Datasets:
timaeus
/
pile-dm_mathematics

Dataset card Data Studio Files
xet
Community
text
stringlengths
270
8.19k
meta
dict
v**2 + 6/23*v**r - 2/23*v**5 + 72/23 - 48/23*v = 0. Calculate v. -2, 1, 3 Solve -84 - 231/5*d**3 + 417/5*d**2 + 3/5*d**5 + 3/5*d**4 + 228/5*d = 0. -10, -1, 1, 2, 7 Let x be -4 + (-3066)/(-36)*(-32)/35. Let m = x + 82. Factor 4/15 + 0*h**2 - 2/5*h + m*h**3. 2*(h - 1)**2*(h + 2)/15 Factor 273*n - 20*n - 83*n**2 - 13*n**2 + 24*n**2 - 672 + 4*n**3 + 151*n. 4*(n - 8)*(n - 7)*(n - 3) Let 5465*q**5 - 42*q**2 + 52*q**4 - 25*q**4 - 5471*q**5 + 15 + 24*q**3 - 18*q = 0. What is q? -1, 1/2, 1, 5 Suppose 0 = -36*h + 62*h - 52. Find f such that h*f**4 + 2058 - 82*f - 206*f + 3*f**3 - 1280*f - 51*f**3 + 420*f**2 = 0. 3, 7 Suppose 3*c - 1 - 2 = 3*t, 11 = -3*t + 5*c. Let s = 1553 - 1551. Factor -24*a**3 + 4 - 36*a**t - 4*a - 36*a**4 - 4 - 28*a**s. -4*a*(a + 1)*(3*a + 1)**2 Let h(c) be the second derivative of -c**7/28 + 3*c**6/10 + 51*c**5/40 - 3*c**4/4 - 4*c**3 - 28*c - 18. Suppose h(l) = 0. What is l? -2, -1, 0, 1, 8 Let q(l) be the third derivative of 1/1365*l**7 + 1/78*l**4 + 0 - 1/130*l**5 + 0*l**3 + 0*l + 77*l**2 + 0*l**6. Factor q(s). 2*s*(s - 1)**2*(s + 2)/13 Let z(b) be the first derivative of -4/7*b**4 + 0*b**5 - 8/7*b + 6/7*b**2 - 82 + 2/21*b**6 + 8/21*b**3. Solve z(r) = 0. -2, -1, 1 Let z(n) be the first derivative of 13*n**5/35 - 11*n**4/21 - 8*n**3/3 - 8*n**2/7 + n + 75. Let x(q) be the first derivative of z(q). Factor x(f). 4*(f - 2)*(f + 1)*(13*f + 2)/7 Solve -2880/17 - 2/17*d**3 + 192/17*d + 28/17*d**2 = 0 for d. -10, 12 Factor 0*s**4 - 276*s**2 + 3*s**4 - 24159*s**3 + 24144*s**3 + 288*s. 3*s*(s - 12)*(s - 1)*(s + 8) Let g(v) = -9*v**3 - 271*v**2 - 600*v + 519. Let c(i) = 92*i**3 + 2711*i**2 + 5999*i - 5189. Let f(d) = -12*c(d) - 124*g(d). Let f(z) = 0. What is z? -87, -3, 2/3 Let z(a) be the third derivative of -a**7/56 - 31*a**6/960 + 3*a**5/80 - 10*a**4/3 - 136*a**2. Let c(s) be the second derivative of z(s). Factor c(o). -3*(3*o + 2)*(20*o - 3)/4 Let z = -52336 + 52338. Find h, given that 8/3*h - 1/3*h**z + 0 = 0. 0, 8 Factor 33/5*h + 14 - 1/5*h**2. -(h - 35)*(h + 2)/5 Let f(k) be the second derivative of k**6/135 - 434*k**5/45 + 31966*k**4/9 - 1492960*k**3/27 + 2958400*k**2/9 - 3*k + 893. Suppose f(h) = 0. What is h? 4, 430 Let m be (30/5)/((-6)/(-4)). Factor n**3 + n**5 + 2583 - 2583 + 4*n**m - 6*n**2. n**2*(n - 1)*(n + 2)*(n + 3) Let u(g) = 124*g**3 + 3172*g**2 + 84736*g - 87808. Let h(s) = 35*s**3 + 906*s**2 + 24210*s - 25088. Let r(d) = 32*h(d) - 9*u(d). Let r(v) = 0. What is v? -56, 1 Factor -21/2*f - 45/2 - 3/2*f**3 + 21/2*f**2. -3*(f - 5)*(f - 3)*(f + 1)/2 Let s = 6/115 + -593/345. Let r = -1 - s. Factor 2*t**3 + 2/3*t - 2*t**2 - r*t**4 + 0. -2*t*(t - 1)**3/3 Suppose 0 = -11*f - w + 36, 5*f - 37*w + 33*w = 3. Factor 16/7*q**4 - 4/7*q**5 - 24/7*q**f - 4/7*q + 0 + 16/7*q**2. -4*q*(q - 1)**4/7 Let r be (0 - (-9)/6)*2522/(-13). Let j = r + 291. Let 0*u - 2/15*u**3 + j*u**2 + 0 = 0. Calculate u. 0 Let f(a) be the third derivative of -27*a**8/56 - 24*a**7/7 - 67*a**6/60 + 172*a**5/15 + 37*a**4/3 + 16*a**3/3 + 77*a**2 + 5. Determine v so that f(v) = 0. -4, -1, -2/9, 1 Let x = 45085/39431 - 3/5633. Let -x - 12/7*v**2 - 18/7*v - 2/7*v**3 = 0. What is v? -4, -1 Let w(m) be the second derivative of -5/14*m**5 + 1/2*m**3 - 1/98*m**7 + 31*m - 1/3*m**4 - 11/105*m**6 - 3 + 9/7*m**2. Solve w(o) = 0 for o. -3, -1, 2/3 Suppose 3*i - 4*q = -3 - 67, -14 = i + q. Let n = i + 22. Let 6*r**2 + n*r**2 - 3*r**3 - r**2 + 3 - 9*r = 0. What is r? 1 Suppose 64 = -3*r + 16, 91 - 11 = -4*j - 5*r. Factor -6/7 + j*z + 6/7*z**2. 6*(z - 1)*(z + 1)/7 Let a(i) be the first derivative of 3*i**5 + i**6 - 5*i**3 + 9/2*i**2 + 0*i + 167 - 15/4*i**4. Let a(n) = 0. What is n? -3, -1, 0, 1/2, 1 Suppose -a + 8*a = 14. Let s be (264/42 + -2)/(a/14). Factor -29*l - 24*l**2 + 26 + l - s. -4*(l + 1)*(6*l + 1) Let m be 17 + (5 - (99 - 81)). Find l, given that 96/11*l - 2/11*l**m - 24/11*l**3 + 288/11 - 64/11*l**2 = 0. -6, -2, 2 Suppose -3*g = -3*y + g + 26, -y + 8 = -2*g. Let u(o) = 2*o**3 + 35*o**2 - 109*o - 174. Let c be u(-20). Factor -13*m**3 - 12*m + y*m**3 + c*m**3 + 3*m**2 - 12. 3*(m - 2)*(m + 1)*(m + 2) Suppose -2*q = 13*f - 234, -2*q = -f + 64 - 74. Find k such that -44/3*k**2 - f - 92/3*k = 0. -12/11, -1 Let z(h) be the second derivative of -9/14*h**2 + 1/14*h**3 - 3/140*h**5 + 98*h + 2 + 3/28*h**4. Factor z(c). -3*(c - 3)*(c - 1)*(c + 1)/7 Let k(f) = 342*f + 688. Let h be k(-2). Let o(v) be the first derivative of 1/30*v**6 + 2/15*v**3 - 1/25*v**5 - 9 - 1/10*v**h - 1/5*v + 1/10*v**2. Factor o(j). (j - 1)**3*(j + 1)**2/5 Let a = -517 + 515. Let k be 0/((a - 0)*1). Determine j so that -5/2*j + j**2 - 1/10*j**3 + k = 0. 0, 5 Let o = -10373/19 + 546. Let q(h) be the first derivative of -1 + 0*h - o*h**2 - 1/38*h**4 - 4/57*h**3. Let q(j) = 0. Calculate j. -1, 0 Let n be (3 - 2)/((-5)/10). Let z be n - 0 - (35 - 39). Factor 0 - 2*l - 2/3*l**z. -2*l*(l + 3)/3 Suppose -3*i - 3 = 0, 4*i + 27 = 5*r + 3. Let a be 2/(-5) + (r - 24/15). Let -3*l**a + 9*l - 19*l + 16*l - 3 = 0. What is l? 1 Let t(l) = -26*l**2 - 2*l. Let s(g) = g**3 + 336*g**2 + 13464*g. Let h(c) = s(c) + 4*t(c). Factor h(p). p*(p + 116)**2 Suppose -42/11*k**2 + 0 - 2*k - 18/11*k**3 + 2/11*k**4 = 0. Calculate k. -1, 0, 11 Let z = -48574 - -242874/5. Factor 4*h - z*h**2 - 16/5. -4*(h - 4)*(h - 1)/5 Factor 202*p**2 - 50*p**2 - 556516 - 51*p**2 - 53*p**2 - 2984*p - 52*p**2. -4*(p + 373)**2 Determine n, given that 2/19*n**3 + 1568/19 - 588/19*n - 102/19*n**2 = 0. -7, 2, 56 Suppose 4*g = -21*g + 375. Let b be 10/g*-9 - -6. Factor b + 0*k**2 + 1/3*k**4 + 0*k - 1/3*k**3. k**3*(k - 1)/3 Determine i, given that -375*i**3 + 0*i**4 - 3*i**4 - 270*i**3 - 1106*i**2 - 175*i**2 - 639*i = 0. -213, -1, 0 Let n = -18 - -21. Suppose -n = -3*u + 3. Factor v**u - 163 + 79 + 80. (v - 2)*(v + 2) Let i be 12/(-3) - (16 + -4799). Factor -2481*q - 5*q**3 - i*q - 18357 - 330*q**2 - 24973 - 9910. -5*(q + 22)**3 Let p(s) be the second derivative of -s**4/30 + 17*s**3/3 - 616*s**2/5 + 556*s + 3. Let p(f) = 0. Calculate f. 8, 77 Suppose -3221*n + 247*n**4 - 8*n**5 - 11*n**4 + 3017*n - 772*n**3 - 58*n**4 + 998*n**2 = 0. Calculate n. 0, 1/4, 2, 3, 17 Let a(d) be the second derivative of -d**6/180 + 479*d**5/120 + 961*d**4/72 + 481*d**3/36 - 2401*d + 2. Let a(k) = 0. Calculate k. -1, 0, 481 Let f be (-914)/(-42) - (-2)/(-6). Let b = 37/836 - -49901/5852. Solve -6/7*d**2 - f + b*d = 0 for d. 5 Let j be (2/(-33)*3)/(35/370300*-10). Factor -1/11*x**2 - j - 92/11*x. -(x + 46)**2/11 Factor -473/2 - 70/3*l - 1/6*l**2. -(l + 11)*(l + 129)/6 Let j = -8892 + 62256/7. Factor 1/7*f**3 + j*f + f**2 + 0. f*(f + 3)*(f + 4)/7 Let p be 135/(-108)*((-176)/20 + 8). Let p + 1/2*k - 1/2*k**2 = 0. Calculate k. -1, 2 Let c = 28 + -32. Let y be c/((-2 + -1)/3). Let -2*a**3 + a**4 + 2*a**y + 2*a**3 - 3*a**2 = 0. Calculate a. -1, 0, 1 Let h be (-1805)/(-4332)*(-9)/(-5). Determine o, given that -9/4*o**3 - h*o + 0 + 15/4*o**2 + 3*o**5 - 15/4*o**4 = 0. -1, 0, 1/4, 1 Let j(z) be the first derivative of 51*z**3/2 + 29*z**2 - 30*z - 2353. Suppose j(o) = 0. Calculate o. -10/9, 6/17 Let c(y) be the first derivative of 3*y**5/20 - 99*y**4/8 + 189*y**3/4 + 3*y**2/2 - 189*y + 2449. Suppose c(m) = 0. Calculate m. -1, 2, 63 Let i = -80 - -102. Suppose -5*a - 2 = -i. Factor 3*z**5 - 9*z**3 + 20*z + 4 + 39*z**2 + 64*z**a + 62*z**4 - 109*z**4 + 46*z**3. (z + 1)**3*(z + 2)*(3*z + 2) Let w(p) = p - 1. Let l = 322 + -317. Let s(q) = q**2 + 22*q + 23. Let y(n) = l*s(n) + 5*w(n). Determine a so that y(a) = 0. -22, -1 Let u be (2/12)/((-5)/(-9)) + 12210/(-100100)*-77. Factor -124/13*l + 2/13*l**2 - u. 2*(l - 63)*(l + 1)/13 Let c(l) = -25*l + 175. Let f be c(3). Solve -523*m**3 - 640*m - 60*m**4 + 38*m**3 + 356*m**2 + 729*m**2 + f = 0. -10, 1/4, 2/3, 1 Let g = 19521 + -19514. Let q(n) be the second derivative of 2/21*n**g + 2/5*n**6 - 4/3*n**3 + 0*n**2 - n**4 + 30*n + 1/5*n**5 + 0. Let q(m) = 0. What is m? -2, -1, 0, 1 Suppose -81*z + 77*z = -5*p + 9, 3*p + 1 = -4*z. Let r(d) = d**2 + d + 4. Let o(w) = -3*w**2 + 9*w + 14. Let v(b) = z*o(b) - 4*r(b). Factor v(x). -(x + 3)*(x + 10) Let -12*v**2 - 449*v - 2*v**2 + 23*v**2 - 2*v**2 - 902 - 6*v**2 = 0. What is v? -2, 451 Factor -5811*y**2 - 5*y**4 + 3433*y**2 + 2838*y**2 - 220*y**3. -5*y**2*(y - 2)*(y + 46) Suppose -32 = -10*z + 2*z. Factor 40*n**
{ "pile_set_name": "DM Mathematics" }
/(-7)). 5/12 Calculate (6/(-230))/(84/38920*139). -2/23 What is the value of 5*(-22)/275*-10*-1*14? -56 What is -8*(-1*15/(-24))/(645/2322)? -18 Evaluate 140/60*8/(-224)*64/16. -1/3 What is the value of (5/12)/(106/(-1219)*115)? -1/24 What is the value of 35200/4224*27/(-5)*1? -45 What is the value of (795/(-4664))/(354/(-1298))? 5/8 Calculate ((-240)/864)/((-80)/528). 11/6 What is the value of (75/(-30))/(1450/232)? -2/5 196/(-56)*54/147 -9/7 What is ((-2)/(-28))/(38/760*(-50)/(-20)*8)? 1/14 Calculate ((-3)/14)/((-660)/176)*-50. -20/7 What is ((-5)/(585/(-12)))/((-4)/9)? -3/13 1960/(-2352)*5/(500/12) -1/10 What is ((2/(-3))/((-24)/9))/(156/6513936*143)? 73 What is ((-108)/1026)/((-13)/741)? 6 Calculate (-110704)/(-9768)*(-30)/(-34). 10 Calculate 32/(-2800)*50*7. -4 Calculate 43/(-2924)*2*(-22)/(-11). -1/17 Evaluate (((-11536)/13916)/(-103))/(2/7). 2/71 (6960/1740)/(((-4)/29)/1) -29 Calculate (7632/3339)/((-30)/21). -8/5 Calculate 90/(-18)*3139/(-365). 43 Calculate (2055/(-822))/(15/(-210)*(-14)/8). -20 ((-195)/1300)/(2/(-40)*2) 3/2 Calculate 2230/(-2007)*(-648)/(-45). -16 What is (11125/(-10680))/((-4)/(24/(-10)))? -5/8 (-276)/24*14144/1564 -104 What is ((-18)/42)/(1026/684)? -2/7 Evaluate 30/((-9180)/117)*(-8)/(-52). -1/17 What is the value of ((-111)/74)/(((-8)/4)/(472/(-12)))*2? -59 What is (((-560)/12)/(-10))/(((-90)/(-108))/5)? 28 Evaluate (-5*56/(-80))/(504/4464). 31 What is (-9)/(-1)*82/216*-12? -41 Calculate 96/12*(1028/624)/(-257). -2/39 Calculate ((-11)/(5005/1050))/((-180)/(-2808)). -36 What is ((-6579)/(-2924))/((-2)/48)*(-4)/(-6)? -36 (-22)/8*(4/22*-1)/((-183)/(-1647)) 9/2 What is (0/((-5037)/73))/(-1)? 0 (167/(23380/525))/((-285)/(-12)) 3/19 Calculate 27880/(-246)*(50/5)/(-80). 85/6 Calculate 5060/690*((-116)/1595)/((-12)/10). 4/9 Evaluate 1812/(-9513)*9/((-9)/14)*(-36)/(-21). 32/7 What is ((-43)/(4214/(-84)))/(12/1890*9)? 15 Evaluate ((-5643)/(-2508))/((-4)/72*(-66)/8). 54/11 What is (1/(-1))/(37/((-199874)/111)*4/6)? 73 What is -6*(-3)/(-14)*(-4095)/1170*22/(-1)? -99 Evaluate ((-18601)/152)/(451/82)*8/(-6). 89/3 Evaluate (-1128)/94*(-143)/78. 22 Evaluate (232/12)/(((189/49)/(-9))/((-36)/56)). 29 What is the value of (((-35)/10*-14)/((-30)/(-6)))/(17/(-85))? -49 Evaluate ((5742/(-33))/29)/(6/((-3)/1)). 3 (((-160)/(-25))/(-4))/(802/6015) -12 Calculate (((558/(-18))/(-31))/((-1)/(-4)))/(2360/20). 2/59 What is 5/(-12)*(4656/(-510))/97? 2/51 What is the value of (98420/(-57))/20*(-1368)/(-1064)? -111 What is ((-376)/24)/((11/(-528))/(10/(-80)))? -94 (718389/58644)/((-1)/(4*2)) -98 Calculate (-420)/(-588)*84/930. 2/31 What is the value of 1/(-4)*(-40)/15*3/(-46)*-115? 5 What is -1*4/(-6)*-11*12/48? -11/6 What is the value of (2*(-2)/(-2))/((-56)/(-392)*497)? 2/71 What is the value of (3297/1413)/((14/372)/1)? 62 What is 5/((-50)/18)*((-4)/(-16))/((-2)/10)? 9/4 What is the value of ((-243)/(-405))/((80/150)/4)? 9/2 ((9*1)/(((-2208)/(-1840))/((-6)/140)))/(-6) 3/56 What is the value of 6/1*(-1)/2*10179/351? -87 Calculate 1*(-1)/(-11)*(-12925)/((-4794)/102). 25 What is the value of 49/3920*40*-10? -5 What is -285*6/9*-1*11*25/(-550)? -95 Evaluate 152/(-4)*2*-6*26/(-312). -38 (-28)/(-651)*3269322/2268 62 What is the value of (1*(-6)/(-55))/(30366/(-101220))? -4/11 ((22/(-8))/11)/(6425/(-1028)) 1/25 Evaluate -9*1*-3*(-20)/(-2970)*(-30)/4. -15/11 What is -182*(-2)/4*42/196*(-34)/(-51)? 13 Calculate ((-105)/(-18))/(-7)*(-467290)/(-14075)*3. -83 Calculate ((20/(-75))/((-35)/175))/(-14). -2/21 What is ((-6230)/(-4450))/((-147)/(-390))? 26/7 What is the value of (140/(-81))/(3010/(-5418))? 28/9 Evaluate ((66/(-120))/(4180/(-1900)))/(9/(-2)). -1/18 What is ((-134)/(-53935)*-23)/(1/(-5))? 2/7 What is the value of 30/(57/76*(-16)/(-24))? 60 Evaluate 9*(21*12/(-216)*16/140)/2. -3/5 (1332/8)/37*11/(-1650)*4 -3/25 What is ((11/77)/((-4)/(-14)))/2*-1? -1/4 Calculate 2*-24*(-1088)/(-9792). -16/3 What is the value of 4825/(-33775)*-2*154/4? 11 Calculate (-8)/(368/(-115)*25/1270). 127 What is the value of (-24)/(((-12450)/200)/(-249))? -96 22/(-5)*(-3581)/(-7162) -11/5 Calculate -8*(-31)/(992/(-36))*9/(-3). 27 What is (-21)/(-98)*(-322)/276*-204? 51 What is (3*(-1)/(72/12)*28)/((-1)/1)? 14 Calculate ((126/30)/7)/((-11979)/726). -2/55 Calculate (70/(-35))/(((-5)/(-204))/(5/200*25)). -51 ((-5)/(30/72))/(122/((-24400)/75)) 32 (-440)/(-112)*11935/(-3410) -55/4 Evaluate 27/6*(-3)/((-27)/(-6)). -3 What is ((-4)/(-10)*180/9)/(1/1)? 8 What is the value of 186/9*(-18)/((-4)/(-2)*285/(-190))? 124 What is (-22*14/(-14))/((25/(-5))/5)? -22 ((-8472)/5648)/(12/(-2)*2) 1/8 Calculate 123816/(-231)*(10/100)/(16/(-20)). 67 Calculate ((12/10)/1)/((-651)/(-21700))*(-12)/90. -16/3 Calculate 1794/2093*2058/(-84). -21 What is ((4669/(-138))/(-29))/((-7)/(-1))? 1/6 What is the value of (-2)/(9*8/(-234))*2/(-1)? -13 What is (((-131236)/112)/(-109))/((9/(-21))/((-6)/(-21)))? -43/6 Calculate ((-136)/64)/((-9)/(1008/(-70))). -17/5 What is (3166/45907*(-145)/4)/((-5)/(-148))? -74 (4/120*-5)/((-16)/(-48)) -1/2 (774/(-2451))/((-171)/27075) 50 (114/532*-7)/((-1)/8) 12 Evaluate ((-165)/(-12))/(1749/(-6996)). -55 What is the value of -1*(-4)/(3564/(-11))*6? -2/27 What is 3*26*((-504)/(-182))/3*2/234? 8/13 Evaluate ((-4)/(-46))/((-314704)/278392). -1/13 Calculate (8/(-20))/((-2*(-1)/(-10))/((-115)/3565)). -2/31 What is the value of (((-98)/(252252/(-143)))/((-5)/6))/((-50)/12)? 2/125 171/(-12)*70/15*15/((-1890)/(-72)) -38 What is the value of 23/(-575)*810/729? -2/45 Calculate (-60)/(-40)*(-27)/(35397/76). -2/23 Calculate 3*(2812/1443)/(-19). -4/13 Evaluate (-2232)/(-43524)*12/4. 2/13 Calculate ((-10)/(-60)*-10)/((-336)/504). 5/2 Calculate (404838/13608)/(7/(-8)). -34 Evaluate ((-10)/40)/((-20)/1500*-15). -5/4 What is (1465/(-586))/((-6)/(-60)*20/6)? -15/2 Calculate ((-234)/(-2964))/((270/40)/(-9)). -2/19 Evaluate ((-25)/82225*13)/((-8)/88*3). 1/69 Evaluate (2*(-1)/69)/(((-204)/108)/((-765)/135)). -2/23 What is the value of ((-2003976)/6423)/((-39)/4)? 32 Evaluate 11/((-935)/102)*6/(-16)*(-75)/(-90). 3/8 Calculate (-6)/340*2*134160/(-23478)*(-7)/(-4). 6/17 Calculate ((-233)/(133975/(-690)))/((-68)/(-5)). 3/34 What is (-87208)/5946*(-6)/(-77)? -8/7 Calculate ((-111)/9)/(798/2394). -37 30/(300/10)*4140/(-45) -92 What is 126/(-105)*165/6*(-15)/(450/40)? 44 Calculate (-6)/(((-123)/(-533))/1). -26 2*311/(-622)*(-10)/16 5/8 (6/2)/(2/(-204)*-9)*(-999)/666 -51 What is ((37*36/150)/(129/860))/(4/5)? 74 Calculate (-24)/30*104/(-864)*15. 13/9 Calculate ((320947/895)/(-163))/(1*-11). 1/5 Evaluate ((-495)/(514800/(-5824)))/(4/50*1). 70 Evaluate (40/(-135))/(((-2912)/5544)/13). 22/3 What is the value of 113/1*-1*(-33)/(891/(-27))? -113 What is the value of (((-7)/(175/(-15)))/(2184/140))/(-2)? -1/52 What is the value of (-9)/(-33)*26/(-2)*(216/24)/(-117)? 3/11 Evaluate (2/((-5)/(45/4)))/(5028/(-13408)). 12 15/52*(9/60)/((-1989)/(-1768)) 1/26 Calculate -5*(-1)/15*(-67)/(804/16). -4/9 What is 86/2709*196*(-48)/(-28)*(-9)/(-2)? 48 What is (3576/43210)/((-8)/20)? -6/29 What is the value of (-60)/((1575/42)/3)? -24/5 What is (1/(-10)*-4)/(29486/8182365)? 111 Calculate (132774/(-508967))/((-6)/(-1012)). -44 What is the value of (-33929)/(-131)*(-1)/7? -37 What is ((-8840)/(-7956))/(10/(-1008))? -112 What is 5*((-258)/(-1290))/((-2)/184)? -92 What is 23313/(-2045)*10/15? -38/5 What is the value of ((-20)/(-25))/((-44)/10*(-12)/48)? 8/11 (89/((-120951)/1208))/((-1)/9) 8 Evaluate (18/(-4)*(-10)/12)/((-17934)/(-5978)). 5/4 What is the value of 2*((-2310)/45)/(-22)*(-20)/(-105)? 8/9 419/2381596*588*((-2)/(-15))/(3/(-5)) -2/87 What is 3*(-2)/15*803040/5736? -56 Evaluate ((-1506)/85842)/(2/6). -1/19 What is the value of (((-126)/147)/(324/(-1848)))/((-2)/3)? -22/3 Evaluate (147/1372)/(45/(-175)). -5/12 What is the value of -11*9/33*4/12*-23? 23 Calculate (-3519)/(-9)*67/1139. 23 What is 11*(-6)/18*1314/3212? -3/2 What is the value of 240/(-432)*(-135)/(-10)? -15/2 Calculate ((-22)/1)/((-75)/300). 88 Calculate ((-80)/(-24)*1*522/290)/(-4). -3/2 What is ((1600/(-30))/(-10)*(-105)/(-40))/(2/4)? 28 Calculate ((-15012)/(-834))/((-5)/(200/12)). -60 Evaluate ((-26)/(-364))/((135/144)/(6/8)). 2/35 Evaluate (-80)/(-70)*308/(341/(-31)). -32 What is the value of (-2265)/13288*(-66)/15? 3/4 What is ((-1)/8)/(15/(-8100)*4
{ "pile_set_name": "DM Mathematics" }
1 - -1) a multiple of 4? True Let i(z) be the first derivative of 2*z**3/3 - 3*z**2/2 + 6*z + 3. Let k be i(-6). Suppose -5*m + k = -14. Does 22 divide m? True Let f(y) = -y**2 + y + 2. Suppose -20 = -n - 4*l, -2*n + 5*n + 3*l = 15. Let s be f(n). Suppose -192 = -2*w - s*w. Is w a multiple of 24? True Suppose 3*q = h + q - 8, -4*h = -5*q - 41. Is 7 a factor of h? True Suppose 340 = 11*p - 6*p. Is 17 a factor of p? True Suppose j + 3*f = -4, j - 3 = 2*j + 2*f. Let i be (36 - 0)*j - 2. Let u = 78 + i. Is u a multiple of 15? False Let z = 11 + -12. Is -1 + 13 + (-3 - z) a multiple of 10? True Does 22 divide 1062/8 + 18/(-24)? True Let v(h) = h**3 + 4*h**2 + h + 1. Let t be v(-3). Suppose -4*w + t*x + 188 = 4*x, 4*w - 192 = 4*x. Does 22 divide w? True Suppose -2*g - 18 = -5*g. Suppose 3*j - 24 - g = 0. Does 5 divide j? True Let l be -3 + -1 + 11 + 3. Suppose 4*d = 3*x + 285 + 53, -l = 5*x. Is 31 a factor of d? False Suppose -4 = -4*q + 2*n, -7*n = q - 2*n + 10. Let r(d) = 6*d**2 - 1 + q*d**3 - d**3 - 3*d**2. Is r(-2) a multiple of 19? True Let v = -9 + 5. Let y = -1 - v. Is 9 a factor of ((-5)/3)/(y/(-45))? False Let l be (-1)/1*(-1 + -9). Let y be (l/(-6))/(1/(-3)). Suppose -y*a = -a - 140. Does 12 divide a? False Let k(t) = 2*t**2 + 5*t. Let j be k(4). Let d = 79 - j. Does 12 divide d? False Let r = -46 + 93. Is r a multiple of 10? False Let w(c) = 2*c**3 + c**2 - 2*c + 5. Let x(z) = z**3 + z**2 - z + 5. Let a(y) = -2*w(y) + 3*x(y). Does 5 divide a(0)? True Let a = -40 + 57. Is 17 a factor of a? True Let m(t) = t. Let p = 0 + -2. Let b be (p/(-4))/((-1)/(-12)). Does 6 divide m(b)? True Suppose -5*k = -0*k - 25. Suppose 0*l - 6 = 2*l, 5*w - 60 = -k*l. Is 11 a factor of w? False Is 2 a factor of 24/2 - (-4)/4*1? False Let l = 17 - 7. Let f = 19 - l. Suppose -h - f = s + 4*h, 2*s - 3*h - 21 = 0. Is s a multiple of 4? False Let h(y) be the first derivative of -y**4/4 - 2*y**3/3 - 3*y**2/2 + 2. Does 9 divide h(-3)? True Suppose 5*c + 51 = f, 3*f - 129 = -0*c + 3*c. Is f a multiple of 21? False Let y be -2 - ((-5 - -2) + 2). Does 8 divide -2 - y - (-185)/5? False Let i = -3 + 17. Let g = i - 22. Is (-234)/g + (-6)/(-8) a multiple of 10? True Is (4 - 2 - 1) + 35 a multiple of 9? True Suppose -3*r - 3 - 12 = 0, 2*f + 1 = -r. Suppose -i - 5 = -f*i. Is 2 a factor of i? False Let r = 0 + 7. Let g = 3 - r. Let o = g - -7. Is o a multiple of 2? False Let n be (-6)/8 - 668/(-16). Is -1 - (-3 - -2)*n a multiple of 20? True Let w(c) = -c**3 + 5*c**2 + 2. Let x be w(5). Suppose x*r + 2*r = 88. Is r a multiple of 11? True Suppose 0*o - 5*m + 45 = o, 0 = -3*o - 5*m + 135. Suppose -3*y = 3*u - 0*u + o, 54 = -4*u - 2*y. Let k = 22 + u. Is 5 a factor of k? True Let s be 9/(-5) + 2/(-10). Let r = s + 4. Let p = r - -3. Is p a multiple of 5? True Let q = 12 - 8. Is 7 a factor of (2/q)/((-3)/(-84))? True Let c be (-2)/4 + 15/6. Suppose -2*k - 36 - 76 = -5*x, 0 = -c*x + 4*k + 32. Does 12 divide x? True Let i(q) = q**3 + 7*q**2 - 8*q - 9. Let k be i(-7). Suppose 0 = g + 14 - k. Suppose g - 12 = 3*d. Does 3 divide d? False Let j(o) = 6*o - 16. Let l(f) = f - 1. Let t(k) = j(k) - 10*l(k). Suppose 4*u + u + 25 = 0. Is 12 a factor of t(u)? False Suppose 1 = 4*q + 5. Let h(y) be the third derivative of -5*y**4/12 + y**3/6 + 5*y**2. Does 3 divide h(q)? False Let j = 113 + -14. Is j a multiple of 33? True Let u(r) = -r**2 - 9*r - 4. Is u(-8) a multiple of 2? True Let w be (78/(-7))/((-3)/21). Let u be -2 + -1 + 2 + w. Let m = -55 + u. Is m a multiple of 11? True Let n(r) = -6 + 2*r - 3*r + 6*r. Let c be (-2)/5 - (-44)/10. Is n(c) a multiple of 13? False Suppose -2*b = -i + 28, 0 = 4*i + 5*b - 124 - 1. Does 10 divide i? True Let k = 17 + -11. Suppose -s = k*x - x - 10, 5*s - 5*x - 20 = 0. Does 4 divide s? False Is 10/(-2)*(47 + -1)*-1 a multiple of 11? False Let k(o) = -3*o - 3. Suppose 7*m - 12*m = 55. Let y = m + 7. Does 3 divide k(y)? True Suppose 2*j = -2*j + 8. Let w be (-6)/21 + j/7. Suppose w*n = n - 4. Is 4 a factor of n? True Let f be 53/(2/8*1). Suppose f = 4*s - 100. Is 18 a factor of s? False Suppose 3*v - 110 = -2*v. Suppose -w = -0*w - v. Is w a multiple of 9? False Let o(k) = k**3 - 2*k**3 + k**3 - 5 - k**2 + k**3 - 3*k. Let w be o(5). Suppose -w = -4*f - q, -3*f + 3*q + 60 = -q. Does 8 divide f? False Suppose 0 = -0*k + 2*k. Suppose -2*q + k*q + 10 = 0. Is (q*2)/((-8)/(-20)) a multiple of 17? False Suppose 0 = 4*j + 5 - 37. Is 23 a factor of (-824)/(-32) + 2/j? False Let o(t) = -24*t**3 - 1. Let h = -5 + 4. Is 9 a factor of o(h)? False Let i = 1 - 11. Let n = -13 - -29. Let s = n + i. Is 6 a factor of s? True Let c = -6 + 11. Is 14 a factor of (8/(-6))/(c/(-210))? True Suppose -69 = -5*c + 271. Does 4 divide c? True Suppose 0 = -b + 3*b - 52. Suppose -3*p + 5*p - 4*v + 4 = 0, -2*v = 2*p - b. Is 2 a factor of p? True Suppose -3*w - 5 = -2*u, -w - 3*w - 8 = -2*u. Is 2 + (-6)/(3/w) a multiple of 8? True Suppose m = 4*m - 69. Does 5 divide m? False Suppose 0 = 2*h - 2*z - 130, -3*z + 1 + 2 = 0. Does 11 divide h? True Suppose 10 = 2*n - 7*n. Does 5 divide n*(9/3 + -17)? False Is -3 - (-4 + 0 - 28) a multiple of 29? True Let z(y) = -y + 6. Let q be z(6). Suppose q = -2*i + 7*i + 115. Let n = i + 51. Is n a multiple of 11? False Let u = 9 - -3. Let o = 23 - u. Suppose 2*j - 31 - o = 0. Does 7 divide j? True Let t be 1 - 14/(-1)*11. Suppose 5*r - t = -0*r. Does 13 divide r? False Let g(b) be the first derivative of 23/3*b**3 + b + 1/2*b**2 - 2. Is 11 a factor of g(-1)? False Suppose 3*s = 2*j - 150, 4*j + s - 61 = 225. Is 24 a factor of j? True Let c(q) = 20*q**3 + 3*q**2 + 3*q - 17. Let t(w) = 7*w**3 + w**2 + w - 6. Let z(p) = -6*c(p) + 17*t(p). Suppose 3*v + 9 - 3 = 0. Is 3 a factor of z(v)? True Suppose -2*r + 3*r - p - 25 = 0, -2*p = -4*r + 100. Is 17 a factor of r? False Suppose -5*q = -2*y + 7*y - 210, 4*y - 162 = -2*q. Is y a multiple of 15? False Let v(z) = -3*z + 8 + 1 - 3 + 12*z - z**2. Is v(7) a multiple of 11? False Suppose -24 + 2 = -2*q. Does 6 divide q? False Let p = -6 + 3. Is 9 a factor of ((-13)/p + -2)*9? False Suppose 0 = 3*y - b - 131, 0*y = -3*y + 2*b + 130. Does 31 divide y? False Suppose 0 = -4*u + 5*x + 628, -4*u - x = 3*x - 592. Is u a multiple of 19? True Let g = 30 - 21. Is 2 a factor of g? False Suppose 0 = -13*l + 67 + 24. Is l a multiple of 4? False Suppose 0*s + 5*s + 25 = 0, 4*v - 2*s + 250 = 0. Let p = -39 - v. Is 7 a factor of p? False Suppose -10*x + 11*x = 15. Is x a multiple of 5? True Let o be 3/3 - (3 - 59). Does 4 divide 12/(-30) + o/5? False Let p(s) = -24*s - 8. Let c(b) = -16*b - 5. Let a(y) = -7*c(y) + 5*p(y). Is a(-2) a multiple of 10? False Suppose -5*h = 2*t - 189, 4*t - 52 = -5*h + 341. Let r = -65 + t. Does 15 divide r? False Let o(j) = -4*j - 3. Let p be o(-2). Let h = p - 2. Does 3 divide h? True Is 9 a factor of ((-3)/(-5))/(546/90 + -6)? True Let u = -56 + 150. Is 25 a factor of u? False Suppose -301 = -4*z + 339. Does 41 divide z? False Let y(n) be the second derivative of n**5/20 + n**4/4 - 5*n**3/6 + 2*n. Let j be y(-4). Suppose -j = -2*c + 36. Is c a multiple of 20? True Is -2 - ((-8)/4 - 45) a multiple of 15? True Suppose 4*u + 3*f = 409, 0 = -2*u + 2*f + 28 + 180. Let m be 2 - (-7)/(21/9). Suppose 87 + u = m*h. Does 17 divide h? False Suppose -4*l + l = 18. Let d = 0 - l. Does 6 divide d? True Let v(h) = -2*h**2 + 2*h + 6. Let w be v(-4). Is (-7)/21 - w/3 a multiple of 4? False Suppose 22*o - 18*o - 16 = 0. Does 3 divide o? False Let m(s) = s**2 + 7*s - 6. Is m(-10) a multiple of 11? False Suppose -4*x + 9 = -7. Suppose -2*a = -x*a + 12. Is 6 a factor of a? True Suppose -5*m - 500 = -6*k + 2*k, k - 150 = -5*m. Is k a multiple of 26? True Suppose 0 = 2*p - 3*p + 2. Suppose 0 = p*u - 5*u + 102. Let y = u + -24. Does 10 divide y? True Suppose 0 = 5*n - 2*n - 243. Is 27 a factor of n? True Let b = 47 + -27. Is 15 a factor of b? False Let r be 14/(-3)*(-3)/(-2). Let s = 15 + r. Is s/(-12) + (-182)/(-3) a multiple of 20? True Let o = -14 - -52. Does 8 divide o? False Let s(z) = z**3 + 2*z**2 - 3*z - 2. Let o be s(-3). Let q = o - -5. Does 2 divide q? False Is 133 + -26 + (-3 - 1*-1) a multiple of 20? False Let r be 1/2 - 1/2. Suppose 3*o + 17 - 2 = r, -2*o = -d + 10. Suppose 4*q - 2*q - 42 = d. Is 7 a factor of q?
