p = 2, 2*p = g*l + 5*p + 2. Suppose 8*u - 10*u = -9*u. Put -9, l, u in increasing order. -9, l, u Suppose -5*o = 2*a - 371, a = -2*o + 115 + 33. Let t be (0 - (-2)/(-10))/(30/o). Sort -5, 4/7, t, 1 in ascending order. -5, t, 4/7, 1 Let h = 28/85 - 9/17. Let l = 151 - 128. Let x = -27 + l. Put 2, -2/7, x, h in increasing order. x, -2/7, h, 2 Let m(p) = -2*p**2 - 8*p + 21. Let j be m(2). Sort -8, 27, j, 0 in ascending order. -8, j, 0, 27 Let d = 148 + -166. Let o = d - -17.8. Let p = 4 - 6. Put p, -5, o in descending order. o, p, -5 Let t = 17.1 - -54.9. Let o = -110 + t. Sort -0.3, o, 4/3 in decreasing order. 4/3, -0.3, o Suppose 0 = -8*j - 42 + 114. Let o = -2 - 3. Sort -2, o, j in ascending order. o, -2, j Let c = 8761 + -8767. Sort 3, -4, c. c, -4, 3 Let h(b) = 767*b - 772. Let v be h(1). Put v, 58, 23 in ascending order. v, 23, 58 Let i be 16/(-1)*(2 + -1). Suppose -2*o + 3*o - 5 = 0. Let q(v) = -80*v + 1602. Let t be q(20). Sort o, t, i in descending order. o, t, i Let h = 461.2 - -16.8. Sort h, -3, 3/4 in ascending order. -3, 3/4, h Let m be -17 - -7 - (-3)/(7/(-1 + 22)). Put m, 1, -3, 9, -4 in increasing order. -4, -3, m, 1, 9 Suppose 0 = -5*v - 5*j, 3*v - 6*j + j - 16 = 0. Suppose v*q = -8 - 8. Sort q, 0, 1 in increasing order. q, 0, 1 Suppose 0*u - 20 = -10*u. Suppose 5 - 9 = -u*q. Suppose -2*v + q*f = 0, 0 = -5*f - 6 + 1. Put 2, v, 0 in decreasing order. 2, 0, v Let h = -939 + 914. Put 5, h, -3, 1 in increasing order. h, -3, 1, 5 Let z = 3 - -1. Let d = -11638 - -11638.1. Suppose 4*v + 16 = 5*g - 11, 6 = 3*g + v. Sort g, d, z in decreasing order. z, g, d Let g = -357118/9 + 39680. Sort -16, -1/9, -2/5, g in decreasing order. g, -1/9, -2/5, -16 Let k be 4/10 + 166/10. Let v = -23606 - -23610. Sort k, -4, v, -3 in increasing order. -4, -3, v, k Let f = -9811 - -9810.5. Sort -28, -3, f in descending order. f, -3, -28 Let j = 492.96 + -493. Let s = -255 + 1787/7. Put 2, -0.5, s, j in descending order. 2, s, j, -0.5 Suppose -6*a + 34151 = 20699. Put a, 5, 4 in descending order. a, 5, 4 Let k(a) = a**2 - 4*a - 18. Let g be k(-2). Let w = 48 - 50. Sort 5, -1, g, w in descending order. 5, -1, w, g Let r(s) = s**2 + 4*s - 6. Let c be r(2). Let u be (-18 - 3)/(-1 - 0). Let l be (2/c)/(u/126). Sort -1, -3, l, 3 in descending order. 3, l, -1, -3 Let i(l) = -l**3 - 3*l**2 + 18*l + 13. Let o be i(-6). Suppose -5*x + 21 = -2*n - 2*n, 3*n = x - o. Let t(a) = a. Let s be t(2). Sort s, -1, x. -1, x, s Suppose -2*p - 10 = 0, 0 = 2*z + 16*p - 19*p - 191. Put 4, 3, -1, z, 7 in decreasing order. z, 7, 4, 3, -1 Let a(f) = -2*f**3 - 52*f**2 - 99*f - 71. Let s be a(-24). Put -6, -3, -2, s in descending order. s, -2, -3, -6 Let z = 5130 + -5131. Sort 10, z, 4 in increasing order. z, 4, 10 Let w = 2.5 - 61.5. Let n = w - -63. Let t = 9/2 + -19/4. Sort t, n, -2, -3/7 in ascending order. -2, -3/7, t, n Let y(v) = -87 + 0*v + 13*v + 28 - 83 - 15. Let x be y(12). Sort 1, -13, x, 3 in increasing order. -13, x, 1, 3 Let k = 7466 - 7385. Sort -1, -3/2, k. -3/2, -1, k Let k = -72/5 + 15. Let u = -171725 - -31254029/182. Let h = u + 6/91. Put 2/11, h, k in decreasing order. k, h, 2/11 Let u(l) = 2*l**2 + 42*l - 94. Let w be u(2). Sort 3, 4, w in decreasing order. 4, 3, w Let a be -4 + (-3 - (6/9 + 26/(-3))). Put -309, -8, a in descending order. a, -8, -309 Let a be (-4)/((-1)/(-2)*-2). Let n be 7376/20 - (-4)/(-5). Let q = -370 + n. Sort q, 2, a in ascending order. q, 2, a Suppose 8*i + 12 = 68. Let m = 14 - 35. Let a = m + i. Sort a, 5, 0 in decreasing order. 5, 0, a Suppose 2*m + 249 = 251. Sort m, 0, 87 in decreasing order. 87, m, 0 Let p = 6.3 - 24.3. Let f = 45 + p. Let r = -32 + f. Sort 0, r, -29. -29, r, 0 Let o = -3.942255 + -0.057745. Let z = 2.8 + -19.8. Put z, 0.3, o, -0.2 in increasing order. z, o, -0.2, 0.3 Let z(j) be the first derivative of 3*j**2 + 14*j - 8. Let n be z(-6). Let l be 72/(-88) + 26/n + 1. Put 3/2, l, -2 in descending order. 3/2, l, -2 Suppose c - 9 = -5*z, -3*c + 2*z - z + 11 = 0. Sort -29, c, -16. -29, -16, c Let g = 198.011 + -197.911. Let l = 2 - 1. Put g, -1/4, l, -0.01 in decreasing order. l, g, -0.01, -1/4 Let b(p) = -p**3 + 29*p**2 - 79*p + 22. Let w be b(26). Sort w, -362, 2. -362, w, 2 Let t be (-4)/(-3)*702/520. Let l = 86/45 - t. Put 5, l, 0.04 in increasing order. 0.04, l, 5 Let x be (-12)/14 + -3*(-88)/(-84). Let u be (24/(-4))/(-6) - 6. Sort -9, u, x in descending order. x, u, -9 Let h(k) = -k**3 - 8*k**2 + k + 8. Let d be h(-8). Let r = 22186 + -22189. Put d, r, 21, -2 in decreasing order. 21, d, -2, r Let o = 0.4 + -0.45. Let u = -31.5 - 60. Let d = u + 91. Put d, -0.3, o in increasing order. d, -0.3, o Let k = -41 + 41. Let o = 88 + -127. Put 2/3, o, k in decreasing order. 2/3, k, o Suppose 114 = 32*w + 18. Suppose 4*b + 8 = 0, 0*k + 2*k - w*b = 30. Let m = -5 - -8. Sort k, m, -2, 0 in descending order. k, m, 0, -2 Let c(t) = t**3 - 1669 + t - 7*t + 1699 + 7*t**2. Let o be c(-8). Let q be ((-6)/5)/(9/30). Put -5, o, q in descending order. o, q, -5 Let r(s) = -s - 3. Let m be r(-5). Let c be (0 + 2/1)*9/(-36)*8. Let n = 0.78 + -0.08. Sort n, c, 1/4, m in decreasing order. m, n, 1/4, c Suppose 36892*n = 36897*n - 10. Sort 5, -12, 3, n, -5. -12, -5, n, 3, 5 Let i = -117.34 + 117.44. Let w be 2/(-5) - 26/10. Sort -1/3, -1/4, w, i in decreasing order. i, -1/4, -1/3, w Let w = 338 + 44. Let q = 382.4 - w. Sort q, -0.99, 3 in decreasing order. 3, q, -0.99 Suppose -4*r + 5*d - 6*d = -156, 0 = d + 4. Suppose 0 = -5*g - r + 30. Sort g, -10, -4, 4. -10, -4, g, 4 Let g = -5 - -6. Let f be (g + -7)*(-3)/(-24). Let d = -1469/4 + 367. Sort 2/15, f, d in ascending order. f, d, 2/15 Let w(y) = -16*y**2 + 24*y. Let t(d) = -d**2 + d. Let l(i) = 12*t(i) - w(i). Let m be l(2). Put m, 5, 4 in increasing order. m, 4, 5 Let s = 14907 - 14901. Sort s, -4, -5, 126 in descending order. 126, s, -4, -5 Let m(g) = g**3 - 6*g**2 - 8*g + 5. Let c be m(7). Let z(y) = 4*y - 32. Let d be z(8). Suppose d = 61*x - 66*x - 5. Sort c, -13, x, 4 in decreasing order. 4, x, c, -13 Suppose 2*f - 3*y = 3*f + 15, -4*y - 52 = 4*f. Let s(p) = p**2 - p. Let w = -31 + 30. Let a be s(w). Sort f, -2, a, -3 in decreasing order. a, -2, -3, f Let g = 89 + -88.94. Let i = g + -0.46. Let m = 2.2 + -2. Put i, m, 0, -0.1 in decreasing order. m, 0, -0.1, i Suppose n + 2*s + 3 = 0, 0*n - 5*s = 5*n + 10. Put -11, -5, n, -3, 0 in increasing order. -11, -5, -3, n, 0 Let d = -2 - -5. Suppose 4*y = 4*u + 20, -5 = -y + d*u + u. Let z be
{ "pile_set_name": "DM Mathematics" }
or u. 1 Solve 5210*w + 2*c = 5215*w + 51, -5*w + c - 33 = 0 for w. -3 Solve n + 9 = -3*z, -551*n + 20 = 2*z - 559*n for z. -2 Solve 4 = 2*t - 7*t - 2*k - k, 5*k = -15 for t. 1 Solve -27 = 5*c - 16*k + 19*k, k + 9 = -c for c. 0 Solve -2*t - 3*h = -13, h + 3 = 2 for t. 8 Solve 353*v + 32 = 348*v - 4*l, -5*v - 40 = 5*l for v. 0 Solve 0 = -5*a, 21*h - 4*a = 16*h - 30 + 10 for h. -4 Solve -k = 4*r - 14, 5302 = -2*r + 5310 for k. -2 Solve h - 54*s + 58*s + 12 = 0, 4*s = 5*h + 84 for h. -16 Solve -r - 29*s = -28*s, 4*r - 74*s = -75*s for r. 0 Solve -8*v + 26 = -2*q, 3*q = -4*v + 56 - 15 for q. 7 Solve 0 = k + r + 22, -4*k - 2*r - 41 + 3 = 0 for k. 3 Solve -b = -8*l + 7*l + 6*l, -8*b + 36 = 4*l for b. 5 Solve 0 = 4*z - 6*i - 42, 14 = -3*i + 5 for z. 6 Solve -3*a + 9558*j - 5 = 9562*j, 4*a = 3*j + 10 for a. 1 Solve 0 = -9*c - 5*h + 42, 0 = -3*c + 1299*h - 1296*h for c. 3 Solve 17*q = 5*n + 18*q - 25, -2*n - 5*q + 56 = 0 for n. 3 Solve -t + 3 = -371*w + 367*w, 7*w + 12 = 4*t for t. 3 Solve g = 2, -3*f - 2*g - 345 = 347 - 711 for f. 5 Solve 3*r - 17 = -20, 0 = -o + 4*r + 5 for o. 1 Solve -3*r = 9, 61*h - r = 58*h - 63 for h. -22 Solve -5*v = 4*w - 348 + 362, -w + v = -10 for w. 4 Solve 4*u - 24 = 5*u - 3*u + 4*c, -5*u = 5*c for u. 4 Solve 0 = -4*t, -2*a + 4102 = -t + 4092 for a. 5 Solve 3*d + 30 = 9*l, -23*l + 24*l = -5*d - 2 for l. 3 Solve 5*m - 4*f - f - 15 = 0, 0 = -3*m - 4*f - 755 + 729 for m. -2 Solve 0 = -3*c - 4*i + 11, 4 = c - 795*i + 796*i for c. 5 Solve 2*t = 11*i - 57, -5*t = -7720*i + 7719*i + 10 for t. -1 Solve -108 = -4*t + 2*t - 26*x, 5*x - 22 = 119*t - 120*t for t. 2 Solve 4*u - 42 = -7*g, 0 = 2*u + 2*g - 1600 + 1588 for u. 0 Solve 48*a - 2*o = 49*a + 5, 14*o + 39 = -3*a for a. 1 Solve -54*t + 49*t - 1 = -o, -t + 5*o + 43 = 0 for t. -2 Solve 5*y + 29 = -i + 7, -5*y - 4*i - 28 = 0 for y. -4 Solve 20*h - 23*h - 20 = -o, 0 = -2*h - 3*o + 60 for h. 0 Solve 5*f - 3 = -2*i, -4*f + 4 = 3*i - i for i. 4 Solve 0 = d - 3, 4*n + 281*d - 277*d - 36 = 0 for n. 6 Solve -2*r + 4*b + 14 = 0, 85*b + 20 = 2*r + 87*b for r. 9 Solve -5*s + 4*s + 4*z = 32, -5*z - 23 = 4*s for s. -12 Solve -8 = 581*a - 577*a - 4*s, 8 = -2*a + s for a. -6 Solve 4*r = 3*q + 13, -1101*r + 1098*r = -3*q - 9 for q. 1 Solve -k + 5*h + 9 = -11, 20 = -k - 3*h for k. -5 Solve 3*a - 25 = 5*p, 20*a = -22*p + 21*p + 98 for p. -2 Solve b - 3 = 5*l, -364*b = -360*b + 4*l - 12 for b. 3 Solve 2*p - 3*j + 159 = 152, -40 = -5*p - 4*j for p. 4 Solve 2*z = -0*c - 5*c, c + 5*z = 0 for c. 0 Solve 2*i = 5*d + 12, 75*d - 83*d + 4*i - 20 = 0 for d. -2 Solve 11 = x - d, -3*x - 3347*d - 47 = -3345*d for x. -5 Solve 3*u + 24*h - 22*h + 4 = 0, 0 = 3*h - 12 for u. -4 Solve 0 = 5*p + 5*m, -5*p + 10 - 10 = 4*m + 1 for p. -1 Solve 2*x = -3*h - 7, -70*x = -4*h - 72*x - 10 for h. -3 Solve 7497 = 5*o - l + 7504, 0 = -2*o - 3*l + 4 for o. -1 Solve -4*u - 5*p = 0, -5*p - 2 = 5*u + 3 for u. -5 Solve 5*t - 2*y = 17, -5*y + 254 = 2*t + 224 for t. 5 Solve 5*r = -q - 11, 2*r = 5*q - 2*q + 67 for r. 2 Solve 7*o = -5*u - 3, 213*o - 4*u = 210*o + 11 for o. 1 Solve 6*d + 5*r = 10*d - 25, 0 = 2*d - 5*r - 15 for d. 5 Solve 19*h + 4*f = -24, -3*h - 4*f = -15521 + 15545 for h. 0 Solve 417*k - 3*y = 417*k, -y + 8 = -2*k for k. -4 Solve 6*m = -5*i - 14, -341*m + 336*m - 30 = -5*i for i. 2 Solve 8 = -4*c + 2*u, 339*u - 336*u + 21 = -5*c for c. -3 Solve -3*j - 3570*r + 3573*r = -6, -3*j + r = 0 for j. -1 Solve 4841*m - 4850*m + 4*p = -2, 0 = -3*m + 3*p + 9 for m. -2 Solve 12*t + 10 = -2*i, -120*t = -125*t + 2*i - 24 for t. -2 Solve m + 70 = 15*d, -85*d - 3*m = -88*d for d. 5 Solve -536*t - 4*d + 13 = -531*t, 3*t - 124 = -19*d for t. -3 Solve -17844*y + 17840*y - 18 = 3*t, 0 = 4*y - 3*t - 42 for y. 3 Solve -2*m - 4*f + 2 = 0, -806*f = -9*m - 802*f + 53 for m. 5 Solve -5*f = -q - 225 + 161, -f - 9*q = -22 for f. 13 Solve -2*r - 2*m = -5*m + 22, 4*m = r + 21 for r. -5 Solve 0 = 3*u + 4*m + 8, -5*u - m + 33 = 35 for u. 0 Solve -2*n = 2*c + 44, -4*c + 1169 = -5*n + 1086 for n. -19 Solve -2*o - 3*z = -24, 29*o - 9*o - 14*o - 62 = -8*z for o. -3 Solve 246*w - k - 16 = 244*w, 0 = -11*w + k + 70 for w. 6 Solve 0 = -3*i + 21 + 3, 0 = 3*f - 4*i + 38 for f. -2 Solve 19*b = 49*b + 4*h - 72, -b = -4*h + 10 for b. 2 Solve -118 = 3*r + 2*l - 101, -6*r + 3*l - 48 = 0 for r. -7 Solve w - 3*h = -6, -25 = -4*h - 21 for w. -3 Solve v + 11 = -3*d, -95*d - 4*v = -93*d + 24 for d. -2 Solve 3*h - 3030 = 2*c - 3029, -c + 1 = -2*h for h. -3 Solve -3*y + 30 = 10*a, -3*a + 23 - 14 = 5*y for y. 0 Solve -7*c + 5*z - 70 = -12*c, 7*c - z - 18 = 0 for c. 4 Solve 568*b = 3*x + 564*b + 52, -4*b - 8 = 0 for x. -20 Solve 14*x - 17*x = -4*g + 3, -g + 7 = -2*x for x. -5 Solve 0 = -2*u - 4*x - 37 + 63, -5*x = -7*u - 80 for u. -5 Solve 4*r - 2*i = -16, 177*r - 187*r = 3*i + 72 for r. -6 Solve -5*r - 9 = z, 1982*r - 5*z = 1983*r - 3 for r. -2 Solve -5210*j - 5*h = -5210*j - 25, 0 = 6*j - 4*j - 4*h + 28 for j. -4 Solve -33 = -3*s + 4*y - 16, -4*y - 25 = 5*s for s. -1 Solve -4*g = a - 16, 4*g + 2*a = -126 + 138 for g. 5 Solve -1301*t = -1304*t + 2*r + 4, 0 = -5*t + r - 5 for t. -2 Solve -w + 6*w - 2474 + 2507 = -6*b, -6*w = b + 21 for b. -3 Solve -5*p = u, -314*u + 311*u + 2*p + 17 = 0 for u. 5 Solve t - 1699 = 2*g - 1686, 0 = -3*g + 2*t - 20 for g. -6 Solve 0 = -i + 2*r + 5, 1059*r = 5*i + 1058*r + 20 for i. -5 Solve 0 = 5*o + 4*l + 1562 - 1522, -6*l = -3*o + 18 for o. -4 Solve -7*n + 7 = -8*n, 3*s + 13*n = -76 for s. 5 Solve -751*t - q = -754*t + 21, 3*q + 38 = 4*t for t. 5 Solve 80 = 3*k + 5*q + 6*q, 2*q - 11 = 3*k for k. 1 Solve 3*w - 9 = -3*s, -2*w - 123 + 115 = -5*s for s. 2 Solve -16 = -4*l + 4*u, 0 = 3*l + 20*u - 17*u - 18 for l. 5 Solve -a = 5*k + 24, -5015*k - 5*a + 20 = -5018*k for k. -5 Solve n - 4*n + 59 = -6*n + 11*r, 0 = -5*n - 6*r - 1 for n. -5 Solve -3*p = -2*c - 13, 5*p - 40 = -4*c - 33 for p. 3 Solve 3*m + 5*y = 46, -2*m - 5*y + 20 = -3*y for m. 2 Solve -2*g - 13*c = 62, 13 = -g + 15*c - 17*c for g. -5 Solve 5*b + 3*h = 558 - 538, -2*b + 4*h + 8 = 0 for b. 4 Solve -330*z + 335*z + 21 = 3*d, -z + 3*d = 9 for z. -3 Solve -j + 4197*m = 4192*m - 17, 3*m + 23 = -j for j. -8 Solve -5*y = 9*q - 125 + 5, 10*q = -4*y + 138 for q. 15 Solve 16 = -2*r - 65486*g + 65489*g, -3*r = -7*g + 29 for r. -5 Solve 10*g = 8*g + 5*b - 10, -g = b + 5 for g. -5 Solve -138*v - 2*k + 7 = -137*v, 2*v = -3*k + 9 for v. -3 Solve x - 5*u = -16, 2*x - 64*u + 60*u = -8 for x. 4 Solve -4*s - 122*p + 24 = -118*p, s = 5*p - 6 for s. 4 Solve -47*g + 28 = -2*s - 52*g, 3*g = 5*s + 8 for s. -4 Solve -4*q + 5*u + 32 = 0, 27 + 0 = 5*q - 3*u for q. 3 Solve -2*o = -5541 + 5535, -3*y = -4*o - 3 for y. 5 Solve 0 = 3*a + 10*w - 6*w + 12, 0 = 5*a - 4*w - 44 for a. 4 Solve 0 = -i - 3*o + 11, 15*i - 235*o + 240*o - 45 = 0 for i. 2 Solve 5*d + 158 - 143 = -3*h, 2*d - 2*h = -6 for d. -3 Solve 6 = -3*d + 3*x, -2*d - 2511*x + 2514*x = 2 for d. -4 Solve 5*s = 2*s - n + 2771 - 2793, -34 = 5*s - n for s. -7 Solve 5*g - 6*f = 43, -11*f = -4*g - 15*f + 8 for g. 5 Solve 5*g - 37 = -x, 3*x = 4*g - 1377 + 1412 for x. 17 Solve 2*q = -2*m + 16, -20*m + 21*m - 16 = -3*q for q. 4 Solve 3*l = j + 17, -3*l - 49 = -61*j + 66*j for l. 2 Solve 118*x = -3*o - 37, -261 + 209 = -2*o - 2*x for o. 27 Solve 0 = -3*x + 3*k + 9, 5*k - 5443 = -2*x - 5430 for x. 4 Solve -5*u - 6*r + 60 = 0, -29*r - 8 = -3*u - 27*r for u. 6 Solve -1256*l + 1255*l + 3*y = 21, -2*l - y = 7 for l. -6 Solve 0 = -236*l + 241*l + 2*c - 56, 3*c - 54 = -5*l for l. 12 Solve -5*z = -3*w - 19 + 46, -w = -2*z - 11 for z. -6 Solve -17*b = -19*b + g + 3, 4*g = -3*b - 12 for b. 0 Solve -3*f + 1654 - 1662 = 2*t, -2*f = 5*t + 20 for t. -4 Solve -4*m = z + 7, 53*m = 5*z + 55*m - 1 for z. 1 Solve -12 = 12*y, -4*u + 2*y = 278 - 244 for u. -9 Solve 5*a + 2*p - 38 = 0, 144*a = 142*a + 2*p + 4 for a. 6 Solve t + 381*v + 6 = 382*v, 3*t = -3*v - 12 for t. -5 Solve -a + 36686 - 36723 = 0, -4*a - 146 = -2*p for p. -1 Solve -8*f + 37 = -4*y + 1, 0 = -4*f + 1 + 7 for y. -5 Solve 68 = -41*x + 44*x + z, 3*x - 64 = -2*z for x. 24 Solve -3*p + 2*r - 24 = 0, -210*r - 74 = 4*p - 215*r for p. 4 Solve -15 = 3*x, -599*x = -3*u - 595*x + 32 for u. 4 Solve 0 = 4*o - k - 10, -2*o + 1658*k + 30 = 1655*k for o. 0 Solve -3 = m - 2*n, -39*m + 57 = -61*n + 60*n - 57 for m. 3 Solve -16*s - 15 =
{ "pile_set_name": "DM Mathematics" }
) - 5*v(c). -6*c Let w(p) = -p**2 + 0*p + 6*p - p. Let m(y) = -y**2 + 4*y - 1. Let r(c) = 8*c**2 - 24*c + 12. Let s(b) = -12*m(b) - r(b). Calculate -5*s(l) - 24*w(l). 4*l**2 Let s(a) = a - 3. Suppose -6 = -2*n, -4*p = -5*n - 11 + 46. Let l(c) = -2*c + 7. Give p*s(m) - 2*l(m). -m + 1 Let j(g) = 22*g - 201. Let v be j(9). Let z(a) = 5*a - 5. Let m(k) = 4*k + 12. Let h(u) = u + 1. Let q(t) = 8*h(t) - m(t). Give v*z(d) + 4*q(d). d - 1 Suppose 7*d + 0*d - 35 = 0. Let s(f) = -f**2 - 5*f - 10. Let t(z) = z**2 + z + 1. Let p(c) = s(c) + 5*t(c). Let w(n) = -3*n**2 + 4. Calculate d*w(i) + 4*p(i). i**2 Let s(a) = 10*a + 38. Let g(n) = -n - 5. Let h(m) = 6*g(m) + s(m). Let t(u) = 5*u + 9. Give -4*h(r) + 3*t(r). -r - 5 Suppose -17*i = -8*i - 54. Let b(f) = 4*f - 10. Let a(c) = 3*c - 9. What is i*a(s) - 5*b(s)? -2*s - 4 Let p be 3 + (-14)/6 - 704/(-24). Let s(f) = -f**3 - f**2 + f + 1. Let j(t) = 18*t**3 + 15*t**2 - 15*t - 15. Determine p*s(h) + 2*j(h). 6*h**3 Let n be 23/(184/(-64)) + 4. Let i(t) = 4*t - 2. Let a(q) = 3*q - 3. Determine n*a(p) + 5*i(p). 8*p + 2 Let g(j) = -8*j**3 + 2*j**2 + 2*j - 3. Let f(x) = 7*x**3 - 2*x**2 - 2*x + 2. What is -5*f(m) - 4*g(m)? -3*m**3 + 2*m**2 + 2*m + 2 Let c(i) = 3*i - 2. Suppose 3*w - 5*r = 33, r - 86 = -5*w - 31. Let f = w - 13. Let k(d) = -81 + 77 + 3*d + 3*d. Determine f*k(u) + 5*c(u). 3*u - 2 Let q be (2/3)/((48/63)/8). Let y(z) = -3*z**2 - 2. Let h = -8 - -11. Let b be (2 - 0)/(h - 2). Let r(s) = 10*s**2 + 7. Calculate b*r(i) + q*y(i). -i**2 Let l(s) = -s**2 - 2*s. Let n(j) = 23 - 7 - 13 - j - 4 + 2*j. Determine -l(d) - n(d). d**2 + d + 1 Suppose 4*m - 4 = 5*j, -4*j - 3 + 7 = -5*m. Let p(b) = 4*b + 9. Let n(t) = 2*t - 2 + 2 + 3 + 1. Give j*p(w) + 9*n(w). 2*w Let u(t) = -t**2 - 5*t - 9. Suppose -z + 10 = 6. Suppose -12 = -3*y - 2*l, -2*y - 20 = -6*y - z*l. Let c(b) = b + 2. What is y*u(q) + 9*c(q)? -2*q**2 - q Let z(x) = -10*x**3 + 6*x**2 - 3*x - 43. Let s(c) = 9*c**3 - 4*c**2 + 2*c + 42. What is 3*s(d) + 2*z(d)? 7*d**3 + 40 Let l(k) = 2*k**2 + 3*k - 3. Let w(z) = -z + 1. Let x(u) = -u**2 - 44*u + 415. Let b be x(8). Determine b*l(s) - 3*w(s). -2*s**2 Let v(l) = -48*l. Let i(x) = x**3 + 8*x**2 - 9*x + 2. Let s be i(-9). Let q be -3*(-2 - 1/(-3)). Let a(c) = -c + q*c - c. Calculate s*v(r) + 33*a(r). 3*r Let q(c) = -5*c**3 + 2*c**2 - 3. Suppose -4*t - 175 + 187 = 0. Let r(y) = 9*y**3 - 5*y**2 + 5. Determine t*r(w) + 5*q(w). 2*w**3 - 5*w**2 Let c(b) = 3 + 2 - 2 + 5*b. Let f(y) = -3*y + 1. Let w(u) = -2*u + 1. Let p(a) = -4*f(a) + 5*w(a). What is 4*c(i) - 9*p(i)? 2*i + 3 Let l(w) = 15*w**3 - 11*w + 11. Suppose -5*x - 3*h + h = -26, x + 5*h + 4 = 0. Let y(c) = 2*c + c + 3*c - x - 8*c**3. What is 6*l(o) + 11*y(o)? 2*o**3 Let y(g) = 47*g**2 + 8*g - 4. Let p(i) = 142*i**2 + 22*i - 11. Give 4*p(o) - 11*y(o). 51*o**2 Let l(y) = -26*y**3 - 4*y - 1. Let c(q) = -129*q**3 - 21*q - 4. Calculate -2*c(p) + 11*l(p). -28*p**3 - 2*p - 3 Let t(w) = 2*w**2 - 3*w + 1. Suppose -4*b = 0, 0*b + 10 = 5*q - 5*b. Let c(a) be the second derivative of -1/6*a**3 + 5*a + 0*a**2 + 0. Determine q*c(g) - t(g). -2*g**2 + g - 1 Let s(u) = -u + 2. Let f(p) = -544*p**2 - 6*p + 13. Give -f(x) + 6*s(x). 544*x**2 - 1 Let z(t) = -312*t. Let q(a) = 6*a. Give -2*q(g) - 2*z(g). 612*g Let c(u) = u**2 - 2. Let p(y) be the second derivative of -1/20*y**5 + 1/12*y**4 + 13*y + 0*y**3 - 1/2*y**2 + 0. Give -c(z) + 2*p(z). -2*z**3 + z**2 Let u(d) = d**3 + d - 1. Let p(m) = -10*m**3 - 8*m**2 - 6*m + 6. Calculate -p(y) - 6*u(y). 4*y**3 + 8*y**2 Let n(p) = 9*p**3 - 22*p**2 - 11*p - 22. Let k(z) = -3*z**3 + 8*z**2 + 4*z + 7. What is -11*k(b) - 4*n(b)? -3*b**3 + 11 Let b(t) be the second derivative of t**3/3 - 3*t**2/2 - 11*t - 1. Let f(z) = -z + 1. Calculate b(h) + 5*f(h). -3*h + 2 Let c(t) = 2*t**2 + 9*t. Let f be (-2)/(-14) - (-21)/(-147). Let b(g) = 5*g + 3*g**2 + f*g**2 - 2*g**2. Let i be -6*(-2)/8*-2. Give i*c(w) + 5*b(w). -w**2 - 2*w Let t(m) = -333*m + 1 + 334*m + 2 - 3. Let i(s) = 34*s. Give i(n) - 51*t(n). -17*n Let p(f) = 15*f**3 + 9. Let q = 98 - 87. Let h(m) = -4*m**3 + 4*m - 9. Let b(y) = -9*y**3 + 7*y - 17. Let g(o) = -4*b(o) + 7*h(o). Determine q*g(z) - 6*p(z). -2*z**3 + 1 Let g(l) = 74*l - 2. Let h(z) = 73*z - 3. Give -6*g(s) + 4*h(s). -152*s Let x(u) = -2*u**2 + 2*u + 9. Let v(g) = -4*g**2 + 5*g + 17. Calculate -3*v(k) + 5*x(k). 2*k**2 - 5*k - 6 Suppose 0 = q + 3*q - 184. Let k(n) = q - 47 + 2*n**2 - 3*n**2. Let x(c) = 3*c**3 - 4*c**2 - 5. Calculate 4*k(t) - x(t). -3*t**3 + 1 Let j(v) = -45257*v**3 - 668*v**2 - 668. Let u(k) = 339*k**3 + 5*k**2 + 5. Give -5*j(g) - 668*u(g). -167*g**3 Let x(i) = -13*i**2 + 6*i - 11. Let w(s) = 7*s**2 - 3*s + 6. Suppose 0 = 15*r - 12*r - 2*q + 28, -2 = 2*r + 2*q. Determine r*x(m) - 11*w(m). m**2 - 3*m Let t(l) = -558*l**3 + 8*l. Let y(p) = 1673*p**3 - 22*p. Give -11*t(n) - 4*y(n). -554*n**3 Let d(c) = 16*c**2 + 15*c - 6. Let j(v) = -19*v**2 - 16*v + 7. Determine 5*d(o) + 4*j(o). 4*o**2 + 11*o - 2 Suppose -2*m + 0*r - 20 = -2*r, 3*m + 4*r = 19. Let p(n) = n**2 + n. Let z(q) = -q**3 + 3*q**2 + 0*q**3 - 2*q**2 + q. Determine m*p(f) + 3*z(f). -3*f**3 Suppose -5*h + i = 82, -3*i + 24 + 30 = -3*h. Let a(c) = 7*c**2 + 5. Let v(j) = -22*j**2 - 16. Determine h*a(o) - 5*v(o). -2*o**2 Let v(i) = -i**2. Let z(w) = -3*w**2 - w. Let p(g) = 5*v(g) - 3*z(g). Let l(h) = -h**2 - h - 1. What is 2*l(c) + p(c)? 2*c**2 + c - 2 Let h(l) = 3*l**3 + 7*l**2 + 9. Let g(s) = -3*s**3 - 9*s**2 - 8. Calculate 2*g(i) + 3*h(i). 3*i**3 + 3*i**2 + 11 Let w(b) = -7*b**2 + 2*b - 11. Let t(h) = 13*h**2 - 4*h + 22. Calculate -3*t(s) - 5*w(s). -4*s**2 + 2*s - 11 Suppose 13*n - 18*n + 33 = 2*a, 5*a - n = 42. Let t(l) = l**3 + 4*l**2 + 16*l - 1. Let j(v) = -2*v**3 - 9*v**2 - 33*v + 2. Give a*t(x) + 4*j(x). x**3 + 12*x - 1 Let i(x) be the third derivative of 23/24*x**4 + 0*x + 16*x**2 + 0 - 11/6*x**3. Let g(r) = -8*r + 4. What is -11*g(j) - 4*i(j)? -4*j Suppose 3*s + 0*s - 6 = -3*x, -10 = -5*s + x. Let b(y) = 6*y - 33 + 26 - 2*y + 3*y**s. Let u(a) = -8*a**2 - 11*a + 20. Calculate -17*b(l) - 6*u(l). -3*l**2 - 2*l - 1 Let m(v) = -7*v**2 + 6*v - 2. Let w(b) = -2 + 4*b**2 + 0*b - 2*b**2 + 3*b - 8*b**2 + 2*b. What is -5*m(q) + 6*w(q)? -q**2 - 2 Let p(d) = -8449*d + 1562. Let v(a) = -65*a + 12. Calculate -6*p(x) + 781*v(x). -71*x Let t(y) = y**2 - 3*y + 3. Let f(r) be the first derivative of 2/3*r**3 + 6 - 5/2*r**2 + 5*r. What is 3*f(c) - 5*t(c)? c**2 Let w(o) = 23*o - 69. Let i(d) = 11*d. Calculate -4*i(f) + 2*w(f). 2*f - 138 Let k(g) = -53*g - 8. Let l(x) = -27*x - 4. Give 2*k(s) - 5*l(s). 29*s + 4 Let h(r) = -28*r + 29. Let i(x) = 14*x - 16. Determine 6*h(f) + 11*i(f). -14*f - 2 Let h(j) = 6*j**3 + 9*j**2 - 9*j + 70. Let u(r) = -3*r**3 - 4*r**2 + 4*r - 34. Determine -4*h(v) - 9*u(v). 3*v**3 + 26 Let m(o) = 274*o**2 - 12. Let v(x) = 212624*x**2 - 9316. Determine -4658*m(z) + 6*v(z). -548*z**2 Let c(g) = 2*g**2 + 3*g - 4. Let v(k) = -2*k**2 - 3*k + 3. Let q(u) = -u**3 - 11*u**2 - 43*u - 57. Let s be q(-4). Give s*v(z) + 2*c(z). -2*z**2 - 3*z + 1 Let j(t) = t + 105. Let d(s) = s + 104. Determine 4*d(g) - 5*j(g). -g - 109 Let b(m) = m. Let q(p) be the third derivative of 5*p**4/8 - 3*p**2 - 2. What is 102*b(c) - 6*q(c)? 12*c Let v(f) be the first derivative of 2*f**2 + 3*f - 13. Suppose i = d, -3*i + 1 = d - 3*d. Let l be (-1 - 0)*i*3. Let p(h) = -9*h - 7. Give l*p(x) - 7*v(x). -x Let r(c) = -5*c**2 - 15*c - 10. Let m(y) = 2*y**2 + 7*y + 5. Calculate -13*m(x) - 6*r(x). 4*x**2 - x - 5 Let f(u) = 1. Suppose 10 = -5*m, 2*q = -0*m - 2*m. Let p(d) = 7*d + 74. Let i(x) = x + 12. Let w(v) = 6*i(v) - p(v). Give q*w(o) + 5*f(o). -2*o + 1 Let y(t) = 7*t**3 + 5*t**2 - 2*t - 7. Let f(u) = 2*u + 7. Let k be f(-1). Let b(s) = -6*s**3 - 4*s**2 + 2*s + 6. Calculate k*b(z) + 4*y(z). -2*z**3 + 2*z + 2 Let m(t) = -2*t**2 + 8*t + 9. Let k(s) = -6*s**2 + 23*s + 26. What is -6*k(b) + 17*m(b)? 2*b**2 - 2*b - 3 Let v(a) be the third derivative of -a**4/24 - a**3/6 - 198*a**2. Let f(w) = 3*w + 1. What is f(d) + 2*v(d)? d - 1 Let o(v) be the third derivative of v**5/15 + v**4/4 - v**3/6 + 112*v**2. Let n(a) = -12*a**2 - 17*a + 3. Calculate -6*n(h) - 17*o(h). 4*h**2 - 1 Let w(x) be the third derivative of -x**6/120 - x**5/12 + 5*x**4/12 + 5*x**3/6 - x**2 - 49. Let l(b) = -b**3 - 3*b**2 + 5*b + 3
{ "pile_set_name": "DM Mathematics" }
t is 0.8644719cm in nanometers? 8644719 What is 17/4 of a day in hours? 102 How many milligrams are there in fifty-five quarters of a gram? 13750 What is 3/10 of a century in years? 30 How many years are there in seven halves of a decade? 35 What is 658.1672ug in grams? 0.0006581672 Convert 804.6199 tonnes to kilograms. 804619.9 How many days are there in 35.566155 minutes? 0.02469871875 Convert 37.59019l to millilitres. 37590.19 How many kilograms are there in 378.5302ng? 0.0000000003785302 How many nanoseconds are there in fifteen quarters of a microsecond? 3750 How many tonnes are there in 3523.813 nanograms? 0.000000000003523813 How many years are there in 67/4 of a millennium? 16750 Convert 98.29092 kilograms to grams. 98290.92 How many hours are there in 67434.12 days? 1618418.88 What is 43/4 of a hour in seconds? 38700 How many millilitres are there in 1/4 of a litre? 250 How many nanograms are there in 1/5 of a microgram? 200 How many microseconds are there in fourty-two fifths of a millisecond? 8400 What is 1.9179234 months in millennia? 0.00015982695 How many years are there in one tenth of a century? 10 What is 101.2378 micrometers in kilometers? 0.0000001012378 How many kilograms are there in 2.512112g? 0.002512112 How many millilitres are there in 6/5 of a litre? 1200 How many minutes are there in 17/6 of a hour? 170 How many micrometers are there in 3/5 of a millimeter? 600 What is 15196.24ns in microseconds? 15.19624 How many millimeters are there in 37/2 of a centimeter? 185 Convert 93457.03 decades to millennia. 934.5703 How many years are there in 712425.9 millennia? 712425900 How many litres are there in 6.008059ml? 0.006008059 How many millimeters are there in 6/5 of a centimeter? 12 Convert 0.859714l to millilitres. 859.714 What is 783306.1ml in litres? 783.3061 How many months are there in five sixths of a century? 1000 Convert 47545.2s to hours. 13.207 What is 546.3077mm in micrometers? 546307.7 Convert 8269.09l to millilitres. 8269090 What is 408393.6 litres in millilitres? 408393600 What is 7441.979t in grams? 7441979000 Convert 48.60953kg to milligrams. 48609530 Convert 0.2495323um to meters. 0.0000002495323 How many months are there in 4/15 of a millennium? 3200 What is 587.918 seconds in nanoseconds? 587918000000 What is three eighths of a litre in millilitres? 375 How many millimeters are there in 0.2549432 kilometers? 254943.2 How many milligrams are there in three eighths of a gram? 375 How many nanograms are there in 21/5 of a microgram? 4200 What is 1/10 of a gram in micrograms? 100000 How many litres are there in 551243.2 millilitres? 551.2432 What is 0.7120775 years in decades? 0.07120775 How many millilitres are there in three eighths of a litre? 375 How many millilitres are there in 6093.982 litres? 6093982 How many grams are there in eleven quarters of a kilogram? 2750 What is six fifths of a millennium in years? 1200 How many millilitres are there in 9449.139l? 9449139 How many nanometers are there in 1/5 of a micrometer? 200 Convert 92.76372 litres to millilitres. 92763.72 How many minutes are there in 9/16 of a day? 810 What is 57.80513l in millilitres? 57805.13 How many hours are there in 283581.36s? 78.7726 What is 25711632.9 nanoseconds in days? 0.00000029758834375 What is 14/9 of a week in minutes? 15680 What is 2.6875962 milliseconds in days? 0.0000000311064375 What is 15/4 of a hour in minutes? 225 How many nanograms are there in 1/10 of a milligram? 100000 How many grams are there in fourty-nine fifths of a kilogram? 9800 How many months are there in 714182.9 centuries? 857019480 Convert 19352.92 years to centuries. 193.5292 How many millilitres are there in 57/5 of a litre? 11400 What is 0.6483407um in millimeters? 0.0006483407 How many kilograms are there in 5417.334ug? 0.000005417334 What is twenty-two fifteenths of a week in minutes? 14784 How many tonnes are there in 44.21631mg? 0.00000004421631 How many litres are there in 8.949439ml? 0.008949439 What is fourty-four fifths of a kilometer in meters? 8800 How many millilitres are there in fourty-two fifths of a litre? 8400 How many micrometers are there in 31/5 of a centimeter? 62000 How many seconds are there in 1/15 of a hour? 240 How many decades are there in twenty-five halves of a century? 125 What is 3/7 of a week in hours? 72 Convert 87781.24l to millilitres. 87781240 What is 29/5 of a litre in millilitres? 5800 How many kilograms are there in 91/4 of a tonne? 22750 How many nanometers are there in one tenth of a micrometer? 100 What is 2.1107625 months in decades? 0.0175896875 How many months are there in five quarters of a year? 15 How many kilograms are there in 6/25 of a tonne? 240 What is 8892.743ug in nanograms? 8892743 What is 34291.0827 minutes in weeks? 3.401893125 What is 17/2 of a centimeter in micrometers? 85000 What is one quarter of a micrometer in nanometers? 250 How many seconds are there in five eighths of a hour? 2250 Convert 0.729562ns to milliseconds. 0.000000729562 What is 13/12 of a year in months? 13 How many months are there in six fifths of a century? 1440 What is one quarter of a millennium in months? 3000 What is six fifths of a litre in millilitres? 1200 What is 275.5227 days in microseconds? 23805161280000 What is 401117.8 millilitres in litres? 401.1178 How many minutes are there in 30/7 of a week? 43200 How many meters are there in 698448.5 kilometers? 698448500 What is one quarter of a kilogram in grams? 250 How many millilitres are there in 3/40 of a litre? 75 How many nanograms are there in five quarters of a microgram? 1250 How many seconds are there in 0.9669912 hours? 3481.16832 What is 0.591501 litres in millilitres? 591.501 What is 85.30377 milligrams in nanograms? 85303770 How many centuries are there in 160.42869 months? 0.133690575 How many millilitres are there in 4841.38 litres? 4841380 How many millilitres are there in 19879.29 litres? 19879290 How many hours are there in seven sixths of a week? 196 What is 66.2213 days in minutes? 95358.672 Convert 4.387319 years to millennia. 0.004387319 What is seventy-one quarters of a meter in millimeters? 17750 What is 1/4 of a week in minutes? 2520 What is fifty-four fifths of a kilogram in grams? 10800 What is 71/5 of a millennium in centuries? 142 How many nanoseconds are there in thirteen fifths of a microsecond? 2600 Convert 0.6218205 days to minutes. 895.42152 How many millimeters are there in twenty-one fifths of a centimeter? 42 What is 0.3458416cm in meters? 0.003458416 How many centimeters are there in 7/8 of a kilometer? 87500 What is 4/7 of a week in minutes? 5760 Convert 0.929552 micrometers to centimeters. 0.0000929552 Convert 887945.625 seconds to weeks. 1.4681640625 Convert 563175.396s to weeks. 0.93117625 What is 12.49574ml in litres? 0.01249574 Convert 14774.778 months to millennia. 1.2312315 Convert 9.649482 millilitres to litres. 0.009649482 What is 3/25 of a litre in millilitres? 120 Convert 5764.415 litres to millilitres. 5764415 What is one sixteenth of a century in months? 75 How many microseconds are there in fourty-nine fifths of a millisecond? 9800 How many millilitres are there in twenty-one fifths of a litre? 4200 What is 9.529979 centuries in decades? 95.29979 What is 8715.9408 hours in weeks? 51.8806 How many grams are there in 5/8 of a kilogram? 625 What is 179543.574ns in weeks? 0.000000000296864375 How many millilitres are there in 45/4 of a litre? 11250 How many months are there in six fifths of a century? 1440 How many minutes are there in three sixteenths of a week? 1890 How many grams are there in 7/8 of a kilogram? 875 Convert 104.2616 weeks to seconds. 63057415.68 What is 9647.854t in nanograms? 9647854000000000000 How many grams are there in 8/25 of a kilogram? 320 What is 1/10 of a millimeter in nanometers? 100000 How many milligrams are there in 558799.5 tonnes? 558799500000000 What is 3/5 of a centimeter in millimeters? 6 What is 728.7732ml in litres? 0.7287732 How many millimeters are there in 3/8 of a meter? 375 How many years are there in 76/5 of a decade? 152 How many meters are there in 8239.658um? 0.008239658 What is 43/4 of a gram in milligrams? 10750 Convert 479542.3um to kilometers. 0.0004795423
{ "pile_set_name": "DM Mathematics" }
w = z + 392. Is w a composite number? False Suppose 0*l = l + 1078. Is 8/2 - (l - 5) a composite number? False Let g = -201 + 378. Is g prime? False Suppose -4*z = -9480 - 9652. Is z prime? True Is (2 - -2)*(-75)/(-20) a composite number? True Is (0 - -1)*616/8 a composite number? True Suppose -2*w - w = -q + 2, 5*w = -5*q + 30. Suppose q*j = -0*j + 445. Is j a composite number? False Is 4*(-3)/(-4) - 3 - -1219 composite? True Let z be (-6)/(-15) - 18/(-5). Is 40/16 + 2/z prime? True Let c = -272 - -523. Is c composite? False Is (6/(-36)*-51)/((-2)/(-92)) a composite number? True Let k be (-3 - 9/(-3)) + 2. Suppose -3*a = 5*q - 3 - 0, 5*a = -k*q - 14. Is (26/a)/((-1)/14) composite? True Suppose 3*s - 5*s = -22. Is s a prime number? True Let u be 2/((-6)/3)*-149. Let z = u - 101. Suppose p - z = 19. Is p composite? False Let p be 182 + (-1 + -3)/(-2). Let j be p/3 + (-6)/(-9). Let v = -41 + j. Is v a composite number? True Suppose 5*r - 1479 = -464. Is r a prime number? False Let k(b) = -b**3 + 11*b**2 - 11*b + 12. Let a be k(10). Suppose -4*o + 4*n + 196 = 8*n, a*n + 259 = 5*o. Is o composite? True Let h(k) = k**2 - 8*k + 6. Let m be h(8). Let o be (m/5)/(6/15). Suppose -111 = -o*y - 0. Is y composite? False Let h = 52 + -5. Let w = 0 + h. Is w a prime number? True Let q be (4 + 1)/(1/1). Suppose 3*f - 240 = 2*l - q*l, f = 2*l + 89. Is f prime? True Let s(m) = -m**3 + 2*m**2 + m + 4. Let q be s(5). Let n = 187 - q. Is n prime? False Let w be 8 - (12 + -3)/3. Suppose -29 = -3*m + w*p, 5*m + 4*p = 3*p + 67. Is m composite? False Is 0 + (-2 - (0 - 5303) - 4) composite? False Suppose d + d + 3*f = -17, 5*d - 5*f + 80 = 0. Let r = 20 + d. Let n(w) = -w**2 + 10*w - 8. Is n(r) prime? True Suppose 2*o - t = 108, 5*o - t - 65 - 208 = 0. Is o a composite number? True Let p = -2 + 54. Is 2/4*(p + 0) composite? True Suppose -4*f + 426 = -386. Is f prime? False Let l(u) be the third derivative of 0*u**4 + 0*u + 0 - 1/60*u**5 + 1/120*u**6 + u**3 + u**2. Is l(0) prime? False Let m(r) = r + 3. Suppose q - 13 - 2 = 0. Let b = q + -11. Is m(b) prime? True Is ((-1)/3)/(1/(-573)) a prime number? True Suppose 3*f - 266 = 181. Is f prime? True Let p be 2/(-4) - (-53)/2. Is 4/26 - (-10630)/p a composite number? False Suppose -32787 = -s - 8*s. Is s a prime number? True Suppose 0*b + 5*b = 15. Suppose 2*p - 590 = -b*p. Is p composite? True Let l = 16 + -16. Suppose 37 = -l*c + c. Is c a prime number? True Let b = -207 - -366. Is b a composite number? True Let w be 24/11 + (-8)/44. Suppose -g + 89 = 4*k, w*k = -k + 15. Is g composite? True Suppose -5*r + 2494 = 609. Is r a composite number? True Let t = 10 - 6. Let q(d) = -d**3 + 5*d**2 - 5*d + 6. Is q(t) composite? False Let m = 1518 - 758. Suppose -m = -2*k - 3*y, 4*k - y - 1512 = -3*y. Is k a prime number? False Let n(a) = -668*a**3 - 5*a**2 + 5*a - 7. Let q(h) = -1002*h**3 - 7*h**2 + 7*h - 10. Let o(c) = 7*n(c) - 5*q(c). Let f be o(-1). Is (-4)/(-10) - f/5 composite? False Suppose -2*d - 206 + 664 = -3*i, 5*d - i - 1132 = 0. Let z = d + -111. Is z prime? False Let y(d) = -77*d + 5. Is y(-6) prime? True Suppose 0 = -2*p + 4 + 28. Suppose -p = 4*u - 8*u. Is (3 - 6) + u - -96 a composite number? False Let a = 2 + 3. Suppose -5*l - 25 = -3*n, 3*n + a*l = l - 20. Is (n - 1) + (125 - 3) a prime number? False Let y be 10/15 + (-7)/(-3). Suppose -8 = o - y*o. Suppose o*s - 161 = 651. Is s a composite number? True Suppose 0*l = -l + 5. Let d = -3 + l. Is d/9 + (-1756)/(-36) composite? True Let a be 5*4 + (-12)/(-4). Suppose 0*r - r + 4*h + a = 0, -h = 2*r - 37. Is r composite? False Let o(a) = 3*a - 5. Let x be (-10)/(-2) + -5 + 3. Suppose -5*i = g - 39 - 2, 2*g = -x*i + 26. Is o(i) a composite number? False Let q = -3 + 5. Suppose -5*f + 310 = q*d + 61, -5*d - 4*f = -631. Is d a composite number? False Suppose -5*p + 9 = -2*p. Suppose 0 = 2*a - p*l + 8*l + 25, -5*l - 25 = 0. Let k = 19 - a. Is k composite? False Suppose -u + 0*z = -2*z, 5*u - 5*z = 5. Let v = -1 + u. Is (160 + v + 0)/1 a prime number? False Let h(u) = 630*u**3 + u**2 - u + 1. Is h(1) prime? True Let b(c) = 405*c + 11. Is b(8) composite? False Let v = 0 - -2. Let w = 415 + -282. Suppose -v*t + t = -w. Is t a composite number? True Let r = 1039 + -560. Is r a prime number? True Let f(x) = -x**2 - 10*x - 12. Let n be f(-8). Suppose -n*u - 940 = -4*l, 4*l + 3*u = 496 + 479. Suppose -244 = -4*k + l. Is k a composite number? True Let w be 7 + (-2 - (-2 + 1)). Suppose 4*b = 12, 3*t + 11*b - 24 = w*b. Suppose -2*o + 3*f + 62 = -10, 4*o + t*f = 162. Is o a prime number? False Suppose 5*f = 4819 + 1576. Is f prime? True Let k(m) = m**3 - 7*m**2 + 2*m + 7. Let j(p) = p**2 + 2*p - 1. Let f = -10 - -6. Let n be j(f). Is k(n) a composite number? True Let y = 2 + 1. Suppose 3*z = y*u - z - 115, -4*z = u - 33. Is u composite? False Let d(l) = l**3 - 8*l**2 - 7*l - 11. Let z(x) = -x**2. Let q be z(-5). Let w = -16 - q. Is d(w) a composite number? False Is 2160 + ((-1)/(-3))/((-15)/45) composite? True Suppose 0 = 3*i - 8*i + 3855. Is i a composite number? True Let c = -2955 - -4210. Is c a prime number? False Let u(h) = h**2 + 2*h + 2. Let r be u(-3). Suppose -r*m = -3*o + 466, o + 5*m = 147 - 25. Is 0/(-2) - o/(-3) a prime number? False Let m be (-4)/(-3)*(-9)/(-6). Suppose 2*c + m*c = 52. Let o = 26 - c. Is o a prime number? True Let f(u) = -u**2 - 5*u + 8. Suppose 7 = -y + 1. Let n be f(y). Suppose 3*q = -n*q + 15. Is q composite? False Let m = 10 - 8. Suppose 124 = -m*t + 6*t. Is t a composite number? False Let l(j) = 11*j**2 + 4*j - 4. Is l(-5) prime? True Let f(s) = 10*s**2 + 8*s - 5. Let a = -19 - -12. Let m be f(a). Suppose u + 2*u - m = 0. Is u prime? False Suppose 427 = 2*c - 283. Suppose 0 = d + 5*k - 105, -k - 4*k - c = -3*d. Is d prime? False Let r(v) = 184*v**2 + 2*v - 1. Let j be r(1). Let l = 602 + j. Is l a composite number? False Suppose 4*y + 3 = 23. Suppose s + 4*a = -87, -4*s - y*a + a = 324. Let h = -56 - s. Is h composite? False Let m = 1787 - 1156. Is m composite? False Is -11*(-5)/(2 + -3)*-1 a prime number? False Suppose 15 = 3*w - 3*i, 3*i - i = -4*w + 2. Suppose -w*l - 14 = -3*a, 5*l = 3*a + 2*l - 18. Suppose -3*g + 91 = -n + 27, 0 = g - 5*n + a. Is g composite? False Let n(h) be the third derivative of 19*h**4/24 - 13*h**3/6 + h**2. Is n(12) composite? True Suppose 2*v - 3*q = 5*v - 537, 179 = v - 4*q. Is v a composite number? False Let l = -5 - -9. Let m = -3 + l. Is ((-25)/(-4) - m)*4 a prime number? False Suppose 5*m + 710 = -2*t + 86, -m = -2. Let v = t + 448. Is v prime? True Let p(s) = -s**3 - 6*s**2 - 3*s - 8. Let y be p(-6). Let v(k) = 28*k. Let z be v(y). Suppose -3*a + z - 13 = 0. Is a prime? True Suppose -4*n - 3*i + 25 = 0, 8*i - 15 = -4*n + 3*i. Suppose -y - 4*y - n = 0. Is (11/y)/((-4)/16) a prime number? False Suppose 19027 + 34302 = 17*x. Is x a prime number? True Suppose y - 2*m - 7 = 0, m = -0*y + y - 4. Let s be 29 + (-1 - -2 - y). Suppose v + 10 - s = 0. Is v prime? True Let c(y) = y + 8. Let f be c(-6). Suppose -5 = f*s + 3*s, 3*u + 12 = -3*s. Let d = u + 6. Is d composite? False Let t = -8 - -14. Let s(h) = 5*h**2 - 6*h + 5. Is s(t) a composite number? False Let t be 904/12*(5 + -2). Suppose t = z + z. Is z a prime number? True Suppose -4*f + 6*f = 0. Suppose 0 = -p - p - 2*x + 118, f = -4*x - 12. Is p composite? True Suppose 2*g = 5*b - 9, -3*b = 4*g - 0*g - 21. Suppose 0 = -b*h + h + 18. Is h a prime number? False Let o = -191 + 134. Let m = 21 - 45. Let f = m - o. Is f a composite number? True Let a = -74 + 111. Is a composite? False Let o = 1598 - 3011. Is (-2)/(3*6/o) a prime number? True Is 2*(-1 - 0)*3166/(-4) a prime number? True Let p(t) = -2*t + 1. Let l be p(-1). Let z(v) = 5*v**2 - 2. Let i be z(6). Suppose i = l*c - c. Is c a composite number? False Let k(b) be the first derivative of -b**4/4 - 2*b**3/3 - 3*b**2/2 - 5*b + 1. Let f be (-4 + 3)*1*5. Is k(f) a prime number? False Let h = 12 + -8. Let n(y) = -4 + 0*y + 3*y**2 - 2*y - 1. Is n(h) prime? False Suppose 7*v - 932 = 10625. Is v composite? True Suppose 2115 - 636 = 3*q. Is q composite? True Suppose 0 = -z + d + 520, 3*d = -z - 2*z + 1542. Is z a prime number? False Let b be (4/4)/(1/393). Let k = -278 + b. Is k a composite number? True Suppose 4 =
{ "pile_set_name": "DM Mathematics" }
earest one hundred? 800 Let r = -3.5 + 3.235. What is r rounded to one decimal place? -0.3 Let b = -1.72008 + -268.286576. Let y = b - -270. What is y rounded to 3 decimal places? -0.007 Let m be (-2)/4*453197 - 1/(54/81). Round m to the nearest 100000. -200000 Let t = 1449.41 + 2.59. Let o = 1462.11 - t. Round o to 1 dp. 10.1 Suppose 8*l = 43*l - 18*l - 6701740. Round l to the nearest 1000. 394000 Let z = -94.6723 + -6.8907. Let w = z - -93.8. Let a = w - 0.927. What is a rounded to zero decimal places? -9 Let h = 24 + -23. Suppose h = 2*c + 5*k - 11, 64 = 3*c - 4*k. Let a be (4 - (-2436)/c)*22400. What is a rounded to the nearest one million? 4000000 Let i = -81 - -82. Let s be 6 - (i + -1)/(2/(-1)). Suppose 9*m = s*m + 3. Round m to the nearest integer. 1 Let i = 0.27354 - 21.30354. What is i rounded to the nearest integer? -21 Let w = -4142.877 - -4139. What is w rounded to 1 dp? -3.9 Let s = -466.234815 - 0.075185. Round s to the nearest 100. -500 Let a be (-135)/(-18)*(1443/(-5) + -1). Let u = a + 1385. What is u rounded to the nearest ten? -790 Let n = 614.457 - -0.543. Let y = n + -615.00000399. Round y to six dps. -0.000004 Let d = -11.86 - -11.93235. What is d rounded to 2 dps? 0.07 Let x = -370 - -209. Let w = x + 161.028. Round w to two decimal places. 0.03 Let b = 640 - 648.379. Round b to 0 decimal places. -8 Let r = 88423838 + -88423831.5100083. Let h = 6.49 - r. Round h to 7 dps. 0.0000083 Let b = -3164.72 - -3221. Let a = -723 - -669. Let j = b + a. What is j rounded to 1 dp? 2.3 Let m = -513.282 - -513. Let s = 0.2819999941 + m. What is s rounded to seven decimal places? 0 Let i be -3 + (-70 - 6)*1/(-4). Let n be ((-1470)/(-4))/(-7)*i/(-12). Let t be (-2584)/(-14) - (-5)/n*-8. Round t to the nearest one hundred. 200 Let h = -10.38617587 + 10.838176109. Let v = h + -0.452. Round v to 7 dps. 0.0000002 Let t = 25218578 + -16549578. Round t to the nearest one million. 9000000 Let w = 0.13687621 - 0.1368. What is w rounded to 6 dps? 0.000076 Let h = -697.7847 - -697.2. What is h rounded to one dp? -0.6 Let b = -59551.71 + 59804. Let l = b + -241.2. Round l to the nearest integer. 11 Let p(y) be the first derivative of y**3/3 - y**2 - 11240*y + 356. Let w(t) = t**2 + 4*t + 3. Let i be w(-3). Let u be p(i). Round u to the nearest 1000. -11000 Let m = 0.6539 + -143.9419. Let r = 143 + m. Round r to 2 dps. -0.29 Let l be (-12)/(-9)*(35248 - (-2 - 3)). Let o be (-3 + -1)/2 - -1. Let y be 7 + -10 + o + l. Round y to the nearest 10000. 50000 Suppose -977 - 11468 = 5*o. Let n = 6452 + o. Let q = n - -14637. What is q rounded to the nearest 1000? 19000 Let v be 4/(-8) - 276/(-8). Suppose 0 = 3*c + 5*i - v, -6*i + 6 = -3*c - 3*i. Suppose -2*q + 1 = c. What is q rounded to zero decimal places? -1 Let p = -6553 + 6553.00008948. Round p to five dps. 0.00009 Let a = -0.82802 - -0.8241039. Round a to five decimal places. -0.00392 Let u = -432 + 522. Let n = 2612 - 2516.48. Let q = n - u. What is q rounded to 0 decimal places? 6 Let w = -57.4258 - -1156689.4258. Let d = 1156632.0529921 - w. Let n = 0.053 - d. What is n rounded to six decimal places? 0.000008 Let u = 127.851 - -0.149. Let y = -128.499015 - -0.320015. Let x = u + y. What is x rounded to two dps? -0.18 Let j = -30975382.659 - -30975213.10077041. Let f = 342.55823378 + j. Let g = 173 - f. Round g to seven dps. -0.0000042 Let v = -122 - -196. Let h = v + -192. Let c = 129.7 + h. What is c rounded to 0 decimal places? 12 Let b = -1660220.8798 - -1659355. Let z = b - -866. Let l = -0.12 + z. Round l to 3 decimal places. 0 Suppose f = -2*f + 5*g + 125, 0 = -5*f + g + 179. Let u be ((-6)/4)/((f/250)/(-7)). Let l = u + -28. Round l to the nearest ten. 50 Let y = 6096233385.0229595 + -6096295968. Let a = -62583 - y. Let o = 0.023 + a. What is o rounded to 5 decimal places? 0.00004 Let a = -0.069445 + 0.07021027. Round a to five dps. 0.00077 Suppose 173929545 = -147*z - 45688455. Round z to the nearest ten thousand. -1490000 Let d = 7.1 + -6.29. Let h = 73.79 + d. Round h to the nearest 10. 70 Let h = 310845215.8445 + -310846619.844499353. Let k = -1404 - h. What is k rounded to seven dps? -0.0000006 Let o = 3.3019 - 51.8989. Let s = o - 0.583. Let l = s - -54. Round l to 1 dp. 4.8 Let k = -0.15982 - -2.02432. What is k rounded to one decimal place? 1.9 Let q = -4495 - -4481.391. What is q rounded to 0 dps? -14 Let s = 118030 - 189463. Let k = -132033 - s. What is k rounded to the nearest 10000? -60000 Let i = 83 + -141. Let v = i + 68. Let g = v - 9.9773. Round g to 3 decimal places. 0.023 Let q = 210 + 632. Let o = q + -841.91488. What is o rounded to 2 dps? 0.09 Let y = 646 - 645.988234. Round y to three dps. 0.012 Let t = -1.447 + 388.547. Let b = t - 411. Round b to zero decimal places. -24 Let t = -14248.173 - -14266. Let n = 52.775 - t. Let r = 35 - n. What is r rounded to two dps? 0.05 Let c = 15749107.9001052 + -15748844.9. Let l = -263 + c. What is l rounded to 5 dps? 0.00011 Let d = 3.048 + -3.0483111. What is d rounded to four decimal places? -0.0003 Let y = -67.061 - -67. Let l = y - -0.325. Let c = l - 0.26399889. What is c rounded to 7 decimal places? 0.0000011 Let y = 716.367 + -1.367. Let p = y - 769.7. What is p rounded to the nearest 10? -50 Suppose -15*r = -20*r + 30, -296784 = -4*f - 4*r. What is f rounded to the nearest ten thousand? 70000 Let n = 58546879.07286 - 58550430. Let z = n - -2309.92163. Let y = 1241 + z. Round y to 4 dps. -0.0055 Let f be 3/((-9)/(-6))*(-34668961)/(-2). Suppose -a + 2 = 0, -4*a - 26531031 = -3*n + f. Round n to the nearest 1000000. 20000000 Let a = 38.8683 + -37.17. Round a to 2 decimal places. 1.7 Let b = -0.35987 + 0.04268. Round b to 1 decimal place. -0.3 Let h = 3065.46 + -22.26. Round h to the nearest ten. 3040 Let p = 10104.61 + -9182. Round p to the nearest ten. 920 Let y = 185.9595 + -186. Let t = y - -0.040499278. Round t to 7 dps. -0.0000007 Let p(r) be the third derivative of -74441*r**4/12 - 29*r**3 - 189*r**2. Let j be p(-7). What is j rounded to the nearest 10000? 1040000 Let j = 24298 + -24298.88495. Round j to one decimal place. -0.9 Let d = 31.051 - 0.051. Let v = d - -44. Let k = v - 74.926. What is k rounded to 2 decimal places? 0.07 Let d be 120/(-150)*-1*145. Let h be d/87 + (-55619992)/(-6). What is h rounded to the nearest 100000? 9300000 Let r(w) = -1079*w**2 - 25*w + 26. Suppose -8*y = 8 + 96. Let h be r(y). Round h to the nearest ten thousand. -180000 Let k = 3937.691 - 3938. What is k rounded to zero dps? 0 Let y = -344 - -346. Suppose y*z + 560 = -370. Round z to the nearest 10. -470 Let a(u) = u**3 + 3*u**2 - 7*u - 13. Let c be a(-4). Let x(t) = 101*t + 18. Let h be x(c). Round h to the nearest integer. -83 Let a = -181.3394424 - -1451041548.3394424. Let y = a - 1451041489.0000133. Let j = y - -122. What is j rounded to 6 decimal places? -0.000013 Let s = -30625.85437 - -30626. Let j = s - 0.143. What is j rounded to four decimal places? 0.0026 Let h(k) = 16*k - 4 - 14*k + 5*k**3 - 5*k - 5*k - 9*k + 16*k**2. Let v be h(11). What is v rounded to the nearest one thousand? 8000 Let q = 34323.4605 + -34334. Round q to 1 decimal place. -10.5 Suppose 5 = -5*c + p, -p + 7 = c + 2. Suppose 2*k + 2*t = 10, 3*t - 2*t - 5 = c. Suppose k = -4*g + 7*g + 10*g. What is g rounded to one decimal place? 0 Let k = -2130601 - -1171501. Round k to the nearest 1000000. -1000000 Let n = 2542.9999996928 - 2543. What is n rounded to seven dps? -0.0000003 Suppose 5*h - 5*k - 3 = 37, -5*k = -h + 28. Suppose 56 = 5*i + 36. Suppose 0 = -5*b + 4*a - 4904, 4*b + i*a = h*b - 976. What is b rounded to the nearest 100? -1000 Let h = -85 + -1. Let m = h - -85.99297. What is m rounded to three decimal places? -0.007 Suppose 4*w + 354438 = -5*d, -3*w - 69381 - 72390 = 2*d. Round d to the nearest 1000. -71000 Suppose -23*s = -24*s + 5. Suppose -3*c - s*u = -2*c + 1120000, 0 = c - 2*u + 1120000. Round c to the nearest one million. -1000000 Let x be (-1 - (-30)/(-2))/(-1 - 1). Suppose 0 = x*q + 5376 + 736. What is q rounded to the nearest 100? -800 Let w = 24521 - 24429. Let s = -30716463 + 30716555.000455. Let o = w - s. What is o rounded to 4 decimal places? -0.0005 Let c = 50376 - 50376.00000096849. What is c rounded to 7 decimal places? -0.000