{ "pile_set_name": "DM Mathematics" }
*a**2 - 10*a. Let l(g) = -4*g**3 + 4*g**2 + 5*g - 3. Let v(x) = 8*l(x) - 3*r(x). What is v(4)? -2 Let a(w) = -8*w + 9. Let p(o) = 9*o - 12. Let r(l) = 1. Let u = 0 - -2. Let n(x) = u*r(x) + p(x). Let k(f) = -6*a(f) - 5*n(f). Determine k(6). 14 Let y(a) = 7*a**2 + 5 - a**2 - a - 2 - a**3. Suppose 2*j - 2*x = 160, 2*j + 5*x - 161 = -1. Let w be 450/j + 3/8. Calculate y(w). -3 Let i(b) = -2*b - 3. Let g(p) = -7*p + 83. Let f be g(12). What is i(f)? -1 Let t = -302 - -307. Let a(b) = b**3 - 7*b**2 + 4*b + 6. Determine a(t). -24 Let l(c) be the second derivative of c**5/20 + 3*c**4/4 + c**3/2 - 2*c**2 + 245*c. Calculate l(-9). -31 Let g(f) = 3*f - 44 + 2*f - 20 + f. Let h(m) = -m + 13. Let o(v) = -2*g(v) - 11*h(v). Give o(0). -15 Let o(r) be the second derivative of -r**3/3 + r**2/2 - 33*r. Determine o(5). -9 Let g(o) = -o**3 + o**2. Let s(t) = -6*t**3 - t**2 + 5*t + 4. Let c(l) = -5*g(l) + s(l). Let y be 1*(5 + -1 - 264/24). Calculate c(y). 18 Let n be (1 + -3 + 2)/(-1). Let y be (1 - -1) + n - 0. Let l(s) = 2*s**y - 4*s**2 - 2*s + 2*s - s. Determine l(2). -10 Let p be (-30)/(-4) + -5 - 2/4. Let x(n) = -n**3 - 24*n**2 + 8*n**p - 7 + 11*n**2. What is x(-5)? -7 Let i(g) = -3*g + 38. Suppose 4*n = 3*j + 39, -21*j + 23*j = -n + 18. What is i(n)? 2 Let w(z) = 2*z - 5. Let t be (6/(-13))/(37/(-481)). Calculate w(t). 7 Let h be 1*(-2 + 1)*0. Suppose 5*c = 4*g + 19, -5*g - 3 - 5 = -c. Let w(r) = -r**3 + c - 189*r**2 + 189*r**2. Give w(h). 3 Let v = 1434 - 1440. Let h(o) = -o**3 - 4*o**2 + 8*o - 23. What is h(v)? 1 Suppose -11 - 1 = d + 2*i, -4*d - 39 = 5*i. Let b(z) be the second derivative of z**3/3 + 9*z**2/2 + 18*z. Give b(d). -3 Let u(x) = 2*x + 7. Suppose 564*l - 575*l - 121 = 0. What is u(l)? -15 Let k(s) = -s**3 + 7*s**2 - 4*s + 30. Let g be k(7). Let t(h) = -6*h**2 + 3*h - 2. Give t(g). -20 Suppose 127*c - 124*c - 39 = 0. Suppose -c = -7*p + 8. Let r(m) = m**3 - 4*m**2 + 3*m - 1. What is r(p)? -1 Suppose 3*s - 9 = -0. Let q(d) = 10*d - 13*d + 3*d**2 + 2 - 4*d**3 + 2*d**s. Calculate q(2). -8 Let m = 64 + -50. Let n(y) = -y**3 + 15*y**2 - 14*y - 7. Calculate n(m). -7 Let i = -49 + 31. Let t = i - -21. Let q(n) be the second derivative of n**5/20 - n**4/6 - 5*n**3/6 + 3*n**2/2 - 2*n. Calculate q(t). -3 Let m(v) = v**3 + 3*v**2 + 5. Let p be (14 + -20)/((-3)/(-2)). Determine m(p). -11 Let k(l) = -l**2 + 6*l - 2. Let i be k(5). Let g be 1 - (-5 + i)/(-2). Suppose g = 3*a + 5*f - 28, -6*a - f + 8 = -3*a. Let c(n) = -7*n. Determine c(a). -7 Suppose 2*o + 5 = -q, -3*q - 7 = -o + 1. Let p = 4 - o. Let i = p + -2. Let x(a) = -a**3 + 4*a**2 - 2*a + 1. Calculate x(i). 4 Let r = 48 + -40. Suppose 3*y = -2 + r. Let h(j) = -j**3 - 3*j**2 + 4*j - 2. What is h(y)? -14 Suppose -24*v + 13*v + 22 = 0. Let c(o) be the second derivative of -9*o - o**v - 1/6*o**3 + 0. What is c(5)? -7 Let z(a) = -a - 2. Suppose -255 = -3*j + p - 5*p, p - 425 = -5*j. Let w = j + -87. What is z(w)? 0 Let q(v) be the second derivative of 0 + 11/20*v**5 + 0*v**4 - 1/6*v**3 + 0*v**2 - 16*v. Determine q(1). 10 Let z = 5 - 3. Suppose -c + 4*c - 2*m = 5, -z*c = -m - 5. Let o(b) = -b**2 + 6*b - 3. What is o(c)? 2 Let d(l) = -l**2 - 14*l - 38. Let a(k) = k**3 + 38*k**2 - 45*k - 244. Let j be a(-39). Give d(j). 2 Let d be (-28)/(-21) + (-2)/(-3). Let w(y) = -16 - y - y**d + 0*y**3 + 27 + y**3. Give w(0). 11 Let k(c) = -5*c**3 - 8*c**2 - 7*c + 3. Let j(i) = -11*i**3 - 17*i**2 - 15*i + 7. Let a(q) = -4*j(q) + 9*k(q). Let n(h) = h**2 + h - 3. Let p be n(0). Give a(p). -1 Suppose -8*v + 66 = 3*v. Let x(r) = 4*r - 3. Let c be x(2). Let j(g) = g**2 + 0*g + 2 - 2*g - c*g. Determine j(v). -4 Let f(g) be the first derivative of g**4/12 + 4*g**3/3 + 5*g**2/2 - 15*g - 22. Let b(x) be the first derivative of f(x). Suppose -4*u = u + 30. Determine b(u). -7 Let f(p) = -5 + p**2 + 3*p**2 - 7*p - p**2 - 2*p**2. Let v(c) = -4*c**2 - 87*c + 28. Let i be v(-22). Determine f(i). -11 Let c(v) be the first derivative of 2*v + 5/2*v**2 - 27. Calculate c(-4). -18 Let g(r) = -r**3 - 14*r**2 - 8*r - 2. Let s(t) = -t**2. Let b be (-27)/(-12)*(-24)/9. Let v(o) = b*s(o) + g(o). Give v(-7). 5 Let z(d) be the first derivative of -d**3/3 - 5*d**2/2 + 14*d - 332. Determine z(-7). 0 Suppose -6*f - 57 = -3*f. Let v = f - -20. Let a(k) = 6*k + v - 1 - 5*k. Determine a(5). 5 Let t(d) = -d**2 - 7*d - 3. Suppose -55 = -6*x + 227. Let i = 42 - x. Determine t(i). 7 Let r = 0 + 2. Suppose 3*a = -r*a. Suppose a = -4*x + 5*x - 1. Let f(n) = 5*n. Determine f(x). 5 Let c(x) = -24*x + 84*x - 29*x - 27*x. Let a(n) = -n**2 - 1. Let o be a(1). What is c(o)? -8 Let a = -4 + 6. Let j(x) = 3*x + 0*x - a + 9*x - 6*x. Calculate j(-2). -14 Let m(d) = -9*d**3 + 2*d**2 - 2*d + 25. Let c(o) = -16*o**3 + 5*o**2 - 5*o + 49. Let y(a) = -4*c(a) + 7*m(a). What is y(5)? -16 Let h(i) = -2*i**3 + 4. Let r be -2 + (-2 - 2)/(-1). Let w(l) = 0*l**2 + l**3 + l**r + 3*l - 2*l**3 - 2*l. Let o(c) = h(c) - 3*w(c). Give o(4). 8 Let z = 159 - 152. Let n(d) = -2*d + 17. Determine n(z). 3 Let k(y) = 8 - 18*y**2 + 3 - 23*y**2 + y - 10 + 17*y**2. Suppose 5 = 4*o - 9*o. Determine k(o). -24 Let n(s) be the first derivative of s - 2*s**2 - 1/3*s**3 + 11. Give n(-7). -20 Let g(b) = -17*b + 3*b**2 + 2*b**2 - 4*b**2 - 2*b + 3*b - 11. What is g(17)? 6 Let q(p) = 2*p - 6 - p + 5 - 5. Give q(3). -3 Let a be (11/3 - 3)*27. Let u = a + -9. Let b = u + -5. Let m(x) = -x - 1. Give m(b). -5 Let l(y) = -85*y - 101*y + 189*y + y**2 - 3. Give l(-3). -3 Let j(c) = 2*c**2 - 19*c - 8. Let g(y) = y**2 - 8*y - 4. Let k(s) = -5*g(s) + 2*j(s). Give k(4). -4 Let o = -17 - -19. Let h be (-12)/(o/(-1) + 4). Let y(w) = w**2 + 8*w + 6. Calculate y(h). -6 Let l(s) be the first derivative of s**4/4 + s**3/3 - s**2/2 - 4*s + 26. Let p be l(0). Let o(z) = -2*z**2 - 2*z - 2. Give o(p). -26 Let a(m) = 2*m**2 + 3*m**3 - 7*m**2 - 5 + 3*m**3 - 5*m**3. Let k(l) = -l**2 - 5*l - 1. Let v = 1 + -3. Let u be k(v). Calculate a(u). -5 Let j be 60/(-18)*(0 - 6/(-4)). Let c(q) be the second derivative of 0 + q**3 + 1/2*q**4 + 7/2*q**2 + 1/20*q**5 + q. Calculate c(j). 2 Let y(h) be the first derivative of -7/2*h**2 + 1/3*h**3 - 2*h - 41. Give y(6). -8 Let m(g) = g**3 + 5*g**2 - 2*g - 3. Let y(u) = u**3 - u**2 - 11*u - 9. Let n be y(4). Calculate m(n). 7 Let u(m) = m**2 - 9. Let g be 3 - 21*4/12. Let r be (g - -4)/((-6)/(-2)). Give u(r). -9 Let i(x) = -3*x**3 - 4*x**2 - 18*x - 4. Let b(v) = -v**3 + v**2 - 2*v - 1. Let a(m) = -4*b(m) + i(m). Determine a(9). -9 Let r(s) = -14*s**2 - s. Let z(a) be the second derivative of 0 + 0*a**2 - 1/20*a**5 + 0*a**4 + 0*a**3 + 9*a. Let d be z(1). What is r(d)? -13 Suppose 51 = -5*g + 3*x, -2*g - 5*x = -2*x + 12. Let k(n) = n**3 + 9*n**2 + 10. Determine k(g). 10 Let q(t) = -2*t**2 + 2*t**2 - 8*t - 14*t**2 + 8*t - t**3 - 12*t - 16. Determine q(-13). -29 Let c(i) = -3*i - 4. Let n = -930 - -930. What is c(n)? -4 Let i be 1 - (-3 + (1 - -2))/4. Let a(b) = 4 + 11 - b - 15. Let s(o) = o**2 + 7*o + 5. Let r(v) = i*s(v) + 2*a(v). Calculate r(-5). 5 Let c(n) = -484 - 15*n - 488 - 477 + 1461 + n**3 - 13*n**2. Determine c(14). -2 Let x(w) = -7*w**2 + 17*w - 19. Let v(h) = h**2 - h + 1. Let y(b) = 6*v(b) + x(b). What is y(10)? -3 Let b be -6 + 4 + 2 + 3. Suppose 2*d - 8 = -b*y, 0*y + 3*y - d = 5. Let p(n) = -2*n**2 + 4*n - 2. What is p(y)? -2 Let y(m) be the second derivative of m**5/20 - m**4/2 + 3*m**2/2 - 52*m. What is y(6)? 3 Let t(z) = 8*z**3 + 4*z**2 - 26*z + 29. Let n(f) = 3*f**3 + f**2 - 9*f + 10. Let p(s) = 11*n(s) - 4*t(s). Give p(4). -2 Let q = -7 + -1. Let x(d) = d**2 + 10*d + 11. Calculate x(q). -5 Suppose -3*k + 6 = 0, -4*k = -5*o - 2*k - 49. Let p = o - -4. Let w(x) = -x**2 - 3*x + 4. Calculate w(p). -6 Let s(w) = 2*w**2 - 6*w - 24. Let g(j) = 3*j**2 - 9*j - 33. Let k(v) = -5*g(v) + 7*s(v). What is k(2)? -1 Let z(y) = y**2 + 1. Let o(p) = 2 - 1 - 29 + 2*p + 11. Let b(v) = v**2 - 2*v + 2. Let j be b(4). Let l be o(j). Calculate z(l). 10 Let c = -6077 + 6072. Let k(h) be the second derivative of h**4/12 + 5*h**3/6 - h**2 - h. Calculate k(c). -2 Let n(b) = -2*b**3 - 6*b**2 + 3*b + 3. Let a be -7 - (3 - 10) - (1 - -2). Determine n(a). -6 Let r(q) = -9*q**3 - 2*q**2 + 1. Let w(m) = -2*m + 17. Let c be (-34 - -10)*2/(-6). Let i be w(c). Calculate r(i). -10 Let j = 152 + -157. Let q(p) =
{ "pile_set_name": "DM Mathematics" }
627303688*o = 0. -21921, -4, 0 Determine i so that 20*i**4 + 29328*i**3 - 760732*i**2 + 4733976*i + 2017184 = 0. -1492, -2/5, 13 Let -3*s**3 + 86526*s**2 + 346143*s + 259614 = 0. Calculate s. -3, -1, 28846 Solve -3*r**5/5 + 723*r**4/5 - 1422*r**3/5 - 6146874*r**2/5 + 4915485*r - 18429849/5 = 0 for r. -81, 1, 3, 159 Determine u, given that 2*u**2/5 + 20842*u/5 + 39474608/5 = 0. -7933, -2488 Determine k so that -338*k**3/3 + 187163314*k**2/3 + 633478736*k/3 + 536021288/3 = 0. -22/13, 553741 Factor 5*u**2 + 294135*u + 21151800. 5*(u + 72)*(u + 58755) Find v such that -2*v**5/19 + 18678*v**4/19 + 374326*v**3/19 + 318282*v**2/19 - 37436*v = 0. -19, -2, 0, 1, 9359 Let -2*u**4 - 423452*u**3 - 29879476632*u**2 - 702236944990372*u + 28841971335210458 = 0. What is u? -70589, 41 Factor 3*z**4/4 + 375*z**3/2 - 106176*z**2 - 28608744*z. 3*z*(z - 382)*(z + 316)**2/4 Solve -45*p**5 + 708810*p**4 - 944990*p**3 - 157520*p**2 + 314995*p + 78750 = 0 for p. -1/3, 1, 15750 Factor -2*q**2/5 - 125804*q + 1258048/5. -2*(q - 2)*(q + 314512)/5 Solve -2*l**4/7 - 1174*l**3/7 - 170424*l**2/7 + 543240*l/7 + 3132000/7 = 0. -300, -290, -3, 6 Solve -5*i**3 - 128530*i**2 + 899925*i - 771390 = 0 for i. -25713, 1, 6 Let 2*m**3 + 10808*m**2 - 977934*m - 988740 = 0. What is m? -5493, -1, 90 Let 5*w**2 - 2975325*w - 5950670 = 0. Calculate w. -2, 595067 Find q such that 228*q**4/11 - 118282*q**3/11 + 210030*q**2/11 - 66126*q/11 - 2350 = 0. -25/114, 1, 517 Find t such that -5*t**5 + 3275*t**4 - 596280*t**3 + 43706520*t**2 - 1226169360*t + 5908172400 = 0. 6, 78, 415 Let -8050*v**5 + 24700*v**4 + 31022*v**3 - 3608*v**2 - 1912*v - 32 = 0. What is v? -1, -1/5, -2/115, 2/7, 4 Let -308*p**3 - 21596*p**2 + 138848*p + 86336 = 0. What is p? -76, -4/7, 71/11 Let -335*o**2 - 22533776*o - 67265 = 0. Calculate o. -67265, -1/335 Factor u**2 - 749331*u + 6743898. (u - 749322)*(u - 9) Let -4*h**3 + 32727064*h**2 = 0. What is h? 0, 8181766 Suppose -4*n**4 - 17962428*n**3 + 53887308*n**2 - 53887316*n + 17962440 = 0. What is n? -4490610, 1 Factor 6*k**2/5 + 176724*k/5 + 3708558/5. 6*(k + 21)*(k + 29433)/5 Let -2*b**5/3 - 543878*b**4/3 - 36974050142*b**3/3 + 61626680210*b**2 - 86278585104*b + 36976769568 = 0. What is b? -135972, 1, 3 Suppose 3*g**4 + 16908*g**3 + 3578352*g**2 + 189449040*g - 393346800 = 0. What is g? -5418, -110, 2 Factor 2*y**4 - 5785512*y**3 + 5578726229664*y**2 - 1793155094147957600*y + 32274984221105721696. 2*(y - 964246)**3*(y - 18) Find s such that 3*s**3/7 - 10236*s**2/7 - 1184403*s/7 + 1194636/7 = 0. -113, 1, 3524 Factor -3*k**2/4 + 1424325*k + 28486575/4. -3*(k - 1899105)*(k + 5)/4 Determine a so that -a**4/6 + 1188991*a**3 - 12723289248781*a**2/6 - 4241099983234*a - 6361651758338/3 = 0. -1, 3566974 Determine s, given that 34*s**4/3 - 41646*s**3 + 1202816*s**2/3 - 850184*s - 351840 = 0. -6/17, 4, 6, 3665 Factor -5*r**4 + 1806300*r**3 - 10837680*r**2 + 21675280*r - 14450160. -5*(r - 361254)*(r - 2)**3 Suppose -3*o**3/7 - 330510*o**2/7 - 9101088291*o/7 + 109260658116/7 = 0. What is o? -55091, 12 Factor 529*t**4/3 + 14429234*t**3/3 + 98397651781*t**2/3 + 14259847340*t + 1549958700. (t + 13638)**2*(23*t + 5)**2/3 What is j in 3*j**3 - 4644*j**2 + 68685*j + 459900 = 0? -5, 20, 1533 Let 616225*j**3 + 412249815*j**2 - 3150981*j + 6021 = 0. Calculate j. -669, 3/785 Let -2*o**5 + 43378*o**4 + 2086752*o**3 = 0. What is o? -48, 0, 21737 Suppose 64*r**4/5 + 18055618*r**3/5 + 1273449618958*r**2/5 - 246734365488*r - 7959169440 = 0. What is r? -141060, -1/32, 1 Suppose 5*s**4 - 330*s**3 - 16505*s**2 + 16830*s = 0. Calculate s. -34, 0, 1, 99 Find w, given that 2*w**5/7 + 754*w**4/7 + 12956*w**3/7 + 1636*w**2 - 12958*w/7 - 12206/7 = 0. -359, -17, -1, 1 Solve -h**5/4 + 157857*h**4/4 + 1894391*h**3/4 + 5841111*h**2/4 + 3315241*h/2 + 631476 = 0 for h. -8, -2, -1, 157869 Factor -q**2/3 + 3994*q + 8757043/3. -(q - 12673)*(q + 691)/3 Find n such that -2*n**4 - 222402*n**3 + 7340718*n**2 - 80753222*n + 296104908 = 0. -111234, 11 Let 5*d**5 - 49154*d**4 + 1178679*d**3/5 + 866734*d**2 - 3969788*d/5 + 825384/5 = 0. Calculate d. -3, 2/5, 7, 9826 Factor 3*q**2 - 106988433*q + 213976854. 3*(q - 35662809)*(q - 2) Factor -2*l**2 - 53146*l - 1539552. -2*(l + 29)*(l + 26544) Suppose 1089*l**3 + 131*l**2 - 1089*l - 131 = 0. Calculate l. -1, -131/1089, 1 Let 4*f**3 - 74860*f**2 + 17059100*f - 977856500 = 0. Calculate f. 115, 18485 What is b in 5*b**2 - 41655400*b - 83310820 = 0? -2, 8331082 Factor 5*t**2/2 + 161027835*t/2 + 322055630. 5*(t + 4)*(t + 32205563)/2 Factor 3*m**2 - 172864818*m + 2490187108514427. 3*(m - 28810803)**2 Factor -2*w**3/5 - 8026*w**2/5 + 146898*w - 3323430. -2*(w - 45)**2*(w + 4103)/5 Factor 9*g**3 - 5709039*g**2 + 3806022*g. 3*g*(g - 634337)*(3*g - 2) Find f, given that f**3 + 111435*f**2 + 668583*f + 1002861 = 0. -111429, -3 Factor -6*x**2/7 + 104742*x/7 - 25403436/7. -6*(x - 17211)*(x - 246)/7 Determine c, given that -4*c**5 + 2434*c**4 + 46902*c**3 - 316602*c**2 + 372006*c + 270864 = 0. -24, -1/2, 3, 627 Factor 4*v**2/3 + 56476*v/3 + 1634440/3. 4*(v + 29)*(v + 14090)/3 Solve s**3/4 + 615031*s**2 - 4920260*s + 9840528 = 0 for s. -2460132, 4 Factor -s**3/2 + 30056*s**2 - 4080680*s + 138664512. -(s - 59976)*(s - 68)**2/2 Determine d, given that -2*d**2 - 205290*d - 112913752 = 0. -102092, -553 Let 2*a**2/9 - 2444*a/3 + 439810/9 = 0. What is a? 61, 3605 Let -28*p**3 - 94658*p**2 + 318066*p - 101520 = 0. What is p? -3384, 5/14, 3 Suppose 5*w**3 - 7810*w**2 - 102615*w + 378000 = 0. What is w? -16, 3, 1575 Factor t**3/4 + 6481*t**2/4 - 279233*t/2 - 584374. (t - 89)*(t + 4)*(t + 6566)/4 Find a such that -18*a**5 + 56020*a**4 - 1458694*a**3 + 6489484*a**2 - 8369736*a + 1555344 = 0. 2/9, 2, 3, 21, 3086 Factor -2*m**2/11 - 1663580*m/11 + 3327168/11. -2*(m - 2)*(m + 831792)/11 Suppose 3*b**5 - 96138*b**4 + 3073692*b**3 - 11141208*b**2 + 10756704*b = 0. Calculate b. 0, 2, 28, 32014 Factor -3*n**2 - 87999*n + 129271410. -3*(n - 1402)*(n + 30735) Determine u, given that -2*u**5/3 + 2386*u**4/3 + 311218*u**3/3 + 12545030*u**2/3 + 175868000*u/3 + 795575000/3 = 0. -50, -11, 1315 Determine i so that 2371842*i**5 - 256163292*i**4 + 6916761722*i**3 - 12702312*i**2 + 5832*i = 0. 0, 1/1089, 54 Let q**3 - 826*q**2 + 77792*q - 1952288 = 0. What is q? 52, 722 Suppose -4*z**2 - 12930164*z = 0. Calculate z. -3232541, 0 Let -3*m**4/2 - 145674*m**3 - 582687*m**2/2 - 145671*m = 0. What is m? -97114, -1, 0 Suppose -2*a**5/7 - 832466*a**4/7 - 86617046374*a**3/7 + 1645941993554*a**2/7 - 8576586078624*a/7 + 7017261963912/7 = 0. What is a? -208126, 1, 9 Factor -f**2/3 + 360635470*f/3 - 32514485555530225/3. -(f - 180317735)**2/3 Factor 3*c**3 - 126801*c**2 - 3045108*c + 6597396. 3*(c - 42291)*(c - 2)*(c + 26) Find h, given that -4*h**3 + 9772*h**2 + 598416*h + 5766912 = 0. -48, -12, 2503 Find q such that -125*q**2 - 253671150*q - 128698104684645 = 0. -5073423/5 What is b in -3356224*b**2 - 339191136*b - 8569945476 = 0? -46287/916 Factor -4*f**4 - 1271944*f**3 - 134816736240*f**2 - 4762715725791584*f + 38110354728703744. -4*(f - 8)*(f + 105998)**3 Find f such that 2*f**3/5 + 11044*f**2/5 - 2276958*f/5 = 0. -5721, 0, 199 Factor 3*p**2 + 16098*p - 41884533. 3*(p - 1917)*(p + 7283) Find w, given that 3955*w**2 + 953460*w + 73505 = 0. -241, -61/791 Factor -27*x**3 + 1322355*x**2 - 16191024816*x + 1798986432. -3*(x - 24488)**2*(9*x - 1) Factor -4*g**3 + 18540644*g**2. -4*g**2*(g - 4635161) Factor -2*z**2/11 + 2045138*z/11 + 2045140/11. -2*(z - 1022570)*(z + 1)/11 Solve -6*o**4/11 - 427654*o**3/11 + 1853254*o**2/11 - 1853274*o/11 + 38880 = 0 for o. -71280, 1/3, 1, 3 Solve -314820*v**4 + 3588963*v**3 - 1385379*v**2 + 66*v = 0. 0, 1/20988, 2/5, 11 Let 12*d**2/13 - 8602*d/13 + 637896/13 = 0. Calculate d. 84, 3797/6 Factor -g**3 + 166587*g**2/5 - 1389674664*g/5 + 35190343132/5. -(g - 16646)**2*(5*g - 127)/5 Suppose 2*t**5/9 - 3970*t**4/3 + 7532636*t**3/3 - 11413583944*t**2/9 - 476194868784*t = 0. What is t? -243, 0, 2066 Solve a**5 - 432542*a**4 + 46778768029*a**3 - 1215976779972*a**2 + 2291618986020*a - 1122420541536 = 0 for a. 1, 24, 216258 Let 3*o**2 - 15075*o - 7409028 = 0. What is o? -451, 5476 Factor 9*q**3/11 - 774363562*q**2/11 + 16656636751552044*q/11 + 3701474871918408/11. (q - 43020198)**2*(9*q + 2)/11 Determine u, gi
{ "pile_set_name": "DM Mathematics" }
Solve -3*y = 5*m - f, -4*m - 18 = -3*y - 3 for m. 0 Let f(u) = 5*u + 41. Let m be f(-8). Solve -m = q, 0*q + 1 = -3*h - q for h. 0 Let c(j) = -j**3 - 6*j**2 + 28*j + 14. Let d be c(-9). Solve -4*v + 0*m = 4*m + 24, 0 = v - d*m - 6 for v. -4 Let d = 285 + -285. Solve -3*j - 10 = g, d = -0*j + 2*j - 5*g + 35 for j. -5 Suppose 4*h = 4*u - 16, -2*h - 10 = 8*u - 11*u. Solve -5*f + u*z = -f - 4, 4*f - 28 = -4*z for f. 3 Let c = 13 + -11. Suppose 0 = 5*n - c*n - 12. Suppose -30 = u - 4*u. Solve n*x = -4*t, -3*t = -3*x - u + 40 for x. 5 Suppose 0 = -4*m + 34 - 18. Solve m*i - 10 = 2*y, 3*y + 2*i = 6*i - 11 for y. -1 Let f(q) = q**3 + 17*q**2 + 5. Let p be f(-17). Solve g + 4*g - 5*t = 0, -g = 4*t + p for g. -1 Let c = 276 - 261. Solve 5*h - 2*q - 2 + 11 = 0, 3*h + 2*q + c = 0 for h. -3 Let s be (-1 + -2)/(-1) - 0. Suppose b - 5*p - 12 = 0, -b + 4*p = -0*b - 10. Solve 4 = -b*h - 0*h - s*i, 0 = i for h. -2 Let r(j) = j**3 + 21*j**2 - 45*j + 25. Let i be r(-23). Solve -3*s - i*g = -3*g - 9, 0 = g for s. 3 Suppose p = -0*p - u + 1, 4*u + 20 = 2*p. Suppose -5*n + 20 = -x + 6*x, p*x + 8 = 2*n. Solve 2*z + n*l = z - 14, 4*z - 16 = 2*l for z. 2 Let o = -112 + 115. Suppose -4*z + 17 = -o. Solve 5*n - z*q = -35, -n + 0*n = 4*q - 18 for n. -2 Suppose 25 = 2*s + 17. Solve 5*b - 7 = 2*l - 5*l, 4*l = -s*b + 4 for l. -1 Suppose 14*a - 9*a + 195 = 0. Let x = -37 - a. Solve -5*t = -20, x*k + t = -1 + 13 for k. 4 Let a(t) = -t**2 + 2*t + 50. Let u be a(8). Solve 2*i + 11 = 3*w, 3*w = -u*i - 4 - 1 for w. 1 Suppose 2*v + 4 = 3*v. Suppose -3*x = l - 14 + 7, 4*l - 48 = -2*x. Solve -r + 0*r = v*c + l, 3*r = 2*c - 11 for c. -2 Let u be 91/(-8) + (-15)/(-40). Let m = u + 16. Solve 3*c = -5*b - 2 - 1, 3*b - 5*c - m = 0 for b. 0 Let j(o) = -2*o**2 - 7*o + 6. Let x be j(7). Let a = x + 146. Solve -5 = w - a*d, 4*d + 1 = 9 for w. 5 Let b(i) = 2*i**2 + 6*i + 7. Let k be b(-3). Suppose 0 = -4*u + k*u - 15. Solve -x - 3 + 5 = -s, -8 = -x - u*s for x. 3 Let k = 232 + -230. Suppose -5*q + 3*q + 11 = 3*i, 0 = -3*i + 4*q + 5. Let u = i - 0. Solve 4*l - 10 = -h, 3*l + 5*h = k - u for l. 3 Suppose -3*j + 72 = -m + 59, -17 = -3*j - m. Solve 0 = j*s + 25, -3*c - 4*s = 2*c + 10 for c. 2 Let k = -31 - -38. Suppose -10 = -k*i + 18. Solve i*o - 14 = 2*f, -3*f - 14 = -3*o - 5 for f. 1 Suppose -p - 3*w = -2*p + 58, 2*w - 290 = -5*p. Let u = p - 42. Solve -8 = 4*x - 4*o, u = -3*x + 7*x + 2*o for x. 2 Let j(m) = -m + 18. Let y be j(-5). Suppose 26 = -0*s - s + a, -3*s = -a + 68. Let t = y + s. Solve 0 = -t*n + f - 4, -3*n + 5*f = -3 + 2 for n. -3 Suppose 4*s - 75 = -4*y + s, -2*y = -s - 35. Let m = -7 + y. Solve 4*f - 2*f + 4 = -2*b, -4*f - m = b for f. -3 Let k be (13 - 12) + 0 + 5. Solve -4*s - 32 = 4*p, k = 3*s - 0*s - 3*p for s. -3 Let k be (2/4)/(3/(-54)). Let x = k - -11. Suppose -o = -x*o + 16. Solve 10 = 3*b + 2*b, 4*v = 2*b - o for v. -3 Let c be ((-7)/(-21))/(2/(-66)). Let k(g) = g**3 + 12*g**2 + 10*g - 10. Let v be k(c). Solve -2*n + 27 - 1 = -4*p, -p - 2*n + v = 0 for p. -5 Let d be -2*(-2)/4*2. Suppose 5*b + 2 = 6*b. Suppose t - 9 = -t - r, -b*t + d*r + 18 = 0. Solve 0 = -3*v - t*m + m - 3, 0 = 2*m for v. -1 Suppose 0 = 12*h - 5*h + 10*h. Solve -8 = -3*m + 5*v + 8, 3*m - 3*v - 6 = h for m. -3 Suppose 43 = 18*j - 14*j - 3*r, -4*j - 4*r + 8 = 0. Solve -5*c + 4*c - j = 3*f, -3*c - f - 13 = 0 for c. -4 Suppose 0 = 5*z + 2*r - 207, 7*z + r - 206 = 2*z. Suppose 2*b = z + 5. Solve 16 = 5*a - 2*g, g = -3*a - 9 + b for a. 4 Let d(y) = -y**3 - 16*y**2 - 15*y - 2 + 1 + 5. Let o be d(-15). Solve 25 = -5*w + o*m, -5*w + m + 0*m - 10 = 0 for w. -1 Suppose -58*j = -53*j - 25. Suppose -6*g + 4*g + 46 = 0. Suppose x - 16 = -3*l, 2*x - 5 = 4*l - g. Solve 4*t + l = -0*p + p, j*p - t = -13 for p. -3 Suppose 6*s = 3*s + 5*w + 72, 2*w = -4*s + 70. Suppose -5*b + 2*z + 95 = 3*z, -2*b + 41 = z. Let i = b + -13. Solve 3*q + v = -s, -q = q - i*v - 10 for q. -5 Suppose 6*j - 162 = -0*j. Suppose -j = -4*p - 15. Solve 5*v - 5 - 6 = -2*n, -4*n = p*v - 15 for v. 1 Suppose 0*y - 132 = -5*y + z, -5*y - 3*z = -124. Suppose y = 5*w + 1. Suppose -p + 1 = 2*k + 4*p, w*k + p = 14. Solve -2*o - 2*v + 2 = 0, o + o = k*v - 8 for o. -1 Suppose 11*y + 59 = 257. Solve 0*g - 13 = 3*m - 2*g, y = -3*m - 3*g for m. -5 Let m(n) = -2*n + 26. Let a be m(13). Suppose -r - 10 - 20 = a. Let y be (-115)/r - 2/(-12). Solve -4*h = 3*x - 10, -3*x + 2*x - y*h + 14 = 0 for x. -2 Suppose 0 = -8*u + 4*u - 16, 5*p - 3*u = 27. Suppose 25 = 5*k, 7*o - 3*k + 15 = p*o. Suppose o = 3*d - 12 + 3. Solve a = -d, -3*h + 0*h = -5*a - 12 for h. -1 Suppose p - 45 = -0*p. Suppose -4*o - 5*o = -p. Let b(v) = -2*v - 9. Let n be b(-6). Solve -3*m - 30 = 5*y, -2*y - 16 = o*m - n*m for m. -5 Suppose -4*u - 4*m + 4 = 0, -2*m - 8 = 2*m. Solve -4*b + 9 = -y, 5*b - 2*y + u*y - 18 = 0 for b. 3 Suppose -3*c + 5*b - 6*b + 12 = 0, 2*c = -b + 9. Solve -3*i = 2*i + h + 20, -12 = c*i + 4*h for i. -4 Let f(p) = -2*p**2 - 25*p + 3. Let r be f(-12). Solve -5*w + 4*j = -r, -j - 11 = 5*w - 1 for w. -1 Suppose 3*d + 2*b + 2*b = 34, d + 5*b = 26. Solve -4*o + 28 = 4*v, 4*v - d = 2*o + 4 for o. 3 Let b = 105 + -101. Solve 5*k - 4*t + 3*t = 10, b*t = 0 for k. 2 Let s be (6/(-4))/(9/(-12)). Let i(j) = 3*j + 4. Let u be i(8). Let r = u + -25. Solve -3 = -t, r*m - s*t - 3 = -0 for m. 3 Let o be (36/(-24))/(6/(-56)). Suppose 0 = -s - 11 + o. Solve -3*n - 5*w = 1, -s*n + 2*w - 8 = -0*n for n. -2 Suppose -21*b + 16*b + 5 = 0. Let p be 12/(b - 5) - -6. Solve -4*z = -p*w - 25, z + 1 = -3*w - 4 for z. 4 Suppose 1855 = -2*p + 1861. Solve 40 = -5*u + 5*x, -4*u = 4*x - p*x + 12 for u. -4 Let q be (-4 - -2)/(86/(-129)). Solve 4*m - q*v = 16, -5*m - 3*v + 20 = -0*m for m. 4 Let b(h) = -h**3 + 6*h**2 + 9*h - 10. Let k be b(7). Solve -s - 4*z = -1 - k, 2*s + 5*z - 10 = 0 for s. 5 Let s be (-2)/(-8) + (126/8 - 2). Suppose 3*y + 88 = s*y. Solve -v + 3*v - y = 0, 3*v - 7 = -c for c. -5 Let o be (630/4)/(-9)*2. Let s = -32 - o. Solve 9 = -p - 2*l, 5*l - 6*l = -2*p - s for p. -3 Let q = -60 - -24. Let k = -35 - q. Solve -2*a + 2 = 2*n, 0 = n + 4*a - 2*a + k for n. 3 Let a be -3 - ((-158)/18 + 8/(-36)). Let j = 2 + -6. Let y = j + a. Solve 5*d + 22 = -q, d = -y*d - q - 14 for d. -4 Let f(q) = -6*q - 56. Let k(i) = 3*i + 28. Let h(b) = -2*f(b) - 5*k(b). Let d be h(-13). Solve -3*r + 4*j = 19, -3 - d = -2*r - 4*j for r. -1 Suppose 284 - 84 = -4*p. Let k be (-14)/(-4) + (-25)/p. Solve -2 = -k*s - 10, 3*v - s - 11 = 0 for v. 3 Let c be (-1)/1*(0 + -4). Let m(i) = -i**2 - 3*i + 85. Let l be m(-10). Suppose w - l = -c*w. Solve 0 = -2*f - 0*f - 5*a - 13, -w*f = -4*a - 15 for f. 1 Let z(s) = s**3 - s**2 - 2*s + 2. Let c be z(1). Suppose -141 = -5*d + 3*f, -4*d - 3*f - 29 + 131 = c. Solve -5*a + d = -4*g, -a - 21 = 5*g - 3*a for g. -3 Let f(c) = 5*c + 4. Let t(j) = 4*j + 5. Let m(w) = -5*f(w) + 6*t(w). Let r be m(10). Let s = r + 4. Solve -3*k = 3, s*k + 7 = l - k for l. 2 Suppose 0 = -5*b + 14 - 4. Suppose r = -y - 1, -3*r + 4*y + 2 = b*y. Let v be 14 - ((-2)/(-2) + r). Solve l - v = -2*l + 4*t, -l - 2 = 5*t for l. 3 Let y(r) = -11*r**2 + 38*r - 37. Let g(v) = 7*v**2 - 25*v + 25. Let i(s) = -8*g(s) - 5*y(s). Let c be i(6). Solve 3*f - 4*t = -1, f + 0*f - c = -t for f. 5 Let u(x) be the second derivative of -x**5/20 - 5*x**4/12 + 5*x**3/2 + 5*x**2 + x. Let t be u(-7). Solve -q + 11 = -4*h, 37 = -4*h - t*q + 6 for h. -4 Let y = 663 - 654. Solve 0 = -5*j + 2*l - 9 - 12, -l = 4*j + y for j. -3 Let d(z) = -3*z + 10. Let i be d(3). Let v be -4 + 3 + (22 - -1)*i. Solve 0 = q + 7*x - 2*x - v, 0 = 2*x - 8 for q. 2 Suppose -5*s = -2*c - 23 + 8, 11*c - 3*s = -9. Solve c = -6*m + 5*m, 0 = -5*f - 2*m + 20 for f. 4 Let m be (93/(-18))/(-1) - (-1)/(-6). Solve m*k - 4*x = 10, -3*k = -5*k - x - 9 for k. -2 Let i(r) = -r - 10. Let x be i(-9). Let m be 4 - x - (-2 + 2). Solve 5*t = 2*b - 14, m*t - b = -10 - 7 for t. -4 Let a(y) = -2*y**3 + 8*y**2 + 42*y. Let z be a(7). Solve c = -2*w - 7, z = -4*c - 3*w + 2*w - 21 for c. -5 Let i(d) = -6*d**2 + d + 1. Let w be i(-1). Let k(b) = -7*b + 5*b**2 + 12*b**3 + 2 - 5 - 11*b**3. Let p be k(w). Solve j - 4*h - 2 = 1, 0 = -p*j - h - 4 for j. -1 Suppose 4 = 4*n - 3*n. Suppose -n*u - 2*c + 13 = -c, -3*u - 4*c = -13. Suppose 9*p - 5 = -5. Solve -2*f = 5*o - u - 7, p = 4*f for o. 2 Let j be 5
{ "pile_set_name": "DM Mathematics" }
mine l*t(r) + z*p(r). -r**3 - r Suppose -w - 12 = -4*w. Suppose 0 = 4*z - 4 + 24, -w*n - z = -7. Let c(t) = 1. Let b(s) = -2*s + 5. Determine n*c(k) - b(k). 2*k - 2 Let h(n) = -11*n**2 - 13*n - 20. Let t(s) = 5*s**2 + 6*s + 9. Give 4*h(q) + 9*t(q). q**2 + 2*q + 1 Let z(j) = -29*j**2 + j - 12*j**2 + 7 + 47*j**2. Suppose -2*y - 2*y = 3*b + 17, 4*y + 18 = -2*b. Let m(x) = 4*x**2 + x + 5. Give y*z(q) + 7*m(q). -2*q**2 + 2*q Let f be (1 - (-5)/5) + -4. Let h(n) = n**2 + n + 1. Let i(y) = 4*y**2 + 3*y + 4. Give f*i(q) + 6*h(q). -2*q**2 - 2 Let k = -16 + 10. Let t(o) = -3*o**3 + 17*o + 8. Let g(v) = -v**3 + 2*v - 1. Let u(b) = b**3 - 3*b. Let z(m) = 3*g(m) + 4*u(m). What is k*t(q) - 17*z(q)? q**3 + 3 Let c(l) = l - 2. Let z be 1 - (0 - (-4)/(-2)). Let q be c(z). Suppose 2*n - 7 = q. Let f(r) = -4*r - 9. Let j(t) = 2*t + 4. Calculate n*f(g) + 9*j(g). 2*g Let f(j) = 6*j. Let a(k) = 19*k - 48. Let h(y) = -7*y + 18. Let i(t) = 3*a(t) + 8*h(t). Give 3*f(q) - 14*i(q). 4*q Let n be (-1 + 3)*(11 + -9). Suppose -3*j = -n*j + 1. Let r(t) = -t. Let s(v) = 3*v + 1. What is j*s(z) + r(z)? 2*z + 1 Let n(k) = -k**2 - k + 1. Let l be n(-2). Let y be -6 - (l + 4/(-4)). Let h(v) = -2*v**2 - 3*v. Let t(b) = -2*b**2 - 2*b. What is y*h(d) + 6*t(d)? -4*d**2 Suppose 4*c + g - 24 = 0, 6*g - 16 = 2*g. Let o be c - ((0 - 3) + 0). Let f(r) = 0*r + o - 18 + r + 11. Let k(h) = 3*h + 3. Calculate 5*f(s) - 2*k(s). -s - 1 Let s(v) = 3*v**3 + 33*v - 5. Let g(z) = -5*z**3 - 66*z + 9. What is -4*g(d) - 7*s(d)? -d**3 + 33*d - 1 Let y(h) = -11*h**2 + 3*h + 7. Let s = -91 + 92. Let x be 5 + s/(5/10). Let u(w) = -5*w**2 + 2*w + 3. Calculate x*u(b) - 3*y(b). -2*b**2 + 5*b Let b(q) = 3*q - 18. Let k(w) = -2*w + 12. Suppose 0 = -y + 2*a - 1, 4*y + 17 + 14 = -a. What is y*k(g) - 5*b(g)? -g + 6 Let k(q) be the first derivative of q**3/3 + 3*q**2/2 - 2*q + 1177. Let j(f) = -f**2 - 4*f + 3. Let m be (-1)/(-5) - 28/(-10). What is m*k(c) + 2*j(c)? c**2 + c Suppose -2*w + 6*w = -5*q - 55, 2*q + 2*w + 22 = 0. Let l(t) = -13*t + 5. Let x(b) = 25*b - 9. Give q*l(g) - 6*x(g). -7*g - 1 Let b(w) = -41*w + 2. Let f(c) = 124*c - 6. Determine 11*b(p) + 4*f(p). 45*p - 2 Let m(p) = -p**3 - 16*p**2 - 16*p - 10. Let j be m(-15). Let b be j*(1 - (-3 - -3)). Let u(i) = -9 + 10 + 3*i - b. Let s(l) = -l + 1. What is -14*s(v) - 4*u(v)? 2*v + 2 Let q(o) = -4*o - 9. Let v be (-2)/(-7) - 24/(-14). Let j be ((-10)/4)/(1/(4 - 6)). Let h(y) = 2*y + 4. Give j*h(t) + v*q(t). 2*t + 2 Let t(m) = -107*m - 51. Let p(n) = 36*n + 17. Give 7*p(i) + 2*t(i). 38*i + 17 Let k(a) = 5*a**2 - 3*a + 57. Let u(i) = 3*i**2 - 2*i + 56. Give 2*k(d) - 3*u(d). d**2 - 54 Let q(h) = -h**3. Let g(r) = -r**3 + 3*r. Let s be (-275)/165 - 16/(-6). Determine s*g(o) - 2*q(o). o**3 + 3*o Let d(c) = -c + c - 1 - c. Let i(g) = 6*g + 7. Let b = -364 - -368. Give b*i(f) + 28*d(f). -4*f Let g be 1/(6/22)*3. Let r(p) = -8*p + 14. Let f(a) = 12*a - 21. Suppose 7*x = 6*x + 5. Let d(y) = x*f(y) + 7*r(y). Let l(u) = 2*u - 4. What is g*l(i) - 6*d(i)? -2*i - 2 Let o be -5*-3*2/15. Let x(j) be the third derivative of j**5/60 + j**4/24 - j**3/6 + j**2 + 25. Let b(d) = d**3 - 2*d + 3. Determine o*x(p) + b(p). p**3 + 2*p**2 + 1 Let v(x) = x**3 + 2. Let g(i) = -6*i**3 - 6*i**2 - 13*i - 9. Calculate g(j) + 5*v(j). -j**3 - 6*j**2 - 13*j + 1 Let q(f) = 2*f**3 + 3*f**2 - 8*f - 6. Suppose -65*p + 68*p = 39. Let b(r) = -4*r**3 - 7*r**2 + 17*r + 13. What is p*q(t) + 6*b(t)? 2*t**3 - 3*t**2 - 2*t Let q(c) be the second derivative of c**4/6 + c**3/6 + 7*c**2 - 8*c. Let i(y) = y**2 + 5. Let h = -70 + 78. Determine h*i(j) - 3*q(j). 2*j**2 - 3*j - 2 Let f(m) = -m**2 - 5*m - 1. Let g(s) be the second derivative of 0 - 1/3*s**3 - 1/2*s**2 - 44*s. What is 2*f(a) - 5*g(a)? -2*a**2 + 3 Let h(d) = 2*d - 1. Let g(f) = -23*f + 6. Calculate g(t) + h(t). -21*t + 5 Let k(l) = 1465*l**2 + 35*l - 105. Let w(c) = 122*c**2 + 3*c - 9. Calculate 3*k(j) - 35*w(j). 125*j**2 Let a(r) = -13*r**3 + 4*r**2 + 4*r + 4. Suppose 0 = f - 4*k + 35 - 11, 41 = -4*f + 5*k. Let u(i) = 12*i**3 - 3*i**2 - 3*i - 3. Determine f*u(h) - 3*a(h). -9*h**3 Let k(f) = -5*f**2 - 3*f - 50. Let h(j) = -9*j**2 - 5*j - 99. Determine -3*h(m) + 5*k(m). 2*m**2 + 47 Let h(v) = -13*v + 2. Let g(l) = 2*l + 1. Determine 6*g(j) + h(j). -j + 8 Let c(o) = -151*o**3 + 3*o**2 + 4*o - 3. Let u(v) = -303*v**3 + 5*v**2 + 7*v - 5. Give -5*c(y) + 3*u(y). -154*y**3 + y Let b(n) = n**3 - 15*n**2 - 32*n - 30. Let l be b(17). Let y(c) = -c + 1. Let z(o) = 8*o - 4. Determine l*y(q) + z(q). 4*q Let y(n) = 5*n**2. Let z(u) = 6*u**2 - 5*u**2 - 6*u**2. Give 3*y(c) + 4*z(c). -5*c**2 Let z(b) = 8*b + 30. Let y(r) = -8*r - 33. Give -4*y(m) - 5*z(m). -8*m - 18 Let r(u) = -u**3 - u**2 + u - 3. Let o be r(0). Let b(w) = w + 359 - 24*w**3 - 17*w**3 + 40*w**3 - 359. Let s(n) = -n**3 + 2*n. Calculate o*s(i) + 6*b(i). -3*i**3 Let h(s) be the third derivative of -s**4/12 - 282*s**2. Let z(j) = -j. Calculate -2*h(i) + 3*z(i). i Let j(r) = 7*r**3 + 4*r**2 - 4*r - 1. Let g = -882 + 886. Let z(f) = -f**3 - f**2 + f. What is g*z(n) + j(n)? 3*n**3 - 1 Let t(w) = -8*w**3 - 4*w**2 + 5*w - 5. Let j(q) = -33*q**3 - 15*q**2 + 21*q - 21. Calculate 5*j(n) - 21*t(n). 3*n**3 + 9*n**2 Let d(n) = 44*n + 22. Let u(p) = -29*p - 14. What is -5*d(j) - 8*u(j)? 12*j + 2 Let i(n) = -19*n**3 + 13*n**2 - 3*n - 13. Let c(k) = -9*k**3 + 6*k**2 - k - 6. Let j = -946 + 940. Determine j*i(w) + 13*c(w). -3*w**3 + 5*w Let u(c) = 4*c**3 + 5*c**2 + 4*c + 17. Suppose 58 - 8 = -10*p. Let g(t) = 2*t**3 + 3*t**2 + 2*t + 9. Give p*g(q) + 3*u(q). 2*q**3 + 2*q + 6 Let p(w) = w. Let r(y) = -6*y - 3. Let q(j) = -j**3 - 7*j**2 - 2*j - 14. Let t be q(-7). Suppose -3*o = -t*o + 12. Determine o*p(h) - r(h). 2*h + 3 Let n(v) = -3*v**2 + 5*v. Let i = 230 + -236. Let k(r) = r**2 - 2*r. What is i*n(z) - 15*k(z)? 3*z**2 Let m(u) = -u. Let n(q) = 1. Let h(z) = -m(z) - n(z). Suppose -23*a = -20*a - 21. Let p(s) = 4*s - 3. What is a*h(c) - 2*p(c)? -c - 1 Let w(d) = 7*d + 1. Let k be (-9)/12*16/(-6). Let x(q) = 2 + 2*q - 1 + k*q. Calculate -3*w(s) + 5*x(s). -s + 2 Let y(q) = 2*q**2 + q - 2. Let h(r) = -2*r**2 - 4*r + 1. Determine -h(m) - 3*y(m). -4*m**2 + m + 5 Let v(z) = -z**2 - 2 + 0 + 3 - z. Let w(t) be the second derivative of t**4/12 + 6*t. Suppose 6 = -3*k, -k = 5*o + k - 1. What is o*w(a) + 2*v(a)? -a**2 - 2*a + 2 Let r(o) = o**3 + 2*o**2 + 2*o + 15. Let a(t) = -4*t**3 - 5*t**2 - 5*t - 30. Give 2*a(k) + 5*r(k). -3*k**3 + 15 Let q(r) = -3*r. Let k be (3 + -9)*-13 - 1. Let d(z) = -56*z. Give k*q(i) - 4*d(i). -7*i Let k(t) = -7*t - 3. Let b(h) = -3*h - 13 + 9 + 3. Determine -5*b(y) + 2*k(y). y - 1 Let j(v) = v. Let g(t) = -5*t**3 - 2*t**2 - 3*t. Let f be g(-1). Let a(l) = l**2 + 9*l - 1. Give f*j(r) - a(r). -r**2 - 3*r + 1 Let f(h) = -44*h**3 - 17*h**2 - 68*h + 13. Let u(a) = 15*a**3 + 6*a**2 + 24*a - 4. Determine -6*f(n) - 17*u(n). 9*n**3 - 10 Let v(t) = 13*t**3 + 9. Let m = -37 + 46. Let y(k) = 19*k**3 - 10*k**3 - 6*k**3 + 2. Give m*y(x) - 2*v(x). x**3 Let o(k) = 9*k**2 + 2. Let s(u) be the first derivative of -28*u**3/3 - 7*u - 194. Determine 7*o(i) + 2*s(i). 7*i**2 Let i(y) be the third derivative of -y**4/24 - 5*y**3/6 - 6*y**2. Let n(w) = w + 6. Give -3*i(d) - 2*n(d). d + 3 Let t(a) = 67*a**2 - 2*a + 4. Let n(o) = -203*o**2 + 7*o - 14. Give 2*n(v) + 7*t(v). 63*v**2 Let l(j) = j + 2. Let r(v) = 297*v + 792. Give 396*l(t) - r(t). 99*t Let i(q) = q**2 + 2*q - 1. Let p(v) = 3*v**3 - 8*v**2 - 6*v + 3. Determine 3*i(z) + p(z). 3*z**3 - 5*z**2 Let v(k) = -40*k**2 - 1419*k + 34. Let u(z) = -14*z**2 - 473*z + 12. What is 17*u(w) - 6*v(w)? 2*w**2 + 473*w Let w(v) be the second derivative of -v**5/10 - v**4/3 - v**3/2 + v + 12. Let x(l) = l**3 + l**2 + l. Suppose 0*h = -3*h - 3. Determine h*w(o) - 3*x(o). -o**3 + o**2 Let f(n) = 243*n + 8. Let d(m) = 244*m + 9. What is -6*d(r) + 7*f(r)? 237*r + 2 Let j(z) = z**3 - z**2 - z + 1. Let o = -3 + 4. Let b(s) = -3*s**3 + s**2 - s. Let g be b(1). Let c(d) = 4*d**3 - 3*d**2 - 2*d + 4. What is g*j(r) + o*c(r)? r**3 + r + 1 Let s(t) = -t**3 - 6*t - 36. Let v(x) = -x. Determine -s(a) + 4*v(a). a**3 + 2*a + 36 Let m(o) = 3*o + 10. Let t(y) = -4*y - 14. Let r(i) = 7*m(i) + 5*t(i). Suppose -6 = -5*x - 5*z - 16, -z + 28 = -5*x. Let a(n) = -7*n - 1. What is x*r(b) - a(b)? 2*b + 1 Let