{ "pile_set_name": "DM Mathematics" }
-191263 Calculate -4 divided by 38103170. -2/19051585 Divide 391214135 by -78242827. -5 -12 divided by -1861934 6/930967 Divide 220376030 by -3871. -56930 -4460 divided by 17370 -446/1737 Calculate 2512798172 divided by 4. 628199543 Calculate -1217421 divided by 7957. -153 98427120 divided by 4279440 23 -4827960 divided by 45 -107288 What is 1754358 divided by -27? -584786/9 Calculate 327796 divided by -703. -327796/703 Divide 1125150750 by -4050. -277815 What is 11740010 divided by -2348002? -5 -105279 divided by 57 -1847 84025453 divided by 3 84025453/3 Divide -13104900 by 100. -131049 Calculate 15058304 divided by 9. 15058304/9 160826808 divided by -27057 -5944 Divide 54762329 by -3. -54762329/3 What is -3540559 divided by -39? 3540559/39 Divide 151 by -6874. -151/6874 -55564952 divided by -4574 12148 Divide 1012891 by -62. -1012891/62 What is -2170506 divided by 27827? -78 Divide 13 by -10823704. -13/10823704 Divide 81599 by -202. -81599/202 Calculate 0 divided by 29420338. 0 -290186928 divided by 27 -10747664 Calculate 325403691 divided by -108467897. -3 3 divided by -586611 -1/195537 What is -990842122 divided by 3? -990842122/3 0 divided by 3003464 0 What is -4130236 divided by 473? -8732 80215794 divided by -6 -13369299 4019254 divided by -3 -4019254/3 What is 15403422 divided by -5134474? -3 What is 0 divided by -66267277? 0 Divide -4835 by -7148. 4835/7148 Divide 110627160 by 120. 921893 Calculate 30600856 divided by 2781896. 11 What is 35966178 divided by 4? 17983089/2 What is 0 divided by -4610328? 0 What is -7407720 divided by 14440? -513 111475953 divided by -2185803 -51 What is 6633162 divided by -195093? -34 Calculate -2143 divided by -311. 2143/311 Calculate -3 divided by -24107865. 1/8035955 Calculate -68 divided by 2318187. -68/2318187 Divide 859094 by -13. -859094/13 Divide -827 by -2491. 827/2491 What is -20118090 divided by 20018? -1005 Divide 510685135 by -41. -12455735 What is 968 divided by -147166? -484/73583 Calculate -23500295 divided by 23500295. -1 What is -78902800 divided by 986285? -80 Calculate 4 divided by -14956525. -4/14956525 Divide -38599316 by 567637. -68 -11422 divided by 299 -11422/299 193281373 divided by 4 193281373/4 What is -9 divided by 3355375? -9/3355375 Calculate -460538772 divided by 2193. -210004 Divide 3738215 by 1. 3738215 Divide -65760702 by -87798. 749 Divide 107594490 by 930. 115693 What is -2389195 divided by -9? 2389195/9 27355127 divided by -6 -27355127/6 329295852 divided by -36588428 -9 Calculate 68 divided by 172344. 17/43086 Calculate 10448708 divided by 10448708. 1 What is -13265 divided by -561? 13265/561 What is -3830 divided by -33797? 3830/33797 -4471 divided by -7245 4471/7245 Divide -9985227 by -55167. 181 Divide -2057 by -4747. 2057/4747 Calculate -289035945 divided by 5255199. -55 Divide -138391440 by -55180. 2508 Calculate -26083998 divided by -38. 686421 Calculate 64491514 divided by 2. 32245757 Divide 25 by 747006. 25/747006 Divide -3417885 by -227859. 15 Divide 3 by 12711071. 3/12711071 Divide -1253297 by 19. -65963 Divide 0 by -1968967. 0 What is -189776 divided by 116? -1636 Calculate 2656851 divided by -28. -2656851/28 -29453 divided by 4911 -29453/4911 Calculate -216776598 divided by -1011. 214418 Calculate 35290152 divided by -7. -35290152/7 Divide -128406200 by -9877400. 13 Calculate 11 divided by 10616084. 11/10616084 Calculate -1288776191 divided by -1. 1288776191 Divide 2 by -44479389. -2/44479389 Calculate 760515 divided by 18. 253505/6 Divide 50 by -167874. -25/83937 Divide 699516352 by -4. -174879088 Calculate -1402 divided by 4533. -1402/4533 Calculate 45056 divided by -98. -22528/49 Calculate 32886 divided by -2418. -5481/403 What is 1396 divided by 378175? 1396/378175 8866044 divided by 306 28974 What is 7946690 divided by 1? 7946690 Divide -28718 by -2733. 28718/2733 What is -1611341680 divided by -4? 402835420 Divide -175722 by 29287. -6 Divide 5276242 by 12. 2638121/6 Calculate 97 divided by -181023. -97/181023 5515307 divided by -54607 -101 2 divided by 26807967 2/26807967 Calculate 145 divided by -8234795. -29/1646959 -1491177 divided by 26161 -57 Calculate 6 divided by 22940196. 1/3823366 Calculate -20309656 divided by 6. -10154828/3 Divide -67275406 by -2. 33637703 Calculate 249465684 divided by -1. -249465684 Calculate 6629800 divided by -10. -662980 142691332 divided by -20384476 -7 Calculate -196422033 divided by -1. 196422033 Calculate -30 divided by -2522913. 10/840971 What is -11405961 divided by 87? -131103 Divide 25715088 by -3673584. -7 Divide -1584212 by -1. 1584212 -22008784 divided by 1808 -12173 365022602 divided by 6 182511301/3 Calculate -79068290 divided by -255059. 310 What is -238326840 divided by 23832684? -10 -995377 divided by -632 995377/632 Divide 1 by 4470376. 1/4470376 Divide 213513 by -1561. -213513/1561 Divide 5519868 by -2. -2759934 Divide 4995567 by 1665189. 3 Calculate 24960 divided by -24. -1040 Calculate 3525043 divided by -21. -3525043/21 Divide 3 by -20588825. -3/20588825 What is -10069416 divided by -1? 10069416 What is -92487465 divided by -3299? 28035 Divide -1525 by -54934. 1525/54934 What is -67 divided by 490714? -67/490714 Divide 4938180 by 15. 329212 Calculate 152131434 divided by -2. -76065717 3 divided by 30475207 3/30475207 Divide 4 by -28414023. -4/28414023 41455600 divided by 169900 244 What is 7777758 divided by 4? 3888879/2 12742 divided by -752 -6371/376 Divide 7884856 by -4. -1971214 Calculate -43 divided by -26821831. 43/26821831 What is -79738 divided by 9? -79738/9 Calculate 1296 divided by 727941. 432/242647 -1049891 divided by 5 -1049891/5 Calculate 3 divided by 6985675. 3/6985675 Calculate -530015 divided by -4. 530015/4 -12823440 divided by -898 14280 8420633 divided by -8 -8420633/8 -313 divided by -121564 313/121564 -145909215 divided by 15 -9727281 Divide -24 by 24464842. -12/12232421 Calculate -549193449 divided by 3. -183064483 Calculate 3464 divided by -353. -3464/353 Divide 1 by 1541369. 1/1541369 Divide -6877 by 7537. -6877/7537 Calculate 36538965 divided by -45. -811977 Calculate 54956746 divided by 30979. 1774 What is 1132819 divided by -1? -1132819 What is 52509326 divided by 53? 990742 -12063897 divided by 3 -4021299 What is 129544630 divided by -5? -25908926 Calculate -2016 divided by -2465. 2016/2465 Divide -9596 by 690. -4798/345 Divide 54 by -22303. -54/22303 Divide 3263117 by -13. -251009 Calculate -450306 divided by 6. -75051 Calculate -4 divided by 8516615. -4/8516615 Divide 0 by 275028424. 0 Divide -28 by -909394. 14/454697 Calculate 805259 divided by -198. -805259/198 Divide 8 by -1716024. -1/214503 21234600 divided by -72 -294925 -10972460 divided by 4 -2743115 Divide 1031725 by -25. -41269 Calculate -66172 divided by 1874. -33086/937 Divide 11276 by -1952. -2819/488 -46517472 divided by -1824 25503 Calculate 22703200 divided by -3700. -6136 What is 732540 divided by -51? -244180/17 Divide 17265272 by 206. 83812 33882330 divided by -1905 -17786 Calculate -253002 divided by 21. -84334/7 What is -72185660 divided by -10? 7218566 Divide 165 by 655484. 165/655484 Divide 25899 by -64. -25899/64 Calculate 10323780 divided by -3441260. -3 109061000 divided by -764 -142750 What is -24707187 divided by 8235729? -3 What is 1 divided by -988241? -1/988241 Calculate -5252202 divided by -291789. 18 Calculate 31905 divided by 1506. 10635/502 Divide -151721822 by 6. -75860911/3 Calculate 1651310 divided by 4. 825655/2 What is 207113004 divided by -5591? -37044 Calculate -1496284440 divided by 24. -62345185 Calculate 0 divided by 996550. 0 Divide -2695 by 51789. -2695/51789 Calculate -5826 divided by -3191. 5826/3191 -3163818 divided by 42 -75329 2059590 divided by 16 1029795/8 -390089519 divided by -2 390089519/2 100571 divided by -410 -100571/410 What is 62851470 divided by -6730? -9339 Calculate 36167494 divided by 1643977. 22 Divide -195 by 623930. -39/124786 Calculate 16871142 divided by 5623714. 3 Divide 14531 by -4146. -14531/4146 Calculate -9354582 divided by 642. -14571 3 divided by 51344651 3/51344651 What is 3068565 divided by 15? 204571 -115083098 divided by 37 -3110354 Calculate 20813196 divided by -12. -1734433 41039544 divided by 42 977132 What is -222850 divided
{ "pile_set_name": "DM Mathematics" }
ppose -s - 3*w = -5*w + u, 5*s = 2*w - 5. What is r(s)? 7 Let g(v) = v + 4. Let w(i) = 1 + 7*i - 2*i - 4*i. Let r be w(3). Determine g(r). 8 Let h(a) = -3*a + 1. Let b(n) = -n**2 + 6*n + 10. Let z be b(7). Calculate h(z). -8 Let y(f) = f**3 - 6*f**2 + 5*f - 6. Let k(c) = 2*c**2 - 4*c - 1. Let h be (-6)/(2*(3 - 4)). Let j be k(h). What is y(j)? -6 Let g(a) = 6*a + 1. Let p = 40 + -41. Calculate g(p). -5 Let m(v) = v + 6. Let y be -2 - (-1)/((-2)/22). Let t be 1/1*-1*18. Let u = t - y. What is m(u)? 1 Suppose 2 = -5*k + 22. Suppose 2*u + 2*n = 0, k*u - 6 = -n - 0. Let r be -1 + (u - 1 - -6). Let s(h) = h**3 - 6*h**2 + 6. Calculate s(r). 6 Let z(o) = 8*o**3 + 20*o**2 + 3*o - 17. Let y(w) = -3*w**3 - 7*w**2 - w + 6. Let p(b) = 11*y(b) + 4*z(b). Suppose -t + 6 = t. Calculate p(t). 1 Let r(k) = 2*k + 6. Suppose 0 = -0*s + 3*s + 12. Calculate r(s). -2 Let b(d) = d**3 - 5*d**2 + 4*d - 4. Let u(a) = -a**3 + 5*a**2 - 3*a. Let y = -9 + 13. Let f be u(y). Determine b(f). -4 Let t(r) be the third derivative of r**4/12 - r**3/3 + 9*r**2. Determine t(-5). -12 Let x(s) = -s**2 + 9*s - 3. Let g be x(8). Let j(h) = h + g - 9 + h**2 + 0. What is j(-4)? 8 Let t(q) = -10*q + 23 - 32 + 9*q. Calculate t(-8). -1 Suppose -3*j = -4*r + 1 - 23, -3*j + r + 19 = 0. Let t = j + -6. Let b(o) be the second derivative of -o**5/20 + o**4/12 - o**3/6 - 3*o**2 - o. What is b(t)? -6 Let x(c) be the second derivative of c**5/20 - c**4/4 + 3*c**2/2 + c. Let d be 2 + 3 - 1*-1. Let v = 9 - d. Calculate x(v). 3 Let y = 8 + -8. Let j(l) be the third derivative of y*l + 0 + 1/24*l**4 - l**2 + 1/3*l**3. Calculate j(2). 4 Let c(j) be the third derivative of -j**5/60 - j**4/3 - j**3/3 + 3*j**2. Calculate c(-8). -2 Let o(v) be the second derivative of v**3/6 + 4*v**2 + 27*v. Determine o(-6). 2 Let y(n) be the third derivative of -n**2 - 1/60*n**5 + 1/2*n**3 + 0*n + 0 + 1/12*n**4. Suppose 0 = 2*m + v - 5, -7*v + 2*v - 15 = 0. What is y(m)? -5 Suppose -4*g = -7*g + 6. Let p(s) = -1 - s + 4*s - g*s. Let j(l) = l**3 - 4*l**2 - 5*l + 4. Let x be j(5). Calculate p(x). 3 Let p be (12/8)/(3/4). Let r be (2/(p/(-3)))/1. Let n(j) = 3*j**2 - 6*j - 6. Let a(o) = -7*o**2 + 13*o + 13. Let m(c) = -4*a(c) - 9*n(c). Calculate m(r). 5 Let u(i) = 3*i**2 + 5*i - 6. Let l(g) = 5*g**2 + 9*g - 11. Let o(v) = -4*l(v) + 7*u(v). Give o(4). 14 Let r(u) = -2*u + 4. Let h = 3 + -1. Let z be h/(-1) - (-1 - 6). Calculate r(z). -6 Suppose -5*f - 16 = 9. Let j(l) = -l**3 + 2*l**3 + l - 1 + 8*l**2 - 4*l**2 - 5*l. Calculate j(f). -6 Let a = 2 + 3. Let h(r) = -r + 2*r + a*r. Suppose -u - 2 = -3. Give h(u). 6 Let g(a) = a**2 + 6*a + 6. Let h be g(-4). Let w be (0 + 7/h)*2. Let o = w + 5. Let p(l) = -2*l**2 - l + 2. Determine p(o). -4 Let j be (1/2)/(1/(-2)). Let o = 0 - j. Let h(r) = -7*r**3 + 4*r**2 + r. Let i(k) = k**3 - k**2. Let m(d) = -h(d) - 5*i(d). Determine m(o). 2 Let z(l) = l**2 - 2*l - 1. Let h(s) = -2*s + 3*s + 3*s. Let r be h(1). Let v = r + -2. Give z(v). -1 Let k be (567/(-39))/(-3) - (-4)/26. Let g(w) be the third derivative of 0*w + 1/6*w**4 + 1/15*w**k - w**2 - 1/120*w**6 + 2/3*w**3 + 0. Determine g(5). -1 Let n = 0 - -6. Let p(x) = -x**3 + 6*x**2 + 2*x - 7. Calculate p(n). 5 Let r(i) = -3*i + 35. Let k(w) = w - 12. Let a(u) = -17*k(u) - 6*r(u). Calculate a(9). 3 Suppose 4*x - 5*p - 6 = x, -4*p = -x + 2. Suppose -2*a = -l + 4, -2*l - 12 = 5*a - x. Let o(m) = 2*m - 1 - 4*m - 7*m**2 + l. Give o(-1). -6 Let f(p) be the first derivative of -9*p**4/2 + 2*p**3/3 - p**2/2 + 15. Determine f(1). -17 Let p(c) = -8*c**3 + c**2 - 1. Suppose -70 = -9*w + 4*w. Let y = w + -13. Give p(y). -8 Let b(j) = 12*j - 55 + 51 - 2*j**3 + 7*j**2 + j**3. What is b(8)? 28 Let l(i) be the third derivative of i**4/24 + i**3/6 + 5*i**2. Let k(o) = -4*o - 3. Let n(p) = -k(p) - 6*l(p). Calculate n(-3). 3 Suppose -2*r + 1 + 3 = 0. Let u(p) = -4*p**2 + p + 1. What is u(r)? -13 Let x(p) = p - 66 - 66 + 134. Determine x(4). 6 Let u(p) = -3*p + 5. Let c(f) = -f + 2. Let t(r) = 6*c(r) - 3*u(r). Calculate t(7). 18 Let i(a) = -2*a - 2. Let s(j) = j + 1. Let r(f) = -6*i(f) - 13*s(f). Let b = -1 - -4. Give r(b). -4 Let r = 10 + -7. Let u(w) = r - 1 + w**3 - 5 + 4*w**2 + 3*w. Calculate u(-3). -3 Let j(w) = -2*w + 2. Let z = -1 + 4. Suppose z*l = 4*n, 1 = -0*l + 4*l - 5*n. Give j(l). -6 Let m be ((-12)/(-16))/(2/8). Let j(v) = 2*v - 4*v + 0*v + 3 - 3*v. Determine j(m). -12 Let j(u) be the first derivative of -7*u**3/3 + u - 14. Calculate j(-1). -6 Let g(a) = a**2 - 5*a + 5. Let p be (-36)/90 + (-54)/(-10). Determine g(p). 5 Let a(s) be the second derivative of -s**5/20 - s**4/2 - 7*s**3/6 + s**2/2 - 3*s. Calculate a(-5). 11 Let l(s) be the first derivative of -3*s**2/2 - s - 5. Calculate l(-4). 11 Suppose 0*c = c. Suppose c = -0*j - j - 8. Let y = -5 - j. Let h(v) = v**3 - 2*v**2 - 3*v. Determine h(y). 0 Let v(l) be the first derivative of l**2 + 9*l + 30. Give v(-6). -3 Let d(w) = w + 1. Let i = 63 + -64. Calculate d(i). 0 Let w(c) = c**3 + 3*c**2 - 2*c + 2. Let r(m) = -m**3 - 3*m**2 + 2*m - 1. Let p(d) = 4*r(d) + 3*w(d). Give p(-3). -4 Let l = 1 - -1. Let o(q) = -4*q + q + 4*q + 0*q**2 - l*q**2. Calculate o(1). -1 Let r(v) = -v + 1. Let b be (2 - 0)*(-5)/(-5). Suppose 0 = -5*p + z - 6*z + 20, 5*z - 5 = -2*p. Let s be (p - 0)*(-3 + b). What is r(s)? 6 Let m(d) = 4*d**3 + 5*d - 11. Let p(h) = 3*h**3 - h**2 + 4*h - 10. Let a(j) = 4*m(j) - 5*p(j). Let u be (-14)/(-168) + (-122)/24. What is a(u)? 6 Let g(f) = f - 2. Let s(w) = -1. Let h(n) = -2*g(n) + 3*s(n). Give h(6). -11 Suppose 4*t = -4*o, 4*o + 3*t - 2 + 0 = 0. Suppose -r - 9 = -2*z, -r + 3*z = o + 4. Let u = 11 + r. Let j(p) = -p + 2. Give j(u). 6 Let t = 0 - -4. Suppose 0 = z - t*z + 6. Let y(b) = b**3 - 1. Determine y(z). 7 Let x(s) = s**3 - 5*s**2 + 6*s - 4. Let a(n) = -n + 19. Let m be a(9). Suppose 0*l = 5*l - t + 48, -10 = 5*t. Let z be ((-12)/m)/(3/l). Determine x(z). 4 Let x(k) = -k**3 + 10*k**2 - 1. Let j be x(10). Let g be (-1)/(0 + j/23). Suppose -5*v + 2 = -g. Let p(m) = m - 3. What is p(v)? 2 Let z(h) = h**3 + 4*h**2 - 4*h - 3. Suppose -5 = 2*j + s + 5, -3*j + s = 15. Calculate z(j). -8 Let k(y) be the third derivative of -y**5/20 - y**4/8 - y**3/3 + 14*y**2. Determine k(-2). -8 Let p(q) = 4*q - 4 + 1 - 1 - 5*q. What is p(-10)? 6 Let q(z) = 3 + 2*z**2 - z**2 - 3 - 3 + 6*z. Calculate q(-7). 4 Let y = 48 + -55. Let o(s) = -s - 4. Determine o(y). 3 Let v = -11 - -5. Let f be -2 + v - 0/(-3). Let u = f + 9. Let g(i) = i**3 - i**2 - i + 1. Give g(u). 0 Let t(j) = 7*j**2 - 17*j + 15. Let a(f) = -3*f**2 + 8*f - 7. Let b(y) = -13*a(y) - 6*t(y). Give b(-2). -7 Let b(i) = -2*i - 3. Let v be b(-4). Let g(t) = 2*t - 4. Let x be g(v). Let y(w) = -5*w + 3*w + x + 3*w. Calculate y(0). 6 Let d(l) be the first derivative of -7*l**4/4 + l**3/3 + l**2/2 + l + 17. Let c(x) = -x**2 + 2*x - 1. Let f be c(2). Determine d(f). 8 Let f(x) = -x. Let t be (-4)/12 - (-10)/(-6). Let q = t - 3. Determine f(q). 5 Let x be -3 + 2/((-4)/(-2)). Suppose 0 - 8 = -4*j. Let o(a) = a - 3 + j + 3. What is o(x)? 0 Let q(l) = -l**2 - 628*l**3 - l + 609*l**3 - l**2. Calculate q(-1). 18 Let y(p) be the first derivative of -p**3/3 - 2*p - 2. Let h = -3 + 3. Suppose h = 3*n - n. Give y(n). -2 Let i = -109/3 + 38. Let s(p) be the first derivative of i*p**3 + 3*p + 0*p**2 - 3 + 1/4*p**4. Calculate s(-5). 3 Let j(g) = 11*g**3 - 14*g**2 + 5*g + 2. Let r(l) = 5*l**3 - 7*l**2 + 3*l + 1. Let w(u) = -4*j(u) + 9*r(u). Determine w(5). -14 Let o(h) = -h - 3. Let y be o(-5). Let v(g) = -2 + 0*g**2 + 6*g - g**y + 1 - 5. What is v(5)? -1 Let o(t) be the third derivative of t**6/120 + t**5/60 + t**4/24 + 5*t**3/6 - 14*t**2. Let p = 2 - 1. Let d = 1 - p. Determine o(d). 5 Let g(d) be the third derivative of d**5/60 + d**4/24 - d**3/3 - 8*d**2. Let z(v) = -v + 10. Let j be z(7). Suppose x - 2*x = h, j*h - 3*x + 18 = 0. Give g(h). 4 Let j(p) be the first derivative of p**3/3 + 3*p**2/2 + 3*p - 8. Determine j(-5). 13 Let b(v) = -3*v**3 - 13*v**2 + 13*v - 7. Let p(z) = z**3 + 4*z**2 - 4*z + 2. Let t(c) = 2*b(c) + 7*p(c). Give t(-3). -3 Let p(s) be the second derivative of -11/2*s**2 + 0 - 8*s - 1/6*s**3. Let m(i) = -i**2 + 2*i - 1. Let f be m(1). Calculate p(f). -11 Let m(n) = -4*n + 4. Let d(z) = -5*z + 5. Let h(x) = -3*d(x) + 4*m(x). Suppose g =
{ "pile_set_name": "DM Mathematics" }
m be y(d). Solve -m = -5*r - 27 for r. -4 Let v be 12 - (-4)/(16/12). Solve v = -k + 12 for k. -3 Suppose 0 = -140*r + 139*r. Solve -k - 4*k - 5 = r for k. -1 Suppose -20 = -5*k - 0. Let b be 3/3 - (-1 + 1). Let c be 9 - 5 - 2*b. Solve -k*l - c = 2 for l. -1 Suppose 0*i + 30 = i. Suppose 0*c - i = -3*c. Solve -4*b - c = -26 for b. 4 Suppose 4*r + 7 = 23. Suppose 2*h = -h - 12, -r = -2*u - h. Solve u*b - 12 = 4 for b. 4 Suppose -18 = 51*k - 57*k. Solve -16 = k*y - 7*y for y. 4 Suppose -3*w + 22 = w + 5*x, -4 = -4*w + 4*x. Solve -w*p = p for p. 0 Let m(l) be the third derivative of 0*l + 0 + 1/24*l**4 - 4*l**2 - 5/6*l**3. Let u be m(6). Solve 0 = d - 2*d + u for d. 1 Let d(g) = g + 21. Let r be d(-18). Solve -v - r*v - 4 = 0 for v. -1 Let o(w) be the third derivative of -w**5/60 - w**4/4 + w**3/3 + 3*w**2. Let b be o(-6). Solve -15 = 3*f + b*f for f. -3 Let s = 100 + -98. Solve -s*l - 2 = -6 for l. 2 Suppose 7*c + 5 = 8*c. Solve -c*q = -6 - 4 for q. 2 Suppose -6*w + 3*w = 0. Solve -5*y + 4*y + 4 = w for y. 4 Let y(z) = -z**3 - 8*z**2 + 5*z - 16. Let w be y(-9). Solve 2*m + 3*m = -w for m. -4 Let k(v) = -v + 2. Let m be k(5). Let j = 11 + m. Solve -d = -3*d - j for d. -4 Let o be (-1 - -24)/((-2)/(-4)). Let v be o/14 - (-4)/(-14). Solve -2 = -v*n + 1 for n. 1 Suppose -u - 3*i + 11 = -0*u, -7 = -5*u + i. Suppose u*m = m + 1. Let g = m - -3. Solve p = -g*p for p. 0 Let u(a) be the second derivative of -a**3/3 - 3*a**2/2 - 7*a. Let p be u(-3). Solve 1 = p*r + 16 for r. -5 Suppose 2*g - 12 = -d, 9 = 2*d - 2*g + g. Solve 0 = -3*u - 0 + d for u. 2 Suppose -30 - 26 = -4*a. Solve 10 = -4*f + a for f. 1 Let p = -9 - -13. Solve 5 = -3*n - p for n. -3 Let w be (-22)/(-6) - 4/6. Let u(f) = f. Let r be u(0). Suppose -5*a + 5*v + 30 = r, -5*a = v - 4*v - 28. Solve -w*m + 2 = a for m. -1 Let p be (-6)/(-18) + (-42)/(-9). Solve 2*c - p*c = -3 for c. 1 Suppose j - 5*b = 14, j - 3*b - 6 = -0*j. Let q(g) = -g - 4. Let s be q(j). Let f be (-2)/3 + (-4)/(-6). Solve f = -s*d + d - 3 for d. -3 Let y = 8 + -9. Let z = y - -4. Solve 0 = -z*c - c for c. 0 Let y(b) = -b**2 + 18*b + 22. Let v be y(19). Solve v*i - 4 = 2*i for i. 4 Let n = -16 + 15. Let h be (-3 - n)*6/(-4). Suppose 3*i + 2*c - 8 = 0, 0*i - 5*i + 5 = -5*c. Solve 5 = h*m - i*m for m. 5 Let i = 11 - 6. Solve 13 - 3 = i*d for d. 2 Let p(o) = o**2 - o**3 + 2 - 3 - o**3. Let h be p(-1). Let u = 9 + -4. Solve g = -h + u for g. 3 Let m(j) = 2*j**2 - 3*j + 4. Let b be m(1). Solve 3*p + 0 = -b for p. -1 Let q = -93 + 96. Solve -1 = q*g + 2 for g. -1 Suppose 0 = 3*w - 0 - 39. Suppose -m + 48 = 3*f, -w - 44 = -4*f + m. Solve -3*k = -0*k + f for k. -5 Let c(d) = -d**3 + 9*d**2 - 18*d - 10. Let i be c(5). Solve 3*z + z + 16 = i for z. -4 Suppose -3*c - 4*w = -53, 5*c - w + 5*w = 91. Suppose 5*u = -4*l + c, -11 = -3*u - 2*l - 0*l. Solve u*q + 2 - 8 = 0 for q. 2 Let o(t) be the third derivative of -t**7/120 + t**6/360 + t**3/2 + t**2. Let w(n) be the first derivative of o(n). Let f be w(-1). Solve 0*u = 2*u - f for u. 4 Suppose 0*n = n. Suppose -2*s + 16 = -n. Let q = -7 + s. Solve 5*u + 4 + q = 0 for u. -1 Let s be (0/(-1) - -3)/(6/4). Solve 0 = -s*y - 3 + 11 for y. 4 Suppose 0 = -y + 3*y + 3*b - 9, 4*b - 12 = 0. Let k be 1 - y*(-3)/(-6). Solve 2*d + 1 + k = 0 for d. -1 Let b(a) = -a**3 - 10*a**2 - 18*a + 24. Let y be b(-7). Suppose -133 = -5*h + 22. Let i = h + -19. Solve -i - y = -3*n for n. 5 Let h be (-4 - -2)/((-2)/5). Solve -h*t = -3*t for t. 0 Let l(o) = o**2 - 6*o - 5. Let z be l(8). Let h = z + -2. Let u = h - 5. Solve -u*p + 16 = -8*p for p. -4 Let x be ((-5)/(-2))/((-2)/4). Let n = -3 - x. Let v be ((-4)/3)/(n/(-3)). Solve 0 = -3*b + 4 + v for b. 2 Suppose p = g + 13, -2*p = 2*p - 5*g - 50. Solve -3*r = -6 + p for r. -3 Let c = -43 + 45. Solve -c*w + 2 = -w for w. 2 Let z = -2 + 0. Let h be (1 - 1)*z/2. Solve -2*u - u + 9 = h for u. 3 Suppose -32 = -5*k - 3*k. Solve -f - k*f = 0 for f. 0 Let w = -33 + 35. Solve -6 = -w*d - 0 for d. 3 Suppose 2*s + 3*a = -111, -4*a - 165 = 3*s + a. Let c be s/9 + (-1)/3. Let d = c - -7. Solve d = 3*x + 2*x - 5 for x. 1 Suppose -15 = 2*r + 3*x, -5*r - 50 = -3*r - 4*x. Let l = r + 21. Solve 0 = m - l*m - 20 for m. -4 Let u(w) = w - 2. Let z be u(4). Suppose -z*k + 44 - 4 = 0. Let g be (-86)/(-10) - (-8)/k. Solve -g - 11 = 4*a for a. -5 Suppose 6*x - 3*x = 0. Suppose -j - 4*j = x. Solve 5*g - 10 = -j*g for g. 2 Suppose -4*m = -3*y - 24, -8 = -4*m - 5*y + 4*y. Let a be ((-12)/9)/((-4)/18). Solve 0 = m*l - l - a for l. 3 Let w(t) = -t**2 + 10*t + 9. Let d be w(8). Let l = 35 - d. Solve -7*s = -2*s + l for s. -2 Let p be ((-4)/8)/(1/2). Let t be 5*p/(1 + -2). Solve -4*b - t - 7 = 0 for b. -3 Let c = 7 + -3. Let a be ((-11)/c)/(2/(-8)). Solve 4 = -3*g - a for g. -5 Let t(d) = -2*d**2 - 2*d + 1. Let c be t(2). Let l(u) = -u - 11. Let p be l(c). Suppose p = -2*g + g. Solve -6*z + z + 20 = g for z. 4 Let j be ((-3)/(-2))/(3/8). Let d(i) = j - 2*i**2 - 2 - 1 + 5*i**3. Let m be d(1). Solve -7*g - m = -3*g for g. -1 Suppose 0*g = 5*g + 10. Let n(p) = p**3 + p**2 - 2*p. Let d be n(g). Suppose k - 3*k = -s - 3, 2*s - 12 = -2*k. Solve -s*o + d*o = 0 for o. 0 Let r be 1 - 0 - (1 + 2). Let t = r - -7. Let n be 6/24 + 1/(-4). Solve n = t*l - 5 for l. 1 Let t(d) = 2*d**3 + 2*d**2 - 4*d**2 - 1 + 2*d + 7*d**3. Let h be t(1). Solve i + i = -h for i. -4 Suppose b - 4*x = -2*b + 5, 5*b - 5*x - 10 = 0. Solve b*g + 9 = 3 for g. -2 Let w = 3 + 0. Let f = -9 + w. Let i be 15/6 + 9/f. Solve -15 = 4*c + i for c. -4 Suppose -d = 4*d, 4*m + 3*d - 12 = 0. Let u be (-4 - -1)/(m/(-5)). Solve -u = 2*v + 5 for v. -5 Let i be (1 - 0)/((-1)/(-4)). Let h(s) = 3*s - 40. Let r be h(21). Suppose 3*y + r - i = v, -4*y = 5*v. Solve -l - v = -3*l for l. 2 Let w = -6 + 10. Suppose -37 - 39 = -w*y. Suppose 0 = 5*z - y - 1. Solve z*x = 2*x for x. 0 Let u be (1 - -25)/1 + -1. Let l be (-1)/(-4) - 92/(-16). Solve r - l*r = -u for r. 5 Suppose 2*m = -9*m + 11. Solve u - 3 = -m for u. 2 Let y = -4 - -6. Solve y*q = -q for q. 0 Let o(s) = 2*s - 5. Let l = -11 - -17. Let d be o(l). Solve d = z + 2 for z. 5 Let p(i) = -i**3 - i**2 + 5*i + 5. Let h be p(-2). Let g be (3/6)/(h/(-2)). Solve w + g = -4 for w. -5 Suppose -3 = 5*d - 33. Solve -d = -2*q - 0 for q. 3 Suppose -4*h + 3*h = 2*z - 7, 4*z - 5*h - 7 = 0. Solve a + 0*a - z = 0 for a. 3 Let d = 6 + -3. Let b be 0*1/3*d. Solve b = 4*p - 11 - 5 for p. 4 Let h(b) = b**3 + 5*b**2 + 3. Let z be h(-5). Solve -11*a + 10*a = -z for a. 3 Suppose 8 + 7 = 3*o. Suppose r - 10 - 8 = -3*a, 5*r = o*a + 50. Solve -c = 2*c + r for c. -4 Let j = -41 - -43. Solve -2*b + 0 = j for b. -1 Suppose 0 = 4*d + d + 25. Let z = 1 - d. Solve -m - m = -z for m. 3 Suppose 4*j = 6 + 10. Suppose -j*u - 12 = 0, -2*s - 4*u + 4 = -4. Solve q + q = -s for q. -5 Let n = 292 + -287. Suppose 19 = -5*z + 59. Let p be 1/4 + 54/z. Solve p - 27 = -n*m for m. 4 Suppose -3*p = -z + 11, 4*p = -0*z + z - 14. Solve z*l + 0 - 10 = 0 for l. 5 Let m be ((-63)/35)/(3/(-10)). Solve m*b - 3*b = 3 for b. 1 Suppose -3*w - 10 = -q - 5*w, 10 = -3*q + 4*w. Suppose -4*p - 12 = -0*b + q*b, 0 = -4*b - 2*p. Solve -b*j = -0 + 8 for j. -4 Let q be (-1)/((-9)/(-6)*(-4)/18). Solve c - 2 = q for c. 5 Suppose 3*i = 5*i - 12. Suppose 5*w - i - 4 = 0. Suppose w*u + 15 = 5*u. Solve -2*s = 3 + u for s. -4 Let t = -4 - -7. Let w(o) = 3*o**2 - 5*o + 4. Let q be w(t). Solve 3*n + q - 1 = 0 for n. -5 Suppose 5*n + 15 = 0, -5*g + n + 3 = -g. Solve 2*s = -g + 4 for s. 2 Let k = -2 + 2. Suppose 0 = -5*v + 3*v + 16. Solve k = i + i + v for i. -4 Suppose g - 17 = -2*g + l, -2*l = 3*g - 2. Suppose 14 = r - 4*n, 0 = 4*r - 9*r + g*n + 38. Solve -r*o + 3*o = 0 for o. 0 Let w(b) = b - 3. Let r be w(6). Suppose 0 = r*s + s - 8. Suppose 5*q + 2*f = 18, 0*q - 2*q = 3*f - 5. Solve -q = -s*a + 6 for a. 5 Let d(g) = g**3 - 7 - 2 - 12*g + 4*g - 9*g**2. Let b be d(10). Let t be (-3 - -2) + 1*b. Solve -t = 4*q - 2 for q. -2 Let r be (-1)/(-3) + 8/3. Suppose 3*s - r = 6. Suppose 5 + s = -2*v + 2*u, 4*v = 5*u - 20. Solve v = -3*t - 7 + 1 for t. -2 Suppose -a + 14 = 2*m, 5*m - 5*a - 1 - 4 = 0. Solve -2*z = -z - m for z. 5 Let z be (-2)/((2 - 3) + (-21)/(-24)). Solve o = -3*o + z for o. 4 Suppose 5 = 16*t - 27. Solve 0 = s - 1 - t for s. 3 Let c(i) = -i + 2. Suppose 3*t - 2 = 1
{ "pile_set_name": "DM Mathematics" }
12*b - 10 Find the third derivative of -682*t**3 - 530*t**2 - 6*t wrt t. -4092 Differentiate -2*k*n**2 + 2*k*n*u - 2*k - 55*n**2*u - 61*n**2 wrt u. 2*k*n - 55*n**2 Find the second derivative of -2*y**3 - 61*y**2 + 88*y + 2. -12*y - 122 What is the third derivative of -4*g**3*t**2 - 322*g**3*t*y + 9*g**2*t**2*y - 2*g**2*t + 3*t**2 + 2*y wrt g? -24*t**2 - 1932*t*y Differentiate -3*x**2*z**3 - 13*x**2*z**2 - 7*x**2*z - 4884*z**3 wrt x. -6*x*z**3 - 26*x*z**2 - 14*x*z Find the second derivative of -733*c**2 - 449*c + 1 wrt c. -1466 What is the first derivative of 43*o**3 - 2*o**2 - 497 wrt o? 129*o**2 - 4*o Find the third derivative of -18*a**5 - 11*a**3 + 867*a**2. -1080*a**2 - 66 Find the first derivative of 2*j**3*v*y**3 - 12*j**3*v + 11*j**3*y**3*z - j**2*v*y**3 + 9*j**2*v*y**2 - 74*v*z wrt z. 11*j**3*y**3 - 74*v Find the third derivative of -j**2*r**5 + 41*j**2*r**2 + 2*j*r - 459*r**4 wrt r. -60*j**2*r**2 - 11016*r Find the third derivative of -408*v**3 - 409*v**2 wrt v. -2448 Find the first derivative of -7*j**2*y**2 - 42*j*y**2 + 4*y**2 + 10 wrt j. -14*j*y**2 - 42*y**2 What is the second derivative of -3*l**5 - 3*l**2 + 213*l wrt l? -60*l**3 - 6 Find the second derivative of -3490*i**2 + 4919*i wrt i. -6980 Differentiate 13*g**2*p + 21*g**2*z - 3*g*p**2 - p**2*z wrt z. 21*g**2 - p**2 Find the third derivative of -25*m**5 + 4*m**3 - 713*m**2 wrt m. -1500*m**2 + 24 Find the second derivative of -2*b*q*z**4 - b*z + 12*b - 41*q*z**2 - 2*q*z + 3*q wrt z. -24*b*q*z**2 - 82*q Find the third derivative of -c**4 - 371*c**3 + 328*c**2 + 3. -24*c - 2226 Find the first derivative of 2105*s**3 - 4371 wrt s. 6315*s**2 Differentiate -6*d**4 - 2*d - 624 with respect to d. -24*d**3 - 2 What is the third derivative of -1213*c**6 - 24*c**2 + 6 wrt c? -145560*c**3 What is the second derivative of 3166*s**2 + 3015*s? 6332 Differentiate -152*d**3*o**3 + 78*d**3 - 11*d**2 + d - 4*o**2 wrt o. -456*d**3*o**2 - 8*o Differentiate 2*j*x**2 - 16*j - 226*x**4 + 3 with respect to x. 4*j*x - 904*x**3 What is the first derivative of 2*u**4 - 41*u + 689 wrt u? 8*u**3 - 41 What is the derivative of -160*x + 156 wrt x? -160 What is the derivative of -2*b*y**2 - 477*b + 697*y**2 wrt y? -4*b*y + 1394*y What is the second derivative of -11982*f**2 - 11*f - 414 wrt f? -23964 Find the third derivative of 2*g**3*j*v + g**3*j - 351*g**3 + 2*g**2*v - 2*g*j - 87*g + 4*j*v + v wrt g. 12*j*v + 6*j - 2106 What is the second derivative of -136*x**4 + 179*x? -1632*x**2 What is the third derivative of -u**6 - 648*u**5 - u**4 + 261*u**2 + 6? -120*u**3 - 38880*u**2 - 24*u What is the third derivative of 31*b**2*x**3 - 29*b**2*x**2 + 2*b*x**3 wrt x? 186*b**2 + 12*b What is the second derivative of 407*p**5 + 14*p**3 - 13*p + 614? 8140*p**3 + 84*p Differentiate 956*t**4 - 727. 3824*t**3 What is the second derivative of -3*a**3*z**3 - a**3*z + 5*a*z**3 + a*z + 3*a + 44*z**3 + 25*z wrt z? -18*a**3*z + 30*a*z + 264*z Find the third derivative of -1564*v**6 - 1443*v**2 wrt v. -187680*v**3 Differentiate 4*i**4 + 144*i - 3916 wrt i. 16*i**3 + 144 What is the first derivative of -70*d**2*g - 25360*d**2 + 14*d*g - 2*g wrt g? -70*d**2 + 14*d - 2 Find the third derivative of 2*c*s**4 - 42*c*s**2 + 2*s**4 + 108*s**3 + 2*s**2 wrt s. 48*c*s + 48*s + 648 Find the second derivative of 42*y**2*z**2 - 2*y**2*z - 66*y**2 - y*z**2 - 2*z wrt z. 84*y**2 - 2*y Differentiate 5*j**2*p - 2*j**2 - 3*j*p**4 - 17*j*p - 2*j + 5*p - 1155 wrt p. 5*j**2 - 12*j*p**3 - 17*j + 5 What is the third derivative of -5*p*q**4 - 10*p*q - 163*q**5 + 2*q**2 - 23 wrt q? -120*p*q - 9780*q**2 What is the derivative of 6*c*q**2 + 127*c*q + 6*q**2 - 43*q wrt c? 6*q**2 + 127*q What is the first derivative of 2*n**2*o**2 - 47*n**2*o*v - 23*n**2*v + 16*o**2*v - 203 wrt n? 4*n*o**2 - 94*n*o*v - 46*n*v What is the first derivative of i**2 - 756*i - 21483? 2*i - 756 What is the third derivative of -99*h**5 + 4*h**3*y**3 + 132*h**2*y**3 + h**2 wrt h? -5940*h**2 + 24*y**3 Differentiate 2*f**2*h**3*s - 2*f**2*h**3 + 4*f**2*h - 12*f**2*s - 215*f*h - 39*f*s with respect to s. 2*f**2*h**3 - 12*f**2 - 39*f Find the third derivative of 65*x**4 - 98*x**2 + 2. 1560*x What is the third derivative of -12*p*s**6 + 25*p*s**3 - 3*p*s**2 - 23*p*s + 2 wrt s? -1440*p*s**3 + 150*p What is the third derivative of -3*h*o**3 - 15*h + 5*o**5 + 10*o**4 + 10*o**2 wrt o? -18*h + 300*o**2 + 240*o Differentiate 4*i**2 - 30*i - 634 with respect to i. 8*i - 30 Find the third derivative of a**2*t**4 + 3*a**2*t**2 - 204*a*t**4 - 2*a*t - 26*t**2 wrt t. 24*a**2*t - 4896*a*t What is the second derivative of 14*h**3*v**4 + 4*h**3*v**3 - 417*h**3 - 3*h*v wrt v? 168*h**3*v**2 + 24*h**3*v Find the third derivative of -105*y**4 + y**3 + 24*y**2 + 204. -2520*y + 6 What is the derivative of 3508*m + 1619? 3508 Find the second derivative of -8*l**2 - 57*l - 2. -16 What is the first derivative of 833*x - 885 wrt x? 833 Find the second derivative of 330*i**2*v**2 + 187*i**2*v - 2*i**2 + 3*i*v**2 - 1 wrt v. 660*i**2 + 6*i Find the second derivative of n**3 + 118*n**2 + 99*n + 1. 6*n + 236 Differentiate -8*c*n*o**2*z + 93*c*n + c*o**2 - 367*c*o*z + 5*z wrt n. -8*c*o**2*z + 93*c Find the first derivative of 3474*v + 2060. 3474 Find the second derivative of 8031*o**5 - 72*o - 25 wrt o. 160620*o**3 What is the third derivative of -2*g**2*x**3 + 7*g**2*x**2 - 3*g*m*x**2 - 2*g*x**5 - 127*m*x**3 - 2*m*x**2 wrt x? -12*g**2 - 120*g*x**2 - 762*m What is the first derivative of 2*w*y + 30*w + 74*y + 1 wrt y? 2*w + 74 What is the third derivative of -22*g**3*h**3 - 6*g**3*h*s**3 + g**2*h + 5*h**3*s**3 + 16*h**2*s**3 - 2*h*s**3 wrt h? -132*g**3 + 30*s**3 Find the third derivative of o**5 - 1829*o**4 + 3*o**2 + 2*o + 36. 60*o**2 - 43896*o What is the third derivative of -9*d**5 - 2*d**2 + 2*d wrt d? -540*d**2 Find the second derivative of -2*p**5 - 157*p**3 + 3*p**2 - 4*p + 1342. -40*p**3 - 942*p + 6 What is the first derivative of 24*h**2 - 95*h - 17557 wrt h? 48*h - 95 What is the first derivative of -51*h**2*l**2 + 101*h**2 - 5*h*l**2 + 3 wrt l? -102*h**2*l - 10*h*l Find the first derivative of -154*a**3 + 79. -462*a**2 Find the third derivative of 2*f**5 - 354*f**4 - 101*f**2 - 15 wrt f. 120*f**2 - 8496*f What is the derivative of 588*p**2 - 14? 1176*p Find the third derivative of 3*b**3*d*n**2 + 25*b**3*d*n - b**3*n**3 - 2*b**2*d*n**2 + 5*b*d*n**3 - 2*n**3 wrt b. 18*d*n**2 + 150*d*n - 6*n**3 Differentiate 25*t**2 - 129*t + 580 with respect to t. 50*t - 129 Find the third derivative of -6416*d**6 - 81*d**2 - d + 2 wrt d. -769920*d**3 Find the first derivative of 4*h**3*t + 22869*h**3 + 268*h**2*t wrt t. 4*h**3 + 268*h**2 What is the derivative of -3*a*n*y + 75*a*y + 540*n - 6*y wrt n? -3*a*y + 540 Differentiate 2*b**2*k*r**2 - 8*b**2*k*r - 74*b**2 - 11*b*k - b*r**2 - 3 wrt k. 2*b**2*r**2 - 8*b**2*r - 11*b What is the third derivative of -28*d**2*o**4 + d**2*o**3 + d**2*o**2 - 2*d**2 - 3677*d*o**2 - 3*o**4 wrt o? -672*d**2*o + 6*d**2 - 72*o Find the second derivative of 44*r**4 + 7*r**3 - 671*r wrt r. 528*r**2 + 42*r Find the third derivative of -10*h**2*y*z**3 + 2*h**2*y - h**2*z + 11*h*y*z**4 + 71*h*z**2 wrt z. -60*h**2*y + 264*h*y*z What is the second derivative of -2*d**3*h**3 + d**3 - 8*d**2 - 14*d*h**5 + h wrt h? -12*d**3*h - 280*d*h**3 What is the third derivative of -40*b**3*l*s - 2*b**3*l + 16*b**2*l - b + 3*l + 2*s wrt b? -240*l*s - 12*l Find the third derivative of 132*d*m**3*z**3 + d*m**3*z - 4*d*m**2*z**3 + 2*d*m**2*z**2 + 11*d*z**3 wrt m. 792*d*z**3 + 6*d*z What is the third derivative of -247*y**6 - y**4 + 6*y**3 + 10669*y**2 - y? -29640*y**3 - 24*y + 36 What is the second derivative of 2*i**2*k**2*t - 2*i**2 - i*k**2*l**2 - 8*i*k**2*t + 2*i*k*l**2 + 2*i*k*t - 3*i*l*t + 11*k*l wrt k? 4*i**2*t - 2*i*l**2 - 16*i*t Differentiate 204*t**4 + 763 with respect to t. 816*t**3 What is the derivative of -163*g**2 + 258 wrt g? -326*g Find the third derivative of -4*a**2*h**5 - 28*a**2*h**3 - 513*a**2*h**2 wrt h. -240*a**2*h**2 - 168*a**2 What is the second derivative of -5503*k**5 + 4043*k? -110060*k**3 Differentiate -585*f*i + 1083*i with respect to f. -585*i What is the second derivative of 4537*c**2 + 4902*c? 9074 Find the third derivative of -32*l**3*z**3 - l**3 - l**2*z**3 + 2*l*z**3 - 16*l*
{ "pile_set_name": "DM Mathematics" }
termine s(-6). 11 Let z(l) be the first derivative of -2*l**3 + 1/4*l**4 + 7/2*l**2 - 3 - 5*l. Calculate z(5). 5 Let v(f) be the third derivative of f**5/60 + f**2. What is v(-1)? 1 Let m(f) = -5*f**2 - 7*f - 6. Let u(v) = -6*v**2 - 7*v - 6. Let g(n) = -5*m(n) + 4*u(n). Give g(-4). -6 Let m = 23/42 + -3/14. Let b(k) be the first derivative of 3*k + 5/2*k**2 + m*k**3 + 2. Give b(-3). -3 Let y(j) be the first derivative of -13*j**2/2 - j + 4. Let x(q) = q - 2. Let c be x(3). Give y(c). -14 Let m(p) = 9*p**2 - 9*p + 2. Let t(j) = 5*j**2 - 5*j + 1. Let z(s) = 6*m(s) - 11*t(s). Let u(a) be the first derivative of z(a). Calculate u(-2). 5 Let s be 4/10 - 448/70. Let j(a) = -4*a + 2*a - 2*a + 3*a. Calculate j(s). 6 Let v = -22 + 19. Let z(c) = 3*c - 2. Determine z(v). -11 Suppose 0 = -3*o + 6*o. Let n(x) = x + 2. Let k be n(o). Let u(m) = 2*m**k - 1 + m**2 + 6*m**3 + 2*m**2 - 3*m**2. Give u(-1). -5 Suppose q - 3*q + 5*p = -18, 2*p + 20 = 4*q. Let l(b) be the second derivative of -1/2*b**2 + 1/6*b**3 + 4*b + 0. Calculate l(q). 3 Let o(j) = -4*j**2 - 2*j**2 + 0*j - 3*j - j**3 + 4. Suppose -4*m - 20 = -0*m. Determine o(m). -6 Suppose 0 = -2*r + 5*r - 9. Suppose -12 = 3*t - 3*l, 0 = r*t + 2*t + 2*l + 6. Let o(j) = -2*j**2 - 2*j - 2. What is o(t)? -6 Let m(k) = -1. Let i(c) = -c + 5. Suppose -o - 4*u = -11, o - u = -0*o - 4. Let y(j) = o*i(j) - 5*m(j). What is y(-6)? -6 Let a(h) be the first derivative of -h**4/4 + h**3 - 2*h**2 - h + 47. Calculate a(3). -13 Let l(t) = t**2 + 5*t + 1. Suppose 3*y + 20 = 2. Let a = y + 0. Give l(a). 7 Let w(l) = -5*l + 1. Let g(u) = u. Let a(m) = g(m) + w(m). Determine a(-4). 17 Let b(p) = -1046*p + 2088*p - 1044*p - 2. Let d(s) = -s**3 - 6*s**2 - 5*s - 5. Let k be d(-5). Determine b(k). 8 Let w be 1/(-2) - 4*(-10)/(-16). Let p(n) = -2*n**2 - 4*n - 1. Calculate p(w). -7 Suppose 15 = -5*k, 2*n + 5*k - 2 = -13. Let j(u) = u**3 + 6*u**2 + 4*u - 4. Let b be j(-4). Let m be (-1)/(-2)*b/n. Let r(o) = 2*o**2 - 4*o - 1. Calculate r(m). 5 Let g(c) = c**3 - 8*c**2 + 7. Let n(f) = f**3 - f**2 - f + 8. Let v be n(0). Calculate g(v). 7 Let u(w) be the second derivative of -w**5/20 - w**4/4 + w**3 + 3*w**2 + w. Let a(d) = -d**2 - 3*d. Let o be a(1). Calculate u(o). -2 Let d = 16 - 9. Let o(u) = -4*u**2 - 5*u - 4. Suppose -g + f = 2 - 4, 5*g + 5*f = -30. Let p(z) = -z**2 - 2*z - 1. Let i(n) = d*p(n) + g*o(n). Give i(5). 6 Let a(k) = -k**2 - k. Let y = 16 + -10. Suppose 5*r + 28 = -t, -y*r = 3*t - r + 34. Determine a(t). -6 Let g(h) = -7*h - 3. Let j be g(-4). Suppose -4*t + 5*z + 31 = 0, 3*t - 3*z - j = -4. Let v(w) be the second derivative of -w**3/6 + w**2 - w. Give v(t). -2 Let i(v) = -v**3 + 6*v**2 - 4*v - 7. Let f be 1*8 + (-10)/5. Suppose -f*u = -2*u - 20. Calculate i(u). -2 Let t(a) = 2*a**2 + 5*a + 3. Let k(m) = m**2 + 1. Let o(u) = 3*k(u) - t(u). Determine o(4). -4 Let l(g) = g**2 - 3*g - 3. Suppose 4*f + 2*q + 3*q = 1, 0 = -5*f - 5*q + 5. What is l(f)? 1 Let d be (-2)/7 - 51/(-7). Let k(q) = 0*q + 18 - d*q**2 - 4*q - 10 - q**3. Calculate k(-6). -4 Let t(c) be the third derivative of -c**6/120 + c**5/30 - c**4/6 + c**3/3 - 46*c**2. What is t(2)? -6 Let j(n) = -n**3 + 2*n**2 + 4*n + 1. Let p be j(3). Suppose 2*r = -5*u + 6, 3*r - u + 10 = -r. Let l be p*1 + 0 + r. Let y(x) = -3*x - 2. Calculate y(l). -8 Let m(j) = 7*j**3 - 5*j**2 - 2*j + 1. Let v(p) = -3*p**3 + 2*p**2 + p. Let h = -1 + -4. Let d(q) = h*v(q) - 2*m(q). Calculate d(-2). -8 Suppose 2*d + 2*d + 5*a = -12, 5*d + 5*a + 20 = 0. Let r(g) = g**3 + 7*g**2 - 9*g - 4. Determine r(d). 4 Let c(y) = 7*y**2 + 5*y - 8. Let w(p) = -p**2 + 1. Let l(j) = -c(j) - 6*w(j). Calculate l(-7). -12 Let w(u) = -4 + u**2 + 6*u - 6*u + 6*u. Calculate w(-6). -4 Suppose -71*a + 20 = -76*a. Let b(m) = -m**2 - 4*m - 3. What is b(a)? -3 Let g(a) = -a**2 - 8*a - 6. Let w be g(-6). Let n(v) = 4*v - 7. What is n(w)? 17 Let h = -44 + 49. Let t(r) = -r**3 + 6*r**2 - 6*r + 6. Determine t(h). 1 Let h(s) be the third derivative of -s**4/8 + s**3/6 + 50*s**2. Suppose -u = -5*g + 2*g - 16, 0 = 4*u - 3*g - 28. Calculate h(u). -11 Let b(v) be the third derivative of 1/60*v**5 - 2*v**2 - 1/6*v**3 - 1/24*v**4 + 0*v + 0 + 1/40*v**6. What is b(-1)? -2 Let l(k) = 2*k. Let s be ((-15)/(-5))/(12/(-16)). Calculate l(s). -8 Let q be (18/(-24))/((-2)/(-40)). Let c = q + 10. Let w(i) = i**2 + 5*i + 4. Determine w(c). 4 Let p(a) be the first derivative of 7*a**2 - a - 13. Give p(-1). -15 Let j(s) be the first derivative of 4*s**3/3 - 3*s**2/2 + 1. Let d be -6*(-3)/(-3 + 9). Let a be 3*d/18*4. Give j(a). 10 Let u = 0 - -5. Let k be 4*1*u/20. Let s(z) = 5*z**3 + 2*z**2 - 2*z + 1. Let x be s(k). Let w(l) = l**2 - 6*l. What is w(x)? 0 Let n(h) = -h**3 - 6*h**2 - 4*h + 2. Let j be n(-5). Let c(b) = -6*b**2 - 7*b - 14. Let x(k) = 4 - 3 + 8 + 4*k**2 + 5*k. Let l(v) = -5*c(v) - 8*x(v). Give l(j). -5 Let d(q) = 13*q + 2. Let s be 4/(4/(-6)*(-2 + 5)). What is d(s)? -24 Let p(j) be the third derivative of j**4/3 + j**3/6 + 6*j**2. Give p(-1). -7 Let y(v) = -v + 7. Let n(q) = q**3 + 6*q**2 + 3*q - 4. Let a be n(-5). Let h be y(a). Suppose h = -5*f - 4. Let l(d) = d + 1. Calculate l(f). 0 Let u(c) = -c - 1. Let y be u(-1). Suppose y = n - 8. Let t(b) = -b + b**2 + 2*b - b - n. Calculate t(0). -8 Let m be 13/5 + (-6)/(-15). Suppose -4*b + 2*k - 24 = 0, 2*b - m*k + 26 = -2*b. Let j(y) = -4*y - 5 + y - 2 - 4*y - y**2. Determine j(b). 3 Let i(y) = -y**2 + 9*y - 5. Let d(o) = o**2 - 8*o + 5. Let h(v) = -3*d(v) - 2*i(v). Give h(4). 3 Let l(h) be the second derivative of h**4/12 - 7*h**3/6 + h**2 - h. Let i be ((-5)/10)/((-1)/12). Determine l(i). -4 Let a(k) be the second derivative of k**8/6720 + k**7/840 + k**6/360 + k**5/60 - k**4/4 + 2*k. Let d(l) be the third derivative of a(l). Calculate d(-3). -4 Suppose -5*w + 6 = -2*w. Let i be w/(0 - 0 - 1). Let m(l) = -3*l - 2. Calculate m(i). 4 Let l(t) = 9*t**2 + 11*t. Let u(r) = 5*r**2 + 5*r. Let c(z) = 6*l(z) - 13*u(z). Calculate c(-1). -12 Let v be (-10)/(-16)*-2*-4. Let h(t) = t**3 - 4*t**2 - 7*t + 4. What is h(v)? -6 Let i(s) = -2*s**3 - s**2 - s - 1. Let u be i(-1). Let y be (-1 - 0)/(1/(-2)). Let c be (4/y - 0)/u. Let a(m) = -2*m**3 + m**2 + m + 1. Calculate a(c). -9 Let w(r) = 2*r - 5. Suppose -h + 0 = -z + 6, -5*z + 22 = -h. What is w(z)? 3 Suppose 0 = 5*t - 3*t - 3*s + 11, 6 = 3*t + 3*s. Let i be 2 - -3*1/t. Let y(r) = -8*r**3 + r**2 - r - 1. What is y(i)? 9 Let c(u) = 12*u. Let j(r) = r**2 + 2*r - 1. Let a be j(0). Give c(a). -12 Let z = -2 - 0. Let v(d) = -d**2 - 10*d + 5. Let f be v(-10). Let s(a) = f*a - 2 - 9*a + a**3 - 1. Determine s(z). -3 Suppose -5*g = -5*a + 4 - 49, 3*g = 5*a + 35. Let y(i) = -3*i + 1. Calculate y(g). -14 Let j(a) be the third derivative of -a**5/60 - 5*a**4/24 + a**3/2 + 5*a**2. Let u(f) = -3*f**2 - f. Let d be u(1). What is j(d)? 7 Let w(p) = p**3 + 3*p**2 - 5*p - 4. Suppose 1 = v - 1. Suppose -v*r + r = 56. Let q be (-26)/7 + 16/r. Determine w(q). 0 Let g = 15 - 11. Let j(o) be the third derivative of -1/24*o**g + 1/60*o**5 + 0*o + 0 + 1/3*o**3 - 2*o**2. What is j(3)? 8 Let k be (-2 - -6) + (-4 - -2). Suppose -g - k = 4. Let z(l) = l**3 + 7*l**2 + 6*l + 2. Determine z(g). 2 Let v = -15 + 15. Let f(s) be the third derivative of v + s**2 + 1/20*s**5 + 1/24*s**4 + 0*s + 1/120*s**6 - 1/6*s**3. Calculate f(-2). 1 Let w(f) be the third derivative of -f**7/5040 + f**6/72 - f**5/60 + f**2. Let d(s) be the third derivative of w(s). Give d(5). 5 Suppose 3*r - 13 = d, 0 = -5*d + 2*r - 19 + 6. Let s(t) = 3*t**3 + t. Calculate s(d). -4 Let g(s) = s**2 - 5. Let c be g(0). Let j(u) = 7*u**2 + u**3 - 4 - 7*u + 0*u - 3*u**2 - 2. What is j(c)? 4 Let s = 4 + -2. Let n(m) = -6 - m**2 + 0*m**2 + 0 - 5*m + 0*m**s. Let o = -7 - -3. What is n(o)? -2 Let r(s) = s - 9. Suppose -5*z + 29 = 2*f + f, -3*z + 4*f = 0. Let u(q) = -q + 9. Let v(p) = z*r(p) + 5*u(p). Calculate v(5). 4 Let m(z) be the third derivative of z**4/24 + 5*z**3/6 + 8*z**2. Determine m(-4). 1 Let d(i) = -i**2 + 6*i - 3. Let w be d(5). Suppose 5*o = 11 - 1. Let n(a) = -w*a**o + 0*a - a - 3*a**2. What is n(-1)? -4 Let f(h) = h**2 - 5*h - 3. Let w(t) = t. Let b be w(6). Determine f(b). 3 Let o(s) = s**2 + 4*s - 4. Let h(d) = d**3 - d**2. Let w(l) = l - 3. Let b be w(4). Let q(v) = b*o(v) - h(v). Let p be (-2)/(-3)
{ "pile_set_name": "DM Mathematics" }
h, and 2 j? 1/65 Calculate prob of picking 2 p, 1 b, and 1 n when four letters picked without replacement from {b: 3, p: 5, n: 5, k: 2}. 10/91 Calculate prob of picking 2 s and 1 c when three letters picked without replacement from csccctcctscccttctttc. 11/1140 Three letters picked without replacement from {o: 1, i: 3, a: 10, c: 2, z: 3}. Give prob of picking 3 a. 40/323 Calculate prob of picking 4 z when four letters picked without replacement from zzzzzzvvzzv. 7/33 What is prob of picking 2 u when two letters picked without replacement from nnjnunjun? 1/36 What is prob of picking 2 e when two letters picked without replacement from {k: 5, e: 3}? 3/28 Three letters picked without replacement from {j: 6, d: 1, h: 1, x: 4, i: 4}. What is prob of picking 1 d and 2 x? 3/280 Three letters picked without replacement from {e: 1, j: 4, w: 6, t: 1, b: 2, i: 4}. Give prob of picking 1 e, 1 w, and 1 j. 1/34 Four letters picked without replacement from {u: 1, s: 2, d: 1, l: 3}. What is prob of picking 1 s and 3 d? 0 Calculate prob of picking 1 r, 1 t, and 1 i when three letters picked without replacement from qviirtrqiivkti. 5/91 Two letters picked without replacement from {w: 5, m: 5}. What is prob of picking 2 w? 2/9 Four letters picked without replacement from ydydyyydydyydy. Give prob of picking 1 d and 3 y. 60/143 Three letters picked without replacement from {r: 4, m: 1, q: 3, d: 3, i: 8}. What is prob of picking 1 d, 1 i, and 1 q? 24/323 Two letters picked without replacement from qqqqgqgqgg. Give prob of picking 2 g. 2/15 What is prob of picking 4 j when four letters picked without replacement from {w: 2, l: 1, d: 1, j: 5, p: 1, q: 3}? 1/143 Calculate prob of picking 3 q and 1 t when four letters picked without replacement from {q: 5, h: 7, p: 2, m: 1, t: 3}. 1/102 Four letters picked without replacement from qqcrccc. Give prob of picking 2 q and 2 c. 6/35 Calculate prob of picking 1 k and 2 f when three letters picked without replacement from fvtffaakfavvhfh. 2/91 Four letters picked without replacement from {k: 14, y: 4}. Give prob of picking 4 k. 1001/3060 Three letters picked without replacement from {c: 2, r: 2, w: 4, m: 3}. What is prob of picking 1 w and 2 r? 4/165 Calculate prob of picking 3 c when three letters picked without replacement from cczuucu. 1/35 Four letters picked without replacement from owrgrrwllrrlr. What is prob of picking 1 g, 1 o, and 2 w? 1/715 Three letters picked without replacement from idqggggkikkggidxd. What is prob of picking 1 i, 1 q, and 1 d? 9/680 Three letters picked without replacement from tjtjttjtttjjjtttttj. Give prob of picking 3 j. 35/969 What is prob of picking 1 v and 1 o when two letters picked without replacement from {v: 5, o: 9}? 45/91 Calculate prob of picking 3 x and 1 t when four letters picked without replacement from xxxxoooxxoxxoxtooox. 10/323 Calculate prob of picking 2 d when two letters picked without replacement from {x: 9, d: 5}. 10/91 Four letters picked without replacement from susuu. What is prob of picking 2 u and 2 s? 3/5 Two letters picked without replacement from iimzrwm. Give prob of picking 1 z and 1 m. 2/21 Two letters picked without replacement from rhcde. What is prob of picking 1 d and 1 e? 1/10 Calculate prob of picking 4 p when four letters picked without replacement from {p: 7, n: 9}. 1/52 Two letters picked without replacement from crcrccr. What is prob of picking 2 c? 2/7 Two letters picked without replacement from asotb. What is prob of picking 1 t and 1 s? 1/10 What is prob of picking 2 n when two letters picked without replacement from nnhh? 1/6 Three letters picked without replacement from {p: 4, x: 3, g: 7, h: 4}. Give prob of picking 2 p and 1 g. 7/136 Four letters picked without replacement from csuusscuuucccusu. Give prob of picking 1 c, 1 s, and 2 u. 3/13 What is prob of picking 1 a and 3 p when four letters picked without replacement from {a: 3, p: 4}? 12/35 What is prob of picking 4 y when four letters picked without replacement from {a: 6, y: 4, s: 1, r: 6}? 1/2380 Calculate prob of picking 2 k and 2 u when four letters picked without replacement from ukukukuuuuuuuuuu. 9/70 Three letters picked without replacement from {f: 2, u: 1, v: 1, s: 1}. What is prob of picking 1 s, 1 u, and 1 f? 1/5 Two letters picked without replacement from kkkzzzsskzqkkqq. What is prob of picking 2 k? 1/7 Four letters picked without replacement from {g: 6}. Give prob of picking 4 g. 1 Three letters picked without replacement from lllaeaaalallleaaal. Give prob of picking 1 e and 2 a. 7/102 Two letters picked without replacement from bbbqbbbq. Give prob of picking 1 q and 1 b. 3/7 Calculate prob of picking 3 n when three letters picked without replacement from ynnnnyny. 5/28 What is prob of picking 3 d when three letters picked without replacement from zud? 0 What is prob of picking 3 a when three letters picked without replacement from aaaaaaarraaaraa? 44/91 Calculate prob of picking 1 c, 1 o, and 1 q when three letters picked without replacement from uoqmqcgo. 1/14 What is prob of picking 1 g and 3 n when four letters picked without replacement from gnnngggg? 1/14 Three letters picked without replacement from jjjzzjzzjzjj. Give prob of picking 3 z. 1/22 What is prob of picking 1 k and 1 t when two letters picked without replacement from qefktkkke? 1/9 What is prob of picking 1 w and 1 e when two letters picked without replacement from {g: 1, a: 2, e: 3, w: 4, u: 4}? 12/91 Two letters picked without replacement from ttte. What is prob of picking 1 e and 1 t? 1/2 What is prob of picking 1 b and 1 v when two letters picked without replacement from ibbuivlhvibllu? 6/91 What is prob of picking 3 s when three letters picked without replacement from {s: 5, t: 3, k: 2, d: 5}? 2/91 Two letters picked without replacement from ovovvvvvvvv. Give prob of picking 1 v and 1 o. 18/55 Calculate prob of picking 1 c and 1 g when two letters picked without replacement from yccyccycycg. 6/55 Calculate prob of picking 2 c and 1 w when three letters picked without replacement from {z: 4, w: 3, r: 9, c: 2}. 1/272 Four letters picked without replacement from {a: 5, t: 11, f: 1}. What is prob of picking 2 a, 1 t, and 1 f? 11/238 Calculate prob of picking 3 y when three letters picked without replacement from yyyyzyyyyyzyyyyyyyy. 40/57 What is prob of picking 2 x when two letters picked without replacement from xxbff? 1/10 Calculate prob of picking 3 k when three letters picked without replacement from mzmkzddmzmzzzzz. 0 Calculate prob of picking 1 j, 1 p, 1 h, and 1 f when four letters picked without replacement from {f: 3, g: 4, j: 2, h: 9, p: 1}. 9/646 What is prob of picking 3 n and 1 b when four letters picked without replacement from bonnunuooueenoeone? 1/306 What is prob of picking 1 s and 1 k when two letters picked without replacement from ggksgiigj? 1/36 Three letters picked without replacement from xwxboxc. What is prob of picking 1 w, 1 x, and 1 o? 3/35 Three letters picked without replacement from iuitwzwwviizuwvzii. Give prob of picking 2 u and 1 z. 1/272 Three letters picked without replacement from hrryrhrreirhy. Give prob of picking 1 e, 1 h, and 1 r. 9/143 What is prob of picking 2 n when two letters picked without replacement from hhvhhzgghddnhndhngh? 1/57 Four letters picked without replacement from {t: 10}. Give prob of picking 4 t. 1 What is prob of picking 1 b, 1 r, and 1 o when three letters picked without replacement from gohgbgrhgb? 1/60 What is prob of picking 1 v and 3 n when four letters picked without replacement from vnvvnvnnnvnnn? 56/143 Four letters picked without replacement from ppppppfpppffppp. Give prob of picking 2 p and 2 f. 66/455 Two letters picked without replacement from {t: 5, y: 12, k: 1, s: 1}. Give prob of picking 1 k and 1 t. 5/171 Four letters picked without replacement from zyyhjjzjjzyhj. Give prob of picking 1 z and 3 y. 3/715 Calculate prob of picking 3 u and 1 t when four letters picked without replacement from {u: 15, t: 4}. 455/969 Four letters picked without replacement from {o: 1, p: 3, b: 2, f: 3, c: 1}. What is prob of picking 1 o, 1 p, 1 b, and 1 f? 3/35 Two letters picked without replacement from {o: 2, s: 1, y: 4, x: 2, i: 1}. Give prob of
{ "pile_set_name": "DM Mathematics" }
es q = 0? False Let d = 20.1 + -20. Which is smaller: d or -25? -25 Suppose x + 0*x = -p + 3, 3*p = 3*x + 3. Is x != 2/41? True Let j = -3 - -2.8. Let h = 0.3 + j. Let a be (-4)/(-6) + 8*2/(-36). Is h not equal to a? True Let j = -80 - -19. Let p = j + 36. Is 1 at least p? True Suppose 2*t + f - 3 = 0, 2*t - f - 17 = -t. Suppose 5*j + 6*g + 22 = 3*g, -4 = -t*j + 3*g. Let q = 73 - 221/3. Is j at least q? False Suppose 6*v - 4*v = -4. Let n be (v + 3)/(0 + -1). Is -4/7 bigger than n? True Suppose 4*y - 11 - 27 = 2*v, 0 = 2*y - 5*v - 31. Suppose -5*o - 16 = -51. Which is greater: o or y? y Let a = -0.4 + 0.4. Let g = a + -0.2. Let c = 11 + -9. Which is bigger: g or c? c Let l(z) = z - 12. Let w = 35 + -25. Let s be l(w). Let r be 1/2*0 - 2. Is r bigger than s? False Suppose 5*m + 14 + 11 = 0. Which is smaller: m or -4? m Suppose 0 = -g + 5, 0 = t + 2*g + 2*g - 19. Which is bigger: t or 0? 0 Suppose 8 = f - 2*w + 25, -5*f = 3*w + 111. Are -21 and f nonequal? False Let y = -0.07 + 0.29. Let h = y + -0.14. Is -0.1 greater than or equal to h? False Let v = -86.8 - -87. Is -0.18 < v? True Let r = 4.01 + -4. Let k = r - 0.01. Which is smaller: -0.1 or k? -0.1 Let i = 12 - 11.76. Let g = -2.06 - -2. Let b = i - g. Which is smaller: b or -1/2? -1/2 Let i be (1 - 0)/(5/25). Suppose -2*m = -i*m. Suppose -2*d + 4*d - 4 = m. Is 0 <= d? True Suppose 2 + 13 = q. Let y be 30/9*(-18)/q. Is -2 less than y? False Let i = -16.88 + 0.68. Let z = -16 - i. Is 5/6 at most z? False Let z = 0.08 + -0.08. Let r = z - 3. Which is smaller: 2 or r? r Suppose v - 3 = 1. Let u be 9/v + 4/(-2). Is -1 > u? False Let c = -14 - -11. Is -0.04 bigger than c? True Suppose b - 5*y = -133, 2*b = -0*y + 3*y - 238. Is -114 not equal to b? True Let p = -0.2 - -0.2. Let k = -32.1 - -32. Let o = p - k. Which is smaller: o or -0.5? -0.5 Let b be (-26)/(-30) - 6/(-45). Which is smaller: b or -1/64? -1/64 Let w = -9 + 11. Suppose -2*h = 3*g - 13, w*h = 3*g + 2*g - 27. Suppose 0 = m + 3*i - 2, 2*i + 2 + 8 = g*m. Is m greater than or equal to -0.2? True Let c = -2 + 2.2. Let v = 0.2 - c. Let i = v + 0.1. Do i and 1 have the same value? False Let o = -24 - -15. Let f = o - -6. Suppose b + b = -2. Is f > b? False Suppose -3*s + 12 = -3*w, -2*w + 4*w = 5*s - 11. Let j(b) = b**2 + 8*b + 8. Let z be j(-6). Are z and w non-equal? True Let b = 5 - 5.4. Let i = 91.9 - 88. Let m = -4 + i. Is b >= m? False Let l(b) = b + 3. Let v be l(-2). Suppose v = u + 4. Is u > -7/4? False Let o = 0.83 - -0.17. Which is bigger: -120 or o? o Suppose -28 = -6*p + 8. Is 7 at least as big as p? True Let w be (-1)/(-1 + (-1)/(-2)). Suppose -q + 2*q = 0, -g = -w*q + 2. Is -1/2 < g? False Let a be 1 + (0/3)/1. Let x = -0.01 + -0.39. Is a at most as big as x? False Let c = -4093/1026088 - -4/1757. Let p = c + -4663/5256. Which is smaller: p or -1? -1 Let s be (-4 + 5)*1*-9. Let b(r) = r + 6. Let h be b(-5). Let z be 2/s - h/9. Which is bigger: -2/5 or z? z Let f(j) = j**3 - 5*j**2 + 5*j - 3. Let o be (1/2)/(1/8). Let p be f(o). Is 4/9 smaller than p? True Let h = 463/260 + -2/65. Let q = 0 + 4. Suppose q*j = -1 + 5. Which is greater: h or j? h Let l(q) = q**3 - 5*q**2 + 5*q + 1. Let t be l(4). Which is bigger: t or 0? t Let p = 7753/3 + -2528. Let k = -57 + p. Which is smaller: 5 or k? k Suppose o - 8 = -14. Is -27/5 != o? True Let x = 30 + -27. Are x and 0.5 non-equal? True Let w(g) = -g**2 + 5*g - 1. Let i be w(4). Let j(r) = 4*r - 97. Let o be j(24). Which is smaller: o or i? o Let m = -4.1 - -0.1. Let s = -2 - m. Let q = 0.1 - -0.9. Which is smaller: s or q? q Let i = 2 - 5. Which is greater: 0.06 or i? 0.06 Let v = 0.04 + 0.16. Let r = -2 - -1. Is v >= r? True Let i = 1.37 + -0.07. Let c = 0.9 - -0.1. Let l = c - i. Which is greater: l or -1/4? -1/4 Let m be (3 - 2) + 3 + -2. Let z be (m - 1) + 1092/(-1026). Let k = z + -3/19. Is 1 at least k? True Let s = 20 + -20. Let a be 1 + (2 - 2) + 2. Suppose i - 2*g - 7 + a = s, 0 = 4*i + g + 2. Which is smaller: i or 2/15? i Let f = 2 + -5. Let q = -0.31 - -0.01. Let d = q + 0.2. Which is smaller: d or f? f Let u be (0 - -1) + 21/(-1). Let a be (-48)/u - (-2)/(-5). Suppose -12 = a*l - 4. Is -5 at least as big as l? False Suppose 12 = 3*f + 3. Suppose -3*m + 6 - f = 0. Let n = m + -5. Is n bigger than -4? False Suppose -61 - 35 = -6*u. Is u greater than 16? False Let q = -7 - -7. Suppose q = 2*o - 4*o. Which is smaller: -2/3 or o? -2/3 Suppose -5 = -4*k - 1. Let s be 2/(-6)*(-12 - -3). Suppose 0 + s = 3*x. Are x and k equal? True Let u = 2/23367 - -46060/7874679. Let v = -1338/1685 - u. Which is smaller: -1 or v? -1 Let h = -17 - -2. Let k be 3/h*-1*2. Let w = 101/5 + -20. Is w equal to k? False Suppose 0 = 4*o - 14 - 6. Suppose 0 = -o*n + 4*b + 32, 4*n = 2*b + b + 25. Which is smaller: 5 or n? n Let u = 38.6 + -25.78. Let p = 13 - u. Let h = p + 0.02. Is h equal to 1/3? False Let z(s) = -s**2 + 6*s - 2. Let y be z(6). Let a = 2 + -5. Do a and y have different values? True Let j = -0.1 - -0.13. Let b = -3.3 + 2.3. Is b smaller than j? True Suppose -2*n = -5 + 13. Let w(i) = i - 4. Let m be w(9). Suppose 2*c = -m*j + 5, 0 = -4*c + j + 3*j - 32. Is n <= c? False Suppose -4*c = -20, -3*c - 10 = 4*w - 33. Let s be 14/10 - 4/10. Let l be ((-9)/(-6))/(s/2). Which is smaller: l or w? w Let w(d) = 4*d**2 + d - 1. Let r be w(1). Suppose 5*m = -j + 9, 25 - r = m + 5*j. Suppose 0 = -4*p + 21 - m. Which is bigger: 9/2 or p? p Let c = -29/12 + 107/36. Is 2 at least c? True Let r be ((-1)/((-3)/12))/2. Suppose 2 + 2 = r*y. Suppose -y*u = -5*u. Which is greater: -1 or u? u Suppose 0 = -6*z + z. Suppose -2*w + 3*f + 14 = -3, z = -3*w - 5*f - 22. Is 2 equal to w? False Let s = 4 - 6. Suppose -10 - 10 = -2*o + 5*u, 0 = -5*o - 4*u - 16. Let w = -2 + o. Is s at least w? True Let t = 0.8 + -1. Let g = -5 - -4.2. Let j = 0.2 - g. Which is greater: t or j? j Let m(a) = -a**3 - a**2 - a + 2. Let v = 6 + -3. Let t = -3 + v. Let z be m(t). Which is bigger: z or 4? 4 Let d = -10 + 10. Let j = -10 - -4. Let q = j - -4. Which is bigger: d or q? d Suppose -4*r + 17 = -3. Let s be 105/25 + (-1)/r. Suppose s + 4 = -4*u - 4*y, -4*y = -3*u - 13. Is u < -2? True Let c be (14/3)/((-4)/(-18)*3). Which is smaller: c or 8? c Let g be 5/(-15) + 113/(-3). Let q = -189/5 - g. Which is greater: q or 0? q Let m be ((-6)/(-8) + 0)*60/(-75). Which is smaller: m or -0.5? m Suppose -4*f + 0*f + 8 = 0. Suppose 0*n = -f*n. Let r be ((-2)/(-3))/(22/(-33)). Is n less than or equal to r? False Let n = -54 + 78. Is n greater than or equal to 23? True Let h(b) = b**3 + 6*b**2 - 7*b - 4. Let w be h(-7). Suppose 5 = -5*c - 3*o - 2, -4*o = c + 15. Let y = c + w. Which is bigger: y or -2? -2 Let n be (-8)/4 - 31242/(-90). Let k = -253 + -92. Let z = k + n. Which is smaller: -1 or z? -1 Let n(i) = 7*i**3 - 13*i**2 + 21*i + 5. Let s(j) = -4*j**3 + 6*j**2 - 11*j - 3. Let v(c) = 3*n(c) + 5*s(c). Let x be v(8). Which is greater: x or 1/28? 1/28 Let u = -1 + -3. Let l(w) = w + 4. Let z be l(u). Suppose 0 = -7*o + 3*o - 4*t - 20, 4*t + 20 = 5*o. Do z and o have the same value? True Let k = -91 - -44. Which is smaller: -48 or k? -48 Suppose -11*w + 6*w + 10 = 0. Which is smaller: 5/6 or w? 5/6 Let p be 10 + -8 + (-12)/(12/3). Let a = -7.06 - -7. Which is smaller: p or a? p Suppose -26*b = -27*b + 12. Is b != 13? True Let w = -1657187022/995 + 1665515. Let x = -1/199 + w. Which is bigger: -2 or x? x Let l be (2/(-5))/((-5)/(-550)). Let o = 85/2 + l. Are -1 and o equal? False Let j be (-174)/(-2) - 1 - 1. Suppose -5*a - 185 = j. Let n = a - -490/9. Which is bigger: 0 or n? n Let p = -15 + 9. Let f be (5/(-15))/((-1)/p). Is f less than -1? True Let q = -9 + 9. Is 4/3 >= q? True Let j be (-6)/(-10) - 154/(-35). Is j at least as big as 2? True Suppose -4*k = -18 + 6. Suppose -6 = -3*c, 0 = k*j + 3*c + c + 16. Is -9 greater than or equal to j? False Let o(m) = -m - 2. Let t be o(-6). Suppose t*w + 9 = -3*f, 6*f - 3*f + 5*w + 12 = 0. Suppose 0*r = 4*r - 12. Which is smaller: f or r? f Let d be 3 + (0 - 3) + -1. Which is smaller: d or -3/7? d Let v(b) = -b**3 - 33*b**2 - 31*b + 38. Let a be v(-32). Let h be 2/(-4) + (-25)/(-10). Let f = 0 + h. Are f and a non-equal? True Let j = 1/43 - -41/86. Let r be ((-2)/2)/(3/(-3)). Let z be ((0/r)/2)/(-1). Ar
{ "pile_set_name": "DM Mathematics" }
kh. 3/110 What is prob of picking 1 l and 1 q when two letters picked without replacement from {j: 1, g: 2, m: 2, o: 2, q: 1, l: 4}? 2/33 Calculate prob of picking 1 v and 1 j when two letters picked without replacement from {y: 1, v: 14, j: 1, o: 2, e: 1}. 14/171 Three letters picked without replacement from {o: 1, x: 2, n: 3, m: 2, p: 3, f: 1}. What is prob of picking 1 x and 2 m? 1/110 Three letters picked without replacement from {n: 11, q: 2}. What is prob of picking 3 n? 15/26 Two letters picked without replacement from mmmmvmmlmvmmvmm. Give prob of picking 1 l and 1 v. 1/35 What is prob of picking 1 b and 1 p when two letters picked without replacement from vbpb? 1/3 Calculate prob of picking 2 f when two letters picked without replacement from ffbvfvvvffvbvffv. 7/40 Two letters picked without replacement from nhhxfnnnnfxfcnfh. What is prob of picking 1 x and 1 n? 1/10 Calculate prob of picking 3 r and 1 d when four letters picked without replacement from {r: 5, d: 1, t: 7}. 2/143 Calculate prob of picking 2 p when two letters picked without replacement from jawajanwawapjuwpauwa. 1/190 Calculate prob of picking 2 s and 1 q when three letters picked without replacement from qsssssqsssq. 28/55 Two letters picked without replacement from {r: 2, x: 1, u: 2, l: 1, c: 2, o: 1}. What is prob of picking 1 x and 1 r? 1/18 Four letters picked without replacement from yywwy. What is prob of picking 3 y and 1 w? 2/5 Three letters picked without replacement from {f: 1, x: 1, q: 8, z: 3, b: 4}. What is prob of picking 1 q, 1 b, and 1 f? 4/85 Four letters picked without replacement from {q: 1, u: 6, d: 1, a: 1, t: 5, s: 2}. What is prob of picking 2 t and 2 u? 15/182 What is prob of picking 2 p when two letters picked without replacement from ppbppbpppbpp? 6/11 Calculate prob of picking 1 l, 1 r, and 1 y when three letters picked without replacement from lbrrrrryybbblblsbb. 5/136 Calculate prob of picking 2 i when two letters picked without replacement from {i: 5, z: 11}. 1/12 Four letters picked without replacement from qqttq. What is prob of picking 3 q and 1 t? 2/5 Calculate prob of picking 2 h when two letters picked without replacement from {h: 5, i: 3, e: 2}. 2/9 Three letters picked without replacement from mnnusksu. What is prob of picking 3 u? 0 Three letters picked without replacement from {n: 13, z: 6}. Give prob of picking 3 n. 286/969 Two letters picked without replacement from {m: 1, f: 1, q: 2, i: 2, j: 1}. What is prob of picking 1 j and 1 i? 2/21 Two letters picked without replacement from {t: 3, i: 4, j: 9}. What is prob of picking 2 t? 1/40 What is prob of picking 2 j when two letters picked without replacement from {j: 5, g: 2, l: 5, t: 3}? 2/21 Calculate prob of picking 1 x, 1 k, 1 v, and 1 c when four letters picked without replacement from kjxvkcj. 2/35 Two letters picked without replacement from effzefeszzeed. What is prob of picking 2 e? 5/39 Three letters picked without replacement from vlzevwwvvl. Give prob of picking 2 l and 1 e. 1/120 Calculate prob of picking 2 m and 1 x when three letters picked without replacement from myyssuuyyxsysssssm. 1/816 Two letters picked without replacement from {w: 11, p: 7, i: 1}. What is prob of picking 1 w and 1 i? 11/171 Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {w: 9, i: 10}. 10/19 What is prob of picking 1 x, 2 z, and 1 u when four letters picked without replacement from zhuzhxzz? 3/35 Two letters picked without replacement from bbiibbibsibbb. What is prob of picking 2 i? 1/13 Four letters picked without replacement from {a: 6, b: 1, q: 1, e: 1, v: 6}. Give prob of picking 1 v, 1 e, 1 a, and 1 q. 12/455 What is prob of picking 2 a, 1 h, and 1 g when four letters picked without replacement from aahhzagahahaa? 84/715 Three letters picked without replacement from cqcccqc. Give prob of picking 2 q and 1 c. 1/7 Calculate prob of picking 2 t when two letters picked without replacement from {i: 1, p: 1, t: 2, v: 1}. 1/10 Calculate prob of picking 3 b when three letters picked without replacement from {r: 1, e: 5, b: 3, p: 4}. 1/286 Two letters picked without replacement from {w: 1, b: 3, d: 3, y: 1, j: 7, s: 3}. Give prob of picking 2 d. 1/51 Two letters picked without replacement from {q: 2, w: 2, e: 1, u: 1}. Give prob of picking 1 q and 1 u. 2/15 Calculate prob of picking 3 h when three letters picked without replacement from {v: 1, h: 4, b: 3}. 1/14 What is prob of picking 2 c when two letters picked without replacement from {c: 4, q: 6}? 2/15 What is prob of picking 1 x and 2 p when three letters picked without replacement from xxxxxxppxp? 7/40 Calculate prob of picking 4 u when four letters picked without replacement from uuuu. 1 Calculate prob of picking 2 g and 2 s when four letters picked without replacement from gggsgsggg. 1/6 Calculate prob of picking 2 u when two letters picked without replacement from {m: 2, u: 16}. 40/51 What is prob of picking 1 d, 1 y, and 2 n when four letters picked without replacement from {d: 1, q: 3, e: 3, n: 3, y: 7, x: 1}? 7/1020 Four letters picked without replacement from fzfzzfzfffzfzz. Give prob of picking 4 z. 5/143 Calculate prob of picking 2 f and 1 t when three letters picked without replacement from {e: 2, p: 4, f: 4, t: 2}. 3/55 Two letters picked without replacement from iiyyiyiiiyi. What is prob of picking 1 i and 1 y? 28/55 Three letters picked without replacement from {l: 2, s: 12, w: 3}. What is prob of picking 1 s, 1 l, and 1 w? 9/85 Two letters picked without replacement from kkokoookkook. What is prob of picking 2 k? 5/22 Calculate prob of picking 1 v, 1 f, and 1 q when three letters picked without replacement from {a: 1, q: 1, v: 1, k: 1, f: 1}. 1/10 Four letters picked without replacement from fmrwmwfrmmff. What is prob of picking 1 m, 1 w, and 2 r? 8/495 Four letters picked without replacement from eeeeeeeee. What is prob of picking 4 e? 1 Two letters picked without replacement from {c: 4}. Give prob of picking 2 c. 1 Calculate prob of picking 2 a when two letters picked without replacement from aaavavvvva. 2/9 Calculate prob of picking 1 p, 1 u, and 2 n when four letters picked without replacement from ppoupnpnpup. 2/55 What is prob of picking 1 v and 2 d when three letters picked without replacement from gdaafdadfdvgv? 6/143 Calculate prob of picking 1 d, 1 u, and 1 g when three letters picked without replacement from gdutb. 1/10 Calculate prob of picking 1 f, 1 k, and 1 e when three letters picked without replacement from wwwwwwfffkweffww. 1/112 Three letters picked without replacement from {m: 2, n: 4, t: 3, q: 2, y: 2, r: 3}. What is prob of picking 1 y and 2 r? 3/280 What is prob of picking 1 w and 1 e when two letters picked without replacement from {z: 2, j: 2, t: 4, y: 2, e: 1, w: 4}? 4/105 Two letters picked without replacement from {s: 3, f: 4}. What is prob of picking 1 f and 1 s? 4/7 Three letters picked without replacement from ffwjmjfmwjftwwv. Give prob of picking 2 m and 1 t. 1/455 Four letters picked without replacement from gclhlchlcgl. Give prob of picking 1 h, 1 c, and 2 l. 6/55 Calculate prob of picking 1 w, 2 e, and 1 h when four letters picked without replacement from whewdwbhweewdwb. 12/455 Three letters picked without replacement from {y: 3, o: 3, u: 2, b: 12}. What is prob of picking 1 u and 2 b? 11/95 What is prob of picking 2 e and 1 j when three letters picked without replacement from cctetbtoeej? 1/55 Three letters picked without replacement from {g: 3, m: 2, b: 4, n: 1, h: 1}. What is prob of picking 1 n, 1 g, and 1 h? 1/55 Calculate prob of picking 2 n and 1 c when three letters picked without replacement from {n: 4, r: 4, c: 11}. 22/323 What is prob of picking 1 p, 1 n, and 1 i when three letters picked without replacement from ndpiindidi? 1/15 What is prob of picking 4 m when four letters picked without replacement from {o: 14, m: 4}? 1/3060 Two letters picked without replacement from llcwwgcllwlllllg. What is prob of picking 1 g and 1 l? 3/20 Calculate prob of picking 4 y when four letters picked without replacement from yyyyyyyyyy. 1 What is prob of picking 1 u and 1 i when two letters picked without replacement from uuhihihhuiihh? 2/13 What is prob
{ "pile_set_name": "DM Mathematics" }
vative of n(l) wrt l? 168*l + 60 Let q(i) = 26*i**5 + 18*i**2 + 21*i - 14. Let p(d) = 14*d**5 + 9*d**2 + 11*d - 7. Let o(l) = 11*p(l) - 6*q(l). Find the second derivative of o(c) wrt c. -40*c**3 - 18 Let s(z) be the first derivative of -6*z**5/5 + 69*z**4/4 + z**2/2 - 95*z - 267. Find the second derivative of s(a) wrt a. -72*a**2 + 414*a Let p = -2223/5 + 446. Let d(q) be the first derivative of -q**3 + 0*q - p*q**5 + 0*q**2 - 5 + 0*q**4. Find the third derivative of d(j) wrt j. -168*j Let g be (3/5)/(5/(-25)). Let j(a) = a**2 + 3*a + 2. Let p be j(g). What is the derivative of -2 + 2 + 4*q - p + 0*q wrt q? 4 Let o = -1 + 1. Let x be (11 - 10) + (5 - o). What is the derivative of -3*z + x*z + z - 8 + 2 wrt z? 4 Find the second derivative of -3*a**3 + 85*a**2 + 6*a**3 + 3*a**3 - 2*a + 20 + 17*a**2 - 7*a**3 wrt a. -6*a + 204 Let o(q) = -86*q**4 + 12*q**3 + 6*q**2 + 53*q - 6. Let w(u) = -2*u**3 - u**2 + 1. Let n(s) = -o(s) - 6*w(s). What is the second derivative of n(p) wrt p? 1032*p**2 What is the third derivative of 9*x**2 - 15*x**2 + 104*x**3 - 3 - 3 - 573*x**3 - 211*x**3 wrt x? -4080 Find the second derivative of -3*r**2 + 27*r**2 - 12*r**2 + 262*r**3 - r - 12*r**2 - 139 wrt r. 1572*r Let i(g) be the third derivative of 109*g**6/30 - g**5/30 + 347*g**4/24 - 2*g**2 - 17. Find the second derivative of i(o) wrt o. 2616*o - 4 What is the second derivative of 8*d - 14*d - 2*d + 58*d**4 + 6*d - 1 wrt d? 696*d**2 Find the first derivative of -1319*w + 134*w**2 + 1319*w + 101 wrt w. 268*w Suppose -3*y = 4*y - 140. Find the third derivative of 35*n**2 - 3*n + 3*n - 36*n**2 - y*n**4 wrt n. -480*n Let g(b) be the third derivative of 74*b**7/105 - 5*b**4/24 - 2*b**3/3 + 239*b**2. Find the second derivative of g(x) wrt x. 1776*x**2 Let a(i) be the first derivative of 3*i**3 + 10*i**2 - 15*i - 25. Let z(u) be the first derivative of a(u). What is the first derivative of z(f) wrt f? 18 Let t(a) be the first derivative of 8*a**6 + 15*a**2/2 - 5. What is the second derivative of t(v) wrt v? 960*v**3 Let k(x) = x**3 - x**2 - x + 2. Let q be k(2). What is the second derivative of 4*u**2 - q*u**2 - 8*u + 7*u**2 + 2*u**2 wrt u? 18 Suppose -5*m = -5*q, -m = 4 - 6. Find the second derivative of 73*p**2 + 73*p**2 - 138*p**q - 31*p wrt p. 16 Let c(i) be the first derivative of -487*i**5/5 + 55*i**3 + i**2/2 - 309. Find the third derivative of c(f) wrt f. -11688*f Suppose -2*a = -5*h + 2, a - 3 = 1. Find the second derivative of 6*c - 8*c**4 - 3*c**4 + 4*c**4 + h*c wrt c. -84*c**2 Let q(m) be the second derivative of -m**8/42 - 2*m**5/15 + 4*m**2 + 15*m. Let u(d) be the first derivative of q(d). Find the third derivative of u(f) wrt f. -480*f**2 Let t(l) = l**3 + 10*l**2 - l - 5. Suppose 1 = -i - 9. Let x be t(i). Find the second derivative of -3*m**5 + 10*m - x*m + m**5 + 5*m**5 wrt m. 60*m**3 Let t(c) = c**2 - 3*c - 1. Let j(x) = 79*x**3 + 2*x**2 + 18*x + 5. Let p(h) = j(h) + 6*t(h). What is the third derivative of p(z) wrt z? 474 Let h(t) = t + 1. Let r be h(12). Suppose 3*d + 7 = r. Differentiate 8 + 3*b**2 - 3*b**d - 4 + b**2 with respect to b. 2*b Let w(j) be the second derivative of j + 0 - 1/21*j**7 + 0*j**3 + 0*j**6 + 0*j**2 + 0*j**5 - 1/4*j**4. What is the third derivative of w(t) wrt t? -120*t**2 Let x(t) = 50*t + 3. Let i(o) = 25*o + 2. Let g(v) = -5*i(v) + 2*x(v). Differentiate g(w) with respect to w. -25 Find the third derivative of 468*r**3 + 0*r + 18 - r - 18 - 76*r**2 - 182*r**2 wrt r. 2808 Let b = 685 - 685. Let i(n) be the second derivative of -5/2*n**2 + 0 - 7*n + b*n**3 + 0*n**4 + 1/10*n**5. Differentiate i(k) with respect to k. 6*k**2 Let s = 37 + -23. Let h = s + -10. Find the second derivative of h*z + 2*z**2 - 3*z**2 + z**4 + z**2 wrt z. 12*z**2 Find the second derivative of 88*q**4 - 396*q + 333*q**4 + 442*q wrt q. 5052*q**2 Let h be (4 - 3)/(2/4). What is the second derivative of -12*g**h + 17*g + g - 4*g wrt g? -24 Let x = 12 - -2. Let z be 3/(3 + x/(-5)). What is the second derivative of 0*d - d - 19*d**3 + 3*d + z*d**3 wrt d? -24*d Let x(l) be the third derivative of 0*l**3 + 13/24*l**4 + 0*l**5 - 1/20*l**6 + 12*l**2 + 0*l + 0. What is the second derivative of x(u) wrt u? -36*u Let g(s) be the first derivative of s**6/2 - 10*s**2 - s - 51. Find the second derivative of g(b) wrt b. 60*b**3 Let j be -4*(-2 - (-15)/12). Differentiate -11*x**4 - 3*x**4 + j - 5 wrt x. -56*x**3 Let j(n) be the third derivative of 11*n**6/30 - n**5/12 + n**4/8 - 121*n**2. What is the third derivative of j(h) wrt h? 264 Let g(h) be the second derivative of h**8/8 - 9*h**7/14 - 269*h**4/12 - 38*h. Find the third derivative of g(n) wrt n. 840*n**3 - 1620*n**2 Suppose -176 = 11*a - 550. Find the third derivative of -34 - a + 13*x**3 - 23*x**2 + 68 wrt x. 78 Let i(y) be the first derivative of -y**4/4 - 7*y**3/3 - 4*y**2 - 8*y + 105. What is the second derivative of i(d) wrt d? -6*d - 14 Let b(t) = 19*t**4 - 16*t + 116. Let g(m) = -9*m**4 + 9*m - 58. Let z(j) = -3*b(j) - 5*g(j). Find the second derivative of z(l) wrt l. -144*l**2 Let h be 9*(0 - 15/(-9)). Let v be (-2 + (-12)/(-5))*h. Find the second derivative of -v*x**4 + 3*x - 11*x + 2 - 2 wrt x. -72*x**2 What is the second derivative of -2*q**4 + 2*q**4 + q**4 + 26*q**5 - 147*q**5 + 124*q - 2*q**4 wrt q? -2420*q**3 - 12*q**2 Suppose o + 4 = 7. Differentiate 17 - 3*q + 0*q**4 - 3*q**4 + o*q wrt q. -12*q**3 What is the third derivative of 2*x**2 - 9*x**5 + 6*x**5 + 32*x - 27*x + 6*x**6 wrt x? 720*x**3 - 180*x**2 Let s(o) = -o**3 - 5*o**2 - o - 1. Let h be s(-5). Suppose -2*c - h*a + 36 = 0, -58 = -5*c + a - 3*a. What is the derivative of 2*v - c*v + 2 + 3*v wrt v? -5 Find the first derivative of 104*g**4 + 112*g + 5 + 35*g**4 - 110*g + 100 wrt g. 556*g**3 + 2 Let t(f) = -4*f**2 - 2*f - 7. Suppose 6*g + 4 - 16 = 0. Let s(w) = -w**2 - w. Let r(m) = g*s(m) - t(m). Differentiate r(j) with respect to j. 4*j Let z(i) = -2*i**3 - 19*i**2 + 37. Suppose -3*w = -4*w - 2. Let m(y) = -2*y**3 - 20*y**2 + 37. Let h(v) = w*m(v) + 3*z(v). What is the derivative of h(p) wrt p? -6*p**2 - 34*p What is the second derivative of b + 35 + b - 4*b + b + 49*b**4 wrt b? 588*b**2 Let t(a) be the first derivative of 173*a**4/4 - 21*a**2 + 5*a - 86. What is the second derivative of t(o) wrt o? 1038*o Let w(g) = -g**3 - 4*g**2 - 4*g + 1. Let o be w(-3). Let s be 4/5 + 48/40. What is the derivative of s + 0 + 4*q**4 + 2*q**o - 10 wrt q? 24*q**3 Suppose 3*a - 3 = 21. Let m = a + -5. What is the second derivative of -4*q**3 - m*q + 5*q - 15*q wrt q? -24*q Let a be ((-2)/2)/((-11)/(-22)). Let b be 0 + a - (-3 - 2). Differentiate s**3 + 8 - 2*s**b - 6 + 5*s**3 with respect to s. 12*s**2 Suppose 0 = 5*f - f - 16. What is the second derivative of -g + f*g**2 + 2*g**2 - 6*g wrt g? 12 Let n(j) = 19*j**3 - 5*j**2 + 42*j - 6. Let p(z) = 18*z**3 - 4*z**2 + 41*z - 4. Let a(b) = -2*n(b) + 3*p(b). Find the third derivative of a(d) wrt d. 96 Let q = 26 - 24. What is the third derivative of -4*v + 8*v - q*v**6 + 4*v**2 - 4*v wrt v? -240*v**3 Let g(y) be the second derivative of -142*y**6/15 - y**4/12 + 527*y**2/2 + 502*y. Differentiate g(l) wrt l. -1136*l**3 - 2*l Let q(h) be the third derivative of h**8/16 + 43*h**5/60 - h**4/24 - 69*h**2. Find the third derivative of q(k) wrt k. 1260*k**2 Let n = 1 - -1. Let s be ((-10)/45)/((-2)/(-3))*-6. Find the second derivative of f**4 + f - n*f**2 + f**4 + 2*f**s wrt f. 24*f**2 Let h(x) be the second derivative of -261*x**5/20 - 211*x**2/2 + 16*x. Find the first derivative of h(t) wrt t. -783*t**2 Let l(g) = -g**2 + 9*g - 2. Let x be l(8). Let h be ((-2)/(-4))/(1/x). Differentiate 0 + h*v**4 + 10 + 3 - 5 wrt v. 12*v**3 Find the third derivative of 18*k**4 + 67*k**2 + 2055*k**3 - 49*k**4 - 2056*k**3 wrt k. -744*k - 6 Let j(z) be the third derivative of 0*z + 0*z**6 - 1/3*z**4 + 0*z**5 - 4/35*z**7 + 0 + 0*z**3 - 21*z**2. What is the second derivative of j(b) wrt b? -288*b**2 Find the second derivative of -50*u - 129*u**3 + 21*u**3 - 95*u wrt u. -648*u Let v(o) be the third derivative of -o**7/315 - 7*o**5/60 - 5*o**4/24 + 10*o**2. Let n(m) be the second derivative of v(m). Differentiate n(a) wrt a. -16*a Find the second derivative of 3428*w - 26*w**4 + 4*w**2 - 5*w**2 - 3736*w wrt w. -312*w**2 - 2 Let w(g) be the thi
{ "pile_set_name": "DM Mathematics" }
c. 72564*c**2 Suppose -4*p = -3*f - 448, 470 = 3*p + 4*f + 159. Let l = p - 107. What is the third derivative of 10*b**6 + 4 - 10*b**l - 4 - 5*b**2 wrt b? 1200*b**3 What is the derivative of 127*f**2 - 6199 + 7*f**3 - 147*f + 112*f**2 - 242*f**2 wrt f? 21*f**2 - 6*f - 147 Find the third derivative of 28*y + 576*y**2 - 1658*y**3 - 2 + 2007*y**3 - 598*y**2 wrt y. 2094 Let v(x) be the first derivative of 0*x**5 - 4/3*x**6 + 0*x**2 + 0*x + 0*x**4 - 49 + 8/3*x**3. What is the third derivative of v(y) wrt y? -480*y**2 Let i(n) be the second derivative of -n**6/15 + 364*n**5/5 - 5*n**4/12 - 14*n**2 - 2788*n. What is the third derivative of i(f) wrt f? -48*f + 8736 What is the first derivative of -113*d**4 - 3*d - 123*d**4 - 81*d**4 - 1760 + 355*d**4 wrt d? 152*d**3 - 3 Let r(w) be the first derivative of -3406*w**2 + 6951*w + 6858. Differentiate r(l) wrt l. -6812 Suppose -1794 = 109*c - 132*c. Differentiate -166*d**2 + 194*d**2 - 5*d**3 + 4*d**3 - c with respect to d. -3*d**2 + 56*d Let l = 222 + -220. What is the derivative of -2*b**l - 22*b**2 - 77*b**2 - 111 wrt b? -202*b Let n(u) = -2951*u**2 - 33*u - 139. Let y(j) = 4428*j**2 + 47*j + 208. Let c(d) = 7*n(d) + 5*y(d). Find the second derivative of c(i) wrt i. 2966 Let u be (60/24)/(10/24). Find the third derivative of -113*o**2 + 50*o**2 + 45*o**u - 1 + 1 wrt o. 5400*o**3 Let f(d) be the first derivative of 58 + 0*d**2 - 49/4*d**4 + 5/3*d**3 - d. Find the third derivative of f(n) wrt n. -294 What is the first derivative of -560 - 281 - 463 - 2433*g + 2925 wrt g? -2433 What is the third derivative of -3*u**3 - 5503*u**4 - 1166*u**2 - 1000*u + 1168*u**2 + 3*u**3 wrt u? -132072*u Let o(s) be the first derivative of -5085*s**4/4 + 3236*s**3/3 + 3541. Find the third derivative of o(d) wrt d. -30510 Let r(m) be the third derivative of -37/70*m**7 + 185/6*m**3 + 0*m + 0*m**5 + 0*m**6 - 5*m**2 + 0 + 0*m**4. What is the first derivative of r(f) wrt f? -444*f**3 Let p(f) be the second derivative of -481*f**5/5 - 899*f**4/12 + 1150*f. Find the third derivative of p(o) wrt o. -11544 Let s(j) be the second derivative of 843*j**8/56 - j**5/20 + 187*j**4/12 - j**3 - 4017*j. Find the third derivative of s(t) wrt t. 101160*t**3 - 6 Find the first derivative of 2455*n**2 + 2445*n**2 + 2486 + 47*n - 4859*n**2 wrt n. 82*n + 47 Let t = 417 - 315. What is the derivative of -201 + 85 + 76 - 282*o**2 + t wrt o? -564*o Let v(k) be the first derivative of 550*k**3/3 - 639*k**2/2 - 1554. Find the second derivative of v(i) wrt i. 1100 Differentiate -688*j**4 + 173*j**4 + 4364 - 1120*j**4 with respect to j. -6540*j**3 Let j(k) = -k**2 + 16*k + 20. Let s be j(17). Suppose -s*y + 5*x + 149 + 27 = 0, -x - 1 = 0. What is the derivative of y + 10*o + 10*o - 36 - 28 wrt o? 20 Let y(n) = n**2 - 9*n + 2. Let v(c) = -c**2 + 2*c + 9. Let w be v(0). Let s be y(w). Find the third derivative of 0*k**s + 247*k**4 - 2*k**2 - 264*k**4 wrt k. -408*k Let u(h) be the first derivative of -1766*h**4 - 1610*h + 1299. What is the first derivative of u(i) wrt i? -21192*i**2 Let z be 464/76 + (-36)/(-19) + -2. Let s be 4/(((-3)/(-3))/1). What is the first derivative of 26 + 15*g**s + 2*g**4 + z*g**4 wrt g? 92*g**3 Differentiate 410*f**2 + 753 + 1655 + 292*f**2 with respect to f. 1404*f Suppose -3*u = 5*q - 209 - 93, -2*u + q + 184 = 0. Find the third derivative of 0*x - 209 + 209 - 130*x**3 + 2*x + u*x**2 wrt x. -780 Let s be ((0*2/6)/(-1))/(-1). Suppose -5*x = g - 5, g + s*g - 41 = 4*x. Find the second derivative of 26*c - 39*c**5 + 26*c - g*c wrt c. -780*c**3 Differentiate 901*r**2 - 265 - 2*r**4 - 2*r**4 + 3*r**4 - 103*r**2 wrt r. -4*r**3 + 1596*r Let m(d) be the first derivative of -23/5*d**5 + 0*d**2 + 62 + 48*d + 0*d**4 + 0*d**3. Differentiate m(j) with respect to j. -92*j**3 Let y(w) = -3*w + 27. Let u be y(7). Let p be (-57)/(-171) - ((-104)/u)/2. What is the third derivative of 9 - 13 + p*x**3 + 4 - 15*x**2 wrt x? 54 Suppose 12 = 10*q - 7*q. Suppose -q*t = 28 - 12, -3*t = -u + 17. Find the second derivative of -u*w**2 + 35*w - 9 + 26 - 17 wrt w. -10 Let a(g) be the third derivative of -2*g**2 + 0*g**3 - 1/30*g**7 + 0*g**6 - 35*g + 43/12*g**4 + 0 + 1/20*g**5. Find the second derivative of a(o) wrt o. -84*o**2 + 6 Let c = 1689 - 1689. Let b(y) be the second derivative of 9*y**2 + 0*y**3 - 1/6*y**6 + 0 + 0*y**5 + c*y**4 - 9*y. What is the first derivative of b(h) wrt h? -20*h**3 Suppose 0 = 4*y - 2*d + 166, -y + 11 = -3*d + 50. Let x = 75 + y. What is the third derivative of -12*m**2 - x - 2*m**5 + 33 wrt m? -120*m**2 Let m(g) be the third derivative of 207*g**2 + 1/12*g**4 + 1/2*g**3 + 0*g + 0 - 49/12*g**5. What is the second derivative of m(r) wrt r? -490 What is the first derivative of 97 + 358 - 115 - 513*z**3 - 171*z**3 + 0*z**3 wrt z? -2052*z**2 Let c(v) be the third derivative of 0*v**6 - 29*v**2 + 0*v**3 + 5/8*v**4 + 0 + 1/210*v**7 + 0*v + 1/30*v**5. Find the third derivative of c(a) wrt a. 24*a Let h(l) = 1132*l**2 + 1268*l - 9. Let f(d) = d**2 + 3. Let t(b) = 3*f(b) + h(b). Find the second derivative of t(k) wrt k. 2270 Let g(t) be the second derivative of -1/2*t**2 + 1/42*t**7 + 0*t**3 - 27*t - 3/10*t**5 + t**4 + 0*t**6 - 4. What is the third derivative of g(m) wrt m? 60*m**2 - 36 Differentiate -706*t - 705*t - 705*t + 699*t**2 + 741 + 2116*t wrt t. 1398*t Let r = -27490 - -27497. Let b(a) be the first derivative of -9/5*a**5 + 0*a**3 + 0*a + 31 + 0*a**4 - r*a**2. What is the second derivative of b(h) wrt h? -108*h**2 Suppose s + 0*s - 4 = 0. Suppose -909 = -2*r - 3*m, 1285 = 4*r - 3*m - 542. What is the second derivative of -7*w**5 + 15*w + 456*w**s - r*w**4 wrt w? -140*w**3 Let h(r) = -139*r**2 - 3*r - 449. Let l(b) = 555*b**2 + 11*b + 1795. Let u(w) = -11*h(w) - 3*l(w). Differentiate u(q) with respect to q. -272*q Let k(v) = 12*v**3 + 73*v**2 - 211*v + 9. Let g(i) = 25*i**3 + 145*i**2 - 421*i + 19. Let p(z) = 5*g(z) - 11*k(z). Find the second derivative of p(j) wrt j. -42*j - 156 Let v(w) = 1157*w + 442. Let g(z) = -1542*z - 589. Let d(b) = -8*g(b) - 11*v(b). Find the first derivative of d(c) wrt c. -391 Let t(b) = 1520*b + 806. Let r(s) = 1014*s + 538. Let p(y) = -7*r(y) + 5*t(y). Find the first derivative of p(m) wrt m. 502 Let q(f) = -f**3 - 31*f**2 + 32*f + 4. Let s be q(-32). What is the second derivative of -32*d**s - 21*d**2 + 82*d + 8*d**4 + 3*d**5 + 24*d**4 wrt d? 60*d**3 - 42 Let c(t) be the first derivative of 17*t**7/420 + 29*t**4/24 - 44*t**3/3 - 58. Let w(x) be the third derivative of c(x). What is the derivative of w(a) wrt a? 102*a**2 Let t = -201 - -277. Find the second derivative of 7*y + 2*y**2 + 76*y**4 - 147*y**4 + t*y**4 + 30*y wrt y. 60*y**2 + 4 Let g(p) be the second derivative of 5857*p**6/30 + 599*p**3/3 + p**2/2 - 6135*p. What is the second derivative of g(l) wrt l? 70284*l**2 Let v(x) = -x**3 + 13*x**2 - 4*x + 115. Let m be v(12). Suppose -4*k = t + k - 27, 26 = 3*t + 4*k. Differentiate 0*d + 221 - 2*d - t*d - m wrt d. -4 Let y(w) be the third derivative of 0 + 1/6*w**4 + 1/2*w**3 - 1/15*w**5 + 0*w - 153*w**2 - 5/24*w**6. Find the second derivative of y(n) wrt n. -150*n - 8 Find the second derivative of 1288*a + 2059*a**3 - 333*a + 151*a wrt a. 12354*a Suppose 24 = -8*p - 104. Let i be (-1 - p)*(-3)/(-15). Find the first derivative of 5*h + i - 3 + 8 + 9*h wrt h. 14 Let f = 3626 + -3623. Let x(y) be the first derivative of 0*y**f + 0*y - 1/2*y**2 + 13/4*y**4 - 18. What is the second derivative of x(w) wrt w? 78*w Let q(x) = -2476*x**2 + 17*x + 20. Let l(w) = 12380*w**2 - 85*w - 116. Let u(c) = 2*l(c) + 11*q(c). What is the second derivative of u(y) wrt y? -4952 Suppose -11 = -19*b + 27. Differentiate 8*f - 14*f**2 - 2*f + 5*f**b - 7*f - 109 with respect to f. -18*f - 1 Let b = -150 - -152. What is the third derivative of -70*d**3 + 30*d**b - 71*d**2 + 32*d**2 wrt d? -420 Let a = -650 + 784. Find the second derivative of -2*i + 119 - 238 - 4*i + a - 154*i**2 wrt i. -308 Let n(i) be the second derivative of i**7/105 - 5*i**6/24 + 46*i**3/3 - 75*i**2/2 + 52*i. Let d(k) be the first derivative of n(k). Differentiate d(u) wrt u. 8*u**3 - 75*u**2 Suppose 12*a = 16*a + 12. Let c be a/54*-4 + 187/9. What is the derivative of c + 3*n - 5 - 8 + 21 wrt n? 3 What is the derivative of -1865 - 183 - 168 - 6823*
{ "pile_set_name": "DM Mathematics" }