{ "pile_set_name": "DM Mathematics" }
e between 6:13 PM and 7:50 PM? 97 What is 559 minutes after 2:30 PM? 11:49 PM How many minutes are there between 2:28 AM and 2:37 AM? 9 How many minutes are there between 7:25 AM and 7:50 AM? 25 What is 453 minutes after 1:42 AM? 9:15 AM What is 660 minutes before 10:28 PM? 11:28 AM How many minutes are there between 7:43 PM and 12:13 AM? 270 What is 331 minutes after 9:02 AM? 2:33 PM What is 52 minutes after 8:51 PM? 9:43 PM How many minutes are there between 12:15 PM and 11:27 PM? 672 How many minutes are there between 1:24 PM and 7:24 PM? 360 What is 482 minutes before 2:59 AM? 6:57 PM What is 128 minutes before 7:33 PM? 5:25 PM What is 92 minutes before 1:46 PM? 12:14 PM What is 325 minutes before 12:02 AM? 6:37 PM How many minutes are there between 6:09 PM and 9:38 PM? 209 How many minutes are there between 2:36 PM and 2:31 AM? 715 What is 591 minutes before 11:00 PM? 1:09 PM How many minutes are there between 5:47 PM and 9:58 PM? 251 How many minutes are there between 5:37 PM and 4:05 AM? 628 How many minutes are there between 11:16 AM and 4:40 PM? 324 What is 110 minutes before 8:48 AM? 6:58 AM What is 482 minutes before 3:34 AM? 7:32 PM How many minutes are there between 6:41 AM and 7:32 AM? 51 What is 217 minutes after 2:43 PM? 6:20 PM How many minutes are there between 9:26 AM and 7:37 PM? 611 What is 599 minutes after 3:13 PM? 1:12 AM How many minutes are there between 11:52 AM and 9:01 PM? 549 What is 404 minutes after 8:38 AM? 3:22 PM What is 223 minutes after 3:25 PM? 7:08 PM What is 439 minutes after 8:02 PM? 3:21 AM What is 611 minutes after 3:25 AM? 1:36 PM What is 103 minutes before 1:46 AM? 12:03 AM What is 428 minutes after 4:22 PM? 11:30 PM What is 552 minutes after 7:03 AM? 4:15 PM How many minutes are there between 9:45 AM and 11:57 AM? 132 What is 699 minutes after 6:27 AM? 6:06 PM How many minutes are there between 1:33 PM and 8:37 PM? 424 What is 402 minutes after 1:06 AM? 7:48 AM How many minutes are there between 1:19 PM and 3:51 PM? 152 How many minutes are there between 1:54 AM and 5:57 AM? 243 How many minutes are there between 4:58 AM and 3:28 PM? 630 How many minutes are there between 5:26 AM and 11:25 AM? 359 How many minutes are there between 2:36 AM and 8:01 AM? 325 How many minutes are there between 3:58 AM and 12:38 PM? 520 How many minutes are there between 6:10 PM and 11:42 PM? 332 How many minutes are there between 6:45 AM and 6:59 AM? 14 How many minutes are there between 7:34 PM and 1:33 AM? 359 What is 33 minutes before 7:45 PM? 7:12 PM How many minutes are there between 5:30 AM and 11:23 AM? 353 How many minutes are there between 4:32 PM and 4:34 PM? 2 What is 318 minutes after 2:03 AM? 7:21 AM What is 607 minutes after 6:58 PM? 5:05 AM How many minutes are there between 1:18 AM and 9:10 AM? 472 How many minutes are there between 3:55 PM and 11:41 PM? 466 What is 173 minutes before 1:56 AM? 11:03 PM What is 414 minutes before 2:16 AM? 7:22 PM How many minutes are there between 12:24 AM and 7:48 AM? 444 How many minutes are there between 1:46 AM and 7:30 AM? 344 How many minutes are there between 8:11 AM and 10:58 AM? 167 How many minutes are there between 2:58 PM and 2:18 AM? 680 What is 244 minutes after 8:41 PM? 12:45 AM What is 166 minutes after 3:49 PM? 6:35 PM What is 255 minutes after 12:59 AM? 5:14 AM What is 292 minutes before 9:41 AM? 4:49 AM What is 266 minutes before 8:12 PM? 3:46 PM What is 558 minutes after 10:22 PM? 7:40 AM What is 682 minutes after 1:04 PM? 12:26 AM How many minutes are there between 11:24 PM and 1:27 AM? 123 What is 420 minutes before 12:28 AM? 5:28 PM How many minutes are there between 5:17 PM and 2:09 AM? 532 What is 706 minutes before 5:31 PM? 5:45 AM What is 376 minutes before 11:14 AM? 4:58 AM How many minutes are there between 6:16 AM and 6:55 AM? 39 How many minutes are there between 12:27 PM and 7:50 PM? 443 How many minutes are there between 3:57 PM and 11:40 PM? 463 What is 353 minutes before 8:46 AM? 2:53 AM What is 171 minutes after 3:06 PM? 5:57 PM How many minutes are there between 3:31 AM and 11:55 AM? 504 How many minutes are there between 7:30 PM and 5:50 AM? 620 What is 639 minutes before 6:33 PM? 7:54 AM How many minutes are there between 1:43 AM and 12:46 PM? 663 How many minutes are there between 2:48 PM and 11:47 PM? 539 How many minutes are there between 11:53 PM and 4:17 AM? 264 What is 670 minutes before 8:10 AM? 9:00 PM What is 286 minutes after 1:24 PM? 6:10 PM How many minutes are there between 3:39 AM and 8:49 AM? 310 How many minutes are there between 10:31 AM and 9:48 PM? 677 How many minutes are there between 11:14 PM and 10:39 AM? 685 What is 6 minutes after 2:15 AM? 2:21 AM What is 231 minutes after 1:14 PM? 5:05 PM What is 416 minutes after 10:37 PM? 5:33 AM What is 123 minutes after 5:34 AM? 7:37 AM What is 102 minutes before 7:37 AM? 5:55 AM What is 11 minutes before 9:11 AM? 9:00 AM How many minutes are there between 4:20 AM and 11:08 AM? 408 How many minutes are there between 9:43 AM and 1:26 PM? 223 What is 405 minutes before 7:47 PM? 1:02 PM How many minutes are there between 1:45 PM and 2:36 PM? 51 How many minutes are there between 4:08 PM and 1:03 AM? 535 What is 332 minutes after 3:44 AM? 9:16 AM How many minutes are there between 1:41 PM and 6:50 PM? 309 What is 27 minutes after 4:08 AM? 4:35 AM How many minutes are there between 7:23 AM and 4:59 PM? 576 What is 89 minutes before 3:49 AM? 2:20 AM How many minutes are there between 7:39 AM and 1:06 PM? 327 How many minutes are there between 12:50 PM and 5:27 PM? 277 What is 148 minutes after 11:39 AM? 2:07 PM How many minutes are there between 1:31 AM and 1:14 PM? 703 What is 60 minutes before 8:22 AM? 7:22 AM How many minutes are there between 6:20 AM and 3:10 PM? 530 How many minutes are there between 6:10 PM and 5:32 AM? 682 What is 560 minutes before 1:15 AM? 3:55 PM How many minutes are there between 3:44 AM and 5:25 AM? 101 How many minutes are there between 6:09 PM and 4:04 AM? 595 What is 448 minutes after 11:11 AM? 6:39 PM How many minutes are there between 12:11 AM and 9:29 AM? 558 How many minutes are there between 1:05 AM and 8:53 AM? 468 What is 610 minutes after 4:38 PM? 2:48 AM How many minutes are there between 1:04 AM and 2:07 AM? 63 What is 202 minutes before 2:02 AM? 10:40 PM What is 274 minutes after 4:59 PM? 9:33 PM What is 630 minutes before 8:12 PM? 9:42 AM What is 318 minutes before 11:23 AM? 6:05 AM How many minutes are there between 1:04 AM and 11:56 AM? 652 What is 538 minutes before 9:00 AM? 12:02 AM What is 467 minutes before 8:47 AM? 1:00 AM How many minutes are there between 6:59 AM and 4:54 PM? 595 What is 402 minutes before 9:23 AM? 2:41 AM What is 211 minutes before 5:47 PM? 2:16 PM What is 170 minutes before 1:58 PM? 11:08 AM How many minutes are there between 12:15 PM and 2:51 PM? 156 How many minutes are there between 11:20 AM and 10:17 PM? 657 How many minutes are there between 7:18 AM and 6:51 PM? 693 How many minutes are there between 3:28 PM and 10:22 PM? 414 What is 52 minutes before 1:55 PM? 1:03 PM How many minutes are there between 7:03 PM and 11:27 PM? 264 How many minutes are there between 9:32 PM and 12:11 AM? 159 How many minutes are there between 12:38 PM and 3:52 PM? 194 What is 582 minutes after 5:48 AM? 3:30 PM How many minutes are there between 10:29 PM and 9:03 AM? 634 What is 4 minutes after 7:37 PM? 7:41 PM How many minutes are there between 4:40 AM and 9:45 AM? 305 What is 611 minutes before 5:25 AM? 7:14 PM What is 207 minutes after 10:35 PM? 2:02 AM How many minutes are there between 4:05 PM and 3:33 AM? 688 What is 135 minutes after 5:57 AM? 8:12 AM What is 424 minutes after 3:28 PM? 10:32 PM How many minutes are there between 2:13 AM and 10:58 AM? 525 What is 89 minutes after 6:42 PM? 8:11 PM What is 154 minutes after 2:58 PM? 5:32 PM What is 240 minutes after 1:17 PM? 5:17 PM What is 19 minutes before 2:40 AM? 2:21 AM How many minutes are there between 9:49 PM and 2:52 AM? 303 How many minutes are there between 9:49 PM and 6:55 AM? 546 What is 410 minutes after 3:44 AM? 10:34 AM How many minutes are there between 11:30 AM and 10:37 PM? 667 How many minutes are there between 6:03 PM and 11:21 PM? 318 What i
{ "pile_set_name": "DM Mathematics" }
of 17? True Let y be 3 + 2*3/(-6). Suppose 0 = 4*l - 3*h - 144, -2*l + 108 = l + y*h. Is l a multiple of 18? True Suppose i = 3*k - 0*i - 8, -2*k - 3*i + 20 = 0. Let p be 5 + -15 + k/2. Is 3/(p/10 + 1) a multiple of 6? False Suppose 3*t - z - 3*z = -11, t = z - 2. Suppose 18 - 6 = t*g. Does 3 divide g? False Let q(d) = -2 - d + 2 + 3. Suppose 7*j - 2*j + 55 = 0. Does 10 divide q(j)? False Let o be (-6)/(-8) + 105/(-12). Let v = o - -23. Is v a multiple of 7? False Let c = 405 + -280. Is 22 a factor of c? False Let w = -1 - -3. Suppose -w*h = -4*h + 6, 3*m - 246 = 4*h. Suppose 5*q - m = -4*o, 3*q = 7*o - 2*o - 126. Is 12 a factor of o? True Let d(g) = -g**3 + 2*g**2 + 2*g - 2. Let y be d(2). Let r be 2 - -1 - y - 1. Suppose r = n + 2*n - 99. Does 12 divide n? False Suppose 5*n = 4*s + 1, 0*s + 4 = 5*n - s. Suppose n = p - 3. Does 2 divide (-5)/5 + -1 + p? True Let h(o) be the second derivative of o**5/20 + 2*o**4/3 + 4*o**3/3 + 4*o**2 + o. Is h(-6) a multiple of 9? False Let r = 60 + -29. Does 6 divide r? False Suppose 3*p + p - 88 = 0. Is 14/77 + 128/p a multiple of 4? False Let t be 2/5 - (-13)/5. Suppose -2*h + 24 = t*i - 0, h + 5*i - 12 = 0. Is ((-13)/4)/((-3)/h) a multiple of 6? False Let f(l) be the second derivative of l**5/20 - l**4/4 + l**3/6 + 3*l**2 - l. Let d be f(5). Let w = d - 25. Does 18 divide w? True Suppose r - g + 47 - 12 = 0, -5*g = -2*r - 55. Let j = 2 - r. Does 21 divide j? True Suppose 2*h - 25 = -2*u + 7*h, 21 = 3*u - 2*h. Let x be 0 + (-1 - -1)/(-3). Suppose u*q - 48 = -2*l, 3*q - 12 = -x. Is 7 a factor of l? True Does 20 divide 2/(-12)*2*-69? False Let y(n) = -n**3 + n**2 + n - 1. Let j = 6 + -1. Suppose 5*f - 2 = 3*s, 4*s = -f + j*s + 2. Is 6 a factor of y(f)? False Let m = -4 + 2. Does 16 divide 31 - 3/((-3)/m)? False Let m = 102 - 67. Is 35 a factor of m? True Let r(u) = -u**3 + 3*u**2 - u - 2. Let j be ((-30)/20)/((-3)/4). Let s be r(j). Suppose s = -5*m + 5*o + 170, 2*m = -m + o + 102. Is 17 a factor of m? True Suppose 5*q = -3*j + 1123, -3*q + 891 = q - 5*j. Does 41 divide q? False Let m be (-3)/(-21) - 3/21. Suppose 0*y = -y. Suppose y = 5*w - m*w - 65. Is 8 a factor of w? False Let i(x) = -x**2 + 28*x + 1. Is 7 a factor of i(27)? True Suppose 0*f + 2*f = 114. Does 19 divide f? True Let k(n) = n**3 - n**2 - 6*n + 2. Let y be k(3). Suppose 5*d - y*d = 219. Does 22 divide d? False Let t = -40 + 60. Is 10 a factor of t? True Suppose -2*p = 4*p - 156. Is p a multiple of 3? False Let s be 0 + 0 + 6 + -4. Suppose 0 = 5*b + 8*p - 4*p - 81, 31 = s*b + 3*p. Is b a multiple of 7? False Let s(n) = -n**3 - 6*n**2 - 4*n - 20. Does 3 divide s(-6)? False Let m = -28 + 12. Let v = 14 - m. Is v a multiple of 9? False Let x = 8 - 4. Suppose x = 5*y + 19. Does 12 divide 8*y*(-2 + 1)? True Suppose 3*m = -2*d + 1, -2*d = 2*m + 3 - 1. Does 15 divide m/(12/260) + 4? False Let s(j) = j + 6. Let o be s(-8). Let w(u) = -u. Let c be w(o). Suppose 0 = 2*n + 2*n + 2*b - 62, c*b + 91 = 5*n. Is n a multiple of 7? False Let h be 4 - 3/(9/6). Let b(i) = 15*i + 2. Is b(h) a multiple of 8? True Is 21 a factor of 10/4*(10 + 32)? True Let z be (-158)/6 - 2/3. Let x = -6 - -63. Let l = x + z. Is l a multiple of 15? True Does 16 divide 0 + (-480)/(-3 - 2)? True Let t be (1 + 2)/(-1 + 2). Suppose 0 = 3*r + q - 137, 0 = -t*r + 2*q + 2*q + 157. Suppose 0 = -4*l + 41 + r. Is l a multiple of 11? True Suppose -1 = -i + 3. Suppose 5*q = i*l + 580, 5*q - q = -2*l + 490. Suppose 3*o - 3*c = q, 4*c = -c + 25. Is o a multiple of 15? True Let o(q) = -q**2 + 5*q - 2. Let i be o(5). Does 2 divide 6/(-1)*2/i? True Let i = 19 - 13. Let r be (-280)/(-6) + 2/i. Suppose 4*v - 187 = -r. Does 14 divide v? False Suppose -88 = f + 3*f. Let a = f - -40. Does 9 divide a? True Let g(a) = -2*a**3 - 8*a**2 - 5*a + 5. Suppose b + b = -8, -16 = 4*o - b. Does 19 divide g(o)? False Let x(h) = -h**2 + 5*h - 1. Let u be x(4). Suppose 2*k + 0*k - w - 7 = 0, 5*k - 23 = -u*w. Is k even? True Let a be (-7)/1 + -2 + -1. Let k = a - -8. Is 9 a factor of 18*(-1 - 5/k)? True Is 830/35 + 2/7 a multiple of 8? True Is 2*((-1065)/10)/(-3) a multiple of 19? False Is 33045/105 - (-2)/7 a multiple of 15? True Suppose 4*b - 15 = 1. Suppose -b*r - 3*u = -12, -3*u = -4*r - 5*u + 12. Suppose 28 = r*o - o. Does 7 divide o? True Let h be 10 - 9 - (-4 - -2). Does 19 divide h + (33 - (4 - 1))? False Let q be (-29)/(-6) - 1/(-6). Suppose a = q*a - 16. Is 2 a factor of a/(-10) - 135/(-25)? False Let i be -1 - (0 + -1)*11. Let q = 38 - i. Suppose q = 2*d - d. Is 14 a factor of d? True Let b(p) = 2*p - 6. Suppose 0 = v + 8. Let l be 1/(23/v + 3). Is b(l) a multiple of 5? True Let t(s) = 36*s**2 + s - 3. Does 13 divide t(2)? True Suppose -5*z + 8 = -2. Let i(s) = 8*s**2 - s + 2. Let q be i(z). Suppose -4*y = -0*y - q. Does 8 divide y? True Let l(q) = 3*q + 2. Let w be l(3). Suppose -w = -5*a - 6. Suppose -x = a - 13. Is 11 a factor of x? False Suppose 6*t = 2*t - 5*r + 11, -4*t + 4*r = -20. Suppose t*z + 3*i = 207, -4*z + 258 = z + 3*i. Does 18 divide z? False Suppose -2*q = 5 - 13. Suppose 332 = q*n - b, 3*b = 4*n - 0*b - 340. Is 7 a factor of 3/9 - n/(-6)? True Suppose 3*g - g = 12. Let v(n) = n - 1. Let o be v(g). Suppose o*l + 11 - 66 = 0. Is l a multiple of 10? False Let r(n) = -n**3 - 5*n**2 + 9*n - 6. Let z be r(-7). Let m = 53 - z. Let l = -14 + m. Is 5 a factor of l? True Suppose 0 = -f + 2*f - 4. Suppose 4*o + 116 = f*x, 2*x = x + 5*o + 37. Is x a multiple of 13? False Suppose -4*w + 2 = -6. Suppose -46 = -0*f - w*f. Is f a multiple of 23? True Let b(z) = z**3 + 5*z**2 - 2*z - 2. Does 7 divide b(-5)? False Let x = -21 + 45. Suppose 2*k - 3*k + 57 = 3*r, 0 = r + 2*k - x. Does 9 divide r? True Suppose -4*i + 7*i = 30. Let u = i - -18. Is 14 a factor of u? True Suppose -394 = -5*j - 4*r + 454, -3*r = -6. Does 12 divide j? True Let d be (3 - 0)/(-3) - 4. Let n(i) = -i + 1. Let q be n(d). Suppose u = 2 + q. Does 8 divide u? True Let x(s) = -2*s**3 - 3*s**2 + 3*s + 2. Let t be x(-3). Suppose -q - 2*g - t = -4*q, 3*g = -2*q - 4. Is 2 a factor of q? True Let q = 16 - 11. Let g = q + -3. Suppose -g*p + 13 = -2*v - 3*v, 4*v - 4 = 0. Is 9 a factor of p? True Let q(f) = -2*f. Let r be q(-4). Let h be (-1 - 14/(-8))*r. Is (-3)/(1*(-3)/h) a multiple of 6? True Suppose 2*s + 3*s - 4*j - 166 = 0, 29 = s - 5*j. Does 19 divide s? False Let n = 2 - -1. Let u(q) = -n + 3 + 5 - 2*q. Does 9 divide u(-6)? False Let l = 1 + 6. Let h(s) = 5*s - 6. Let y be h(2). Suppose -126 = -l*n + y*n. Does 12 divide n? False Let g = -211 - -646. Does 11 divide (-2)/(-4) + g/10? True Let p(n) = 240*n + 111. Let w(i) = -15*i - 7. Let l(t) = -2*p(t) - 33*w(t). Let y(m) = -m - 1. Let a(c) = -4*l(c) - 36*y(c). Is 12 a factor of a(-1)? True Suppose -q + 8 = 2. Let r be (-10)/3*q/(-5). Let n = r + 2. Is 6 a factor of n? True Let n(m) = 3*m + 13*m**2 + m + 4*m**2 - 6*m. Does 16 divide n(2)? True Let w(d) = -d**3 + 4*d**2 - 2*d - 3. Let b be w(3). Suppose 0 = 2*j - b*j - 14. Let k = 12 - j. Is 2 a factor of k? False Let m(l) = l**3 + 7*l**2 - 3*l - 8. Suppose -q = 2, 3*n = n - 4*q - 30. Let t = n - -4. Is m(t) a multiple of 7? False Let y = -6 + 5. Let m = 2 - y. Let z = m + 0. Is z a multiple of 2? False Let f = -157 + 67. Let a = 126 + f. Is a a multiple of 16? False Let o(d) = 14*d + 3. Is o(5) a multiple of 20? False Suppose 2*j + 10 = 0, c + 2*j + 11 = 2*c. Let b be (c - -1)/((-2)/(-36)). Let z = b + -10. Does 13 divide z? True Let c(f) = 8*f - f**3 + 7*f**2 + 9 - 2 - 5. Let t be c(8). Suppose -t*v + 12 = -30. Is 11 a factor of v? False Suppose 2 = -2*z - 2*d, 2*z - 5*d + 0*d = 33. Suppose 2*o + 5*a = 13, 4*o + z*a - 9 - 11 = 0. Is 4 a factor of o? True Let l(p) = 6*p + 5*p - 3 - 3*p - p**2. Suppose 1 = b - 6. Is 2 a factor of l(b)? True Is (-299)/(-4) + (-2 - 36/(-16)) a multiple of 15? True Let w(v) = -5*v - 12. Let x be w(-10). Suppose m = -3*m - 5*b + 156, x = m + b. Is 11 a factor of m? False Is 26/8*66 + (-51)/34 a multiple of 39? False Let d = 364 + -176. Is d a multiple of 15? False Let l = -49 - -63. Is l even? True Suppose 3*t = p + 19, 0 = 5*p + 3*t + 2 + 3. Let r be (p/(-6))/((-8)/(-36)). Suppose 3*d - r*u - 9 = 0, 3*d - 4*u + 0*u = 5. Does 2 divide d? False Let f be 0*3/9 + 4. Suppose -f*a + 2*g + 10 = -9*a, -2*a - 3*g - 1
{ "pile_set_name": "DM Mathematics" }
p be (-1)/(1/1010)*(-160)/400. Let q be (p/(-5))/(20/(-150)*3). What is the greatest common factor of q and 2? 2 Let w = -216 + 220. Suppose d - 24 = -2*k, -w*d - 21 = -k - 0*k. What is the greatest common divisor of 26 and k? 13 Let z(a) = 30*a + 10 - 54*a + 28*a - 9*a**3 - 2*a**2. Let n be z(-2). What is the greatest common factor of n and 6? 6 Let k(q) = -2*q**2 - 66*q - 134. Let h be k(-28). What is the highest common factor of 2 and h? 2 Suppose 2*h + 0 = -4*f + 4, -2*h = f - 1. Let p be (-3)/((h - -1)/(-1)). Suppose -4*t = -8, -t + 15 = p*u - 17. Calculate the highest common factor of u and 10. 10 Let j(d) = 3*d**3 + 25*d**2 - 11*d + 52. Let f be j(-8). What is the highest common divisor of f and 153? 51 Let h(k) = 8*k**2 + k - 2. Let b be h(1). Let q(s) = -1038*s + 12589. Let g be q(12). What is the greatest common factor of g and b? 7 Let f be (-2748)/(-5) + ((-17)/85)/((-1)/2). What is the greatest common divisor of 286 and f? 22 Let b be (-114)/95*-5*8/(-6). Let h = b + -8. Let d = 17 + h. What is the highest common factor of d and 9? 1 Suppose -428*a = -427*a + 9. Let u be 8/(-14)*a/(234/637). Calculate the greatest common factor of u and 42. 14 Suppose 0 = -10*q - 586 + 4036. Suppose 0 = -n - z + 16, 3*n - 2*z + 77 = 8*n. Calculate the greatest common divisor of q and n. 15 Suppose -2*a - 1264 = -3*f, 11*f - 16*f - a = -2124. What is the greatest common factor of 8 and f? 8 Let t be -257 + -2 + 5 + 20/(-4). Let c = t + 172. Let f = c - -107. Calculate the greatest common divisor of f and 100. 20 Let c = -3306 + 3358. Calculate the highest common factor of c and 637. 13 Let a = 30470 - 30454. Calculate the greatest common divisor of 13168 and a. 16 Let a be 2/5 - (-28)/(-20). Let z be a + 1 - (4 + -17). Let x be (-10)/35 + (-2 - 1156/(-28)). What is the highest common divisor of x and z? 13 Suppose -3*o = 2*x - 44, 4 = -5*x + 9. Let y be 2/7*49/o. Calculate the greatest common factor of y and 37. 1 Let t = -16837 + 17393. Calculate the highest common factor of t and 16. 4 Suppose 10*h - 160 + 10 = 0. Let f(z) = z - 14. Let u be f(h). Let o be 4/(u/2 - 0). Calculate the greatest common factor of 20 and o. 4 Suppose -4*a = -544 - 64 - 96. Calculate the highest common divisor of a and 1078. 22 Let d = 32 - 34. Let r(m) = 40*m**2 + 16*m + 33. Let l be r(d). What is the greatest common divisor of l and 23? 23 Let g = 654 - 458. Suppose 3*q + 2*s - 68 = g, 84 = q + 2*s. Suppose 6 = -2*f - 0*f, 3*f - 31 = -4*t. What is the highest common factor of t and q? 10 Suppose 47*q + 5317 = 72574. Calculate the highest common factor of q and 27. 27 Suppose -r = -2*r + 5*y + 479, -3*r + 1537 = 5*y. Suppose -j - 5*j = -r. Calculate the highest common factor of j and 140. 28 Let k = -22 + 49. Let j = -26 + k. Let b(g) = 39*g - 3. Let z be b(j). Calculate the highest common factor of z and 9. 9 Suppose 4110 = 314*o - 308*o. Let x = o + -552. What is the greatest common factor of x and 35? 7 Let c = -3261 - -3906. What is the highest common divisor of c and 75? 15 Suppose -11*r - 6 = -50. Let d be (-189)/(-6) - (-2)/r. Let h be (d*(-1)/(-5))/((-6)/(-60)). What is the greatest common factor of h and 16? 16 Let k(r) = -19*r - 148. Let a be k(-8). Suppose 5*f - 204 + a = -5*p, 2*f = 6*p + 96. Suppose 2*w - 315 = -3*w. Calculate the highest common divisor of w and f. 21 Let d(h) = -437*h - 21. Let o be d(-1). Suppose l + 389 = 5*i, 4*i - o + 100 = -4*l. Calculate the highest common factor of 702 and i. 78 Let j be 22 + -17 - -5*588. What is the highest common factor of 95 and j? 95 Suppose 17*w = 16*w + 4*s + 105, -2 = 2*s. Calculate the highest common divisor of w and 505. 101 Let d = 25614 - 25592. Suppose -6*i = -i - 550. What is the greatest common divisor of i and d? 22 Let x(l) = l**2 + 5*l + 3. Let h be x(-2). Let y be ((-216)/15)/(h/20). Let u = 83 - 59. What is the greatest common factor of y and u? 24 Let r = 13989 - 13746. What is the highest common factor of r and 225? 9 Let a = -279 - -281. Let p be (10 + 2)/a - -30. Calculate the greatest common divisor of 360 and p. 36 Suppose -6*y + 10*y = -2*w + 12912, -5*w = 5*y - 32300. Calculate the greatest common factor of 101 and w. 101 Let m be 225/(-20) + 7 - 6/8. Let q be (-138)/4*((-10)/(-3))/m. Suppose -87 = -4*i - q. What is the greatest common factor of i and 16? 16 Suppose 73 - 1093 = 4*y - 3*x, -3*x = 2*y + 492. Let a = -137 - y. What is the greatest common divisor of a and 5? 5 Let v(b) = 50 + 10 - 4*b - 4 - 12*b + 4*b. Let t be v(4). Calculate the greatest common divisor of t and 72. 8 Let l(a) = -a**2 + 10*a - 13. Let o be l(10). Let u = o - -65. Let w = -186 - -264. Calculate the greatest common factor of u and w. 26 Let g(u) = 3*u**2 + 122*u - 486. Let z be g(-47). Calculate the greatest common factor of z and 518. 37 Suppose 3*b + x - 24 = -b, -25 = -b - 5*x. Suppose -3*p = p - 5*s - 54, -58 = -3*p - b*s. Calculate the greatest common divisor of 80 and p. 16 Let f(v) = -2*v**3 + 5*v**2 - 3*v + 3. Let z be f(-5). Suppose 0*x - 2*s + 390 = 2*x, -2*x - 3*s + z = 0. Calculate the highest common factor of 72 and x. 24 Suppose -2532*c = -2531*c - 99. Let i = 35 + -24. Calculate the highest common divisor of c and i. 11 Let u(s) = -s + 52. Let b be u(25). Let n be b + -1 + (4 - 5). Suppose 185 = w + 3*p, 3*w - 605 = -0*w + p. Calculate the highest common divisor of w and n. 25 Let u = 48183 + -23998. Calculate the highest common divisor of 35 and u. 35 Let s = -4 - -41. Let z(a) = a**3 + 3*a**2 + a - 2. Let t be z(-2). Suppose -c + 70 + 4 = t. What is the highest common factor of c and s? 37 Suppose -8*z + 64*z + 2268 - 11508 = 0. What is the highest common divisor of z and 1210? 55 Let j be ((-2)/2)/(1/(-14)). Let s = 670 - 127. Let a = s + -522. What is the greatest common divisor of a and j? 7 Let t = -216 - -114. Suppose 4*v - 1222 = 5*g, -4*g - v = -3*v + 974. Let q = t - g. Calculate the highest common divisor of 56 and q. 28 Suppose 6*v = v + 400. Let s(w) = w**2 + 5*w - 6. Let a be s(1). Suppose 2*p + t = 36, -3*p + 0*p + t + 44 = a. What is the highest common factor of p and v? 16 Let a(n) = -n**3 + 9*n**2 + 1. Let v be a(9). Let t be 4688/112 - v/(-7). Suppose 0 = 2*p - t + 38. What is the greatest common factor of p and 4? 2 Suppose -5*o - 123720 = -3*a, -5*a + 4*o + 206178 = 3*o. Calculate the highest common divisor of a and 15. 15 Let i be (1356/(-16))/(8 - 1554/192) - 2. What is the highest common factor of 22 and i? 22 Suppose -89 = -3*a - 5*x, -2*x - 2*x - 136 = -5*a. Suppose 74*i - 6995 - 26157 = 0. What is the highest common factor of a and i? 28 Let j be 2 - (-3 + 2 - 27). Suppose -17 = -z + 5*t, 7*z = 2*z + 5*t + 65. Let h be (4 - 68/z)*-12. What is the highest common divisor of j and h? 10 Let s be ((-84298)/(-14))/1 + (-35)/((-4165)/(-34)). Calculate the highest common divisor of s and 223. 223 Let c = -13279 - -13306. What is the highest common factor of 339 and c? 3 Suppose 396 = -4*k + 3*j - 6446, -4*k - 6834 = j. Let z = -829 - k. Suppose 15*w = 11*w + z. Calculate the greatest common divisor of 20 and w. 20 Suppose -124*a + 11733529 = 156*a - 9413751. Calculate the greatest common divisor of 22 and a. 22 Suppose 0*p + 3*i - 199 = -p, p = -5*i + 197. Suppose -623*h = -639*h - 800. Let x = p + h. Calculate the greatest common divisor of x and 19. 19 Let p be (-52340)/(-110) - (-8 - (-516)/66). Calculate the greatest common divisor of p and 1054. 34 Suppose 0 = 15*a + 64 - 94. Suppose -3*k - 490 = -g - a*k, -3*g = -4*k - 1470. What is the greatest common factor of g and 20? 10 Let a = 3949 - 3927. Let t(u) = -u**3 - 2*u**2 + 2. Let g be t(-2). What is the greatest common divisor of a and g? 2 Let c be (10/80 + 11794/(-16))*-3. Suppose d - 890 = 5*k, 3*d - 5*k - 499 = c. Calculate the highest common divisor of d and 91. 91 Suppose g + 4 - 6 = 0. Suppose -1 = -g*b - 3*u - 2, 0 = -3*b - 4*u. Suppose 128*s = 486*s - 11456. What is the highest common divisor of b and s? 4 Let i = -645 - -636. Let s(z) = z**3 + 10*z**2 - 3*z - 36. Let l be s(i). Suppose 3*b + 2*b = 40. What is the greatest common factor of b and l? 8 Let u = 19196 - 17610. Calculate the highest common factor of 221 and u. 13 Suppose 36*j - 2906 = -98. Calculate the highest common factor of j and 24. 6 Let
{ "pile_set_name": "DM Mathematics" }