p. -1 Let l(b) = -11*b + 66. Suppose 53*d - 44*d = 54. Let j be l(d). Solve 2*q + j = 6 for q. 3 Let k = 4602 - 4394. Solve 36 = -k*m + 199*m for m. -4 Suppose -46 = -5*q - 21. Suppose 0 = q*a - 44 + 24. Solve -a = g - 1 for g. -3 Let q be -53 - -77 - 1*-1. Suppose 10 = -3*i + 2*f, -i + 6*f - f - q = 0. Solve i = -8*u + 3*u - 25 for u. -5 Let y be (-38)/(-2) - 45*(-5)/45. Solve 0 = -89*k + 81*k + y for k. 3 Suppose 2*x - 11 = u, 2*u - 23 = -x + 6*u. Suppose -x*w = 2*w - 4*d + 6, -w = 5*d - 22. Suppose 7*k - 80 = w*k. Solve 0 = -3*j - j - k for j. -4 Let u be (-174)/(-203)*5/(-10)*-182. Solve -u*g = -84*g - 42 for g. -7 Let y = 4253 - 4245. Solve 16 = y*d - 12*d for d. -4 Let l = -17951 - -18005. Solve l*c - 53*c + 3 = 0 for c. -3 Suppose 667*h - 656*h - 11 = 0. Solve -5*l = 6 - h for l. -1 Let i be 0 + 15/10 - (-1)/2. Let s(p) = -10*p**3 - 15*p + 13*p + 9*p**3 - 8*p**i - 11. Let o be s(-8). Solve 0 = x - 6*x + o for x. 1 Let z(d) = -3*d**2 - 129*d + 563. Let f be z(-46). Solve 6 = f*r - 152*r for r. -2 Let v be -3 + 2 + -8 + 6. Let i be (-61)/(18/v - -5). Suppose 69 = 2*d + i. Solve b - 20 = -d*b for b. 4 Suppose -321 - 444 = -9*i. Suppose 98*a - i*a = 26. Solve 0 = -g - 3 + a for g. -1 Suppose -3*g = 3*r + 3, -19*r + 16*r = 6. Let f be (14/(-14))/(0 - g). Solve 2*p + 9 = f for p. -4 Let l(t) = t**3 - t**2 - 7*t + 8. Let a be l(0). Suppose -a*o - 5 = -9*o. Solve -2*d - 3 = -o for d. 1 Let b be (6/(-9))/((-6)/45). Suppose -w + 68 - 17 = b*i, -20 = -4*i. Suppose 2*o - o = -5*z - 4, -5*o + w = 2*z. Solve -22 = 4*n - o for n. -4 Suppose 142*m = 125*m + 9962. Solve 585*o = m*o - 3 for o. 3 Let i(y) = y**2 + 30*y - 66. Let p(k) = -k**2 - 30*k + 68. Let d(q) = 5*i(q) + 4*p(q). Let m be d(-32). Solve l + m = -l for l. -3 Let c(o) = -430*o - 400. Let y be c(-1). Solve 0 = 46*q - y - 200 for q. 5 Let v = -282 - -287. Suppose p - 5*o + o = 3, -15 = -v*p - o. Solve p + 57 = 12*c for c. 5 Let k(l) be the second derivative of -l**3/6 - 13*l**2 - 8*l + 3. Let j be k(-30). Solve 5*s = -j + 9 for s. 1 Let n be -3*(-1)/(3/38). Let h be ((3 + 1)/(-4))/(31/(-1302)). Let z = h - n. Solve z + 2 = 2*u for u. 3 Let d = -508 + 562. Suppose d*i + 72 = 72*i. Solve -3*b - i*b = 21 for b. -3 Let i = -194 + 182. Let v(q) = -5*q - 56. Let x be v(i). Solve -11*z + 7*z = x for z. -1 Let y = 8 - 5. Let a(k) be the first derivative of -k**4/2 + 8*k**3/3 - 3*k**2/2 + 4*k + 417. Let j be a(y). Solve -j = 5*l + 7 for l. -4 Suppose 3*i + 4*m = 13, -13*i + 24 = -9*i + 4*m. Solve x + i = 11 for x. 0 Let o(y) = y**2 - 10. Let c be o(4). Let w be c - (10 - 4)/(-3). Suppose 2*s = 4*s - w. Solve s*j - 11 - 5 = 0 for j. 4 Let a = -32 - -57. Suppose 5*n - 4*v - 32 = 0, 4 = 4*n - 0*n + 4*v. Suppose -20 = -n*l - j, -2*j - j + 16 = l. Solve 0 = l*o + o - a for o. 5 Suppose 5*b - 10 = -p + 6*p, 4*b = -p - 2. Let m be (-7)/((p - 2 - -3)/1). Solve 3*u + m = -2 for u. -3 Let q = 127 + 51. Let u = -175 + q. Solve -u*b + 0 = 3 for b. -1 Suppose b - 5*y = 149, 511 = 4*b - 5*y - 145. Solve -b*o = -171*o + 6 for o. 3 Suppose -140*u - 8150 + 8430 = 0. Let l(r) be the third derivative of -r**4/24 + r**3/3 + 2*r**2. Let k be l(2). Solve k = p + 6 - u for p. -4 Suppose 4*o - 20 = 0, 453 + 388 = 4*b + 5*o. Let t = b + -189. Solve 13*d + t = 16*d for d. 5 Let f(u) = -u**3 - 11*u**2 - u + 1. Suppose -4*b + 2*b = 22. Let i be f(b). Let y be ((90/i)/15)/((-2)/(-20)). Solve -m + 0*m + y = 0 for m. 5 Let b(u) = -u**2 - 48*u - 176. Let v = 397 - 441. Let h be b(v). Let j = 1 - -3. Solve h = -n - n + j for n. 2 Let t(v) = 32*v**2 - 258*v + 34. Let k be t(8). Solve -k*r = 21*r - 78 for r. 2 Let o = 39 - 26. Let z be (-138)/(-92)*650/39. Solve -8*s - z = -o*s for s. 5 Let j be 54/54 - (3 + -3 + -95). Solve 0 = -42*r + 10*r - j for r. -3 Suppose -3*c = -5*b + 40, 3 = b - 4*c - 22. Suppose b*m = -3*i + 29, 0 = -2*i + 6*i - 2*m - 4. Suppose 2 = i*s + 2. Solve -l + 3 = -s*l for l. 3 Suppose 319 = 4*g + 25*g. Suppose -w + g*w = 70. Solve 5 - 12 = -w*y for y. 1 Let g be 300/(-2)*(-1 - (-4)/8). Let m = g - 51. Suppose -41*k + 44*k = m. Solve 4*b = 2*b - k for b. -4 Suppose -25*i + 184 = 67*i. Let t be -4*(5 + -1)/(-2). Suppose -3*u - 33 = -i*g, -4*g - 69 = -t*g + 3*u. Solve g = -5*n - 7 for n. -5 Let u be (-540)/70 - (-6)/(-21). Let s(z) = -z - 8. Let q be s(u). Suppose -3*m = -6, -2 + q = -g + m. Solve -5 = i - g for i. -1 Let y be 6*(-1455)/(-230) - 35/(-805). Solve 2 = 8*h - y for h. 5 Let b be 98 - (0 - -1) - (107 + -51 - 53). Solve b*l = 103*l - 18 for l. 2 Suppose 0 = -8*t + 10*t - 3*c - 28, 0 = -t - c + 14. Solve -t*b - 25 = -39*b for b. 1 Suppose -7*c + 448 = -23*c. Let w be (c/(-7))/(-1) - -4. Solve 10 + w = 5*b for b. 2 Let w be 2/1 - (-50)/(-5). Let d(y) be the third derivative of -y**5/60 - 5*y**4/8 - 9*y**3/2 + 237*y**2. Let h be d(w). Solve -h = 4*k - 9 for k. -5 Let g = -737802 + 737829. Suppose -a = -0*a - 6. Solve -g = a*b + 3*b for b. -3 Let d be 113 - ((-6)/6*1)/(-2)*-2. Solve -118*z + d*z - 4 = 0 for z. -1 Suppose -i + 6*i - 10 = 0, -4*i - 32 = 5*d. Let c be (4/(-10))/(d/960*4). Solve -c - 9 = 7*h for h. -3 Let v(z) = 4 - 30*z**2 + 2*z**3 + 4 + 7*z**2 + 25*z - 28*z**2. Let x be v(25). Solve 5*m + 3 - x = 0 for m. 1 Let p be ((-180)/42)/(6/(-28)). Let l(n) = -6*n + 121. Let j be l(p). Solve 2*a - 3*a = -j for a. 1 Suppose 4*z - 70 = -10. Suppose -52*u + z = -49*u. Solve 0 = -u*m + 8 + 2 for m. 2 Suppose 5*u + 26 = -a - 27, -2*a + 3*u - 41 = 0. Let q be 419/5 + (a/20)/(-7). Suppose 9*h - 2*h - q = 0. Solve -5*g = -g + h for g. -3 Suppose 0*h = -3*a - 3*h + 9, -20 = 4*h. Suppose 6 = 3*p + 3*y, 4*p - a*p = 5*y - 9. Solve t + 5 = p for t. -4 Let o = 62 + -114. Let i = -52 - o. Let k be (-1)/(-4) + ((-1045)/(-20))/11. Solve i = -k*t + 2*t - 3 for t. -1 Let t(a) = 19*a - 71. Let v be t(16). Suppose 0 = -v*s + 231*s + 14. Solve s*i + 4 = 6*i for i. -4 Let z(x) = 7*x**2 + 2*x - 3. Let f be z(1). Suppose 50 = f*w - 16. Solve w*b + 16 = 7*b for b. -4 Let r be 22/(-11) - (-2 + -281). Suppose 0 = -40*a - 1 + r. Solve a*o = 8*o for o. 0 Let a = 8544 - 8477. Solve -a = -7*j - 25 for j. 6 Let p be ((-32)/(-4))/(-1) + -34 + 42. Solve 11*y - 10 - 1 = p for y. 1 Suppose 5*d - 70 = -y, 5*d = -2*y + 24 + 41. Suppose 0 = 2*h - 3*h. Solve h*o - d = -5*o for o. 3 Suppose 62 = 5*l - 13. Let n = -15131 + 15137. Solve -l = n*h - 3*h for h. -5 Let t(z) = -2*z**2 + 8*z - 5. Suppose -11*n + 49*n - 76 = 0. Let u be t(n). Solve u*y - 41 = -56 for y. -5 Let b(y) = -8*y**2 + 3*y + 42. Let n be b(0). Solve n - 70 = -7*m for m. 4 Suppose 5*l - 4*p = 241, -l = -2*p - 59 + 6. Solve l*a - 15*a = 0 for a. 0 Suppose 8749*u = 8741*u + 64. Solve 2*f - 60 = -u*f for f. 6 Suppose -136 = -6*x + 200. Let a = -23 + x. Suppose 8*z - a = -1. Solve c + 3 = z for c. 1 Let j be 10*(9/5)/(13 + -12). Suppose -46*o + 49*o - j = 0. Solve -o*r - 4 = -8*r for r. 2 Let g be 0/(3 - 1 - (-40)/(-8)). Let a be (-5)/(-4) - (-5)/(-20). Let x be 3 - -4 - a - 3. Solve x*y - 2*y = g for y. 0 Let q = -796 - -898. Solve q*o = 121*o + 38 for o. -2 Let o = 224 - 75. Let t = -147 + o. Solve 0 = t*k + 1 - 7 for k. 3 Let h(x) = 10*x**2 - 80*x - 81. Let p be h(-1). Let c = 52 - 27. Solve c = 4*g + p for g. 4 Suppose 42 = 3*r - 0*r. Let l(y) = -y**3 + y**2 - 5*y + 3. Let v be l(-9). Let f = 863 - v. Solve -f*w + r = -1 for w. 3 Suppose 3*s = -d - 6, 4*d - 62*s + 6 = -65*s. Solve d = -o - 830 + 829 for o. -1 Let z(g) = -g - 42. Let d be z(2). Let m = -40 - d. Solve -m = 6*p - 10*p for p. 1 Let i(g) = -5*g**2 - 2*g - 26. Let v be i(-5). Let p = -141 - v. Solve -2*u + 8 = -p for u. 4 Let o be (-1)/(-3)*0/(-13). Suppose -18*p = -4*u - 21*p + 28, o = -5*u + 2*p + 58. Solve 4*a - u = 10 for a. 5 Let s(f) = -f + 5. Let a be s(0). Let j be (-4)/(-2)*(-11)/22. Let m(d) = 2*d + 4. Let p be m(j). Solve -a*r + p*r = 0 for r. 0 Let c = 1 + 1. Suppose -4*n - 4*u = 4, -n - c*u + 0*u - 2 = 0. Suppose 2*a - 12 = -n*a. Solve 0 = -3*j + j - a for j. -3 Let d be (-1940)/(-35) + (-9)/21. Suppose 47 = -4*o + d. Solve o*n + 3*n + 25 = 0 for n. -5 Let c be (-2)/(-4)*2 + 74. Let r = -597 + 524. Let b = c + r. Solve b*d = 7*d for d. 0 Let s be 2/(-4) + (-243)/(-6). Suppose 1727*o = 1717*o + 50. Suppose -11*f + 14*f - s = o*b, 3*f = -5*b - 10. Solve f*u - 4 = 6 for u. 2 Suppose -5*q = 7 - 27. Let r(k)
{ "pile_set_name": "DM Mathematics" }
d? 60*d**2 Let g(q) be the second derivative of 7*q**6/360 + 7*q**5/120 + q**3 + 2*q. Let y(c) be the second derivative of g(c). Find the second derivative of y(t) wrt t. 14 Find the second derivative of 2*z**3 - 6*z + 2*z**3 - 6*z**3 wrt z. -12*z Suppose -4*d + 0*s = 5*s - 75, -45 = -4*d + 5*s. Suppose -j - 4*j = -d. What is the derivative of 1 - l**j - 2 + 0 wrt l? -3*l**2 Let b(p) be the second derivative of -1/4*p**4 + 0 - 2*p + 0*p**2 + 1/6*p**3. Find the second derivative of b(d) wrt d. -6 What is the second derivative of -4*d**2 + 16*d - 26*d + 9*d - 6*d**2 wrt d? -20 Let f be 2/(-3) + (-12)/(-18). Let m be 3/(1 + 2/4). Find the first derivative of 4*o**2 + m - 2*o**2 + f wrt o. 4*o Let h(z) = 15*z - 81. Let t(q) be the first derivative of -q**2/2 + 5*q + 3. Let n(j) = -2*h(j) - 33*t(j). What is the first derivative of n(k) wrt k? 3 Differentiate 4*x**3 - 2*x**3 - x**3 + 4*x**3 + 4 wrt x. 15*x**2 Let g(o) be the second derivative of o**7/840 + o**6/120 + o**3/2 - 4*o. Let l(f) be the second derivative of g(f). Find the third derivative of l(x) wrt x. 6 Let a = -12 - -15. What is the first derivative of -7 + 6*j**2 + j**2 - 6*j**a - 7*j**2 wrt j? -18*j**2 Let h(g) be the first derivative of g**5/20 + 7*g**4/12 - g - 1. Let i(z) be the first derivative of h(z). What is the third derivative of i(t) wrt t? 6 Let q(u) = 9*u**2 + 3*u + 1. Let z(m) = -10*m**2 - 4*m - 1. Let g = 12 + -9. Let a(n) = g*z(n) + 4*q(n). Find the first derivative of a(k) wrt k. 12*k Let m(d) be the third derivative of d**6/360 - d**5/40 + d**4/12 + 2*d**2. Let n(p) be the second derivative of m(p). Differentiate n(t) wrt t. 2 Let b(q) be the first derivative of 4*q**5/5 + 9*q**2/2 + 11. What is the second derivative of b(l) wrt l? 48*l**2 What is the second derivative of 2*b + 787*b**5 - 806*b**5 + 0*b wrt b? -380*b**3 Let k be (6/4)/(3/6). What is the second derivative of 6*w - 6*w**3 + 2*w**3 - 7*w + w**k wrt w? -18*w Let y(h) = -64*h**2 - 7*h - 62. Let b(v) = 43*v**2 + 5*v + 41. Let p(a) = -7*b(a) - 5*y(a). Find the first derivative of p(r) wrt r. 38*r Let t(j) be the second derivative of 0*j**3 - 2*j - 1/2*j**2 + 0 + 1/6*j**4. What is the derivative of t(k) wrt k? 4*k Suppose -4*f - 5*v + 6 = -1, 0 = 3*f + 3*v - 6. Find the first derivative of -3 + 3 - 3 + 0 - f*i wrt i. -3 Let a(l) be the first derivative of l**6/120 + l**3/3 - 2*l**2 - 2. Let v(p) be the second derivative of a(p). Find the first derivative of v(z) wrt z. 3*z**2 Let v be 4*(2 - 6/4). Suppose -v*l + 0 = -4. What is the first derivative of -4 + 1 + 2 - x**l + 2 wrt x? -2*x Find the second derivative of 6*o**4 + 28*o**3 - 15*o - 28*o**3 - 31*o**4 wrt o. -300*o**2 Let b(d) be the second derivative of -8*d**6/5 + d**4/4 - 3*d**2/2 + 53*d. What is the third derivative of b(i) wrt i? -1152*i Suppose 0 = 4*o - 3 - 5. Find the third derivative of -2*m**5 + 3*m**o + m**5 - 3*m**5 wrt m. -240*m**2 Let w = 13 + -10. What is the second derivative of w*f - 4*f + 2*f**3 + 2*f**3 wrt f? 24*f Let m(d) = -55*d**2 - 12. Let s(g) = -138*g**2 - 30. Let n(o) = -12*m(o) + 5*s(o). Differentiate n(f) wrt f. -60*f Let p(h) = 5*h. Suppose -5*x + w + 9 = 0, -3*x - w = 4*w + 17. Let s be p(x). Find the third derivative of -s*z**2 - 4*z**4 - z + z + z**2 wrt z. -96*z Find the second derivative of 7*z + 9*z + 14*z**5 + 6*z**5 wrt z. 400*z**3 Let n(u) be the second derivative of -2*u**7/105 - u**3/6 - u**2/2 - 4*u. Let s(z) be the first derivative of n(z). Find the first derivative of s(f) wrt f. -16*f**3 Let b = -128/3 + 43. Let u(z) be the first derivative of 0*z**2 + b*z**3 - 2 + 0*z + 0*z**4 + 1/5*z**5. What is the third derivative of u(y) wrt y? 24*y Let s(x) = -9*x**3 + 5*x**2 - 3. Let r(c) = 1 + 1 - 10*c**3 - c**3 + 19*c**3 - 5*c**2. Let y(u) = -3*r(u) - 2*s(u). Find the third derivative of y(z) wrt z. -36 Let u = -151 - -1813/12. Let h(q) be the second derivative of 1/6*q**3 + 0 + u*q**4 + 0*q**2 + 2*q. Find the second derivative of h(p) wrt p. 2 Let u(i) = i**2 - 5*i. Let w be u(6). Let l be 32/8 + -1*2. What is the third derivative of z**w - z**2 - z**l + z**6 wrt z? 240*z**3 Suppose 4*t - 17 + 5 = 0. Let b be t - 0*(-2)/4. Differentiate 1 + c**4 + 3*c**4 - b*c**4 with respect to c. 4*c**3 Let q(j) = j**3 + 5*j**2 - 7*j - 4. Let x be (18/8)/(9/(-24)). Let g be q(x). Differentiate 10*u**2 + g - 1 - 11*u**2 with respect to u. -2*u Let h(b) = -200*b**3 - 48*b**2 + 104. Let y be 25/(-20)*4/1. Let a(x) = 21*x**3 + 5*x**2 - 11. Let w(v) = y*h(v) - 48*a(v). Differentiate w(m) wrt m. -24*m**2 Let t(i) = 15*i**3 + 15*i. Let x(v) = -v**3 - v. Let n(m) = t(m) + 10*x(m). Find the second derivative of n(l) wrt l. 30*l What is the first derivative of -40*p - 20 - 30 - 7 + 7 - 2*p**2 wrt p? -4*p - 40 Let y(f) be the first derivative of 0*f**2 + 0*f - 2/3*f**3 - 1/2*f**4 + 1. What is the third derivative of y(l) wrt l? -12 Let l(i) = -6*i**3 - 4*i**2 - 6*i. Let z(m) = 19*m**3 + 11*m**2 + 19*m. Let j(s) = 11*l(s) + 4*z(s). Find the second derivative of j(x) wrt x. 60*x Suppose 0 = -0*m + m - 3. Suppose -2*o + 13 = -2*a + 3*a, m*a - 4 = o. Find the second derivative of w - a*w**2 + 5*w**2 + 0*w**2 wrt w. 4 Let p(j) be the first derivative of j**6/30 + j**4/12 - 3*j - 1. Let g(y) be the first derivative of p(y). Find the third derivative of g(n) wrt n. 24*n Let c(i) be the first derivative of -7*i**2/2 - i - 7. What is the first derivative of c(a) wrt a? -7 Let k(p) = p**4 + p**3 - p. Let x(a) = -9*a**4 - 2*a**3 + 3*a. Let m(u) = -2*k(u) - x(u). What is the second derivative of m(v) wrt v? 84*v**2 Let s(w) be the third derivative of w**5/4 + w**4/6 - 7*w**2. Find the second derivative of s(k) wrt k. 30 Find the third derivative of 5*a**4 - 8*a**5 - 6*a**4 + 2*a**2 - 16*a**2 + 16*a**5 wrt a. 480*a**2 - 24*a Let p(l) = 7*l**2 - 5*l - 8. Let g(t) = -8*t**2 + 6*t + 9. Let s = 9 - 15. Let o(c) = s*p(c) - 5*g(c). What is the first derivative of o(a) wrt a? -4*a Let m(z) = 41*z**3 - 8*z + 21. Let t(r) = 27*r**3 - 5*r + 14. Let x(a) = -5*m(a) + 8*t(a). Differentiate x(u) with respect to u. 33*u**2 Let p = 76 - 71. Let g(m) be the first derivative of 2 + m**3 + 0*m**4 + 0*m**2 + 0*m + 2/5*m**p. What is the third derivative of g(b) wrt b? 48*b Let r be (-4)/(-3)*3/2. Let g = r - 0. What is the first derivative of 0 + g*h + 0*h + 1 wrt h? 2 Let n(b) = -13*b**4 + 39*b**2 - 7*b + 7. Let k(h) = 6*h**4 - 20*h**2 + 4*h - 4. Let a(y) = -7*k(y) - 4*n(y). What is the third derivative of a(f) wrt f? 240*f Let t(c) be the first derivative of 0*c**4 + 0*c + 3 - 1/3*c**3 - 4/5*c**5 + 0*c**2. What is the third derivative of t(o) wrt o? -96*o Let y(d) = d + 3. Let h be y(0). What is the third derivative of -3*w**2 + 2*w**2 - w**h - 2*w**2 wrt w? -6 Let r(q) be the third derivative of q**5/60 - q**4/24 + 7*q**3/6 + q**2. Let u be r(0). What is the first derivative of 2*w**4 - u + 4 + 2 wrt w? 8*w**3 What is the third derivative of -7*d**5 + 10*d**2 + 172*d**4 - 172*d**4 wrt d? -420*d**2 Let x be 4/22 + 10/(-55). Let f be 0 + 1 + 0 + x. Find the third derivative of -3*z**2 + 1 + 5*z**2 + z**3 - f wrt z. 6 Let l(s) be the second derivative of -s**9/252 - s**5/60 + 2*s**2 + 9*s. Let z(w) be the first derivative of l(w). Find the third derivative of z(n) wrt n. -240*n**3 Let x(d) = -3 + 4 - 6*d + 4*d + d. Let v(n) = -3*n + 4. Let i be 2/((-11)/9 + 1). Let g(m) = i*x(m) + 2*v(m). Differentiate g(r) with respect to r. 3 Find the third derivative of 0*h**2 - 31*h**6 + 34 + 3*h**2 - 32 wrt h. -3720*h**3 Suppose -5*b = -15, -3*g + 5*b = -0*b. Find the third derivative of g - 2*o**2 - 5 + 3*o**3 wrt o. 18 Let w be 4 - ((-2)/(-1) - 1). Differentiate 0 + 3 - 8*m**3 + 5*m**w with respect to m. -9*m**2 Let k(r) be the second derivative of 0*r**3 - 2*r + 0*r**4 + 1/10*r**5 + 0 - 3/2*r**2. Differentiate k(b) with respect to b. 6*b**2 Let r(t) be the third derivative of 19*t**7/210 + 23*t**3/6 - 23*t**2. Find the first derivative of r(x) wrt x. 76*x**3 Let x be (-6)/(1*4/(-2)). Let l be 2 + (x + 1 - 2). What is the first derivative of -5 + l + 4 - 2*z**4 - 2 wrt z? -8*z**3 Let b(k) = -k - 1. Let z be b(-3). Let w be (45/12)/((-1)/(-4)). Differentiate 1 + z*x**3 + w*x - 15*x wrt x. 6*x**2 Let u(w) be the second derivative of 3*w**5/20 - w**2 + 6*w. What is the first deriva
{ "pile_set_name": "DM Mathematics" }
159? 571590 Calculate the smallest common multiple of 1350 and 7290. 36450 What is the common denominator of -40/667419 and 5/19371? 7341609 Find the common denominator of 31/159637 and -10/7. 1117459 Calculate the least common multiple of 79846 and 279461. 558922 What is the least common multiple of 1290 and 64500? 64500 Calculate the smallest common multiple of 3 and 978363. 978363 What is the smallest common multiple of 7756 and 168? 46536 What is the smallest common multiple of 7326 and 792? 29304 Find the common denominator of -47/49096 and -61/30. 736440 Calculate the common denominator of 11/252 and -71/82488. 247464 Calculate the common denominator of -137/84 and -157/62748. 62748 What is the smallest common multiple of 493790 and 20? 987580 What is the common denominator of 31/3554 and -55/8? 14216 Calculate the smallest common multiple of 406 and 912. 185136 Find the common denominator of -27/4660 and -4/115. 107180 Calculate the lowest common multiple of 13912 and 17390. 69560 Calculate the least common multiple of 40 and 1492. 14920 What is the lowest common multiple of 108 and 23956? 646812 What is the common denominator of -76/197145 and 31/26286? 394290 Calculate the common denominator of -57/320 and 103/5232. 104640 What is the lowest common multiple of 34881 and 6342? 69762 Find the common denominator of 73/171732 and 25/300531. 1202124 What is the lowest common multiple of 31696 and 47544? 95088 What is the smallest common multiple of 289883 and 13651? 4928011 What is the common denominator of 5/16728 and 19/238? 117096 Calculate the smallest common multiple of 74 and 1171. 86654 Calculate the smallest common multiple of 3076 and 119964. 119964 What is the least common multiple of 352 and 137888? 1516768 What is the common denominator of 32/1105 and -103/3315? 3315 Calculate the common denominator of 127/2090 and 21/242. 22990 Calculate the common denominator of -2/22729 and -95/1194896. 8364272 Calculate the lowest common multiple of 601 and 98. 58898 What is the smallest common multiple of 720 and 264? 7920 What is the smallest common multiple of 13884 and 39? 13884 What is the smallest common multiple of 32 and 15856? 31712 Calculate the common denominator of 103/13442 and 67/188. 26884 Calculate the common denominator of -79/6026 and 67/1572. 36156 What is the lowest common multiple of 22163 and 37138? 1374106 Find the common denominator of -7/6212 and 83/8. 12424 Calculate the least common multiple of 4 and 37252. 37252 What is the common denominator of 59/9603 and -193/330? 96030 What is the common denominator of 1/180 and 47/695700? 695700 Calculate the least common multiple of 39850 and 450. 358650 Calculate the common denominator of -101/4476 and -127/1290. 962340 What is the common denominator of 101/6 and 79/38850? 38850 Calculate the least common multiple of 1338128 and 608240. 6690640 What is the common denominator of 34/206555 and -119/3790? 413110 Calculate the lowest common multiple of 112380 and 5. 112380 Calculate the smallest common multiple of 75 and 40968. 1024200 Calculate the common denominator of -137/42 and -113/246. 1722 What is the common denominator of -38/49 and -6/9247? 64729 Calculate the least common multiple of 1658 and 2. 1658 Calculate the common denominator of 5/812562 and -2/21. 5687934 Calculate the lowest common multiple of 278 and 136526. 18977114 What is the lowest common multiple of 1645902 and 10? 8229510 What is the least common multiple of 766966 and 6? 2300898 Calculate the lowest common multiple of 240 and 109945. 5277360 Find the common denominator of 57/16142 and 20/1153. 16142 Calculate the smallest common multiple of 270 and 622650. 5603850 Find the common denominator of -19/45 and 2/3197. 143865 What is the least common multiple of 17 and 15817? 268889 What is the common denominator of -74/4983 and 89/495? 74745 Calculate the common denominator of 79/136746 and 53/51. 2324682 What is the least common multiple of 60694 and 8? 242776 What is the common denominator of 31/221610 and 131/132966? 664830 Calculate the smallest common multiple of 383 and 22. 8426 What is the least common multiple of 600 and 244500? 489000 Find the common denominator of -13/30 and 109/534. 2670 Calculate the least common multiple of 185 and 35320. 1306840 Calculate the common denominator of 47/29280 and -14/5. 29280 What is the least common multiple of 200 and 28075? 224600 Calculate the least common multiple of 265 and 375. 19875 What is the least common multiple of 806 and 57722? 750386 What is the common denominator of 89/3070 and 71/2763? 27630 What is the smallest common multiple of 1066 and 1804? 23452 Calculate the common denominator of -65/106 and 3/319778. 16948234 What is the lowest common multiple of 20 and 329432? 1647160 Calculate the common denominator of -63/10 and 49/22825. 45650 What is the common denominator of -35/72887 and 25/1288? 4081672 Find the common denominator of 79/9534 and -35/5448. 38136 Calculate the common denominator of -29/28 and 47/148200. 1037400 What is the smallest common multiple of 44540 and 680? 89080 Calculate the lowest common multiple of 9618 and 336. 76944 Calculate the smallest common multiple of 19140 and 1014420. 1014420 Calculate the common denominator of 71/3094 and -127/546. 9282 What is the smallest common multiple of 210 and 41950? 880950 What is the least common multiple of 2513 and 1031048? 7217336 Find the common denominator of -37/2779 and 7/794. 5558 Calculate the common denominator of 125/96 and -39/4384. 13152 What is the lowest common multiple of 8 and 417696? 417696 What is the common denominator of -127/61830 and 11/10305? 61830 Calculate the smallest common multiple of 83390 and 383594. 1917970 Calculate the smallest common multiple of 14688 and 9248. 249696 What is the common denominator of 77/9980 and -28/30439? 608780 Calculate the common denominator of 46/495 and -23/12. 1980 Find the common denominator of -181/8100 and -19/225585. 4511700 Find the common denominator of -193/4080 and 52/13005. 208080 What is the common denominator of 35/426 and 7/8991? 1276722 Calculate the least common multiple of 10 and 14696. 73480 Find the common denominator of -19/1050 and 11/144. 25200 Calculate the lowest common multiple of 14 and 36664. 256648 Calculate the common denominator of -133/2820 and -97/1670. 470940 Find the common denominator of -9/36701 and -39/7490. 367010 Find the common denominator of 17/7705 and 113/15410. 15410 Find the common denominator of -31/2202 and 127/36. 13212 Calculate the least common multiple of 40034 and 11902. 440374 What is the common denominator of 73/196032 and -61/65344? 196032 What is the common denominator of -3/24035 and 86/855? 216315 Calculate the common denominator of 49/162 and 13/26568. 26568 What is the least common multiple of 10192 and 77168? 540176 Find the common denominator of -85/69968 and -89/24. 209904 Calculate the common denominator of 4/17941 and -34/84579. 592053 Find the common denominator of 47/79475 and 19/11. 79475 Calculate the common denominator of -5/136 and 41/2074221. 16593768 Calculate the smallest common multiple of 9495 and 22155. 66465 What is the least common multiple of 17430 and 42? 17430 Calculate the least common multiple of 352 and 5492. 483296 Calculate the lowest common multiple of 2616 and 74. 96792 Calculate the least common multiple of 8952 and 44387. 1065288 What is the least common multiple of 2168 and 5691? 45528 Calculate the common denominator of -79/1314 and -13/18396. 18396 What is the common denominator of -3/15389 and 69/55960? 615560 Find the common denominator of -9/477950 and -1/238975. 477950 What is the smallest common multiple of 63040 and 352? 693440 Calculate the lowest common multiple of 155430 and 3454. 155430 Calculate the common denominator of -179/360 and 53/61520. 553680 Calculate the common denominator of 58/12545 and -76/195. 37635 What is the smallest common multiple of 7095 and 90? 42570 What is the lowest common multiple of 1015940 and 948? 3047820 Calculate the common denominator of -151/708 and 67/78. 9204 Calculate the lowest common multiple of 11 and 8318256. 91500816 Calculate the common denominator of -6/65 and 111/39208. 1960
{ "pile_set_name": "DM Mathematics" }
- f. What is the highest common divisor of f and q? 3 Let t(y) = 20*y**2 - 2*y + 3. Let i(w) = w**2 - 2*w - 1. Let r be i(-1). Let a be t(r). Let f = a + -19. Calculate the highest common factor of f and 15. 15 Let j(m) = m**2 + 8*m - 6. Let f be j(5). Suppose -3*a + f = -40. Calculate the greatest common divisor of a and 22. 11 Let v be 68 - (6/(-6) + (-6)/(-2)). Calculate the highest common divisor of v and 11. 11 Let n(o) = -5*o + 4. Let l be n(-9). Suppose 5*m - l = 1. Suppose -2*r - 16 = -t + m, -t + 3*r = -31. What is the highest common divisor of 8 and t? 8 Let g(o) = 5 - 2*o + 4*o**2 - o - 3 - 3. Let j be g(-2). Calculate the greatest common divisor of 21 and j. 21 Let k = 12 - -4. Let s = 39 - k. Calculate the greatest common factor of s and 253. 23 Suppose -2*x = -2*q + 56, -2*q + x + 2*x = -60. Suppose -v + 0*v = -5. Suppose t + 5 = 4*k, 2*k = -4*t + 21 - v. What is the greatest common factor of q and t? 3 Let x(a) = -a**2 - 5*a + 4. Let d be x(-6). Let s = d - -12. Calculate the greatest common factor of 4 and s. 2 Suppose 3*p - 69 - 3 = 0. What is the greatest common factor of 96 and p? 24 Let r = -46 + 79. What is the highest common divisor of r and 11? 11 Let o = 4 + 0. Calculate the highest common factor of o and 12. 4 Suppose 4*k + 13 = 85. Suppose -3*g - 5*t + 110 = 0, -4*g + 3*g - 4*t = -25. What is the highest common factor of k and g? 9 Suppose 70 = 5*h - 0*h. Suppose -2*n + 7*n = 10. Suppose -224 = -4*f + n*f. What is the highest common factor of f and h? 14 Suppose 0 = 5*h - 5*d - 145, -3*h + 4*d - 172 = -8*h. Calculate the greatest common divisor of h and 32. 32 Suppose -722 + 262 = 5*o - 4*y, 0 = 3*y - 15. Let n = -32 - o. Calculate the highest common factor of 14 and n. 14 Suppose 0 = -2*a - a + 9. What is the highest common factor of a and 2? 1 Let p be 0 - (2 - 87/3). Let w be 8/20 - (-39)/15. What is the highest common divisor of w and p? 3 Suppose 46 = 2*a - 5*x, 5*x = -5*a - 8 + 53. Calculate the highest common divisor of 169 and a. 13 Let b = 175 + -40. Let j(x) = -4*x + 7. Let w be j(-2). Calculate the highest common divisor of w and b. 15 Suppose 56 + 64 = 3*q - 3*h, -4*q = -h - 175. Let g be q + -6 + (-6)/(-2). What is the greatest common factor of g and 14? 14 Let k = -3 - -3. Suppose 5*f - 375 = -k*f - 5*l, -l = -5. Suppose -3*o - 2 = -o, 2*a + 5*o = 51. Calculate the greatest common factor of a and f. 14 Let t(v) = v**3 - 6*v**2 - 2*v + 6. Let c be t(5). Let q = 51 + c. Suppose 75 = 4*b - 3*d - q, 37 = b - 5*d. What is the highest common divisor of 33 and b? 11 Suppose 3*i + 11 = -7. Let m = i + 6. Suppose m + 2 = s. What is the highest common factor of s and 2? 2 Suppose -2*b + 6*b = 0. Suppose 12 = -b*a + a. What is the greatest common factor of a and 12? 12 Let b(p) = p**3 + 4*p**2 + 3*p. Let y be b(-3). Suppose y*h - 2*h = -16. Calculate the highest common divisor of h and 20. 4 Let r(a) = a - 6. Let j be r(9). Let c = 16 + -11. Suppose 3*q - 4 = c. Calculate the greatest common factor of j and q. 3 Let k be 50*(9/(-6) - -2). Suppose 0 = 2*t + 2*t - 800. What is the greatest common divisor of t and k? 25 Let a = 0 + 3. Suppose 0 = a*p - 4*p - 4*j + 12, 98 = 5*p + j. What is the highest common factor of p and 4? 4 Let b(s) = s**3 - 3*s**2 + s. Suppose 5*c - 24 = 3*c. Suppose -2*g = g - c. Let x be b(g). Calculate the greatest common divisor of x and 140. 20 Let x(n) = 0*n + 3*n - 12 + 10*n. Let k be x(9). Calculate the greatest common divisor of k and 42. 21 Let z be (-64)/(-10) - (-10)/(-25). Let r(t) = 2*t**2 - 9*t + 8. Let b be r(z). Suppose 0 = -5*p - 6 + b. Calculate the highest common factor of p and 12. 4 Let w be 0/(-4) + 7 + -2. Suppose 1402 = w*m + 357. Calculate the greatest common factor of m and 19. 19 Let z be 3/6 - 438/(-4). Calculate the highest common divisor of z and 10. 10 Let c be 1/3 + (-429)/(-9). Let w(r) = r**2 - 2*r - 4. Let v be w(3). Let u be 9/(2 + v) - 3. What is the highest common divisor of c and u? 6 Let y be (4 + 1)*(8 + -6). Calculate the greatest common divisor of 80 and y. 10 Suppose 4*m - t - 34 = t, -m - 2*t = -1. Suppose 0*g - s = 2*g - 16, -s - 14 = -3*g. Let f be (2 + -1)*(1 + g). What is the highest common factor of f and m? 7 Let p be (6/9)/((-4)/6). Let q(z) = -5*z**3 - 1. Let l be q(p). Calculate the highest common factor of 16 and l. 4 Suppose 0*t - 15 = -5*t. Suppose t*s = 2*n + 76, 0*s + 3*s - n - 80 = 0. Calculate the highest common factor of 7 and s. 7 Suppose -309 = 3*u - 6*u + p, -u + 2*p = -108. Let k = 245 - u. Calculate the greatest common factor of 13 and k. 13 Suppose -15*v = -17*v + 22. What is the greatest common divisor of 99 and v? 11 Suppose 0*p + 15 = 3*p. Suppose -2*d - p*h = -50, -5*d - 6*h = -h - 110. What is the highest common divisor of 5 and d? 5 Let c = 3 + 3. Let g(a) = -a**3 + 7*a**2 - 4*a - 7. Let l be g(c). Calculate the greatest common factor of 1 and l. 1 Suppose 4*o - 112 = -3*k + 2*o, -5*k = -4*o - 216. Suppose -4 = 4*u - 6*u + 3*m, 5*u - 17 = 4*m. What is the highest common factor of k and u? 5 Let m(p) = -2*p**3 + 2*p**2 + 3*p + 2. Let c be m(-2). Let v be ((-25)/c)/((-2)/184). Calculate the highest common divisor of v and 23. 23 Suppose 5*p - 109 = 2*p - 5*w, -p = -w - 31. What is the greatest common factor of 44 and p? 11 Suppose 0 = -p + 4*p - 2166. Let c be p/8 - 1/4. Let f = -12 - -22. Calculate the greatest common factor of f and c. 10 Suppose 5*p = r - 60, -2*r + 120 = -p - 0*p. Suppose 20*s = 11*s + 216. Calculate the highest common divisor of s and r. 12 Suppose -8*k = -7*k - 9. Suppose q + 2*f + 3*f - 21 = 0, 3*q - 105 = -f. Calculate the greatest common divisor of q and k. 9 Let g = -65 - -89. What is the greatest common divisor of 16 and g? 8 Let z = 1 - 6. Let l = -3 - z. Suppose -l*o = -4, 86 = 4*p - o + 6*o. What is the highest common factor of p and 171? 19 Let z = 13 - 6. Let l be (-3 - (2 + -4))*-10. Let y be ((-28)/l)/(1/(-5)). Calculate the highest common factor of z and y. 7 Suppose 2*d - 121 = -25. Suppose -4*v + 4*k + 112 = 0, -v = 3*v + 2*k - 118. Suppose v = -4*i + 93. What is the highest common factor of i and d? 16 Let j = -4 + 6. Let i be 3*(j + -1) - -3. Let l be 2*(99/i)/3. Calculate the greatest common divisor of l and 11. 11 Suppose 4 - 7 = 3*l - 4*p, 5*l - 3*p - 6 = 0. Suppose -g - l*g = -528. Suppose i + 12 = 2*i. What is the highest common factor of i and g? 12 Let g be 79/4 + (-1)/(-4). Calculate the highest common factor of g and 5. 5 Let x be (-28)/10 + (-2)/10. Let b be (3 - (x - -1)) + -2. Suppose w - p = 11, 2*w = 8*p - b*p + 19. Calculate the highest common factor of 18 and w. 6 Suppose 61 = 2*g + d, -4*d - 150 + 58 = -4*g. Suppose -4*t + 2*x = t - 420, 0 = 3*t - 2*x - 252. Calculate the highest common factor of t and g. 28 Let o be (-50)/(-13) - (7 + 558/(-78)). Calculate the greatest common factor of 4 and o. 4 Suppose 0 = o + 4*o - 60. Let d be 2 + -1*(-450)/1. Suppose -d = -4*m - 5*j, -2*m + j + 320 = m. Calculate the greatest common factor of o and m. 12 Suppose 7*a - 12*a + 220 = 0. What is the highest common factor of a and 4? 4 Let t = 25 - 17. What is the highest common divisor of 2 and t? 2 Let b be (-6)/9 - (-22)/(-3). Let z be (-3 - 0)/(6/b). Let a(q) = q**2 + q - 2. Let o be a(2). Calculate the highest common factor of o and z. 4 Suppose 1 = -m + 5*u - u, -5*m - 3*u = -64. Suppose -t - 7 = -2*t. Let q = 18 - t. Calculate the greatest common divisor of m and q. 11 Let l be -3 + 2/(6/(-3)). Let u(c) = -16*c - 4. Let s be u(l). Suppose -o = -0*o - s. What is the greatest common factor of o and 15? 15 Suppose 2*r - 68 = 3*p, 3*p - 5*p + r = 44. Let u = -14 - p. Suppose 18 = 2*z + z. Calculate the highest common factor of u and z. 6 Suppose -4*q - 20 = 0, z + 5 + 0 = -2*q. Suppose -45 - 10 = -z*m. What is the greatest common factor of m and 77? 11 Let u = 4 + -3. Let z be u + 3 - (-2 + 1). What is the greatest common factor of z and 35? 5 Let a = -8 - -13. Suppose 3*n + 12 = 21. Suppose p + n*p - 80 = 0. Calculate the greatest common divisor of p and a. 5 Let l(x) = 5*x**2 - 4*x - 3. Let i(y) = -2*y**2 + 2*y + 1. Let u(t) = 7*i(t) + 3*l(t). Let b be u(-3). What is the highest common factor of b and 11? 1 Let r(u) = 3*u + 1. Let n be r(5). Suppose 4*z = 5*s + 47, -n = -z
{ "pile_set_name": "DM Mathematics" }
common divisor of 14 and 263515. 7 Calculate the greatest common divisor of 1636 and 395503. 409 What is the greatest common factor of 357 and 6171? 51 What is the highest common factor of 386 and 5581753? 193 Calculate the highest common divisor of 1440 and 672. 96 Calculate the greatest common divisor of 12429 and 9. 9 Calculate the highest common factor of 1397887 and 551. 551 What is the greatest common divisor of 18515 and 8855? 805 What is the highest common factor of 80 and 695984? 16 What is the highest common divisor of 126 and 2271654? 126 What is the highest common factor of 13760 and 8? 8 Calculate the greatest common factor of 12780 and 994. 142 Calculate the highest common factor of 840 and 1281. 21 Calculate the highest common divisor of 635283 and 62. 31 Calculate the greatest common factor of 10840 and 18440. 40 Calculate the highest common divisor of 6 and 11274. 6 What is the highest common factor of 565 and 305? 5 What is the highest common divisor of 61900 and 375? 25 Calculate the highest common divisor of 62021 and 18208. 569 What is the highest common divisor of 561 and 33150? 51 Calculate the greatest common factor of 2543242 and 754. 754 What is the greatest common divisor of 1195700 and 88? 44 What is the highest common divisor of 2646 and 108? 54 Calculate the greatest common factor of 782552 and 920. 184 What is the greatest common divisor of 355206 and 636? 318 What is the greatest common divisor of 146994 and 54? 6 Calculate the greatest common factor of 77 and 304381. 77 Calculate the greatest common divisor of 3995 and 323. 17 Calculate the highest common divisor of 400 and 247600. 400 Calculate the highest common factor of 79 and 356211. 79 Calculate the greatest common divisor of 120 and 78560. 40 What is the highest common divisor of 2 and 747810? 2 What is the greatest common factor of 154552 and 16? 8 What is the highest common divisor of 35316 and 30411? 981 Calculate the greatest common factor of 200 and 940. 20 Calculate the greatest common factor of 2511 and 45117. 81 Calculate the greatest common divisor of 225 and 4221. 9 What is the highest common divisor of 186655 and 420? 35 Calculate the greatest common factor of 141583 and 13. 13 Calculate the greatest common divisor of 1260 and 7497. 63 What is the greatest common divisor of 54281 and 611099? 1751 What is the highest common factor of 245293 and 1598? 799 Calculate the highest common factor of 75411 and 14896. 931 What is the highest common factor of 165046 and 14? 14 Calculate the greatest common factor of 31812 and 124. 4 What is the highest common divisor of 508 and 8457692? 508 What is the highest common divisor of 10063 and 145? 29 What is the highest common divisor of 264 and 49032? 24 What is the highest common factor of 69 and 169464? 69 What is the highest common factor of 1957 and 7600? 19 Calculate the highest common factor of 584 and 4163336. 584 What is the greatest common divisor of 65 and 5890105? 65 What is the highest common factor of 1457 and 4762933? 1457 What is the highest common divisor of 48 and 28008? 24 What is the greatest common divisor of 4792 and 248? 8 Calculate the highest common divisor of 2754 and 9486. 306 Calculate the greatest common factor of 147857 and 6169. 199 Calculate the highest common factor of 16640 and 585. 65 Calculate the greatest common divisor of 182 and 1778. 14 What is the greatest common factor of 796142 and 62? 62 Calculate the greatest common factor of 3373167 and 21. 21 Calculate the highest common divisor of 500 and 1726900. 100 What is the greatest common divisor of 532 and 2324? 28 Calculate the highest common factor of 528 and 123376. 176 Calculate the highest common factor of 191654 and 1106. 158 What is the greatest common factor of 309555 and 270? 135 Calculate the greatest common divisor of 1010262 and 12. 6 Calculate the highest common divisor of 182 and 686998. 26 Calculate the highest common divisor of 135 and 23535. 45 What is the highest common divisor of 36557 and 6575? 263 What is the greatest common divisor of 4366 and 10030? 118 Calculate the highest common divisor of 43489 and 1413. 157 Calculate the greatest common divisor of 851 and 3864. 23 What is the greatest common factor of 218 and 31174? 218 What is the greatest common factor of 12969 and 17816? 131 Calculate the highest common factor of 84 and 25788. 84 What is the greatest common factor of 62900 and 13600? 1700 What is the highest common factor of 1022 and 6748? 14 Calculate the highest common divisor of 847 and 1463. 77 Calculate the highest common divisor of 244525 and 75. 25 Calculate the highest common factor of 1885 and 38135. 145 What is the highest common factor of 27727 and 153? 17 What is the greatest common factor of 245 and 33740? 35 What is the greatest common divisor of 36 and 39264? 12 What is the highest common divisor of 102830 and 364? 182 What is the highest common factor of 20419 and 35? 7 What is the greatest common divisor of 96718 and 407? 37 What is the greatest common divisor of 15606 and 12393? 459 Calculate the highest common factor of 726 and 156211. 121 Calculate the greatest common divisor of 855 and 8455. 95 Calculate the greatest common divisor of 60 and 2894340. 60 What is the highest common factor of 229853 and 39? 13 What is the greatest common factor of 301058 and 436? 218 What is the greatest common factor of 1224 and 13656? 24 Calculate the highest common divisor of 47 and 136864. 47 What is the highest common divisor of 6956 and 218268? 188 What is the highest common divisor of 52 and 872014? 26 Calculate the greatest common factor of 18642 and 3510. 78 Calculate the greatest common factor of 646 and 13736. 34 Calculate the greatest common divisor of 188046 and 3162. 186 What is the greatest common divisor of 8990 and 2030? 290 Calculate the highest common factor of 195 and 1807845. 195 Calculate the highest common factor of 476 and 70868. 28 What is the greatest common divisor of 59426 and 172? 86 Calculate the greatest common divisor of 38664 and 432. 216 Calculate the highest common divisor of 52 and 19253. 13 Calculate the greatest common factor of 7350 and 142296. 294 Calculate the highest common factor of 2216 and 3032. 8 What is the highest common divisor of 494507 and 13? 13 Calculate the greatest common divisor of 1003970 and 110. 110 What is the highest common divisor of 38 and 118? 2 Calculate the greatest common divisor of 3 and 869. 1 What is the highest common divisor of 1904363 and 5505? 367 Calculate the highest common divisor of 8 and 2565016. 8 What is the greatest common divisor of 4876 and 19412? 92 What is the greatest common factor of 24 and 525948? 12 Calculate the highest common factor of 3 and 938386. 1 What is the greatest common factor of 937 and 54? 1 Calculate the highest common divisor of 30 and 12918. 6 What is the greatest common factor of 20 and 244690? 10 What is the highest common factor of 8 and 108776? 8 Calculate the highest common divisor of 10 and 115435. 5 Calculate the greatest common divisor of 6862 and 527498. 146 What is the greatest common divisor of 488 and 158783? 61 What is the greatest common factor of 256 and 14912? 64 Calculate the highest common factor of 50523 and 264. 33 Calculate the highest common factor of 98474 and 1378. 106 What is the greatest common divisor of 1661020 and 2120? 1060 What is the highest common factor of 6108 and 2221276? 2036 What is the greatest common divisor of 347 and 80851? 347 What is the highest common factor of 28030 and 30? 10 Calculate the greatest common divisor of 2388 and 84. 12 Calculate the highest common factor of 3610552 and 88. 88 What is the highest common factor of 571797 and 9? 9 What is the highest common factor of 36 and 766200? 12 Calculate the highest common factor of 2416 and 11552. 16 Calculate the greatest common factor of 2828 and 252. 28 What is the highest common divisor of 11066 and 44? 22 Calculate the highest common factor of 174484 and 2896. 724 Calculate the highest common divisor of 36676 and 477. 53 What is the highest common divisor of 20 and 72235? 5 Calculate the greatest common factor of 3233 and 1643. 53 What is the highest common divisor of 1410 and
{ "pile_set_name": "DM Mathematics" }
. List the prime factors of g(j). 2 Let p(h) be the first derivative of -h**4/4 - 4*h**3 + 9*h**2/2 - 17*h - 4. What are the prime factors of p(-13)? 5, 7 Let c(i) = i**3 - 4*i**2 - 5*i + 4. Let x be c(5). Let v = 4 - -3. Suppose v*f = x*f + 12. What are the prime factors of f? 2 Let h be 2*-3*(-46)/4. Suppose h = 5*j - 2*j. List the prime factors of j. 23 Suppose -5*y + 8 = -3*y. Suppose -9*p + 40 = -y*p. What are the prime factors of p? 2 Let d(x) = -4 + 0*x - 3*x + 2*x**2 + 3*x. Let a be d(-3). Let m = a + -9. What are the prime factors of m? 5 Suppose k - 56 = -2*h + 34, 3*k = 4*h - 190. Suppose 2*f - h = -0*f. What are the prime factors of f? 23 Let l be 3/2*16/3. Suppose -3*j + 9 + 3 = 0. Suppose -l + 28 = j*i. List the prime factors of i. 5 Suppose o = 6*o. List the prime factors of 11 - 0 - (o - -2). 3 Suppose g = -1 + 11. Suppose 3*a - 2*r + 30 = r, -a - g = r. Let n = -7 - a. List the prime factors of n. 3 Let k = 30 - 6. List the prime factors of k. 2, 3 Let v(y) = y**3 - 4*y**2 - 11*y + 19. List the prime factors of v(6). 5 Let x be (4/7)/(2/7). Suppose 19 + 6 = x*o + k, -5*k + 5 = 0. What are the prime factors of o? 2, 3 Suppose -3*t = 2*w + 2*t - 93, 0 = -5*t + 25. What are the prime factors of w? 2, 17 Let b = -69 - -106. What are the prime factors of b? 37 Let o = 8 - 4. Suppose 0*y = -o*y + 32. What are the prime factors of y? 2 Let y(t) = -11*t - 1. Let n(s) = -s**3 - 8*s**2 - 6*s + 9. Let l be n(-7). Suppose 0*x - 2 = l*x. List the prime factors of y(x). 2, 5 Let b be ((-2)/(-2)*6)/(-1). Let x = -6 - b. Suppose x = 5*s + 4 - 24. What are the prime factors of s? 2 Suppose -2 = -u - 0. Suppose -u*o = -o - 35. List the prime factors of o. 5, 7 Suppose -2*y + 3*b + 315 = y, 213 = 2*y + b. What are the prime factors of y? 2, 53 Let k = -21 - -15. Let j(q) = q + 21. Let w be j(-10). Let t = w + k. List the prime factors of t. 5 Let z be (-8)/(-12) - 146/(-6). Suppose 5*c + z = 0, 0*a + 2 = a + 5*c. List the prime factors of a. 3 Let t = -4 + 5. Let d be (t*7)/(-2 - -3). Suppose -2*r + 52 = 3*l, d*r - 88 = 2*r + 3*l. What are the prime factors of r? 2, 5 Suppose -2*m - 6 = 5*h, 10 = -4*h - 0*m + m. Let n(a) = -5*a + 1. What are the prime factors of n(h)? 11 Let m = 76 + -46. What are the prime factors of m? 2, 3, 5 Let t(r) = -r + 5. Let o be t(4). Suppose q + o = 23. What are the prime factors of q? 2, 11 Let v(g) = -g**3 + 5*g**2 - 6*g + 2. Let u be v(4). Let a be (u/(-5))/(6/180). Suppose -a = 3*x - 6*x. List the prime factors of x. 2, 3 Suppose 5*t + g + 2*g - 35 = 0, t - 5*g - 35 = 0. Suppose 3*x + t = -5, 4*x = 3*q - 32. What are the prime factors of (0 + 18)*2/q? 3 Let o be (-40)/12 - (-4)/3. Let p be (-2)/3 - (-60)/9. Let q = o + p. List the prime factors of q. 2 Suppose 7*z - 4 = 3*z. Suppose -3*m = -19 + z. What are the prime factors of m? 2, 3 Suppose 0 = 4*c - 0*c - 12. Suppose 36 = c*x - x. What are the prime factors of x? 2, 3 Let m be 3/((-5)/2 - -3). Suppose -3*u = 3*k + m, -u + 4 = 3*k - 0*u. Suppose 0 = -k*s + 7 + 26. List the prime factors of s. 11 Let d(k) = -3*k**3 + 2*k + 1. Let v be d(-1). Suppose 8*c + v*h - 26 = 3*c, 0 = 3*h - 9. Let w = 0 + c. What are the prime factors of w? 2 Let q = -11 - -18. What are the prime factors of q? 7 Suppose 16 - 373 = -3*v. What are the prime factors of v? 7, 17 Let n(t) be the second derivative of -1/12*t**4 - 2*t**3 + 3*t - 15/2*t**2 + 0. What are the prime factors of n(-10)? 5 Suppose 2*n = 4*n - 12. List the prime factors of (1 - -2)*56/n. 2, 7 Let l(a) be the first derivative of -a**4/2 - 4*a**3/3 - 3*a**2/2 - a + 3. What are the prime factors of l(-2)? 5 What are the prime factors of 2/7 - 427/(-49)? 3 Let h be (-6)/(-33) + (-1420)/(-55). Suppose 3*u - u = h. List the prime factors of u. 13 Let v be 1 - (4/(-1) - -3). Suppose 3*a - 115 = -v*a. List the prime factors of a. 23 Suppose -y - 9 = k, -5*k + y - 75 = -0*k. Let j = k + 23. List the prime factors of j. 3 Let v = 4 + -6. List the prime factors of (-1 - (v - 2)) + 1. 2 Let a(m) be the second derivative of m**3/6 + m**2/2 - 2*m. Let k be a(0). Suppose 8 = 2*o - p, 5*o + 2*p = k + 10. List the prime factors of o. 3 Let x = -1 + -28. Let t = 47 + x. List the prime factors of t. 2, 3 Let g = -6 + 5. Suppose 6*q = 2*q + 20. Let o = q + g. List the prime factors of o. 2 Suppose 0 = -0*o - 3*o. Suppose 5*j - j = o. Suppose -2*w + 34 = -j*w. What are the prime factors of w? 17 Suppose -3*y + 827 = -34. List the prime factors of y. 7, 41 Suppose 74*u - 70*u - 100 = 0. List the prime factors of u. 5 Let s = 0 - -85. List the prime factors of s. 5, 17 Let r(c) = -2*c - 5. Let l be r(-5). Suppose n - l = -x, -x + 0*x + 11 = 3*n. Let j = x - -1. What are the prime factors of j? 3 Suppose -4*x + 106 = -0*x + 2*y, -1 = -y. What are the prime factors of x? 2, 13 Suppose 0 = -3*o - 2*u + 409, o + 2*u - 139 = -0*o. Suppose o + 54 = 3*c. Suppose -2*l - 3 = -5, -c = -4*z - 3*l. List the prime factors of z. 3, 5 Let u(o) be the second derivative of o**4/3 + o**2/2 + 2*o. List the prime factors of u(-2). 17 Let x = -3 + 7. Suppose 4*s = 50 + 42. Suppose b + 4*b - x*y = s, -4*b = -4*y - 20. What are the prime factors of b? 3 Let n be 3 + 10/((-1)/(-1)). Let h = -2 + n. List the prime factors of h. 11 Suppose -2*n = -l - 369, -143 - 43 = -n - l. List the prime factors of n. 5, 37 Let b = -18 - 19. Let u = b - -66. What are the prime factors of u? 29 Suppose 0 = 3*h + 2*s - 178, 141 = 5*h - 4*s - 163. Suppose 3 = -k + 3*m, -4*k - m + 9 - h = 0. Let p = k + 20. What are the prime factors of p? 2 What are the prime factors of (1/((-21)/36))/(4/(-364))? 2, 3, 13 Suppose -4*j = -2*h - 20, 0*h - 8 = -4*j - h. Let i(l) = -l**j - 1 - l + 3*l + 6*l**2 - 2*l - 3*l. List the prime factors of i(5). 3 Suppose 3*v + 2*x - 29 = -1, v - 21 = -3*x. List the prime factors of 136/v*12/8. 2, 17 Suppose 0 = -2*b - 3 + 15. Let m be ((-2)/(-3))/((-4)/b). List the prime factors of m*12/15*-5. 2 Let j = -26 + 26. List the prime factors of 37 + -1*(j - -3). 2, 17 Let x = -7 - -2. Let y = x - -5. Suppose 2*t - 26 = -4*g - y*t, -19 = -4*g + 5*t. List the prime factors of g. 2, 3 Suppose 126 = 2*a + a. Let r = 81 - a. What are the prime factors of r? 3, 13 Suppose 14 + 117 = k. List the prime factors of k. 131 Let x(i) = -i**3 + 6*i**2 + 8*i. Suppose 0*f = f - 7. List the prime factors of x(f). 7 Suppose 0 = -3*m + 27 - 9. What are the prime factors of ((-4)/m)/(1/(-12))? 2 Suppose -2*w - w + 3 = 2*t, 2*t = 2*w - 2. Let m = 9 + t. What are the prime factors of m? 3 Let d(w) = -w + 14. Let v be d(11). Suppose -n - 12 = -v*n. What are the prime factors of n? 2, 3 Suppose 0 = m + 2*d - 10 - 21, -3*m = -3*d - 75. Let z = 51 - m. List the prime factors of z. 2, 3 Let f = 1 - 14. Let h = f - -17. What are the prime factors of h? 2 Suppose 5*q - 324 = -2*p, q - 2*q = -p - 62. List the prime factors of q. 2 Let y(v) = 15*v - 13. List the prime factors of y(4). 47 Let p = -51 + 111. Suppose -2*a = 3*a - p. List the prime factors of a. 2, 3 Suppose 0*s - 5*s + 605 = 0. List the prime factors of s. 11 Let x be (-943)/9 + 4/(-18). List the prime factors of x/(-10)*2/3. 7 Let i = 34 + 25. What are the prime factors of i? 59 Let g(d) = 3*d**2 + 9*d - 8. Let s(i) = -i**2 - 5*i + 4. Let m(v) = -2*g(v) - 5*s(v). What are the prime factors of m(6)? 2 Let p(c) = c + 14. What are the prime factors of p(0)? 2, 7 Suppose -2*d - 2*b = -190, 3*d + 5*b = d + 205. Suppose f - 3*l - 24 = -5*l, 4*f = -2*l + d. Suppose q - f = -q. List the prime factors of q. 11 Suppose 20 = 4*h, -2*c + 3*h + 1 = -4. List the prime factors of c. 2, 5 Let w(x) = x**3 + 3*x**2 - 4*x + 2. Let n be w(-4). Let o be (2 - (-1 - -3)) + 2. Suppose -j = -o*j - y + 3, -n*y = -j. What are the prime factors of j? 2 Let t = -222 + 421. What are the prime factors of t? 199 Suppose 5*t - 4*i = -6, -5*t + 26 = 7*i - 3*i. Let m(h) = -h + t + 0*h + 6. What are the prime factors of m(6)? 2 Let z(l) = -l**3 + 6*l**2 - 3*l - 2. What are the prime factors of z(4)? 2, 3 Suppose -6*r + 10 = -r. Suppose 0 = -d + 2 + r. Suppose 32 = d*k - 16. What are the prime factors of k? 2, 3 Let m = -24 + 12. Let u = 23 + m. What are the prime factors of u? 11 Let u(w) = -1 + w**2 + 8*w - 1 - 3*w. List the prime factors of u(-8). 2, 11 Let m b
{ "pile_set_name": "DM Mathematics" }
multiple of 425? True Does 2 divide 150792582? True Is 759 a factor of 11092785? True Does 1306 divide 40675447? False Is 63364184 a multiple of 52? True Is 2245652 a multiple of 82? True Is 6 a factor of 14528794? False Is 312567354 a multiple of 831? True Does 182 divide 16062003? False Does 177 divide 3337728? False Does 1806 divide 3335249851? False Does 17 divide 21576757? True Is 15954694 a multiple of 12? False Does 421 divide 480529400? True Is 12755884 a multiple of 671? False Is 25704225 a multiple of 9? True Does 475 divide 151873827? False Does 15 divide 636211780? False Does 2372 divide 559972? False Is 165 a factor of 12255540? True Is 97 a factor of 222367910? False Is 107345213 a multiple of 3? False Does 119 divide 50800505? True Is 224 a factor of 22993572? False Does 46 divide 469593967? False Is 43 a factor of 692507045? True Does 11 divide 33424184? False Does 624 divide 50492845? False Is 2184 a factor of 451437798? False Is 245051379 a multiple of 27? True Does 9 divide 95750748? True Is 12 a factor of 71957517? False Does 7 divide 152523504? True Does 138 divide 46336130? False Is 77645 a multiple of 5? True Is 518120974 a multiple of 2022? False Is 13064571 a multiple of 351? True Does 289 divide 99172988? False Does 25 divide 35427398? False Is 627 a factor of 128227770? True Is 160270084 a multiple of 17? True Is 2716 a factor of 424413024? True Is 12 a factor of 625327194? False Is 44 a factor of 1743488? False Does 4590 divide 104248080? True Is 41089408 a multiple of 25? False Does 2944 divide 10310545? False Does 66 divide 558916120? False Does 1113 divide 3784932354? True Is 23964749 a multiple of 631? True Is 885265890 a multiple of 290? True Does 65 divide 20081165? True Is 3064 a factor of 326229618? False Is 39278786 a multiple of 5525? False Is 135 a factor of 358857675? True Does 148 divide 5409844? True Is 706221739 a multiple of 252? False Does 25 divide 235833277? False Is 16230163 a multiple of 29? False Is 5096644 a multiple of 3812? True Is 142 a factor of 84730128? False Does 330 divide 2948026620? True Is 9598930 a multiple of 55? True Does 51 divide 1733432064? True Is 181335492 a multiple of 9? True Does 10 divide 320660466? False Is 494 a factor of 907526906? True Is 2670 a factor of 573230310? True Does 43 divide 80498408? True Is 115 a factor of 286260875? True Is 188445204 a multiple of 1836? True Is 515 a factor of 77582690? True Does 703 divide 14055079? True Does 200 divide 726259400? True Does 1526 divide 3278455073? False Is 898702298 a multiple of 26? True Is 141 a factor of 173951818? False Does 1601 divide 666528596? False Is 2674 a factor of 187644290? False Does 24 divide 548678640? True Is 507591187 a multiple of 29? False Is 4 a factor of 553493? False Does 2124 divide 329557716? True Is 32251849 a multiple of 241? False Is 7051322 a multiple of 128? False Is 433 a factor of 71063960? True Is 3206184784 a multiple of 116? True Is 161591808 a multiple of 672? True Does 3 divide 36762960? True Is 16 a factor of 21944610? False Is 296442889 a multiple of 2177? False Does 48 divide 3707214096? True Is 881 a factor of 95766462? True Is 2319 a factor of 2982234? True Does 343 divide 80911402? False Does 147 divide 19793151? False Is 17439081 a multiple of 296? False Is 87871422 a multiple of 4126? True Is 4560888 a multiple of 87? True Is 1889 a factor of 381148029? False Is 291900 a multiple of 28? True Is 3202 a factor of 293031030? True Is 370 a factor of 83170504? False Does 3347 divide 11101999? True Does 2400 divide 30208382? False Is 3 a factor of 351186? True Is 298 a factor of 195034412? False Is 3 a factor of 38833811? False Is 134410336 a multiple of 755? False Is 1006146354 a multiple of 95? False Does 465 divide 236046090? True Is 215061242 a multiple of 13? False Is 1537 a factor of 172657358? True Is 3084973 a multiple of 198? False Is 63 a factor of 2451910293? True Is 17 a factor of 101995495? True Is 2 a factor of 104182? True Does 153 divide 23314351? False Is 28673411 a multiple of 7? False Is 142 a factor of 35633622? True Is 4888 a factor of 723277849? False Is 1182316878 a multiple of 44? False Is 858 a factor of 284244246? True Is 38 a factor of 1080294? False Is 753 a factor of 252768763? False Is 50 a factor of 30166549? False Is 210744092 a multiple of 2353? True Is 10 a factor of 21023473? False Is 44074810 a multiple of 197? True Is 59830320 a multiple of 528? True Is 90334994 a multiple of 17? False Does 56 divide 31314192? True Is 29473486 a multiple of 133? False Is 61 a factor of 538933205? False Is 19 a factor of 5838775837? False Is 1723220800 a multiple of 8? True Is 10268133 a multiple of 392? False Is 1000063267 a multiple of 43? False Does 95 divide 31663996? False Is 17 a factor of 24592540? True Does 38 divide 1066457992? True Is 421235859 a multiple of 10? False Is 917248051 a multiple of 43? False Is 68364714 a multiple of 18? False Is 40 a factor of 206291034? False Does 2 divide 3874725? False Is 799 a factor of 1036792787? True Is 17595582 a multiple of 165? False Is 381 a factor of 186631326? True Is 36 a factor of 65837520? True Is 158 a factor of 3181140? False Is 484127195 a multiple of 39? False Does 131 divide 904273? False Does 1608 divide 523257672? True Does 119 divide 34872117? True Does 2 divide 94887318? True Is 3 a factor of 467322980? False Is 633440535 a multiple of 13? True Is 1172 a factor of 242896274? False Is 407 a factor of 18325989? True Does 527 divide 48686368? True Is 20 a factor of 373963320? True Is 32 a factor of 16755078? False Is 600 a factor of 485873089? False Is 239948623 a multiple of 929? True Does 4 divide 49280124? True Does 33 divide 6251427? False Is 783 a factor of 17704323? False Is 58 a factor of 8637418? True Is 483 a factor of 9086690? False Is 2189811 a multiple of 2394? False Is 57 a factor of 22006161? True Is 21881516 a multiple of 878? True Is 3 a factor of 168445572? True Does 207 divide 4729918? False Does 20 divide 254368000? True Is 91 a factor of 169613353? True Is 16269773 a multiple of 5? False Is 3400 a factor of 259260200? True Is 230 a factor of 35051080? True Is 108185757 a multiple of 61? True Is 3 a factor of 1009235329? False Is 37 a factor of 41072174? False Does 482 divide 370002? False Does 3803 divide 69752569? False Does 165 divide 2132039745? True Is 96 a factor of 380504217? False Is 5630014 a multiple of 79? True Does 404 divide 221244540? True Is 988 a factor of 9529260? True Is 784 a factor of 17599232? True Is 1033060 a multiple of 940? True Is 849 a factor of 595235598? True Does 328 divide 94649711? False Is 22317694 a multiple of 132? False Does 190 divide 77852460? False Does 550 divide 880368500? True Is 401533209 a multiple of 4323? True Is 4005698 a multiple of 157? True Is 15 a factor of 32112540? True Is 19 a factor of 4947239? True Is 30010705 a multiple of 181? True Is 1226 a factor of 203589560? True Is 12 a factor of 250540134? False Does 4533 divide 698145462? True Is 32046701 a multiple of 187? False Is 70707602 a multiple of 13643? False Is 4 a factor of 132348448? True Is 92150456 a multiple of 333? False Is 2015478431 a multiple of 23? True Is 94503711 a multiple of 82? False Does 48 divide 2324509536? True Is 7537884 a multiple of 311? False Does 1668 divide 191855028? True Does 1948 divide 989400888? True Is 1208 a factor of 219837880? True Is 73092020 a multiple of 12? False Is 45451025 a multiple of 2084? False Is 372 a factor of 42584328? True Does 22 divide 43116370? True Is 11 a factor of 1501213670? True Does 2011 divide 305778583? True Is 34 a factor of 733430966? True Is 163472850 a multiple of 17? True Is 3 a factor of 70271800? False Is 158 a factor of 489601347? False Does 47 divide 77555516? False Is 8154270 a multiple of 810? True Does 11 divide 452829146? True Is 184 a factor of 16411141? False Does 526 divide 40283184? True Is 2 a factor of 5529600? True Is 1754403429 a multiple of 103? True Is 38 a factor of 615795803? False Does 1606 divide 3017674? True Does 4590 divide 855359587? False Is 1056954266 a multiple of 2371? False Does 51 divide 7630773? True Does 212 divide 8786552? True Does 199 divide 18718478? False Does 452 di
{ "pile_set_name": "DM Mathematics" }
42816*q + 180 What is the third derivative of 2*a**4 - 29837094*a**3 + a**2 + 3039501*a + 3 wrt a? 48*a - 179022564 Find the second derivative of -234730335*b**3 - 704848313*b wrt b. -1408382010*b Find the second derivative of -201*b**3 - 12109*b**2 - 5897*b - 173 wrt b. -1206*b - 24218 What is the second derivative of -134*o**3*r**4 + 4*o**3 - 6008*o**2*r + o + 57244*r**5 + 3*r - 2 wrt r? -1608*o**3*r**2 + 1144880*r**3 What is the first derivative of -40*k**2*y - 4*k**2 + 13*k*y - 4885865*k - 60746*y wrt y? -40*k**2 + 13*k - 60746 What is the second derivative of 15582916*g**2 + 138584436*g wrt g? 31165832 What is the third derivative of 707210333*p**3 - 10*p**2 + 45553*p + 41? 4243261998 What is the first derivative of 1405*v**3 + 2717*v**2 + 5927352? 4215*v**2 + 5434*v What is the first derivative of 32749401*j**2 + 16932028 wrt j? 65498802*j Differentiate 83160177*i + 9301893 wrt i. 83160177 What is the derivative of 33185437*l - 8565957 wrt l? 33185437 What is the second derivative of -p**2*t**2 - 3169*p**2*t + 34*p**2 - 28441110*p*t**2 + 4*p*t + p + 3*t - 1 wrt t? -2*p**2 - 56882220*p Find the second derivative of 87*n*u**2 + 211*n*u - 100*n - 46636*u**2 + 2*u wrt u. 174*n - 93272 Find the first derivative of 6785118*b**4*p**2 - 10913519*p**2 wrt b. 27140472*b**3*p**2 Find the third derivative of -200*a**6 + 1728*a**4*i + 80*a**3 - 1411*a**2*i - 111*a**2 + 14*i wrt a. -24000*a**3 + 41472*a*i + 480 Differentiate 513*h**2*s + 2*h**2 - 1664*h*s - 3226671*s with respect to h. 1026*h*s + 4*h - 1664*s What is the third derivative of 3*b*y**3 - 1143180*b*y**2 + 17*b*y + 18727793*y**3 wrt y? 18*b + 112366758 Find the second derivative of -1004610*w**3 - w**2 + 6870290*w wrt w. -6027660*w - 2 Find the second derivative of 53187426*v**3 - 17897276*v. 319124556*v Differentiate z**3 + 23*z**2 - 50550*z + 12200349 with respect to z. 3*z**2 + 46*z - 50550 What is the second derivative of 529*b**2*d + 398*b**2 + 30*b*d + 120020*b wrt b? 1058*d + 796 What is the third derivative of 11*v**5 + 2352501*v**4 - 1919445*v**2 - 2*v wrt v? 660*v**2 + 56460024*v What is the second derivative of 18897301*r**3 - 44464807*r? 113383806*r Find the third derivative of 6552213*r**4 - 5729*r**2 - 2*r + 34. 157253112*r Find the second derivative of 12897*w**2*z**3 - w**2*z**2 - 8935*w**2*z + 235*w**2 + 42*w*z**2 wrt z. 77382*w**2*z - 2*w**2 + 84*w What is the first derivative of 14190926*r + 638029? 14190926 Find the second derivative of 30870265*d**3 + 2*d + 7981849. 185221590*d Find the second derivative of -22*r**3 - 46132*r**2 - 12867302*r + 9. -132*r - 92264 Find the first derivative of -14573750*c**2 + 2*c - 86869241. -29147500*c + 2 What is the second derivative of -29844844*s**2*t*z + 306*s*t*z - 16*s*t + 56*s wrt s? -59689688*t*z Differentiate 17823701*y**3 - 200883372 with respect to y. 53471103*y**2 Find the third derivative of -350755887*a**3 - 86*a**2 - 15785*a - 19 wrt a. -2104535322 Find the third derivative of 2*s**6 + 93*s**4 + 4744*s**3 - 7908*s**2 + 5*s - 458. 240*s**3 + 2232*s + 28464 Find the second derivative of 26*z**3 - 205918*z**2 + 15730635*z wrt z. 156*z - 411836 Find the second derivative of 541023*c**3 - 268*c**2 - 2*c - 40155601 wrt c. 3246138*c - 536 What is the derivative of 1208137*b*w**2 + 2*b - 152*w**2 + 5911*w wrt b? 1208137*w**2 + 2 Find the second derivative of 11310830*g*o**2 - 331*g*o - g + 1851 wrt o. 22621660*g What is the third derivative of 388*p**3*x**3 + 31381294*p**3 - p**2*x**2 + 24196*x**5 + 3 wrt x? 2328*p**3 + 1451760*x**2 What is the second derivative of -85351*g**3*v**3 + 3*g**3 + 32*g**2 - 68*g*v**3 + 244*g*v**2 - 3*v**3 + v**2 + 5*v wrt g? -512106*g*v**3 + 18*g + 64 What is the derivative of -15822*g**3 - 145*g**2 + 14*g + 149580352 wrt g? -47466*g**2 - 290*g + 14 What is the third derivative of 15*h**2*z**5 - 223*h**2*z**2 - 6120*h**2*z + 428456*z**5 wrt z? 900*h**2*z**2 + 25707360*z**2 Find the first derivative of 484077572*u*v - 78646332*v wrt u. 484077572*v Differentiate -1012*q**2*z**2 + 159725*q*z**3 + 218*z**3 - z**2 - 2*z - 68685 wrt q. -2024*q*z**2 + 159725*z**3 What is the second derivative of -262*f**5 + 2*f**4 - 30897*f**2 + 2*f + 104767518 wrt f? -5240*f**3 + 24*f**2 - 61794 Find the third derivative of -18*c**5 + 12174*c**4 + 3*c**3 - 5477085*c**2. -1080*c**2 + 292176*c + 18 What is the third derivative of -3396*l**4 + 1688*l**3 - 9947205*l**2 wrt l? -81504*l + 10128 What is the second derivative of 2865642*l**2 + 3*l - 2059412? 5731284 What is the second derivative of 2676*k**2*l + 1225*k**2 - k*l + 19*k - 2559*l + 2 wrt k? 5352*l + 2450 What is the second derivative of 16859685*i**2 + 181588*i + 8? 33719370 Find the second derivative of -45*a*i*z**2 + 212*a*i*z + 697*a*i + 7057309*a*z**2 + a - 4*i*z - 103*i wrt z. -90*a*i + 14114618*a What is the first derivative of -144552*o**2 + 95*o - 26580117? -289104*o + 95 Find the first derivative of -8415744*z**3 - 39109991 wrt z. -25247232*z**2 What is the first derivative of 4617*r*v**2 - 18*r - 32*v**3 + v**2 + 12*v + 10390391 wrt v? 9234*r*v - 96*v**2 + 2*v + 12 What is the second derivative of -2*d**2*i**3 + 35512654*d**2*i**2 + d**2 - 2525*d*i + d + 4*i + 2 wrt i? -12*d**2*i + 71025308*d**2 Differentiate -82*c*l**3*n + 39*c*l**3 + c*l**2 + 279*c*l + 219093*c*n**2 + 5*l**3 + 9 wrt n. -82*c*l**3 + 438186*c*n Find the second derivative of -715*l**3 - 18209*l**2*u**3 + 10*l**2*u*y + 7*l*u**3*y + l*u**3 + 448*l*u**2*y - 550*l - 3*u*y wrt l. -4290*l - 36418*u**3 + 20*u*y What is the third derivative of 3*c*d*q**3 + 13*c*d*q - 2*c*q**3 + 2*c*q**2 + 4272*c*q - c - 2*d*q**3 + 4*d*q + 33707*q**3 + q**2 wrt q? 18*c*d - 12*c - 12*d + 202242 Find the third derivative of -54360948*j**5 + 2*j**4 - 142282643*j**2 wrt j. -3261656880*j**2 + 48*j What is the derivative of 17055*t**2*y - 6282*t**2 - 2*t + 1276718656*y wrt t? 34110*t*y - 12564*t - 2 What is the derivative of 1149*b**2 + 38*b*n + 111214*n wrt b? 2298*b + 38*n What is the first derivative of -13475371*h**2 + 11159155 wrt h? -26950742*h What is the derivative of 196686*j**2 + 330*j + 1916382? 393372*j + 330 Find the third derivative of -194051363*w**5 + 125634192*w**2 wrt w. -11643081780*w**2 Differentiate -96491896*a*b**2 + 47158161*b**2 with respect to a. -96491896*b**2 What is the third derivative of -390185*r**4*t + 4*r**4 + 36*r**3*t - r**2*t + r**2 - 184*r*t + 124*r - 6*t - 3 wrt r? -9364440*r*t + 96*r + 216*t Find the third derivative of -52043066*x**3 + 7108634*x**2. -312258396 What is the second derivative of -16781655*x**5 + 5292861*x? -335633100*x**3 What is the second derivative of -28095568*a**2 - 53029229*a? -56191136 Find the first derivative of -34*v**4 - 111282*v**3 + 9*v**2 - 255793206 wrt v. -136*v**3 - 333846*v**2 + 18*v What is the third derivative of -101816588*c**4 - 62*c**2 - 13455*c wrt c? -2443598112*c What is the derivative of -2827*v**2 + 332*v + 732540784? -5654*v + 332 What is the third derivative of 648715*z**3 - 2*z**2 - 4981791? 3892290 Find the second derivative of -1045312483*p**2 + 13601574*p. -2090624966 Find the second derivative of -2*m**4 + 2357*m**3 - 141*m**2 + 13492631*m wrt m. -24*m**2 + 14142*m - 282 What is the second derivative of -353439*t**4 + 119*t**2 + 548288028*t wrt t? -4241268*t**2 + 238 Find the first derivative of -1446*p*t**3 + 28591*p - 373852012*t**3 + t**2 wrt p. -1446*t**3 + 28591 Find the second derivative of 44*r**4 - 1432432*r**3 + 8843794*r - 1. 528*r**2 - 8594592*r What is the derivative of -119610832*c**2 + c + 61941518? -239221664*c + 1 Differentiate 7*d*h**2 - 77401*d + 3393026*h**2 wrt d. 7*h**2 - 77401 What is the second derivative of 47797251*r**3 - 1838834*r wrt r? 286783506*r What is the first derivative of -8606*a**3*t + 27*a**3 + 1158*a**2*t - 14*a**2 + 29920 wrt t? -8606*a**3 + 1158*a**2 Differentiate 8915*o**2*w**2 - 2*o**2*w - 6709*o**2 - 520282659*w**2 wrt o. 17830*o*w**2 - 4*o*w - 13418*o Find the second derivative of -20*i*l**3 - 4*i*l**2 + i*l + 18362*i - 19256*l**3 + 2*l wrt l. -120*i*l - 8*i - 115536*l What is the third derivative of 19761126*v**3 + 17348*v**2 + 17? 118566756 Differentiate f**3*i**3*p - 303*f**3*i**3 + f**3*z + 3*f**3 + 762*f*i**3*z - 7618*f*i - 13224*p*z wrt z. f**3 + 762*f*i**3 - 13224*p Find the second
{ "pile_set_name": "DM Mathematics" }
- -98. What is the common denominator of -89/18 and 4 - (0 - 393/a)? 18 Suppose 0 = 28*o - 30*o - 8. Let t be 1 + 2/o*0. What is the common denominator of 61/4 and 4*35/168 - (t - 0)? 12 Suppose 0 = -26*p + 628 + 906. Suppose -6*r = -p - 49. What is the smallest common multiple of 102 and r? 306 Calculate the smallest common multiple of (551/116 - 2)/((-2)/(-32)) and 1880. 20680 Let f(u) be the second derivative of 9*u**5/20 + 5*u**4/12 - u**3/3 + 3*u**2/2 - 158*u. What is the lowest common multiple of f(3) and 40? 2280 Suppose w = 3*j + 43, 12*w - 13*w + 5*j = -45. Calculate the least common multiple of w and 111 + (-4 - (-8 + 0)). 920 Let y(d) = -d + 1. Suppose 4*o = -1 - 3. Let i(f) = -3*f - 22. Let s(p) = o*i(p) + 6*y(p). What is the least common multiple of 4 and s(0)? 28 Suppose -1776 = -50*j + 13*j. Suppose -242 = -5*r - 2*o, r - 2*o + 194 = 5*r. Calculate the least common multiple of r and j. 48 Let p be (-1393763)/(-252) + 2/8. Let m = -5534 + p. Find the common denominator of 73/4 and m. 36 Let l(b) be the second derivative of b**4/12 + b**3 - b**2/2 - 5*b. Let w be l(-5). Calculate the common denominator of 97/w*2/2 and -53/8. 24 Let p(s) = -28*s**2 - 7*s + 6. Let v be p(-7). Let j = 23693/18 + v. Find the common denominator of j and (-10)/((1216/(-236))/4) - 5. 342 Find the common denominator of (-237)/(-3318)*(-1 + 23/21) and -2/27. 1323 Suppose -z - h + 73 = -6*h, -3*h = z - 33. Let y = 252/17 - 2942/187. Find the common denominator of y and (-226)/(-70)*120/z - 2. 154 Let w be 11100*(6*(-4)/(-16))/(-1). What is the common denominator of 25*15/(w/16) and -71/6? 222 Calculate the smallest common multiple of 2268 and (-20)/((-1500)/3315) + 2/(-10). 24948 Let p = 27825404041477/6205 + -4484351993. Let i = p - -3/2482. What is the common denominator of (-218)/(-12) + (-14)/21 and i? 10 Let o = 3695 - 3688. Let a = -274 + 509. What is the lowest common multiple of a and o? 1645 Let h = -3/88 - -6187/792. Let q = -9613/24 + 398. Find the common denominator of q and h. 72 Let i = 2202 - 52841/24. Find the common denominator of (-1)/(-4) + 305/40 and i. 24 Let n = 243 - 240. Calculate the common denominator of (440/(-128))/((-69)/(-6) - n) and -91/2. 136 Let p = -52683725365449/24080 - -2187862354. Let f = p + 3/3010. Find the common denominator of f and -61/30. 240 Let r = -10367/3 - -3491. Let y = r + -34. What is the common denominator of y and -37/45? 45 Suppose -n = -2*f - 1098, 4*n + 26*f = 24*f + 4332. What is the lowest common multiple of 2896 and n? 8688 Suppose -3*c + 4*f = 3*f - 11, 5*f = 5. Suppose -2*p = -5*a - 69, p + 4*a + c = 6. Calculate the least common multiple of (132/(-77))/(2/(-7)) and p. 66 Suppose -i = -3093*f + 3098*f + 28, -4*f - 30 = -3*i. Let k(c) = 3*c**3 - 3*c**2 + c + 2. What is the smallest common multiple of k(2) and i? 16 Let t = 480/1501 + 71629/6004. Find the common denominator of (146/6)/(8/(-3)) and t. 8 Let w(g) = 117*g + 24. Let h(r) = -9*r - 2. Let f(j) = 27*h(j) + 2*w(j). What is the smallest common multiple of f(-1) and 11? 33 Let r(t) = -40*t + 406. Let l be r(-8). Let d = l + -696. What is the least common multiple of d and 50? 150 Suppose b - 4 = -a, a = 3*b + 2*a - 12. Suppose -f + b*f = 5*q + 165, -f = q - 47. What is the lowest common multiple of f and 1? 50 Let o(l) = 412*l + 3299. What is the smallest common multiple of 56 and o(-5)? 9912 Let h = 40 - 29. Let f(x) = x**2 + 153*x - 7822. What is the lowest common multiple of f(41) and h? 132 Let x(r) = r**3 - 70*r**2 + 1234*r + 53. Calculate the lowest common multiple of x(40) and 628. 5652 What is the common denominator of (4 + 634/(-240))*(20 - 21) and -7/4610? 55320 Calculate the smallest common multiple of ((-1)/(10/108))/(40 - 75247/1880) and 1080. 2160 Suppose 5*o + 3 = 28. Suppose u = -3*l + 2, 7 = 3*l + o*u - 3*u. Calculate the smallest common multiple of (6 - -3) + l - 4 and 22. 44 Suppose -5*g - 2 = -4*i, 853*g - 856*g + 4*i = 6. What is the smallest common multiple of 708 and g? 708 Let r be -10 - (-4 + (-4)/(2 - 0)). Suppose 5*z = -5*x + 70, 0*z - 2*x + 58 = 4*z. Find the common denominator of 158/r*(z/6 - 2) and -63/20. 20 Let c(o) = 103*o**3 + 7*o**2 - 14*o + 2. Calculate the smallest common multiple of c(3) and 12. 8412 Let x be 7751/12 + 2/(-3). Let r(g) = g**3 - 17*g**2 - 5*g + 34. Let i be r(14). Let m = x + i. Find the common denominator of -27/20 and m. 20 What is the lowest common multiple of 7*-1 - (-52)/(728/22638) and 50? 8050 Let r be 344/4*(-6)/1. Let j be ((-14)/32)/(9/r). Let d = j - 87/4. Calculate the common denominator of d and 48/5. 15 Let c(i) = -i**2 - 3*i + 65. Let v be c(8). Calculate the common denominator of -12*11/(-33)*13/v and -83/12. 276 Let q = -136416023/36 + 3789676. Let f = q - 342. What is the common denominator of -61/48 and f? 144 Calculate the common denominator of 1/18 and (-15165)/108*15/1150 - 6/(-4). 1656 Suppose -3*o = -0*o - 15. Suppose 3*h - 20 = -500. Let u = h + 163. Calculate the least common multiple of o and u. 15 Let a(t) = t**2 - 4*t + 5. Let c be a(6). Let w = 34 - c. What is the lowest common multiple of w and 1*(-62)/6*-1 + 652/(-1956)? 170 Suppose 7*a - 470 + 120 = 0. Calculate the lowest common multiple of a and 20. 100 Let x = 356602 - 30310773/85. Let t = 8/17 - x. What is the common denominator of t and -6? 5 Let m = 872314251/32 + -27263387. Let k = m - -3567. What is the common denominator of k and 274/(-36)*(-3)/(-2)? 96 Let b(d) = 20 + 3*d - 2*d + 0*d. Suppose 1 = -2*t + 5. What is the lowest common multiple of 16 and b(t)? 176 Let s = -249 - -253. Let i = 59 - 8. What is the least common multiple of s and i? 204 Let b = 28508 + -28428. Calculate the least common multiple of 400 and b. 400 Let m = 191 + -149. Let r = -28 + m. What is the lowest common multiple of r and 5? 70 Let q = -245 - -261. Let r = -54 - -70. What is the smallest common multiple of r and q? 16 Suppose -585 = 13*w + 26*w. Calculate the common denominator of 37/54 and ((-1)/w)/((-1365)/(-1625)). 378 Suppose -4*s = 3*b + 500, s = 3*s - 4*b + 272. Let i be (2 - 1)*1 - s/(-1). Let u = i - -190. What is the smallest common multiple of 4 and u? 252 Suppose -2*t = -190*c + 194*c - 18, 3*c - 5*t - 33 = 0. What is the lowest common multiple of c and 33? 66 Calculate the common denominator of (-28)/(-7) + (6 - 5)*(-1334)/240 and -73/288. 1440 Suppose 18*a - 14*a = 2220. Let q = -511 + a. What is the least common multiple of 18 and q? 396 Let n = 2099 + -1334. Calculate the common denominator of -39/2 and (-1044)/n - (-2)/20. 34 Let h = -590/7 - -537/7. What is the common denominator of h and 16/197? 1379 What is the lowest common multiple of 1096 and 108*(22/(-6) - (9 + -8)*-5)? 19728 Let u = -7 + 12. Suppose -48 = -u*c - 3. Suppose 149*h - 234*h + 2805 = 0. Calculate the least common multiple of c and h. 99 Let f be (37 + -51)*190/4. Let d = -561 - f. What is the least common multiple of d and 117? 936 Suppose 0 = u - 4*j - 398, 5*j + 1159 = -2*u + 5*u. Calculate the least common multiple of u and 108. 756 Suppose -2*q + 30 = 10. Suppose -76*w + 37760 = 99*w + 145*w. Calculate the lowest common multiple of q and w. 590 Suppose 0 = -548*u + 557*u - 990. What is the least common multiple of u and 22? 110 Suppose -17*g + 14*g - 5*l + 12974 = 0, 0 = -3*l - 15. Let j = 95301/22 - g. Find the common denominator of 5/18 and j. 198 Suppose 2*w = -6*w - 1512. Let f = -274 - w. What is the common denominator of ((-273)/(-20))/((-102)/f) and 173/30? 120 Suppose 13 = -2*m + 109. Suppose 4*y - m = -4*c, y = 3*c - 5*c + 12. What is the smallest common multiple of y and 66? 132 Let v be (95/(-57))/((-10)/36). Find the common denominator of 5/874 and v/18 + 3091/132. 1748 Calculate the lowest common multiple of 860/(-1290) + 28/6 and 4520. 4520 Let y(p) = 9*p + 9. Let b(r) = -3*r + 56. Let j be b(18). What is the lowest common multiple of y(j) and 9? 27 What is the smallest common multiple of 2635 and -3 + 1109 - (104 - 83)? 18445 Let n = -13 + 21. Let f(y) = 90*y + 4242. Calculate the smallest common multiple of f(-47) and n. 24 Suppose -44*q - 108 = -45*q. Let c(z) = 3*z**3 + 5*z**2 - 2*z - 12. What is the lowest common multiple of c(3) and q? 108 Let q(z) = z**3 - 25*z**2 + 22*z + 38. Let p be q(24). Find the
{ "pile_set_name": "DM Mathematics" }
lue in -0.4, 8, v? -0.4 Suppose -4*z - 162*j + 160*j = 30, -2*z - 2*j = 14. Suppose -3*s = -0*s. What is the smallest value in 2, s, z? z Let s = -1 + 0.9. Let a(l) = -l**2 + 95*l - 1197. Let i be a(15). What is the second smallest value in s, 43, i? i Let r(p) = -p - 5. Let l be r(-9). Let m = 18 + -19. What is the biggest value in m, 6/23, l? l Let p = -875 - -6127/7. What is the second smallest value in -3/26, p, 1/5? 1/5 Suppose 0*z - z + 18 = 0. Let f be 4/(-18) + 2/z. Suppose -2 = 4*o + 4*v + 14, 2*v = 4*v. Which is the second biggest value? (a) o (b) f (c) -5 a Let h be (2/(-3))/(4/(-6)). Let j be ((-3)/9)/((-10792)/684)*4/(-3). Which is the fourth biggest value? (a) h (b) j (c) -0.5 (d) -1/4 c Let i be ((0/(-1))/2)/2. Let r = -1279/45 - -254/9. Which is the biggest value? (a) 1/15 (b) i (c) r a Let p = 23733861/68 - 698109/2. Let s be -101*2/8 + -2. Let o = s - p. What is the third biggest value in o, -5, -2? -5 Let u = 0.7 - 2.7. Let t = 0.2 - 0.5. What is the third smallest value in -2/7, t, u, 1/4? -2/7 Suppose 0 = 5*q + b + 23, 2 - 11 = 3*b. Let d be (-4)/q*(-2)/(-10). Suppose 12 = v - 2*g, 0*v + 5*g = 4*v - 33. What is the smallest value in v, -0.1, d? -0.1 Let d = -12 + 49/4. Let j = -218.9 + 219. Which is the second biggest value? (a) 2 (b) d (c) j b Let l = 99 + -89. Let c be l/1360 - (-1)/(-8). Let m = -10 - -14. What is the third smallest value in m, c, -6/11? m Let v = 40 + -33. Suppose -3*f + 16 = -v*f. Let r = -0.4 - -0.1. Which is the third biggest value? (a) 0.1 (b) f (c) r b Let x = 3 + -1.7. Let r = x + -0.3. Let j be 4 - (-22 - -19 - (-4 + -1)). Which is the smallest value? (a) r (b) j (c) 0.4 c Let n = -0.14 + -26.86. Let m = n - -25. What is the biggest value in -1, -0.4, m? -0.4 Let t = -42 - -43.7. Let q = t + -1.8. Let p(w) = -w - 2. Let x be p(-5). What is the third smallest value in x, q, 4/7? x Let s be (-72)/(-280) + 3*(-4)/30. What is the fourth smallest value in 0.5, -1/8, s, -3? 0.5 Suppose -3*t - p + 84293 = -8*t, -2*p = 2*t + 33710. Let m = 151882/9 + t. Let s = -1174/63 + m. Which is the second biggest value? (a) s (b) 0.2 (c) -5 a Let w = 2 - 0. Let p = -22.5 - -22.7. Which is the second biggest value? (a) p (b) w (c) 0.5 c Let d = 28.3 + -28. Let t = 5/2 - 13/4. What is the second smallest value in 1, 5, t, d? d Let p = 3.85 - 4.35. What is the third smallest value in -1, p, -0.1, -3? p Let w be 4 - 2 - 123/(-8). Let a = w - 17. Let j = 0.1 - 1.1. What is the smallest value in a, j, -1/3? j Let z(t) = -t**3 - 10*t**2 + 12*t - 13. Let j be z(-11). Let g = j - -1. Let f = g - -19. What is the biggest value in f, 0, -2/19? 0 Let l = 0.71 - 0.21. Let o = -0.18 + 0.08. Let k = 1.9 - o. Which is the smallest value? (a) k (b) -5 (c) l b Let j = 1.085 + 6.985. Let s = 8 - j. Let p = -0.13 + s. Which is the smallest value? (a) -9 (b) p (c) 4 a Let m = -48 - -48.37. Let z = -0.2 + m. Let j = z + 0.23. Which is the smallest value? (a) 4/5 (b) -0.1 (c) j b Suppose m - 6 - 51 = 0. Let s = m + -53. Let v = -1.9 + -0.1. What is the biggest value in v, s, 1? s Let h = -9027.6 - -9028. Let l be (-2)/(-8) + 3/36. Which is the smallest value? (a) -8/7 (b) 0 (c) l (d) h a Suppose 4*g + 4*m = 24, -4*m = 2*g + 3*g - 26. Suppose -q + g*q = -5. Let c = -17 + 17.1. What is the third biggest value in 3/5, q, c? q Suppose 2*o - 172 = -0*o. Suppose 0*x - 4*x - 2*d = -o, -3*x + 3*d = -78. Which is the smallest value? (a) -2/3 (b) 0.3 (c) x a Let o = -42.971 - -43. Let w = 0.079 - o. Which is the second biggest value? (a) -1 (b) -0.1 (c) w b Let i(q) be the second derivative of -q**3/3 - 3*q. Let v be i(-2). Suppose w = v*p - 11, -3*w + 4*w - p = 1. What is the third smallest value in -5, -0.05, w? w Let p be 8*1/2 + (-23)/5. Let i = 18 - 17. What is the smallest value in -2/11, p, i, 0.4? p Let n = 481 - 486. Which is the second biggest value? (a) n (b) -2/3 (c) -9 (d) 0 b Let h = -82.5 + 82. Suppose 0 + 6 = -2*v. Let z be (2/v)/(6/15). Which is the third biggest value? (a) 1 (b) z (c) h b Let p = 141 + -141.3. Let s = 0.027 - 33.027. Which is the smallest value? (a) p (b) -1 (c) s c Let h = 4055/3 - 1351. Let s = -0.6 + 1. What is the third smallest value in h, s, 5? 5 Let s = -7 - -12. Let n = 8 - s. Which is the second biggest value? (a) 0.5 (b) n (c) 2 c Let n = 57 + -38. Let f = 19 - n. What is the second biggest value in -3, f, -6/5, 2/9? f Let l = -5/44 - -201/220. What is the second smallest value in l, -1, 2.7? l Let x = 4.5 + -1.5. Which is the second smallest value? (a) x (b) -4 (c) 62 a Let v = -142 + 143. Which is the third biggest value? (a) 0.3 (b) v (c) -15 (d) -1/3 d Let j be ((105/28)/(-15))/(6/(-8)). Let g = -528 + 6860/13. Let f = 33 + -100/3. Which is the third smallest value? (a) j (b) f (c) g a Let y be (-2)/4*1/3. Let w(c) = 2*c**3 + 9*c**2 - 38*c - 18. Let t be w(-7). What is the second biggest value in t, 1, y? 1 Suppose -i + 75684 = i. Let h = i + -227549/6. Let v = h - -83. Which is the second smallest value? (a) 0.3 (b) 1/2 (c) v a Let d = -282 + 277. What is the third smallest value in d, -1, 2/9? 2/9 Let i = 52 + -52. Which is the fourth smallest value? (a) -0.5 (b) -3/4 (c) 2/5 (d) i c Let s = 820/9 + -91. Let x be ((-6)/(-18))/(6/8). Let f = x - s. Which is the smallest value? (a) -1/4 (b) f (c) 10 a Suppose -18*x = -34*x + 15*x. What is the third biggest value in x, -53, -0.5? -53 Let d(t) = -t + 8. Let g be d(4). Let y = 0 - -2. Let o = y - -1. Which is the biggest value? (a) 0.2 (b) o (c) g c Let v = -37.1 + 37.5. Which is the second smallest value? (a) -2 (b) v (c) 15/7 b Suppose -7*o = -2*o + 5*t + 1870, 3*o - 5*t = -1114. Let v = o + 2993/8. Let z = 101/104 - v. Which is the second biggest value? (a) z (b) -0.4 (c) 3 a Let s = -0.012 + -2.688. Let x = s + 2.3. Let o(f) = -3*f + 7. Let u be o(4). Which is the third smallest value? (a) -2/3 (b) u (c) x c Let p = -0.64 + 0.14. Let g = 1120 - 1125. Which is the smallest value? (a) p (b) g (c) -39 c Let r = -119 - -146. Suppose 15 - r = -6*o. Let k(v) = 4*v**2 - v. Let g be k(1). What is the third biggest value in -2, g, o? -2 Let z(n) = -n**3 - 10*n**2 + 10*n - 16. Let f be z(-11). Let l = -7.2 - -9. Let m = 1.4 - l. Which is the second biggest value? (a) f (b) m (c) -4 c Let y = -27.4 - -28.1. Suppose -2*w = -6*j + 2*j, -j = w. What is the third biggest value in -2, y, w? -2 Let l = -2 - -2.1. Let y = -21.9 + -2.1. Let m = -21 - y. Which is the second smallest value? (a) l (b) m (c) -0.2 a Let r(p) = 4*p**2 - 3*p + 3. Let f be r(2). Suppose 5*t - f = -3*k, 9*t = -5*k + 5*t. Which is the biggest value? (a) 5 (b) -2 (c) 0.1 (d) k a Let w = -1351 - -1214.4. Let x = w - -137. What is the third smallest value in -0.4, -0.07, x? x Suppose -352 = -v - 434. Which is the second smallest value? (a) v (b) 0 (c) 3 b Let u = 60 - 60.2. Let x = -28 + 20. Which is the second smallest value? (a) u (b) 0.2 (c) -5 (d) x c Suppose 4*r - 5*r - 3 = 0. Let b be 9 + -3 + -31 + 6. What is the biggest value in b, r, 2/5? 2/5 Let g(f) = f**2 + 78*f + 370. Let u be g(-5). Which is the smallest value? (a) u (b) -55 (c) -3/5 b Let q = -3.4 + -0.6. Let k = -4.2 + 3.7. Which is the biggest value? (a) q (b) k (c) 4 c Let l = 7 - 6. Let u = -157661433/1398613579 + -21/3436397. Let g = -2/407 + u. Which is the smallest value? (a) -2 (b) g (c) l a Let k be ((-44)/(-24))/11*(-9)/4. Which is the fourth smallest value? (a) 4 (b) 1/3 (c) 0.2 (d) k a Let f = -108.2 - -9. What is the second biggest value in f, 4, -0.3? -0.3 Let q be (-3)/(((-15)/10)/3). Let y be q/15 + 3/105. What is the biggest value in y, 2/9, 3/4? 3/4 Let f be 12/40*1/3. Let b = 411 + -417. What is the third smallest value in b, 0.4, -1, f? f Let j = -37/45 + 3/5. What is the third smallest value in 0.5, 0.07, j? 0.5 Let j = 1 + -2. Let c = -6.98 - -4.98. What is the third smallest value in 2/11, c, j? 2/11 Let x be 539/(-98) + (-2)/(-4). Which is the second biggest value? (a) x (b) 4 (c) 0.8 c Suppose -905*q - 4 = -906*q. Which is the smallest value? (a) q (b) -0.5 (c) 5 (d) -2/15 b Let i = 1792.3 + -1792. Which is the fourth biggest value? (a) 2/11 (b) i (c) 2 (d) -4 d Let c be
{ "pile_set_name": "DM Mathematics" }
3 = 0 for h. 1 Suppose -2*y = -3*x + 9, 0*x = -4*y - 3*x + 27. Let k(v) = v**2 + 3. Let p be k(0). Solve -5*b - 10 = -3*r, p*b + y = -2*r - 22 for b. -5 Suppose 0 = -5*g - 3*i + 27, -3*g - 4*i = -3*i - 17. Solve y + y = -2*x + g, -y = 2*x - 5 for y. 1 Suppose 5*f + 21 = 81. Let m(c) = -c**3 - 4*c**2 + 2. Let t be m(-4). Suppose 0*k = -t*k + f. Solve -4*r + j = 7, 5*j - k = 5*r + j for r. -2 Let r(s) = s**2 - s. Let p be r(2). Suppose -3*q = n, 4*q = p*n + q - 9. Let z = -2 - -5. Solve 8*y - 4*w - 1 = n*y, -y - z = -4*w for y. 1 Let v be (-3 + 4)*(-1 + 6). Solve 34 + 6 = 3*y + v*x, y - 3*x = -10 for y. 5 Let l(d) = -d + 11. Let y be l(7). Suppose -5*r + q = 58, r + 5*q = -0*r - 22. Let a be 14/y*r/(-21). Solve 0*g - g = 5*p + 21, -p + a*g = 13 for p. -5 Let p be (2 + 0/(-4))*2. Solve 0 = -7*r + p*r - 15, 0 = 2*g - 2*r - 14 for g. 2 Let g(m) = m**3 - 10*m**2 - 12*m + 14. Let f be g(11). Solve -4*n - 26 = f*b - 3, 3*n + 13 = 2*b for b. -1 Suppose -25 = 5*m - 4*u - u, -5*m - u = 7. Let j = 5 + m. Suppose j*w - 6*w + 9 = 0. Solve 3*a = -3*v - 15, -3*v - 9 + 0 = -w*a for a. -1 Let h = 45 - 45. Solve -4*z = 3*m - 9, -4*m + 5*z = -h*z - 12 for m. 3 Suppose -y = 1 + 4, 3*y = 4*j - 35. Solve -2*w - t - 5 = -j*w, 4*w - 2*t - 6 = 0 for w. 2 Suppose 34*s = 30*s + 12. Solve 5*p = 2*p - s*w, -5*p = 3*w for p. 0 Suppose -2*y - 10 = -12*y. Solve 2*n - y = -3*z + 9, z + 2 = 2*n for n. 2 Suppose t - 2*d = 4, 0*d - d + 4 = t. Solve 3 = -4*p + t*o - 9, 0 = p + 3*o - 1 for p. -2 Let q(p) = -p + 10. Suppose -3*h - 14 = -5*h. Let j be q(h). Solve 0 = j*c + 2*u - 16, -4*c + 35 - 11 = 4*u for c. 4 Suppose l + 4 = 4*d - 13, -3*d = -3*l - 24. Suppose d*i = -0*i. Solve t = -i*t + 5*c + 14, 5*t + 8 = -c for t. -1 Suppose -12 = 4*d - 6*d. Suppose d = 5*r - 3*r. Solve 5 = -3*x - 5*p, 5*p + 2 + r = 0 for x. 0 Suppose 0*u - 3*u - 2*y - 9 = 0, 3*y = u - 8. Let m be ((-2)/5)/(1/5). Let q be -2*(-4)/m*u. Solve x = 5*h - 5 + 4, 0 = 2*x - q*h + 2 for x. -1 Suppose -h + 17 = -5*w + 2*w, -3*w - 9 = 3*h. Suppose -h*z + 4 + 2 = 0, -2*z = 3*s - 138. Let y = s + -31. Solve 4*k = -v - 14, -4*k - 4*v = y + 7 for k. -3 Suppose 0 = -3*k + 8*k. Suppose 4*f - 32 = -k*f. Let m be 3/((-5)/(285/(-9))). Solve z = -5*a - m, 2*z - f = 4*z for a. -3 Let d be 20/(-16) - 13/(-4). Solve 6*a - 3*a = 0, d = -o - a for o. -2 Let j(p) = -3*p. Let t be j(-2). Let q = t + -1. Solve 0 = 4*s + q*h + 3, s + 0*s - 12 = 3*h for s. 3 Suppose 5*d + 15 = f, d + d = 8. Let p be 3/((-18)/8 - -3). Suppose -p*z + z + 18 = 0. Solve 3*v + 5*x + f = 0, -2*v + z*x - 2*x + 6 = 0 for v. -5 Let p = 34 - 20. Solve -3*f = -3*c - 5 + p, 2 = c - 2*f for c. 4 Suppose 2*s - 7 + 31 = 0. Let i = -8 - s. Solve 5*g = -c - 21, -i*c + 3 + 8 = g for g. -5 Let d(y) = -y. Let j be d(-8). Suppose -p - j = -f + 3*p, 49 = 4*f + p. Solve -2*u + 4 + f = 5*n, 4*n - 5*u = -7 for n. 2 Let j = -67 + 81. Solve -5*k + 3*u + j = 0, k = 4*u - 3*u + 4 for k. 1 Let h be (-2 - -1)*(-1)/1. Suppose 39 = 4*j - h. Solve 4*w + 8 = 0, -2*w + j = -2*n - 7*w for n. 0 Let n be (-6)/30 - (-32)/10. Let t = 4 + -2. Suppose 12 = 3*y + 2*i - 7, -n*i = t*y - 21. Solve -4*g - 12 = -z - y*z, -2*z - 2*g + 2 = 0 for z. 2 Let o be (-3)/(-6) + 10/4. Let r(m) = -3*m - 3*m**2 + 6*m**2 + m**2 - 5 - o*m**2. Let a be r(5). Solve -3*s + 15 = 0, -5*h + a*s - 22 = -2*h for h. 1 Suppose -3*n = 13 - 25. Solve -4*s - 2*g = n, 2*s = -s - 4*g - 13 for s. 1 Let l = -55 + 59. Solve -m - 19 = -5*s, 5*m + l*s + 5 = -3 for m. -4 Let u be (-2)/(-9) - (-145)/(-45). Let s be 2 - ((-2)/2 - u). Solve -3*g - g + 4*o = 24, -4*g - 3*o - 3 = s for g. -3 Let v(d) = 3*d**2 + d - 2. Let w be v(2). Let q be 5*(-3 + (-36)/(-15))*-7. Solve 4*s + q = -3*k + s, -k - 2*s = w for k. -2 Let o(c) = -4*c - 7. Let m be o(-5). Suppose 0 = -3*f + m - 1. Solve -f*w + 20 = 4*h, 2*w = 3*w - 3*h + 3 for w. 3 Suppose -3*v = -v - 8. Solve 3*z - 2 = 10, v*k + 5*z = 0 for k. -5 Let m(r) = 2*r**2 + 6*r + 2. Suppose 3*s + 2 + 9 = x, 21 = -5*s + x. Let b be m(s). Let q = 49 - b. Solve 5*y = -2*z - q, 2*y = 4*z + y - 1 for z. -1 Let p be 1 + -2 + -4 + 42/6. Solve -3*o - 5 = r, p*r - 1 + 4 = o for r. -2 Suppose 0 = -0*m - 4*m + 44. Let z(t) = -2*t - 7. Let a be z(-5). Let f be ((4*2)/2)/2. Solve -m = a*x - s + 3*s, 2*x - f*s + 4 = 0 for x. -3 Let w be ((-2)/(-42) + (-16)/(-56))*9. Solve 0*r - 6 = 2*i - 2*r, w*i - 5*r + 19 = 0 for i. 2 Let y = 70 - 68. Let w be (-3 + 0 + -1)/(-1). Solve -s - y*q + w*q = 6, 5*q - 15 = 2*s for s. 0 Let g be ((-5)/(-1))/(1/2). Solve -5*p = 2*s - g, 3 - 1 = 3*p + 2*s for p. 4 Let h(c) = -c**3 - 5*c**2 - 2*c - 5. Let y be h(-5). Solve -y*m + 4*q - 11 = 0, 0*m + 3*m = -2*q - 11 for m. -3 Let f = -20 + 20. Solve 7 = -l + 3*y, f*y + y + 1 = l for l. 5 Let o be (-44)/4*(2 + -3). Suppose 5*m = -3*z + 25, 2*z - o - 13 = 4*m. Let g be (4/5)/(4/z). Solve 4*j - 3 = -a, -4*j + 0*a = g*a - 6 for j. 0 Suppose -2*u = x, -x + 3*u - 7 = -17. Solve 0 = 4*l - 0*c + 5*c + 28, -8 = -4*l + x*c for l. -2 Let u = 0 + 3. Solve -4*o - 3*x - 12 = x, -u*o - x + 1 = 0 for o. 2 Suppose 0 = n - 5*l + 15, -3*n + 2*l + 1 - 7 = 0. Solve -2*f - 5*v + v + 26 = n, 3*v = 2*f + 2 for f. 5 Let y = -2 + 17. Let l(m) = -m**2 - 20*m - 86. Let d be l(-13). Solve -14 = 4*g - 5*s + y, 0 = -s + d for g. -1 Let r be (-6)/(-2) + (3 - -6). Suppose x + 2*y + 1 = -5, -r = x + 4*y. Solve -f - 2*o + 5*o + 12 = x, -2*f + 3*o = -12 for f. 0 Let z(j) = -j**2 + j + 2. Let u be z(4). Let t = -6 - u. Suppose 0*w = -4*w + 5*k + 40, 10 = w - 4*k. Solve 5*v - t = 3*x + 30, w = -5*x - v for x. -3 Suppose 5*m + 3*v - 26 = 0, m + 0 - 14 = -5*v. Let n(i) = i + 4. Let g be n(0). Solve -3*u + m*c + 17 = 0, -2*u - 3*u = -g*c - 15 for u. -1 Suppose 4*i + 0*i + 5*m - 32 = 0, 5*m + 16 = 2*i. Suppose 0 = -2*f + i - 0. Let b(g) = g. Let o be b(f). Solve 13 = o*k + j, -2*k - 10 = 3*k - 4*j for k. 2 Suppose 2*c = -5*f - 0*c + 20, 0 = 3*c - 15. Solve 5*q - f*s + 2 = -6, 5*q + 3*s = -13 for q. -2 Let s(n) = -2*n**2 - 5*n + n**2 + 6*n**2 - 6 - 4*n**2. Let w be s(6). Suppose -3*v + 15 + 9 = w. Solve -5*o = -5, -4*l - 2*o + 6 = -v for l. 3 Suppose -4*b - 4 = -16. Let n(d) = -d**2 - 4*d + 7. Let x be n(-5). Solve -b*y + 1 = 2*h, 3*y + x*h = -h + 6 for y. -3 Let w be 4 + -4*(-1)/2. Suppose -3*a = 3*c + 6, a + 2*a + w = -2*c. Suppose -2*f + 52 = 2*f. Solve x + 3 = 4*z, -z + c*x + 3*x - f = 0 for z. 2 Let z(y) = y**3 - 5*y**2 + 4*y. Let w be z(4). Suppose w*g + 8 = 2*g. Solve -4*s + 8 = -4*u, -5*u = -g*s + 3*s + 22 for u. -5 Let n(r) = -r**2 + 13*r + 2. Let m be n(6). Let a = m + -14. Solve 3*g - 25 = -2*g, -5*g = 5*c - a for c. 1 Let u be 2/6 + 1/(-3). Let c(w) = -w - 2. Let n be c(-4). Suppose -4*h - 3*t - 4 = u, n*h - 3*t = 4*h + 8. Solve 0*v = -4*v - h*l - 18, -5*l - 35 = 5*v for v. -2 Suppose 6*s = s + 10. Suppose -3 = z - 7. Let p be ((-4)/3)/z*-15. Solve c + 21 = p*i, s*c - i = 2*i - 14 for c. -1 Suppose 3*d = 5*w + 10, d - 2*w + 5*w - 8 = 0. Suppose -p - 5*r + 32 = 0, 11 = 3*p - 0*p - 2*r. Solve -4*n + 3*i + 2 = -p, -2*n + 1 = -d*i for n. 3 Let a be (10 - 2) + -3 + 5. Suppose 0*j + j - a = 0. Suppose -3*q = -5*v - j, q - 3 = 3*v + 3. Solve q = 2*m + 3*s - 8, 5*m - 2*m - 5*s = -26 for m. -2 Let j(v) = v**3 - v**2 + v + 5. Let w be j(0). Let m = -3 + 19. Solve -5*g + 3*i = -9, -w*g - 2*i + m = -g for g. 3 Suppose 20 - 4 = 4*f. Suppose w - 15 = -f*w. Solve 0 = 4*h - 2*i, 5*h - w*h - 4*i = 0 for h. 0 Let z(c) = -c**2 - 2*c. Let l be z(-2). Let u = l + 0. Solve -3*a + 2*d - 11 = u, -2*d = 5*a - 3*a - 6 for a. -1 Suppose -5*b = 2*s - 15, 5*b - 3*s - 45 = s. Solve -1 = 3*o + b*u, -5*o + 0*u - 2*u = -11 for o. 3 Let t be (-32)/(-5 + 1) + -3. Solve q - t = 2*u, -4*q - u + 6*u = -11 for q. -1 Let m(p) = p + 12. Let w be (-12 - -2)/(-1 + 2). Let r be m(w). Suppose -r*v = -5 + 1. Solve 0 = 3*q - 4*o - 15, v*o + 6 = 2*q - 2 for q. 1 Let x be (0 - 0/1) + 20. Solve -2*f + 4*g - x = 0, 2*g = -2*f - 2 + 6 for f. -2 Let n = -2 + 5. Let a(d) = -2*d**2 + 3*d + 2. Let j be a(n). Let y = 11 + j. Solve -3*t + 2 = -u - 1, -2*t + 12 = -y*u for t. 0 Suppose -3*k + k + 4 = 0. Suppose -2*l + 12 = -2*h, l + 5*h + 17 = 5. Solve -6 = -l*g + 4*i + 10, -8 = 5*g + k*i for g. 0 Suppose 4*t - 63 = 17. Let l = 27 - 23. Solve t = -l*p - 4*v, -p - 15 = 2*p + 2*v for p. -5 Suppose 4*a + 5 = 9. Solve -u + a = -y, 13