+ t - 344050. List the prime factors of t. 7, 983 Let h(r) be the first derivative of r**3 - 39*r**2/2 + 167*r - 172. What are the prime factors of h(22)? 761 Let o be (3 + -2)/(52/(-224) + 9/24). Suppose -5*i = -3*w + 6, 0*w + 5*i - 36 = -3*w. Suppose w + 210 = o*v. What are the prime factors of v? 31 Let i(a) = 3*a**3 + 174*a**2 - 51*a - 56. List the prime factors of i(-58). 2, 1451 Let t(p) = 48*p**2 + 43*p - 147. List the prime factors of t(-9). 2, 3, 13, 43 Let y(d) = 267*d + 747. What are the prime factors of y(40)? 3, 13, 293 Suppose 4 = 3*a - 2*o, 8 = 15*a - 13*a - 4*o. Suppose -5*m - 2*z + 5498 = a, 2*m + 3*z = -0*z + 2197. What are the prime factors of m? 2, 5, 11 List the prime factors of (-4098991)/(-483) + (-15)/35 - 4/42. 2, 4243 Suppose 4914301 + 5686236 = 323*i. What are the prime factors of i? 37, 887 Let g be (-177)/(-24) - 6/16. Suppose 6132 = -g*r + 19*r. What are the prime factors of r? 7, 73 Let y = 100 + 45. Let d = y - 59. Suppose -59 = -j + d. List the prime factors of j. 5, 29 Let o(d) = d - 2. Let i(t) = 1. Let y(r) = -4*i(r) - o(r). Let f be y(-6). Suppose -4*s - s - f*z = -346, -3*s = 5*z - 218. What are the prime factors of s? 2, 3, 11 Suppose -b = 4*b. Suppose -s + 2 = -b*s. Suppose -n = -s*n + 22. List the prime factors of n. 2, 11 Let n(h) = 198*h**2 + 49*h + 40. What are the prime factors of n(-12)? 2, 6991 Let p(g) = g**3 - 7*g**2 + 12*g + 11. Let j be p(7). Let i = j - 66. Let k = 112 - i. List the prime factors of k. 83 Suppose -5255 = -3*k - 335. Suppose 92 - k = -12*i. List the prime factors of i. 3, 43 Let l(h) = 2*h**2 - 45*h - 2131. List the prime factors of l(-82). 43, 349 Let m be (-2)/(-5)*11325/30. Let j = 38 + m. What are the prime factors of j? 3, 7 List the prime factors of (-20)/1020 - 29709252/(-918). 32363 Suppose -883*a = -888*a + 5*h + 79855, -4*h = 28. What are the prime factors of a? 2, 13, 307 Suppose 4*o - o = -3*k + 186, 0 = -k - 1. Let r be o/(-5) - (-78)/130. List the prime factors of (-74*(-15)/(-18))/(4/r). 5, 37 Suppose -1825 - 10783 = -4*n. Suppose 5*y - 3*o = n, -y + 3*o + 691 - 63 = 0. What are the prime factors of y? 631 Let f(z) be the third derivative of z**5/20 - 10*z**3/3 - z**2 - 16*z. List the prime factors of f(9). 223 Suppose -2*r + 249 = -3*j, -5*r + 2*j + 0*j + 628 = 0. Let k = r + 106. List the prime factors of k. 2, 29 Let l(c) = 66*c**2 - 5*c - 8. Let j be l(4). Let k = j - 661. What are the prime factors of k? 367 Let i(a) = -a**3 + 53*a**2 - 545*a + 12. List the prime factors of i(38). 2, 13, 37 Let r(g) = 21*g**2 + 20*g + 46. List the prime factors of r(30). 2, 29, 337 Suppose -5*x = -y - 12, -4*y = 11 - 3. Suppose -x*v + 36 = 24. What are the prime factors of v/(-36) - 2270/(-12)? 3, 7 Let i(p) = -p**2 - 1. Let v(l) = 3*l**2 - 7*l + 12. Let g(b) = -6*i(b) - v(b). Suppose 38 - 10 = -4*u. List the prime factors of g(u). 2, 23 Let l(s) = -s**2 - 8*s - 27. Let n(v) = 3*v**2 + 25*v + 82. Let r(g) = -17*l(g) - 6*n(g). List the prime factors of r(-6). 3, 5 Suppose 4*d - 52400 = -22*q + 18*q, -26212 = -2*d - 5*q. List the prime factors of d. 2, 1637 Let w(a) = a**2 + 3*a - 29. Let u be (-25 + 27)*(-39)/(-2). Suppose u = 7*n - 38. List the prime factors of w(n). 5 Let y be (10/(-15))/(2/(-9)). Suppose -3*a = -8*a - 5*t + 1810, 0 = a + y*t - 354. List the prime factors of a. 2, 3, 61 Suppose 0 = -104*b + 93*b. Suppose -3*o + 27*v - 23*v = -1534, -4*o + v + 2028 = b. What are the prime factors of o? 2, 11, 23 Suppose -31*h + 237066 = 12936. List the prime factors of h. 2, 3, 5, 241 Let f(x) = -x**2 + 13*x + 56. Let v be f(16). Suppose 1392 = v*a - 280. What are the prime factors of a? 11, 19 Suppose 0 = -3*t + 4*k - 265, 2*k + 109 = -t + 4. Let s be (-4 - 315/(-4))*4. Let x = t + s. What are the prime factors of x? 2, 3, 17 Let i(g) = -g**3 - g**2 + g - 1. Let r(j) = -j**2 - 12*j - 10. Let b be r(-11). Let n be i(b). What are the prime factors of (4 + 555/(-10))*n? 103 Suppose r = q - 26900, 110*r + 28 = 114*r. What are the prime factors of q? 3, 8969 Let o = 25 - -87. Suppose -8*x = -o - 136. What are the prime factors of x? 31 Let w(p) = 26*p**2 - 32*p - 83. What are the prime factors of w(-12)? 5, 809 Suppose 13*f - 9836 - 85779 = 0. What are the prime factors of f? 5, 1471 Let y(a) = -1166*a + 12393. List the prime factors of y(-20). 71, 503 Let x(y) be the second derivative of -2*y**3/3 - 157*y**2/2 - 33*y. Let s(v) = v + 52. Let z(w) = 7*s(w) + 2*x(w). What are the prime factors of z(13)? 37 Suppose -22 = 4*i - 30. Let o(g) = 2*g**3 - 5*g**2 + 10*g - 2. Let b be o(i). Suppose 3480 = b*y - 160. What are the prime factors of y? 2, 5, 13 Suppose 7*y - 2*y - 10155 = -5*k, -3*k + 8122 = 4*y. List the prime factors of y. 2029 Let n = 53 + 60. Let a = 53 - n. Let m = 32 - a. What are the prime factors of m? 2, 23 Let v be (4/(1 - 15/17))/(-2). Let b(k) = -k**2 - 18*k - 11. What are the prime factors of b(v)? 2, 3 Let z(i) = 9*i**2 - 74*i - 278. List the prime factors of z(-25). 3, 2399 Let f(y) be the second derivative of y**4/12 + 5*y**3/6 - 15*y**2/2 - y. Suppose -28 = 4*z - 6*z + 4*u, -4*u = -3*z + 38. List the prime factors of f(z). 3, 5 Let z = 34 + -11. Suppose 8*d - z*d + 12345 = 0. What are the prime factors of d? 823 What are the prime factors of ((-9)/(-6))/((-63)/(-15792))? 2, 47 Let y(q) = 5*q + 3454. Let c be y(0). Suppose 5*p + 2*o = c, o - 5*o + 3458 = 5*p. Suppose 0*v + 10*v = p. List the prime factors of v. 3, 23 Let x(i) = -i**2 - 15*i - 21. Let t be x(-17). Let f = t + 55. What are the prime factors of (18/12)/(2/8 - f)? 2, 3 Suppose 4*s + 3*r - 24 = 0, 8*r - 12 = -2*s + 4*r. Suppose 2*w - s*p - 1557 = -3*p, -p + 3107 = 4*w. List the prime factors of w. 3, 7, 37 Let i = 53 + -127. Let v = -66 - i. Suppose 2*l - v*l = -480. What are the prime factors of l? 2, 5 Suppose z - 2123 = -5*c, 0 = 4*z - 17*c + 18*c - 8530. List the prime factors of z. 3, 79 Suppose -12*x + 5*t - 43002 = -21*x, 0 = -2*x + t + 9556. What are the prime factors of x? 2, 2389 Let z = -1376 - -3961. Suppose z + 5743 = 24*n. List the prime factors of n. 347 Suppose -f = 2*a + 195, -5*a - 490 = -25*f + 30*f. Let x = -207 - -342. Let o = a + x. What are the prime factors of o? 2, 19 Let i(t) = -222*t + 848. What are the prime factors of i(-63)? 2, 7417 Let d = 254 - 93. What are the prime factors of d? 7, 23 List the prime factors of (48078/(-135)*6)/((-2)/10). 2, 2671 Let i(t) = 2*t**2 + 23*t + 67. Let z be i(-15). Suppose 9*c - 10*c + z = 0. What are the prime factors of c? 2, 43 Let n = -832 + 7629. What are the prime factors of n? 7, 971 Suppose 2*f - d - 7686 = 8948, -3*f = 4*d - 24940. What are the prime factors of f? 2, 3, 7, 11 Let c = -113 + 191. List the prime factors of c. 2, 3, 13 Let g = 18850 + 2557. What are the prime factors of g? 21407 Let j = 6 + 34. Suppose -35*t + j*t + 2070 = 0. Let d = 584 + t. What are the prime factors of d? 2, 5, 17 Let y = 275 - 307. Let f = y - -677. What are the prime factors of f? 3, 5, 43 Let c = 9350 - 69. What are the prime factors of c? 9281 Let c(u) be the first derivative of 66*u**2 - u - 1. Let w = 772 + -771. What are the prime factors of c(w)? 131 Suppose 4*o + 0*o - 52 = 0. Suppose -78 = -5*q - o. Suppose j - q = 4*f, -j - 2*j - 4*f = -87. List the prime factors of j. 5 Suppose -3*k - 556 = k + 2*c, -2*k - 274 = 2*c. Suppose 0 = -5*y - 2*z - 105, -64*z + 28 = -2*y - 62*z. Let p = y - k. What are the prime factors of p? 2, 61 Let w be (-27)/6*(-8)/12. Suppose 2*k + 11 = -w. List the prime factors of -9*1/(1/k). 3, 7 Let y(z) = z**3 + 27*z**2 - 64*z + 95. Let g be y(-29). Let l = 1124 - g. List the prime factors of l. 3, 5, 19 Let b(s) = -70 + 207 - 96 + 177*s - 72. List the prime factors of b(5). 2, 7, 61 Let x(v) = 33*v**2 + 9*v + 17 + 2 - 32*v**2. Let g be x(-6). What are the prime factors of (3183/12 - g) + 4/(-16)? 2, 3, 11 What are the prime factors of 77658/(-28)*-16 + 11? 7, 17, 373 Let h = 895 - 900. Let y(g) = -78*g - 154. List the prime factors of y(h). 2, 59 Let g(l) = -8*l - 25. Let r be g(-8). Let y = -7 - -26. Let n = y + r. What are the prime factors of n? 2, 29 Let i be ((-25)/10)/(25/(-20)). Suppose -o + 3*h + 436 = 6*h, i*o - 897 = -h. What are the prime factors of o? 11, 41 Suppose 3*p - 2648 = -p + 2*v, -2*v
{ "pile_set_name": "DM Mathematics" }
e 6 = 3*i + 4*d, -5*i + d = 19 - 6 for i. -2 Solve 3*s + 3*h = -3, 0 = -0*s - s + 5*h + 29 for s. 4 Solve 5*w + 8 - 30 = -2*a, 0 = 3*a - w + 1 for a. 1 Solve -6 = s - 5*l - 35, 0 = 2*s + 5*l + 17 for s. 4 Solve -4*i - 2*n - 9 = n, -2*n - 6 = 0 for i. 0 Solve 0*x - 10 = 2*x + 2*k, 4*k = -2*x - 16 for x. -2 Solve 76 = 3*k + r + 69, 2*k - 3*r = -10 for k. 1 Solve -10*f = -v - 7*f - 9, 11*v + 2*f - 41 = 0 for v. 3 Solve 4*d = -6*x + 7*x + 2, -d = -5*x - 10 for x. -2 Solve -5*s - 3*w = 23, 4*s + 17 = s - 5*w for s. -4 Solve 2*q - z = q - 2, 2*q = -4*z + 2 for q. -1 Solve 0*h = 3*l + h + 15, 0 = -2*h for l. -5 Solve 19 = 4*g + 4*n - 9, 20 = 5*n for g. 3 Solve 4*l + 32 = -4*m, -3*m = -0*m + l + 16 for m. -4 Solve -9*u + 60 = 3*y, 3*u = -4*y + 2*u + 25 for y. 5 Solve 0 = -2*s - 5*u - 5, 2148*s - 7 = 2146*s - u for s. 5 Solve -4*k - 23 = -0*f + 3*f, 5*f - 2*k = 5 for f. -1 Solve 2*t - 3*g + 5 = 0, 10*g - 9 = t + 15*g for t. -4 Solve 4*u - 4 = 4*m, -3*u - 28 = -5*m - 35 for u. -1 Solve 5*j - 2*z = -4*z + 1, -4 = -5*j - 3*z for j. -1 Solve 3 = -3*w + 11*v - 15*v, 2*w = -3*v - 1 for w. -5 Solve 2*w - 10*x + 8 = -13*x, -5*w + 14 = -x for w. 2 Solve 3*f + 19 = 5*d - 0*f, -3*f + 1 = -d for d. 5 Solve 10 = 4*r - 5*m, -2*r - 6 = 10*m - 7*m for r. 0 Solve w = -4*p + 3*w + 4, 2*w = 4 for p. 2 Solve -f - 4*o = 0, 4*f + 4*o - 2*o = 0 for f. 0 Solve -4*k + 3 = d, k - 2 = -3*k - 2*d for k. 1 Solve 3*y + 2*p - 19 = 0, y - 24*p = -22*p - 7 for y. 3 Solve 4*n = 2*p - 4, -4*p - 2 - 2 = -2*n for n. -2 Solve -h + 13 = 4*x - 6*x, 5*x + 25 = h for h. 5 Solve -y + 4*l + 17 = 0, 2*l = 4*y + 6*l + 12 for y. 1 Solve -p - l - 72 + 62 = 0, 2*p = -l - 15 for p. -5 Solve -4*k + 17 = -j - 0*k, 2*k = -j + 1 for j. -5 Solve -r - 199*f + 194*f + 16 = 0, -3*r = -4*f + 28 for r. -4 Solve 3*s = -v + 7 - 18, 13 = v - 5*s for v. -2 Solve -3*m = -6*n + 15, 3*n + 3 = 5*m + 7 for m. 1 Solve -4*j = 4, -v - 28*j + 26*j - 3 = 0 for v. -1 Solve -3*j - 3*n - 25 = -5*j, 3*n = 3*j - 30 for j. 5 Solve -o + 2*j - 7 = -1, -2*o - 13 = -5*j for o. -4 Solve 0*i - i - 11 = -5*l, -6 = -2*l for i. 4 Solve 5 = -x - 5*a, -3*x - 7*a + 2*a - 15 = 0 for x. -5 Solve 0*f = 5*n + 2*f - 33, 0 = -4*n + 5*f for n. 5 Solve -t - 2*t + 13 = 4*y, -3*y = 5*t - 18 for t. 3 Solve 5 = -5*x + u, -11 - 4 = -4*x - 3*u for x. 0 Solve 0 = -w + 5*c - 20, 10 = 4*w - 3*w + 5*c for w. -5 Solve o + 7 = -6*t + 2*t, 2*o - 3*t = 8 for o. 1 Solve 14 = 3*c - 1, 3 = -2*u + 3*c for u. 6 Solve 27*r - 23*r = 5*v + 13, v - 5*r + 11 = 0 for v. -1 Solve 5*s - 6 = j + 10, s + 2 = -5*j for j. -1 Solve -3*f + 13 + 10 = -4*k, 3*k - 4 = -2*f for k. -2 Solve -4*x - 4 = -4*l, -5*l - 4*x = x + 5 for l. 0 Solve 2*t + 0*m + 5 = m, 0 = 3*t + 3*m + 30 for t. -5 Solve 0 = 5*a - 3*a + q + 7, 4*a = 2*q + 6 for a. -1 Solve -5*w + 0*y = 5*y, -5*w + 18 = -4*y for w. 2 Solve -7 = 5*n + 3*g, n + 26 - 19 = 5*g for n. -2 Solve -7*p = -6*p - b - 4, 2*p - 5*b - 14 = 0 for p. 2 Solve -5*c = 5, -6*m + 5*c = -9*m - 2 for m. 1 Solve 3*p - 9 = -149*i + 147*i, 8 = i + 5*p for i. 3 Solve -o = -4*f + 20, 0*o = 3*o for f. 5 Solve -4*c = 4*i + c - 5, -3 = -3*i - 4*c for i. 5 Solve -3*o - 4*x + 20 = 0, 3*o - 11*x - 1 = -11 for o. 4 Solve -4*s + 3*a = -2 - 5, 2*a = 6 for s. 4 Solve -w + 1 = 0, -5*b - 11 = 4*w - 25 for b. 2 Solve 7*t + 3*w = 3*t + 2, 0 = -4*t - 4*w for t. 2 Solve 0 = -5*u + 25, 4*t = -0*u + 3*u - 11 for t. 1 Solve 19 = q + 4*i, 3*q + 17*i - 29 = 12*i for q. 3 Solve -2*m - 2 = 4, 0 = i + 4*m + 8 for i. 4 Solve 6*w + 5*r = -28, 2*w = -8*r + 10*r - 2 for w. -3 Solve 4*v + 3*u + 1 = 0, -4*v + v - 2*u - 1 = 0 for v. -1 Solve -2*a + 14 = -2*o, 3*o = -4*a + a + 3 for a. 4 Solve -5*q - 13 = -0*q - 2*n, -4 = 4*n for q. -3 Solve 5*x - 4 - 1 = -2*h, 4*x = 3*h - 19 for x. -1 Solve -3*q + 15 = 3*p, -q + 4*p + 2 = -3 for q. 5 Solve -4*y = 3*l - 11, 2*l - 21 = -3*y + 4*l for y. 5 Solve -12*n - 4*u + 16 = -17*n, -2*n - 4 = -u for n. 0 Solve 12 - 8 = b + 2*u, -3*b + 5*u = -12 for b. 4 Solve -x + 151 - 149 = g, 0 = 3*x - 5*g + 42 for x. -4 Solve 3*u + 34 = -5*j, 0 = -j - 4*u + u - 14 for j. -5 Solve 0 = -2*v + 5*x + 10, 14*v = 11*v + 2*x + 4 for v. 0 Solve -5*m - 1 = -x + 3*x, -4*x = -2*m + 14 for x. -3 Solve -k - 9 = -2*j + 4*k, -k = 4*j - 7 for j. 2 Solve 0 = -q - v - 3, -8*v = -3*q - 4*v + 5 for q. -1 Solve -w = 5*p - 17, 847*p - 844*p + 2*w - 6 = 0 for p. 4 Solve i - 4*r + 13 = 0, -47*r = -5*i - 48*r - 2 for i. -1 Solve 1 - 4 = -w - i, -5*w = 3*i - 13 for w. 2 Solve 0*u = 2*c - 4*u, 3*c + u = 0 for c. 0 Solve -2*z + 5*v - 10 = 0, -11*z + 9*z = 4*v - 8 for z. 0 Solve -10*d - 11 = -n - 6*d, -2*n - 14 = d for n. -5 Solve 0 = -c - 2*k - 13, 94 = -2*c - 2*k + 78 for c. -3 Solve -3*m + 7 - 1 = 3*r, -4*m + 12 = 5*r for m. -2 Solve -9*g = -4*g - 2*o + 5, -3*g = -5*o + 22 for g. 1 Solve 3*z = -5*p - 11, -5*z - 4*p - 3 - 11 = 0 for z. -2 Solve -5*w + 22 = 2*s - w, -4*s + 8 = -4*w for s. 5 Solve -7*k + 20 = -12*k, 0 = 2*x + 2*k + 16 for x. -4 Solve -2 = 2*i + 4*j, 5*i - j - 2*j - 34 = 0 for i. 5 Solve 0 = -4*x - 5*v + 5, 8*v - 13*v + 40 = -3*x for x. -5 Solve -21*q - 5*k = -22*q - 7, 0 = -4*k + 4 for q. -2 Solve 3*u + 2 + 8 = 2*w, 0 = 2*u + w + 9 for u. -4 Solve 3*o - 28 = -2*p - 47, -2*o - 16 = 2*p for o. -3 Solve -12*r + 10*r = -2, -14 = -3*i + r for i. 5 Solve 4*j + 2*u + 21 = -j, 27 = -5*j + u for j. -5 Solve -73 = 2*i + 3*d - 46, 4*i = 3*d + 27 for i. 0 Solve 3*u - c + 3 = 0, 196*c - 197*c - 3 = 0 for u. -2 Solve -5*a + 27 = 3*x, -4*a - 2*x = 2*x - 28 for a. 3 Solve -2*b + 3 = -5*r, 3*r - 2*b - 52 = -57 for r. 1 Solve -k = -2*f + 2, -5*k + 2*k = -3*f + 9 for f. -1 Solve 5 = -3*p - 4, -9 = 3*w + 3*p for w. 0 Solve 2*n + 4*v + 20 = 0, -3*n - 10*v - 9 = -11*v for n. -4 Solve 4*u - 4*m - 16 = 20, 3*u + 1 = -4*m for u. 5 Solve 3*r - 22 + 19 = q, 2*q - 16 = -5*r for q. 3 Solve -3*d + 8 = -2*y, 2*y + 2 = -d - 6 for y. -4 Solve 27*g - 3*n = 24*g + 6, -20 = 5*g + n for g. -3 Solve -4*n - 2*a - 4 - 2 = 0, a = 2*n + 1 for n. -1 Solve 3*v + 12 = -0*v, 2 = 2*j - 2*v for j. -3 Solve -3*a - 8 = 3*q + a, 8 = 3*q - 4*a for q. 0 Solve -i = -5*j + 27, -5*i + 22 = 3*j + 17 for j. 5 Solve -5*g = -5*z + 10, g - 2*z + 5*z = 6 for g. 0 Solve 5*f = 5*c - 10, -3 + 4 = c for f. -1 Solve -3*k - 2*k = -4*l - 7, 2*k - 5*l = -4 for k. 3 Solve -t - 4 = -2*z - 17, 3*z = -3*t + 3 for t. 5 Solve -3*b = -0*b + 12, -5*b - 12 = -4*p for p. -2 Solve -2*r - 5*j = 13, -2*r - 3 = 2*j + 7 for r. -4 Solve -w - u + 9 = 0, 2*w - 6*u + 10 = -u for w. 5 Solve -2*g = 2*t - 0*g + 10, 4*g + 19 = -3*t for t. -1 Solve 4*a - 3*a = -4*y + 11, a = -5*y + 13 for y. 2 Solve -5*y = 2*b + 4, 3*b + 2*b - 25 = 5*y for b. 3 Solve -5*v + 5*f = 3*f + 25, 0 = v + 3*f + 5 for v. -5 Solve 3*l = 3*k - 6, 2*l + 5*k = l + 4 for l. -1 Solve 4 = -4*a - 4*f, -1 + 2 = -3*a - 5*f for a. -2 Solve 15 = -4*p + v + 11, 12 = -2*p + 3*v for p. 0 Solve -4*m - 11 = 5*i, -3*m - 2*i - 9 - 1 = 0 for m. -4 Solve -4*x + 4*j + 12 = x, 8 = 3*x - 2*j for x. 4 Solve 0 = a + g + 4*g + 17, -2*g = -3*a + 17 for a. 3 Solve 5*a + 2*d + 2*d = 5, 5*d = -a + 22 for a. -3 Solve 0 = -2*p - 4, -2*p + p = 3*d + 11 for d. -3 Solve -t - 3*t = 5*q + 15, 0 = -4*t - 3*q - 17 for t. -5 Solve 2*g = 3*v - 2 + 6, 3*v = 5*g - 1 for v. -2 Solve -5*k = -2*v - 2*v - 8, 4*k = 16 for v. 3 Solve 0 = -4*u + d + 10, 74*d - 78*d = u + 6 for u. 2 Solve -x + 1 = 3*a, 4*x + 17 = 3*a + 6 for x. -2 Solve 4*b + 14 = 5*l, -3*b = -5*b - 5*l + 8 for b. -1 Solve x + 4*l = 9, l = -4*x + 6*x + 9 for x. -3 Solve -t - 6 = 5*v, -4*v - 3 = 2*t + 3 for t. -1 Solve 17 = -5*t + 4*h, -2*t = t + 2*h + 19 for t. -5 Solve -3*d - 20 = 5*o, 0 = -4*d + 5*d + 4*o + 16 for d. 0 Solve 0 = 4*f - 18 - 2, 4*j = f - 17 for j. -3 Solve -5*q + 7*q - 3*t - 13 = 0, -2*t = 3*q + 13 for q. -1 Solve 2*p - 15 = 5*p, -2*w = -p + 1 for w. -3 Solve 3*k - 3 = 0, 0 = 2*j - 3*k + 7 - 0 for j. -2 Solve h + 45 = -u + 41, 0 = -h - 3 for u. -1 Solve 5*z - 4*t + 32 + 0 = 0, -z = t + 1 for z. -4 Solve -5 = -i, -3*j - 6 + 14 = i for j. 1 Solve -p - 10 = -3*a, 3*a + 4*p - 1 = 4 for a. 3 Solve -5*f - 4*o = -18, -4*f + o = f - 8 for f. 2 Solve f - 14 = 3*m, -3*f - 184 = -5*m - 210 for f. 2 Solve 0 = 3*x - 4*p + 1 - 12, 4*p = 2*x - 10 for x. 1 Solve -3*a = -0*a + 3*o, -5*o = 3*a for a. 0 Solve -36*o + 31*o = 5*z + 25, -4*o - 15 = 3*z for z. -5 Solve 3*u - 2*u -
{ "pile_set_name": "DM Mathematics" }
*z for z. -5 Let h(r) = 2*r**2 - 95*r - 218. Let g be h(50). Solve -9*p = 5 - g for p. 3 Suppose p + 2*p - 6 = 0. Let h = -2436 + 2438. Solve -h*s = p + 4 for s. -3 Let z(o) = o**2 - 11*o - 24. Let n be z(13). Let t be -1 + (-9)/(-6)*2. Suppose -f = q + n, -f + t = 5*q - 4. Solve q*r - 10 = 7*r for r. -2 Let f(l) = l**2 + 31*l - 59. Let i be f(-33). Suppose i*b + 0*b = -4*b. Suppose -x = -3*x + 6. Solve -x*m - 6 - 3 = b for m. -3 Let s = 2 - -1. Let j(n) = -n**3 - 9*n**2 - 6*n - 22. Let o be j(-9). Let c = o - 23. Solve s*i = c + 6 for i. 5 Let u be -3 - (1 + -5 + 3). Let f(o) = 4*o - 1. Let k be f(u). Let n be (4/2)/(-2)*k. Solve n = 2*r + r for r. 3 Let b = 15 + -13. Let o(i) = -9*i**2 + 2*i - 5. Let f be o(b). Let v = f + 37. Solve -5*q + v + 5 = 0 for q. 1 Let d be (-1)/15*-54*(-10)/(-6). Let v be -2 + 1 + 0 - -5. Solve 0 = -2*p + v + d for p. 5 Let h = 472 + -464. Solve 10*j = 8*j + h for j. 4 Let d = -306 + 308. Solve -3*w - 2 = -d*w for w. -2 Suppose 5*y + 0*u - 11 = -2*u, 0 = 3*y - 3*u - 15. Suppose 4*k - 11 = -y*m, -2*k - 3*k + 3*m = -34. Solve k*o = -0*o + 10 for o. 2 Let j(m) = -2 - 29*m**2 + 23 + 30*m**2 + 19*m - 1. Let q be j(-18). Solve -q*i = -3*i + 5 for i. 5 Suppose d + 2*d = a + 457, 156 = d - 4*a. Let w = d - 149. Solve -8*m = -w*m - 25 for m. 5 Suppose 4*i + 5*o - 39 = 0, 5*i - 8*o + 3*o = 15. Solve 2*r = -0*r + i for r. 3 Suppose 0 = 5*v - 5 - 10. Suppose -b + 7 = -q, v*b = -q - b + 18. Let g be (3 - (-6)/q)/2. Solve g*t = -2*t for t. 0 Suppose -1233 = -29*y + 101. Solve 0 = -13*c + y + 19 for c. 5 Let v be ((-352)/33 + 8)*(-3)/2. Let n be 8/10*(-5)/(-2). Solve -v = n*f - f for f. -4 Let q = -7 + 28. Let p be (-8)/(-28) + (-6)/q. Suppose 4*f + b + p = 2, 3*f + 3 = -3*b. Solve 5 = n + f for n. 4 Let m = 8 - 8. Suppose 4*w + m = 16. Solve 2*v - w - 2 = 0 for v. 3 Suppose o + 3*o = 5*q + 34, 2*q + 2*o = -28. Let z = q - -10. Suppose z = -0*k + 2*k - 6. Solve 0*m = -k*m + 6 for m. 2 Let s = -12 - -14. Solve o + 9 = -s*o for o. -3 Let n be ((-4)/(-3))/(4/15). Let t be 24/(-20)*n/(-2). Solve 4*x + t = -5 for x. -2 Suppose 22*b = 25*b - 18. Let u(y) = y**3 + 6*y**2 + 4*y + 7. Suppose 3*i + 27 = -3*o, -i + 0 - 13 = 2*o. Let r be u(i). Solve -2*q + r = -b*q for q. -3 Suppose -5*q + 7*q - 6 = 0. Let j = 0 + -6. Let u(f) = -f**2 - 6*f + 1. Let h be u(j). Solve q - h = -b for b. -2 Suppose 3*p - 2*h - 48 = -5*h, -61 = -4*p - h. Solve -8*m = 7 - p for m. 1 Let m = -4 + 4. Let q(t) = 7*t - 14. Let d(h) = 11*h - 21. Let p(i) = 5*d(i) - 8*q(i). Let g be p(5). Solve -5*b + g*b = m for b. 0 Suppose 0 = -v + 3*d + 12, 4*v - d - 3 = 1. Solve v = -5*o + 13 - 38 for o. -5 Let u(p) = -8*p. Let z be u(-1). Solve 5*o + z = 3*o for o. -4 Suppose -8*a = 5*y - 11*a - 29, -5*a = -5*y + 35. Solve 4 = -0*o - y*o for o. -1 Let z(x) = 151*x - 897. Let s be z(6). Solve -3 = s*l - 39 for l. 4 Suppose -12*m + 4 = -44. Solve -m*w = -13 + 1 for w. 3 Let n be (-20)/(-50) - 8/(-20)*24. Solve n*g = 14 + 16 for g. 3 Let p(f) = 45*f - 131. Let c be p(3). Solve -h - c = -9 for h. 5 Suppose 11*s - 11 = 143. Let a be (-2)/(-39)*192 + s/91. Solve -4*f - f + a = 0 for f. 2 Let m(j) = 7*j + 28. Let h be m(-4). Solve h*f = f - 3 for f. 3 Suppose 2 = j - 1. Suppose -j*r - 4*f = -0*f - 3, 5*r - 22 = -f. Solve 6 + 4 = r*z for z. 2 Let b = 216 + -216. Solve -18*o + 18 = -b*o for o. 1 Let k = 802 + -798. Solve 2 = k*v + 14 for v. -3 Let r(y) = -y**3 + 2*y**2 + 3*y - 3. Let a be r(2). Suppose -10 = 3*l - 4. Let o(b) = -3*b - 3. Let n be o(l). Solve -a*v - n = -6*v for v. 1 Let t(u) = 23*u**3 - 2*u**2 - 2*u + 3. Let a be t(1). Solve -a*r = -18*r - 12 for r. 3 Let r be (-66)/(-55)*20/((-4)/(-1)). Solve -13*z = -7*z + r for z. -1 Let i = -11 + 13. Solve 0 = -7*x - i*x for x. 0 Let x = 66 + -62. Suppose -x*w + 12 = -w. Solve 3*y = 2*y - w for y. -4 Let m be (-8 - -2)*1/(-2). Suppose m*h = 8 + 1. Suppose h*b - 3*k = 45, 5*b - k = -2*k + 105. Solve 0 = -9*u + 4*u - b for u. -4 Suppose -8 - 17 = 3*d - 4*q, -3*d = -q + 13. Let c(y) = -3*y - 5. Let h be c(d). Suppose -3*v = 4*p - 8, -2*p + h*p - 14 = -4*v. Solve 5*z = z + v for z. 1 Let z(l) be the third derivative of -l**4/24 - l**3 + 9*l**2. Let k be z(-6). Let y be 3 - 3 - (k + -8). Solve 3*u + y = 5*u for u. 4 Let v be ((-20)/(-12) + -2)*-6. Suppose 0 = 2*w + w + 3*w. Solve w = 2*z + 10 - v for z. -4 Let h be 4 + (3 - (-11 + (12 - 6))). Solve -28*j + h = -24*j for j. 3 Suppose -22*b - 29*b + 663 = 0. Solve -6 = -b*r + 15*r for r. -3 Let w(b) = b - 2. Let u be w(8). Let z be 9/15 - u/(-15). Suppose -p - 5*c + 25 = 0, p + z = -2*c + 11. Solve 2*d - d - 1 = p for d. 1 Suppose -13*v - 49 = -14*v. Let b be (-7)/v - (-15)/7. Suppose b*u + 8 = -0*l + 2*l, -4*u = -2*l + 8. Solve 0 = 3*o + 1 - l for o. 1 Suppose -2*c = -4*c + 32. Suppose -5*y = -0*b - 2*b - 8, -3*y + 4*b = -c. Solve 3*t = -y*t + 15 for t. 5 Let y = -26 - -28. Solve 0 = -z - 0 + y for z. 2 Let f = 906 + -872. Solve -3*w - f = -19 for w. -5 Let w be 1/(3/(22 - 1)). Let f = w - 7. Suppose j + 3*j = 4*h, 3*j - 9 = f. Solve -7 = -h*m + 5 for m. 4 Let x = 159 - 156. Solve 15 = x*j + 18 for j. -1 Suppose -y + 2 + 1 = 0. Suppose -y*m = m. Suppose -2*v - 2*t + 14 = -m, 31 = 3*v + 5*t. Solve 4*r + v + 2 = 0 for r. -1 Let o(q) = -5*q + 89. Let t be o(16). Solve -t = y + 2*y for y. -3 Let s be ((-26)/(-8))/((-3)/(-72)). Let x = 78 - s. Solve x = -3*b - 11 - 1 for b. -4 Let m = 672 + -666. Solve -4*p = -m*p - 10 for p. -5 Suppose 5*s = 3*c - 29, 3*s - 10 = s. Solve 6*m + 0*m = -c for m. -3 Let d = -2 + -7. Let j = d - -22. Let f(u) = -u**2 + 12*u + 15. Let a be f(j). Solve 15 = -y - a*y for y. -5 Suppose -21 = -16*w + 11. Solve -w = -3*x + 2*x for x. 2 Let y(b) = 3*b + 32 + 17 - 2*b - 15. Let f be y(-31). Solve 0 = -f*o + o + 8 for o. 4 Let q(j) = 5*j - 3. Let b(l) = 6*l - 4. Let d be 3 + (2 + 4 - 3). Let y(s) = d*b(s) - 7*q(s). Let p be y(5). Solve 2*x = -p*x for x. 0 Let i(t) = -5*t**2 - 6*t + 7*t**2 - 3*t**2 + 4. Let n be i(-6). Solve 11 + 5 = n*s for s. 4 Suppose 94*t - 124 = 32*t. Let p(c) = c**2 - 3*c - 1. Let a be p(5). Suppose -3*y + q - a = -33, -4*y + 32 = -4*q. Solve y = -t*m - 2 for m. -5 Suppose 2*z = -5*x + 3*z + 23, -5*z = 15. Suppose 6 = x*q - 6. Let p be (-32)/(-80)*5/1. Solve -f - q = -p for f. -1 Suppose 0 = 4*a + 2*a - 24. Suppose -5*z - 8 = 2*k - 32, 5*k + z = 14. Let o(f) = 3*f - 4. Let d be o(k). Solve a = -r + d*r for r. 4 Suppose 5*x - 10 = 70. Suppose -4*t = -2*o - 4, -36 = -5*t - 4*o - 5. Suppose -2*r - 3*r = -3*l, -t*r = -5*l. Solve r*z + x = -4*z for z. -4 Let h be 0/(12/(-3) + 6). Suppose 3*g - 6*t = -2*t + 2, -4*g + 2*t = -6. Suppose z = -1 + 10. Solve h = k + g*k - z for k. 3 Let m be 39 + -7 + 5 + -1. Suppose m = -3*n + 60. Solve n = -13*j + 17*j for j. 2 Let y(m) = 3*m - 2. Let z be (6/(-5))/((-9)/30). Let c be y(z). Let s = 10 - c. Solve s = -3*f - 0*f - 9 for f. -3 Suppose l + 5*s - 15 = -0*l, -15 = -5*s. Solve l = -0*c - 7*c + 28 for c. 4 Let d = 52 + -46. Let l = 29 - 18. Let s = l - d. Solve -2*n + s - 3 = 0 for n. 1 Let p be 1/((-44)/(-14) - (8 - 5)). Let n be ((-1)/2)/(p/(-70) + 0). Solve -3 = n*h + 2 for h. -1 Let z be ((-26)/(-65))/(4/(-10)) - -17. Solve 4*h = 8*h + z for h. -4 Let k be (1/(-1))/((-5)/(-170)). Let f = k + 38. Solve -3 - 1 = -f*o for o. 1 Let z(y) = y**3 - 9*y**2 + 13*y + 12. Let u be z(7). Suppose u*c = 7*q - 5*q + 25, 4*c - 4*q - 20 = 0. Solve a + c = -0*a for a. -5 Suppose 5*b = -3*m + m - 83, -3*b = m + 44. Let x = m + 33. Solve -15 = x*o - o for o. -5 Suppose 2*z = -3*z. Suppose z = 7*d - 5*d - 6. Let m(h) = h**2 - 1. Let l be m(-3). Solve -7*r = -d*r + l for r. -2 Suppose 11*x = -995 + 1611. Solve -20 = -x*n + 52*n for n. 5 Let q(i) = -29*i - 239. Let g be q(-10). Solve -11*m = g + 4 for m. -5 Suppose w + 5*h - 4 = 10*h, 20 = 5*w - 4*h. Solve -w*d = -5*d - 4 for d. -4 Let p = -8 - -11. Suppose v + i = 17, p*v + 4*i + 0*i = 53. Solve -2*u = -7*u - v for u. -3 Let r(k) = -k**2 - 3*k - 1. Let t be r(-2). Let q = 6 - t. Suppose -2*h - 1 + q = 0. Solve 0 = 5*u - 3*u - h for u. 1 Let v be 21/(-5) + 3/15*1. Let d be (-39)/(-6) - (2 - (-2)/v). Solve 0 = s - 0*s + d for s. -5 Let x = -32 - -34. Let t be (-3)/(x - (1 + -2)). Let c be (t - 0)*(-8 - -1). Solve -5*a = -3 - c for a. 2 Let g = -5 - -2. Let i be (1 + 0 - 2)*g. Suppose
{ "pile_set_name": "DM Mathematics" }
third derivative of p(m) wrt m. 3840*m**3 Let g(x) be the third derivative of x**6/30 + x**4/12 - 9*x**3/2 + 5*x**2. What is the first derivative of g(c) wrt c? 12*c**2 + 2 Suppose 3*s - 70 = 5*s. Let l = s - -38. What is the third derivative of -l*t**2 - t**5 + 8*t**2 - 10*t**2 wrt t? -60*t**2 Let t(u) = 36*u + 42. Let c(v) = -4*v + 1. Let s(n) = 36*c(n) + t(n). What is the derivative of s(w) wrt w? -108 Find the first derivative of 33*d - 153 + 3*d**3 - 5*d**3 - 5*d wrt d. -6*d**2 + 28 Let g = -22 - -27. What is the third derivative of -60*f**2 + 5*f**2 + 181*f**6 - 190*f**6 + 3*f**g wrt f? -1080*f**3 + 180*f**2 What is the second derivative of 31 + 21 - 49 + 7*l + 75*l**2 wrt l? 150 Let k be 7 - -1*9/(-3). Suppose -2 - k = -w. What is the third derivative of 5*n**2 + n**5 + w*n**5 - 5*n**5 wrt n? 120*n**2 Let y(l) be the second derivative of -l**7/42 + 17*l**6/15 - l**3/2 - 2*l**2 + 27*l. What is the second derivative of y(a) wrt a? -20*a**3 + 408*a**2 Let z(l) be the second derivative of 0*l**7 + 3/56*l**8 + 2/3*l**4 + 0*l**6 + 0*l**2 + 0 + 0*l**3 + 9*l + 0*l**5. What is the third derivative of z(s) wrt s? 360*s**3 Let d(n) be the third derivative of -1/3*n**3 + 0 + 0*n**5 - 11*n**2 + 13/120*n**6 + 0*n**4 + 0*n. Find the first derivative of d(m) wrt m. 39*m**2 Let y(d) = -d. Let n(x) = -18*x - 4. Let c(l) = 2*n(l) + 22*y(l). What is the first derivative of c(s) wrt s? -58 Let i(c) be the first derivative of -2*c**9/189 + c**5/15 + 3*c**3 - 3. Let p(m) be the third derivative of i(m). Find the second derivative of p(h) wrt h. -640*h**3 What is the second derivative of -449*c + 3*c**3 - 2*c**3 + 167*c**2 + 15 + 445*c wrt c? 6*c + 334 Suppose -3*i = 2*i. Suppose i*m - 4 = -m. What is the second derivative of 6*w**4 + 0*w**2 - m*w**4 + 0*w**2 + 5*w wrt w? 24*w**2 Let d(a) be the first derivative of 0*a - 3*a**3 + 0*a**4 + 0*a**2 + 17/5*a**5 + 14. Find the third derivative of d(s) wrt s. 408*s Suppose 0 = 4*g - 5 - 75. What is the derivative of 410*j + 1 - 438*j - g wrt j? -28 Let n(h) = 9*h**2 - 5*h + 587. Let q(k) = -4*k**2 + 2*k - 294. Let s(d) = -2*n(d) - 5*q(d). Find the first derivative of s(b) wrt b. 4*b Let m(u) be the first derivative of u**7/210 + u**6/24 + u**3 - 11. Let j(h) be the third derivative of m(h). What is the third derivative of j(s) wrt s? 24 Suppose -2*f + 5*k = -0*f + 26, -5*k = -20. Let c be -6*1*f/6. Find the third derivative of -c*r**2 - 3*r**4 + 7*r**4 + 2*r**4 + 2*r**4 wrt r. 192*r Suppose 5*z - 4*w = w, 0 = -2*w + 4. What is the third derivative of -4*n**6 + 44*n**4 + z*n**2 - 44*n**4 - 3*n**6 wrt n? -840*n**3 Let g(w) = -6*w + 1. Let u(d) = 897*d - 628. Let f(l) = 6*g(l) + u(l). Differentiate f(p) with respect to p. 861 Let t(r) be the second derivative of -13/12*r**4 + 0 + 8*r + 0*r**2 + r**3. What is the second derivative of t(q) wrt q? -26 Let u(y) be the second derivative of 0 + 0*y**3 + 0*y**5 + 0*y**2 - 1/7*y**7 + 0*y**6 - 11*y - 7/12*y**4. Find the third derivative of u(p) wrt p. -360*p**2 Let v(z) be the first derivative of -3 + 3*z**2 - 1 - 3 + 2 + 14*z. Find the first derivative of v(l) wrt l. 6 Let x(j) = 1263*j - 1533. Let r(o) = 758*o - 920. Let i(y) = -12*r(y) + 7*x(y). What is the first derivative of i(v) wrt v? -255 Let g(h) = -7*h**2 - 30*h + 257. Let w(i) = 17*i**2 + 59*i - 516. Let j(s) = -5*g(s) - 2*w(s). What is the derivative of j(o) wrt o? 2*o + 32 Let v = 66 + -41. Let h = v - 14. Find the second derivative of 0 + 12*y**3 + 3 + h*y - 3 wrt y. 72*y What is the third derivative of 125*o**2 - 89*o**4 + 147*o**2 + 19*o**2 wrt o? -2136*o What is the third derivative of 33*r + 25*r**2 - 5*r**4 - 26*r**2 + 0*r**4 wrt r? -120*r Let t be 1/(-7) - 171/(-21). Let u = t - 3. What is the third derivative of -d**6 + 6*d - u*d - d + 2*d**2 wrt d? -120*d**3 Let m(i) = 10*i + 7*i - 19*i - 5*i**2 - 10. Let v(n) = -n**2 - n. Let r(d) = -m(d) + 2*v(d). What is the first derivative of r(c) wrt c? 6*c Suppose 0 = 5*m - 4*r - 144, -4*m + 136 = -2*r + 4*r. What is the second derivative of m*i**2 - 8*i**2 + 2*i - 10*i**2 wrt i? 28 Let q = -11 + 45. Let l = q + -30. What is the second derivative of 6*b - 4*b**l - 5*b**4 + 6*b**4 wrt b? -36*b**2 Let w(t) = t**3 - 6*t**2 + 8*t - 3. Let s be w(5). Let n = s - 7. What is the second derivative of -53*x - 5*x**3 + 5*x**3 + 50*x - 2*x**n wrt x? -40*x**3 Let o(j) be the third derivative of 29*j**7/42 - j**6/120 + 34*j**3/3 - 991*j**2. Find the first derivative of o(y) wrt y. 580*y**3 - 3*y**2 Let x(n) = -3*n**3 + n + 1. Let p be x(-1). What is the third derivative of -2*a**2 - 6*a**3 + 10*a**p + 0*a**2 + 4*a**2 wrt a? 24 Let m(f) = -8*f**3 + 12*f**2 - 98. Let i(r) = 2*r**3 + r**2 - 1. Let n(h) = 5*i(h) + m(h). Differentiate n(j) wrt j. 6*j**2 + 34*j Let x(w) be the second derivative of 13*w**6/10 - 99*w**2 - 203*w. Differentiate x(o) with respect to o. 156*o**3 Let u be (-2)/(-9) + (-642)/(-27). Suppose 0*a = g + 5*a + 16, 0 = 3*g - 3*a - u. Find the first derivative of -4*j**4 + 3*j**g - 3 - 2*j**4 wrt j. -12*j**3 Suppose 10*f - 5 = 35. What is the second derivative of 36*z**2 - 22*z + 2*z**4 - 36*z**2 + 9*z**f wrt z? 132*z**2 What is the first derivative of -2*r**2 + 872 - 57*r**2 + 6*r + 78*r**2 wrt r? 38*r + 6 Let r(c) be the third derivative of c**6/40 - 11*c**5/60 - 2*c**4/3 - 140*c**2. What is the second derivative of r(y) wrt y? 18*y - 22 Let b(l) be the third derivative of 53*l**4/8 - 59*l**3/6 - 2*l**2 + 41. What is the first derivative of b(g) wrt g? 159 Let d(g) be the first derivative of -635*g**7/7 - 73*g**3/3 + 194. Find the third derivative of d(p) wrt p. -76200*p**3 Suppose 0 = 3*i - 0*i + a - 27, -a = 0. Find the second derivative of -8*v**2 + 1 - 3*v**2 - 1 + i*v wrt v. -22 Let q(k) be the second derivative of 0*k**2 + 16/15*k**6 + 0*k**5 + 9 + 2*k + 0*k**3 + 23/12*k**4. What is the third derivative of q(x) wrt x? 768*x Suppose -4*w + 4*h = -5*w - 2, -8 = 2*h. What is the second derivative of -w*y**3 + 12*y**2 - 6*y + 8*y**2 - 20*y**2 wrt y? -84*y Suppose 12 = 4*x - 0*x. What is the second derivative of -m**x - 4 + 3 + 161*m - 153*m + 16*m**2 wrt m? -6*m + 32 Let l(m) be the third derivative of -29*m**8/168 + 59*m**5/30 + 130*m**2. What is the third derivative of l(k) wrt k? -3480*k**2 Let b(j) be the second derivative of -5*j**4/24 + 5*j**3/2 - j**2 + 13*j. Let p(f) be the first derivative of b(f). Differentiate p(c) wrt c. -5 What is the second derivative of 96*c**4 + 2 - 4973*c**2 + 4973*c**2 - c wrt c? 1152*c**2 Suppose 8*p - 528 = 32. What is the third derivative of -12*f**2 + 72*f**3 + p*f**3 - 142*f**3 + 28*f**4 wrt f? 672*f Let z(g) be the third derivative of 113*g**8/168 - g**5/60 + 31*g**3/2 - 2*g**2 - 124. Find the third derivative of z(p) wrt p. 13560*p**2 Let j(n) = 95*n**2 - 6*n + 275. Let w(a) = a**3 - 189*a**2 + 14*a - 549. Let m(b) = 7*j(b) + 3*w(b). Find the first derivative of m(c) wrt c. 9*c**2 + 196*c Differentiate 342*c**2 - 68*c**2 - 746 + 316*c**2 wrt c. 1180*c Let n be 327/(-21) - (-12)/21. Let d = n + 18. Find the second derivative of -115*j**d + 117*j**3 + 2*j - 12*j wrt j. 12*j Suppose -7*c = -4*c. Suppose 4*a - 20 = c, 5*v - 2*a = -0*a + 5. Differentiate -2*h + 7*h**3 - v + 2*h + 0*h**3 with respect to h. 21*h**2 Let f(r) be the first derivative of -579*r**5/5 + 2*r**2 - 23*r - 380. What is the second derivative of f(y) wrt y? -6948*y**2 Let t(c) be the second derivative of 61*c**7/42 - c**5/20 - 19*c**3/2 - 163*c. Find the second derivative of t(m) wrt m. 1220*m**3 - 6*m Suppose -2*q - 10 = -7*q. What is the derivative of 8*p**q + 6 + 6*p**2 - 2*p**2 wrt p? 24*p What is the second derivative of -68*i - 13*i**3 + 12 - 18 + i**2 + 6 wrt i? -78*i + 2 Let k(l) = 56*l + 27. Let r(i) = 84*i + 40. Let q = -4 + -1. Let x(u) = q*r(u) + 8*k(u). Differentiate x(c) with respect to c. 28 Suppose -2*y + 8 = 4*v, -1 + 3 = -2*v - 4*y. Let u be v/4 + 6/(-8). Differentiate -8 + 6*k + 3*k + u*k wrt k. 9 Suppose -4*p + 0*p + 18 = 3*r, 0 = -3*r - 2*p + 12. Let z be -7 + 6 + 0 + (5 - 2). Find the second derivative of -4*x**2 + 0*x**r - x**2 + z*x wrt x. -10 Differentiate -96*n - 72*n**2 - 27*n**2 + 96*n - 25 wrt n. -198*n Let g(w) = 873*w - 2523. Let y(x) = 175*x - 504. Let l(q) = -5*g(q) + 24*y(q). Differentiate l(i) wrt i. -165 Let c(d) =