{ "pile_set_name": "DM Mathematics" }
biggest value in -4, 3, 0, -2, -48, 1? 1 What is the biggest value in 299, -9/10, 0? 299 Which is the second biggest value? (a) 103 (b) -358 (c) 2/7 c Which is the third smallest value? (a) 0.2 (b) -1/4 (c) 882 (d) 0 a What is the third smallest value in 2, 3, -0.1, 0.1, 6/7, -41? 0.1 Which is the second biggest value? (a) 58 (b) 0.01 (c) 9 (d) -2/11 c What is the sixth smallest value in 1, -2/15, 0.5, -6, 88.1, -5? 88.1 What is the sixth smallest value in 1, 3, 1/2, 32, 110, 8/3? 110 Which is the third smallest value? (a) -2/41 (b) -0.6 (c) 1/6 (d) -1 (e) 29 a What is the third biggest value in -4, 565.8, 1? -4 What is the third smallest value in -0.06, 2/1381, -4? 2/1381 What is the second smallest value in -0.02, 2/3, -126, 1, -0.03, -4? -4 What is the biggest value in 1/2, 7102, -3/5? 7102 Which is the second smallest value? (a) -0.2 (b) 5/6 (c) 3/4 (d) 3/214 d What is the biggest value in 1.3, -1, -114, 3/7, -0.5? 1.3 Which is the sixth smallest value? (a) 15 (b) 0 (c) 0.5 (d) -2 (e) -21 (f) -24 a Which is the third biggest value? (a) 41 (b) -4 (c) 4 (d) 0 (e) -3 (f) 7 c Which is the biggest value? (a) 0 (b) 17 (c) -53/412 b Which is the fifth smallest value? (a) -43 (b) -1/3 (c) 0.3 (d) -4/3 (e) -2 (f) 1/3 c What is the third biggest value in -0.9, -5, 46.05, 0.3? -0.9 Which is the smallest value? (a) -6 (b) 1/3 (c) -17724 (d) 0.1 c What is the smallest value in 351, 3, -4/7, 4? -4/7 Which is the fifth smallest value? (a) -1/3 (b) -5 (c) -0.2 (d) 3 (e) -102 (f) 2/7 f Which is the fourth smallest value? (a) -7/3 (b) 2/5 (c) -4023 (d) -5/2 b Which is the fourth biggest value? (a) 4 (b) 0.0744179 (c) -5 (d) 4/9 c What is the second smallest value in -1, 5877/38, -5? -1 What is the third smallest value in -0.5, -41, 4, 0.011, -2/23, 0.5? -2/23 Which is the second biggest value? (a) 3/8 (b) -0.7 (c) -4766 (d) 0.2 (e) -1 d What is the third biggest value in -12, -5, 5, 0.4, 3? 0.4 What is the fourth smallest value in 1, 0.3, 0.17, 29286, 2/3? 1 What is the third biggest value in -3, 19, 3, -0.82, 2/7? 2/7 Which is the second biggest value? (a) -1/94 (b) 0.1 (c) -0.4 (d) 0.028 d What is the second biggest value in 0.3, -334/7, -4? -4 Which is the fourth smallest value? (a) 2 (b) -68 (c) -1.269 (d) -1 a What is the third biggest value in 0.02, -146, -1/4? -146 Which is the second biggest value? (a) 2/15 (b) -115/64 (c) 0 c Which is the second biggest value? (a) -0.5 (b) -5 (c) 1/6099 (d) 2 c Which is the sixth biggest value? (a) 0.1 (b) -6 (c) 0.3 (d) -5 (e) -0.9 (f) -4 b What is the second biggest value in -36/5, 0, 5, -4, -0.07? 0 Which is the fourth biggest value? (a) -1/4 (b) -0.4 (c) 9 (d) -2099 d Which is the fourth biggest value? (a) 0 (b) -569 (c) 1 (d) 2/17 (e) 2 (f) 5 d What is the third biggest value in 1/4, -16900, -6? -16900 Which is the third biggest value? (a) -0.5 (b) -17.7 (c) -5 (d) 0.4 (e) 0.11 a What is the fourth biggest value in -56, 1/6, -33, 4/5, 0.5, -2? -2 Which is the third biggest value? (a) -2/11 (b) -7/24 (c) 8/7 (d) -2/7 (e) -1 d What is the fourth smallest value in -1, -0.0091, 2/11, -1/2, 5? 2/11 What is the third biggest value in 17899, -4/5, -1/3? -4/5 What is the smallest value in -23.1, -67.1, -2/9? -67.1 What is the second biggest value in -1616, -4, -3? -4 Which is the biggest value? (a) 1216570 (b) -1 (c) 4 a What is the second biggest value in 2/9, 2/7, -0.5, -33863? 2/9 What is the third biggest value in -1, 4, -2/71, -3? -1 What is the fifth smallest value in -5, 32, -0.1, -36.7, 19, 0.5? 19 Which is the fourth smallest value? (a) 4 (b) -2/361 (c) 1 (d) -3/7 (e) -7 (f) 0.1 f What is the fifth smallest value in -4, 2/3, 11/3, 0.013, 1? 11/3 What is the sixth biggest value in 5/3, 484, 3/5, 1/4, 4, -5? -5 Which is the biggest value? (a) 998 (b) -1/8 (c) -2/3 (d) -3/4 a What is the smallest value in 50, -52, -1/5, -0.45? -52 What is the second smallest value in -1, 2, -2243.42? -1 Which is the biggest value? (a) 3 (b) 2.4 (c) 6 c What is the smallest value in 4, 0.1, 3.127? 0.1 Which is the second biggest value? (a) 4 (b) 2 (c) -18434 b What is the smallest value in -0.12, -1/8, -27172? -27172 What is the smallest value in -3/4, 3, -0.2, -1.82, 1, -3/7? -1.82 Which is the third biggest value? (a) 1 (b) -42 (c) 73 (d) -1/9 d What is the smallest value in -6, -19, -0.037, 15? -19 What is the second smallest value in 5/4, 1/2, -2/11, 0.0449, 4, -9? -2/11 What is the second smallest value in 2, 11.7, -4, -3, -0.15, 3? -3 Which is the third biggest value? (a) 0 (b) -27 (c) -6 (d) 166 c Which is the third smallest value? (a) -1/9 (b) -2 (c) 10 (d) -50 (e) 1/3 (f) -4 b What is the fourth biggest value in -65, -8, -53, -1, 14? -53 Which is the fourth biggest value? (a) 4 (b) 3/128 (c) 2/11 (d) -0.172 d Which is the second smallest value? (a) 2/31 (b) -0.2 (c) -2436 b Which is the third biggest value? (a) 5 (b) -4/15 (c) 4 (d) -0.71 b What is the smallest value in 1, 0, 16, 2.7, -4/9, 0.9? -4/9 Which is the fourth biggest value? (a) 4 (b) 28/5 (c) 1/7 (d) 3/16 c What is the smallest value in 0.01, 0.13, -2, 1/5, 4? -2 Which is the third smallest value? (a) -46 (b) -39 (c) 0.5 (d) 1.4 (e) 1 c Which is the biggest value? (a) -3 (b) -1 (c) 1.1 (d) -2/7 (e) 2/9 (f) 0.1 c What is the second smallest value in 5/3, 0, 7295? 5/3 What is the fourth biggest value in 0.24, 6, -6, 11? -6 Which is the sixth smallest value? (a) 1/4 (b) 0 (c) -0.2 (d) 2 (e) 3 (f) 65 f Which is the third smallest value? (a) 10122 (b) 0 (c) -2/21 a What is the sixth smallest value in -0.5, 2/5, 5, 2, -108, -43/5? 5 What is the second biggest value in 159, -1.2255, 1? 1 What is the sixth biggest value in 0.4, 4, 1, -0.01, -1/10, 4/13? -1/10 What is the smallest value in -4, 8, 7/4, -110, -2? -110 Which is the biggest value? (a) 2/7 (b) 48 (c) -0.0009 (d) 1/8 (e) 3 b Which is the biggest value? (a) -42/2125 (b) 1/7 (c) -1/2 b What is the second biggest value in 3.39, 1.5, 2/17? 1.5 What is the second biggest value in 0.3, 29/168, 8, -4? 0.3 Which is the second smallest value? (a) 0.28 (b) -3 (c) 30 (d) 1 (e) -2 e Which is the third biggest value? (a) -2/3 (b) 1355 (c) -1 (d) 4 (e) 0.02 (f) -2/13 e What is the sixth smallest value in 1/8, 1, 3/4, 0.1, -5, -4? 1 Which is the third biggest value? (a) -3 (b) -5 (c) -1/21 (d) 3439 a Which is the smallest value? (a) -3 (b) 241 (c) 3 (d) 1/3 a What is the second smallest value in -4, -5, -0.3, -429? -5 What is the third smallest value in 4, -4, -2/3, -10, -20, -1/3? -4 What is the second smallest value in 2/21, -2.1, 4, 10, 5, 27? 2/21 What is the third smallest value in -0.1, 2057, 16/3? 2057 Which is the third biggest value? (a) -0.2 (b) 0.6 (c) 15 (d) 0.4 (e) 0 d Which is the third biggest value? (a) -2 (b) 0.1 (c) 4 (d) 20 (e) -7.3 b What is the third biggest value in 493, 0, 3, -3, -4? 0 What is the third biggest value in -1/16, 0.03, -118? -118 Which is the biggest value? (a) -70.63 (b) -60 (c) -0.2 c Which is the second biggest value? (a) -0.1 (b) -40 (c) 0.016 a What is the second smallest value in 4/3, 5, -3/2, -4, 2? -3/2 Which is the second biggest value? (a) -2 (b) -0.6 (c) -82 (d) 0.2 (e) 5 (f) 2/21 d Which is the smallest value? (a) -5 (b) 0.1 (c) -34161 c What is the second smallest value in -2563, 1/15, 0.04? 0.04 What is the second biggest value in -23, 1/2, -98142? -23 What is the sixth biggest value in -3/7, 9, -2, -0.2, 3.71, -0.3? -2 Which is the fourth biggest value? (a) -0.5 (b) 0 (c) 2/7 (d) 249 (e) 2 b What is the third biggest value in 0.1, 0, 4, -6.98, -0.2? 0 Which is the second smallest value? (a) -1/11 (b) -4 (c) -0.01618 (d) 0.5 a Which is the third biggest value? (a) 0.4 (b) -1/39 (c) 4 (d) 137 a What is the third smallest value in 4, -124, 1, -0.4? 1 Which is the smallest value? (a) -2/11 (b) -3 (c) -1.27 (d) -66 d What is the fourth biggest value in -0.1, -52, -17, -73? -73 What is the third smallest value in -4, 2/3, -0.2, 62/107, 1/3, -0.5? -0.2 What is the third biggest value in 0.1395, -3, 0? -3 What is the fourth biggest value
{ "pile_set_name": "DM Mathematics" }
+ 2. Calculate w(h). -10 Suppose 0 = 2*d + 4*x - 4, 12 = -2*x - x. Suppose -11 = -7*n + d. Let u(l) be the third derivative of -l**6/120 + l**5/20 + l**3/2 - 6*l**2. Give u(n). 3 Let n(j) = -j**3 - 4*j**2 + 3. Suppose 4*w + 3*x + 133 = 0, 3*x - 7*x - 167 = 5*w. Let h be (-2)/(-4)*(25 + w). Determine n(h). -6 Let z be 10/(70/(-21)) - (3 + -8). Suppose 2*r = -2*b + 6*b - z, 0 = -2*r + b - 2. Let q(w) = 6 - 4 - 5*w**2 - 1. Calculate q(r). -4 Suppose 130*a - 10 = 125*a. Let f(r) = 2*r**a - 11 + 6 - r**2 - 6*r. Let o = -8 - -14. Determine f(o). -5 Let w(k) = -6 - 868*k + 429*k + 441*k. Give w(6). 6 Let h(i) = 1. Let m(p) = -19*p - 3. Let n(f) = 16*f + 3. Let d(w) = -5*m(w) - 6*n(w). Let g be (1 - 2)/((-3)/3). Let x(q) = g*d(q) - h(q). What is x(-5)? 1 Let y(m) = -m**3 + m. Let d(c) = 7*c**3 + 7*c**2 - 7*c + 7. Suppose -3*t + 13 = 3*w - 14, w = 2*t. Let h(z) = w*y(z) + d(z). What is h(-7)? 14 Let g(i) be the first derivative of i**3 + 1/12*i**4 + i**2 + 9*i - 22. Let n(c) be the first derivative of g(c). What is n(-6)? 2 Let o be 6*11/(-264)*20. Let w(k) be the first derivative of -3/2*k**2 - 1/3*k**3 - 6*k + 3. Calculate w(o). -16 Let h = 420 - 243. Let o(s) = 1 - 178*s**2 - 3*s**3 + 8*s**3 + h*s**2. Determine o(1). 5 Let j be -13 + 10 + 123/2*2. Suppose 28*p - j = 4*p. Let y(r) = r**2 + r. Let i(h) = -h**3 + h**2 + h + 7. Let l(n) = -i(n) - 3*y(n). What is l(p)? -2 Let m(f) = f**3 - 6*f**2 - f + 22. Let l be (15/(-12))/((-6)/24). Determine m(l). -8 Let c(q) be the third derivative of 1/60*q**5 + 13*q + 2*q**2 + 0 + 2/3*q**3 - 1/3*q**4. What is c(5)? -11 Let g(s) = -14*s - 13. Suppose -8*i + 5*k = -6*i - 6, 3*i + 5*k = 9. Give g(i). -55 Let j(r) = 5*r**2 + 1. Suppose -13*z = -4*z - 36. Suppose i - 5*g = -z*i - 10, 3*i + 3 = 2*g. Give j(i). 6 Let z(v) = v**3 + v**2 - 6*v + 2. Let x(y) = 2*y**3 - 2*y**2 - y - 9. Let l(u) = x(u) - z(u). Let n be (27/45)/(1/5). Determine l(n). 4 Let i(h) = -119*h**3 + 5*h + 15. Let p be i(-2). Let a(s) = p*s - 944*s + s**2 + 3 + 0. Determine a(-9). -33 Suppose 14*g - 2529 - 439 = 0. Let k = g + -220. Let i(u) = u**2 + 8*u + 8. Give i(k). 8 Let b(s) = 42 + 8*s - 24 - 19. Let j(f) = f**2 - 9*f + 23. Let g be j(5). Suppose -w = -4*w - g. What is b(w)? -9 Suppose 0 = -50*o + 60*o - 1550. Let k(n) = n**2 - 7 + o*n + 152*n - 313*n. What is k(5)? -12 Suppose 0 = -m - i, -6*i + 5*i = 4. Let v(a) = -16 + a + 12 + m. Determine v(-2). -2 Let c(u) = u**2 - 20*u + 80. Let y = 1494 + -1488. Give c(y). -4 Let a(q) = -q + 11 - 12 - 3. Let v be a(-3). Let n(m) be the third derivative of -11*m**4/24 - 61*m**2. What is n(v)? 11 Let d = 547 - 513. Let j(t) = 10 + 14 + t + 11 - d. Determine j(-4). -3 Let r(x) = 9 + 50*x - 16*x**3 - 16*x**2 + 7*x**3 + 2*x**3 - 12*x + 8*x**3. Calculate r(13). -4 Let g(p) = 1. Let n(c) = -c + 9. Let x(q) = -4*g(q) + n(q). Suppose 40*o - 180 = 20. What is x(o)? 0 Let v = -5347 - -5365. Let y(q) = q**3 - 18*q**2. Calculate y(v). 0 Suppose -o + 6 = 2*o. Let z(g) = 55*g + 174. Let s be z(-3). Let a(r) = r + r**o - 7*r + 1 + s*r. Determine a(-3). 1 Suppose -38 = -5*d - 6*o, -8 - 1 = -3*o. Let r(q) be the second derivative of 0 + 1/12*q**d - 5/6*q**3 - 20*q - q**2. Determine r(4). -6 Let o(f) = 12*f + 115. Let c be ((-13)/(-3) + -1)/((-184)/552). What is o(c)? -5 Let n(i) = 15*i + 79. Let r be n(-5). Let a(q) = -r + 0 - 7*q - 7 - q**2 + 9. Determine a(-6). 4 Let y be 7/2 + 12/(-8). Let l(n) = -5*n + 2. Let x(c) = -c. Let s(u) = -l(u) - 6*x(u). Give s(y). 20 Suppose -590*k + 568*k - 594 = 0. Let y(q) = -q**3 - 26*q**2 + 22*q - 40. Calculate y(k). 95 Let f(l) = -l**2 - l - 2. Suppose -4*n - 4*a + 123 = -a, -116 = -4*n + 4*a. Suppose -22*o - n = -7*o. Determine f(o). -4 Let x = -543 - -381. Let y = x - -156. Let s(z) = z**2 + 5*z - 2. Give s(y). 4 Let w be 2/5 + (-596)/(-10). Let g(z) = 29*z**3 + z + 8*z**2 - 9*z + z - w*z**3 + 32*z**3 + 21. Give g(-9). 3 Let c = 12897 - 12894. Let u(d) be the third derivative of -1/3*d**c + 0*d + 0*d**4 + 0 + 23*d**2 + 1/60*d**5. Determine u(0). -2 Let v(t) be the second derivative of t**3/3 - 24*t**2 + 455*t. What is v(20)? -8 Let w(g) = g**2 + 16*g + 30. Suppose -5*h - 15 = 0, 3811 = -k + 3*h + 3808. Calculate w(k). -18 Suppose -4*s = 37 - 33. Let f(b) = -930*b + 930*b + 13*b**2. Give f(s). 13 Let i(o) = -o**3 + 12*o**2 + 30*o - 11. Suppose -90*d + 109*d - 266 = 0. Calculate i(d). 17 Suppose -4*p + w - 75 = 64, 3*p = 2*w - 113. Let t(r) = r**2 + 40*r + 231. Calculate t(p). 0 Let n(u) = -76*u - u**2 + 133*u - 65*u + 3 + 3*u**2. Give n(6). 27 Suppose -32 = u + 4*j, -34*u - 16 = -21*u + 2*j. Let c(m) = -m**2 + 4*m. Give c(u). 0 Let y be 2/(2 + 2)*-16. Let p(q) = 5*q**2 + 2*q + 317. Let n(j) = -6*j**2 - j - 397. Let k(i) = 4*n(i) + 5*p(i). Calculate k(y). 13 Let x(p) = -p - 2. Let b(g) = -9*g - 20. Let z(n) = -b(n) + 5*x(n). Calculate z(-8). -22 Let i(y) be the second derivative of y**4 + 70192*y. Suppose -2*l + 7*l - 5 = 0. Determine i(l). 12 Let j(u) be the first derivative of u**3/3 + 2*u**2 + 11*u + 6256. Determine j(-9). 56 Suppose 3*b - 2124 = -264. Let q be b/(-68) + 3 + (-2)/(-17). Let h(p) = -p**2 - 6*p + 8. Calculate h(q). 8 Let h be -1 + (1 - 0) + -2. Let j(p) = p + 1. Let o(f) = -5*f - 5. Let r(x) = -5*x - 5. Let d(i) = -3*o(i) + 4*r(i). Let y(a) = 4*d(a) + 18*j(a). What is y(h)? 2 Let p(u) = -u**3 - 3*u**2 + 2*u - 13. Suppose 5*h = -4*q - 41, -26*q + 25*q = h + 9. Determine p(q). -5 Let o be 8 + 7/(6/(-6)) + 2. Let f(r) = -4 - 6*r + o*r - 5 + 4*r + 2. Give f(3). -4 Suppose -3*x + 2 = -4*x, 3*u - 1972 = 2*x. Let n = u + -663. Let q(z) = -z**2 - 4*z + 1. Determine q(n). -20 Let o(x) = -12*x + 32. Let f = 4932 + -4927. Give o(f). -28 Suppose -9*o = 8*o + 1105. Let y = -60 - o. Let d(x) = -x**2 + 7*x - 7. Determine d(y). 3 Let j(o) be the first derivative of -o**4/4 + 13*o**3/3 - 6*o**2 - 12*o - 5. Let n be 7 - (-12 + 8 + -1). Give j(n). -12 Let y(b) = b**3 - 15*b**2 + 14*b + 7. Let t = -2442 - -2456. Give y(t). 7 Let v(a) = 6*a**2 + 29 - 37 - 2 - a**3 + 9*a. Give v(7). 4 Let k(q) be the third derivative of 23*q**4/24 - 105*q**3/2 + 171*q**2 + 2. What is k(14)? 7 Suppose -2*w - 2*t = 0, -9*w = -6*w - 3*t. Let u(h) be the third derivative of h**5/60 + h**4/24 + h**3/3 - 7*h**2 - 4*h. Determine u(w). 2 Let n(f) = -12*f + 2. Let h = 11 + -10. Let w be n(h). Let x(s) = s + 11. Let l be x(w). Let o(u) = -4*u - 1. What is o(l)? -5 Let m(s) = -s**2 + 36*s - 58. Suppose -58*i = 497 - 411 - 2058. Determine m(i). 10 Let q(s) = 70*s - 3. Let v be (-3)/(-1 - (-11)/8) - -6. Calculate q(v). -143 Let q(y) be the third derivative of -y**6/120 - 3*y**5/20 + 7*y**4/24 - y**3 - y**2 - 2191. What is q(-10)? 24 Let o(g) = -g**3 - 2*g**2 + g. Suppose 41*h - 115 + 648 = 0. Let a be (-4)/(h/(-3) - 3). Determine o(a). 6 Let j(c) be the second derivative of -c**4/24 + c**3/3 + 45*c**2 + 59*c. Let t(a) be the first derivative of j(a). Determine t(-1). 3 Let l(q) = -q**2 + 3*q - 4. Suppose -k = 3*y - 6, 10 = 35*y - 40*y + 5*k. Give l(y). -2 Let l(b) be the third derivative of -b**4/4 + b**3/3 + 7*b**2 - 3. Let i(o) = -7*o + 3. Let p(q) = -5*i(q) + 6*l(q). Determine p(7). -10 Suppose -39 - 41 = 16*g. Let y(o) = -8*o**3 - 14*o**2 - 25*o + 21. Let n(b) = -13*b**3 - 21*b**2 - 38*b + 32. Let l(r) = g*n(r) + 8*y(r). Give l(8). -8 Let t(f) = -f**2 - 10*f - 6. Let k(c) = 2*c + 54. Let s be k(-15). Suppose -1 = 5*u + 4*a + s, 3*a = -5*u - 30. Give t(u). 3 Let u(a) = -14*a**2 + 79*a + 27. Let b be u(6). Let g = -6 - -12. Let i(t) = g*t + 0*t - 3*t + 3. Calculate i(b). -6 Let f = 3609 + -3579. Let u(o) be the third derivative of 0 - o**3 + f*o**2 + 0*o - 1/12*o**4. Give u(-5). 4 Let z(o) = o**3 + 39*o**2 - 41*o - 34. Let c be z(-40). Let w(l) = 2*l - 13. Give w(c). -1 Let j(m) = m**2 - 9*m + 1. Let f be 4/(-10) + (-57)/(-5). Determine j(f). 23 Let x(z) = -5*z + 5. Let s(o) = -4*o + 4. Let j(w) = -6*s(w) + 5*x(w). Let a be (88/(-42) + 9/21)*42. Let p be (a/21 - -3)*-3. What is j(p)? 0 Let f(y) = 59*y + 10. Let u(z) = 37*z + 6. Let g(v) = 5*f(v) - 8*u(v). What is g(-3)? 5 Let a(y) = -102 + 2*y - 105 - 105 - 4*y + 315. What is a(0)? 3 Let w(u) = u**2 + 14*u + 22. Let y be (16/(-24))/(1/21). Calculate w(y). 22 Suppose 0 = -4*w, 2*j + 3*w = w - 26. Let f(x) = 4*x + 52. Calculate f(j). 0 Let y(f) be the second deriv
{ "pile_set_name": "DM Mathematics" }
ked without replacement from {h: 5, o: 7, q: 3, l: 4}. 7/323 Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {p: 10, w: 1, o: 7}. 7/153 What is prob of picking 1 a and 1 v when two letters picked without replacement from ppvzajb? 1/21 Three letters picked without replacement from {p: 6, o: 1, k: 2, r: 3}. What is prob of picking 1 o and 2 p? 3/44 Two letters picked without replacement from wwwwsurwuwwiruwwwu. What is prob of picking 1 i and 1 s? 1/153 What is prob of picking 1 g and 1 k when two letters picked without replacement from fkkugukuftkfkgkftk? 14/153 Calculate prob of picking 2 z when two letters picked without replacement from qcqczzhqzzg. 6/55 Three letters picked without replacement from spspspssssss. Give prob of picking 1 p and 2 s. 27/55 Two letters picked without replacement from {r: 3, o: 15}. Give prob of picking 2 r. 1/51 Three letters picked without replacement from zrmmm. What is prob of picking 1 r and 2 m? 3/10 What is prob of picking 4 d when four letters picked without replacement from ddddddddd? 1 What is prob of picking 2 y, 1 c, and 1 g when four letters picked without replacement from diiigiycynyn? 1/165 Two letters picked without replacement from {f: 1, a: 14}. What is prob of picking 1 f and 1 a? 2/15 Calculate prob of picking 2 x and 1 c when three letters picked without replacement from msscxicxsxsssxx. 4/91 What is prob of picking 1 k and 1 t when two letters picked without replacement from {b: 1, n: 2, t: 1, k: 1, p: 2, w: 1}? 1/28 What is prob of picking 2 a and 1 j when three letters picked without replacement from ajajjajjajajjjjj? 11/56 Calculate prob of picking 1 s, 1 l, and 1 b when three letters picked without replacement from llrrbbrlsbsksbbsllk. 100/969 What is prob of picking 1 v, 1 w, and 1 g when three letters picked without replacement from {g: 3, z: 4, h: 2, w: 1, v: 4}? 3/91 Four letters picked without replacement from {p: 1, d: 1, x: 1, l: 2, f: 2, k: 1}. What is prob of picking 1 p, 1 k, 1 l, and 1 x? 1/35 Three letters picked without replacement from {j: 2, z: 1, c: 6, a: 1, g: 6, s: 2}. Give prob of picking 1 a, 1 g, and 1 z. 1/136 Two letters picked without replacement from {d: 4, k: 14}. What is prob of picking 2 k? 91/153 Four letters picked without replacement from lbtbcely. What is prob of picking 1 c, 2 l, and 1 t? 1/70 Three letters picked without replacement from {h: 2, x: 1, c: 1, t: 1, k: 2}. Give prob of picking 1 t, 1 x, and 1 h. 2/35 What is prob of picking 2 z when two letters picked without replacement from zzyy? 1/6 Calculate prob of picking 1 n and 1 x when two letters picked without replacement from {x: 1, o: 4, n: 6, z: 2, f: 2}. 2/35 Calculate prob of picking 2 i when two letters picked without replacement from uppvoojiiipjpjo. 1/35 Two letters picked without replacement from ajjjaa. Give prob of picking 2 a. 1/5 Two letters picked without replacement from ppouophppppo. Give prob of picking 2 p. 7/22 Three letters picked without replacement from {k: 4, c: 6}. What is prob of picking 1 k and 2 c? 1/2 What is prob of picking 1 h and 1 z when two letters picked without replacement from {d: 5, s: 3, z: 3, x: 1, e: 2, h: 6}? 9/95 Calculate prob of picking 1 j and 1 w when two letters picked without replacement from wjj. 2/3 Three letters picked without replacement from kkwxwxxwwwxkkkwwxwkk. What is prob of picking 3 k? 7/228 Three letters picked without replacement from hjhhjpjhxhhvjjp. What is prob of picking 2 h and 1 v? 3/91 Calculate prob of picking 3 n when three letters picked without replacement from {n: 6, j: 8, u: 1}. 4/91 What is prob of picking 2 a and 2 b when four letters picked without replacement from zbxzzjbzbabzjza? 2/455 Calculate prob of picking 1 r, 1 v, and 1 i when three letters picked without replacement from {r: 2, x: 2, y: 4, i: 1, l: 3, v: 2}. 1/91 Three letters picked without replacement from {o: 2, x: 2, r: 4}. Give prob of picking 1 x and 2 o. 1/28 What is prob of picking 1 t, 1 s, and 1 n when three letters picked without replacement from ttndottsntnvtotdttt? 10/323 What is prob of picking 1 i and 1 n when two letters picked without replacement from innnnnnnnininn? 33/91 What is prob of picking 1 g and 1 n when two letters picked without replacement from {g: 11, n: 1}? 1/6 Two letters picked without replacement from wlllwlllllll. What is prob of picking 2 w? 1/66 Four letters picked without replacement from {d: 4, q: 1, o: 7, f: 5, r: 1, y: 2}. What is prob of picking 1 q, 1 d, 1 y, and 1 f? 8/969 What is prob of picking 2 f and 2 o when four letters picked without replacement from oeeeeoeefefee? 1/715 Two letters picked without replacement from {i: 13, w: 3}. What is prob of picking 2 w? 1/40 What is prob of picking 2 q and 1 s when three letters picked without replacement from {m: 4, s: 1, q: 4, z: 1}? 1/20 Three letters picked without replacement from ueueeuwefmerw. What is prob of picking 1 f, 1 m, and 1 r? 1/286 Two letters picked without replacement from {b: 4, r: 1, f: 2, e: 1}. What is prob of picking 1 f and 1 e? 1/14 Two letters picked without replacement from ffffzfffffzf. Give prob of picking 2 z. 1/66 Four letters picked without replacement from dddddmxdddxdxdxddmdx. What is prob of picking 1 m and 3 d? 572/4845 Four letters picked without replacement from {l: 4, i: 4, p: 2, a: 10}. What is prob of picking 1 a, 1 l, and 2 p? 8/969 Two letters picked without replacement from {l: 1, b: 4, o: 2, g: 1, h: 2}. Give prob of picking 1 b and 1 h. 8/45 Three letters picked without replacement from ycqcqbqqcqbjqqqqqq. Give prob of picking 1 j, 1 q, and 1 c. 11/272 Calculate prob of picking 2 n when two letters picked without replacement from wknkzwnkmkkwnn. 6/91 Four letters picked without replacement from vxvvvxv. Give prob of picking 4 v. 1/7 Calculate prob of picking 2 s and 1 x when three letters picked without replacement from {x: 2, s: 6}. 15/28 Two letters picked without replacement from hghhmhm. Give prob of picking 2 h. 2/7 What is prob of picking 2 x and 1 l when three letters picked without replacement from vkxxlkkxxkxlddxkl? 9/136 Four letters picked without replacement from cccccmmcccc. What is prob of picking 4 c? 21/55 Calculate prob of picking 2 m when two letters picked without replacement from mldlrml. 1/21 Two letters picked without replacement from {t: 11, a: 3}. What is prob of picking 2 t? 55/91 Two letters picked without replacement from {m: 4, s: 2}. Give prob of picking 2 s. 1/15 Two letters picked without replacement from jljllllj. Give prob of picking 1 l and 1 j. 15/28 Two letters picked without replacement from {f: 2, i: 6}. What is prob of picking 2 i? 15/28 Three letters picked without replacement from wwhywwyhwwwyhwhw. What is prob of picking 2 w and 1 h? 9/35 What is prob of picking 1 y and 2 h when three letters picked without replacement from {y: 3, z: 1, f: 3, h: 5, o: 1, i: 5}? 5/136 What is prob of picking 1 s, 1 e, and 2 z when four letters picked without replacement from zzzezeszzzezzzelz? 11/119 Three letters picked without replacement from aaaazaczaca. Give prob of picking 3 a. 7/33 Three letters picked without replacement from nnnnn. Give prob of picking 3 n. 1 Three letters picked without replacement from {l: 2, c: 4}. Give prob of picking 2 l and 1 c. 1/5 What is prob of picking 3 h when three letters picked without replacement from {h: 9, t: 7}? 3/20 Three letters picked without replacement from {p: 3, b: 3, d: 3, a: 1}. Give prob of picking 1 b, 1 p, and 1 d. 9/40 Calculate prob of picking 1 r and 1 c when two letters picked without replacement from {h: 8, c: 2, r: 1, e: 4}. 2/105 What is prob of picking 1 m and 1 l when two letters picked without replacement from ylvmgyvmymvmgmw? 1/21 Three letters picked without replacement from aajjjjj. What is prob of picking 3 j? 2/7 Three letters picked without replacement from {m: 11, d: 5, w: 1}. Give prob of picking 3 m. 33/136 What is prob of picking 1 w, 2 l, and 1 i when four letters picked without replacement from {e: 2, i: 1, l: 2, c: 1, w: 3, t: 8}? 3/2380 Calculate prob of picking 2 e when two letters picked without replacement from peeeeeee. 3/4 Two letters picked without replacement from xeexxxx. What
{ "pile_set_name": "DM Mathematics" }
.8 months? 29893.9 Convert 60399.27 decades to years. 603992.7 How many millilitres are there in 0.3325193l? 332.5193 How many weeks are there in 417127.095 minutes? 41.38165625 What is 3/25 of a kilometer in meters? 120 What is thirty-one halves of a year in months? 186 What is 11/2 of a litre in millilitres? 5500 What is fourty-two fifths of a kilometer in meters? 8400 What is 81.05922 months in centuries? 0.06754935 What is six fifths of a centimeter in micrometers? 12000 How many hours are there in 3371.985 days? 80927.64 What is three fifths of a decade in months? 72 What is 25/2 of a litre in millilitres? 12500 What is 0.5408491 millilitres in litres? 0.0005408491 How many millimeters are there in 37/5 of a meter? 7400 What is 1/10 of a litre in millilitres? 100 How many micrograms are there in sixty-one halves of a milligram? 30500 What is 3/25 of a centimeter in micrometers? 1200 How many nanometers are there in 0.0442304km? 44230400000 Convert 286.7827 decades to years. 2867.827 Convert 8.050218 years to months. 96.602616 What is seven eighths of a litre in millilitres? 875 How many months are there in 16/15 of a millennium? 12800 What is 21.9653343s in weeks? 0.00003631834375 How many kilometers are there in 93.55786 micrometers? 0.00000009355786 Convert 697714.7 millilitres to litres. 697.7147 What is 2/27 of a week in seconds? 44800 Convert 126657.8 milliseconds to nanoseconds. 126657800000 What is 16.77117 microseconds in minutes? 0.0000002795195 What is 0.0588822 kilometers in millimeters? 58882.2 How many seconds are there in 11/4 of a minute? 165 How many milliseconds are there in 1060.572 days? 91633420800 How many micrograms are there in 0.7199402 grams? 719940.2 Convert 768.5199 minutes to days. 0.533694375 Convert 61054.53 millimeters to micrometers. 61054530 What is 25/4 of a meter in centimeters? 625 How many minutes are there in 7435.807 hours? 446148.42 What is 25/2 of a century in months? 15000 How many micrograms are there in three fifths of a milligram? 600 What is 1/4 of a millennium in years? 250 How many grams are there in 11/2 of a kilogram? 5500 How many millilitres are there in twenty-nine fifths of a litre? 5800 Convert 4937.257 millilitres to litres. 4.937257 How many nanograms are there in 0.2589247g? 258924700 How many minutes are there in 7/6 of a hour? 70 What is 412.019 milligrams in grams? 0.412019 What is 0.6781062us in minutes? 0.00000001130177 What is 3/5 of a day in seconds? 51840 How many decades are there in 55/2 of a millennium? 2750 How many nanometers are there in 0.9491921 centimeters? 9491921 Convert 7.7716 milligrams to grams. 0.0077716 What is twenty-seven quarters of a second in milliseconds? 6750 What is 1/28 of a week in minutes? 360 What is fourty-two fifths of a milligram in micrograms? 8400 What is fifteen quarters of a kilometer in meters? 3750 What is 2708.561 minutes in seconds? 162513.66 How many millilitres are there in 19/4 of a litre? 4750 Convert 4224.752 tonnes to milligrams. 4224752000000 How many milligrams are there in 37/5 of a gram? 7400 How many milliseconds are there in 3/40 of a second? 75 How many litres are there in 8.206626 millilitres? 0.008206626 Convert 63242.13 years to decades. 6324.213 What is one quarter of a litre in millilitres? 250 How many millilitres are there in thirteen eighths of a litre? 1625 How many millilitres are there in 13/4 of a litre? 3250 What is 2/45 of a week in seconds? 26880 Convert 0.4160788 millilitres to litres. 0.0004160788 Convert 8.233818mm to kilometers. 0.000008233818 How many months are there in 3/10 of a century? 360 How many kilometers are there in 2938.04um? 0.00000293804 What is 608.3148 decades in years? 6083.148 How many milliseconds are there in one fifteenth of a minute? 4000 How many kilograms are there in 1342.412g? 1.342412 How many decades are there in 259810.3 millennia? 25981030 What is one fifth of a century in decades? 2 Convert 3.59886 litres to millilitres. 3598.86 What is 77.65618 minutes in microseconds? 4659370800 Convert 67504.47ug to grams. 0.06750447 What is fifty-four fifths of a litre in millilitres? 10800 What is 6/5 of a century in months? 1440 How many meters are there in 0.8655154 micrometers? 0.0000008655154 What is 4/7 of a week in minutes? 5760 What is 453894.2ng in milligrams? 0.4538942 How many millilitres are there in 17/2 of a litre? 8500 What is six fifths of a meter in millimeters? 1200 How many kilograms are there in twenty-six fifths of a tonne? 5200 How many micrometers are there in 3/5 of a centimeter? 6000 Convert 9325.094ml to litres. 9.325094 What is 69050.57km in centimeters? 6905057000 What is 2.911273 millennia in decades? 291.1273 What is 37/2 of a milligram in micrograms? 18500 Convert 2.126931 centuries to decades. 21.26931 How many micrograms are there in 81/2 of a milligram? 40500 How many months are there in 11/2 of a decade? 660 How many micrograms are there in 1/20 of a milligram? 50 What is 53/5 of a litre in millilitres? 10600 How many meters are there in 456.8038um? 0.0004568038 How many nanoseconds are there in 3/10 of a microsecond? 300 What is 4.178883mg in micrograms? 4178.883 Convert 72431.04 micrograms to nanograms. 72431040 Convert 19.25645 years to centuries. 0.1925645 Convert 0.7055997ns to microseconds. 0.0007055997 What is 3/8 of a kilometer in meters? 375 What is 0.6727281 litres in millilitres? 672.7281 Convert 83.75023km to centimeters. 8375023 What is 11/2 of a gram in milligrams? 5500 How many litres are there in 871645.2ml? 871.6452 How many hours are there in 927.4668 days? 22259.2032 How many millilitres are there in 3/5 of a litre? 600 Convert 74.19996 kilometers to micrometers. 74199960000 How many litres are there in 196.3898 millilitres? 0.1963898 What is 5/4 of a meter in centimeters? 125 What is 7/6 of a year in months? 14 Convert 71.64491 decades to years. 716.4491 How many decades are there in 1/5 of a millennium? 20 What is 4759.726 millennia in decades? 475972.6 What is 152.5851ns in minutes? 0.000000002543085 How many nanoseconds are there in thirty-seven fifths of a microsecond? 7400 How many hours are there in 677573.28ns? 0.0000001882148 How many micrometers are there in one quarter of a millimeter? 250 What is one tenth of a microgram in nanograms? 100 What is 37/5 of a decade in months? 888 How many years are there in 5/4 of a millennium? 1250 Convert 4585909.5 minutes to days. 3184.659375 Convert 56.48223 millennia to months. 677786.76 What is 107507603.7 nanoseconds in weeks? 0.00000017775728125 What is eleven quarters of a tonne in kilograms? 2750 What is 1/5 of a kilometer in centimeters? 20000 How many seconds are there in 894.2048 minutes? 53652.288 What is 419.506mg in nanograms? 419506000 How many centuries are there in twenty-one halves of a millennium? 105 How many years are there in 471.8739 millennia? 471873.9 Convert 0.432788 millilitres to litres. 0.000432788 How many minutes are there in one fifth of a hour? 12 What is 45/8 of a litre in millilitres? 5625 What is 11/8 of a meter in millimeters? 1375 How many nanograms are there in 75/8 of a microgram? 9375 What is 10/21 of a week in hours? 80 How many months are there in four fifteenths of a millennium? 3200 What is seven quarters of a millennium in decades? 175 What is 0.8239213t in grams? 823921.3 Convert 697.267 days to hours. 16734.408 What is 2891.3l in millilitres? 2891300 How many minutes are there in 87010.5 days? 125295120 What is one fifteenth of a hour in minutes? 4 How many milliseconds are there in 741.0754 minutes? 44464524 What is 7/15 of a millennium in months? 5600 How many millilitres are there in 2.516852 litres? 2516.852 How many micrograms are there in 53/5 of a milligram? 10600 Convert 9.424271 milliseconds to seconds. 0.009424271 How many minutes are there in 2737064.4 microseconds? 0.04561774 How many litres are there in 85.57119 millilitres? 0.08557119 What is seven eighths of a litre in millilitres? 875 What is 6/25 of a litre in millilitres? 240 How many nanometers are there in 499853.8m? 499853800000000 What is fifty-two thirds of a hour in minutes? 1040 Convert 150.4206 months to years. 12.53505 What is 0.3954929 tonnes in micrograms? 3
{ "pile_set_name": "DM Mathematics" }
4, -z*c = -2*j - 20. Let w(k) = k + 7. Calculate w(j). 3 Let w(v) = -12*v + 3. Let h be w(7). Let t = -87 - h. Let g(b) = b**2 + 8*b + 1. What is g(t)? -11 Let w(z) be the first derivative of -2*z**3/3 - 4*z**2 - 10*z - 366. Determine w(-5). -20 Let h(v) be the third derivative of 0*v**3 - 1/12*v**4 + 15*v**2 + 0*v + 0. Give h(2). -4 Let p(o) be the third derivative of -29*o**5/60 + o**3/6 - 32*o**2 - 4*o. Give p(1). -28 Let i(j) be the second derivative of -7/6*j**3 + 7/2*j**2 + 1/12*j**4 + 0 + 12*j. Let p = 0 + 6. What is i(p)? 1 Let w(i) = i**2 + 5*i - 3. Let j = 24 + -19. Suppose -j*l + 13 = -12. Suppose -y + 2 + l = -s, 0 = -2*y + 4. Determine w(s). -3 Let x(r) = -8*r**3 - 10*r**2 - 8*r - 5. Let n(z) = 7*z**3 + 10*z**2 + 8*z + 4. Let j(u) = -7*n(u) - 6*x(u). Determine j(-9). -7 Let i(o) = 6*o + 5. Let h(p) = 7*p + 7. Let m(x) = 5*h(x) - 6*i(x). Determine m(-4). 9 Let w(g) be the third derivative of g**9/60480 - g**8/3360 - g**7/1680 + g**6/80 + 4*g**5/15 + 6*g**2. Let m(v) be the third derivative of w(v). Give m(6). -9 Let d be (9 - (18 + 5))*2/(-14). Let s(z) = -4*z + 10. Calculate s(d). 2 Let g be 15/(-10) + (-79)/(-2). Let i = -36 + g. Let s(y) = -2*y + 1. Give s(i). -3 Let j(y) = -2*y - 1. Let r be 0/(-2 + 1) + (-16 - -18). Suppose 2*s - r = 3*s. Give j(s). 3 Suppose 19*t - 3*y = 22*t - 36, 3*y + 28 = 5*t. Let o(b) = -3*b**2 - 14*b + 5. Let f(q) = -2*q**2 - 7*q + 2. Let u(v) = 5*f(v) - 3*o(v). Determine u(t). -13 Let i(t) = t**2 - 2*t - 9. Let w(z) = z**2 + 4*z + 8. Let s(f) = -5*f**2 - 17*f - 31. Let a(x) = -2*s(x) - 9*w(x). Let d(g) = 6*a(g) - 7*i(g). Give d(4). -5 Let a(n) = -4*n**3 - 9*n**2 - 7*n + 2. Suppose -y - 14*y + 30 = 0. Let h(o) = -3*o**3 - 9*o**2 - 8*o + 2. Let z(s) = y*a(s) - 3*h(s). Calculate z(-7). 26 Suppose 7 = -2*l + 19. Let a(r) = 3 + r**3 - 5*r - 3*r**2 + 0*r**2 + 0*r**3 - 2*r**2. Give a(l). 9 Let s(u) = -u**3 - 4*u**2 + 8*u + 7. Let c(d) = 5 - d - 7 + 5. Let a be c(8). What is s(a)? -8 Suppose 12*q - 142 = -34. Let u(o) = o**2 - 8*o - 12. What is u(q)? -3 Let k be (48/8 - 5) + (-1 - -18). Let h be (-3)/(k/50) - 10/15. Let l(t) = -t - 12. Give l(h). -3 Suppose -43 = -4*v + 3*a - 0*a, 2*v = -a + 9. Suppose -1 + v = 3*i. Let y(l) = -7*l + l**3 + i*l**2 - 4 + 2*l + 2*l + 0*l**3. What is y(-3)? -4 Let k(u) = u - 1. Let h(n) = 7*n - 10. Let v(q) = -h(q) + 4*k(q). Suppose 0 = 9*m - 5*z - 27 - 24, -5*m + 4*z + 32 = 0. Give v(m). -6 Let i(c) = -2*c - 36. Let u(g) = -1. Let t(x) = i(x) + 3*u(x). Let p be t(-16). Let w(k) = -k - 7. Determine w(p). 0 Let k(l) = -3 - 17*l + 2 + 8*l. Let t(b) = -b + 1. Let g(u) = k(u) - 2*t(u). Determine g(-2). 11 Let y(k) = k**2 - k + 4. Let l be (-3)/(-2)*14/63*-12. Calculate y(l). 24 Let w(u) = -9*u**2 - 2*u. Let l(n) = n**3 - 16*n**2 - 10*n + 158. Let r be l(16). Calculate w(r). -32 Let m(i) = -3*i - 13. Suppose -14*a - 115 = -45. What is m(a)? 2 Let i(n) = -12*n + 35 - 10*n + n**2 + 9*n - 4*n. What is i(15)? 5 Let f(j) = -j + 10. Let d = -6 + 4. Let u(z) = 2*z - 3. Let b(o) = -6*o + 9. Let r(s) = 4*b(s) + 11*u(s). Let m be r(d). Calculate f(m). 3 Suppose 6*v = -3*v + 45. Suppose 7 = -3*l + 5*z, -3*l + v*z = 3*z - 8. Let y(p) = -p + 2. Determine y(l). -4 Let g(n) be the third derivative of -1/12*n**5 + 0 - 1/6*n**4 - 5*n**2 + 0*n - 1/6*n**3 - 1/120*n**6. Let j be 1*((-2 - 3) + 1). Determine g(j). -1 Let k(n) = -15*n**2 - 19*n**2 - 2 - 3*n + 35*n**2 - 6*n + 4*n. Determine k(-3). 22 Let j(z) be the third derivative of z**4/8 + z**3 - 40*z**2. What is j(-4)? -6 Let z(d) = 7*d**3 - 16*d**2 + 11*d - 21. Let c(l) = -6*l**3 + 15*l**2 - 11*l + 20. Let t(m) = -6*c(m) - 5*z(m). Calculate t(9). 3 Let c(q) = q - 12. Let a be c(6). Let t = a - -2. Let z(m) = 26*m**2 - 44*m + 22. Let u(b) = 8*b**2 - 14*b + 7. Let n(r) = -16*u(r) + 5*z(r). Calculate n(t). 14 Let l = 32 - 10. Let w(d) = -2 + 57*d**2 + 2*d + d**3 - 19*d**2 - l*d**2 - 20*d**2. Calculate w(3). -5 Let f(y) = 14*y + 21. Let g(l) = 40*l + 61. Let w(k) = -17*f(k) + 6*g(k). Calculate w(-8). -7 Let w be 10/(-15) + (-56)/24. Let x(d) = 2*d. Calculate x(w). -6 Let w(l) = 3*l + 30. Suppose 54*f = -202 - 446. What is w(f)? -6 Let k(r) = -r**3 - 10*r**2 - 10*r + 3. Let d = -554 - -545. Calculate k(d). 12 Let c(v) = -v + 4. Suppose 4 = 4*n, 6 = -5*y + 4*n - 13. What is c(y)? 7 Let s(z) = -z**3 - 9*z**2 - 6*z - 10. Let o(p) = p**2 - 10*p + 8. Let d be o(8). Give s(d). -26 Let q(t) be the second derivative of 3/2*t**2 + 1/12*t**4 + 2/3*t**3 + 0 + 15*t. Determine q(-4). 3 Let b(c) = -51*c**2 - 56*c**2 + 2*c + 108*c**2 - 3. Give b(-3). 0 Let n be 4 - (2 - (1 - 5)). Let h(f) = 13*f + 2. Determine h(n). -24 Suppose -3*o + 15 = -3*m, -2*o + 5 + 0 = -m. Let c(v) = -2*v**3 - 3*v + 4*v**2 + 2 + 5 - 6 + o*v. What is c(2)? -5 Let t be -4*((-232)/32)/29. Let x(f) be the first derivative of -f**3 - f - 1. Give x(t). -4 Let a(q) = 10*q + 4. Let b(i) = -20*i - 9. Let j(t) = 7*a(t) + 3*b(t). Give j(-1). -9 Let x(j) = j**3 - 4*j**2 - j + 1. Let u(v) = v**2 + 20*v + 22. Suppose -1 = 2*h + 37. Let r be u(h). Calculate x(r). -11 Let j(o) = -o**3 - o**2 + 1. Suppose 2*z = -5*l - 13, 8*l - 11 = z + 12*l. Give j(z). -1 Let k(r) = -r**2 + 3*r + 5. Suppose -4 - 14 = 3*n. Let t be n/(-30) - (-24)/5. What is k(t)? -5 Let g(c) = 4*c - 24. Let r be 2/6*(46 + -31). Give g(r). -4 Let h(c) = c**2 + 11*c + 8. Suppose -3*w + 4 = -t - 20, 4*t + w + 44 = 0. Calculate h(t). 20 Let w = 139 + -137. Let i(b) = -b**w + 87 - 45 - 43 + 2*b**2. Give i(5). 24 Let r(b) = -11 - b**3 + 2 + 1 + 5 + 9*b**2. Give r(9). -3 Let b(g) = -5*g**3 - 22*g**2 - 13. Let s(y) = -11*y**3 - 51*y**2 + y - 28. Let i(t) = 9*b(t) - 4*s(t). Let u = -2 + 7. Give i(u). 0 Suppose -23 = k - 25. Let m(j) = -4*j**2 - j + 5. Let x(r) = -5*r**2 - 2*r + 6. Let w(q) = -4*m(q) + 3*x(q). Give w(k). -2 Let i(o) = 7*o + o**3 - 39*o**2 + 23*o**2 - 2 + 9*o**2. Calculate i(5). -17 Let a = 44 - 44. Let k be (a - -2) + (-1)/((-3)/(-21)). Let g(v) = 3*v + 6. What is g(k)? -9 Let c(u) = 2*u**2 + 96*u + 500. Let i be c(-42). Let h(y) be the first derivative of -y**4/4 - 2*y**3 - 3*y**2 - 6*y - 1. What is h(i)? -14 Suppose 11*w - 18 = 4. Let t(p) = 2*p - p**2 + p - w*p - 2. Calculate t(0). -2 Let v(g) = -3*g**2 - 42*g - 13. Let r(l) = 2*l**2 + 28*l + 8. Let h(p) = -7*r(p) - 5*v(p). Determine h(-13). -4 Let u(o) = -o**2 + 9*o - 7. Let l be (15/(-10))/((-3)/16). Calculate u(l). 1 Let l(k) = k**3 - 10*k**2 - 7*k + 2. Let o(j) = j**2 - 1. Suppose 0 = -3*i + 9, 21 = 3*b + 4*i - 3*i. Let p(u) = b*o(u) + l(u). Calculate p(6). 26 Let t(q) be the first derivative of q**4/4 - 5*q**3/3 - 5*q**2/2 - 4*q + 34. Give t(6). 2 Suppose -41*l - 192 = 7*l. Let t(k) = 3*k + 1. Determine t(l). -11 Suppose 3*d + 45 = 6*d. Suppose -3*k + d = -0. Suppose 2*l - 5*r + k = -l, 0 = 3*l + 3*r + 21. Let y(s) = -s**3 - 5*s**2 + s + 5. What is y(l)? 0 Let l(n) be the third derivative of n**4/24 + n**3 + 94*n**2. Calculate l(0). 6 Let k(g) = 13*g**3 + 49*g**2 + 3*g + 39. Let q(z) = 4*z**3 + 16*z**2 + z + 12. Let l(y) = -2*k(y) + 7*q(y). Determine l(-7). -1 Let l(j) = 11*j + 6. Let f(k) = -11*k - 4. Let o(c) = 3*f(c) + 2*l(c). Suppose 9 + 4 = -5*p - 4*h, 3*h + 6 = 0. Calculate o(p). 11 Let g(m) = -m**3 - 6*m**2 - 5*m - 7. Suppose -3*f = 5*q + 119, 3*f + 19 - 120 = 5*q. Let r = q + 17. Calculate g(r). -7 Let y(m) = m - 3. Let d(l) = -l**3 - 5*l**2 - 2*l - 6. Let t be d(-5). Let f be (-10)/(t/(-36)*-6). Let q = f - -18. Determine y(q). 0 Let c(n) be the second derivative of -n**5/20 - n**4/4 + 2*n**3/3 + 5*n**2/2 - 50*n. Give c(-4). 5 Let f(z) = 6*z + 104. Let k(c) = -c - 11. Let j(s) = f(s) + 10*k(s). Give j(-1). -2 Let f(c) be the third derivative of c**4/12 + 2*c**3 + c**2 - 11. What is f(-10)? -8 Suppose -11*v = -13*v + 14. Let t = -19 + 11. Let i = v + t. Let r(x) = -2*x + 1. What is r(i)? 3 Let z be (-24)/24 - (-8)/2. Let q(a) = 22*a - 2 - 19*a - z. Give q(4). 7 Suppose -14 + 2 = -3*o. Suppose -3*r + o*r = 5. Let i(x) = 2*x**2 + 3*x - 7. Let n(s) = -3*s**2 - 5*s + 11. Let f(u) = r*n(u) + 7*i(u). What is f(-5)? 1 Let z(o) = -27*o - 22*o + 51*o + 5. What is z(-4)? -3 Let u(q) be the second derivative of -q**7/840 + q**6/90 + q**5/120 + q**4/12 - 7*q**3/3 - 15*q. Let m(c) be the second derivative of u(c). Calculate m(5). -18 Let w(m) = m**2 - 7*m + 2. Let k be w(5). Let
{ "pile_set_name": "DM Mathematics" }
of a milligram? 240 How many months are there in thirty-one halves of a century? 18600 How many minutes are there in 19.677702 nanoseconds? 0.0000000003279617 How many meters are there in 3/50 of a kilometer? 60 Convert 29.85682ml to litres. 0.02985682 What is 3/8 of a tonne in kilograms? 375 How many millilitres are there in 9.587112 litres? 9587.112 How many kilograms are there in six fifths of a tonne? 1200 What is seven halves of a decade in months? 420 How many micrograms are there in 27/5 of a milligram? 5400 What is 28/9 of a week in minutes? 31360 How many minutes are there in 16/15 of a week? 10752 How many centimeters are there in three tenths of a kilometer? 30000 What is 5175.363nm in meters? 0.000005175363 What is one fifth of a millennium in years? 200 Convert 863066.8 decades to centuries. 86306.68 What is 9/10 of a kilogram in grams? 900 How many months are there in 11/4 of a year? 33 How many weeks are there in 942.57324 seconds? 0.0015584875 What is one sixteenth of a week in seconds? 37800 What is eight thirds of a year in months? 32 What is 1/10 of a gram in milligrams? 100 How many seconds are there in 5882.362 weeks? 3557652537.6 Convert 125042.1 minutes to hours. 2084.035 How many years are there in 6/25 of a millennium? 240 Convert 1655.6892 months to millennia. 0.1379741 How many years are there in 329.903 decades? 3299.03 Convert 825165.8ug to milligrams. 825.1658 What is 16.83711 meters in nanometers? 16837110000 What is twenty-nine fifths of a litre in millilitres? 5800 What is three eighths of a gram in milligrams? 375 How many millilitres are there in 0.0840233 litres? 84.0233 What is seven quarters of a litre in millilitres? 1750 Convert 0.9886635nm to micrometers. 0.0009886635 How many nanoseconds are there in 0.5240679 hours? 1886644440000 How many millilitres are there in 513.6235 litres? 513623.5 What is 7/2 of a century in months? 4200 What is fifteen quarters of a litre in millilitres? 3750 Convert 0.8853355 decades to millennia. 0.008853355 What is sixty-two thirds of a decade in months? 2480 How many centuries are there in 13/5 of a millennium? 26 How many decades are there in six fifths of a century? 12 How many millilitres are there in 3/25 of a litre? 120 What is three fifths of a milligram in micrograms? 600 How many centimeters are there in 76127.16mm? 7612.716 What is one sixteenth of a century in months? 75 Convert 5.803813 kilograms to nanograms. 5803813000000 How many seconds are there in 1/96 of a day? 900 How many months are there in 49.00329 centuries? 58803.948 What is 1642.584069ms in weeks? 0.0000027159128125 What is 29.95545nm in centimeters? 0.000002995545 How many micrograms are there in 3/8 of a milligram? 375 What is 3/40 of a millisecond in nanoseconds? 75000 Convert 556400.3nm to centimeters. 0.05564003 What is 5/8 of a kilometer in meters? 625 What is seven halves of a litre in millilitres? 3500 What is 911940.3l in millilitres? 911940300 Convert 5470.653 kilometers to centimeters. 547065300 How many micrograms are there in 11163.84 nanograms? 11.16384 Convert 9895.82ml to litres. 9.89582 How many millilitres are there in 939.3892 litres? 939389.2 What is 7177.147 days in milliseconds? 620105500800 What is one twentieth of a litre in millilitres? 50 How many centuries are there in 1.7775906 months? 0.0014813255 How many months are there in 23/3 of a century? 9200 How many litres are there in 394985.2 millilitres? 394.9852 How many litres are there in 4388.607ml? 4.388607 What is 231.3366 millilitres in litres? 0.2313366 Convert 25.28061 centimeters to meters. 0.2528061 Convert 80124.75 milliseconds to hours. 0.022256875 How many litres are there in 749.2305ml? 0.7492305 What is 8/7 of a week in hours? 192 How many nanometers are there in three eighths of a micrometer? 375 Convert 112857.42 months to decades. 940.4785 How many months are there in 45/4 of a year? 135 How many millennia are there in 693.2562 centuries? 69.32562 What is 5.30701 decades in centuries? 0.530701 What is fifty-one fifths of a gram in milligrams? 10200 How many millilitres are there in twenty-one eighths of a litre? 2625 What is 29/5 of a minute in seconds? 348 How many milligrams are there in 283961.7 kilograms? 283961700000 Convert 3692.311km to centimeters. 369231100 Convert 208025.31 months to decades. 1733.54425 How many litres are there in 87.17909 millilitres? 0.08717909 How many minutes are there in one eighteenth of a week? 560 What is twenty-six fifths of a kilogram in grams? 5200 What is sixty-four fifths of a millennium in years? 12800 What is 52/5 of a kilogram in grams? 10400 How many minutes are there in 3/8 of a day? 540 What is 51.64298 micrograms in nanograms? 51642.98 What is three eighths of a gram in milligrams? 375 What is 0.984994 nanoseconds in microseconds? 0.000984994 What is 19/4 of a litre in millilitres? 4750 What is 1/5 of a millennium in months? 2400 What is 1/20 of a meter in centimeters? 5 How many micrograms are there in one sixteenth of a gram? 62500 What is 5/8 of a kilogram in grams? 625 What is seven quarters of a decade in months? 210 What is one tenth of a kilogram in grams? 100 What is 704025.63ns in hours? 0.000000195562675 Convert 56.7836955 minutes to weeks. 0.005633303125 How many months are there in one fifteenth of a decade? 8 What is 42847.14um in nanometers? 42847140 What is three tenths of a gram in milligrams? 300 What is 0.3920361 millilitres in litres? 0.0003920361 How many microseconds are there in fourty-five halves of a millisecond? 22500 How many micrometers are there in 3/50 of a meter? 60000 How many meters are there in fifty-seven fifths of a kilometer? 11400 How many seconds are there in sixty-five thirds of a minute? 1300 What is five eighths of a litre in millilitres? 625 How many minutes are there in 10/9 of a week? 11200 What is 51.9692ug in kilograms? 0.0000000519692 Convert 1.279429 years to centuries. 0.01279429 What is twenty-nine fifths of a hour in seconds? 20880 How many minutes are there in 1/15 of a week? 672 How many nanometers are there in 852.2469 centimeters? 8522469000 What is 2/125 of a litre in millilitres? 16 What is 1/15 of a decade in months? 8 What is five eighths of a milligram in micrograms? 625 How many kilograms are there in 9/10 of a tonne? 900 What is 25/2 of a century in months? 15000 Convert 0.127861 minutes to microseconds. 7671660 Convert 101690.4 minutes to microseconds. 6101424000000 How many months are there in 0.035415 millennia? 424.98 What is 5/4 of a microsecond in nanoseconds? 1250 What is eleven quarters of a microgram in nanograms? 2750 Convert 6.528049cm to millimeters. 65.28049 How many seconds are there in 2/45 of a hour? 160 How many years are there in 60.72054 months? 5.060045 What is 762.2674 years in centuries? 7.622674 What is 61/4 of a millisecond in microseconds? 15250 What is twenty-seven halves of a litre in millilitres? 13500 What is 0.1851347 centimeters in nanometers? 1851347 How many litres are there in 9247.401ml? 9.247401 How many centimeters are there in 3.534814um? 0.0003534814 How many millilitres are there in 530.559 litres? 530559 How many centuries are there in 111.12195 months? 0.092601625 What is 3/40 of a kilometer in meters? 75 How many centimeters are there in 5/4 of a meter? 125 Convert 4690.04km to meters. 4690040 Convert 759596.9 millimeters to centimeters. 75959.69 How many months are there in 5/4 of a year? 15 How many millilitres are there in 13/8 of a litre? 1625 What is 4/3 of a hour in minutes? 80 How many millilitres are there in 0.361606 litres? 361.606 Convert 0.2000265 nanoseconds to seconds. 0.0000000002000265 How many millilitres are there in 53.64998l? 53649.98 Convert 9522.966 nanometers to millimeters. 0.009522966 What is 6.627291 micrograms in tonnes? 0.000000000006627291 What is 3/8 of a tonne in kilograms? 375 How many micrograms are there in 0.2425802t? 242580200000 Convert 75.25833 centuries to decades. 752.5833 How many micrograms are there in 524329.9 tonnes? 524329900000000000 How many millilitres are there in three eighths of a litre? 375 Convert 0.129339 centuries to decades. 1.29339 Convert 3259.403g to milligrams. 3259403 What is 12/25 of a m
{ "pile_set_name": "DM Mathematics" }
)/((-6)/24*4). -9 Evaluate 21/(756/18)*-2*(-8)/(-3)*12. -32 What is the value of ((-28)/70*-8)/(7/(700/(-40)))? -8 (-5296)/(-34755)*27/(-72) -2/35 What is (271/15447)/(169/247)? 1/39 What is (-3)/(((-393)/131)/(10/2))*2/(-745)? -2/149 Calculate ((-14472)/(-104520))/(3/13). 3/5 What is (-2)/26*(((-10)/(-120)*-102)/1)/(-17)? -1/26 What is the value of 22975/(-3676)*(96/(-5))/(-8)? -15 Calculate 12765/925*45/(-81). -23/3 (42/147*(-3)/(24/(-14)))/((-882)/8820) -5 Evaluate (645/(-903))/((3145/204)/(-37)). 12/7 Evaluate 38*17/(-9690)*(-5)/3. 1/9 What is (10570/(-84))/(8445/(-10134))? 151 Calculate 1*8/(-1)*(-198)/660. 12/5 (141/15)/((-425)/(-2125)) 47 What is ((-4)/10)/(101/((-372185)/536))? 11/4 ((-64)/24)/(1372/15435) -30 What is ((-13)/((-7007)/28))/((696/5684)/(3/(-7)))? -2/11 What is 76/((((-96)/(-40))/(-3))/((-72)/540))? 38/3 Evaluate (3/9)/((-10988)/(-1608)). 2/41 Evaluate (-3*(-132)/(-216))/((54/(-9))/108). 33 36/16*14/(168/20)*288/260 54/13 What is ((-32)/400*-5)/(((-16368)/180)/(-22))? 3/31 Evaluate -7*72/(-126)*((-147)/(-14))/3. 14 What is (-178074)/(-4566)*((-24)/(-144))/(-1*2/8)? -26 Calculate ((-1580)/6)/(183/(66429/(-1210))). 79 ((-5)/25)/(90/(-225))*-66 -33 18/54*((-4)/16*-6)/((-104)/(-546)) 21/8 What is the value of (-480)/9*81/(-216)? 20 Evaluate 170*73/(-18980)*-26. 17 Calculate ((12/(-3))/(2660/(-133)))/((-1)/145). -29 What is the value of (-2025)/27*(-17)/1275? 1 What is the value of (391386/(-4551))/((-2*(-1)/5)/((-3)/(-15)))? -43 What is (20/(-12))/((-4900)/7840)? 8/3 (-4)/6*2760/(-736)*11/((-10065)/(-12)) 2/61 Calculate 56/(-10)*(-2)/((-2368)/(-555)). 21/8 What is the value of (22*672/(-30800))/((-1)/(10/4))? 6/5 What is (-83)/332*-1*344/(-32)*-8? 43/2 Calculate (5/9)/(25/240)*81/198. 24/11 Calculate 160/64*-4*(-4)/(8/(-2)). -10 What is the value of ((-125)/(-60))/(-12*(-4)/576)? 25 (4/(-48))/(85/(39270/22)) -7/4 Calculate 1/(39/(-6565)*35/21). -101 (((-1350)/63)/(-15))/(-5)*(-1)/11 2/77 Evaluate 6/(-4)*972/10206. -1/7 Evaluate ((-2)/12*-14)/((-546)/936). -4 Evaluate (6/110*(-570)/1368)/((-65)/(-20)). -1/143 What is the value of (5*(-28)/(-735))/((1/12)/((-7)/(-8)))? 2 What is the value of ((-144)/648)/(12*12/1584)? -22/9 What is (-128972)/612617*(-19)/(-23)? -4/23 Evaluate -2*(-48)/(-448)*((-6)/(-5))/(3717/590). -2/49 Calculate (-365)/(-730)*19/(247/(-104)). -4 Evaluate -1*35/2*64*(-48)/(-1536). -35 What is the value of 9/(-165)*75*132/1485? -4/11 Calculate (-230)/(-320)*28*(237/553)/(12/(-8)). -23/4 What is the value of (100/(-15))/(72675/52326)? -24/5 Calculate ((-2)/(4/(-24)*29/(87/(-36))))/103. -1/103 (36*25/80*13/((-234)/12))/(-3) 5/2 (-49)/7*(-2376)/(-1386) -12 (-8)/3*(12636/(-208))/(-27) -6 What is the value of ((-20)/3)/((-1574)/7083)? 30 Evaluate 30/((-9180)/(-969))*(-2)/4*-4. 19/3 Calculate (3202/(-19212)*-1*2)/((-6)/(-22)). 11/9 Evaluate ((-15)/2)/((-165015)/29336). 4/3 What is the value of ((-333)/(-259))/((-35)/(-49)*144/90)? 9/8 What is the value of 2/(-7*-42*34/(-833))*(-12)/(-88)? -1/44 What is 484/198*1260/(-70)? -44 What is 18/(((-430)/(-129))/((-5)/12*-2))? 9/2 What is ((-20)/8880*(-168)/(-42))/((-2)/(-6))? -1/37 What is 48/2*(-20615)/(-7980)? 62 Calculate 108*(-20)/220*176/48. -36 Evaluate 12/(-1*2/5*(-27)/((-216)/40)). -6 What is (1/2)/((-10)/(-90)*105*11/(-110))? -3/7 Calculate ((-20)/(-12))/(((-4900)/1140)/(-49)). 19 What is the value of (276/162)/(4/(-15))*(-25221)/(-42035)? -23/6 Evaluate 17/((-1190)/(-392))*((-220)/6)/(-22). 28/3 What is the value of 9/2*(-5)/20*9*(-336)/(-693)? -54/11 What is 2975/(-13328)*16*1/(-5)? 5/7 ((-52)/(-156))/((-107)/(-27285)) 85 Calculate ((-9)/162*21)/((48/(-6))/(-336)). -49 Calculate (26/(-35))/(-111*92/(-51060)). -26/7 18/(-1)*-6*3/15*(-9950)/(-2985) 72 What is (5/(-13)*200/(-500))/(5/325)? 10 What is -3*-50*(-44)/(-120)? 55 What is the value of ((1680/6048)/(10/(-8)))/((-2)/72)? 8 What is the value of -16*49/2744*5/((-220)/224)? 16/11 (((-7749)/410)/27)/(-105)*-2 -1/75 What is (52/20)/(-8*(-6)/8*(-6)/30)? -13/6 What is ((2/10)/((-3)/93))/((-43)/((-1591)/37))? -31/5 Evaluate (124*(-9)/(-6))/((-8530)/(-4265)). 93 What is the value of (7/(-49)*-8)/((-752)/(-71064))? 108 Calculate 4/(((-36)/(-70))/((-35)/175))*18. -28 What is the value of (3/(-5))/(4330/30310*(-26)/10)? 21/13 What is the value of (483/6)/((-73710)/8424)? -46/5 What is the value of (-1503)/334*(-130)/39? 15 Calculate -53*532/77539*(-11)/138. 2/69 Evaluate (-13)/(-65)*100/80. 1/4 Calculate (70/(-250)*-5)/(((-405)/(-15))/9). 7/15 Calculate (-56)/378*33/(-44). 1/9 Evaluate ((-4)/(-16))/(36/1104)*(-180)/(-15). 92 Calculate (132/(-110))/(1/35). -42 ((-6)/(-77))/((-684)/(-237006)) 27 2/((-42)/(-280)*52/(-78)*20/(-4)) 4 What is 171*45/84645*3/(-2)? -3/22 Calculate ((-4)/15*(-6840)/240)/((-36)/30). -19/3 -139*((-3610)/152)/95*-4 -139 Calculate 5*((-27)/(-36)*44)/(300/16). 44/5 Calculate ((-206580)/807540)/((-6)/86). 11/3 (4272/12015)/(((-4)/5)/2) -8/9 Evaluate (-432)/2592*(-246)/(-5). -41/5 What is the value of (-18)/15*1*3/(144/(-30))? 3/4 What is ((-31)/((-17980)/87))/((-18)/(-3144))*10/2? 131 Evaluate (16/6)/4*(-61)/(8113/627). -22/7 What is 57/6*(-180444)/(-25973)? 66 Evaluate (2*1)/(-1*20/(-32480)*8*-7). -58 What is 1/4*-33*30264/2574? -97 ((-12)/3*2)/(20*3/(-12)*-2) -4/5 What is 54/30*49200/11070? 8 ((-24)/(-70)*(-11220)/(-31416))/(5/(-7)) -6/35 What is (-6)/10*24/20*(-2)/(-4)? -9/25 What is ((-8850)/(-20650))/((-3)/434)? -62 What is (-8)/6*(-5142)/(-65132)? -2/19 Evaluate (15/(-3*(-12)/(-9)))/(8/(448/(-6))). 35 Calculate -14*(-12)/252*(-1)/(18/891). -33 Evaluate 2160/135*(-693)/(-112). 99 Calculate (2/14)/((-5)/371*255/(-1275)). 53 Calculate ((-372)/(-2170))/(54/(-60)). -4/21 5/(-12)*(-18)/30*(-1)/(-8) 1/32 (190332/(-27990))/(4/(-2)) 17/5 What is the value of (-4*-2*(-1)/(-20))/(45/(59625/(-742)))? -5/7 What is the value of (-48)/(-28)*(112/(-80))/(4/(-20))? 12 ((-28)/35)/(14/140*-36) 2/9 What is the value of (-228)/(-231)*2585/(-470)? -38/7 Evaluate (8/70)/(200/525)*(-10)/(-16). 3/16 Evaluate ((-105)/7)/((-5525)/340). 12/13 What is the value of (-3)/1*388/582*21/(-6)? 7 What is 2/((-6)/(-10)*(-1235)/78)*6/8? -3/19 What is the value of 147/6*(-4760)/(-91630)? 14/11 195/780*(-10)/3*(-3696)/1260 22/9 Calculate -8*25/(1800/288). -32 What is the value of ((85/(238/(-14)))/((-50)/4))/(12/1)? 1/30 What is 3/13*-18*546/(-19278)? 2/17 ((-2)/469)/(148/68376*44) -3/67 What is the value of (((-36)/(-1386))/(2/22)*(-21)/3)/(-27)? 2/27 Evaluate (36/135)/(70/(-25)). -2/21 Calculate (((-15)/(-2))/(-1))/((-5860)/21096*3/(-2)). -18 What is (247/(-266))/(93/(-2604))? 26 What is the value of (-39940)/(-5991)*(-2)/72? -5/27 What is the value of (918/(-255))/(6/(-15))? 9 Evaluate (402/15410*368)/((-3)/20). -64 What is ((-5)/780)/(153/1224)? -2/39 What is ((-6533)/94)/(-139)*637/7*10/7? 65 What is the value of (3/(-72))/(639/1136)? -2/27 What is 21/(-57)*((-2)/(-8))/((-1194)/4776)? 7/19 What is the value of (-300)/17640*21*4/90? -1/63 What is ((4/(-10))/((-6)/(31800/53)))/(10/4)? 16 What is ((-2)/(-18))/(529/47610)? 10 Evaluate (-3*(-30)/36)/((92/4)/414). 45 What is the value of ((-314)/(-2669))/(1836/(-8092))? -14/27 Calculate ((-32)/(-48))/((-240)/27)*-25. 15/8 3/2483*(-80366)/9273 -2/191 What is the value of ((-5)/(-10))/(((-2613)/(-1014))/(-67))? -13 Calculate (-72)/560*2735/1641. -3/14 Calculate 2040/(-306)*(-8)/10*(-132)/(-16). 44 What is the value of (41262/4186)/(12/(-56))? -46 ((-9)/12*-2)/((-6)/72)*(-19784)/(-207732) -12/7 What is the value of 24/(-2898)*50211/(-1594)? 6/23 What is (((-28)/(-56))/(((-120)/688)/15))/1? -43 (((-518)/(-259))/(-36))/((-3)/(-1)*2/8) -2/27 What is the value of ((-95)/(-570))/(18/45*-1*25/(-4))? 1/15 Calculate 32/45*(-114975)/(-730). 112 Evaluate (31*5/(-155))/(8/(-904)). 113 ((-3069)/2511)/(99/(-36)) 4/9 What is 188/(-22)*(1496/17)/(-8)? 94 Evaluate ((54/3)/(-3))/(-18*(-737)/(-66)). 2/67 Evaluate (((-25)/(400/(-72)))/(3/54))/(12/8). 54 Evaluate (((-115)/69)/((260/24)/13))/((-306)/238). 14/9 Evaluate (((-23716)/56)/77)/((-5)/(-2)). -11/5 Calculate ((4/(-154))/(129/(-301)))/((-49)/((-2646)/(-24))). -3/22 Evaluate 2/(-37)*(-6747320)/(-7760). -47 Calculate (1/15)/(744/(-9300)*6/4). -5/9 Calculate ((-75)/2550*85)/(5/4)*1/(-46). 1/23 (4/(-6))/((-72)/(-25272)*36)*6/3 -13 What is the value of
{ "pile_set_name": "DM Mathematics" }
91.74 Multiply 0.122 and -730.8. -89.1576 What is -868715 times -0.3? 260614.5 Work out 28562.8 * 2. 57125.6 What is 0.369 times 96.98? 35.78562 1 times 16163 16163 1.024 * -0.15 -0.1536 Multiply -0.1157 and -0.044. 0.0050908 -285*448 -127680 Multiply 9839 and -223. -2194097 13774 times 4 55096 Work out -0.1 * 9879. -987.9 Work out 43403 * -0.9. -39062.7 2057*-0.044 -90.508 Calculate 3*19083.5. 57250.5 Work out -6.6138 * 0. 0 What is 0.2 times 4136? 827.2 Calculate -2.81*-0.772. 2.16932 37336*0.4 14934.4 -8*-12254 98032 Multiply 4 and -2037. -8148 88.7 * -2963 -262818.1 Work out -2.77408 * 0.5. -1.38704 0.604*67 40.468 Work out -0.3 * -6213. 1863.9 0.06 * -92.39 -5.5434 -55 * 128.8 -7084 1.9917*0.4 0.79668 -104 * -28433 2957032 What is -0.3 times -444682? 133404.6 Product of -0.02 and 4473. -89.46 What is 1124 times -0.368? -413.632 -0.068 times 19.356 -1.316208 What is -5 times 14.1167? -70.5835 What is -0.5 times -7778? 3889 131 * -169 -22139 Product of -0.111 and -0.151. 0.016761 What is -58.9381 times 4? -235.7524 Work out 3 * 160533. 481599 2.0962 times -0.08 -0.167696 Product of 0.01 and 0.60198. 0.0060198 -646.9 * -19 12291.1 Product of 206105 and 0.3. 61831.5 Calculate 11*0.6031. 6.6341 -0.2*-9459 1891.8 Multiply -89375 and 9. -804375 What is the product of 0.5 and -8770? -4385 Calculate 7.96335*0. 0 What is the product of 0.05 and 7272.3? 363.615 Product of -2.4 and 42. -100.8 What is -1 times -17043? 17043 What is 32 times -533? -17056 Multiply 122456 and 0. 0 Multiply -0.04662 and 4. -0.18648 Product of 1 and -4755.69. -4755.69 Calculate 0.5*-23270.6. -11635.3 What is the product of -4 and 680887? -2723548 What is the product of 19.3449 and 1? 19.3449 Work out 6789.86 * 5. 33949.3 Calculate 10.799*-1. -10.799 Product of 74379 and 0.17. 12644.43 -439.53 * 0.41 -180.2073 Multiply 0.038 and -1.126. -0.042788 What is 1 times -304141? -304141 What is the product of 0 and -16239? 0 Work out 4272 * 53. 226416 -50 * 476.8 -23840 Multiply -105 and 373. -39165 Product of -347140 and 0.1. -34714 Calculate -7.2*-1212.8. 8732.16 What is the product of 30 and -542.9? -16287 What is -1879 times 0.78? -1465.62 Calculate 445.59*-0.3. -133.677 What is the product of 427 and 2? 854 Calculate 0.3*-24655. -7396.5 Product of 30042 and 0.9. 27037.8 What is the product of -121 and 307? -37147 What is 16.2 times 82? 1328.4 Work out 95076 * -0.3. -28522.8 271.275 times -0.5 -135.6375 -0.17*0.1257 -0.021369 Calculate 39*1649.5. 64330.5 Work out 0.146 * 797.5. 116.435 -189 times 8 -1512 -63 times -0.0608 3.8304 Work out -1798 * 6.1. -10967.8 What is the product of -5 and 2.84915? -14.24575 What is the product of 77 and -2.9? -223.3 Product of 7 and 11866. 83062 Product of 7 and 0.00584. 0.04088 3 times 20100 60300 87*1052 91524 -0.1*1064.33 -106.433 Work out -303 * -2819. 854157 What is 8 times 4.7? 37.6 Calculate 616*-1.5. -924 What is -2 times -6.45965? 12.9193 What is -5 times 10104? -50520 -339705 times 0.5 -169852.5 Product of -368419 and 3. -1105257 Product of 3 and 0.925. 2.775 -3892*-47 182924 What is the product of 7 and 3926? 27482 Multiply 0.09 and -11266. -1013.94 Product of -10 and 6.578. -65.78 What is 0.1073 times 21.31? 2.286563 Product of 21.4343 and 0.7. 15.00401 What is 0.016 times 19? 0.304 -0.114 * 57.3 -6.5322 Work out -4 * 242734. -970936 -6226461*-4 24905844 Multiply 2 and -57439. -114878 15 * 6679.2 100188 191.3 times 0.094 17.9822 -3.3 * 0.1596 -0.52668 Calculate 751*2957. 2220707 88298*0.4 35319.2 Work out -252476 * 0.2. -50495.2 What is the product of 63.743 and 3? 191.229 9.2 times 0.345 3.174 Work out -104745.51 * 0.1. -10474.551 -5 times -66897.2 334486 4*25295.9 101183.6 What is -0.19 times -13.77? 2.6163 22*-0.0899 -1.9778 -354 * -2 708 Product of 184973 and -0.5. -92486.5 Product of 2313 and 3. 6939 28 * 2404 67312 What is 0.64 times -2118? -1355.52 Product of -2.7463 and 0.1. -0.27463 What is -243 times -681? 165483 Product of -2 and -0.22895. 0.4579 Product of -0.406 and 0. 0 5064 times 19 96216 What is the product of -0.2 and -8.10924? 1.621848 Work out 0.18 * 18687. 3363.66 -0.06 times 1874.7 -112.482 -67424 * -0.1 6742.4 70657 times 116 8196212 What is the product of 0 and 840182? 0 -179*-443 79297 Multiply -137942 and -12. 1655304 Calculate -49136*0.2. -9827.2 Work out -544 * -457. 248608 14*-2.89 -40.46 -0.4*-466916 186766.4 22.3 * 5.4 120.42 What is the product of 5.57 and 116? 646.12 Product of -0.13 and 2959. -384.67 Calculate 42638*-0.2. -8527.6 What is the product of 45696 and -1? -45696 Multiply -5 and 367.755. -1838.775 0.1348 times 128 17.2544 Calculate 0.1160515*0.3. 0.03481545 -3659445 times 0 0 Calculate -37*-750. 27750 Calculate -10370*-139. 1441430 Product of 4 and 36062. 144248 What is the product of 9 and -28.95? -260.55 What is 21353 times 6? 128118 What is 4 times 1.5073? 6.0292 Work out -1.5 * -0.027835. 0.0417525 Calculate 48769*-3. -146307 Work out -10542 * -155. 1634010 Work out 141 * 1.597. 225.177 Multiply -0.1507 and 1622. -244.4354 Product of 18 and 987.3. 17771.4 -23 * 2.957 -68.011 -10*213931 -2139310 What is -0.00565 times -0.2? 0.00113 0.333*-18 -5.994 Multiply -49.7 and 4. -198.8 What is the product of 0.2 and -3.8259? -0.76518 What is the product of -0.5 and 255439? -127719.5 15.92*0.75 11.94 Multiply 63.243 and -2. -126.486 What is the product of 23 and 712? 16376 Multiply 1 and 54984. 54984 -4613*188 -867244 Multiply -2122 and 0.4. -848.8 What is the product of 0.06451 and 4.5? 0.290295 Calculate 3.08*544. 1675.52 1301.86 * -0.5 -650.93 What is 187 times 17.3? 3235.1 What is the product of -1538.6 and -0.1? 153.86 -2.3 times -2100 4830 Product of -1898 and -2.54. 4820.92 -9*5802 -52218 Calculate 137*-85.77. -11750.49 Product of -4143 and 2.1. -8700.3 Product of -48 and -141448. 6789504 What is the product of -2 and 799.5? -1599 210 * -13.2 -2772 Work out -0.2 * 17283. -3456.6 -6 times -30.31 181.86 What is the product of -3.3 and -6138? 20255.4 Work out 0.437 * -0.2128. -0.0929936 48 * -270 -12960 Multiply 5 and 1243.69. 6218.45 Product of 0.062948 and 1. 0.062948 2.7093 * 0.15 0.406395 Multiply -110 and 11235. -1235850 What is the product of -38.34 and 0? 0 Multiply -25665 and 0.4. -10266 -0.0311 * 0.98 -0.030478 66 times -177.9 -11741.4 Multiply 0.2963 and -97. -28.7411 Work out 0.03 * 0.01749. 0.0005247 8295.5 * 0.4 3318.2 -0.013326 times -0.45 0.0059967 Product of -195 and -7068. 1378260 107078*4 428312 224 * 252 56448 -0.05 times -5374 268.7 What is -4 times -56824? 227296 -9 times 1600 -14400 Product of -7 and -81143. 568001 -9.3 times -9.16 85.188 Product of 3.3953 and 0.3. 1.01859 -34*-2.6806 91.1404 What is the product of 44979 and -0.06? -2698.74 582*5.6 3259.2 What is the product of 1 and -1040137? -1040137 0.1*0.89953 0.089953 Work out -16801.27 * -0.1. 1680.127 -1.0836 times -0.2 0.21672 Work out 31 * 74. 2294 Work out -216.533 * 3. -649.599 Multiply 4 and 271066. 1084264 -3 times 119.142 -357.426 0.429*-455 -195.195 Product of -31.0284 and -6. 186.1704 -2126 * -120.8 256820.8 Calculate 5*187.81. 939.05 -452893 times -11 4981823 What is the product of 0.059161 and 1.5? 0.0887415 Calculate -242491.2*-2. 484982.4 Multiply -46816 and 0.01. -468.16 Work out -0.2 * 1729. -345.8 Work out 12 * 51502. 618024 What is -0.389129 times -5? 1.945645 0.032 * 0.12 0.00384 654 times 83 54282 What is the product of 0.3 and -4.8476? -1.45428 Multiply 5 and 11427. 57135 0.2*-448639 -89727.8 53 * -1251 -66303 Work out 39 * -19.83. -773.37 Product of 50 and -506.8. -25340 What is the product of -1617 and 11.5? -18595.5 What is 0.06715 times 9? 0.60435 What is 0.0105817 times -0.5? -0.00529085 What is 0 times -4223? 0 What is the product of -0.3 and 102206? -30661.8 0.3 * -234040 -70212 What is 5 times -214? -1070 -1.02 * -0.3 0.306 0.5*32697 16348.5 Calculate 248094*-2. -496188 Multiply 5 and -157081. -785405 51300 times -1 -51300 Product of 160485 and -0.5. -80242.5 Product of -0.5 and -7158. 3579 1643 * -181 -297383 -8544 times 0.4 -3417.6 0.504*-161 -81.144 0.21*-34510 -7247.1 -398 * -68 27064 -4*28.9622 -115.8488 Calculate 340.26*1. 340.26 Work out 168769 * 1. 168769 Calculate 0.1*603828. 60382.8 Product of 3.1 and 0.936. 2.9016 What is -2 times -0.17? 0.34 Calculate -813*-798. 648774 C
{ "pile_set_name": "DM Mathematics" }
, 3 Sort 29, -23, -35, 2/5 in increasing order. -35, -23, 2/5, 29 Put 2, 8, 1318 in descending order. 1318, 8, 2 Sort 3, 91, 121/5 in ascending order. 3, 121/5, 91 Sort -1, 18, 1/5, 135, -0.3. -1, -0.3, 1/5, 18, 135 Sort -2, 2, 4, -1202, -3 in decreasing order. 4, 2, -2, -3, -1202 Sort -105, 65, -20, 4. -105, -20, 4, 65 Put -2/7, -13, -4/3, -1/2 in decreasing order. -2/7, -1/2, -4/3, -13 Sort -4, 0, -140, 79, 5 in ascending order. -140, -4, 0, 5, 79 Sort 2, 1478, 5, -8 in descending order. 1478, 5, 2, -8 Put 4, 1, 5, 8, 327, -1 in ascending order. -1, 1, 4, 5, 8, 327 Put -200, 11, -1, -3 in descending order. 11, -1, -3, -200 Sort 17, 642, 2, 0 in increasing order. 0, 2, 17, 642 Sort -3, 5, 3, -6, -5, -1. -6, -5, -3, -1, 3, 5 Put -0.2, 4, 80, 10392, -6/5, -3 in decreasing order. 10392, 80, 4, -0.2, -6/5, -3 Put -6, 2/279, 28, -0.3 in ascending order. -6, -0.3, 2/279, 28 Sort 11/3, -2963, -2, 0, -0.2, 2/11 in ascending order. -2963, -2, -0.2, 0, 2/11, 11/3 Sort -13, -107, 19 in descending order. 19, -13, -107 Put 204, -2, 404 in increasing order. -2, 204, 404 Sort 5, 3, -27, 48. -27, 3, 5, 48 Sort 3/4, 5, -86, 1409 in decreasing order. 1409, 5, 3/4, -86 Put 2887, 12, -2 in descending order. 2887, 12, -2 Sort 0.1, -7/2, -1/4, 5/9, 6/11 in ascending order. -7/2, -1/4, 0.1, 6/11, 5/9 Put -12271, -0.2, -0.107 in ascending order. -12271, -0.2, -0.107 Put 7, 0.03, 2, 0, -5 in descending order. 7, 2, 0.03, 0, -5 Sort 0, 28, 2, -26 in increasing order. -26, 0, 2, 28 Sort 4, -3, 13, 68, 9, 0. -3, 0, 4, 9, 13, 68 Put 4, -3, 1/2, -1.1, 117 in increasing order. -3, -1.1, 1/2, 4, 117 Put 0, 17, 397 in decreasing order. 397, 17, 0 Put 14/9, -5, -4, 0.3, 106/5 in decreasing order. 106/5, 14/9, 0.3, -4, -5 Sort -2/167, 71, 5/2 in decreasing order. 71, 5/2, -2/167 Put -10, 5, -14, 2, -11, -2 in decreasing order. 5, 2, -2, -10, -11, -14 Sort 19, 0, 2, 6, 71, 4 in descending order. 71, 19, 6, 4, 2, 0 Put 279, -3, 0, 15 in descending order. 279, 15, 0, -3 Sort 33, 4, 239, -5 in increasing order. -5, 4, 33, 239 Sort -0.211, 3, -1/3 in decreasing order. 3, -0.211, -1/3 Sort -4, -3, -10, 0, -333 in decreasing order. 0, -3, -4, -10, -333 Put -9.975, 1/3, 1, -0.21 in decreasing order. 1, 1/3, -0.21, -9.975 Sort 0.5, -2/35, -1, -6/17 in increasing order. -1, -6/17, -2/35, 0.5 Sort 10, -5, -115, -79 in descending order. 10, -5, -79, -115 Put 4, 0, -17, -13, -3 in descending order. 4, 0, -3, -13, -17 Put 4, 1063, 3, 0.4, 2, 15 in descending order. 1063, 15, 4, 3, 2, 0.4 Put -5, -7, 3, 109, -3, 0 in increasing order. -7, -5, -3, 0, 3, 109 Sort 4, -4, 7, -14 in ascending order. -14, -4, 4, 7 Put 4, 0, 986 in ascending order. 0, 4, 986 Sort 2, 1374086, 1. 1, 2, 1374086 Sort -1, 3, 495, 1, 6 in increasing order. -1, 1, 3, 6, 495 Sort 21, -3251, 5/2, -3. -3251, -3, 5/2, 21 Sort -184, 5, -6, -1 in increasing order. -184, -6, -1, 5 Put 1, 0.5, -0.0167, -1/3, 7 in increasing order. -1/3, -0.0167, 0.5, 1, 7 Sort -908, -2, -19 in increasing order. -908, -19, -2 Put -5/8, 6, 2/17, -4/7, -5, 0.07 in ascending order. -5, -5/8, -4/7, 0.07, 2/17, 6 Sort 6, -728, -7 in increasing order. -728, -7, 6 Put -1692, 1, 628 in decreasing order. 628, 1, -1692 Sort -480, -3, 0.05 in decreasing order. 0.05, -3, -480 Sort -10/7, -216, -5, -3/4, 2 in decreasing order. 2, -3/4, -10/7, -5, -216 Sort -5, -1, 884. -5, -1, 884 Sort -63.3, 3, -4, 70 in ascending order. -63.3, -4, 3, 70 Sort -141, 6, 1, -4, -5 in descending order. 6, 1, -4, -5, -141 Put 41, 20, -291 in decreasing order. 41, 20, -291 Sort -5, 2, -6, -10. -10, -6, -5, 2 Put -0.3, 0.07, 844, 0.01 in ascending order. -0.3, 0.01, 0.07, 844 Sort -1/4, 453, -0.16. -1/4, -0.16, 453 Sort 36, -38, 288. -38, 36, 288 Sort -25, 0.04, 33, 0.3, 1. -25, 0.04, 0.3, 1, 33 Sort 3/2, 2, 61, 2/5, 0.5 in increasing order. 2/5, 0.5, 3/2, 2, 61 Put 237, 4, -26, -1 in decreasing order. 237, 4, -1, -26 Sort 5, -4, 1, 3, 1508 in decreasing order. 1508, 5, 3, 1, -4 Sort 5/3, -44, 0.3, 5/52, 0.1 in descending order. 5/3, 0.3, 0.1, 5/52, -44 Sort 44, 990, -10 in descending order. 990, 44, -10 Sort 47, 3, 26, 4 in increasing order. 3, 4, 26, 47 Sort 3, -6, 2, -4, -13, 1 in ascending order. -13, -6, -4, 1, 2, 3 Sort 54, 5, -4, 133, -1, 2 in ascending order. -4, -1, 2, 5, 54, 133 Sort 5, -19, -1, 2, 1. -19, -1, 1, 2, 5 Sort -0.3, -4, -1/7, -0.28, -0.2, 5. -4, -0.3, -0.28, -0.2, -1/7, 5 Sort 38, 6, -3, -38, 0 in decreasing order. 38, 6, 0, -3, -38 Put 5/6, 2, 12.2, -0.1, 2/13 in decreasing order. 12.2, 2, 5/6, 2/13, -0.1 Sort 5.7, -0.0236, -0.4 in ascending order. -0.4, -0.0236, 5.7 Put 1/23, 1, -0.1, 7/6, 4, -2 in descending order. 4, 7/6, 1, 1/23, -0.1, -2 Sort -3, 9, 3, -7708 in decreasing order. 9, 3, -3, -7708 Put -0.06, 1/664, 2/5, -5 in increasing order. -5, -0.06, 1/664, 2/5 Sort 0.2, -166.6, 662 in descending order. 662, 0.2, -166.6 Sort -33, 2, 1, -687, 4 in descending order. 4, 2, 1, -33, -687 Put 4, -5, 2, -16, 97 in ascending order. -16, -5, 2, 4, 97 Sort -4418, 1, -13, -3 in increasing order. -4418, -13, -3, 1 Sort -1.0777, -0.2, 3/4 in decreasing order. 3/4, -0.2, -1.0777 Put -60, 0, -1, -14 in decreasing order. 0, -1, -14, -60 Sort -3, 4135, 5 in increasing order. -3, 5, 4135 Sort 16, -2, 3, 0, -770, -12. -770, -12, -2, 0, 3, 16 Sort 658/169, 3/2, 3 in decreasing order. 658/169, 3, 3/2 Put 5, 60, -65 in decreasing order. 60, 5, -65 Sort -1, -1784230, -2 in decreasing order. -1, -2, -1784230 Sort 12, -0.1, -1.3 in ascending order. -1.3, -0.1, 12 Sort -3, 340, 18, -2 in ascending order. -3, -2, 18, 340 Sort -3, 370, 3, -3/8, 0.07, 12 in increasing order. -3, -3/8, 0.07, 3, 12, 370 Sort 0.5, 115, -4, 4, -0.2 in decreasing order. 115, 4, 0.5, -0.2, -4 Sort 1, 6145, 5, -5 in increasing order. -5, 1, 5, 6145 Sort -3, -4, 3, -4.45, 2 in descending order. 3, 2, -3, -4, -4.45 Sort -0.3, 94, 1, -0.4 in descending order. 94, 1, -0.3, -0.4 Put -1, 4, 8, -5, 299 in ascending order. -5, -1, 4, 8, 299 Put -37, 5, 9, 390 in decreasing order. 390, 9, 5, -37 Sort 1, 0.029, -0.1, -2233 in increasing order. -2233, -0.1, 0.029, 1 Sort 0.4, 39788.2, -4, -1 in decreasing order. 39788.2, 0.4, -1, -4 Sort -4, 0, 3, -170, -1, -11 in decreasing order. 3, 0, -1, -4, -11, -170 Put -9, 4, 9, 7, -1 in descending order. 9, 7, 4, -1, -9 Sort -4, 0, -0.5, -9, 0.0154. -9, -4, -0.5, 0, 0.0154 Sort -27063, -2, -11 in increasing order. -27063, -11, -2 Put 1, -1, -1222, -15 in increasing order. -1222, -15, -1, 1 Put 237/2, -80, 3 in decreasing order. 237/2, 3, -80 Sort 5, -7, -6603, 4, -5, -3. -6603, -7, -5, -3, 4, 5 Sort -18747, -1, 0. -18747, -1, 0 Sort 0.3, -1, 0.28338, 1, 4, 2/3 in decreasing order. 4, 1, 2/3, 0.3, 0.28338, -1 Put 0, 1358, 4 in increasing order. 0, 4, 1358 Put 4, -1755, 0 in decreasing order. 4, 0, -1755 Put -3, 14108, -9 in increasing order. -9, -3, 14108 Sort -0.3942, -7, -2/47, 1 in decreasing order. 1, -2/47, -0.3942, -7 Sort -14, 2, -4, -13, -3, -21 in descending order. 2, -3, -4, -13, -14, -21 Put 0.0888, 0.1, -0.0266 in increasing order. -0.0266, 0.0888, 0.1 Sort 5/19, -5/4, 155 in descending order. 155, 5/19, -5/4 Sort -84, -5, -111, 4 in descending order. 4, -5, -84, -111 Sort -11, 129, -24, 3 in ascending order. -24, -11, 3, 129 Sort 26, -2635, -1, -5, 8 in ascending order. -2635, -5, -1, 8, 26 Sort 4, 9, -41, -5, 5 in descending order. 9, 5, 4, -5, -41 Sort -4, 1, 13, -5, 93 in increasing order. -5, -4, 1, 13, 93 Put -6887, 0, 2, 4 in increasing order. -6887, 0, 2, 4 Sort 1, 2/45, -4, 0.27, -15, 5. -15, -4, 2/45, 0.27, 1, 5 Sort 5, 2454, -7 in ascending order. -7, 5, 2454 Sort -0.3, 1, -54935 in decreasing order. 1, -0.3, -54935 Sort -1, 4634, 28 in ascending order. -1, 28, 4634 Sort 0, -28/29, -1, -0.2, 4, -4 in descending order. 4, 0, -0.2, -28/29, -1, -4 Sort -0.5, 0.2, 422/7, 26. -0.5, 0.2, 26, 422/7 Put -3.16, 9, -96 in ascending order. -96, -3.16, 9 Sort -13, 0, 34, 4 in increasing order. -13, 0, 4, 34 Put -2, 8, 26, -4 in decreasing order. 26, 8, -2, -4 Sort 5, 0, -11, 34 in ascending order. -11, 0, 5, 34 Sort 3, -1/3, -2/15, -173, -23 in decreasing order. 3, -2/15, -1/3, -23, -173 Put -1, -5, -18886 in increasing order. -18886, -5, -1 Put -2, -4, -3, 1, -36, 28 in decreasing order. 28, 1, -2, -3, -4, -36 Sort 1, -12, 4, 16, 29 in descending order. 29, 1
{ "pile_set_name": "DM Mathematics" }
s be m(7). Let f = 15 - 11. Solve f*i - y + 3 = -s, 4*y = r for i. -1 Suppose -3*j - o + 27 = -26, -3*j - 4*o = -41. Suppose 1 = -5*l - j. Let f = 6 + l. Solve 0*q + 5*y + 13 = 3*q, 5*q + f*y = -30 for q. -4 Let x = -2493 - -2498. Let y be ((-8)/10)/((-3)/120). Suppose 5*v - v - y = 0. Solve 4*u - 4 = v, -x*u + 19 = -h for h. -4 Suppose -77*g + 127 = -104. Solve g*q = -q + 12, 3*q = -u + 9 for u. 0 Let x(b) = 2*b - 28. Suppose 3*j = a + 70 - 20, -3*a = -5*j + 90. Let d be x(j). Solve -z = -3*h + 11, 3 + 3 = -z + d*h for z. 4 Suppose 85 = 2*d + 3*d. Let p = d + -1. Suppose b = 5*m + p, -41 = -5*b + 5*m + 19. Solve -4 = -4*k, b = -0*w + 3*w - k for w. 4 Let c = -600 - -602. Solve -4*h - 4 = c*o, 4 = -4*h - 4*o + 3*o for h. -1 Let v be (-1)/1 - 2 - -6. Suppose 2 = 2*g + 5*i - 59, -v*g = -2*i - 44. Let q be 18/4 - 9/g. Solve -4*o + 2*u = 26, 3*u = q*o + 6*u + 1 for o. -4 Suppose 37*u = 40*u. Solve 0 = -5*f - 5*y - 45 + 15, -4*f + 3*y - 17 = u for f. -5 Let h(x) = -x**2 - 16*x - 49. Let s be h(-11). Let v = 6 + -4. Let b be -3*(0 + (-2)/2). Solve -4*k - b*l = s, 2*k = l - v*l - 2 for k. 0 Let u be 20/(-3)*(-42)/35. Suppose 2*g - 2 + u = 0. Let h(y) = y**3 + 4*y**2 + 2*y + 4. Let n be h(g). Solve 3*c - n*c + 19 = 3*p, -5*c = 4*p - 25 for p. 5 Let c be (18 - 14 - 12)/(-1 - 1). Solve 13 = c*x + b, 4*x + 3*b - 7 = -0*x for x. 4 Suppose -12 = 32*f - 36*f. Solve -x - 15 = -3*x + l, 2*x - f*l = 25 for x. 5 Let f(g) = -g**3 + 2*g**2 - 18*g + 38. Let r be f(2). Solve 0 = -3*o, r*b - 2*o = 3*o + 2 for b. 1 Let s(v) = 4*v - 19. Suppose 2*r = -p + 12, -5*p = r + 4 - 10. Let i be s(r). Solve 0 = -3*x + 6, -5*t + x - i*x - 2 = 0 for t. -2 Suppose -7*l + 3*l + 16 = 0. Suppose 0 = l*c + 8, 3*c + 2 = -w + c. Suppose 4*f = 3*f + w. Solve -3*o + 35 = f*o - 5*y, 0 = o + 2*y + 8 for o. 2 Let v = -527 - -529. Solve v*u = -5*x - u + 29, -3*x - 5*u + 27 = 0 for x. 4 Suppose -2*v = -3*v + 3. Let f = 6 - 2. Suppose 0 = -22*n + 16*n + 24. Solve f*t - 10 = 2*s, -n*t + v*s + 13 = t for t. 2 Suppose -334 = 8*x - 358. Solve 3*v - 4*t = -0*t - 10, -x*v = t - 10 for v. 2 Let n be 0/((-12)/3) - -10. Suppose 0 = 5*w - 5, 4*w + 0 = -3*h + n. Solve c - h*p = -7*p + 17, 4*c = 4*p - 28 for c. -3 Suppose -5*d - 53 + 3 = 0. Let n = 15 + d. Let y(g) = -2*g + 2. Let l be y(-2). Solve 4*o + 24 = k, -l + 26 = n*k for o. -5 Let s be 4 + 10 + (-3)/((-12)/(-20)). Solve 0*v - v - s = 4*i, -v + 5 = -3*i for i. -2 Suppose 27*u + 12 = 31*u. Let q be u/(2/(80/15)). Let k = 12 + -10. Solve -g - 5*a - k = 19, 4*g = -a - q for g. -1 Let w = -419 - -423. Solve -2*p + 4*p = 2*b + 14, -4*p - w*b = -12 for p. 5 Suppose -4*h = h - 105. Suppose -t = -4*t - h. Let v = 10 + t. Solve -v*b - 5 = -2*z, 4*z - 25 + 4 = -5*b for b. 1 Suppose 0 = n + 26*n - 81. Solve -n*h - 5*d - 20 = 0, h - d + 2 = -2 for h. -5 Let y = 123 + -108. Solve -w - y = -3*x + 2, -3*w = 6 for x. 5 Suppose 3*v + 2*q = 83, q + 53 = -22*v + 24*v. Suppose -5*a = -2*g + 10, -3*g - 5*a - 6 = -2*a. Solve 2*z - 4*d + 6 = 2, -3*z - 5*d + v = g for z. 4 Suppose 3 = 2*d + 1. Let s be (d - -2) + (3 - 1). Solve 0 = -4*u - 4*w - 2 + 6, 3*u + s*w - 9 = 0 for u. -2 Suppose -2 = 7*a - 37. Suppose -2*t + 15 = 3*t. Suppose 8 = -0*u + t*u - 2*v, a*v = -u + 31. Solve 0 = -3*w + 2*c - u*c - 15, -w = 4*c + 13 for w. -1 Let o be (-44)/(-2)*1*-1. Let t = -17 - o. Suppose -5*q + 4*w = -0*q - 28, 5*w + 25 = 5*q. Solve 2*i + x = -x + q, -i - t*x = -24 for i. -1 Suppose -l + 10*p - 1 = 6*p, -p - 8 = -3*l. Solve -2*o = 3*h + 2*o - l, -h + 1 = 3*o for h. 1 Suppose 0 = 5*x - 10, 2*z + x = -0*x + 32. Suppose -z - 20 = -7*r. Solve 3*u - r*u - 3*t = -5, -u + 5*t - 30 = 0 for u. -5 Let a = -240 + 248. Solve 4 = -q + 4*l - a, -2*q = -2*l for q. 4 Let d(q) = 5*q**2 - 9*q. Let k be d(2). Solve 13 = -k*i - 5*l - 4, 2*i + 2*l = -8 for i. -1 Let g(o) = -16*o - o**3 + 25 + 2*o - 8*o - 24*o**2. Let w be g(-23). Let x = 6 + -4. Solve 2*d + x = 4*d, w*d = -h + 5 for h. 3 Suppose 156 = 34*g + 18*g. Solve -4*y = l + 14, -g*y - 18 = -y - 5*l for y. -4 Let g = -11 + 31. Suppose -x = 5*r + g, 4*x = -0*r + 2*r + 30. Solve 2*p = -m + 8, 4*m - p = 1 - x for m. 0 Suppose -102*f + 103*f = 3. Solve 3*j - n - f = 0, 3 = j + j - n for j. 0 Let l(o) = o**3 + 16*o**2 + 13*o - 5. Let y be l(-15). Let x = 28 - y. Solve r + 4*w = 11, 3*w + x = 3*r - 0 for r. 3 Let g(q) = -q**2 + 7*q + 2. Let b be g(7). Suppose -16 = -0*j - 4*j. Solve -j*a + 2 = 2*r - 8, -2*a + 2 = -b*r for a. 2 Let y(d) = d - 11. Let v be y(11). Let a = 0 - v. Solve a = 2*c - 5*g + 9, 0 = -4*c - c + 2*g - 12 for c. -2 Suppose 6 = -b + 5. Let r be -6*b/(9/6). Solve 4*l + 14 = 2*l + 4*g, 12 = r*g for l. -1 Let y = 296 + -192. Let n = -94 + y. Solve -n = -2*u - 5*d, -3*u - 2 = -5*u - d for u. 0 Let x = -243 + 243. Solve -23 = -3*r + 4*s, -3*r - s = -x*r + 2 for r. 1 Let g be (-33)/(-6) + -4 - (-9)/6. Solve i - b = 4*b + 8, 0 = -g*i + 2*b - 2 for i. -2 Suppose -3*c = -0*c - 354. Let i be c/5 + 6/(-10). Let p = -15 + i. Solve k + 4*z - 8 = -k, -p = -2*k + 2*z for k. 4 Let h = -15 - -19. Suppose 0*s = -3*v + h*s - 1, -5*v + 5 = -5*s. Solve 14 + 8 = -3*i - v*d, 4*i + d + 18 = 0 for i. -4 Let l(o) be the third derivative of -o**5/30 + 3*o**4/4 - 7*o**3/3 + 11*o**2. Let b be l(8). Solve b*w + u + 15 = 0, 4*u = -w + 5*w for w. -5 Let q = 95 + -87. Solve 5*y + 4*x + q = 0, 4*y = 3*x + 7 - 1 for y. 0 Suppose -2*t = -4*p + 18, -6*p = -2*p - t - 19. Let y be (p/(-1))/(1/2). Let m be (72/60)/((-3)/y). Solve -2*i + 4*r = 10, -m - 4 = 3*i + r for i. -3 Suppose 12 = -3*d, -4*h = -2*h - 5*d - 26. Solve -3 = 3*k + h, 3*p - 2*k - 10 = 0 for p. 2 Suppose 5*k - 13 = 12. Suppose 6*b - 7 = k. Solve -m - i + 1 = -3*i, b*i - 14 = 4*m for m. -5 Let w(u) = -u**3 + 8*u**2 + 2*u - 6. Let d = 3 - -13. Suppose -3*p + 8 = -d. Let g be w(p). Solve -j - v - 2 = j, 4*j + 5*v = -g for j. 0 Suppose -2*u - 6 = 2. Let z be -26 + (u - -2 - -4). Let s = z - -32. Solve 4*m + s = 4*q - 24, 3*m = 5*q - 32 for q. 4 Let d = -6 + 8. Let i(m) = -m. Let n(y) = -2*y - 12. Let v(x) = i(x) - n(x). Let f be v(-10). Solve -3*s - 13 = f*l, -l = -d*s + l + 8 for s. -1 Let q = 22 - 25. Let r be 1*(3 - (-5 - q)). Solve -o = -h - 6, -2*h - 5 = -r*o + 13 for o. 2 Let i be -3 + 2 + (-19)/(-1). Suppose -3*r + i = -0*r. Suppose 0 = -5*m, -o + 9 = -2*m + 1. Solve n = r*n - d + o, -3*d + 4 = -5*n for n. -2 Suppose 0 = 2*s + w - 5*w + 14, 4*s - 5*w = -31. Let k be (-85)/(-35) + s/21. Solve k*t - 3*a + 35 = 2*a, -3*a + 10 = t for t. -5 Let n(s) = s + 3. Let d be n(3). Let c be (-4)/(-6) - (-14)/d. Let v be (-16)/24 + 40/15. Solve c = z + 3*k - 1, -k = -3*z + v for z. 1 Suppose 0 = 4*g - g - 15. Suppose -2*j + a = 2*a + 3, g*a = -3*j - 8. Let y be j*(-3)/(-3) + 4. Solve -r = -2*u - 3, -5*u + 9 + y = 4*r for r. 3 Suppose 32 = 3*u + 5*g, 3*u + g - 25 = 3*g. Suppose u*z - 135 - 54 = 0. Solve i = -4*j - 0 - z, -2*i + j - 6 = 0 for i. -5 Let n be -8 + (15 + -9 - -4). Solve 3*k - 9 = 4*x - x, x = -n*k for k. 1 Let x be (-28)/(-8) + 4/8. Suppose 5*j - o = -0*o + 7, 6 = x*j - o. Solve 3*s - 2 = -2*s + 3*w, -4*w - j = -5*s for s. 1 Suppose -4*c + 390 = 9*c. Solve c = -2*s - 5*f, -3*s = -f - 4*f - 5 for s. -5 Let x(j) = 5*j - 25. Let o be x(6). Suppose y = -o + 9. Solve -y*n + 5*i = 12, -n - i + 10 = 2*n for n. 2 Let v(r) = 5*r + 6. Let m be v(-4). Let g = 17 + m. Suppose -4*o + 2*l + 6 = 0, 3*l = g*o - 0*o - 3. Solve 0 = 4*k + k + 5*s - 5, 0 = -o*s for k. 1 Suppose 6*q + 1 = 9*q - j, 4 = -4*j. Solve 4*f + 4*n = q, 0 = -5*f - 0*n + n + 18 for f. 3 Let r = 514 + -493. Solve -6*a - d + r = -2*a, 2*a - 8 = 2*d for a. 5 Suppose 5*u = 3*u + 4*p + 24, 2*u + 5*p - 15 = 0. Solve 7 = -n + 4*v, -24 + u = -n - 3*v for n. 5 Suppose 3*v = -33*k + 37*k + 2, 4*v - 2*k = 6. Let g = 11 - -28. Suppose g - 3 = 3*w. Solve -3*r - 4*f = -14, w = -v*r + 3*r + 5*f for r. 2 Let h = 21 - 18. Suppose -15 = -4*c - h. Suppose 0 = -p + m + 5, -12 = -c*p + m - 3. Solve 3*a - 1 = v, -a = -5*v + p*v - 3 for v. -1 Let n = 40 + -77. Let p = n - -7. Let b be (16/(-3))/4*p. Solve -5*j + b = 5*d, -4*j + 10 = -4*d + 2 for j. 5 Let u(z) = z**3 - 15*z**2 + 5*z - 72. Let g be u(15). Solve 0 = -g*n - 3*w - 21, 11 = -5*n - 4*w - 22 for n. -5 Suppose 0 = b - 3, 0*q + 15 = 2*q + b. Let i be 0*2/q + 1. Solve 4*r + 16 = 0, -3*r + 5 - i = 4*k for k. 4 Let d b
{ "pile_set_name": "DM Mathematics" }
arrange 8 + 12*w**2 - 3*w**2 + w**3 - 245*w**4 + 249*w**4 to the form v*w**2 + p*w + n*w**4 + i + t*w**3 and give i. 8 Express -4 + 2011*t - 773*t - 859*t in the form j + d*t and give j. -4 Express (-5*b**2 + 3*b**2 + 0*b**2)*(-13127 + 3400 + 2542) as p + r*b + o*b**2 and give o. 14370 Express -5 + 90*q**2 + 87*q**2 + 115*q**3 - 9*q - 172*q**2 + 9*q in the form a*q**3 + x*q + k + y*q**2 and give x. 0 Express 2*x - 105 - 186 + 451 + 1078 + 357 as i + j*x and give i. 1595 Rearrange 88*d**2 + 302*d**2 - 73*d**2 - 2*d - 125*d**2 + 413*d**2 to x*d**2 + p + y*d and give p. 0 Express -9 + 45 - 18339*v - 20 - 16 as u*v + r and give r. 0 Express (-7 + 0 - 1)*(-18488*n**2 - 169*n**3 + 18488*n**2) in the form u*n + f*n**3 + h + l*n**2 and give f. 1352 Express 4*a**4 - 2*a**2 + 2*a**2 + (a - a + 2*a)*(2063*a**3 + 1147*a**3 + 2291*a**3) in the form l*a**4 + v*a**3 + f + t*a**2 + r*a and give v. 0 Express (-1 - 4 + 3)*(2*t - 2*t + t) + 0*t + 0*t - 7*t + 17*t + 21*t - 60*t in the form q + g*t and give g. -31 Express 2*m**3 - 1 - 4*m**3 - 6*m**4 + 4*m**4 + (-5*m - 6*m - 3*m)*(2 - 12*m - 2)*(m - m - m**2) as o*m + h*m**2 + y*m**4 + f*m**3 + k and give h. 0 Rearrange 17134*r**2 - 17209*r**2 - 2*r - 33*r**3 + 37*r**3 to c*r**2 + i*r + a + j*r**3 and give i. -2 Rearrange 46*z - 183*z**2 + 4 - 21 - 40*z + 19 to the form b*z + c*z**2 + i and give i. 2 Rearrange (8 - 4 + 7)*(0*l - 2*l + l)*(2*l**3 + l**3 + 18*l**3) to m*l + d + k*l**2 + w*l**4 + v*l**3 and give w. -231 Express -306*x**3 + 423*x**3 - 572*x**3 - 1 + 2*x**2 as w*x + t + r*x**2 + g*x**3 and give w. 0 Express 341 - 4*d**3 - 635 + 5*d + 346 - 6*d + 5*d in the form b*d**3 + m + x*d**2 + g*d and give b. -4 Express -2*a**3 - 19*a - 14*a + 64*a**2 + 49*a - 1 - 14*a - 4*a**4 + 6*a**4 in the form b + f*a**3 + r*a**4 + i*a**2 + u*a and give u. 2 Express (4 + 2 - 4)*((-4 + 1 + 2)*(3 - 2 + 1) + 120 + 112 + 141)*(2*q + 2*q + 0*q) in the form a + k*q and give k. 2968 Rearrange 363*o**3 - 700*o**3 + 647*o**3 + (-2 + 1 - 1)*(-4 + 4 + o**3) - 2*o**3 - o**3 + o**3 to the form l*o**2 + b*o**3 + q + k*o and give b. 306 Express -4 + 4 + 6*f**3 + f**3 - f**3 - f**3 + (44 - 17 - 65)*(0 + f**3 + 0) as p + i*f + w*f**3 + v*f**2 and give w. -33 Express 245*j - 617*j - 454*j - 129 + 129 as b + m*j and give m. -826 Express 416 - 1955*l - 885 + 469 as w + t*l and give w. 0 Rearrange 244*q**2 + 851*q**2 + 3312167*q**3 - 3312168*q**3 to m + s*q + h*q**2 + g*q**3 and give h. 1095 Rearrange (-2*c + 8*c - 10*c)*(-55*c + 981 - 981)*(-2*c**2 + 1 - 1) to the form s*c**2 + n*c**3 + f*c + j*c**4 + h and give j. -440 Rearrange -9*l - 7*l**3 - l**2 + 182 + 97 - 273 to the form r + j*l**2 + d*l**3 + z*l and give d. -7 Rearrange (-4*f - 3*f**2 + 4*f)*(29 + 47 + 56)*(0 + 2 + 2) to x*f**2 + j + r*f and give x. -1584 Rearrange 1484963*b**3 + 3*b**4 - 640 - 228 - 1484961*b**3 to d*b + a*b**2 + r*b**3 + x*b**4 + f and give f. -868 Express ((-233 - 174 + 183)*(-2 - 1 - 1) + 1 + 1 - 3)*(-2*z**2 - 3*z**2 + 4*z**2) in the form q*z + x*z**2 + h and give x. -895 Express -771*j + 773*j + j**3 - j**2 - 3*j**3 + j**3 - 46 in the form y*j + i + u*j**2 + c*j**3 and give y. 2 Rearrange (-71 + 37*h + 71)*(20 + 4 + 587*h**2 - 589*h**2) to r + b*h + i*h**2 + u*h**3 and give b. 888 Rearrange (577*j + 1253*j + 716*j)*(j**2 - 2*j**2 - j**2) to n*j + t*j**2 + h*j**3 + r and give h. -5092 Rearrange 3010 - n**3 - 200*n**4 + 40*n + 202*n**4 - 2*n**2 + n**2 - 39*n to v + u*n**4 + h*n**2 + x*n + r*n**3 and give v. 3010 Rearrange (-2*v - 2*v + 3*v)*(0*v + 4*v - 2*v) + (-51 - 9 + 23)*(-270*v**2 + 23*v**2 + 565*v**2) + (-2 + 2 + v)*(v + 2*v - v) to l*v**2 + w*v + n and give n. 0 Express (-8831*y - 56659*y + 13109*y - 15836*y - 27424*y - 10233*y)*(-y**3 + y**3 - y**3) as l + k*y**4 + b*y**2 + t*y**3 + x*y and give k. 105874 Express -z - z + 0*z + (-5 + 0 + 0)*(2*z + 5*z + z) + 2*z - 3*z + 6*z + (-4 + 0 + 5)*(0*z + 2*z - z) as a*z + g and give a. -36 Express -3*j - j - j + (2*j - 10*j - 9*j)*((-2 - 5 - 7)*(1 - 4 + 2) + 0 - 2 + 3) as m*j + t and give m. -260 Rearrange (-11 + 14*l + 8 + 2)*(799 - 906*l**3 - 799) to r*l**3 + o*l + s*l**2 + m*l**4 + n and give s. 0 Express -6*d**2 - 5*d + 11*d**4 + 18*d + 4 - 12*d + 6*d**3 - 5 in the form v + g*d**2 + z*d**3 + h*d**4 + l*d and give h. 11 Rearrange -10*i - 1924*i**2 + 1 + 965*i**2 - 23*i**4 - 2 - 2*i**3 + 957*i**2 to the form z*i + p + q*i**4 + s*i**3 + v*i**2 and give v. -2 Express (-7*l - 7*l - 25291 - 70*l + 82*l)*(-2*l - 1 + 1) as a*l**2 + i*l + n and give i. 50582 Rearrange -s + s + 5*s - 6*s + 11 - 11 + (0*s + s - 3*s)*(4 + 2 - 3) to the form n + q*s and give q. -7 Express 12*l + 713 - 712 + 63*l + 0 - 3*l + 0 + l + 2*l - 2*l + (l + 0*l + l)*(-5 + 2 + 1) as v*l + a and give a. 1 Express 23151*t - 102 + 320 - 113 - 105 in the form u + v*t and give v. 23151 Express 385 + 3013*q - 385 + 699*q as x*q + a and give x. 3712 Rearrange -2347*z**3 - 32 + 4712*z**3 - 4*z - 2*z**4 + 5*z**2 - 2366*z**3 to the form i*z**3 + j + r*z**4 + k*z**2 + o*z and give j. -32 Express -3615*v - 2390*v + 1363*v as w*v + o and give w. -4642 Rearrange -1 - 1 - 3261533*x**3 + 3262302*x**3 to the form v*x**3 + c*x**2 + i + r*x and give i. -2 Rearrange -25 + 11563965*b**2 + 2*b - 11563953*b**2 + 6 + 2*b**3 to h + d*b**3 + z*b + r*b**2 and give r. 12 Rearrange -598541 + 598541 + 8402*v to the form m*v + q and give m. 8402 Express 11 + 12 - 36 + 21 + 25*h**4 + h**2 in the form z*h**3 + a*h**4 + x*h + g + k*h**2 and give k. 1 Rearrange -2*j + 1318 - 17 + 7778 + 1831 + 3204 to the form b + p*j and give b. 14114 Express ((-3 - 2*f + 3)*(-1 - 10 - 8) - 1 + f + 1)*(-2*f - 5*f - 8*f)*(-2 - 9 + 2)*(-1 + 1 - 2*f)*(0 - 1 - 1) in the form i*f + d*f**3 + s*f**2 + m and give d. 21060 Express (-2*h + 1 - 1)*(0 - 1 - 2) + h + 3*h - 3*h + (25 - 25 + 5*h)*(0 + 2 - 3)*(-2 + 2 - 2)*(-12 - 25 - 457) as u*h + o and give u. -4933 Express 1254*w + 2228*w + 1732*w + 445*w as l + c*w and give c. 5659 Express (-2*j + 5*j + 0*j)*(j - 12*j - 14*j - j - 16 - 19*j) in the form r + z*j + n*j**2 and give z. -48 Express -143*z**2 - 13*z + 293*z**2 - 15*z + 32*z - 117*z**2 in the form p + f*z**2 + g*z and give f. 33 Express (6*i + 48 - 48)*(12 + 4*i - 5 + 5) in the form s + a*i**2 + r*i and give a. 24 Express (146 - 146 - 155*s**2)*(-s**2 - 4*s + 4*s) + 43*s**4 - 1689 + 1689 as r*s**3 + d*s + x*s**4 + a*s**2 + z and give x. 198 Rearrange (-48*x + 8*x - 75*x)*(-5 + 15 + 1)*(-2*x - 2*x + 3*x) to the form r + k*x**2 + p*x and give k. 1265 Express 1577*t + 1661*t - 693413*t**2 + 693414*t**2 as z*t + f*t**2 + x and give f. 1 Rearrange -u**2 + u**2 - 112 - 102 - 342*u**4 - 15*u + 213 to b*u + s*u**4 + t + d*u**3 + q*u**2 and give b. -15 Express -1326*f**2 + 1141*f**2 - 3838*f**2 as s + i*f**2 + k*f and give s. 0 Express -1 + 16 - 1 + 14 + 19 + 2*f in the form d + h*f and give h. 2 Express (66 - 6 + 6)*(2*z - z + z + (1 + 0 + 1)*(-2*z + 0 + 0) + (0 - 2 + 3)*(-3*z - 2*z + z)) in the form b*z + d and give b. -396 Express -291767 + 291767 - 1441*f**3 + (6 + 12 - 4)*(f**2 - f**2 - f**3) + 4*f**3 - 2*f**3 + 0*f**3 as q*f**2 + a*f**3 + x*f + p and give x. 0 Rearrange 69*f**4 + 2*f**3 - 73*f**4 + 52*f**2 - 9*f**2 + f + 0*f**3 - 86 - 38*f**2 to w*f**3 + o*f**4 + z*f**2 + i + s*f and give i. -86 Express -2 + 17298432*g**3 - 3*g**2 - 17300035*g**3 + 2 in the form l + k*g + d*g**3 + r*g**2 and give r. -3 Express (a - 4 + 4)*(5 - 3 - 3)*(-4 - 1 + 1)*(2 - 3 - 1)*(11676 - 4055*a - 11676) as s + r*a + k*a**2 and give s. 0 Rearrange 8589712*j - 51*j**2 + 12 - 8589712*j to the form x + h*j**2 + i*j and give x. 12 Rearrange -4 + 9 + 4 - 9 + 2281*q to the form w*q + i and give w. 2281 Express -102*l - 2248*l**2 + 1138*l**2 + 1146*l**2 - 24*l in the form p*l + b*l**2 + g and give b. 36 Express 508*n - 226*n - 129 - 287*n as i*n + h and give h. -129 Rearrange 5*d - d - 3*d + 1 + 4*d - 1 - d + 2*d + 0*d + (2*d - 4*d + d)*(2 + 0 + 0) - 1184*d - 207*d + 596*d - 1062*d - 2348*d to the form h + u*d and give h. 0 Rearrange (-185*d**2 + 7460*d - 7460*d)*(2*d**2 + 31 + 5*d - 31) to the form j*d**2 + y*d + m*d**3 + r + z*d**4 and give m. -925 Express -3 + 5996*a + 4 - 1 - 190*a in the form s*a + y and give s. 5806 Rearrange 5 - 10*b**4 - 59*b**3 - 60*b**3 + 119*b**3 - 6*b - 11*b**4 to i*b + h*b**2 + p*b**3 + k*b**4 + o and