{ "pile_set_name": "DM Mathematics" }
lse Suppose d + 108 = 4*d. Does 14 divide d? False Suppose 0 = 4*q - 12, -2*q + 5*q = -2*i + 331. Is 14 a factor of i? False Let i = 32 + -10. Suppose -6*d + 2*d + 5*l = -i, 3*d - 1 = -4*l. Suppose -2*o + d = -o. Is 2 a factor of o? False Let o(r) = 3*r**2 - r + 8. Let c be o(5). Suppose 2*g - 18 = c. Does 12 divide g? True Let f be 2 - -6*(-5)/(-10). Let a = 35 - -37. Suppose -2*n = t + 2*n - 6, f*t - n - a = 0. Is 7 a factor of t? True Let t be (-2 + 0)/(0 + -1). Suppose t*j + 0*j = 0. Suppose j = -0*d - 3*d, -d = v - 7. Does 5 divide v? False Does 56 divide (216/(-9))/((-1)/(57/6))? False Let q = -7 + 15. Is 12 a factor of q/32 + 294/8? False Let a = -5 - -10. Suppose -a*d - 7 = -2*b, 3*d - 15 = 2*b - 4*b. Is b a multiple of 3? True Suppose p = -o + 4*p + 16, 0 = -3*o - 3*p. Suppose q - 365 = -o*q. Is 19 a factor of q? False Let w be 2/4 - 12/(-8). Let y(z) = 3*z**3 + 2*z**2 + 2*z - 2. Does 17 divide y(w)? True Let o be 0 - (0 + -2)*5. Suppose 2*r - t - o = 2*t, 3*r + 3*t = 0. Suppose -r*q = 2*q - 60. Is 15 a factor of q? True Suppose 5*t - 81 = 294. Is t a multiple of 15? True Suppose 0 = 5*r + i - 1168 + 18, 0 = r - 4*i - 251. Does 21 divide r? True Let u(i) = 73*i. Let v be u(2). Let k = v + -102. Is 14 a factor of k? False Suppose 116 - 388 = -4*i. Does 16 divide i? False Suppose y = -3*i - 25, -2*i = 2*y + 16 + 2. Is 1/2*i + 9 even? False Suppose 0 = -4*o - n + 185, -2*o + 5*n = -7*o + 250. Is 17 a factor of o? False Let s(t) = -t - 5. Let p be s(-5). Suppose -5*q + 170 = -5*g, 0 = 5*g - p*g - 5. Is 19 a factor of q? False Let u(d) = -d**2 - 5*d - 3. Let n be u(-2). Suppose -17 = -4*a - n*l, -a + 0*l - 2*l + 8 = 0. Suppose -a*t - 12 = -f, 0*t = -5*f + 4*t + 66. Does 14 divide f? True Let r(s) = -27*s - 48. Is 29 a factor of r(-5)? True Let d = 6 + -6. Suppose d = -r + 6*r. Suppose r = 4*u - 88 - 92. Is 16 a factor of u? False Suppose -125 = -5*g + 220. Let s = -45 + g. Is 13 a factor of s? False Suppose -2*f = -3 - 9. Does 18 divide (2 + f)*(-18)/(-4)? True Suppose -4*z = -2*w - 250, -3*z = -6*z - 5*w + 168. Suppose 0*l - 4*q = 5*l - z, 0 = -4*l + 2*q + 28. Does 2 divide l? False Suppose 0*s + 6 = -s + f, -5*f = -4*s - 22. Let v = 22 - s. Is v a multiple of 15? True Let q(l) = -l - 5. Let n be q(-6). Suppose -u = n - 3. Suppose 0 = -3*j + 5*x + 15 + 3, -u*x = 0. Is 6 a factor of j? True Let l be 4*4/(-32)*-4. Suppose n + 3*c = -3*n + 41, l*n = -c + 19. Is n a multiple of 4? True Is (-1)/(-5) + (-7 - (-2516)/20) a multiple of 45? False Let k = 61 + 52. Does 13 divide k? False Suppose 5*h = 3*h + 4*x + 44, 0 = 3*h + x - 59. Is h even? True Suppose m - 170 + 65 = 0. Is 5 a factor of (1/(-3))/((-7)/m)? True Let u be -14 - (9/3)/3. Does 11 divide -1 - (1 + 1) - u? False Suppose -3*l = -6, -2*q - 5*l = -4*q. Suppose 28 = -3*w + 4*v - 41, 0 = q*w - 2*v + 115. Let x = -16 - w. Is x a multiple of 7? True Suppose 4*y + 3*g - 12 = 0, y = 2*y + 5*g - 20. Let p(c) = c + 4. Let l be p(y). Suppose -4*x + 4 = 12, x = l*w - 34. Is 6 a factor of w? False Let a(g) = 2*g - 6. Suppose -40 + 0 = -5*r. Is 3 a factor of a(r)? False Let n(l) = l**3 + 7*l**2 + 2*l + 7. Let z be n(-5). Is 19 a factor of z + ((-4)/2 - -5)? False Does 17 divide (-163)/(-7) + 10/(-35)? False Suppose 4*s = -0*s + 96. Is (0 - 0) + s + 0 a multiple of 9? False Let z(q) = -q**3 + 5*q**2 + 7*q - 8. Let x be z(6). Let r(b) = -2*b + 1. Is r(x) a multiple of 5? True Let b(k) = k**2 + 11*k - 7. Let n be b(-12). Let l(y) = y**2. Let a(x) = -x**3 + 8*x**2 - 2*x + 4. Let m(v) = -a(v) + 3*l(v). Is m(n) a multiple of 5? False Suppose 3*b = -2 + 11. Suppose 3*w - 3*p = 171, -17 = -b*w - 5*p + 122. Is w a multiple of 27? False Let f be 6/(-18) + (-5)/3. Let x(k) = 4*k**2 + 3*k + 5. Does 3 divide x(f)? True Let s(d) be the second derivative of 13*d**3/6 + 5*d**2/2 - 4*d. Is s(4) a multiple of 19? True Let s = 462 + -221. Does 37 divide s? False Let c be (1 + 0)/(1/2). Suppose -6*a - 16 = -3*k - c*a, 0 = 4*k - 2*a - 38. Is k a multiple of 6? True Let o(a) = -a + 7. Let c be o(-6). Suppose c + 2 = 3*w. Is 2 a factor of w? False Let c(s) be the third derivative of s**5/60 + s**4/24 + s**3/2 - s**2. Is 6 a factor of c(-3)? False Suppose 4*o - 4 = -o - 2*d, -2*d = -o - 4. Suppose -n + o = -9. Does 6 divide n? False Let z(c) = 2*c**2 - 2*c + 6. Is z(7) a multiple of 15? True Let z = 34 - 12. Let j = z - -2. Is 10 a factor of j? False Let b be (3 - 7) + (9 - 1). Suppose 8 = -2*i, -c = -9*i + b*i - 40. Does 18 divide c? False Let t(s) = s**3 - 3*s**2 - 7*s. Is 5 a factor of t(5)? True Let d(p) = 65*p**3 - p**2. Let a(o) = o**3 - 8*o**2 + o - 7. Let x be a(8). Is 20 a factor of d(x)? False Let k(o) = -59*o - 11. Let u be k(-9). Suppose -4*z = -8*z + u. Suppose 0 = 4*s + s - z. Is s a multiple of 18? False Suppose o - 46 = p - 6*p, 3*p = 2*o + 25. Is p a multiple of 9? True Suppose 8*y = 4*y - 2*j + 182, 3*y - 149 = j. Does 24 divide y? True Let a = -2 + 4. Suppose 408 = a*u + 2*u. Let f = u + -68. Does 17 divide f? True Suppose 2*g = 2*x + 150, 3*x = g - 6*g + 335. Does 13 divide g? False Let v(i) = 22*i**2 + 0*i**2 + 0*i + 5*i - 4*i. Let n be (1 + -3 + 0)/(-2). Does 13 divide v(n)? False Let u = 97 + -30. Suppose 2*n - u = 149. Suppose 4*s - n = -4*j - 0*j, -5*s = -3*j - 143. Is s a multiple of 14? True Let a(v) = v + 11. Let q be a(-9). Suppose 36 = q*d + 4. Does 8 divide d? True Let d be -1 + (2 - -2) + 0. Let h = 2 + d. Is (h/4)/((-3)/(-48)) a multiple of 10? True Suppose 0 = 3*d - 102 - 174. Is d a multiple of 23? True Let t = 68 - 10. Is t a multiple of 14? False Let a(y) = 1. Let i(r) = r**3 - 7*r**2 - 4*r + 9. Let v(j) = 3*a(j) + i(j). Is 11 a factor of v(8)? True Does 2 divide ((-3)/9)/(1/(-36))? True Let h(g) = -2*g + 58*g**2 + 0*g + 1 - 36*g**2. Is 7 a factor of h(1)? True Let x(w) = -6*w**2 + w - 7. Let y(u) = -7*u**2 + u - 8. Let b(j) = -5*x(j) + 4*y(j). Is 18 a factor of b(4)? False Suppose -2*z = -10*z + 168. Is z a multiple of 7? True Let u = 231 + -29. Is 25 a factor of u? False Let s = -147 + 161. Is s even? True Let q = 0 + 5. Suppose 0 = q*u - 16 - 9. Is u a multiple of 2? False Suppose -8 = -p + 2. Suppose -3*s = -2*m + 71, 4*s + 10 + p = 0. Let g = -18 + m. Is 10 a factor of g? True Does 19 divide 14 - -3 - (-2 - 0)? True Let x = 37 + -23. Suppose 2*r + 0*r = x. Is 9 a factor of 39/2 + r/(-14)? False Suppose 0 = 5*i - u - 15, 4*i - 12 = -0*i - u. Suppose -3*x = d - 30, 3 = 2*x - i*x + 4*d. Is x a multiple of 4? False Let w = 75 + -51. Is 6 a factor of w? True Let g = 6 + -2. Let r(k) = -k**3 + k - 2 + 7*k**2 - 1 - 6*k. Is r(g) a multiple of 10? False Suppose 0 = -18*x + 10*x + 384. Does 6 divide x? True Suppose -3*g + 347 = 5*v, 4*v + 2 = 6. Does 6 divide g? True Let u be 164/12 - (-1)/3. Let c = -7 + u. Does 3 divide c? False Let y be (-8)/12*129/2. Let l = 63 + y. Is 20 a factor of l? True Let o = -126 + 186. Is o a multiple of 15? True Let o = -1 - -14. Let i = o - -3. Does 7 divide -40*(i/10 - 2)? False Let l be (-6)/4 + 9/2. Suppose 0 = 2*s - l - 5. Suppose s*t - 25 = 11. Does 8 divide t? False Let w = -76 + 139. Is 21 a factor of w/15*(1 + 4)? True Let g = 17 - 38. Let n = g + 25. Does 2 divide n? True Suppose 0 = -3*v + 5*v + 2*q - 276, -5*q = -4*v + 570. Is 13 a factor of v? False Let c = -5 + 1. Let w be 1/(-4) + (-105)/c. Let q = -6 + w. Is 20 a factor of q? True Let i = 547 + -372. Is i a multiple of 18? False Let y = 134 + -91. Is 3 a factor of y? False Let g(u) be the second derivative of -u**4/12 - 4*u**3/3 + 2*u**2 + 2*u. Let x(m) = m**2 + 5*m - 5. Let s be x(-5). Is g(s) a multiple of 9? False Let t(b) = 3 + b**2 - 1 + b**2 - 6*b - b**2. Is 2 a factor of t(6)? True Let y(m) = -2*m + 1. Let i be (45/36)/(1/(-4)). Is y(i) a multiple of 2? False Let y be 98/8 + 1/(-4). Does 29 divide (-104)/(-16)*(y - -2)? False Let n(r) = 3*r**2 + 8*r + 8. Let z be n(-5). Let o = -6 + z. Is o a multiple of 33? False Let g(l) = l. Let z(b) = -3*b - 2. Let f(d) = -5*g(d) - z(d). Is f(-9) a multiple of 11? False Let l = 11 - -16. Suppose 3*b - l - 18 = 0. Is 15 a factor of b? True Suppose -2*c - p = c - 9, 2*c + 4*p + 4 = 0. Does 8 divide 33 - c/(-10)*-5? False Let l(d) = -37*d**3 - 2*d**2 - 2*d - 1. Let w = 15 + -16. Is 12 a factor of l(w)? True Is 26 a factor of 6 - (-389 + (1 - -4))?
{ "pile_set_name": "DM Mathematics" }
sands digit of 356192? 3 What is the ten thousands digit of 413225? 1 What is the hundred thousands digit of 8003724? 0 What is the millions digit of 20812630? 0 What is the units digit of 9983731? 1 What is the thousands digit of 1128898? 8 What is the hundred thousands digit of 287265? 2 What is the hundreds digit of 27588371? 3 What is the hundred thousands digit of 2947673? 9 What is the millions digit of 4787967? 4 What is the tens digit of 97819? 1 What is the thousands digit of 6881131? 1 What is the ten thousands digit of 265758? 6 What is the ten thousands digit of 569370? 6 What is the hundreds digit of 450869? 8 What is the units digit of 21800? 0 What is the units digit of 9532402? 2 What is the hundred thousands digit of 11198245? 1 What is the hundred thousands digit of 25841761? 8 What is the thousands digit of 323045? 3 What is the hundreds digit of 471134? 1 What is the tens digit of 3270076? 7 What is the hundreds digit of 4911337? 3 What is the units digit of 963438? 8 What is the units digit of 3302060? 0 What is the thousands digit of 3327717? 7 What is the hundred thousands digit of 231268? 2 What is the ten thousands digit of 2011839? 1 What is the ten thousands digit of 5749045? 4 What is the thousands digit of 4407240? 7 What is the tens digit of 2291881? 8 What is the units digit of 972612? 2 What is the units digit of 727238? 8 What is the ten thousands digit of 302799? 0 What is the ten thousands digit of 61216? 6 What is the ten thousands digit of 1977674? 7 What is the tens digit of 1225943? 4 What is the hundreds digit of 195853? 8 What is the ten thousands digit of 409008? 0 What is the hundred thousands digit of 2267525? 2 What is the hundred thousands digit of 9232471? 2 What is the units digit of 223990? 0 What is the thousands digit of 1577741? 7 What is the units digit of 5005084? 4 What is the thousands digit of 27226150? 6 What is the hundred thousands digit of 673726? 6 What is the hundred thousands digit of 20860344? 8 What is the thousands digit of 1592863? 2 What is the hundred thousands digit of 2474887? 4 What is the tens digit of 11154450? 5 What is the hundred thousands digit of 2710738? 7 What is the ten thousands digit of 4336823? 3 What is the thousands digit of 677276? 7 What is the thousands digit of 3630938? 0 What is the ten thousands digit of 87289? 8 What is the units digit of 12566751? 1 What is the ten millions digit of 11255335? 1 What is the tens digit of 9183273? 7 What is the millions digit of 2792793? 2 What is the ten thousands digit of 21242783? 4 What is the units digit of 1419262? 2 What is the units digit of 1616815? 5 What is the units digit of 2060846? 6 What is the thousands digit of 1542137? 2 What is the ten thousands digit of 2314057? 1 What is the thousands digit of 2165105? 5 What is the ten thousands digit of 501829? 0 What is the hundreds digit of 658016? 0 What is the hundred thousands digit of 8360627? 3 What is the tens digit of 70308? 0 What is the hundred thousands digit of 6432910? 4 What is the ten millions digit of 13657510? 1 What is the hundred thousands digit of 221523? 2 What is the hundred thousands digit of 6983841? 9 What is the units digit of 157298? 8 What is the ten thousands digit of 28572? 2 What is the hundred thousands digit of 134105? 1 What is the units digit of 1227? 7 What is the units digit of 226810? 0 What is the hundred thousands digit of 9923882? 9 What is the hundred thousands digit of 12855034? 8 What is the ten thousands digit of 61562? 6 What is the thousands digit of 222747? 2 What is the ten thousands digit of 1788113? 8 What is the tens digit of 123390? 9 What is the hundred thousands digit of 126420? 1 What is the thousands digit of 420540? 0 What is the hundred thousands digit of 205297? 2 What is the thousands digit of 431960? 1 What is the tens digit of 866778? 7 What is the hundred thousands digit of 3713575? 7 What is the thousands digit of 2599250? 9 What is the ten thousands digit of 294411? 9 What is the hundreds digit of 9571283? 2 What is the hundreds digit of 14225? 2 What is the tens digit of 17063079? 7 What is the hundred thousands digit of 1555987? 5 What is the thousands digit of 857724? 7 What is the thousands digit of 182506? 2 What is the units digit of 28657960? 0 What is the hundreds digit of 693625? 6 What is the tens digit of 2221796? 9 What is the ten millions digit of 12971574? 1 What is the millions digit of 8490300? 8 What is the ten thousands digit of 3083392? 8 What is the hundred thousands digit of 18629858? 6 What is the thousands digit of 686338? 6 What is the hundreds digit of 150627? 6 What is the units digit of 7041465? 5 What is the tens digit of 1361592? 9 What is the ten thousands digit of 104703? 0 What is the hundreds digit of 1881100? 1 What is the tens digit of 14959? 5 What is the units digit of 1060994? 4 What is the millions digit of 2074013? 2 What is the tens digit of 39982009? 0 What is the thousands digit of 395507? 5 What is the ten thousands digit of 33874160? 7 What is the tens digit of 361806? 0 What is the hundred thousands digit of 3487149? 4 What is the units digit of 25084? 4 What is the ten thousands digit of 38085641? 8 What is the hundreds digit of 430096? 0 What is the ten thousands digit of 407171? 0 What is the hundreds digit of 494114? 1 What is the hundred thousands digit of 2109750? 1 What is the tens digit of 300524? 2 What is the hundreds digit of 5368605? 6 What is the tens digit of 174357? 5 What is the thousands digit of 2018037? 8 What is the tens digit of 15863457? 5 What is the units digit of 159471? 1 What is the units digit of 173646? 6 What is the thousands digit of 13545895? 5 What is the hundreds digit of 997037? 0 What is the ten thousands digit of 5373496? 7 What is the ten thousands digit of 2941979? 4 What is the tens digit of 2745706? 0 What is the ten thousands digit of 1714740? 1 What is the hundreds digit of 310226? 2 What is the hundred thousands digit of 301639? 3 What is the hundred thousands digit of 158870? 1 What is the ten thousands digit of 1174211? 7 What is the tens digit of 9683? 8 What is the thousands digit of 533963? 3 What is the units digit of 5249474? 4 What is the hundreds digit of 22149044? 0 What is the hundreds digit of 3362362? 3 What is the units digit of 867018? 8 What is the thousands digit of 31347548? 7 What is the millions digit of 1357090? 1 What is the thousands digit of 720979? 0 What is the units digit of 306778? 8 What is the ten thousands digit of 2184047? 8 What is the thousands digit of 1775? 1 What is the ten thousands digit of 114992? 1 What is the units digit of 1207419? 9 What is the millions digit of 2157211? 2 What is the units digit of 91651? 1 What is the hundred thousands digit of 888280? 8 What is the units digit of 307018? 8 What is the hundreds digit of 1396750? 7 What is the hundreds digit of 3831891? 8 What is the thousands digit of 64188? 4 What is the tens digit of 5623? 2 What is the hundred thousands digit of 2844450? 8 What is the tens digit of 176422? 2 What is the hundreds digit of 3536613? 6 What is the units digit of 268967? 7 What is the thousands digit of 1364159? 4 What is the millions digit of 1763650? 1 What is the units digit of 1874804? 4 What is the units digit of 20854173? 3 What is the tens digit of 1887511? 1 What is the hundreds digit of 12648515? 5 What is the tens digit of 109901? 0 What is the thousands digit of 249739? 9 What is the units digit of 103421? 1 What is the tens digit of 4301575? 7 What is the thousands digit of 45173? 5 What is the tens digit of 2262421? 2 What is the ten thousands digit of 89153? 8 What is the hundred thousands digit of 2265683? 2 What is the hundred thousands digit of 481359? 4 What is the units digit of 6601109? 9 What is the tens digit of 294883? 8 What is the hundred thousands digit of 1578069? 5 What is the hundred thousands digit of 352931? 3 What is the tens digit of 1759596? 9 What is the tens digit of 24554684? 8 What is the ten thousands digit of 110000? 1 What is the units digit of 97431? 1 What is the tens digit of 309031? 3 What is the millions digit of 2611223? 2 What is the tens digit of 2422811? 1 What is the tens digi
{ "pile_set_name": "DM Mathematics" }
- 5 + 4 for z. -6 Solve 3*b + 5 = -5*h + 20, -3*b - 104*h + 105*h - 3 = 0 for b. 0 Solve 8*j - 60 = -2*n, -4*j - 8 = -23 - 17 for n. -2 Solve 5*j + 2 - 3 + 3 = 8 + 9, -3*x = -8*x + 4*j - 37 for x. -5 Solve 3*m - 314367 = 4*f - 314532, 0 = 71*f + 5*m - 2754 for f. 39 Solve -m + 130*i = 787, 3*m + 59699*i - 59702*i + 39 = 0 for m. -7 Solve 3*t + 0*l + 2*l - 30 = -0*l, 4*t - 20 = -4*l + 8*l for t. 8 Solve -38 + 53 = -5*p, -12*s + 7*s + 6*p = 127 for s. -29 Solve -6*g - 5 = d, -g - 15*d - 87 = -0*g - 6*g - 12 for g. 0 Solve 50*b - 241 = 22*h - 19*h + 12, 3*b - 20 = 5*h for b. 5 Solve -4*x + 68*q + 1939 = 1763, -2*q = 3*x + 27 for x. -7 Solve 19*f = 3*o + 570 - 596, 3*o = 3*f - 54 for o. -23 Solve 4*j - 14 + 2 = 0, 3*j = 8*l - 10*l + 21 for l. 6 Solve 4*k = 19*c + 330, -3*k + 0*k + 92 + 265 = 4*c + 2*k for c. -2 Solve u = 13*n - 112310 + 112245, -20 = -u - 4*n for u. 0 Solve 3*r - 4*r = 2*u + 3 - 2 + 8 + 1, 0 = -r for u. -5 Solve 3*f - 31 = 2*f + 4*c, f + 93932*c - 93933*c = 10 for f. 3 Solve -57*d + 58*d - 33 = -r, 4*r = -d + 126 for d. 2 Solve a = -2*a - 5*n - 84, n - 4*n - 2*n - 94 = -2*a for a. 2 Solve -75*x - 4*j = -71*x + 116, -8*j = 10*x - 5*x + 223 for x. -3 Solve -3*s + 3*c = -0*s, -11 - 101 = -6*s + s - 13*c - 10*c for s. 4 Solve 19*f - 8*f = 4*s + 140, -30 = -3*f + 6*s - 9*s for f. 12 Solve 4*y - 211*a - 186*a = -393*a - 40, 22 = -2*y + 3*a for y. -8 Solve -16*k = -15*k + 8*b - 13*b + 21, 0*k - 3*k = -4*b + 8 for k. 4 Solve 5*o = 2*q + 60177 - 60200, 51*q - 984 = -5*o for q. 19 Solve 2 = 2*z + 2*l, -2*z + l + 9 = 2*l - 6*l for z. 2 Solve -4*s - 8*i + 11*i = -13*s - 0*s - 21, -5*i + 25 = -5*s for s. -3 Solve -18*u - 9*q = -31*q + 27*q - 1, -5*q + 55 = 0 for u. -3 Solve o + 25 + 9 = 5*l, -4*o - 45*l + 169*l - 56*l = 53*l + 111 for o. -9 Solve -22*r - 23*a + 56 = -74 - 24, -8*r + 0*a = -4*r + 5*a - 28 for r. 7 Solve 0 = -246*n + 245*n + 3*z, 4*z + 404 = 35*n for n. 12 Solve -34 = 6*o + 4*b, b = -555 + 548 for o. -1 Solve 2*u + 38*w = -108, -7*u - w - 84 = -2*u + 8*w - 7*w for u. -16 Solve 73*s + 10 = 2*g + 68*s, 3 + 57 = 12*g + 8*s for g. 5 Solve -95*u - 10 = -4*v - 96*u - 36, -v - 40 = 17*u for v. -6 Solve 0 = -4*o + 2*c - 20*c + 4*c + 13*c - 14, 5*c = o - 49 for o. -1 Solve i + 0*i + 41 = 5*w + 3*i, 22*w - 40 = -16294*i + 16296*i for w. 3 Solve 5596*b - 7 = 5595*b + 4*i, -12*b + 8*b - 2*i = -64 for b. 15 Solve 96 = 3*v - 3*n, -2*v - 22 + 35 + 107 = -7*v - 5*n for v. 4 Solve 4*k - 8*k + 9*k = 3*c + 308, 8*c = -k + 53 for k. 61 Solve -3*u - 229*r - 231*r + 13 = -453*r, -u + 3 = r for u. 2 Solve -3*c + 393 = 150*z + 1137, 0 = -5*z + 4*c - 8 - 25 for z. -5 Solve -33*s - 15*s + 39*s = 4*q + 226, 0 = -4*s - q - 102 for s. -26 Solve 2*x - 11*x + 0*x = 244*g - 172, 0*g - x = -g + 2*x + 25 for g. 1 Solve 6*z - 787*a = -790*a - 6, -z - 23 = -5*a for z. -3 Solve 2*y + 10 = -2*i, -16*i = -3*i - 11*i - 2 - 2 for y. -7 Solve 282 = -9*n + 4*v, 3*n - 1431*v = -1435*v - 78 for n. -30 Solve 23*z - 24*z - 32*v = -35*v - 11 - 11, -z + 5*v = -34 for z. 4 Solve -46*c - 2*r = -226, -2*c - 56*r = -51*r for c. 5 Solve -5*k = -3*g + 269, 915*g + 912*g - 2*k - 98 = 1829*g for g. 3 Solve -18788*k + i - 27 = -18792*k, -97 = -9*k + 5*i for k. 8 Solve 3*n - 23 = 4*p, -274*p + 3640*n + 229 = 3635*n for p. 1 Solve x + 38 + 10 = 42*w, w + 2*x + 9 = -2*w for w. 1 Solve -935*s = -933*s + 2*a - 12, 0 = a for s. 6 Solve -4*f + 474205*l - 65 = 474202*l, 3*f - 4*l + 54 = 0 for f. -14 Solve -w = -3*m + 68, 0 = 80*w + 2*m - 81 + 32 + 30 + 135 for w. -2 Solve -26 = -a + 3*a + 24916*p - 24917*p, 5*p - 70 = 5*a for a. -12 Solve -10*p - 15*p + 50*p - 13*p = 16*p + 12, -2*s = -2*p + 14 for s. -10 Solve -7*y + 3432 = 3*s + 3775, 98 = -5*s - 2*y for s. 0 Solve -4*i = -3*u - 18 - 12, -9*u + 13*i + 43 = -10*u + 18*i for u. 2 Solve 4*p + 2*j + 24 = 0, 8*p + 312*j = -4*p + 310*j - 64 for p. -5 Solve 2*u - 32 = 2*n, -123*u - 58 = -2*n - 61*u - 66*u for n. -1 Solve 11*f + 3 = 1803*s - 1805*s, 3*s - 9 = -6*f + 3*f for s. 4 Solve -4*q - 64 = -q + 19*v, 2*q + v = q - 0*v + 6*v + 24 for q. 4 Solve -o - i - 56 = 0, -265 = -o + 7*i + 9 + 126 for o. 1 Solve -2*y - 2*p = 10, -32512*y - 3 = -32511*y + 3*p for y. -6 Solve -6*x - 205 + 207 = -4*y, 39*y = x - 192 for y. -5 Solve 29*r = -q + 48, -5*r + 5*q = -6*r - 2*r - 44 for r. 2 Solve -5*v + 404 = -2*h + 254, 2*h + v + 3*v = -123 - 63 for h. -85 Solve -5*g - p = -8, 2*g - 3*p - 7584 + 7593 = 2*g for g. 1 Solve d + 36 = 6*d + 3*m, 895 = 11*d - 5*m + 781 for d. 9 Solve 20 = -o + d, -17*o + 22*o + 30 = 3*d - 40 for o. -5 Solve 0 = 5*o - 11164*p + 11160*p + 2, -4*o - 2 = -3*p for o. -2 Solve 6*x + 14*d + 14089 = 13837, -2*x = 5*d + 84 for x. -42 Solve -10*r = -s + 38, 4*r - 282 = 5*s - 288 for r. -4 Solve 4*x - 2523 = m - 2506, 4*x + 3*m = 13 for x. 4 Solve u + 4*v + 30 = 0, 2707*u + 5*v = 2706*u - 27 for u. -42 Solve s - 3*g = -15, -587 = 5*s - 66*g - 54*g + 13 for s. 0 Solve 4 = -4*z - 4*y, 167 = -2*z + 55*y - 63 for z. -5 Solve -16*c - 4*u = -140, 133*c - 130*c - 9 = 5*u for c. 8 Solve -42542*y + 42536*y = 3*w - 9, 16 = -4*w - y for w. -5 Solve 8*m + 288 = s - 231 + 492, 0 = 3*m - 2*s + 41 for m. -1 Solve 2*h = 2*o + 32, 3*o = 10812*h - 10810*h - 29 for h. 19 Solve 2594*i = -2*u + 5147*i - 2600*i - 179, u + 53 = -u - 5*i for u. -19 Solve 4*l + 19*k - 17*k + 15*k + 0*k = 21, 2*l = 5*k - 3 for l. 1 Solve 3*t = k - 9, 1505*k = -5*t + 8*t + 1506*k + 9 for t. -3 Solve 357*p = 5*d - 7517, 2*d + 7*p - 24 + 163 = 0 for d. 4 Solve -22 = 129*s - 124*s - 7*t, 0 = 4*t - 4 for s. -3 Solve -39*r - 2*m = -43*r - 39 - 23, 3*m = -8*r + 121 for r. 2 Solve -45 = -76*x + 85*x - 4*p, 25*x - 18*x - 2*p + 35 = 0 for x. -5 Solve -972*u - 8 = -969*u - 4*j, 1014 = 251*u + 2*j for u. 4 Solve 30 = q + 5*g, 633*q - 638*q + 5 = -4*g for q. 5 Solve 2*u + 848 + 840 = u - 3*i + 1680, -15*u + 4*i = 18 + 4 for u. -2 Solve 1321*o = 1308*o - 3*a - 77, o - 5*a = 15 for o. -5 Solve 2*r - 16 = -10*x, -1031*r + 1030*r - 10 = -x for x. 3 Solve 5*l - 1874 = -3*d - 1683, 18*d = -3*l + 147 for d. 2 Solve 0 = -3*y - 2*r - 65, 142*y + 140 = 136*y - 2*r for y. -25 Solve 261*n = 361*n - 3*h + 688, -n + 7*h + 21 = 0 for n. -7 Solve -4*n + 3*u - 31 = 0, 486*u + 75 = 501*u for n. -4 Solve -4*x - 33*o - 48 = -8*o - 29*o, -7*o = -5*x - 54 for x. -15 Solve -7*i + 2*i = 3*h + 11, 2*h = 28*i - 615 - 615 + 1254 for i. -1 Solve -d - 5*j + 21 = 0, -3*d + 4*j = -289431 + 289425 for d. 6 Solve 4*n + 18 = 2*r, 2*n - 218*r = -293*r + 219 for n. -3 Solve -16 = 6*d - 4*c - 6, 85*d - 80*d - 2*c + 12 - 1 = 0 for d. -3 Solve 2*d + 80*p = -2*d - 140, 5*d - 23 = 22081*p - 22082*p for d. 5 Solve 3*c - 3*c + 4*i + 275 = 4*c + 299, 192 = -63*c + i for c. -3 Solve 16*r = -3*b + 14*r + 5 + 9, 4*b - 5*r - 34 = 0 for b. 6 Solve -1311*o + 1313*o + 4*b - 236 = -42, 0 = 4*o + 2*b - 106 for o. 3 Solve 8*z + 5 = -5*q, -4*q + 45*z - 4 = 7*z + 21*z for q. -1 Solve -z = 2*i - 4, -4*z + 14654*i = 14652*i - 56 for z. 12 Solve 3*m = y - 12 + 69, -5*m + 2*y + 96 = 0 for m. 18 Solve 4156*r - 4161*r + 11 = 3*q, -4*r + 9*q + 43 = 0 for r. 4 Solve -4*m - 51 = -5*j, -1560*m + 22*j = -1560*m + 66 for m. -9 Solve 232*z - 110*z + 244 = -3*m + 117*z, -5*m = 5*z + 250 for m. -3 Solve -32*m - 4*u + 3*u - 5979 = -6202, -5*u - 26 = -3*m for m. 7 Solve 24401*t + 3*j = 24404*t - 39, 8*t = -4*j - 4 for t. 4 Solve -4*n - 6 = -5*g, 2*n - 4219*g + 4222*g = 8 for n. 1 Solve -i - 346 = 32*a - 505, 3*a - 3*i = 18 for a. 5 Solve 5*l + 4*i = 413, 154*l = -1252*i + 1247*i + 73 for l. -3 Solve -o - 152 = l + 140 - 320, -4*o - 3 = -l for o. 5 Solve -26 = 2*l - 5*i - 0*i - 87, -l - i - 15 = 0 for l. -2 Solve -2*i + 20*m - 15*m + 11 = 8*m + 2*m, -m = 2*i - 31 for i. 18 Solve 6516 + 4614 = 3*x + 179*h + 118*h + 729, x + 5*h - 177 = 0 for x. 2 Solve -g + 162 = 8*i - 8*g + 5*g, -4*i + 72 = -4*g for i. 21 Solve -4*f + 3*s - 6 = 27, 3*f + s + 3340 - 3364 = 0 for f. 3 Solve -36*k + 41*k = 21*m - 70, -k = -m - 2 for m. 5 Solve -13*w - 6*w + 4*x = 177 + 36, 2254*w - 4*x + 3 - 10 = 2255*w for w. -11 Solve -10*l + 6*l + 7*f = 23*f - 2*f - 6*f + 84, -3*f = -l + 19 for l. -5 Solve -3504*t - 42 = -3513*t + 3*x, 6*t - 29 = x for t. 5 Solve 2*p - a = -25, -533*p + 537*p + 41 = 11*a for p. -13 Solve 26*u + 3*r - 5*r + 92 = 0, -7*u + r = -2*u + 6 for u. -5 Solve -3*q + 5*j - 14 =
{ "pile_set_name": "DM Mathematics" }
31? 25 Suppose -4*z - 3*p = 31 - 271, -2*z + 134 = -2*p. Calculate the remainder when z is divided by 1/(-4) + (-10)/(-3)*3003/616. 15 Suppose 4*h - 118 = -34. Let f = 11 + -21. What is the remainder when h is divided by f*2/(8/(-4))? 1 What is the remainder when 3239 is divided by ((-284)/(-923))/(8/52)? 1 Let d be 852/3 + (2 - 2). Suppose -5*k - 2*q + 511 = -206, 2*k - 2*q - d = 0. Calculate the remainder when k is divided by 5. 3 Let s = 123 + -121. Suppose -3*l = -3, l = -s*d - d + 19. Suppose -7*p + 92 = -d*p. What is the remainder when p is divided by 24? 20 Let r(b) = b**3 + b + 21. Suppose j = -5*q - 1 - 3, -2*q = -3*j - 29. Calculate the remainder when r(0) is divided by (j/(-5))/((-11)/(-55)). 3 Suppose -28*n = -35*n + 336. Suppose -n - 37 = -5*s. Suppose 16*a - s*a = -2. Calculate the remainder when 4 is divided by a. 0 Suppose -3*b + 4*b - 12 = 0. Calculate the remainder when -1 - (-1288)/35 - (-4)/20 is divided by b. 0 Let h = 1315 - 1100. What is the remainder when h is divided by 16? 7 Let a(f) = -1361*f + 9643. What is the remainder when 349 is divided by a(7)? 1 Suppose 16*k - 4*k = 36. What is the remainder when 30 is divided by (34/k)/((-28)/(-42))? 13 Let y(c) = c**2 + 23*c - 21. Let s(h) = -h**2 - 21*h + 21. Let l(b) = 4*s(b) + 3*y(b). What is the remainder when 49 is divided by l(-16)? 4 Suppose -9*k + 7004 - 1461 = 14*k. What is the remainder when k is divided by 31? 24 Let a = -16 - -32. Let w be 74/a + 30/80. Suppose -3*n + m = -8*n + 66, -w*n = 5*m - 50. Calculate the remainder when 64 is divided by n. 8 Let f be ((-10)/(-6))/(-5 - (-16)/3). Let a be -6 - (4 - f) - -77. Let i = a + -28. Calculate the remainder when 131 is divided by i. 43 Suppose -523 = -5*g - 3*r, -g + 106*r - 102*r = -123. What is the remainder when 12407 is divided by g? 102 Let p be (10/4 + -1)*(3 + -9). Let r be 8/(-6)*p/6. Suppose -7*u + 4*u + 18 = r*h, -3*h - u = -34. Calculate the remainder when 34 is divided by h. 10 Let v(p) = p**2 + 3*p + 13. Calculate the remainder when v(-9) is divided by (2 + 17)*(6 - (-2 - -7)). 10 Let u(t) = -2*t**2 + 125*t - 242. What is the remainder when u(39) is divided by 55? 51 Let s(a) = -a**3 - 15*a**2 - 55*a - 798. Calculate the remainder when s(-17) is divided by 40. 35 What is the remainder when (3 + 51/34)/(1/(-14)*-1) is divided by 54? 9 Let u = -30 + 124. What is the remainder when u is divided by (8/(-40))/(2/(-530))? 41 Suppose 3*r + v - 307 = 0, -2*r = -8*v + 6*v - 210. Let z = r - 80. What is the remainder when (-5 - -2) + (75 - 5) is divided by z? 21 Let p = 155 + -82. Let w = -28 + p. Suppose 66 - 46 = 2*g - 3*k, 5*g + 3*k - 92 = 0. What is the remainder when w is divided by g? 13 Calculate the remainder when ((-26)/(-8))/(-13) + (-386)/(-8) is divided by (-8802)/(-432) + (-3)/8. 8 Let n(d) = -10*d - 85. Let r(k) = -21*k - 171. Let j(t) = 9*n(t) - 4*r(t). What is the remainder when 39 is divided by j(-17)? 18 Suppose -3*n + 0*n = 12, 2*n + 83 = 5*h. What is the remainder when 138/(-50*2/(-55) - (-8)/44) is divided by h? 9 Suppose 6*l - 847 = -5*k + 9*l, -4*k - 4*l = -652. What is the remainder when 496 is divided by k? 162 Suppose 5*n - 279 = -3*k, -5*n + k = -40 - 227. Suppose -2*z + 3*i = -423 - 205, 5*z + i = 1621. What is the remainder when z is divided by n? 53 Let c = 107 + -240. Let i = c + 221. Calculate the remainder when i is divided by 13. 10 Let a be (8/(48/1845))/((-1)/2). Let r = -391 - a. What is the remainder when r is divided by 15? 14 Let m(k) = 4*k**3 + k**2 + 6*k - 4. Let g be (-10)/((-70)/(-21)) - (-5 + -1). Calculate the remainder when m(g) is divided by 11. 10 Calculate the remainder when (-25 - -998) + (-8 - (-11 - -5)) is divided by 159. 17 Let u(s) = s**3 - s + 36. What is the remainder when 1436 is divided by u(3)? 56 Let v(o) = -o**2 - 62*o - 405. Calculate the remainder when 90 is divided by v(-9). 18 Let z = -502 - -504. Suppose -32 = -2*p + 4*n, z - 22 = -2*p + n. What is the remainder when 55 is divided by p? 7 Suppose 3*n - 72 = -15. Calculate the remainder when ((-30)/40)/((-36)/8976) is divided by n. 16 Suppose 2*l + j - 189 = 0, 5*l = -j + 6*j + 465. Suppose 0 = -l*h + 97*h - 57. Calculate the remainder when 113 is divided by h. 18 Suppose -m - 3*k + 169 = -1009, 6*m - 4*k = 7002. What is the remainder when m is divided by 40? 9 Let m = 72 + -45. What is the remainder when (-6)/(-4)*(19 - -43) is divided by m? 12 Let z(m) = 511 + 2*m - 576 + 2*m. Calculate the remainder when z(30) is divided by 21. 13 Let z = -27 + 84. Suppose z*x + 4 = 59*x. What is the remainder when 3766/42 + (-3)/(9/x) is divided by 18? 17 Let j = -679 + 720. Suppose -4*o - 13 = -x, 2*o = -x - 2 + 9. What is the remainder when j is divided by x? 5 Suppose 5*x - 7*x = -c + 77, 4*x = -3*c + 181. Calculate the remainder when 319 is divided by c. 51 Suppose 60*l - 47*l - 5343 = 0. What is the remainder when l is divided by 102? 3 Suppose 175*x - 173*x = -4*t + 136, 2*x - 22 = -t. Calculate the remainder when 8353 is divided by t. 31 Let d(g) = 36*g**2 - 9*g - 12. Let n = -75 - -45. Calculate the remainder when d(-1) is divided by n/3*(-6)/5. 9 Let b be 4551/1599 + ((-2)/(-13) - 0). Suppose b*i - 526 = 296. Calculate the remainder when i is divided by 72. 58 Suppose 4*g + 4*w - 124 = 0, -4*g = w - 3*w - 88. Let o = 654 + -282. Calculate the remainder when o is divided by g. 22 Let s = 11 + 8. Suppose 0 = 3*c - 4*t - 17, -t - s = -3*c + 1. Suppose -2*m + 33 = c. Calculate the remainder when m is divided by 6. 1 Let r = 451 - -15. Suppose r = 10*x - 8*x. Calculate the remainder when x is divided by 60. 53 Let r be (-2)/3 - 272/(-3). Suppose -i + 0*i + r = 0. Suppose i + 20 = 2*f. What is the remainder when f is divided by 19? 17 Let n = 2296 + -2236. What is the remainder when n is divided by 16? 12 Let u be -1 - -2 - (-20 + 82). Let i = u + 168. Calculate the remainder when i is divided by 9. 8 Let j = 454 - 450. Suppose -j*c = -909 + 117. What is the remainder when c is divided by 23? 14 Suppose 2711 + 1724 = 158*k - 621. What is the remainder when 1757 is divided by k? 29 Let s(p) = -54*p. Suppose z + 0*z + 1 = 0. Let i(x) = 12*x**2 - 100*x + 51. What is the remainder when s(z) is divided by i(8)? 16 Let x = 36 + -16. Suppose a + 46 = -a. Let d = 14 - a. Calculate the remainder when d is divided by x. 17 Let y = 46 + -43. Suppose -b + 35 = -0*b + 3*c, 2*b - 67 = -y*c. What is the remainder when 58 is divided by b? 26 Let w = 4910 + -4835. What is the remainder when 1042 is divided by w? 67 What is the remainder when 502 is divided by (-784)/84*-6*(-1)/(-4)? 12 Calculate the remainder when 2430 is divided by ((-315)/(-42) + -8)/(1/(-42)). 15 Suppose 3*f = -2*x - 97, -5*f - 47 = x - 2*f. Let o = -2 - -5. What is the remainder when (-60)/(-75)*x/(-4) is divided by o? 1 Let j(y) = -2*y**3 - 8*y**2 - 19*y + 50. Let f be j(-12). Suppose 0 = 4*s - 2*v - f, -9*s + v = -6*s - 1939. Calculate the remainder when s is divided by 11. 10 Let q = -109 + 135. Let w(k) = 7*k - 68. Calculate the remainder when w(28) is divided by q. 24 Suppose -30*x = -38*x + 96. Suppose 7*w - 323 = -x*w. Calculate the remainder when 80 + 1/1 + -1 is divided by w. 12 Let p(t) = 0 + 2*t + 22*t - 21*t**2 - 10 + t**3. Suppose 10*f = 6*f + 96. What is the remainder when p(20) is divided by f? 22 Suppose -3*m - k + 40 = 30, 0 = -m - 4*k + 18. Suppose 0 = 5*o + w - 64, 9*w - 11*w = -m*o + 16. Calculate the remainder when 491 is divided by o. 11 Let w(v) be the second derivative of -v**3/6 + 13*v**2/2 + v - 40. Calculate the remainder when 23 is divided by w(7). 5 Let p = 10211 + -3863. Calculate the remainder when p is divided by 29. 26 Let s(y) = 25*y**2 - 600*y + 20. Calculate the remainder when 1837 is divided by s(24). 17 Let w(g) = -8*g - 31. Let f be w(-4). Suppose 0 = 4*t + 3 + f. What is the remainder when ((-69)/(t + (-1 - -1)))/1 is divided by 14? 13 What is the remainder when 369 is divided by 18/36*112 + 4? 9 Let g = 50 + 93. Suppose l - 121 = -3*v, 0*v + 5*l = -4*v + g. What is the remainder when v is divided by 20? 2 Suppose 0 = 2*l + 3*d - 61, -5*l + 5*d = -279 + 214. What is the remainder when l is divided by (-6)/9*-3 - -12? 6 Let w(r) = 153*r - 2678. What is the remainder when w(19) is divided by 85? 59 Let m(d) =
{ "pile_set_name": "DM Mathematics" }
8 What is the cube root of 140763 to the nearest integer? 52 What is the cube root of 617690 to the nearest integer? 85 What is the fifth root of 1529599 to the nearest integer? 17 What is the square root of 217636 to the nearest integer? 467 What is the cube root of 15846807 to the nearest integer? 251 What is 165148 to the power of 1/5, to the nearest integer? 11 What is the ninth root of 10533736 to the nearest integer? 6 What is the square root of 187122 to the nearest integer? 433 What is the square root of 448718 to the nearest integer? 670 What is the cube root of 1029672 to the nearest integer? 101 What is 731633 to the power of 1/2, to the nearest integer? 855 What is the square root of 5535574 to the nearest integer? 2353 What is the eighth root of 1080131 to the nearest integer? 6 What is 2356460 to the power of 1/9, to the nearest integer? 5 What is the fifth root of 472317 to the nearest integer? 14 What is the eighth root of 12017 to the nearest integer? 3 What is 78121 to the power of 1/2, to the nearest integer? 280 What is 2124808 to the power of 1/2, to the nearest integer? 1458 What is the square root of 42226457 to the nearest integer? 6498 What is 57182 to the power of 1/2, to the nearest integer? 239 What is 21109773 to the power of 1/2, to the nearest integer? 4595 What is 183001 to the power of 1/3, to the nearest integer? 57 What is the square root of 2756422 to the nearest integer? 1660 What is the square root of 4005995 to the nearest integer? 2001 What is 2297221 to the power of 1/2, to the nearest integer? 1516 What is the square root of 2046972 to the nearest integer? 1431 What is the third root of 2002839 to the nearest integer? 126 What is the square root of 641842 to the nearest integer? 801 What is the cube root of 495783 to the nearest integer? 79 What is the square root of 432636 to the nearest integer? 658 What is 30034760 to the power of 1/3, to the nearest integer? 311 What is the third root of 1359238 to the nearest integer? 111 What is the fourth root of 462633 to the nearest integer? 26 What is the ninth root of 321311 to the nearest integer? 4 What is 25242360 to the power of 1/4, to the nearest integer? 71 What is 1114176 to the power of 1/5, to the nearest integer? 16 What is the cube root of 1318472 to the nearest integer? 110 What is 148275 to the power of 1/3, to the nearest integer? 53 What is the fourth root of 2221001 to the nearest integer? 39 What is the third root of 35458763 to the nearest integer? 329 What is 11586969 to the power of 1/2, to the nearest integer? 3404 What is the sixth root of 55374 to the nearest integer? 6 What is 645463 to the power of 1/9, to the nearest integer? 4 What is 114700 to the power of 1/2, to the nearest integer? 339 What is the square root of 1195839 to the nearest integer? 1094 What is the third root of 3752660 to the nearest integer? 155 What is 2659370 to the power of 1/3, to the nearest integer? 139 What is the cube root of 32203 to the nearest integer? 32 What is 793632 to the power of 1/2, to the nearest integer? 891 What is 10518332 to the power of 1/2, to the nearest integer? 3243 What is the cube root of 18678445 to the nearest integer? 265 What is 150156 to the power of 1/10, to the nearest integer? 3 What is the fifth root of 162119 to the nearest integer? 11 What is the third root of 20736653 to the nearest integer? 275 What is 183051 to the power of 1/2, to the nearest integer? 428 What is the square root of 1006021 to the nearest integer? 1003 What is the cube root of 153118 to the nearest integer? 53 What is 48585 to the power of 1/10, to the nearest integer? 3 What is the eighth root of 30120557 to the nearest integer? 9 What is 717027 to the power of 1/6, to the nearest integer? 9 What is the cube root of 2116888 to the nearest integer? 128 What is 971425 to the power of 1/3, to the nearest integer? 99 What is 241537 to the power of 1/10, to the nearest integer? 3 What is the square root of 220820 to the nearest integer? 470 What is the third root of 27388525 to the nearest integer? 301 What is 698559 to the power of 1/7, to the nearest integer? 7 What is 5646750 to the power of 1/3, to the nearest integer? 178 What is 10738 to the power of 1/3, to the nearest integer? 22 What is 41596 to the power of 1/2, to the nearest integer? 204 What is the eighth root of 164725 to the nearest integer? 4 What is the cube root of 14948404 to the nearest integer? 246 What is the tenth root of 6569366 to the nearest integer? 5 What is the square root of 689700 to the nearest integer? 830 What is the cube root of 970778 to the nearest integer? 99 What is the square root of 222621 to the nearest integer? 472 What is the eighth root of 321844 to the nearest integer? 5 What is 2214162 to the power of 1/3, to the nearest integer? 130 What is the fifth root of 887690 to the nearest integer? 15 What is the cube root of 413891 to the nearest integer? 75 What is 6770632 to the power of 1/7, to the nearest integer? 9 What is the square root of 410441 to the nearest integer? 641 What is 25944548 to the power of 1/9, to the nearest integer? 7 What is 104063 to the power of 1/2, to the nearest integer? 323 What is 1544479 to the power of 1/10, to the nearest integer? 4 What is the eighth root of 4199193 to the nearest integer? 7 What is 155913 to the power of 1/8, to the nearest integer? 4 What is 968228 to the power of 1/2, to the nearest integer? 984 What is 1509542 to the power of 1/2, to the nearest integer? 1229 What is the tenth root of 2252821 to the nearest integer? 4 What is 70875 to the power of 1/2, to the nearest integer? 266 What is the cube root of 4323565 to the nearest integer? 163 What is the third root of 11344109 to the nearest integer? 225 What is the tenth root of 2260552 to the nearest integer? 4 What is 1108795 to the power of 1/8, to the nearest integer? 6 What is the third root of 1437929 to the nearest integer? 113 What is 4761849 to the power of 1/3, to the nearest integer? 168 What is the square root of 1511689 to the nearest integer? 1230 What is 4956182 to the power of 1/2, to the nearest integer? 2226 What is 2507297 to the power of 1/3, to the nearest integer? 136 What is 212328 to the power of 1/5, to the nearest integer? 12 What is the fifth root of 6497561 to the nearest integer? 23 What is the fifth root of 1299348 to the nearest integer? 17 What is the third root of 22350133 to the nearest integer? 282 What is the cube root of 5164402 to the nearest integer? 173 What is the square root of 376902 to the nearest integer? 614 What is the eighth root of 3411394 to the nearest integer? 7 What is the ninth root of 236347 to the nearest integer? 4 What is the cube root of 89646 to the nearest integer? 45 What is 4628654 to the power of 1/3, to the nearest integer? 167 What is 1761492 to the power of 1/3, to the nearest integer? 121 What is 289425 to the power of 1/8, to the nearest integer? 5 What is the third root of 904064 to the nearest integer? 97 What is the third root of 303260 to the nearest integer? 67 What is the square root of 168659 to the nearest integer? 411 What is the cube root of 176196 to the nearest integer? 56 What is 723412 to the power of 1/3, to the nearest integer? 90 What is the fifth root of 749850 to the nearest integer? 15 What is 2621515 to the power of 1/3, to the nearest integer? 138 What is 43312 to the power of 1/2, to the nearest integer? 208 What is the cube root of 700112 to the nearest integer? 89 What is the cube root of 2391714 to the nearest integer? 134 What is 1389241 to the power of 1/8, to the nearest integer? 6 What is the cube root of 19238964 to the nearest integer? 268 What is the square root of 186045 to the nearest integer? 431 What is 7292291 to the power of 1/3, to the nearest integer? 194 What is the square root of 28484727 to the nearest integer? 5337 What is the ninth root of 266119 to the nearest integer? 4 What is the cube root of 172070 to the nearest integer? 56 What is the fifth root of 398177 to the nearest integer? 13 What is the fifth root of 5678801 to the nearest integer? 22 What is 236443 to the power of 1/3, to the nearest integer? 62 What is 1669494 to the power of 1/
{ "pile_set_name": "DM Mathematics" }
4528372*r**2 - 9082320*r + 4545424. 4*(r - 1)**2*(r + 1066)**2 Factor -3*q**4/4 - 45*q**3/4 - 177*q**2/4 - 135*q/4. -3*q*(q + 1)*(q + 5)*(q + 9)/4 Determine m so that 5*m**4/8 + 9*m**3/4 - 3*m**2/2 - 13*m - 12 = 0. -2, 12/5 Factor b**4/3 + 4*b**3 + 16*b**2 + 64*b/3. b*(b + 4)**3/3 Find y, given that -3*y**2 + 5760*y - 2764800 = 0. 960 What is i in 3*i**5/5 + 51*i**4/5 + 282*i**3/5 + 114*i**2 + 483*i/5 + 147/5 = 0? -7, -1 Factor -k**5/3 - 20*k**4 - 116*k**3/3 + 2*k**2/3 + 39*k + 58/3. -(k - 1)*(k + 1)**3*(k + 58)/3 Let 3*q**4/8 - 75*q**3/8 + 81*q**2/2 - 123*q/2 + 30 = 0. What is q? 1, 2, 20 Let -u**2/5 - 36*u + 181/5 = 0. Calculate u. -181, 1 Factor -4*v**2 + 32*v + 36. -4*(v - 9)*(v + 1) Factor i**2/4 + 17*i/4 - 15. (i - 3)*(i + 20)/4 Factor -u**4/6 + 8*u**3 - 183*u**2/2 - 299*u/3. -u*(u - 26)*(u - 23)*(u + 1)/6 Determine y, given that 10*y**3/13 - 32*y**2/13 - 6*y/13 + 36/13 = 0. -1, 6/5, 3 Let 2*w**3 + 34*w**2 - 82*w - 114 = 0. What is w? -19, -1, 3 Factor 2*c**2/5 + 8*c/5 - 42/5. 2*(c - 3)*(c + 7)/5 Let -2*w**3/3 + 20*w**2/3 - 6*w = 0. Calculate w. 0, 1, 9 Find j, given that j**4 + 35*j**3/3 + 94*j**2/3 - 20*j - 24 = 0. -6, -2/3, 1 Factor 2*h**2/17 - 90*h/17. 2*h*(h - 45)/17 Factor 2*n**2/9 - 14*n/3 + 76/9. 2*(n - 19)*(n - 2)/9 Find a such that 3*a**2/7 - 27*a/7 + 24/7 = 0. 1, 8 Determine o so that 5*o**2 - 45 = 0. -3, 3 Solve -4*q**4 - 36*q**3 - 112*q**2 - 144*q - 64 = 0 for q. -4, -2, -1 Factor 3*o**4 - 63*o**3 + 222*o**2 + 288*o. 3*o*(o - 16)*(o - 6)*(o + 1) Factor -f**4/3 + 34*f**3/3 - 320*f**2/3 + 512*f/3. -f*(f - 16)**2*(f - 2)/3 Suppose 4*f**5 - 28*f**4 + 52*f**3 - 4*f**2 - 56*f + 32 = 0. What is f? -1, 1, 2, 4 Determine u so that -4*u**3 + 104*u**2 + 528*u - 1440 = 0. -6, 2, 30 Determine d so that -3*d**3 + 72*d**2 - 303*d - 378 = 0. -1, 7, 18 Factor f**2/2 + 15*f + 29/2. (f + 1)*(f + 29)/2 Solve 2*s**5/7 - 12*s**4/7 + 2*s**3 + 12*s**2/7 - 16*s/7 = 0. -1, 0, 1, 2, 4 Solve 3*y**3 - 75*y**2 + 282*y + 360 = 0 for y. -1, 6, 20 Factor -5*r**2 - 225*r - 430. -5*(r + 2)*(r + 43) Determine o, given that 2*o**3 - 36*o**2 - 78*o - 40 = 0. -1, 20 Suppose -5*d**5 - 65*d**4 + 80*d**3 + 140*d**2 = 0. What is d? -14, -1, 0, 2 Factor -2*m**3/7 - 24*m**2/7 - 90*m/7 - 108/7. -2*(m + 3)**2*(m + 6)/7 Factor 3*p**4/8 + 11*p**3/4 + 43*p**2/8 + 3*p/2. p*(p + 3)*(p + 4)*(3*p + 1)/8 Factor -2*a**3/7 + 88*a**2/7 + 1272*a/7 + 576. -2*(a - 56)*(a + 6)**2/7 Let 2*x**4 + 18*x**3 + 42*x**2 + 38*x + 12 = 0. Calculate x. -6, -1 Factor 2*p**2 + 36*p - 126. 2*(p - 3)*(p + 21) Determine c, given that 3*c**2 - 279*c - 2100 = 0. -7, 100 Suppose -3*b**5 + 39*b**4 - 27*b**3 - 123*b**2 + 186*b - 72 = 0. Calculate b. -2, 1, 12 Factor -5*f**3 - 15*f**2 + 20*f. -5*f*(f - 1)*(f + 4) What is q in 25*q**3/3 + 1630*q**2/3 - 1316*q/3 + 88 = 0? -66, 2/5 Find p such that -4*p**2 + 748*p - 744 = 0. 1, 186 Factor -2*g**4 + 18*g**2 - 8*g - 24. -2*(g - 2)**2*(g + 1)*(g + 3) Solve -2*t**3/5 + 292*t**2/5 + 8606*t/5 + 58136/5 = 0. -13, 172 Solve -2*l**5/9 + 10*l**4/9 - 4*l**3/3 - 4*l**2/9 + 14*l/9 - 2/3 = 0. -1, 1, 3 Factor 3*h**2/7 + 180*h/7 + 2700/7. 3*(h + 30)**2/7 Factor 125*a**3 - 13350*a**2 + 36645*a - 25480. 5*(a - 104)*(5*a - 7)**2 Determine h, given that -3*h**2/5 - 18*h/5 - 24/5 = 0. -4, -2 Suppose 6*q**5/5 - 31*q**4/5 + 41*q**3/5 + 18*q**2/5 - 52*q/5 + 8/5 = 0. What is q? -1, 1/6, 2 Solve -2*s**3/11 - 76*s**2/11 - 546*s/11 + 3528/11 = 0. -21, 4 Suppose 4*s**3/7 - 24*s**2/7 - 36*s/7 + 8 = 0. Calculate s. -2, 1, 7 Let -2*i**3/19 + 82*i**2/19 - 880*i/19 + 800/19 = 0. What is i? 1, 20 Solve -4*h**2 - 20*h + 24 = 0 for h. -6, 1 Factor -3*b**2 + 354*b - 10443. -3*(b - 59)**2 Solve -3*m**4/4 + 81*m**3/4 - 375*m**2/2 + 675*m - 750 = 0 for m. 2, 5, 10 Determine o, given that -3*o**3 - 177*o**2 - 1584*o = 0. -48, -11, 0 Determine t so that -6*t**5/11 - 42*t**4/11 + 48*t**3/11 = 0. -8, 0, 1 Suppose -2*k**2/11 + 14*k/11 - 12/11 = 0. What is k? 1, 6 Factor -2*q**2/5 - 19*q + 48/5. -(q + 48)*(2*q - 1)/5 Factor i**3/3 + 112*i**2/3 + 412*i + 1200. (i + 6)**2*(i + 100)/3 Factor 12*w**3 + 56*w**2 - 28*w - 40. 4*(w - 1)*(w + 5)*(3*w + 2) Factor 4*h**2/7 - 88*h/7 - 1632/7. 4*(h - 34)*(h + 12)/7 Find k, given that 2*k**3/15 - 16*k**2 + 480*k = 0. 0, 60 Determine q, given that -q**2 + 12*q + 160 = 0. -8, 20 Factor 2*d**2/5 + 12*d/5 + 16/5. 2*(d + 2)*(d + 4)/5 Solve -3*a**3 + 5472*a**2 - 3326976*a + 674267136 = 0. 608 Find z, given that -5*z**3 + 120*z**2 - 115*z = 0. 0, 1, 23 Solve -4*i**2/7 + 52*i/7 - 160/7 = 0 for i. 5, 8 Solve 8*r**5 + 2*r**4 - 72*r**3 - 50*r**2 + 88*r + 24 = 0 for r. -2, -1/4, 1, 3 Factor -2*i**3/3 + 4*i**2/3 + 238*i/3 - 392. -2*(i - 7)**2*(i + 12)/3 Factor -2*f**3/5 + 26*f**2/5 + 12*f. -2*f*(f - 15)*(f + 2)/5 Suppose 3*a**5/2 - 3*a**4/2 - 6*a**3 + 6*a**2 = 0. Calculate a. -2, 0, 1, 2 Find n such that 1682*n**2 - 377*n + 169/8 = 0. 13/116 Determine u, given that u**5 + 112*u**4 + 3021*u**3 - 6498*u**2 = 0. -57, 0, 2 Determine w, given that 15*w**5/2 + 29*w**4/2 - 23*w**3/2 - 41*w**2/2 + 4*w + 6 = 0. -2, -1, -3/5, 2/3, 1 Factor 5*p**3 - 110*p**2 - 145*p + 690. 5*(p - 23)*(p - 2)*(p + 3) Determine d so that 21*d**2/4 + 14793*d - 4227 = 0. -2818, 2/7 Let 3*v**4 - 15*v**3 + 9*v**2 + 27*v = 0. Calculate v. -1, 0, 3 Determine v, given that -v**5 + 5*v**4 + 5*v**3 - 25*v**2 - 4*v + 20 = 0. -2, -1, 1, 2, 5 Factor -u**4/2 - 23*u**3 - 20*u**2 + 111*u - 135/2. -(u - 1)**2*(u + 3)*(u + 45)/2 Find b, given that -4*b**3 + 4*b**2 + 80*b = 0. -4, 0, 5 Suppose -4*u**4 - 1960*u**3 = 0. What is u? -490, 0 Factor 3*v**2/4 - 9*v/2 - 81/4. 3*(v - 9)*(v + 3)/4 Factor 27*q**3 - 237*q**2 + 162*q + 48. 3*(q - 8)*(q - 1)*(9*q + 2) What is x in x**4 + 6*x**3 - 17*x**2 - 6*x + 16 = 0? -8, -1, 1, 2 Factor -2*a**2/3 - 58*a/3 - 200/3. -2*(a + 4)*(a + 25)/3 Solve -3*h**3/5 - 4*h**2/5 + h + 2/5 = 0. -2, -1/3, 1 Factor 3*r**3/4 - 918*r**2 + 1119951*r/4 + 1127307/2. 3*(r - 613)**2*(r + 2)/4 Factor 27*o**3 - 80*o**2/3 - o/3. o*(o - 1)*(81*o + 1)/3 Suppose 2*h**2 - 2446*h - 4900 = 0. Calculate h. -2, 1225 Factor d**3/5 + 342*d**2/5 + 38988*d/5 + 1481544/5. (d + 114)**3/5 Solve 5*p**5 + 25*p**4 + 5*p**3 - 85*p**2 - 110*p - 40 = 0. -4, -1, 2 Factor -4*t**3 + 364*t**2 - 712*t. -4*t*(t - 89)*(t - 2) Factor -4*a**4 + 36*a**3 - 28*a**2 - 36*a + 32. -4*(a - 8)*(a - 1)**2*(a + 1) Factor 2*n**3 + 60*n**2 + 442*n. 2*n*(n + 13)*(n + 17) Determine x so that 4*x**2 - 136*x + 372 = 0. 3, 31 Find i such that -3*i**5/2 + 63*i**4/2 + 63*i**3/2 - 3963*i**2/2 - 7380*i - 5400 = 0. -4, -1, 15 What is h in 9*h**5/7 + 6*h**4/7 - 12*h**3/7 - 6*h**2/7 + 3*h/7 = 0? -1, 0, 1/3, 1 Factor -b**5/4 + 7*b**4 - 67*b**3 + 459*b**2/2 - 243*b/4 - 729/2. -(b - 9)**3*(b - 2)*(b + 1)/4 Find a, given that 5*a**4 - 5*a**3 - 5*a**2 + 5*a = 0. -1, 0, 1 Factor o**3/3 + 10*o**2/3 - 29*o + 48. (o - 3)**2*(o + 16)/3 Suppose -a**2/2 - 523*a/2 - 261 = 0. What is a? -522, -1 Factor 2*y**2/15 + 176*y/15 - 182/5. 2*(y - 3)*(y + 91)/15 Factor 8*a**3/9 + 22*a**2/9 - 2*a/3. 2*a*(a + 3)*(4*a - 1)/9 Suppose -2*v**3/11 + 30*v**2/11 - 144*v/11 + 224/11 = 0. Calculate v. 4, 7 Factor -2*v**2/11 - 20*v/11 - 42/11. -2*(v + 3)*(v + 7)/11 Factor -2*m**2 - 2344*m. -2*m*(m + 1172) Factor -5*y**3 - 80*y**2 + 55*y + 3630. -5*(y - 6)*(y + 11)**2 Solve q**3/9 - q**2/9 - 2*q/9 = 0 for q. -1, 0, 2 Factor -245*i**3 + 2555*i**2 - 5200*i - 8000. -5*(i + 1)*(7*i - 40)**2 Solve -21*t**2/2 - 339*t/2 + 180 = 0. -120/7, 1 Solve -l**4/3 + 4*l**3/3 - l**2 - 4*l/3 + 4/3 = 0. -1, 1, 2 Determine q so that q**2/2 + 12*q + 23/2 = 0. -23, -1 Solve 5*h**3/4 + 237*h**2/4 - 73*h/2 - 24 = 0. -48, -2/5, 1 What is s in -4*s**2/3 - 368*s/3 - 8464/3 = 0? -46 Factor -f**5/2 + 4*f**4 - 6*f**3 - f**2 + 13*f/2 - 3. -(f - 6)*(f - 1)**3*(f + 1)/2 Factor m**3/3 + 145*m**2/3 + 6623*m/3 + 97199/3. (m + 37)**2*(m + 71)/3 Factor -4*o**4 - 64*o**3 - 276*o**2 - 360*o. -4*o*(o + 3)**2*(o + 10) Factor -h**3/5 + 13*h**2/5 - 23*h/5 + 11/5. -(h - 11)*(h - 1)**2/5 Solve -c**3 + 25*c**2 + 248*c + 528 = 0. -4, 33 Factor -2*t**4/13 - 1418*t**3/13 + 2842*t**2/13 - 1422*t/13. -2*t*(t - 1)**2*(t + 711)/13 Solve 3*x**5 + 13731*x**4 + 15732282*x**3 + 47114490*x**2 + 47087043*x + 15691107 = 0. -2287, -1 Let 5*x**2 + 1335*x - 1340 = 0. Calculate x. -268, 1 Determine j, given that -2*j**5 + 318*j**4/7 + 834*j**3/7 - 838*j**2/7 - 300*j/7
{ "pile_set_name": "DM Mathematics" }
- 2*s) - 2 + s**3 + 2. -s**3 + 510*s**2 Expand (-3*x + 6*x + 4*x)*(0*x + 0*x + 2*x**2) + 2*x**3 + 2*x**3 - 5*x**3 + (-2*x**3 + x**3 - x**3)*(5 - 3 - 1) - 3*x**3 - 2 + 2. 8*x**3 Expand (0 - 2 + 1)*(-229*l**5 + 144*l**2 - 144*l**2) + 4*l**4 + l**5 - 4*l**4 + (3*l**3 + 2*l**3 - 6*l**3)*(-5*l**2 + 2*l**2 + 2*l**2). 231*l**5 Expand (-2*p + 4*p - 3*p)*(p - 3 + 3) + (-3 + 4 + 1)*(-3 + 3 - p**2) - 1 + p**2 - 3*p**2 + 3. -5*p**2 + 2 Expand (-3*m**2 - 4 + 4 + 2*m + 2*m**2 - 2*m + (2 + 0 - 4)*(-2*m**2 - 2*m + 2*m) + (-5*m + 3*m + m)*(-21*m - 24*m + 15*m))*(-2*m + 2 - 2). -66*m**3 Expand (0*u**3 + 2*u**3 - 3*u**3)*(-3379 - 3379 + 10072 - u - 3382). u**4 + 68*u**3 Expand (12040 + 970*q - 12040)*(2*q - q + q). 1940*q**2 Expand d**2 - 3*d + 3*d + (-3*d - 3*d + 5*d)*(4*d - 5*d - d) - 5*d**2 + d**2 + 5*d**2 - 2 + d**2 + 2 + 25*d**2 + 31*d**2 - 19*d**2 + 5*d**2 - 6*d**2 + 0*d**2. 41*d**2 Expand -19*j - 2*j**4 + 2*j**4 + 2*j**4 + j**4 - 2*j**4 + 0*j**4 + (j - 4*j + j)*(-j**3 - j + j). 3*j**4 - 19*j Expand 183 - 183 + 17*y**5 + (4 + y - 4)*(2*y**2 + 5*y - 5*y)*(y**2 - 5*y**2 + 5*y**2). 19*y**5 Expand ((5 + 1 - 1)*(3*r + 3*r - 4*r) + 2*r - 4*r + 4*r)*(-r**2 - r**2 + 0*r**2)*(-1 - 6 + 0). 168*r**3 Expand (-1 + 1 - 2*u)*(-19 + 19 - u**2 + u + 2*u**2 - u + (-40*u**2 + 15*u**2 + 17*u**2)*(0 + 0 + 1)). 14*u**3 Expand (-68*k - 5119 + 5119)*(k**2 - k**2 - 2*k**2). 136*k**3 Expand -3*m + 5*m - m + (3 - 3 + 3*m)*(-3 + 2 + 13). 37*m Expand (-i + 4*i - 4*i)*(1 - 2 + 2) - i + 2*i + i - 9*i + 22*i - 10*i - 1. 4*i - 1 Expand (-z**3 - 6 - 2*z**4 + 6)*(18*z + 10*z - 5*z). -46*z**5 - 23*z**4 Expand (0*g - g - g)*(3 - 1 - 1) + (2*g - g + g)*(1 + 2 - 2) - 2*g - 3*g + 7*g + 4*g - 4*g - g - g - 3*g + 9*g. 6*g Expand (2*v**3 + 4*v**3 - 5*v**3)*(-126 + 270 + 625). 769*v**3 Expand -3*k**2 + 2*k**2 + 3*k**2 + (3 - 1 + 0)*(-3 - 7 + 4 - 2*k**2). -2*k**2 - 12 Expand (0*i - 2*i + 0*i)*(-1 + 6 - 1) + ((2 + 1 - 1)*(3 - 1 - 4) + 3 + 3 - 8)*(5 - 2*i - 2 + 0). 4*i - 18 Expand (-2*i - i + 2*i)*(1 - 1 - 2)*(-192 + 117 - 170). -490*i Expand (167*b - 54*b - 57*b + (-b + 4*b - b)*(2 + 0 - 1))*(2*b + 1 - 1). 116*b**2 Expand (3*y**4 + y**3 - y**3)*(-16*y - 24*y - 73*y). -339*y**5 Expand (-2 - 1 + 2)*(15*a + 0*a + 27*a)*(-a - a + 6*a). -168*a**2 Expand (-1610*o + 55*o**2 + 1610*o)*(-5*o + o + 5*o) - 3*o**3 - 2*o**3 + 3*o**3. 53*o**3 Expand (0 - 1 + 5)*(-y**4 + 2*y**4 - 2*y**4) + y**4 - 2*y**4 - 2*y**4 + 13*y - 13*y + 8*y**4. y**4 Expand 6*q**4 - 4*q**4 - 3*q**4 + (14*q**3 - 49 + 49)*(-2*q + 12 - 12). -29*q**4 Expand (4*m + 0*m - 6*m)*(-565 - 412 + 92)*(-2 + 5 - 4) - 1 + 2*m + 1. -1768*m Expand (0*h + 4*h**2 + 0*h)*((2*h - 3*h + 0*h)*(-4 - 7 + 15) + 0*h + 2*h - h). -12*h**3 Expand -x**3 + x**3 + 5*x**2 - 2*x**3 - 2*x**3 - 2*x**3 + 5*x**3 - 5*x**3 - 4*x**3 + x**3 + (0*x**2 + 2*x**2 - 3*x**2)*(-3*x + 4*x + 0*x). -10*x**3 + 5*x**2 Expand (-9*s**5 - 3*s**5 + 3*s**5)*(2 - 3 + 8). -63*s**5 Expand (-2 + 2 - m - 8*m)*(-15 + 11*m + 15). -99*m**2 Expand (-2*i**2 - 3*i**3 + 2*i**2)*(4 + 1 - 1)*(1 + 3 - 3) - 4*i**3 - 8*i**3 - 2*i**3. -26*i**3 Expand (-2 - 33 - 18)*(-2 + 5 - 2)*(-6*l**5 - 2*l**5 + 2*l**5). 318*l**5 Expand (-206*s - 3 + 173*s + 2 + (3*s - 4*s + 0*s)*(0 + 0 + 1))*(2*s**2 + 1 - 1). -68*s**3 - 2*s**2 Expand (2 - 2 - 2*s)*(s + 0*s - 2*s)*(4 - 3 - 3) + (-51 - 4 - 36)*(-1 + 1 + 5*s**2). -459*s**2 Expand -2*m**5 + 4*m**2 - 4*m**2 + (-7*m**2 - m**2 + m**2)*(31*m**3 - 26*m**3 - 27*m**3). 152*m**5 Expand (4*a + 20*a**3 - 6*a**3 - 7*a**3)*(13 - 2*a**2 - 13 + (-6 + 1 + 3)*(-3*a**2 + 4*a**2 + 2*a**2)). -56*a**5 - 32*a**3 Expand (0*j**3 + 0*j**3 + j**3)*(120*j - 6*j + 134*j - 64*j). 184*j**4 Expand (3 - 2 - 4)*(2 + 5 + 4)*(-3 + 2 - 1)*(5*z**5 + 0*z**5 - 3*z**5). 132*z**5 Expand -2*y**3 + 2*y**3 + 3*y**3 - 38*y**3 + 13*y**3 + 42*y**3 - 4*y**3 + 3*y**3 + 0*y**3 + (3*y - y + 0*y)*(-2*y + y**2 + 2*y). 21*y**3 Expand (-8*o - 3*o**3 + 8*o)*(o + 4*o - o). -12*o**4 Expand (878 - 330*n - 878)*(-2*n + 2*n + 2*n). -660*n**2 Expand 0 + 0 - w**4 + (3 - 6 + 4)*(-6*w**4 + 3*w**4 + 2*w**4) - 19*w**2 - 96 + 96 - 4*w**4. -6*w**4 - 19*w**2 Expand 19*s**2 - 17*s**2 + 20*s**2 + (-1 - s + 1)*(2*s - 2*s - s) - 5*s**2 - s**2 + 0*s**2. 17*s**2 Expand (10*g**2 + 47*g**2 + 74*g**2)*(3*g**2 + g**3 - 3*g**2) + 4*g**5 - 3*g**5 + g**5 + (g - 4 + 4)*(-g**4 + 4*g**4 - 2*g**4) - g**5 + 0*g**5 + 3*g**5. 136*g**5 Expand (a**3 + 3 - 3)*(3 + a**2 - 3) - 3*a**5 - a**5 + 2*a**5 + 0*a**5 + 3*a**5 - a**5 - 145*a**5 - 188*a**5 + a**5. -331*a**5 Expand (-2673*o**2 + 490*o**3 + 2673*o**2)*(2*o**2 - 3*o**2 - o**2). -980*o**5 Expand (-3*l + 4*l - 2*l)*(446*l + 2 - 446*l - 43*l**4) + (l**5 - 2*l**3 + 2*l**3)*(0 + 2 - 3). 42*l**5 - 2*l Expand (-2*y**3 - y**3 + 2*y**3)*(104 + 240 + 15) + 0*y**3 + y**3 + 0*y**3. -358*y**3 Expand (-j - 3*j + 6*j)*(-j**3 - 3*j**3 + 2*j**3) - j**3 + 2*j**4 + j**3 + 5*j**4 + 2*j**3 - 2*j**3 + 3*j**4 + 6*j**3 - 6*j**3. 6*j**4 Expand (k + 10*k + 15*k)*(-13*k + 28 - 28) + 2*k + k**2 - 2*k. -337*k**2 Expand (-1 + 1 - 2)*(-334*h + 496*h - 290*h) + 2*h - 6*h + 5*h - 2*h + 3*h + h + (-h + 2*h - 2*h)*(1 - 3 + 1). 260*h Expand 18*n**4 - 13*n**3 + 13*n**3 + (-4*n**3 - n**3 + 3*n**3)*(-43*n + 86*n + 0*n). -68*n**4 Expand (1 + 4*d + 0*d - 3*d)*(-5 + d**4 + 5) - 24*d**2 + 24*d**2 + d**5 + d**5 - 3*d**5 + 4*d**5 + (4*d**4 - d**4 - d**4)*(0 + d + 0). 6*d**5 + d**4 Expand (-3*h - 6*h + 0*h)*(1 - 4 - 1)*(16 + h**3 - 16) + 2*h**3 - 2*h**3 + h**2 + h**4. 37*h**4 + h**2 Expand (0*h**3 + h**4 + 0*h**3)*(-2*h + 4*h - 4*h) - 11*h**5 + 10*h**5 + 4*h**5 - 6*h**5 + 8*h**5 + 6*h**4 + h**4. 3*h**5 + 7*h**4 Expand -3*r**2 + 3*r**2 - r**3 + (-r - 3*r + 6*r)*(3*r**2 - r - 14*r**2 + 6*r**2). -11*r**3 - 2*r**2 Expand (-a + 4*a - 14*a)*(-2 + 0 + 0)*(-2*a + 5*a - a). 44*a**2 Expand (0*b**3 + b**3 + 0*b**3)*(-21 + 2 + 2*b - 7)*(-3 + 5 - 3). -2*b**4 + 26*b**3 Expand (2*y**3 - 242*y**4 + 4478*y**2 - 4478*y**2)*(-2 + 3 + 0). -242*y**4 + 2*y**3 Expand (-1 - 2 + 5)*(-171*w + 79*w + 34*w) + 0*w + w - 2*w. -117*w Expand (-k**2 + 3*k**2 - 18*k**2 + (3*k + 10*k - 5*k)*(-k - 4*k + 3*k))*(2*k - 3*k + 3*k). -64*k**3 Expand (-r**3 + 0*r**3 + 0*r**3)*(-2*r + 0*r + 4*r) + (2*r - 13*r + r)*(1 + r - 1)*(4*r**2 - r**2 - r**2)*(0 + 2 + 1). -62*r**4 Expand (-2*l + 3*l + l)*(3 - 22 - 21)*(-l + 4*l - 4*l). 80*l**2 Expand 5*s - 3*s - s + (4 - 2 - 4)*(0 + 0 - 2*s) - 2 + 2*s + 2 + 2*s - s - 2*s + 1 + s - 1 - 28*s + 24*s + 0 - 1. 3*s - 1 Expand (3*m + m - 2*m + (-3*m + m + m)*(3 - 4 + 9) - 2*m - 2*m + 2*m)*(2 - 2 - 2). 16*m Expand (-5 + 4 + 3)*(h + 3*h + 2*h) + 5*h - 5*h + 12*h. 24*h Expand 6*o**3 - o**3 + 2*o**3 + (0*o - 4*o + 2*o)*(o**2 - o + o) - 2*o**3 + 4*o**3 - 3*o**3 + (2*o**2 - 3*o**2 + 2*o**2)*(o + 3*o - 3*o). 5*o**3 Expand 4*b**4 - 2*b**4 - 3*b**4 + (4*b + 0*b - 6*b)*(-2*b**3 + b**3 + 0*b**3) + 1 - 8*b**4 - 1. -7*b**4 Expand 5*s**3 - 3*s**3 - s**3 + (-2*s + 2*s + 3*s)*(3*s**2 - 3*s**2 - 2*s**2) - 2 + 2 - 4*s**3. -9*s**3 Expand (-4 + c + 4)*(c - 4*c + 4*c) - 234*c**2 + c + 274*c**2 + c. 41*c**2 + 2*c Expand ((3*n**3 - 2*n**3 + 0*n**3)*(2 - 2 - 1) + 2*n**3 - n**3 - 3*n**3)*(-11 + 88 - 441). 1092*n**3 Expand (0*a - 9 + 2*a + 5)*(-28*a**3 + 16*a**3 - 17*a**3). -58*a**4 + 116*a**3 Expand (-20 + 16 + 64)*(o - 3*o + 0*o). -120*o Expand d**2 - 5*d**2 + 0*d**2 - d**2 - 2*d**2 + 2*d**2 + (-6 + 2*d + 6)*(0*d - 2*d + d) + 4*d**2 + 6 - 6. -3*d**2 Expand (2*i**3 + 263 - 117 - 127 - 3*i)*(3 - 2 - 2). -2*i**3 + 3*i - 19 Expand (-41*x + 14*x - 112*x)*(x**3 - 2*x**3 + 0*x**2 + 2*x**2). 139*x**4 - 278*x**3 Expand (-6*z**3 - 2*z**5 + 6*z**3 + (5 - 3 - 4)*(2*z**2 - 2*z**2 - 2*z**5) + 5*z**5 - 4*z**5 + z**5)*(-1 - 1 + 5 + (3 - 4 + 3)*(4 - 4 - 2) + 178 + 285 - 287). 700*z**5 Expand (2*t - 2*t + t**2)*(t**3 - t**3 + t**3) + 31*t**5 - 30*t**2 - 3*t**3 + 32*t**5 - 65*t**5. -t**5 - 3*t**3 - 30*t**2 Expand (h - 6*h + 3*h)*(1 + 1 - 3)*(3*h - 6 - h + 0*h)*(-h - 10*h**3 + h). -40*h**5 + 120*h**4 Expand (-684*l**3 + 50*l**4 + 684*l**3 + (-2*l + 0 + 0)*(-l**3 + 0*l**3 - l**3))*(-2*l - 19 + 37 - 24). -108*l**5 - 324*l**4 Expand (5 - 2 - 2)*(-3*s**4 + 2*s**4 - 3*s**4) + 21*s**4 + 6*s - 16*s + 9*s. 17*s**4 - s Expand (-2*y + 4*y - y)*(0*y + 0*y - 2*y) - 2*y**2 + 3*y**2 + 0*y**2 + (-1 + 1 + y)*(2*y - 2*y - 2*y) - 8*y**2 + 33*y**2 + 20*y**2. 42*y**2 Expand k**4 - 12*k**4 - 21*k**4 + (0*k + 0*k - k**4)*(2 - 4 + 0) - k**4