{ "pile_set_name": "DM Mathematics" }
ress 70*v + 73*v - 120*v in the form m*v + x and give m. 23 Express -4*y**4 - 5*y**3 - 5*y - 2*y + 7*y**3 + 2*y**4 + y**2 as l + a*y**4 + u*y**3 + c*y**2 + h*y and give a. -2 Express 0 - 9 + 2*y**4 - 2*y + y**4 + 8 + 2*y**2 + y**3 in the form s*y + o*y**4 + i*y**2 + p*y**3 + c and give i. 2 Express (5 - 3 + 1)*(-2*n**3 + 3*n**3 + n**3) + 3*n**3 + n**3 - 2 - 5*n**3 - 4*n**3 - n**3 + 4*n**3 in the form i + x*n**3 + b*n**2 + d*n and give i. -2 Express 69*h**2 - 74*h**2 + 10*h + 1 - 1 as f + d*h + n*h**2 and give d. 10 Rearrange 5*z + 8 - 8 + 2*z**2 + (4*z - 4*z + 3*z)*(4 - 2*z - 4) to f*z**2 + h + y*z and give y. 5 Express 581*g**4 - 2 - 584*g**4 + 2*g**3 + 3*g**2 + 1 + g as y*g**4 + r*g**2 + c*g + h + m*g**3 and give m. 2 Rearrange -4*d**3 + d**2 - 103*d + 3*d**3 + 101*d to v + l*d**2 + f*d**3 + a*d and give l. 1 Rearrange -3*l**2 + 40*l**2 - 15 + 15 to g*l**2 + m + z*l and give g. 37 Express ((5*m + 0*m - 4*m)*(1 - 3 + 1) + 4*m - m - 6*m)*(-2 + 21 + 11)*(-2*m - 2*m + 2*m) as w + p*m + d*m**2 and give d. 240 Rearrange -d**2 - 4*d**3 + 0*d**3 - d + 0*d**2 + 0*d**3 to c*d + b*d**2 + y + k*d**3 and give k. -4 Rearrange -1 + 83*z**2 + 80*z**2 - 158*z**2 to v*z + j + n*z**2 and give n. 5 Rearrange (-7 + 4 - 2)*(1 - 2*b**2 - 1) + 5*b**2 - 3*b**2 - b**2 to the form z + l*b**2 + r*b and give l. 11 Express 3*x**4 + 0 + x**3 - 3*x**4 - 2*x - 1 - 2*x**4 in the form u*x**2 + i*x**3 + o + z*x + l*x**4 and give z. -2 Express -48*p**4 + 28*p**4 + 2*p**3 + 25*p**4 - 12*p**2 as d + c*p**4 + b*p + m*p**2 + t*p**3 and give t. 2 Express -147*t**3 - 2*t**2 + 69*t**3 + 66*t**3 - t in the form h*t + p*t**2 + q + k*t**3 and give p. -2 Express 8*n**3 - 12 + 5*n**3 + 4*n**3 + 14 in the form f*n + j*n**2 + b + o*n**3 and give o. 17 Express -3742*v + 0 + 3741*v - 20*v**4 + 1 - 2*v**3 in the form g*v**3 + o*v + z*v**4 + y*v**2 + d and give d. 1 Rearrange -11*c**2 - 11*c - 6*c**2 + 11*c to m*c**2 + a + k*c and give m. -17 Rearrange -3*j + 17 - 17 + 14*j to s + a*j and give a. 11 Rearrange -8*h - 84*h**2 + 6*h + 2*h to s + b*h + i*h**2 and give i. -84 Express (74*i - 27*i - 8*i)*(-2*i**2 + 5*i**2 - 4*i**2) + 3*i - i + 4*i**3 - 3*i**3 as n + p*i**2 + x*i + v*i**3 and give v. -38 Express (2 - m - 5 + 3*m)*(-11*m + 16*m + 11*m) in the form t*m + h*m**2 + j and give t. -48 Express -p**2 - 2*p**3 + 5*p**4 + 2*p - p**3 - 3*p**4 in the form i*p**4 + a*p**3 + h*p**2 + r + o*p and give a. -3 Express (-2 - 3 + 3)*(0*j**2 + 0*j**2 - 2*j**3) + (-j**2 + 2*j**2 - 3*j**2)*(5*j - 4*j + j) + 7*j**3 - 4*j**3 + 9*j**3 as a + p*j + g*j**3 + w*j**2 and give p. 0 Express 14*o + 5*o + 12*o - 17*o in the form p*o + m and give p. 14 Rearrange 2*r**2 + 2 + 7 - 3 - 4 to t + o*r + f*r**2 and give t. 2 Rearrange 65 - 65 - 29*g to the form c + b*g and give b. -29 Rearrange (9*b + 17*b - 8*b)*(-4 + 4 + 1)*(-2 + 1 - 1) to z + p*b and give z. 0 Express -15*l - 30 - 29*l + 30 as j + c*l and give c. -44 Express (2*s**2 - 3*s**2 + 3*s**2)*(-2 + 1 + 2) + 0*s**2 + 2*s**2 + 0*s**2 + (-2*s + 3*s + 0*s)*(2*s + 4*s - 4*s) as h + b*s**2 + j*s and give b. 6 Express -7*k - k + k + k in the form y*k + u and give y. -6 Express -10*d**4 + 41*d - 41*d + (-d**4 + 4*d**4 - 4*d**4)*(-3 + 4 - 4) as c*d**4 + u*d**2 + a + z*d**3 + h*d and give h. 0 Rearrange 0*w + 15*w - 11*w + 38*w to c*w + a and give c. 42 Rearrange 0*u + u - u**2 - u**2 - 15*u**2 to m + k*u**2 + t*u and give k. -17 Express 10*l - 14*l - 5*l as z*l + r and give z. -9 Express -11*m + 15*m - 10*m in the form j*m + c and give j. -6 Rearrange -2*j - 8*j - j - 10*j to the form t + z*j and give z. -21 Express (-4 + 4 + 1)*(26*s + 4*s - 4*s) in the form z*s + j and give z. 26 Rearrange (-5 - c + 5)*(4*c**2 + c + 0*c**2 - 5*c**2) to the form i*c**2 + x + s*c**3 + m*c and give i. -1 Rearrange 13 + 1 - 4 + a to o*a + p and give o. 1 Express -2*n**2 + 3*n - 3*n - 2 - n as u*n**2 + p*n + d and give p. -1 Rearrange -3*y + 1 + 12*y + 1 to the form l*y + f and give f. 2 Rearrange -4*i + 28 + 3*i - 2*i + 4*i to the form y*i + b and give y. 1 Express 8*z - z + 30 - 32 in the form j + q*z and give j. -2 Rearrange -2 + 142*q + 5 + q**2 - 140*q to the form g*q + y + u*q**2 and give u. 1 Express (-4*y - 3*y + 4*y)*(-2*y**2 + 3 - 3) + 3*y**3 - 2 - 3*y**3 - 2*y**3 as w*y + d*y**3 + k*y**2 + c and give c. -2 Express (-3*u + 0*u + 2*u)*(-3 + u + 4 + u**2 - 4*u) as f*u**3 + d*u + q + t*u**2 and give d. -1 Express -k**2 + 257*k + 8*k**2 - 252*k in the form y + p*k**2 + g*k and give g. 5 Express 0*v**3 + v**4 + 0*v**2 + 8*v + v**3 - v**2 - 9*v in the form z + p*v**4 + u*v + y*v**2 + g*v**3 and give g. 1 Rearrange -g**2 - 4*g**3 + 0 - 3 + 5 + 2*g**3 to the form b*g + s*g**3 + o + k*g**2 and give b. 0 Express -9 + 9 - 9*x**2 + (0 + 0 + 2*x**2)*(2 - 1 - 3) + (-4 - 2*x + 4)*(0*x - 2*x + 5*x) in the form j*x**2 + y*x + s and give j. -19 Rearrange 16*c - 11*c + 7*c + 3 to the form g + a*c and give a. 12 Rearrange -22*r**2 + 15*r**2 - 17*r**2 + (-3*r + 5*r - 4*r)*(2*r + 4*r - 4*r) to c*r + l + o*r**2 and give l. 0 Rearrange (7*s - s - 2*s)*(0*s - 3*s + 2*s)*(7 - 28 + 2) to y + g*s**2 + i*s and give g. 76 Express ((-1 - 2 + 5)*(-2 + 2 + 3*c**2) - 2*c**2 + 2*c**2 - 3*c**2)*(79 - 79 - 5*c) as b*c**3 + o*c**2 + d*c + q and give b. -15 Rearrange 6*y**2 - 1 + y**4 - 82*y**3 + y + 82*y**3 to h + t*y**3 + x*y**4 + a*y**2 + q*y and give q. 1 Rearrange 0*o - o + 3*o + 0*o - 29 to k + v*o and give k. -29 Express 140*x**3 - 4 - 274*x**3 + 136*x**3 - x**2 - 2*x as j*x**2 + u*x + v + g*x**3 and give j. -1 Rearrange -33 - 2*x + 11 - 38 + 0*x to h + q*x and give h. -60 Rearrange -g**2 - 15*g**3 - 11*g**3 + 1 + 24*g**3 + 0 - g - 2*g**4 to t*g**4 + s*g + a*g**2 + w + k*g**3 and give a. -1 Rearrange c + 5*c**4 - 5*c**3 + 0*c**3 - 3*c**4 - 3*c**4 to k + o*c**2 + a*c**4 + w*c**3 + l*c and give l. 1 Rearrange ((-2 - 4 + 0)*(-2*q + 3*q - 2*q) - 3 - 2*q + 3)*(3 + 2 - 7) to the form m + j*q and give j. -8 Rearrange -25*x**2 - 26*x**2 + 54*x**2 - 2*x to v + n*x**2 + k*x and give n. 3 Express -4*c + 12*c**3 + 6*c + 0*c - 4*c as i*c**3 + h + m*c + k*c**2 and give m. -2 Express 4*a - 1 - 12*a + 1 in the form n + b*a and give b. -8 Express 9*g + 2*g + 10*g + 0*g in the form u + o*g and give o. 21 Rearrange -x - x - 156 + 79 - 22 to t + r*x and give r. -2 Rearrange (h + 4*h - 7*h)*(3*h - 2 + 4*h - 3*h) to the form r + d*h + y*h**2 and give y. -8 Rearrange 44*z**2 - 114*z**2 - 2 + 1 + 59*z**2 to the form y*z + o*z**2 + c and give c. -1 Express -6*a - 249*a**2 + 255*a**2 + 2*a as v + q*a**2 + i*a and give i. -4 Rearrange (3*h + 3*h - 2*h)*(3*h**2 - h**2 - h**2) - 6*h**3 + 12*h**3 - 3*h**3 to v*h**2 + b*h**3 + n + r*h and give b. 7 Express -15 - 6*s + 41 - 26 in the form u + d*s and give d. -6 Express (-3 + 3 - 1)*(3 - z - 3)*(-9*z + 10*z - 2*z) in the form i*z + x + p*z**2 and give x. 0 Rearrange 1 - r**2 + 0 + 15*r**3 - 12*r**3 - r**4 to the form j*r**3 + g*r**4 + m*r**2 + v*r + z and give j. 3 Express -l**4 + 5*l**4 + 2*l**4 + 3*l**4 - 6*l**4 + 4*l**4 + (-7*l + 3*l + 2*l)*(-3 - 3*l**3 + 3) as d*l**4 + w*l**3 + g*l + y + s*l**2 and give s. 0 Express (7*n + 7*n + 4*n)*(-n**2 + 2 - 2) as u + g*n + k*n**3 + i*n**2 and give g. 0 Express (-1 - 1 + 1)*((-3*m - m + 3*m)*(-1 + 3 - 4 + (0 + 1 + 1)*(-21 + 12 - 11)) - m + 4*m - m) as s*m + v and give s. -44 Express -9 + 12 + 17*y + 0 - 3*y as c + g*y and give g. 14 Express (3*z**3 + 3*z**3 - 3*z**3)*(-16*z + 9*z + 9*z - 96) as i*z**2 + f*z**3 + h*z**4 + j + b*z and give h. 6 Express 34*z**2 - 1 + z - 2 - 3*z**4 - 32*z**2 as t + a*z**3 + n*z**4 + o*z + b*z**2 and give t. -3 Rearrange 2*k**3 - 4 - 1403*k**2 + 1403*k**2 to the form b*k**2 + i*k + j*k**3 + p and give i. 0 Rearrange 4 + x**2 - 2*x**3 - 12 - 2*x + 8 to l*x + c + m*x**3 + u*x**2 and give u. 1 Express ((-2 + 0 + 0)*(2 - 2 - 2) + 1 + 0 + 0 + 3 - 2 - 2)*(0*p**3 + p**3 + p**3) as t*p**3 + h*p + k*p**2 + i and give t. 8 Express (-7 - 14 + 7)*(2*h + h + 2*h) in the form v*h + w and give v. -70 Express (-x + 0*x + 0*x)*(2*x - x + 0*x) - 5*x**2 + 4*x**2 + 3*x**2 - 3*x**2 + x**2 - x**2 - 3*x**2 + 6*x**2 - 4*x**2 in the form n*x + c + w*x**2 and give c. 0 Rearrange 5*u - 5*u - 77*u**2 to r + x*u + c*u**2 and give c. -77 Rearrange -6*f**3 + 2*f**2 - 4*f**4 - 7*f**4 + 10*f**4 + 4*f**3 + 6 to the form w*f + u*f**4 + m + q*f**3 + r*f**2
{ "pile_set_name": "DM Mathematics" }
t derivative of -39330195*x + 415726702? -39330195 Differentiate 2930*j*n**2 + 2501*j - 312*n**2 - 4*n - 509 with respect to n. 5860*j*n - 624*n - 4 Find the second derivative of 197*f**2*n - 93444*f**2 + 12*f*n + 760*f + 18*n wrt f. 394*n - 186888 Find the third derivative of -863925580*f**3 - 2*f**2 + 817722797 wrt f. -5183553480 Find the third derivative of -70347*p*x**5 - 26*p*x**2 + 42*x**3 - 178*x**2 + 14*x + 2 wrt x. -4220820*p*x**2 + 252 What is the first derivative of 118*c**4 - 41268*c + 6528080? 472*c**3 - 41268 Differentiate 275*j**2 + 183049*j - 256145086 wrt j. 550*j + 183049 Find the second derivative of -423915300*j**2 - 110000074*j wrt j. -847830600 Find the second derivative of -11419469*s**5 + 3*s - 819958 wrt s. -228389380*s**3 Find the third derivative of 16330061*q**4 + q**2 - 5*q - 209509 wrt q. 391921464*q Find the second derivative of -35791152*k**2 + 7950*k + 7281. -71582304 Find the second derivative of -39*h*t**3 + 768*h*t**2 + 486*h*t - 6*h + 2*t**3 - 331*t**2 + 853*t - 13 wrt t. -234*h*t + 1536*h + 12*t - 662 Differentiate 10380*n**2 - 324*n + 6893992. 20760*n - 324 What is the third derivative of -13495731*p**3 - 12424092*p**2 wrt p? -80974386 Find the second derivative of 348456718*b**3*k**2 + 57*b**3*k + 537*b**3 - 37*b**2*k - b*k wrt k. 696913436*b**3 Find the first derivative of 375964623*h**3 + 270716153 wrt h. 1127893869*h**2 Find the first derivative of -25*d**2 - 2327375*d - 204145474 wrt d. -50*d - 2327375 What is the second derivative of 7084574*w**5 - 7879365*w? 141691480*w**3 What is the second derivative of -363*b**5 - 2134*b**4 + 136272*b - 20? -7260*b**3 - 25608*b**2 Find the second derivative of 1033553583*g**2 - 1060963422*g. 2067107166 Differentiate -7*c*g + 169918909*c - 34*g**4 + 22368*g**2 wrt g. -7*c - 136*g**3 + 44736*g Differentiate 8494111*w**3 + 2587827 with respect to w. 25482333*w**2 Find the third derivative of 39049101*m**6 - 742014*m**2 - m wrt m. 4685892120*m**3 What is the third derivative of -136899358*q**3 - 2*q**2 + 197565419? -821396148 Differentiate -u*w + 1560432*u + 1014*w + 3134 with respect to u. -w + 1560432 Differentiate -1288910*v**3*z**2 + 78528*v**3 + 13*v**2 - 2*v*z**2 wrt z. -2577820*v**3*z - 4*v*z What is the third derivative of -85*m**4*v**2 + 64272*m**3*v**3 - 27*m**2*v**3 - 32808*m**2*v**2 - 3*m**2 + 2*m wrt m? -2040*m*v**2 + 385632*v**3 What is the first derivative of -3537*c**2*q + 14*c**2 + 83*c*q - 1624*q - 36447 wrt c? -7074*c*q + 28*c + 83*q What is the second derivative of 8*u**4 + 73*u**3 - 63597*u**2 - 303398899*u wrt u? 96*u**2 + 438*u - 127194 What is the third derivative of 2*j**6 - 2615271*j**4 - j**3 + 92*j**2 + 2*j + 34878 wrt j? 240*j**3 - 62766504*j - 6 Find the third derivative of -14934988*t**5 - 2*t**4 - t**3 + 114*t**2 - 93795*t. -896099280*t**2 - 48*t - 6 What is the derivative of 15*b**4 + 851025*b**2 - 611108372 wrt b? 60*b**3 + 1702050*b Find the first derivative of -17479*g**4 + 295*g**2 + 136793853. -69916*g**3 + 590*g Find the third derivative of 20139*t**4 - 5689*t**3 - 336*t**2 + 10725. 483336*t - 34134 What is the derivative of -1326945*r**3 - 2*r - 6741489 wrt r? -3980835*r**2 - 2 Find the third derivative of 180949*n**3*v**3 - n**3*v**2 - 118*n**3 - 3319393*n**2*v + 8*v**3 wrt n. 1085694*v**3 - 6*v**2 - 708 Find the third derivative of -268934596*d**3*f**3 + d**3*f - 19*d**3 + 5*d**2*f + d*f**2 - 2*d - 396755 wrt f. -1613607576*d**3 What is the derivative of -50944411*a + 40042826 wrt a? -50944411 What is the second derivative of -6*c**2*i**2 + 5*c**2*i*t**3 + 46726*c**2*t + 360*c*t - i**2*t + 725*t**3 wrt c? -12*i**2 + 10*i*t**3 + 93452*t Differentiate 2*g**2*w - 250837509*g**2 + 91588084*w wrt w. 2*g**2 + 91588084 What is the third derivative of -674848502*g**5 - 177386101*g**2? -40490910120*g**2 What is the second derivative of -2*s*v**3 - 1778*s*v - s + 89417647*v**3 - 618*v + 8 wrt v? -12*s*v + 536505882*v Find the third derivative of 11446291*r**3 - 33*r**2 + 204493*r. 68677746 Find the third derivative of -87219043*m**4 + 25*m**2 - 19*m + 59216. -2093257032*m What is the second derivative of -1411973*w**2 - 465005*w - 5 wrt w? -2823946 Differentiate -231796*b*h*n*w - 5*b*h - 4*b*n - 6*h*n**2 - 2*h*w - 9*h + 6*n**2*w - 1852*n**2 - 3*n with respect to w. -231796*b*h*n - 2*h + 6*n**2 What is the derivative of 568*c**3 - 23*c**2*p + 53*c*p**2 - 12040053*p**2 wrt c? 1704*c**2 - 46*c*p + 53*p**2 What is the second derivative of 168975191*g**2*j**3 - 4300*g*j**2 + 23*g*j + g - j**3 + j**2 - 7 wrt g? 337950382*j**3 Differentiate v**2*y - 2*v**2 - 695*v*y + 257891*v - 34*y - 4 wrt y. v**2 - 695*v - 34 Find the third derivative of -152259213*w**6 - 2*w**4 + 131076*w**2 - 21*w wrt w. -18271105560*w**3 - 48*w What is the second derivative of -35208305*j**3 + 198529403*j? -211249830*j Find the second derivative of -25999537*r**4 + r**3 + 2*r**2 + 28141168*r - 1. -311994444*r**2 + 6*r + 4 Differentiate 7674882*n**3*q**2 + 10*n**3 - 26*n**2 - 8030*n + q**2 with respect to q. 15349764*n**3*q + 2*q What is the derivative of -69588329*f + 603091648? -69588329 What is the first derivative of 3689337*v**4 + 2*v**3 + 17046723? 14757348*v**3 + 6*v**2 Find the third derivative of -60644073*u**3 - 1645*u**2 - 222*u - 1 wrt u. -363864438 Find the first derivative of -178*k**3 + 210007*k**2 + k + 55994414 wrt k. -534*k**2 + 420014*k + 1 Find the third derivative of -392*b**4 - 70712*b**3 + 3437250*b**2 - 31*b wrt b. -9408*b - 424272 Differentiate 454*b**3*d**3 + 101*b**3 + 4*b**2 - 1261*b + 134*d**4 - 2 with respect to d. 1362*b**3*d**2 + 536*d**3 What is the third derivative of -685181794*k**3*p - k**3 + 1028518*k**2*p + 408*k**2 wrt k? -4111090764*p - 6 Find the first derivative of 145666105*s + 105243525 wrt s. 145666105 Find the second derivative of 2*w**3 + 84608843*w**2 + 31984008*w. 12*w + 169217686 What is the third derivative of -2837861*f**3 - 314*f**2 - 6045*f wrt f? -17027166 Find the third derivative of -25*g**5 - 292294*g**3 - 673149*g**2 + 9*g - 6 wrt g. -1500*g**2 - 1753764 Find the second derivative of 90115*a*h**3 - 5*a*h**2 + 110*a*h + a - 226*h**3 - 2*h**2 - 63*h + 94 wrt h. 540690*a*h - 10*a - 1356*h - 4 What is the second derivative of -1728232*p**3 - 912588*p wrt p? -10369392*p What is the third derivative of -178155*p**4*t - 15*p**4 - 8315*p**2 - 3*p*t - 29*p wrt p? -4275720*p*t - 360*p Find the third derivative of -22938*h**3 + 24928694*h**2. -137628 Differentiate -27990385*b - 31281926. -27990385 Find the second derivative of -22369228*g**2 - 15433427*g wrt g. -44738456 Find the first derivative of -22050*t*v - 12548263*t - 47*v wrt v. -22050*t - 47 What is the first derivative of -4*i**2*z - 51*i**2 + 50868*i*z**2 - 12*z + 4428535 wrt z? -4*i**2 + 101736*i*z - 12 Find the second derivative of -51086308*b**2 - 3*b + 20164706. -102172616 What is the second derivative of -501091952*z**2 - 89409438*z wrt z? -1002183904 What is the second derivative of 4729073*m**3 + 110381*m - 2 wrt m? 28374438*m What is the third derivative of 271*q**5 + 42298*q**3 + 53053313*q**2? 16260*q**2 + 253788 Differentiate 14103926*k*q**2 + 40544*q**2 + 20*q - 1 with respect to k. 14103926*q**2 Find the first derivative of -7*j**4*m**3 - 246993*j**4*m - m**3 - 468904 wrt j. -28*j**3*m**3 - 987972*j**3*m Find the third derivative of -215651212*q**3*z - 2*q**2*z + q**2 + q*z + q + 1320624*z + 2 wrt q. -1293907272*z Find the second derivative of -60952699*y**2 + 5*y - 8935362 wrt y. -121905398 What is the first derivative of -5*r**2*v**2 + 57941*r**2 - 9*r*v**2 + 136884337*v**2 wrt r? -10*r*v**2 + 115882*r - 9*v**2 What is the second derivative of -5747183*v**2 + 3757689*v? -11494366 What is the third derivative of 2*n**4*u - 3274563*n**4 - n**2*u + n**2 + 5*n*u - 2*n + u - 1610791 wrt n? 48*n*u - 78589512*n What is the derivative of -254306*c**2*t + 2*c*t**2 + c + 20371310*t**2 wrt c? -508612*c*t + 2*t**2 + 1 What is the third derivative of -61*s*v**3*y - 5*s*v**2*y**2 + 377*s*v + 2*s*y**2 - 11829*v**3*y**3 + 42*y**3 wrt v? -366*s*y - 70974*y**3 Find the first derivative of -125796229*n**2 + 110554517. -251592458*n What is the first derivative of -1515796*i**3*p**3 - i**3*q + 211*i**2*p**3*q - 2*i**2*p**3 - 775*i*q wrt q? -i**3 + 211*i**2*p**3 -
{ "pile_set_name": "DM Mathematics" }
*3/3 + 3*c**2/2 + 4*c + 6. Let b be q(3). Let m = 11 - 6. Solve b*h + m + 7 = 0 for h. -3 Let n = 9 - 8. Let v be 1/(-2) + (-22)/(-4). Let f = v - n. Solve -1 + 5 = -f*w for w. -1 Suppose 3*k - 3*d + 5*d = -11, 0 = -3*k - 5*d + 4. Let c = -2 + -10. Let s be c/k - 4/(-14). Solve -3*y - 4 = s for y. -2 Let n(r) = r**2 + 0*r**2 - 6 - 2*r - r. Let i be n(5). Suppose -i*c + 2*c = -6. Solve -c*l = -0*l + 9 for l. -3 Let g be ((-2)/8)/((-1)/4). Solve -g = -3*y - 13 for y. -4 Let t(x) = x**3 + 4*x**2 + 2*x - 1. Let g be t(-3). Suppose -w - 5 = -g*w. Suppose -5*u - 2*i = -w, -i + 0*i + 1 = u. Solve 0 = -3*a - u + 16 for a. 5 Let p be (6 - 1) + 1 + 0. Let o = p + -2. Let z = o - -1. Solve 1 = 2*y - z for y. 3 Suppose 3*j - 39 = 3*z, 2*j - 6*j = 2*z - 40. Let h(l) = -j*l - 7 + 7. Let a be h(-1). Solve -4*o + a + 5 = 0 for o. 4 Let z = 2 - 2. Let q = 4 - z. Solve 4*p + 0 = -q for p. -1 Let u = 3 - -4. Suppose 3 - u = -g. Solve 9*n - g*n = 0 for n. 0 Let g(h) = -h**3 + 3*h**2 + h + 2. Let l be g(3). Suppose -n + l - 1 = 0. Let a(q) = -q**3 + 4*q**2 + 4*q - 5. Let o be a(n). Solve 0 = 4*u - o - 1 for u. 3 Suppose 44*c - 212 = 8. Suppose 3*h - 3 = -0. Solve -c*b + h = -4 for b. 1 Let w be 0 + -2 + 0 + 3. Let u(i) = -i + 1. Let j be u(w). Suppose -3*l + 26 - 8 = j. Solve l = -7*f + 4*f for f. -2 Suppose 0 = 2*z - 0*z - 4. Suppose -10 = -3*l - 2*m, -2*l + 0 = -3*m + z. Solve l*t = t for t. 0 Let t = -90 - -62. Let n = t + 33. Solve -3 = -n*s + 12 for s. 3 Let d = 6 - 3. Suppose -n - d*n = 0. Solve 2*j + 3*j + 5 = n for j. -1 Suppose -124*v = -119*v - 15. Solve 0 = 2*k + 5 + v for k. -4 Suppose -13 = -5*g + 2. Solve z = -g*z - 8 for z. -2 Let p = 22 - 2. Suppose -8*i + p = -3*i. Solve -10 = i*n + n for n. -2 Let z(k) = k**3 + 5*k**2 + 2*k - 6. Let y be z(-4). Solve -b = -y*b for b. 0 Suppose 0 = -2*c + 2 + 8. Let q(d) = 3*d - 4. Let r be q(c). Solve 3 = -2*x + r for x. 4 Let z be 4/(-14) + 427/(-49). Let x = z - -12. Solve -x*c = c - 20 for c. 5 Suppose 2*p = c + 28, 2*p - 4*c + c = 24. Solve -3*m + 0*m = p for m. -5 Let p be 1 - 3/(3 + 0). Solve p = -4*g + g for g. 0 Suppose 0 = 2*x - 0 - 2. Let d be (-1 - 1/(-2))*-4. Let k = d + x. Solve 0 = -k*o - o for o. 0 Suppose -5*i + 2*m = -31, i = -4*m + 8*m + 17. Solve -5*w - 20 = -i for w. -3 Let v(z) = 2*z**3 + 3*z**2 + 2*z + 4. Let x be v(-4). Let r = x - -33. Let y be (-4)/10 + r/(-15). Solve 1 + 2 = -y*h for h. -1 Let s be (-1)/(3 + (-40)/12). Let q(i) = i - 4. Let a be q(0). Let z be 6/a*4/(-3). Solve 5*d = s + z for d. 1 Let o = 24 - 17. Solve -3*p + o = 1 for p. 2 Let v = 9 + -5. Let u be -1 + (v - (0 - -1)). Suppose -2 = p, -p - u = -5*n - 0. Solve 4 = 4*d - n*d for d. 1 Let t(a) = -2*a**2 + 13*a - 4. Let z be t(6). Let m be 3/(-3) + 0 + z. Let n be 5*1/10*6. Solve 2*w = n*w - m for w. 1 Suppose 5*s - 5 = 5. Let f be 6/s + 0/5. Solve f*i = -12 - 3 for i. -5 Let r(b) = -b**2 + 8*b + 5. Let h be r(8). Suppose -5*s + u = 2, -s - 3 = -h*u + 7. Suppose -2*j = 3*j - 15. Solve -j*q = -s*q for q. 0 Let f(z) = 2*z**2 - 7*z + 10. Let k be f(2). Solve 10 + 6 = k*y for y. 4 Suppose 5*q - 4*z + 10 = 0, 10 = z + z. Solve -q*c + 6 = -5*c for c. -2 Let d(g) = g**3 + 21*g**2 + g + 33. Let v be d(-21). Solve 0 = 3*n + n - v for n. 3 Let p(s) be the second derivative of s**5/20 + 5*s**4/12 - 4*s**3/3 - 9*s**2/2 - s. Let g be p(-6). Solve -g*x = -2*x for x. 0 Let j = -9 - -11. Suppose 0 = -2*c + o + 8, -3*c - j*o + 17 = -o. Solve 1 = c*x - 4 for x. 1 Let i(o) = 7*o**2 - 1. Let h be i(-1). Suppose -18 + 5 = -2*y + s, 2*s = -y - h. Solve -y*j = -j - 12 for j. 4 Let c(j) = -j**2 + 3*j + 1. Let q be c(3). Suppose -2*z + 5 = q. Suppose -3 = -m - z*m. Solve 4*r = -m - 3 for r. -1 Let g(a) = a**2 + 5*a + 2. Let f be g(-6). Suppose 0 = -2*q + 2*j + f + 8, -4*q + j + 20 = 0. Solve 3*x = q*x + 5 for x. -5 Let f(c) be the first derivative of -c**4/4 - 5*c**3/3 - 3*c**2 - 2*c - 3. Let t be f(-4). Let k be (t/(-4))/((-21)/28). Solve -1 = -k*x - 5 for x. -2 Let j = -4 + 3. Let o be 1 - (3 + j) - -1. Suppose 1 - 6 = -u. Solve -u*t + 3*t = o for t. 0 Suppose -3*k + 20 = k. Suppose -9 = -3*s - 2*f + 5*f, -k*f = -s + 7. Solve -s = 2*w - 12 for w. 5 Let b(j) = -j + 18. Let k be b(9). Suppose 10*g - k*g - 7 = 0. Solve -3*n - 2 = g for n. -3 Let l(w) = w + w**2 - 6*w**3 - 3*w**3 - 13*w**3. Let g be l(-1). Solve g = 5*q + 7 for q. 3 Let g(b) = -b**3 + 5*b**2 - 3*b - 2. Let u be g(4). Let v be 132/30 + (-2)/5. Solve u = -n + v for n. 2 Suppose -6*t = -0*t - 54. Solve -t = 5*n - 4 for n. -1 Let p be (0/2)/(0 + 0 + -1). Solve p = -y - y - 8 for y. -4 Let t = -2 - -6. Suppose -5*q + 3*q = 4, 2*w = -4*q - t. Let h be 30*(w/4 + 0). Solve -2*j = j - h for j. 5 Let g be 24/(-20)*(-5)/2. Let x be g/(1/((-6)/(-9))). Suppose -f - 10 = -3*a - 1, 0 = 5*a + x*f - 26. Solve 14 = -2*s + a for s. -5 Let z = -126 + 126. Solve z = 4*d - 6*d for d. 0 Suppose 0 = -4*y - 4*r - 4, -5*y + 35 = -3*r. Solve -2*p + y*p - 2 = 0 for p. 1 Suppose a + 0 = 1. Let n = 9 + -5. Suppose -2*b - 24 = -n*j, 5*j = j + b + 22. Solve j*m - 4 = a for m. 1 Let y = -81 + 87. Solve 2*m = -m - y for m. -2 Suppose 6 - 2 = r. Solve -2*q + 0 = -r for q. 2 Let d(g) = -g**2 + g + 3. Let t be d(0). Let f be t - 6/(-3) - 3. Let c = 4 - f. Solve -3*a = c*a for a. 0 Suppose -4*q = -2 + 6. Let t = q - -1. Solve t*m = m for m. 0 Let w = 21 - 20. Solve -3*g - 10 = -w for g. -3 Suppose -k - 4*k + 25 = 3*u, -5*u + 33 = 4*k. Solve j + k = -j for j. -1 Suppose 3*l - 21 = -0*v + 2*v, -39 = 4*v - 5*l. Let m be v/5*(-90)/12. Solve 2*h + 3 - m = 0 for h. 3 Suppose -13 = w - 5*j, -3*j + 3 = -6. Suppose 0 = -w*r - 0*r - 3*h + 9, -h = 2*r - 3. Let d = 16 - 11. Solve r = -0*o - o + d for o. 5 Suppose 51 = 3*h - 3*d, -5*h = -3*h + 4*d - 22. Solve h = -2*f + 5*f for f. 5 Suppose 0 = 2*h - 4. Let l be 16/(-12)*(-3)/h. Solve -l*y - 5 = 3*y for y. -1 Let i(b) = b**2 + 6*b + 3. Let o be i(-3). Let a be (9/o)/((-6)/32). Solve 0*u + a = 2*u for u. 4 Let v = 168 - 166. Solve a + 3 = -v*a for a. -1 Let i(w) = -w**2 - 9*w - 6. Suppose 0 = t + 3 + 5. Let f be i(t). Let j be (1/f)/((-1)/(-12)). Solve -n + j = n for n. 3 Suppose 3*u - 4*u - 14 = 0. Let c = u - -24. Solve c = -5*m - 15 for m. -5 Suppose 2*f = -0*f. Suppose 0 = -3*z - f*z + 45. Solve z = k - 4*k for k. -5 Suppose 4*d = -3*g - 0*d - 20, -4*d - 12 = g. Let i = g + 4. Suppose -4*c - 4*f - 4 = i, -f = -3*c - 0*f + 17. Solve -c*n = -n - 12 for n. 4 Let l = 43 - 40. Solve 4*w - 5*w = -l for w. 3 Let w(t) = -t**3 - 4*t**2 - t + 8. Let a be w(-4). Solve -k + 4*k = -a for k. -4 Suppose n + v + 5 = -2*v, 5*n + 4*v - 8 = 0. Suppose -4 = n*u, k + k - 3*u - 11 = 0. Solve k*r = -7 - 9 for r. -4 Suppose 2*v + 6*v = 32. Solve -v*c = -2 + 22 for c. -5 Let i(t) = -1 + 1 + 1 + t + t. Let a be i(4). Solve 2*g + 3 = a for g. 3 Let d(k) = k**2 - 3*k - 2. Let c be -8*(2 - 10/4). Let j be d(c). Solve 4 + 6 = -j*a for a. -5 Suppose 0 = -u - 0*u. Solve -v - 2*v = u for v. 0 Suppose -3*r - 3*p + 18 = 0, -4*r + 7 + 17 = 2*p. Suppose r = 3*u - 3. Suppose z + 19 = 5*q + u*z, -5*z = q + 10. Solve q*h + 7 = 27 for h. 4 Let v = 50 - 47. Solve 3*m = 4*m - v for m. 3 Let a be (-2 - 2) + 1 + 6. Suppose 3*z + 2*v - 50 = 0, -a*v = -3*z - 2*v + 65. Solve -z = -7*q + 3*q for q. 5 Let s(h) = h**2 - 15. Let k be s(-5). Solve -t = -3*t - k for t. -5 Let h(q) = -q + 1 + 2*q**3 - 3*q**3 - 4*q**2 - 3*q - q. Let f be h(-3). Solve -f + 2 = -5*p for p. 1 Let c(l) be the third derivative of -l**5/60 - l**4/3 + 7*l**3/3 - 4*l**2. Let a be c(-11). Let z = a + 35. Solve x - 5*x = -z for x. 4 Let t(g) = -g - 4. Let j be t(4). Let v = j - -11. Solve -7 = -v*z + 8 for z. 5 Let u = -80 - -82. Solve 0 + u = -2*n for n. -1 Let s(n) = n + 2. Let o be s(-9). Let w = 10 + o. Solve 5*p = -12 - w for p. -3 Let c be 2 - (-1*0/(-4))/2. Solve 0*a + c*a = 0 for a. 0 Let q be (-8)/(-52) - 11/(-13). Solve -5*g - q = -16 for g. 3 Suppose -j = a - 0 - 1, -2*a + j - 7 = 0. Suppose -4*r + 0*r - 20 = 0. Let y be r/1*a/5. Solve 1 - 7 = -y*m for m. 3 Let c be 9/((-27)/12) + 4. Let g(v) = v**2 - 3*v + 5. Let z(s) = 4*s. Let q be z(1). Let m be g(q). Solve -m = -c*y + 3*y for y. -3 Suppose 2*z = -z + 9. Suppose 4*p = -12, -z*m = 2*p + 2 - 17. Solve -20 = 3*q - m*q for q. 5 Suppose -5*h + 42 = -3*h. Solve 6 - h = 3*c for c. -5 Let s(f) = -f
{ "pile_set_name": "DM Mathematics" }
/3 (b) 73 (c) 0 a What is the smallest value in -2, 448, -2/7? -2 What is the second smallest value in -1.01, 2/19, 0? 0 Which is the smallest value? (a) 3.2 (b) 0.5 (c) 0.4 (d) -0.2 d Which is the smallest value? (a) -3 (b) -4 (c) 1/8 b What is the biggest value in 5, -153, 12, 0.5? 12 Which is the smallest value? (a) 0.5 (b) 0.8 (c) -5/3 c What is the third smallest value in -2/3, 0.419, 2/11? 0.419 Which is the third biggest value? (a) -5 (b) 0 (c) -521 c What is the second smallest value in 0.03, 0.02, -3? 0.02 What is the second smallest value in -4, -0.09, -1, 3? -1 Which is the third smallest value? (a) -2/9 (b) 21 (c) -3 (d) -4 a Which is the second biggest value? (a) -1 (b) 3 (c) 1/3 (d) 1 d Which is the second biggest value? (a) 6 (b) -0.4 (c) -2 (d) -5 (e) -0.08 e Which is the biggest value? (a) -37 (b) -4/7 (c) 1/3 c Which is the third smallest value? (a) 1/5 (b) -0.012 (c) 4 c Which is the fourth smallest value? (a) -2/23 (b) 0.5 (c) 1 (d) 1/14 c What is the biggest value in -0.5, 2/19, 1.2, -0.2? 1.2 What is the smallest value in 4, -0.5, -7, 0.1? -7 What is the second biggest value in -5, 0.03, -9, -3? -3 Which is the biggest value? (a) 1 (b) 0.3 (c) -0.2 (d) -52 a Which is the fourth smallest value? (a) 141 (b) 3/4 (c) 3/8 (d) -2 a Which is the third biggest value? (a) 0 (b) -5 (c) 2/7 (d) 2/15 (e) -1/2 a Which is the smallest value? (a) -3 (b) -0.07 (c) 1.4 a Which is the biggest value? (a) -685 (b) -2/9 (c) -2/21 c Which is the second smallest value? (a) -11/10 (b) -1 (c) -0.2 (d) 3 b Which is the second smallest value? (a) 108 (b) -36 (c) 1 c Which is the biggest value? (a) 4 (b) 4/15 (c) 0.07 (d) 2 a Which is the second smallest value? (a) 0.05 (b) -10 (c) 16 a What is the second smallest value in -3, 7, -2? -2 Which is the third biggest value? (a) -4 (b) -5/6 (c) -0.03595 a Which is the biggest value? (a) -4.62 (b) 4 (c) -4/3 b What is the third biggest value in -5, 2/5, 1/11, 3/16? 1/11 What is the third smallest value in -4, -0.42, -2/15, 0.1, -1? -0.42 Which is the smallest value? (a) -2/9 (b) 38 (c) -2/3 c What is the third smallest value in 2/3, -1/5, -0.3, -9/5? -1/5 What is the third smallest value in -0.3, 0.3, 2.9? 2.9 Which is the third biggest value? (a) -2/11 (b) -9 (c) 2/21 (d) 1 a What is the second smallest value in 0.4, 1541, 2/3, 2? 2/3 Which is the second biggest value? (a) -1/1601 (b) -0.1 (c) -5 b Which is the fourth smallest value? (a) 21 (b) 1 (c) -6 (d) 4 a Which is the third biggest value? (a) 4 (b) 1/3 (c) 0.31 c What is the second biggest value in -4, -5, 0.03, -3? -3 Which is the third biggest value? (a) 0.3 (b) 0.159 (c) -2/19 (d) 6 (e) -5 b What is the second smallest value in -1/2, -0.077, -2? -1/2 Which is the biggest value? (a) -3 (b) 0 (c) -0.4 (d) 352 d Which is the biggest value? (a) 4/3 (b) 2/3 (c) -5 (d) -0.5 (e) 557 e What is the second biggest value in 1/5, -389, 1, -1/4? 1/5 Which is the third smallest value? (a) -5 (b) 0.34 (c) 0.5 (d) 0.1 b What is the smallest value in -0.1, -1, 3/11, 1? -1 Which is the biggest value? (a) 3 (b) 0 (c) 0.3 (d) -5 (e) 0.1 a What is the third biggest value in -1/8, 2.3, 0.06? -1/8 Which is the smallest value? (a) 2 (b) 4 (c) -1.4 (d) -2/13 c Which is the third biggest value? (a) -4 (b) 4 (c) -16 c What is the biggest value in -4, -6/8473, -2/13? -6/8473 What is the second biggest value in 7/5, 2, -0.4? 7/5 Which is the smallest value? (a) 0.3 (b) 2 (c) -0.5 (d) 13 c What is the smallest value in 5, -0.4, 2, -1, 6/17? -1 What is the third biggest value in 5, -0.5, 0.1, 4, -3/4? 0.1 What is the smallest value in -2, 7, 16? -2 What is the smallest value in 0.1, 0.24, 0? 0 What is the second smallest value in -2/11, -0.04, 0.02? -0.04 Which is the smallest value? (a) -56 (b) -14/15 (c) -0.1 a Which is the biggest value? (a) -0.4 (b) -0.5 (c) 35 c Which is the second biggest value? (a) -4 (b) 2 (c) -1 (d) 11 b What is the third smallest value in -4, 3, 1/6, -1? 1/6 What is the smallest value in 0, 1/2, -26, -5, -0.07? -26 What is the biggest value in -4, 0.4, 208? 208 Which is the biggest value? (a) -1 (b) -1/5 (c) 4/9 (d) 0.1 c What is the second biggest value in -0.05, -12, -0.063? -0.063 What is the biggest value in -0.4, 3, 0, 0.09? 3 Which is the biggest value? (a) -14 (b) -0.04 (c) -4 b What is the fourth smallest value in -3, -5, -53, -4, -27? -4 Which is the fourth biggest value? (a) 1 (b) -4 (c) -0.3 (d) -2.9 (e) 3 d Which is the third biggest value? (a) -0.06 (b) 23.5 (c) -1/5 (d) -3 c What is the smallest value in 3, -2, -4, 4, -19? -19 Which is the biggest value? (a) -0.3 (b) -9 (c) -4 (d) -1 (e) 0.1 e Which is the third smallest value? (a) 4/5 (b) -11 (c) 1/5 a What is the second smallest value in -13/11, 3, 4, 0? 0 What is the smallest value in 3, 0.3, 15? 0.3 What is the second biggest value in 4, -0.4, -519? -0.4 Which is the third biggest value? (a) -0.5 (b) -9 (c) -0.3 b What is the second smallest value in 3, 5, -2/15, 0.4? 0.4 What is the second biggest value in -1, -4, -0.07, -0.7? -0.7 Which is the fourth biggest value? (a) 5 (b) -0.2 (c) -1.23 (d) 1/2 (e) -4 c Which is the fourth smallest value? (a) -0.05 (b) -2 (c) -1 (d) -0.1 a Which is the third biggest value? (a) -2/11 (b) -5 (c) 5 b Which is the third smallest value? (a) 45 (b) -4 (c) -9 (d) -1 d Which is the biggest value? (a) 1 (b) 1/2 (c) -147 (d) 2/7 a What is the biggest value in 5, 31, -4, 0.04? 31 Which is the third biggest value? (a) -0.1 (b) 1 (c) 6 (d) 3 (e) -1/4 b Which is the second smallest value? (a) -0.4 (b) 1/6 (c) -14 a Which is the third smallest value? (a) 4/5 (b) -4 (c) 6 (d) -6.2 a Which is the smallest value? (a) 0.3 (b) 2/3 (c) -64/11 (d) 3 (e) 2 c Which is the fourth smallest value? (a) -1.93 (b) -0.5 (c) -1 (d) -4/3 (e) 0.3 b What is the third smallest value in -2/13, 1, -3/5, 0.3? 0.3 What is the second smallest value in -0.5, 3, -0.08, -4/19? -4/19 What is the fourth biggest value in 63, -1/4, -37, -2/5? -37 Which is the second biggest value? (a) 0.4 (b) 2 (c) 1 (d) 7/4 d Which is the second smallest value? (a) -1/2 (b) -5 (c) -0.3 (d) 429 a Which is the smallest value? (a) 4 (b) -1/6 (c) -21 c Which is the third biggest value? (a) -98 (b) -1/2 (c) 10 (d) 1 b Which is the second smallest value? (a) 0.4 (b) -0.19 (c) 0.5 a What is the biggest value in -1, -39, -6? -1 Which is the third biggest value? (a) 448 (b) 4/7 (c) -5 c Which is the smallest value? (a) 0.1 (b) 5 (c) -0.3 (d) -0.2 (e) 0.9 c What is the second smallest value in 0.1, -487, 3? 0.1 Which is the fourth smallest value? (a) -0.1 (b) -2/7 (c) 0.382 (d) 0.1 c Which is the third biggest value? (a) -7 (b) 0.11 (c) -10.9 c Which is the biggest value? (a) 5/3 (b) 3/44 (c) -1/4 (d) -5 a What is the third smallest value in -1/6, -68, -4/3, -0.4? -0.4 What is the fifth smallest value in 2/33, -5, 0.4, -0.8, 0? 0.4 Which is the second biggest value? (a) -1/3 (b) -4/7 (c) 2/7 (d) -8 a Which is the smallest value? (a) -3/8 (b) 30 (c) -4 c Which is the second biggest value? (a) -0.12 (b) 5 (c) 5/6 (d) -1 (e) 2 e Which is the fourth smallest value? (a) 0.3 (b) 1.2 (c) 0.02 (d) 2/5 b Which is the fourth smallest value? (a) -1 (b) -3/2 (c) 1/4 (d) -2/3 c What is the smallest value in 3, 7/5, 1/15, -0.5? -0.5 What is the second smallest value in -9, 0.2, 1/3, -1? -1 What is the fourth smallest value in -1/2, 3, -7, 14? 14 Which is the second smallest value? (a) -1 (b) -0.813 (c) 0.02 b Which is the second smallest value? (a) -0.1 (b) -3/4 (c) 0.5 (d) 8 a Which is the third smallest value? (a) 2 (b) -0.4 (c) 508 c Which is the second smallest value? (a) 0.46 (b) 2/3 (c) 30 b Which is the third smallest value? (a) 0 (b) -2/5 (c) 0.4 (d) 16/9 c Which is the third smallest value? (a) 1/2 (b) -0.9 (c) 2/21 a What is the third biggest value in -3/8, 29, 3/8? -3/8 Which is the second biggest value? (a) 0.3 (b) -3 (c) 4/49 c Which is the smallest value? (a) -3/2 (b) -14 (c) -1 (d) -10 (e) -0.4 b Which is the second smalles
{ "pile_set_name": "DM Mathematics" }
r**2 - r + 12. Suppose d - 16 + 5 = 0. Let q be h(d). Solve q = -2*w + w for w. -1 Suppose -5*r + 2 = 12, 0 = j + 3*r + 6. Suppose j = -s + 6 - 41. Let n = -30 - s. Solve -n + 0 = 5*c for c. -1 Suppose 5*q + 8 = -3*q. Let j be (q - -3) + 0/3. Solve 0 = 3*o + j*o - 15 for o. 3 Let g = -59 + 17. Let l = 44 + g. Solve 5 = 3*f + l for f. 1 Suppose -32*t = -18*t - 42. Solve 10*i = t*i - 7 for i. -1 Let b = -7 - -8. Let p = b - 1. Let j = 4 - p. Solve 0*y + 20 = j*y for y. 5 Let n be (-5)/(10/15 - 1). Let p be (18/n)/(6/20). Solve b = p + 1 for b. 5 Let a be (4/(-16))/((-2)/40). Suppose -3*i - 6 = -a*i. Let q(j) = 2*j**2 - 6*j. Let h be q(4). Solve -i*u = 7 + h for u. -5 Let j be (-9)/(-36) + 30/8. Suppose -c = 3*z - 1, 4 = -3*z + z + j*c. Solve -p - 2*p - 12 = z for p. -4 Let l(y) = -15*y**3 + 2*y + 2. Let j be l(-1). Solve 4 - 64 = -j*t for t. 4 Let m be 1 - (-2 - 3 - 175). Let v = m - 164. Solve -4*n - 5 = -v for n. 3 Let g(n) = -2*n + 26. Let s be g(11). Suppose -4*b + 3*q = -22, s*b + q - 2 = 12. Solve -2*k + b = -k for k. 4 Suppose -2*c = -d - 3*d - 22, -5*c + 31 = -4*d. Let o = -137 + 140. Solve 0 = -o*y + 6 - c for y. 1 Let k(f) = 5*f**3 + 1. Let i be k(1). Let r(u) = -u**3 + 5*u**2 + 8*u - 8. Let v be r(i). Suppose -m = 5*q - 35, 3*q + v*m - 38 = -0*m. Solve w - q = -w for w. 3 Let n = -758 + 877. Solve n*a = 114*a + 10 for a. 2 Let n be (-3 + 1)/1*-4. Suppose 2*s = -0*s + n. Let q = -175 + 178. Solve -7*a + s = -q*a for a. 1 Let j be (4 + -2)/2*17. Let w be 520/(-910)*7/(1/(-1)). Solve j = w*d + 5 for d. 3 Let u = 413 + -405. Solve 3*g + 1 + u = 0 for g. -3 Suppose -24*h + 40*h - 80 = 0. Solve -h*f + 12*f = -21 for f. -3 Let h be 13/(26/(-20)) - -13. Solve x - 4 = -h*x for x. 1 Suppose 16 = -6*m + 40. Solve -m = -p - 2 for p. 2 Suppose -4*s = -2*w - 12, -s + 1 = 4*w - 2. Suppose 0*k = k - 4. Solve w = -0*p + k*p for p. 0 Let i(u) = 2*u**2 + 11*u - 15. Let h be i(-7). Solve 3*r + 0*r - h = 0 for r. 2 Suppose 11*x - 4 = 9*x. Let l = 36 + -20. Let j = l - -2. Solve 5*z - j - x = 0 for z. 4 Let b = 18 + 2. Suppose -12 = 4*f - b. Solve 0*a + 8 = f*a for a. 4 Suppose -14*h + 23*h - 27 = 0. Solve -42 + 27 = h*g for g. -5 Let o(b) = -b**3 + 11*b**2 - 9*b + 6. Let n be o(10). Solve 9 + n = 5*v for v. 5 Let x be (-1)/(-4) + (3/(-12))/1. Suppose x = -3*f + 4*f - 3. Let q be (-29 - 1)*2/(-4). Solve -f*s + 0*s - q = 0 for s. -5 Suppose 0 = 5*d - 2*x - 15, -3*d = -12*x + 8*x + 5. Solve -d*b + 14 - 4 = 0 for b. 2 Let q(u) = 5*u**2 + u + 1. Let c be q(-1). Suppose -3*l - 5*p = 16, 2*l - c*l + 29 = -4*p. Solve 4*y - l = -7 for y. -1 Let m be (0 + -5)*(-4)/10. Let c = 102 - 90. Let s = c + -9. Solve -m = -s*a + 4*a for a. -2 Suppose 8*n + 600 = 20*n. Solve 53*m = n*m - 15 for m. -5 Suppose 0 = u - 0*v + 5*v - 19, -3*u + v = 7. Let s be (u/(-3))/(11/(-33)) - -5. Solve 1 = t + s for t. -3 Let v = -34 - -40. Let r be (4/6)/(6/(-9)). Let n be 8/(3 + r + 0). Solve -n - v = 2*b for b. -5 Let j(h) = h**3 - 5*h**2 + 2*h + 8. Let g be (8/(-7))/(2/(-7)). Let i be j(g). Solve i*r - 2*r - 6 = 0 for r. -3 Suppose -4*y + 19 = -4*q - 61, 0 = -y + 5. Let o(i) = -3*i - 35. Let g be o(q). Solve 5*s + 5 = g for s. 1 Let u(b) = b**3 - 5*b - b**2 + 46 - 48 + 4*b. Let v be u(0). Let a = v - -5. Solve a*s + 2*s = -5 for s. -1 Suppose z + 4 = 23. Suppose -18*s - 3 = -z*s. Let k = 1 - -1. Solve s = -b + k for b. -1 Suppose -3*z + 0*z + 10 = -5*p, 0 = -5*z. Suppose -i + 5*t = -25, -2*i - 10 = 3*t + 5. Let k be (10/1)/(i - p). Solve 4 = k*l - 3*l for l. 2 Suppose -6*z = -5*z - 16. Solve -19*h + 15*h - z = 0 for h. -4 Suppose 0 = -2*l + 73 + 33. Solve 0 = 16*s - 27 - l for s. 5 Suppose 0*c - 5*r - 11 = -2*c, 0 = 4*r - 4. Solve 8*m - c = 4*m for m. 2 Let q be 12*(9/(-4))/(-3). Let n(a) = -998*a - 4986. Let y be n(-5). Solve -q*w = -y*w + 15 for w. -3 Let d(k) = 2*k + 148. Let l be d(-18). Solve -107*j = -l*j for j. 0 Suppose 5*a + l - 13 = 3*a, -l = 4*a - 21. Suppose 71*b = -5*u + 76*b + 30, -b = -2*u + 8. Solve a - u = -w for w. -2 Let y(q) = q**2 + 6*q - 3. Let r be y(-9). Suppose r = 2*n + 16. Suppose 2*f = 3*f - n. Solve -2*j + f = -2 for j. 3 Let d be ((-2)/(-3))/(4/6). Suppose 12 = 3*g, 2*m + 4*g = -0*m + 18. Solve -d - m = 2*a for a. -1 Suppose 12*p + 3*p - 15 = 0. Solve 2*h - p = 5 for h. 3 Let p = 15 + -45. Suppose 3*w - 20 = -2*w, -a + 5*w = 26. Let b be (8/5)/(a/p). Solve b = -5*r + r for r. -2 Let d be 45/18 + (-1)/(-2). Suppose h + 2 = d*h. Let k be 12/(-4)*(-5)/3. Solve 3*n - h = k for n. 2 Let d be 0 + 2 + (-4 - -6). Suppose -d*n = 5*s - n - 10, 0 = -2*s + 3*n + 4. Solve -l + s*l = 0 for l. 0 Let p be (-8)/(-12) - 10/(-3). Suppose -p*h + h = 0. Solve -c + 5*c - 20 = h for c. 5 Let f be 45/(-10)*4/6. Let x(g) = -3*g - 5. Let l be x(f). Suppose -l*v - 5 = -29. Solve -4*y = -v*y - 8 for y. -4 Let o be (-20)/25*((-25)/(-2))/5. Let t be o*(-3)/9*3. Solve -16 = t*j + 2*j for j. -4 Let d(y) = -y**2 - 11*y - 13. Let t be d(-7). Let b = -25 + 34. Let r(w) = -w**3 + 8*w**2 + 11*w - 13. Let c be r(b). Solve 4*m - c = t for m. 5 Suppose 0 = w - 2 + 8. Let z(k) = 3*k - 14 - k - 5*k - k. Let d be z(w). Solve -2*n = -0*n - d for n. 5 Let r = -16 - -27. Let p = r - 18. Let d be p/(-4) + (-1)/(-4). Solve -d*v + 11 = 5 for v. 3 Let m(g) = -g**2 + 4*g + 4. Let p be m(5). Let q be ((-5)/(-2))/(p/4). Let r be 5/q + (-50)/(-4). Solve -a + 5*a = r for a. 3 Let w(z) = -12*z + 244. Let k be w(20). Solve 5*s = k*s + 1 for s. 1 Suppose 5*f = 2*f + 15. Let u(o) = o**3 + 7. Suppose 4*k = 8*k. Let y be u(k). Solve 4*j + y = -f for j. -3 Suppose 2*g + 14 - 20 = 0. Solve g*z + 23 - 14 = 0 for z. -3 Let z(p) = 12*p + 14. Let g be z(0). Solve -5*x - g = 11 for x. -5 Let c be (-5)/(2 + (-147)/75). Let t be 4/(-5)*c/50. Solve -t*q - q = 3 for q. -1 Suppose 77 - 77 = -23*d. Solve d = -7*z + 50 - 15 for z. 5 Let q be (8 - 3)*15/(-25). Let b be q*5/45*-9. Solve -7*a + 20 = -b*a for a. 5 Let s be 1/((-3)/((-1212)/4)). Let j = s - 93. Solve 0 = -2*i + 6*i + j for i. -2 Let f be ((198/24)/11)/(1/8). Solve f - 11 = -b for b. 5 Let n be ((-1)/(-5) + 1)/((-1)/(-10)). Suppose 0 = 2*c - 8*c + n. Solve -2*q = -c + 10 for q. -4 Let s be (2/8)/((-11)/(-176)). Solve s = -i + 2 for i. -2 Let l = -1 + 6. Suppose 2*k + 4 + 1 = 5*r, -5*k = l*r - 40. Solve 0 = 3*g + 15 - r for g. -4 Suppose -2*s = 3*y + 2, 0*s - 2*s - 2 = -y. Solve 2 = -y*m + m for m. 2 Let c(t) = 12*t + 1. Let p be c(4). Suppose 11 = 3*x - g, -5*g = 4*x + 9 - p. Suppose 4*f + 41 - 89 = 0. Solve -f - 13 = -x*s for s. 5 Suppose -7 = -4*z - 3. Let u be 0/(1 + 1 - 0). Suppose -24 = -317*t + 309*t. Solve -t*y - 7 + z = u for y. -2 Let h(a) = 28*a**2 - 3*a - 1. Let d be h(-1). Suppose l + 2 = 2*l - 2*f, -2*f = 3*l - d. Solve 0 = -v - 3*v - l for v. -2 Let q be (-5 - 110/(-15))*(2 + 1). Suppose 64*r - 65*r + q = 0. Solve r*a = 2*a + 5 for a. 1 Let j = 22 - 40. Let q = j - -15. Let l be (0 - q)*(-26)/(-39). Solve -4*o = -l*o for o. 0 Let k = -2 + -12. Let n = k - -20. Suppose -2*x + 0*x = -n. Solve -x*o + 10 = -o for o. 5 Let g = -10 - -12. Let n be (-22)/(-1)*g/(-4). Let l = n - -11. Solve -2*x + 2 + 2 = l for x. 2 Suppose 23*c = 26*c. Suppose h + c*h = 12. Suppose 4*d = 4 + h. Solve 0 = d*n - 0*n for n. 0 Suppose -43*i = -38*i - 10. Solve 7*y - i*y = 25 for y. 5 Let r(p) = -p**3 - 3*p**2 + 4*p - 30. Let o be r(-5). Solve o = 2*v - 8 for v. 4 Let f be 4/6 + 16/3. Suppose -2*v = f - 10. Solve v*l = -12 + 2 for l. -5 Let t = 87 - 52. Suppose 0 = -2*j - 4*u + 16, -5*j + t = 3*u + 9. Solve 3 = -j*p + p for p. -1 Let r be (-2 - (-154)/99) + 85/9. Solve r + 16 = 5*d for d. 5 Let r(n) = -7*n - 3. Let q be r(-4). Suppose 10*l - 15*l + q = 0. Solve -l = 3*u - 17 for u. 4 Let u be -2 + ((-16)/(-2))/2. Suppose -4*j + u = -2*a, -3*j - 3 = a - 4*a. Let f be (-8)/10*(-10)/4. Solve f*r - a = -r for r. 1 Let k = -11 + 29. Solve 3*v + 3*v = -k for v. -3 Let j(p) = -p**2 + 6*p - 2. Let g be j(4). Let i = -941 - -946. Solve i = r - g*r for r. -1 Suppose -4*d - 264 = -8*d. Let h = d + -60. Solve h*q - 6 = 3*q for q. 2 Suppose -5*b + f - 6*f = -40, 0 = -3*b + 3*f + 36. Solve 15 + 5 = b*x for x. 2 Suppose 119*o = 118*o + 15. Solve -o = -0*d + 5*d for d. -3 Suppose 0 = 43*u - 37*u - 90. Suppose 6 = 2*z + z. Solve -s + u = z*s for s. 5 Let a = -20 - -22. Let d = a - -1. Suppose s + 2
{ "pile_set_name": "DM Mathematics" }