{ "pile_set_name": "DM Mathematics" }
, 3*r + 22 = -u + 63. Let f = 157 - u. What is the units digit of f? 5 Let n = -2316 - -3532. What is the thousands digit of n? 1 Let s(w) = -13*w**3 + 11*w**2 + 6*w + 35. What is the tens digit of s(-7)? 9 Let k(r) = 2*r**2 - 19*r + 7*r**2 + 8*r**2 - 6 - 18*r**2. What is the tens digit of k(-15)? 5 Let f(z) = -25*z + 23. Let s be 14/8*-8*8/16. What is the tens digit of f(s)? 9 Suppose 76*a - 166011 - 128489 = 0. What is the thousands digit of a? 3 Let t(j) = 34. Let c(b) = -b + 67. Let k(n) = -2*c(n) + 5*t(n). Let z be k(-16). Suppose -w = -3*y - 27, 5*y + 68 = z*w + 3*y. What is the tens digit of w? 1 Suppose 5*j - 8024 = -2*m, -2*m - j = -5680 - 2360. What is the thousands digit of m? 4 Suppose -69 = -0*o - o + 3*a, -o + 2*a + 74 = 0. Let v = o + 13. What is the tens digit of v? 9 Suppose -y - 6*s + s + 44 = 0, -5*s = -5*y + 100. Suppose -56 - y = -4*v. Suppose -v = -k + 16. What is the tens digit of k? 3 Suppose -j = 1 - 6. Suppose 50 = j*z + 10. What is the units digit of 45/6 + (-4)/z? 7 Let l(f) = 7*f**2 + 28*f - 124. What is the hundreds digit of l(15)? 8 Suppose -64*n + 114150 - 32742 = 0. What is the thousands digit of n? 1 Suppose -5*b - 160 + 175 = 0. Let c = 267 + -7. Suppose -l = b*l - c. What is the units digit of l? 5 Suppose 17*j = 27*j - 430. What is the tens digit of j? 4 Let s = 132 - 74. Suppose 2*h - 2*r = 46, -3*h + s - 5 = r. What is the tens digit of h? 1 Suppose -1239*l + 346 = -1238*l. What is the units digit of l? 6 Suppose 288 = 5*w - 52. Let o = -4 + w. What is the units digit of o? 4 Let g(j) = 28*j**2 + 38*j - 2. What is the tens digit of g(-5)? 0 Let d be -2 + -2*(4 + -6). Let t = 57 - 15. Suppose -k - d*m = k - t, -78 = -4*k - 2*m. What is the tens digit of k? 1 Suppose c = -2*a - 4*c + 13, 2*c = 3*a - 10. Suppose 0 = a*j - 53 + 145. What is the units digit of j/(-3) - 2/3? 7 Let t(d) = d + 62. Let c(b) = -4*b - 247. Let r(a) = 6*c(a) + 22*t(a). Let u(v) = -v - 39. Let z(l) = 2*r(l) - 7*u(l). What is the tens digit of z(0)? 3 Let q(n) = -4*n**2 - n + 2. Let r be q(-2). Let w be ((-2)/(-6))/(1/r). What is the units digit of (-1)/w + (-309)/(-12)? 6 Suppose -4*d + 8*d = -480. Let j be 1*d/(-2 - 0). Suppose -v = 4*v - j. What is the tens digit of v? 1 Suppose 2*a = 3*m + 7*a + 5, 3*m = a + 1. Suppose 2*z - 5*j + 24 = 0, m*z + z = 3*j - 10. Let r = -18 - z. What is the units digit of r? 4 Suppose -7*b = -4*c - 3*b + 72, -2*b = 2*c - 16. Let p(u) = u**3 + 7*u**2 + 3*u - 11. Let r be p(-3). Let a = c + r. What is the tens digit of a? 2 Let n(d) = d**2 - 4*d - 8. Let r be n(6). Suppose -3*a + r*a + 3 = 0. Let m(o) = -4*o - 1. What is the units digit of m(a)? 1 Suppose 34 = 4*p - 2*h + h, -h = 3*p - 29. Suppose 0*k - 45 = -p*k. What is the units digit of k? 5 Suppose 54*f - 49640 = 34*f. What is the tens digit of f? 8 Let x(i) = 7*i**2 - 9*i - 13. Let c(r) = 13*r**2 - 17*r - 25. Let y(f) = -6*c(f) + 11*x(f). Let b be y(0). Suppose 8*w - 18 = b*w. What is the units digit of w? 8 Suppose -3*s + 4*o + 1477 = 8*o, -4*s = 5*o - 1971. What is the units digit of s? 9 Let z(g) = 6*g**2 + 128*g + 75. What is the tens digit of z(-30)? 3 Let d(c) = 840*c - 7. What is the units digit of d(1)? 3 Let y(j) = -2*j - 23. Suppose -4*w = -4*z + 2*z - 36, -5*z = 5*w + 45. What is the units digit of y(z)? 1 What is the tens digit of 2/(3/4950*4)? 2 Suppose -8 - 4 = 4*a. Let i(v) = v**2 + 5*v + 2. Let x be i(a). What is the units digit of (-29)/(-2) - 2/x? 5 Let c = 18 + -54. Let y = 95 + c. What is the units digit of y? 9 Let d(m) = 3*m**3 - 3*m**2 - 12*m + 23. Let u(q) = -17*q - 29. Let n be u(-2). What is the hundreds digit of d(n)? 2 Let g be (-26)/(-7) - 12/(-42). Suppose -2*f - 70 = -g*f. What is the units digit of (3 - 3) + 4 + f? 9 Let o = -172 + 291. Let z be (-8)/(-52) + o/(-13). Let v = 14 + z. What is the units digit of v? 5 Let h(m) = -m**3 + 13*m**2 + 14*m + 2. Let g be h(14). Suppose w - g*v - 3*v - 78 = 0, 4*v = 5*w - 285. What is the units digit of w? 3 Suppose -5*j - 4*g = -4*j + 27, -10 = 2*g. Let r be (-3*1)/((-7)/j). Let o(h) = -h**3 - 3*h**2 + 4. What is the units digit of o(r)? 4 Suppose -7*s + 24 = -11*s. Let m(o) = -14*o + 21. What is the tens digit of m(s)? 0 Let d be (1/(3/(-534)))/(-2). Suppose -d = -2*z - i, 14 = -5*i - 1. What is the units digit of z? 6 Let r = 4 + -3. Let h be (-3)/(r/(-2 + -15)). Let y = h + -18. What is the units digit of y? 3 Let x(v) = 49*v + 61. What is the hundreds digit of x(15)? 7 What is the thousands digit of 30962/26 - 142/(-923)? 1 Let b = 554 + 210. What is the hundreds digit of b? 7 Let w = -448 + 799. Suppose -6*s = -1095 + w. What is the units digit of s? 4 Suppose 47*j + j - 161040 = 0. What is the hundreds digit of j? 3 Let m be ((-12)/(-40)*12)/((-1)/(-35)). Suppose 2*z - m = q, -2*q - 2 = -q. What is the tens digit of z? 6 Let o(j) = 11*j + 19. Let c be o(-7). Let q be 46/(-6) + (-2)/(-3). What is the units digit of c/(-10) - q/35? 6 What is the units digit of (0 - -1248) + 4 + 3? 5 What is the units digit of (-826)/6*(-2 - 19)/7? 3 Let a(o) = o**2 - 4*o + 3. Let b be a(4). Let g = -24 + 28. Suppose -b*m - g = -1, 2*m = -i + 18. What is the units digit of i? 0 Let m(v) = -81*v + 32. What is the tens digit of m(-4)? 5 Let q(t) = t**2 + 9*t + 12. Let s(g) = g**2 + 7*g. Let z be s(-5). What is the tens digit of q(z)? 2 Let w be -2 + 7 + -3 + (2 - 0). Suppose o - 792 + 231 = -4*p, -536 = -w*p + 4*o. What is the hundreds digit of p? 1 Suppose 0 = -4*q - 4*f, 4*q = -5*f - 3 - 2. Suppose -q*u = -2*u - 60. Suppose z - u = -z. What is the units digit of z? 0 What is the tens digit of 6 + -5 - 1580/(-2)? 9 What is the hundreds digit of 1601/4*(12 - (-5 + 13))? 6 Suppose -28 = -2*c + 5*x + 13, c = -3*x + 4. Suppose 8*i + 20 = c*i. What is the units digit of i? 4 Suppose 6*a + 7 - 13 = 0. What is the units digit of (-231)/(-14) + a/(-2)? 6 What is the units digit of ((-30)/12 + 6)/((-3)/(-1998))? 1 Let k(u) = u**3 + 9*u**2 + 2*u + 10. Let d be k(-9). Let g be (-147)/(-28) - (-2)/d. What is the tens digit of 1/g - 104/(-5)? 2 Let n = 50 - 20. Let r = 137 - 134. Suppose -r*q = 2*w - n, -w + 4*q = 2*w - 11. What is the units digit of w? 9 Let y = -2619 - -3790. What is the units digit of y? 1 What is the units digit of ((-2)/5)/((5/(-3400))/1)? 2 What is the tens digit of 1 + 419 - (-11 - (-22 + 11))? 2 Let v(g) = -149*g - 72. What is the tens digit of v(-7)? 7 Suppose 1392 - 12627 = -21*z. What is the units digit of z? 5 Suppose 2 = 5*m - 18. Suppose 0 = m*c + 4*z - 216, -2*c + 2*z = -139 + 43. Let i = 104 - c. What is the units digit of i? 3 Suppose -76 = t + t. Let w = 147 + t. Let i = -77 + w. What is the tens digit of i? 3 Suppose -14 = 10*c + 36. What is the hundreds digit of (8/(-2))/(c/255) - -3? 2 Let r(y) = -7*y**2 + 4*y**2 + 7*y**2 + 10 - 5*y**2 + 14*y. Suppose 0 = 2*t - 46 + 18. What is the tens digit of r(t)? 1 Suppose 4*m = -3*h + 5816, -8*m + h = -7*m - 1454. What is the tens digit of m? 5 Suppose -8*x + 4347 + 2613 = 0. What is the hundreds digit of x? 8 Suppose -3*m = 2*q - 3672 + 555, 0 = m + 3*q - 1039. What is the thousands digit of m? 1 Let f = 297 - 207. Let v = f - 59. Suppose -v = l - 2*l. What is the units digit of l? 1 Suppose 5*c + 2*h = 7*c - 706, c - 345 = -3*h. What is the tens digit of c? 5 Suppose -5*w + 17 = -x - 1, 2*x - 12 = -2*w. Let c(v) = -x*v - 25 + 50 - 11. What is the tens digit of c(-6)? 2 Let h(z) = z**3 - 4*z**2 + 2*z - 6. Let k be h(4). Let s be (-1 - -1) + (2 + -4 - -5). Suppose -75 = -s*r - k*r. What is the units digit of r? 5 Let a = 1064 + -278. What is the units digit of a? 6 Let b be 1 - (-6 + 3 + -5). Suppose 6*x = 21 + b. Suppose -2*p = 3*l + p - 198, 0 = -x*l + 3*p + 362. What is the tens digit of l? 7 Suppose 4*n = 4, -2*c + 59 = -0*c + 3*n. Suppose 3*j - 76 = -c. What is the units digit of j? 6 Let f = -848 - -4203. What is the tens digit of f? 5 Suppose -a + 2*f + 2453 = -404, -4*f + 8 = 0. What is the hundreds digit of a? 8 Suppose 11 + 109 = -5*t + 5*z, 0 = -t - 4*z - 4. Let q be t/20 + 1*5. What is the units digit of 63/q + (-15)/20? 5 Suppose -173*j = -5*d - 172*j + 12174, 0 = 4*d - 4*j - 9752. What is the tens digit of d? 3 Let s be 6/21 + (-104)/(-28). Suppose -6 = -s*p + 6. What is the units digit of (0 + p)/((-3)/(-6))
{ "pile_set_name": "DM Mathematics" }
(-8)/(-168). Put -2/43, -3, -0.2, q in ascending order. -3, q, -0.2, -2/43 Let w be 80/(-200) - -2*23/40. Sort w, 2/3, 30, -0.3. -0.3, 2/3, w, 30 Suppose 17*l - 55 = 6*l. Suppose v = -0*i - 3*i + 10, -3*i + 5*v = -4. Sort -29, i, 2, l in increasing order. -29, 2, i, l Let c = 42 - 37. Suppose -4*y - f = 1, y + 4*y = -f. Sort c, -4, y, 3. -4, y, 3, c Let g = -1452/7 + 1450/7. Put -4/11, g, 0, -1 in descending order. 0, g, -4/11, -1 Suppose 16*d - 59 = 133. Put d, 4, 24 in descending order. 24, d, 4 Let f be 21 + -19 - 290/6. Let y = f + 47. Sort -1, y, 1/7 in increasing order. -1, 1/7, y Let b(u) = 5*u. Let i be b(-1). Suppose 271*w - 2824 = -927. Suppose -6*p + 25 = -5*z - p, 4*z + 5*p - 25 = 0. Sort z, i, w in decreasing order. w, z, i Let c = 0 - 2. Let o be 6/(-12) + (-11)/(-2). Suppose o*z = -j + 2*z - 15, 63 = -5*j - 3*z. Sort j, -1, c. j, c, -1 Let d = -755.29 - -755. Sort -2/5, 4, d, -1/8 in decreasing order. 4, -1/8, d, -2/5 Let v be ((-88)/(-110))/((-2)/(-5)). Let d be (12/18)/(v/(-6)). Let c(r) = -4*r**3 - 2*r**2 + 2*r - 1. Let q be c(1). Sort q, d, -3. q, -3, d Suppose 2*o + 2*y = 384, -4*o - 5*y + 687 + 81 = 0. Let j = 191 - o. Let b(p) = -p**2 - p + 1. Let a be b(-3). Sort -2, j, a in decreasing order. j, -2, a Let i be 46*(-3)/6 + 5. Let h = -16 - i. Put h, -4, 0 in descending order. h, 0, -4 Let l = 129.1 + -124. Let u = -2.2 + l. Let n = u - 1.9. Sort -1/3, -3, n in increasing order. -3, -1/3, n Suppose 65*u + 4 = 66*u. Let y = 6 - 5.8. Sort 5, y, 3/2, u in descending order. 5, u, 3/2, y Let x be (-5 + 7)*(1 - 4/8). Let q(d) = d**2 - 6*d + 6. Let s be q(4). Let b(c) = c**2 - c. Let y be b(2). Sort s, x, y in descending order. y, x, s Let g = 1.5203 - 0.1103. Put 0.4, -1, g, 5 in descending order. 5, g, 0.4, -1 Let u(v) = v**3 - 16*v**2 + 29*v - 1. Let l be u(14). Put l, 3, -4 in descending order. l, 3, -4 Let a(p) = -2*p - 17. Let f be a(-6). Let h(k) = -k**2 + k + 1. Let o be h(-1). Put -4, 4, f, o in increasing order. f, -4, o, 4 Let v be (3 - (-589)/(-195))/(5/200). Let m = v + 2/13. Put m, -2/19, 3 in increasing order. m, -2/19, 3 Let a be (-1)/(527/68 - 4*2). Suppose -2*q - 20 = 3*q. Sort q, -1, 3, a in decreasing order. a, 3, -1, q Let j be 2/4*(-9 - (-11 + -4)). Sort -3, 19, j in decreasing order. 19, j, -3 Let z be ((-21)/7)/(0 - -1). Let s = 13.9 - 14. Let u = s + 0.1. Sort z, 0.3, u. z, u, 0.3 Suppose 4*l = 2*h + 24, 0 = h + 22*l - 17*l - 16. Let u(g) be the first derivative of -g**2/2 - 1. Let f be u(0). Put f, -3, h in descending order. f, -3, h Let h = 11.3 + -12.3. Let g = -4 - -4.11. Put -4, g, h in decreasing order. g, h, -4 Let i = 30594 - 213309/7. Let l = i + -121. Sort 1/4, 0.3, l, 5 in decreasing order. 5, 0.3, l, 1/4 Suppose -2*n + h - 33 = -5*n, 0 = 5*n - h - 63. Suppose 3*r - n = -2*a, 0*r = 5*r - 20. Put 4, a, -4 in decreasing order. 4, a, -4 Suppose -4*z - 18 = -3*n, 0 = -z - n - 1 - 7. Let v = -117 + 114. Sort v, z, -5. z, -5, v Let z = 40/7 + -50/21. Sort 0, 2, z in ascending order. 0, 2, z Let j = -251.8 + 250. Sort -16, -1/6, j in decreasing order. -1/6, j, -16 Let n = 60 - 33. Let h be (4 - 1) + n/(-9). Suppose h = -a - a. Put -3/4, 1, a in increasing order. -3/4, a, 1 Let i = -219 + 218. Sort 6, i, 0.06, 4. i, 0.06, 4, 6 Let x(g) = g**2 - 2*g - 4. Let j be x(5). Suppose -15 = j*i - 10*i. Let o = i + 10. Put 0, 3, o in descending order. 3, 0, o Let x = -4 + 4.3. Suppose -6*i + 417 - 405 = 0. Sort i, -4, x in increasing order. -4, x, i Let l be ((-360)/162)/(6/(-27)). Let q(y) = y**2 - y - 4. Let d be q(3). Put 3/2, l, d in ascending order. 3/2, d, l Let a = 1.502 - 0.112. Let h = 1.19 - a. Sort -1/6, 0.05, h in decreasing order. 0.05, -1/6, h Let o be (-5)/(-1 - (0 - 0)). Let k = 2.51 - 2.51. Put o, k, 1/8, -0.1 in descending order. o, 1/8, k, -0.1 Let c = -5.533 - -4.59. Sort -1, 4, c in increasing order. -1, c, 4 Let f = -914 + 917. Suppose 0 = 5*o - 18 - 7. Sort o, -5, f in descending order. o, f, -5 Let u be ((-9)/4*-1)/(3/(-12)). Let p(k) = 2*k**2 + 16*k + 4. Let s be p(u). Put s, -3, 4 in increasing order. -3, 4, s Suppose -4*g = -51 - 509. Suppose p = 42 + g. Let y = 2728/15 - p. Sort 2, y, 2/9 in decreasing order. 2, 2/9, y Suppose -5*d + 1 = -4*o + 3, -4*d + 4*o = 4. Suppose -d*y - 5 - 1 = 0. Let a be 0/(3/1) - y. Put 5, -3, a in ascending order. -3, a, 5 Let v = -5 + 9. Let a = 421 + -421.2. Let o = -0.2 - 2.8. Put v, o, a in decreasing order. v, a, o Suppose -4*b - 2*q + 24 = 2*q, 5*q = 20. Suppose 2*l = l - b. Sort -5, 0, l in ascending order. -5, l, 0 Let a(t) = t**3 + 8*t**2 - 8*t - 124. Let j be a(-6). Put -2, j, 0.0323 in decreasing order. 0.0323, -2, j Let s = 429 + -428.8. Sort 67, 0.3, s in descending order. 67, 0.3, s Let t(h) = h**2 + 2*h - 5. Let z be t(-4). Let u = 41 - 33. Suppose 3 - u = f. Sort 5, z, f in descending order. 5, z, f Let i(b) = 2*b**3 + 54*b**2 + 50*b + 34. Let m be i(-26). Sort 7, -1, m in decreasing order. m, 7, -1 Let n = 1.753 - 1.453. Sort -4, 0.01, n in increasing order. -4, 0.01, n Let s = 46 + -63. Let f be (-18)/5 + 21/35 - -5. Sort f, 0, s in increasing order. s, 0, f Let f be -2 + 9 + ((-6)/3)/(-4). Sort f, -0.3, -4/11 in decreasing order. f, -0.3, -4/11 Let l = -1 + 2. Let k(d) = d**3 + 7*d**2 + 8. Let c be k(-7). Let y = -8 + c. Sort -6, l, y in descending order. l, y, -6 Let d = 9 - 6. Suppose 4*x + 2*y = -4, 0 = -4*x + d*y + 2 + 4. Put -3, 10, x in descending order. 10, x, -3 Let z = -1.0395 - -0.0395. Put -3, 1/2, 0.3, z in decreasing order. 1/2, 0.3, z, -3 Let a = 725 + -725.1. Let m be 0 + 2 + (-14)/6. Put m, -1, -5, a in increasing order. -5, -1, m, a Let u = 0 - -1. Suppose 4*n + 20 = -b, -14*n = 3*b - 11*n + 24. Put u, b, 2, 0 in decreasing order. 2, u, 0, b Let z = -1206 - -1205.5. Sort -63, 1/4, z in descending order. 1/4, z, -63 Let p = 2109 + -2109. Sort 6, p, -4, 4. -4, p, 4, 6 Let x = -33.09 + 4.39. Let a = x - -29. Sort -3, -1.3, a in increasing order. -3, -1.3, a Suppose -3*u + 10 = -3*c + 5*c, -5 = 5*c. Let a(d) = 19*d + 613. Let r be a(-32). Sort -5, u, r, -3 in descending order. r, u, -3, -5 Suppose 4*d - 181 + 201 = 0. Let f(v) = -v**2 + 6*v - 6. Let b be f(5). Sort b, d, -4. d, -4, b Suppose 3 + 0 = -3*r, -w - 2*r = 5. Let j be (w + 1)*-1 - 0. Let a(c) = c**2 + 1. Let p be a(j). Put 14, -4, p in decreasing order. 14, p, -4 Let w = -0.237 + 0.537. Sort 0.4, w, -1/4, -5 in descending order. 0.4, w, -1/4, -5 Let m be (14/35)/((-36)/(-20)). Sort -1, m, -0.2 in decreasing order. m, -0.2, -1 Let t(o) = 8*o + 91. Let q be t(-12). Sort 3, -3, 11, q in decreasing order. 11, 3, -3, q Suppose 21*r = 3*n + 16*r + 5, 2 = 2*n + 2*r. Sort -2, 3, n, -1 in descending order. 3, n, -1, -2 Let k = -0.8 - 0.2. Let c = -2020/3021 + 2/1007. Let j be 2*1/6*9. Put j, k, c in descending order. j, c, k Let i = -1464 - -1473. Put 2/3, 2, 5, i in decreasing order. i, 5, 2, 2/3 Let f(k) = -3*k - 2. Let l be f(1). Let b(u) = -u - 10. Let g be b(l). Sort g, 3, 0. g, 0, 3 Let b be ((-14067)/36)/(3*-1). Let u = 131 - b. Sort 5, u, 2/21. 2/21, u, 5 Let m(u) = u**3 - 2*u**2 + 5*u - 3. Let o be m(3). Suppose -12*k = -5*k + o. Suppose 3*j + 8 = j. Put 5, j, k in descending order. 5, k, j Suppose a = -x + 3*x + 1, 3*x = a - 4. Let r = 51.89 - 51.79. Sort r, 2, 3, a in decreasing order. 3, 2, r, a Let o = -1/144 + -53/144. Let h be (3 - 0)*(-7)/((-42)/(-8)). Put h, o, -0.1, 3 in ascending order. h, o, -0.1, 3 Let h(m) = -6*m + 13. Let t(b) = -13*b + 27. Let c(v) = -7*h(v) + 3*t(v). Let q be c(5). Put 1, 14, q, 4 in descending order. 14, q, 4, 1 Let s(k) be the second derivative of k**3/3 + 11*k**2/2 + 72*k. Let m be (-2)/(-4) + 39/(-6). Let j be s(m). Sort 2, j, -2 in increasing order. -2, j, 2 Suppose 11*u + 6*u = 13*u. Sort 2, -1, u, -3 in decreasing order. 2, u, -1, -3 Let o be 180/(96/(-8))*1. Sort -32, 4, o in descending order. 4, o, -32 Let p = 0.0469 - -8.9531. Sort -2, p, 0.2, 4. -2, 0.2, 4, p Let t(g) = -2*g**2 + 7*g. Let w(r) = r**2 - 4*r. Let v(u) = -4*t(u) - 7*w(u). Let f be 3/(-9) + (-15)/9. Let m be v(f). Put -1, m, 0 in descending order. m, 0, -1 Let y be 3/(3*(-9)/(-423)). Sort 2, -5, y in decreasing order. y, 2, -5 Let w = -5/89 + 164/1335. Sort 5, -5, w. -5, w, 5 Let o = -151 + 151. Put -1, -18, 2, o in descending order. 2, o, -1, -18 Let m
{ "pile_set_name": "DM Mathematics" }
3*j - 7. Let a = 195 - 200. Let n be o(a). Solve -2*v + r = 0, n*r - 6 = -2*v + r for v. 1 Let l = -414 + 391. Let k(m) = m**3 + 22*m**2 - 21*m + 46. Let c be k(l). Solve c = -x + 5*r + 10, 8 = 3*x - 8*r + 4*r for x. 0 Suppose 102 = 5*q + 181*x - 178*x, -17 = -q - 4*x. Solve 3*f - 5*b - q = 19, -4*f = 4*b for f. 5 Let z = -52 + 33. Suppose 1995 = -179*n + 144*n. Let r be (z/n)/(2/18). Solve 3*h = r*q + 3, -h = -q - 4*h + 7 for q. 1 Let n(o) = -o + 3. Let g(f) = f**3 - 12*f**2 + f - 9. Let s be g(12). Let j be n(s). Solve -5*i = -y + 19, j = 2*i - 0*y - y + 10 for i. -3 Let w be (-5)/60 + (-803)/(-132). Solve -b + t = -3 + w, 0 = 5*b - 4*t + 13 for b. -1 Let g be (-72)/28 + (-1443)/(-259). Solve g*p = 7*m + 32, -36*p - 9 = 2*m - 37*p for m. -5 Suppose 211 - 231 = -2*p. Suppose -5*r + 5*o = p, -23*r + 2*o - 4 = -18*r. Solve -3*d + 2*k + 3*k + 17 = r, 4*d - 17 = k for d. 4 Let z be (-32)/((-18)/9) - (-3)/(-3). Solve -2*g - 3 = -y, 5*y + 13*g - 14*g = z for y. 3 Let n(o) = -7*o**3 + 211*o + 209. Let w be n(-1). Solve 5*j - 5*a = 20, -w*j = 2*a - a + 10 for j. -1 Let d be 304 - (5 + -4 - 2). Let n = d - 300. Solve -b + 2*a = 4*b - n, b - 4*a - 1 = 0 for b. 1 Let w = -3339 - -3344. Solve -4*v - 2 = -2*m, -w*m + 1 = -3*v + 3 for v. -1 Let i = 10 - 4. Let g = 1997 - 1995. Suppose -g = x - i. Solve -26 = -4*h - 2*c, x*c = -3*h + 5*h + 12 for h. 4 Let b be (23 + 8 + -5)/(-2). Let h(c) = c**3 + 14*c**2 + 13*c + 9. Let q be h(b). Solve -n = -5*a + 26, a - 5*n = q + 1 for a. 5 Let w = 177 + -119. Let z = w - 55. Suppose 0 = z*k - 6, 5*k - 9 - 1 = -5*c. Solve -m + 3*b = 3*m + 6, -b + 2 = c for m. 0 Let d be (-105)/(-75) + 114/190. Suppose 5*t - 25 + 5 = 0. Solve 1 = x + x - 3*c, -d*x + 8 = t*c for x. 2 Let o be 2/(-8)*(-30)/6*(-17 - -21). Solve 2*i + 2 + 16 = -5*s, -3*s = -o*i - 14 for i. -4 Let p = 1 + -1. Suppose -3*f = -2*j + 2*f + 43, -2*f = -2*j + 34. Let m be 52/j - 64/(-224). Solve p = m*q, -2*r + 5 = -q - 1 for r. 3 Let r(k) = -2*k + 47 - 1682*k**3 + 7*k + 1681*k**3 + 4*k**2. Let j be r(6). Solve 0 = -4*a - u - 3, -5*u + 31 = 2*a - j*a for a. -2 Let v(a) = -2*a**2 + 40*a - 12. Let b be v(6). Suppose b = 10*k + 126. Solve -2*f + 7 = -3*x, 2*f + 10 = f - k*x for f. -1 Let b(t) = 3*t**2 + 215*t + 814. Let i be b(-4). Solve -2*w - 8 = -0*w + i*f, 0 = f + 8 for w. 4 Let s be 1545/(-225) + (-4)/30. Suppose 132 = 5*y + 97. Let p be (y/s)/(1*1/(-6)). Solve -v + b + 4 = -0*v, p = -2*b for v. 1 Let w(c) = -367*c - 1464. Let s be w(-4). Solve -3*n + s = -5*o, o + n + 12 = 16 for o. 1 Suppose 7*h - 4*h + 6 = 2*p, -p + 3*h = -3. Solve 2*z - 17 = -3*x, p*x - 4 + 3 = 2*z for x. 3 Suppose 25 = 3*m + 1. Let y be ((-5)/(-2))/(4/m). Suppose -4*t + 0 = y*g - 25, 0 = -4*g - 3*t + 19. Solve -2*d + 2 = -3*o, -5*o + 0*d - g = -d for o. 0 Let p = 110 - 108. Let w be (-9)/((-3)/1 + p). Solve -2*k = -j - w, 6*k - 3*k = 15 for j. 1 Let t = -413 - -416. Suppose 1064 - 1052 = t*y. Solve -12 = -y*i, -2*s + 14 = -4*s + 2*i for s. -4 Suppose -5*f + 60 = -5*r, 5*f - 2*r + 310 - 373 = 0. Let j(l) = l - 4. Let w be j(6). Let s = -3 - -5. Solve -v - 5 = -s*a, -w*v - f = -8*a + 3*a for a. 3 Let c = 53 + -21. Let p = -34 + c. Let z be (-65)/(-30) + p/12. Solve z*d - 9 + 1 = 4*h, -3*h - 24 = 3*d for d. -4 Let p be (-9)/(162/(-24))*(-60)/(-16). Let n(y) = -y**3 + 10*y**2 - 26*y + 7. Let j be n(p). Solve 0 = 4*g - j*r + 4, -4*r - 2 = g + g for g. -1 Suppose 0 = -52*v - 45*v - 27*v + 3472. Solve -4*x + 8 + 4 = 0, -5*l + x = v for l. -5 Suppose 2*m - 309*f = -314*f - 19, 5*m + 4*f + 5 = 0. Solve 21*i - 16*i - 2*x = 0, m*x = i for i. 0 Suppose -g = 238*g - 717. Solve -g*l = 6, 4*u + 4*l = l + 2 for u. 2 Suppose 0 = 3*s - 3, 14*s - 29*s + 7 = 3*o - 14*s. Let i(x) = -x**2 + 6*x + 3. Let r be i(6). Solve o*l + 5*g - g = -16, 0 = -r*l + 5*g + 31 for l. 2 Suppose -14 = -4*g + 2*z, -802 = 4*g + 3*z - 811. Solve -3*r + 0*a + g*a - 12 = 0, 0 = -4*a + 4 for r. -3 Let t be (-4)/(-26) - (723/(-117) + (-76)/114). Solve 2*l = 5*b + t + 6, -2*b = -4*l + 2 for l. -1 Let s(o) = -6*o**3 - 97*o**2 - 16*o + 4. Let y be s(-16). Let n be (-2)/3 + 12/18. Suppose -m + 6*m = n. Solve 2*i = -10, m = -0*w + y*w + 5*i + 25 for w. 0 Suppose -3*i = -7*i + 4*n - 24, -3*i = 5*n + 2. Let t be (-1)/(i/(-8)) - -7. Suppose 13*f - 70 = -f. Solve g - 2*z + 7*z = -22, t*g - f = -2*z for g. 3 Let g(l) = 13*l**2 - 8. Let c be g(3). Let r = -107 + c. Let o(a) = a + 4. Let u be o(r). Solve -j - 2*m + u = 0, -j - 12 = -4*j - 4*m for j. 0 Let d(l) = -l**2 - 45*l + 202. Let r be d(-49). Solve -18*q + 21*q = r, 3 = 3*x - 3*q for x. 3 Let m = 51 + -46. Suppose 0 = -3*p - 4*b + 27, 0 = 5*p - 9*b + 5*b - 13. Solve p*s + 4*k + 15 = 0, 0 = 4*s + m*k + 12 - 0 for s. -3 Suppose 4*a - 12*a + 16 = 0. Suppose -12 = -x + a*x. Let r be 5/15 + (-56)/x. Solve 0 = -y + 5*f + 27, 2 + 3 = -r*y - 3*f for y. 2 Let q be -2*21/(-14)*1/(-3). Let y be ((-14)/(-2) + -11)/(2*q). Solve -i + 3 = -2*s + y*i, -3*i = 2*s - 15 for s. 3 Let z(g) = -2*g**3 + 36*g**2 - 22*g - 200. Let f be z(17). Solve -40 + 16 = 4*x - 2*v, -2*x - 3*v = f for x. -5 Suppose -x = -3*c + 4*c - 19, 2*x = 3*c - 67. Suppose -13*u = -c - 5. Let n be ((-1)/(-3))/(u/30). Solve 5*o - 24 = -z, -n*o - z = -3*z - 12 for o. 4 Suppose -3*s - 136 = -20*s. Let b be (32/4)/s*3. Solve y + b = -3*y - 5*r, 9 = -3*r for y. 3 Suppose 9*w - 383 = 319. Suppose f = 83 - w. Solve 0 = 2*y - f*v + 10, 2*y - v - 1 = y for y. 5 Suppose -2*f = -q - f + 26, -3*f - 15 = 0. Let y be 80/(-25)*(-1330)/1064. Solve r = -y*h - 14 - 3, q = -3*h + 2*r for h. -5 Let c(y) = -1 + 95*y**2 + 4 - 93*y**2 - y**3 + 2*y. Let z be c(3). Solve -2*i - 4*u + 22 = z, 0 = 2*i - 5*u + 9 + 14 for i. 1 Suppose 10*m = -5*m + 780. Suppose -4*c - m = -72. Solve 2*w - 2*s = -10 - 2, c*w = -3*s - 22 for w. -5 Let o(x) = x**2 - 28*x + 98. Let l be o(4). Solve 2*b + l*a = -2, -22*b + 25*b = -2*a - 2 for b. 0 Let j be 5*18/72 - (-6)/8. Solve 4*f - 33 + 7 = -3*p, 4*p = j*f - 2 for p. 2 Let f be 8/4 + 0 + 0/2. Suppose 0 = -y - 2, f*y = -5*g + 37 - 11. Let b be (-42)/(-18) - g/(-9). Solve -5*a = b*h - 3*a + 15, a = 3*h + 6 for h. -3 Suppose 18*h = -11 + 65. Solve 0 = -h*s + 6, 2*t + 11*s = 6*s for t. -5 Let w be (((-80)/15)/(-8))/(8/(-36)). Let r be (-42)/(-14) - 15/w. Let v = 12 + -10. Solve -20 = v*t - 4*s, 5*t - s + r = -5*s for t. -4 Suppose 8618*w - 8606*w = 24. Solve -4*d = 3*z + 24, -6 = -w*z + 5*d + 1 for z. -4 Let t be (42/6)/(-7)*(1 - 2). Suppose -4*l + 21 = 5. Let o = -4 + l. Solve o = d + f - t, 4*d + 3 = 8*d + 3*f for d. 0 Suppose -308*g + 2010 = 362*g. Solve 0 = g*n - 4*k + 28, 20 = 6*n - 8*n + 3*k for n. -4 Let q(k) = 19*k + 200. Let o be q(-9). Let a = o - 18. Solve -a = 2*m + r, r - 2*r = 5*m + 20 for m. -3 Let i(h) = -h**3 - 3*h**2 - 2*h. Let u be i(0). Suppose 4*s = 5*z - 12, -4*z - 5*s + u = -26. Solve -5*w + 2*v = 5, z*w = 3*w + v - 1 for w. -1 Let u be (204/(-170))/(9/(-30)). Solve -j - 3*z - 13 = 0, -3*j + u*z = z + 3 for j. -4 Let u be 1/(-3)*(-5 - -125)/(-10). Solve p - u = -6, -2*p - 16 = 4*d for d. -3 Let r(a) = -a**3 - 6*a**2 + 18*a + 18. Let n be r(-8). Suppose -n*f + 5*f - 75 = 0. Solve 0*q = 4*q + x - f, 4*q + 5 = 5*x for q. 5 Suppose 2*x = -5*t - 2, t + 26*x - 26 = 30*x. Solve -5*b = 20, -5*b - 4 - 14 = -t*v for v. -1 Suppose -a + 10 = o - 6*o, -a = -3*o - 8. Suppose 8 + 48 = 4*w. Solve m = 4*x + a*m - 16, -5*x + w = 2*m for x. 2 Let r be 6 + -2 + 3 + -11. Let k be 30/r*((-20)/6 - -2). Solve 20 = -5*a, 5*c = a - k - 1 for c. -3 Let n(j) = -j**2 - 13*j + 5. Let s be n(-7). Let p = -45 + s. Suppose 17 - 2 = 5*g. Solve -2*k + p = 2*r, -6 = -4*r - g*k + 1 for r. 4 Let q be ((-1)/(-1) + 29)*(-4 + 5). Let y = -26 + q. Solve 0 = 5*n - y*s + 11, 0 = -2*n + 4*s - 1 - 13 for n. 1 Suppose -104*z + 9956 = -38820. Solve 0 = 3*d - 3*k - 6, z*d - 468*d - 2*k - 2 = 0 for d. 2 Suppose 4*f - 4*o - 18 = f, o + 11 = 4*f. Suppose -15 = -3*w - 2*w, -3*w = -f*z - 19. Let n = 7 + z. Solve -4*c - n*l + 5*l = 10, -3*c - l - 14 = 0 for c. -4 Let o = -24812 - -24812. Solve -389*q + 388*q - 5*w - 14 = 0, o = 4*q + 2*w + 20 for q. -4 Let u(x) = x**2 - 3*x. Let t be u(5). Suppose 18*y - 108 = 6*y. Suppose -3 + y = 3*z. Solve -p + 3*g + t = -9, -6 = p + z*g for p. 4 Let m(q) be the second derivative of q**3/3 + 6*q**2 + 11*q. Let y be m(6). Let j be 1/(
{ "pile_set_name": "DM Mathematics" }
t g = -1549/9 - -172. Suppose 0 = -5*t - 1 - 19. Put t, g, w in descending order. w, g, t Let p be 6/33 - (-45)/55. Sort 9, 3, p, 4. p, 3, 4, 9 Suppose -350*d + 354*d = 4. Sort -0.35, d, -5 in descending order. d, -0.35, -5 Suppose h - 8 = -v, -4*v - 4*h + 41 = v. Let o = v + -8. Put o, 0, -4 in decreasing order. o, 0, -4 Let n be 8/(-16)*-1*74. Suppose -5*g - 3*i - n = 0, 8 = -g + i - 1. Let u = -9 - g. Sort 3, -2, u in decreasing order. 3, u, -2 Suppose 122 = -38*q - 106. Sort 0.3, 2/19, -0.07, q in descending order. 0.3, 2/19, -0.07, q Let h be 1 + -1 + 2 + -2. Let y = -46/5 - -12. Sort y, h, 2/5. h, 2/5, y Let d be (-4)/6 - 16/3. Let w be (2/d)/((-2)/4). Let a = -6502 - -6502.5. Put -5, w, a in descending order. w, a, -5 Suppose -2*w + 37 = -3*o + 8*o, 20 = 4*o. Suppose 65*x - 67*x + s = -2, -5*s = -x + 19. Sort 3, w, x in increasing order. x, 3, w Suppose -19 = -3*m - 4*i, m + 8 = 3*m - 2*i. Suppose 0 = 5*k + m*t - 5, -3*k - 3*t + 5 = 2*t. Put 0.4, -0.1, k in increasing order. -0.1, k, 0.4 Let m be ((-12)/(-15))/(2/(-10)). Let i be (48/(-30))/(2/(-5)). Put i, 5, m in descending order. 5, i, m Let s(c) = c**2 - 3*c - 37. Let v be s(8). Suppose 0*y + v*y = 9. Sort 4, y, -4 in decreasing order. 4, y, -4 Let v(l) = l**2 - 8. Let z be v(4). Let u be (z + -8)*(-2)/(-6). Suppose -y - 2*y - 12 = u. Sort 0, y, 4. y, 0, 4 Let g = -2 - -2. Let h be -6 - -7 - ((-72)/3)/(-4). Sort g, h, -4, 1 in ascending order. h, -4, g, 1 Let u = -44 + 45. Let c(j) = 2*j + 10. Let k be c(-4). Sort k, u, 1/2, 0 in ascending order. 0, 1/2, u, k Let a(r) = -r**2 - 12*r - 4. Let y be a(-12). Let s(p) = -13*p + 5. Let d be s(-3). Let n be (1 + (-42)/d)*y. Put n, 2/11, -3/5 in increasing order. -3/5, n, 2/11 Let v(u) = -2*u - 7. Let p be v(-5). Let s = 293.4 - 299.4. Put p, -4, s in ascending order. s, -4, p Suppose -3*b + 0*c + c - 124 = 0, 48 = -b - 3*c. Let r be (-24)/b*(-1)/(-4). Put -1/2, 0.04, -2/11, r in decreasing order. r, 0.04, -2/11, -1/2 Let d be (48/(-36))/((-4)/(-6)). Suppose -7*a + 10 = -2*a. Suppose -a*u - 24 = u. Put u, d, -1 in descending order. -1, d, u Let v(n) = 3*n - 13. Let y be v(6). Put 21, -5, y in decreasing order. 21, y, -5 Let h = -45.3 - -45.6. Put 8, h, 0.5 in descending order. 8, 0.5, h Let y = -782.7 + 783. Sort y, -4/5, -237. -237, -4/5, y Let o(a) = -a**2 - 6*a + 3. Let j be o(-7). Let n(m) = 2*m - 34. Let i be n(16). Sort 5, 6, i, j in descending order. 6, 5, i, j Let j(n) = 3*n - 5. Let a be j(3). Suppose v + a*v = 0. Sort -2, v, -6 in descending order. v, -2, -6 Let k = -31 - -35. Suppose -k*j = -0*j - 20. Let x(c) = c + 2. Let q be x(0). Sort -1/3, q, j in ascending order. -1/3, q, j Suppose -2*i = 3*m - 22 - 2, 33 = 4*m + 3*i. Sort -5, 4, m in descending order. m, 4, -5 Let v = -0.35 - 0.05. Let r be 36/(-42)*-5 - 4. Sort -13, v, r in ascending order. -13, v, r Suppose -65 = -202*f + 215*f. Suppose -l - 9 = 2*l. Sort f, -4, 2, l. f, -4, l, 2 Let z = 69.6 + -68.6. Let o(l) = 6*l**2 - 1. Let b be o(-1). Let y be 2/b*(-10)/22. Sort y, z, 0.2 in ascending order. y, 0.2, z Suppose 0 = -8*t + 10*t - t. Let y = -10 + 15. Put 9, y, t in decreasing order. 9, y, t Suppose -2*i - o = 3*i + 33, 3*o = 5*i + 21. Let z be (-30)/8 - i/8. Let d be (-2 + -1)*10/15. Sort -1, z, d in ascending order. z, d, -1 Suppose -5 + 1 = -2*t + u, 0 = 4*t - 5*u - 2. Suppose -a = t*d - 31, 4*d - 40 = -3*a + 2*a. Put 0, -5, d in ascending order. -5, 0, d Let o = -20.42 - 1.58. Sort 2/23, -0.2, 0.4, o in descending order. 0.4, 2/23, -0.2, o Suppose 4 = -3*y + 7. Let i = 6 - 10. Let k(w) = -8*w - 134. Let s be k(-17). Sort i, s, y. i, y, s Let u be 3/(-10)*8/6. Let l = -17.8 - -19.1. Sort u, l, -2. -2, u, l Let k(l) = 30*l - 6. Let c be k(-1). Let i be (-4)/(-5) + c/20. Sort i, 1, -6 in descending order. 1, i, -6 Let n = 127.74 - 117.6. Let o = 0.14 - n. Let h = o + 9.8. Put h, -2, 2 in descending order. 2, h, -2 Let w = 0.03 - -0.03. Let n = 8.24 + -7.9. Let c = w + n. Put 4/7, 2, c in increasing order. c, 4/7, 2 Let f(k) = k**2 + 7*k + 13. Let q be f(-5). Suppose -x = 3*x - d + 35, 0 = -x + q*d + 5. Sort x, -5, -3 in ascending order. x, -5, -3 Let a = 569 + -568.6. Put -8, -4, 4, a in decreasing order. 4, a, -4, -8 Let o = -1978 - -1974. Let a be (-1 + -11)*14/4. Sort a, -2, o. a, o, -2 Let g be (0 - 3/(-2))*12/3. Suppose w - 45 = g*w. Suppose 1 + 5 = h + 4*r, 4*r = -4*h. Put h, 1, w in descending order. 1, h, w Let c be (-1*1)/((-2)/(-10)). Let w(k) = 90*k - 44*k - 18 - 50*k. Let i be w(-3). Put i, c, -1 in descending order. -1, c, i Suppose -1 = -4*n - r + 1, -4*r - 5 = 3*n. Let b be (-38)/10 + n - (-2)/(-10). Sort 5, 2, -5, b in ascending order. -5, b, 2, 5 Let q(r) = -4*r - 18. Suppose 9*u + 33 = -3. Let c be q(u). Sort c, 0, 4, 1 in decreasing order. 4, 1, 0, c Suppose -5*i + w = -1, -5*w + 2*w - 3 = -i. Let c = 2 + i. Suppose 5*l - 21 = -4*f + 3*f, -3*l - 3*f + 3 = 0. Put l, 4, c in descending order. l, 4, c Let b = -425 + 426. Sort -4, 9, 12, b in descending order. 12, 9, b, -4 Let v(b) = b**2 - 48*b + 343. Let d be v(9). Sort 0, -2, d in ascending order. d, -2, 0 Let p(r) = 6 + 167*r**3 - 2*r**2 + 8*r - 166*r**3 - 5*r**2. Let b be p(5). Sort 5, -5, b in increasing order. -5, b, 5 Let p = -19.1 + 1.1. Let j = p + 31. Let z = 17 - j. Sort z, 3/4, 3/2 in increasing order. 3/4, 3/2, z Let u = 5 - 2. Suppose -23*h + 24*h + u = 0. Sort h, 4, 5, 2 in descending order. 5, 4, 2, h Let j(v) = 5*v + 13. Let x be j(-10). Let u = x - -39. Suppose 3*o = -0 - 3. Put u, 5, o in descending order. 5, u, o Let c(j) = -4*j + 78. Let r be c(20). Sort 0, 51, r, 3. r, 0, 3, 51 Let d(i) = -i + 2. Let l be d(2). Let v be (-3 + 1 + 2)/(-1). Suppose 5*a = -10, -2*q - a + v = 6. Put -1, l, q in descending order. l, -1, q Let f = 8 + -6. Let k = 259 - 259. Sort -3, f, k. -3, k, f Let y be 10*(-1 - 6/(-4)). Let b = 3 + -7. Let g(j) = j**3 + 2. Let n be g(-1). Sort n, y, b. b, n, y Let f = 15.918 - -0.082. Put 0, 3, f in descending order. f, 3, 0 Let d be (-26)/(-5) - (1 - 4/5). Let c be -2 - ((-112)/30)/2. Let r = 1.5 - -0.5. Put d, c, r in decreasing order. d, r, c Suppose 4*a - 5*a + 2 = 0. Put 14, -1, -3, a in descending order. 14, a, -1, -3 Suppose -2*p + 15 = p. Suppose -v + 4*l + 5 = 0, 0 = v + 3*v - 5*l - 9. Suppose p = 2*y + v. Sort 0, 7, y. 0, y, 7 Suppose p - 4*p = 0. Let u = -2949/13 - -227. Let r(w) = -w + 10. Let a be r(15). Sort u, p, a in descending order. u, p, a Let g(r) = -10*r + 28. Let p be g(-19). Suppose -4*a = 4, -3*a - 1 = 4*f - p. Put f, 2, -5 in increasing order. -5, 2, f Let x be (-96)/(-46) + 54/(-621). Sort -2, x, 5, 0 in ascending order. -2, 0, x, 5 Suppose 96 - 6 = 90*h. Put 3, h, -5, -11 in descending order. 3, h, -5, -11 Suppose 4*t + 4 = 0, -5*t + 1 = 3*a + 12. Put a, -5, 3, 16 in ascending order. -5, a, 3, 16 Let v = -16 - -27. Let i = v - 10. Let x = i + -1.5. Sort x, 1, -2 in increasing order. -2, x, 1 Let l be (25/(-4))/((-13)/52). Let a = l + -31. Sort -5, a, 5 in decreasing order. 5, -5, a Let c = 354 - 363. Sort 0, c, 5/2, -0.3 in increasing order. c, -0.3, 0, 5/2 Let v be 24/10 + 12/20. Let d be 156/18 + (-2)/v. Let o = d + -8. Sort 5, 3, o in decreasing order. 5, 3, o Let q be (-4)/(-14)*(-2)/1. Let x = -0.16 - -4.56. Let l = x + -4.9. Sort l, q, 0. q, l, 0 Suppose -9*q + 12*q + 9 = -3*l, 5*l + q + 11 = 0. Sort -44, 1, l in increasing order. -44, l, 1 Let k be 2/(-4) - -1*1/(-2). Sort k, 10, 0 in ascending order. k, 0, 10 Suppose 8*r - 152 = 72. Let c be (-14)/r*(8 - 0). Sort c, 0, 5 in increasing order. c, 0, 5 Let f = -5 - -3. Let z be f/9 + 212/(-18). Let t = 13 + z. Put -3, -2/9, t in descending order. t, -2/9, -3 Let i = -4.98 + 4.68. Let j = -13 - -13.05. Put 2/11, i, j in ascending order. i, j, 2/11 Let x = -37.15 + 1.15. Let k = 36.1 + x. Sort 0.5, k, -5/2 in descending order. 0.5, k, -5/2 Let o(w) = -4*w**3 - 17*w**2 - 4*w - 3. Let z be o(-4). Sort -19, 0, z. -19, z, 0 Let g be 290/20 + 9/(-6). Sort -2, g, 36 in descending order. 36, g, -2 Let b = 486 + -485.6. Put 0.058, 2/7, b, 2 in ascending order. 0.058, 2/7, b, 2 Let b = 15 - 1. Sort 3, -0.5, b in increasing order. -0.5, 3, b Let y(c) = c**2 - 3*c - 1. Let z be y(2). Put 3/7, 71, 1, z in decreasing order. 71, 1, 3/7, z Let g(o) = 12*o + 18. Let h be g(-2). Sort 1, 8, h. h, 1,
{ "pile_set_name": "DM Mathematics" }
0, 2 Let g(c) be the second derivative of 7*c**4/54 + 2*c**3/27 - 11*c. Solve g(r) = 0. -2/7, 0 Let z(d) be the third derivative of d**7/420 + d**6/480 - d**5/48 + d**4/48 - 10*d**2. Determine u so that z(u) = 0. -2, 0, 1/2, 1 Determine o so that 0 + 0*o - 2/11*o**2 - 6/11*o**3 + 8/11*o**4 = 0. -1/4, 0, 1 Factor -4/5*i**4 + 0 + 8/5*i - 4*i**2 + 16/5*i**3. -4*i*(i - 2)*(i - 1)**2/5 Factor -3*q - 7*q**3 - 7*q**2 - 2*q**3 + 16*q**2 + 3*q**4. 3*q*(q - 1)**3 Find j, given that 0*j**3 + 11*j**3 + 80*j**5 - 7*j**3 - 8*j**2 + 67*j**4 + 25*j**4 = 0. -1, -2/5, 0, 1/4 Let b(t) = t**2 - 4*t - 7. Let m(o) = 2*o**2 - 6*o - 10. Suppose 5*r = 30 + 5. Let s(u) = r*b(u) - 5*m(u). Factor s(v). -(v - 1)*(3*v + 1) Factor 0 + 4/11*t**2 + 2/11*t + 2/11*t**3. 2*t*(t + 1)**2/11 Find w such that 3*w**3 + 2*w + 11*w**2 - 20*w**2 + 4*w = 0. 0, 1, 2 Let f(r) = -r**3 - 36*r**2 - 35*r + 3. Let c be f(-35). Let -2/7*b**4 + 0*b - 4/7*b**c - 2/7*b**2 + 0 = 0. What is b? -1, 0 Let n(w) be the first derivative of -9*w**5/25 - 3*w**4/5 + w**3/5 + 3*w**2/5 - 10. Factor n(u). -3*u*(u + 1)**2*(3*u - 2)/5 Let r(g) be the third derivative of 0*g**4 + 1/300*g**6 + 1/150*g**5 + 0*g - g**2 + 0*g**3 + 0. Suppose r(c) = 0. Calculate c. -1, 0 Factor 2*a - 4 - 1/2*a**3 + a**2. -(a - 2)**2*(a + 2)/2 Let w(d) be the second derivative of -d**6/120 - d**5/15 - 5*d**4/24 - d**3/3 + d**2 - 3*d. Let v(t) be the first derivative of w(t). Factor v(u). -(u + 1)**2*(u + 2) Suppose -q - 3*q - 8 = 0. Let t be 1 - (-1)/2*q. Let 0*p - 1/3*p**2 + t = 0. Calculate p. 0 Let z(x) be the second derivative of -x**8/33600 - x**7/4200 - x**6/1200 - x**5/600 - x**4/6 - 2*x. Let n(c) be the third derivative of z(c). Solve n(f) = 0. -1 Let c be (2 - (-33)/(-12))*16. Let d be (-62)/c - (-5)/(-30). Suppose 2*i**4 - i**d - 5*i**4 + 2*i**4 + i**3 + i**2 = 0. Calculate i. -1, 0, 1 Let v(m) = -7*m**4 - 5*m**3 + 5*m - 5. Let q(k) = -k**4 - k**3 + k - 1. Let n(i) = 5*q(i) - v(i). Suppose n(b) = 0. Calculate b. 0 Let s(f) be the third derivative of -1/280*f**7 + 3/80*f**5 - 1/4*f**3 + 2*f**2 + 1/32*f**4 + 0 + 0*f - 1/160*f**6. Solve s(u) = 0 for u. -2, -1, 1 Determine h so that -2/15*h**5 - 2/15*h**4 + 2/5*h**3 + 4/15*h + 2/3*h**2 + 0 = 0. -1, 0, 2 Suppose -5*a + 0 = -15. Factor 3*r**2 + 4*r + a*r**2 + r**4 - 2*r**3 + 4 - 9*r**2. (r - 2)**2*(r + 1)**2 Determine t so that 16/7*t**2 + 5/7*t - 2/7 + 9/7*t**3 = 0. -1, 2/9 Let o(u) be the second derivative of u**4/54 + 4*u**3/9 + u - 42. Factor o(g). 2*g*(g + 12)/9 Let l(b) be the third derivative of -b**6/1620 - b**5/270 - b**4/108 - b**3/3 - b**2. Let f(c) be the first derivative of l(c). Factor f(q). -2*(q + 1)**2/9 Let o be 28/(-6)*((-8)/14 + 0). Solve 8/3*k - 2/3*k**2 - o = 0 for k. 2 Let h(q) = q**5 + 3*q**4 - 3*q**3 - 3*q**2 - q + 1. Let z(a) = a**5 + a**4 + a**3 - a**2 + a - 1. Let n(m) = h(m) + z(m). Factor n(x). 2*x**2*(x - 1)*(x + 1)*(x + 2) Let k = 79 - 79. Determine o, given that -2/3*o**2 + k - 2/3*o**3 + 0*o = 0. -1, 0 Let a(i) be the second derivative of 0*i**2 - 3*i + 3/5*i**5 + 0 + 7/4*i**4 - i**3. Let a(r) = 0. What is r? -2, 0, 1/4 Let a(g) be the first derivative of 3*g**5/5 + 2*g**4 + 2*g**3 - g - 6. Solve a(y) = 0. -1, 1/3 Suppose 4*t = 3*t. Let n be (t - (-1)/(-9))*-6. Find f such that -1/3*f**3 - n*f**2 + 0 + 0*f = 0. -2, 0 Let m(j) = 30*j**3 - 207*j**2 + 126*j - 18. Let w(o) = 59*o**3 - 414*o**2 + 253*o - 37. Let h(g) = 5*m(g) - 3*w(g). Suppose h(i) = 0. What is i? 1/3, 7 Let n(v) be the second derivative of -v**7/126 - v**6/90 + v**5/30 - 9*v. Factor n(z). -z**3*(z - 1)*(z + 2)/3 What is s in 6*s**2 - 3 + s**3 + 8 - 7*s**2 + 7 - 8*s = 0? -3, 2 Let b(f) = f**2 - 4*f + 3. Suppose -6*d + 10 = -d. Let c be b(d). Let r(l) = 3*l**2 - 4*l + 5. Let x(p) = p**2 - p + 1. Let i(v) = c*r(v) + 4*x(v). Factor i(n). (n - 1)*(n + 1) Let r(h) be the first derivative of 2 + h - 1/16*h**4 + 5/12*h**3 - h**2. Factor r(w). -(w - 2)**2*(w - 1)/4 Let u(r) be the second derivative of r**6/15 - 4*r**5/5 + 8*r**4/3 + 13*r. Factor u(g). 2*g**2*(g - 4)**2 Factor 11/6*z**2 - 1/6*z**3 - 4*z - 6. -(z - 6)**2*(z + 1)/6 Let k(b) = 9*b**2 + 21*b + 33. Let t(x) = -2*x**2 - 5*x - 8. Suppose 6*s - 5 = 7*s. Let m(v) = s*k(v) - 21*t(v). Find y, given that m(y) = 0. -1, 1 Let r(m) be the first derivative of -3*m**4/16 + m**3 - 38. Determine w, given that r(w) = 0. 0, 4 Let a(l) be the third derivative of l**6/60 - l**5/30 - l**4/6 - 2*l**2. Factor a(g). 2*g*(g - 2)*(g + 1) Let n = -11 - -15. Suppose w - 8 = -n*i, 2*w + 1 = -2*i - 1. Let 0 - y**i - y**2 - 1/3*y**4 - 1/3*y = 0. What is y? -1, 0 Let u(m) be the second derivative of 1/3*m**3 - 1/12*m**4 + 0*m**2 + 2*m + 0. Determine v so that u(v) = 0. 0, 2 Let z(k) be the second derivative of -k**7/3360 + k**6/480 - k**5/240 + k**3/2 + 3*k. Let c(j) be the second derivative of z(j). Let c(q) = 0. What is q? 0, 1, 2 Determine x so that 2*x - 32*x**3 - 8*x**2 + 1/2 = 0. -1/4, 1/4 Find h such that 1/4*h**2 + 0 - 5/4*h = 0. 0, 5 Let o be (0 + 2 + -3)*-2. Suppose o*p + 19 = 4*s + 5, p + 11 = 3*s. Let 4*y**4 - 5*y**4 + 2*y**5 + 2*y**3 + 6*y**s - y**4 = 0. Calculate y. -1, 0 Let x(s) be the third derivative of -s**8/252 + 8*s**7/315 - s**6/15 + 4*s**5/45 - s**4/18 - 11*s**2. Factor x(q). -4*q*(q - 1)**4/3 Suppose -5*a - 2 = -17. Determine n, given that 2*n**2 - n**3 + 2*n**2 - a*n**2 + 0*n**3 = 0. 0, 1 Let o(s) = -3*s**5 + s**4 - 2*s**2 + s - 3. Let z(i) = -13*i**5 + 3*i**4 + i**3 - 8*i**2 + 3*i - 13. Let y(j) = -18*o(j) + 4*z(j). Solve y(m) = 0 for m. -1, 1 Suppose 7*b = 4*b + 9. Let d(w) be the first derivative of -14/5*w**5 + 13*w**2 + 23/2*w**4 - 18*w**b - 1 - 4*w. Solve d(h) = 0 for h. 2/7, 1 Let o(c) be the third derivative of -c**7/210 - c**6/45 - c**5/30 - 5*c**3/6 + 2*c**2. Let y(z) be the first derivative of o(z). Factor y(s). -4*s*(s + 1)**2 Let r(t) = -3 + 3 - 2 - t. Let i be r(-5). Factor 4*k**2 + 2 - i*k**2 + 2 - 5. (k - 1)*(k + 1) Let k be (-4)/(3 - (-3 + 16)). Suppose -4/5*o**2 + 2/5*o**5 + 4/5*o**3 - 6/5*o - k + 6/5*o**4 = 0. Calculate o. -1, 1 Let y = 43 + -31. Let d be 0/(-1) + 3/y. Factor 0*h**4 + 0*h + 0 - d*h**5 - 1/2*h**2 + 3/4*h**3. -h**2*(h - 1)**2*(h + 2)/4 Solve 6*m - 10 + 2*m**3 - 9 - 8 - 6*m**2 + 25 = 0 for m. 1 Let w(x) = 3*x - 3. Let r be w(3). Let j be (r/(-21))/(5/(-7)). Solve 0*b**2 + 0*b + 0*b**4 + j*b**3 + 0 - 2/5*b**5 = 0. -1, 0, 1 Let z be -15 - -12 - (-130)/42. Let i(p) be the first derivative of -3 - 4/7*p + z*p**3 - 1/7*p**2. Solve i(j) = 0 for j. -1, 2 Let t(w) be the first derivative of w - 5 - 2*w**2 + 25/12*w**3 - 1/24*w**6 + 7/20*w**5 - 19/16*w**4. What is m in t(m) = 0? 1, 2 Let p(h) be the second derivative of 4*h + 0*h**3 + 0*h**2 + 0 + 1/30*h**4. What is z in p(z) = 0? 0 Let l(t) be the third derivative of -1/54*t**4 + t**2 - 7/540*t**6 + 1/30*t**5 + 0*t + 0*t**3 + 0. Factor l(n). -2*n*(n - 1)*(7*n - 2)/9 Let j(y) = y**2 - 12*y + 24. Let m be j(10). Suppose c + 13 = 3*o, -o + 6*o - 17 = m*c. Factor 2/11*i**c + 0 + 0*i. 2*i**2/11 Suppose 5*c = -2*f + 20, -2*f - f + 8 = 2*c. Let w be 2/4*(-40)/(-5). Determine q, given that q - 2*q + 4*q**4 + 2*q**3 - q**5 - w*q**c = 0. -1, 0, 1 Let x = 15 - 6. Let v = x - 5. Find g such that 20*g**v + 18*g**3 + 2*g + g**2 - 6*g - 7*g**2 = 0. -1, -2/5, 0, 1/2 Let 2*a**2 + 2*a**2 - 8 + 0*a**2 - 2*a**2 = 0. Calculate a. -2, 2 Let d(z) be the second derivative of -z**4/15 + 4*z**3/5 + 17*z. Determine h, given that d(h) = 0. 0, 6 Let b(u) be the first derivative of u**3/3 + 7*u**2/2 - 6*u - 1. Let d be b(-8). Factor -2 - 3*s - d + 2 - s**2. -(s + 1)*(s + 2) Let q(o) = -o**2 - 14*o - 13. Let r be q(-13). Factor r - 4/3*y + 2/3*y**2. 2*y*(y - 2)/3 Determine m so that 3/2*m**3 + 0 + 2/3*m**5 - 1/6*m**2 - 11/6*m**4 - 1/6*m = 0. -1/4, 0, 1 Let h(f) = 5*f**3 + 18*f**2 + 57*f + 51. Let p(l) = 16*l**3 + 54*l**2 + 172*l + 152. Let s(t) = 20*h(t) - 6*p(t). Suppose s(k) = 0. What is k? -3 Find n, given that 1/5*n**4 + 3/5*n**2 + 1/5*n + 3/5*n**3 + 0 = 0. -1, 0 Factor -6/7*n**3 - 2/7*n**4 - 2/7*n - 6/7*n**2 + 0. -2*n*(n + 1)**3/7 Let v = 123/4 + -92/3. Let h(n) be the third derivative of 0 + 2*n**2 + v*n**4 + 0*n + 2/9*n**3 + 1/90*n**5. Factor h(k). 2*(k + 1)*(k + 2)/3 Let i(y) be the third derivative of y**6/270 + y**5/135 - y**4/54 - 2*y**3/27 - 13*y**2. Factor i(t). 4*(t - 1)*(t +
{ "pile_set_name": "DM Mathematics" }
3 Collect the terms in -7473871*o + 14947705*o - 7473850*o. -16*o Collect the terms in 44964*f**2 - 87028*f**2 - 1 - 47909*f**2 - 118480*f**2. -208453*f**2 - 1 Collect the terms in 24879*k**2 + 17507*k**2 - 7 + 7 + 28112*k**2. 70498*k**2 Collect the terms in -17*v - 6 - 28 - 76. -17*v - 110 Collect the terms in -40 + 436*h - 356*h - 67*h + 40. 13*h Collect the terms in -876 + 540 + 336 + 17*j**3 + 74*j**3. 91*j**3 Collect the terms in -299*h**2 + 1622 - 1832*h**2 + 53. -2131*h**2 + 1675 Collect the terms in 93314*u - 46790*u - 3*u**3 - 46524*u - 2*u**3. -5*u**3 Collect the terms in 87*a + 2427 + 2435 + 2330 - 7192. 87*a Collect the terms in 1260*d**3 + 1481*d**3 - 2699*d**3 - 2*d. 42*d**3 - 2*d Collect the terms in 0*p + 21 - 11*p**2 + 29 - 6 + 2*p. -11*p**2 + 2*p + 44 Collect the terms in 4587*p**2 + 671*p**3 - 4587*p**2 + 1188*p**3. 1859*p**3 Collect the terms in -3*y**2 + 3*y**2 + 2134733*y**3 - 2134734*y**3. -y**3 Collect the terms in -263*l - 330*l + 564*l - 160*l + 837*l + 771*l. 1419*l Collect the terms in -482*h + 897*h**2 + 916*h**2 + 191*h - 1811*h**2 - 83*h - 192*h. 2*h**2 - 566*h Collect the terms in -134667382*j**3 + 269334755*j**3 - 4 - 134667353*j**3 + 4. 20*j**3 Collect the terms in 486*p**2 - 122*p**2 + 11 - 11 - 76*p**2 - 212*p**2. 76*p**2 Collect the terms in 1018511*c - 509245*c - 509210*c. 56*c Collect the terms in -66903*f + 67558*f - 182516*f. -181861*f Collect the terms in 50*d**2 + 158*d**2 + 173*d**2 - 389*d**2. -8*d**2 Collect the terms in -2483863*d + 827950*d + 827969*d + 827957*d. 13*d Collect the terms in -572*j**2 + 572*j**2 + 224824*j**3 - 54270*j**3 - 461*j**3. 170093*j**3 Collect the terms in -8*w**3 + 19*w**3 - 10*w**3 + 434464*w**2. w**3 + 434464*w**2 Collect the terms in 2331 + 213*i + 2337 - 4692 - 716*i. -503*i - 24 Collect the terms in 1954119*o**2 + 1953453*o**2 - 3907557*o**2. 15*o**2 Collect the terms in -62769*g**3 + 3*g + 125429*g**3 - 3*g - 62639*g**3. 21*g**3 Collect the terms in -3018695579177 + t + 3018695579177. t Collect the terms in 16*b - 32*b - 245*b - 357*b - 188*b. -806*b Collect the terms in b + 0*b - 3*b + 4775 + 14368. -2*b + 19143 Collect the terms in 37*y - 40*y + 3 - 39 - 27. -3*y - 63 Collect the terms in -677 + 74*c**2 - 191 + 109 + 86. 74*c**2 - 673 Collect the terms in -w**2 - w + 483 + 159 - 118*w**3 + 0*w**2. -118*w**3 - w**2 - w + 642 Collect the terms in 21 - 224*j - 197*j - 21 - 408*j + 520*j. -309*j Collect the terms in -57690*v**3 - 60778*v**3 + 118469*v**3. v**3 Collect the terms in 7199*u**2 - 2169*u**2 - 2830*u**2 - 2197*u**2. 3*u**2 Collect the terms in -130*s**2 + 2*s - 539 - 2*s + 1085 - 541. -130*s**2 + 5 Collect the terms in -97470*r + 18 + 195000*r - 97532*r. -2*r + 18 Collect the terms in 2180345 - 2180345 - 4754*u. -4754*u Collect the terms in 273*s**2 - 74*s**2 - s - 8 - 182*s**2 + 8 - 104*s**2. -87*s**2 - s Collect the terms in 13798584973 - 6899292510 - 6899292463 - o**2. -o**2 Collect the terms in 1045 + f**2 + 37*f - 861 - 49*f. f**2 - 12*f + 184 Collect the terms in 15*v - 52*v - 1750*v**2 + 7*v + 1741*v**2 + 12*v + 18*v. -9*v**2 Collect the terms in 54922220 - 54922220 - 2*l**2. -2*l**2 Collect the terms in -74*p - 84*p + 33*p - 84*p + 353*p - 75*p - 85*p. -16*p Collect the terms in -113247*x - 113696*x + 226948*x. 5*x Collect the terms in -28 + 2285*d**2 + 2*d - 25 - 1522*d**2 + 2912*d**2. 3675*d**2 + 2*d - 53 Collect the terms in 101*y + 126*y + 125*y + 140*y + 128*y - 594*y. 26*y Collect the terms in 33129355*m - 11043115*m - 11043124*m - 11043116*m - 9*m**3. -9*m**3 Collect the terms in 13 + 21 - 17 - 18*v. -18*v + 17 Collect the terms in t + 21922894283*t**2 - 21922893858*t**2 - t. 425*t**2 Collect the terms in -7*q - 12 - 7 + 2*q - 36*q + 2*q - 8*q. -47*q - 19 Collect the terms in 233*v + 506*v - 133*v**3 - 739*v. -133*v**3 Collect the terms in 374*q + 3237 + 3234 - 9702 + 3231. 374*q Collect the terms in 56*p - 134*p - 21 - 66*p + 11 + 27 - 23. -144*p - 6 Collect the terms in -2*x**2 - 4021*x + 26 - 26 + 2410*x. -2*x**2 - 1611*x Collect the terms in -88827*t**3 + 43*t**2 - 10*t**2 - 7*t**2 + 88806*t**3 - 15*t**2 - 10*t**2. -21*t**3 + t**2 Collect the terms in -237*c + 243*c + 340290 - 170140 - 170150. 6*c Collect the terms in -21*h + 21*h + 93045*h**2 - 94089*h**2. -1044*h**2 Collect the terms in 642497605*m**3 + 3*m**2 - 4*m**2 - 642497607*m**3 + m**2. -2*m**3 Collect the terms in -63*z**2 - 35 - 210*z + 35 + 61*z**2. -2*z**2 - 210*z Collect the terms in -313*i**2 + 2364*i**3 - 205*i**2 + 518*i**2. 2364*i**3 Collect the terms in 562947*s**3 - 523*s**2 + 520*s**2 - 562910*s**3. 37*s**3 - 3*s**2 Collect the terms in 68042*v - 17 - 68042*v - 3*v**2. -3*v**2 - 17 Collect the terms in -220 + 237*k - 311 - 130*k + 244*k. 351*k - 531 Collect the terms in 10 + 123 - 88 + 4*g - 2*g - 278. 2*g - 233 Collect the terms in -117 + 228 - 47 - 64 + 16*r**3. 16*r**3 Collect the terms in 8*p - 16*p - 1024911*p**2 + 8*p - 1444987*p**2. -2469898*p**2 Collect the terms in -18591292*s + 37182711*s - 18591476*s. -57*s Collect the terms in 609418*h + 918561*h - 215118*h. 1312861*h Collect the terms in 67343*k - 33672*k - 2*k**3 - 7*k**2 - 12*k**2 + 4*k**3 - 33671*k. 2*k**3 - 19*k**2 Collect the terms in 600575*g - 600578*g + 193708 - 193696. -3*g + 12 Collect the terms in -1842*j**2 - 4*j**3 + 1242*j**2 + 591*j**2. -4*j**3 - 9*j**2 Collect the terms in 11*f**3 - 33163*f**2 + 10867*f**2 + 11152*f**2 + 11144*f**2 - 15*f**3. -4*f**3 Collect the terms in 10649*j**2 + 9 - 10764*j**2 + 6 - 14. -115*j**2 + 1 Collect the terms in 43858*j**2 + 27746*j**2 + 4931*j**2. 76535*j**2 Collect the terms in -5620 + 8*d**2 + 425*d**3 + 5622 - 428*d**3 - 8*d**2. -3*d**3 + 2 Collect the terms in -105621 + 35162 + 35232 + 9*m**2 + 35227. 9*m**2 Collect the terms in -12*o**2 + 156916 - o + o - 156918 + 50*o**3 + 12*o**2. 50*o**3 - 2 Collect the terms in 84013623*u**3 + 26*u - 84013636*u**3 + 26*u - 83*u + 31*u. -13*u**3 Collect the terms in 418*x**3 + 449*x**3 + 60 - 49 + 98*x**2 - 98*x**2. 867*x**3 + 11 Collect the terms in 1066*h - 6 + 6 - 64*h - 29188*h. -28186*h Collect the terms in -374*k - 1 + 1 + 119*k + 144*k + 135*k. 24*k Collect the terms in -1644*s**2 - 1835*s**2 + 4999*s**2 - 1518*s**2. 2*s**2 Collect the terms in -82*j**2 + 56*j**2 + 5578*j - 5583*j. -26*j**2 - 5*j Collect the terms in 13811*x - 40211*x + 13294*x + 13907*x. 801*x Collect the terms in -6111*p + 0*p**2 + 6115*p - 4*p**2 - 5*p**2 - 6*p**2 + 2*p**2. -13*p**2 + 4*p Collect the terms in 883*a - 2 + 2 - 5069*a + 1958*a. -2228*a Collect the terms in 292697605*u**2 - 585395212*u**2 + 292697588*u**2. -19*u**2 Collect the terms in 1897*x + 467*x + 950*x - 35*x. 3279*x Collect the terms in -51401*r**2 - 50844*r**2 + 101736*r**2. -509*r**2 Collect the terms in 115*u**3 + 86*u**3 - 444*u**3 + 62*u**3 + 90*u**3 + 88*u**3. -3*u**3 Collect the terms in 147502374365168 - 6*l**3 - 147502374365168. -6*l**3 Collect the terms in -12*j**2 + 18*j**2 - 4*j**2 + 982*j + 1359*j - 329*j. 2*j**2 + 2012*j Collect the terms in 6469*g**2 + 31444*g**2 + 7*g - 15*g + 9*g. 37913*g**2 + g Collect the terms in -4352*h**2 - 4*h - h + 12426*h**2 + 5*h - 4353*h**2 - 3728*h**2. -7*h**2 Collect the terms in -824*g**2 - 22971*g + 22971*g. -824*g**2 Collect the terms in -6877*j - 6880*j - 291*j**2 + 13757*j + 61*j**2. -230*j**2 Collect the terms in 120*p**2 - 258*p**2 + 33*p**2 + 28*p**2 - 3*p**3 + 43*p**2 + 34*p**2. -3*p**3 Collect the terms in 1 + 1734*b - 254*b + 3 + 3 - 7. 1480*b Collect the terms in -373*a + 1091*a - 378*a - 42 - 339*a. a - 42 Collect the terms in 6553*k**3 + 22*k - 61 - 2*k - 6555*k**3 - 19*k - k. -2*k**3 - 61 Collect the terms in -x + 7261524 - 114*x**2 - 7261524. -114*x**2 - x Collect the terms in 2805*d**2 - 705*d**2 - 705*d**2 - 698*d**2 - 680*d**2. 17*d**2 Collect the terms in -2*j - 13486 - 13441 + 26929. -2*j + 2 Collect the terms in -5*s + 2632283*s**3 + 10629768*s**3 + 5*s. 13262051*s**3 Collect the terms in -1051*k**2 + 29648 - 29628 + 1060*k**2. 9*k**2 + 20 Collect the terms in 1267*x + 44 - 12187*x - 87 + 43. -10920*x Collect the terms in 350*o**2 - 85*o**2 - 74*o**2 - 56*o**2 - 127*o**2. 8*o**2 Collect the terms in 11089*i**2 + 191*i**3 + 11089*i**2 - 22178*i**2 + 61*i**3. 252*i**3 Collect the terms in 7696 - 3269
{ "pile_set_name": "DM Mathematics" }
c, 1 u, and 1 f when four letters picked without replacement from fueefc? 4/15 Calculate prob of picking 2 f and 1 r when three letters picked without replacement from rgxtffrgxttt. 1/110 What is prob of picking 1 n and 2 t when three letters picked without replacement from {b: 2, t: 1, m: 6, n: 2}? 0 Calculate prob of picking 1 g, 1 a, and 1 q when three letters picked without replacement from vqcgvccvavaqqcccc. 3/340 Three letters picked without replacement from {n: 4, m: 1, b: 3, g: 10, r: 1}. What is prob of picking 1 r and 2 b? 1/323 Two letters picked without replacement from jlsjnnssjjljnns. Give prob of picking 2 n. 2/35 Four letters picked without replacement from rgxdcfxgf. Give prob of picking 1 r, 1 c, and 2 f. 1/126 Four letters picked without replacement from {x: 2, p: 2, y: 1}. What is prob of picking 1 x, 2 p, and 1 y? 2/5 Four letters picked without replacement from xzxsstxsaattz. What is prob of picking 1 z, 1 a, 1 x, and 1 s? 36/715 Calculate prob of picking 3 f and 1 z when four letters picked without replacement from {a: 3, z: 3, f: 6, h: 1, l: 1, g: 1}. 4/91 Calculate prob of picking 1 a, 1 t, and 1 o when three letters picked without replacement from atdjo. 1/10 Four letters picked without replacement from {z: 10}. Give prob of picking 4 z. 1 Two letters picked without replacement from rhttrh. What is prob of picking 2 r? 1/15 What is prob of picking 1 g, 1 j, and 1 n when three letters picked without replacement from {n: 1, g: 1, j: 1, i: 2, y: 5}? 1/120 What is prob of picking 1 p and 1 v when two letters picked without replacement from {t: 1, a: 2, p: 1, v: 1}? 1/10 What is prob of picking 2 c when two letters picked without replacement from {z: 2, m: 1, u: 9, c: 8}? 14/95 Three letters picked without replacement from {l: 10, v: 1, j: 9}. What is prob of picking 1 v and 2 l? 3/76 Four letters picked without replacement from bkkksbbbbbsbbsbbbksb. Give prob of picking 3 s and 1 b. 16/1615 Four letters picked without replacement from {x: 1, y: 13, u: 3}. What is prob of picking 3 y and 1 u? 429/1190 What is prob of picking 2 u when two letters picked without replacement from uhhhhhuuhhhh? 1/22 What is prob of picking 1 m, 1 u, 1 j, and 1 d when four letters picked without replacement from jdummdomxmdxxummm? 3/170 Calculate prob of picking 1 d and 1 s when two letters picked without replacement from sfdjgfffddfff. 1/26 Four letters picked without replacement from {v: 2, f: 1, l: 2, h: 1, g: 2}. Give prob of picking 2 g, 1 f, and 1 v. 1/35 What is prob of picking 1 u and 1 f when two letters picked without replacement from lwluwfwlfluldslsw? 1/34 Calculate prob of picking 2 x when two letters picked without replacement from {x: 3, n: 1, q: 2, b: 4, o: 1, v: 1}. 1/22 Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {h: 2, r: 1, l: 1, d: 2, p: 9, a: 3}. 1/51 Calculate prob of picking 2 z and 1 j when three letters picked without replacement from jjwzzjjjzjzwa. 18/143 Two letters picked without replacement from zllzzly. Give prob of picking 1 y and 1 l. 1/7 Four letters picked without replacement from {m: 3, f: 2, s: 1, t: 4}. Give prob of picking 4 t. 1/210 Three letters picked without replacement from qoococooococococco. What is prob of picking 1 q, 1 c, and 1 o? 35/408 What is prob of picking 4 m when four letters picked without replacement from memmemmm? 3/14 Three letters picked without replacement from pprrrp. What is prob of picking 3 r? 1/20 What is prob of picking 1 c and 2 q when three letters picked without replacement from {b: 1, c: 6, g: 7, q: 5}? 20/323 Three letters picked without replacement from mumumummmmmmmmmm. Give prob of picking 2 m and 1 u. 117/280 Calculate prob of picking 2 j and 1 n when three letters picked without replacement from jnnnnjjnjo. 1/4 Four letters picked without replacement from ggggggg. What is prob of picking 4 g? 1 Four letters picked without replacement from {a: 2, q: 1, s: 1, h: 1, e: 2}. Give prob of picking 1 q, 1 e, and 2 a. 2/35 Two letters picked without replacement from {f: 3, x: 2}. What is prob of picking 2 f? 3/10 Two letters picked without replacement from dtwwttttdwwdtdd. What is prob of picking 1 t and 1 w? 8/35 What is prob of picking 3 g and 1 y when four letters picked without replacement from ynnyyyyggyggyy? 32/1001 What is prob of picking 2 p, 1 o, and 1 w when four letters picked without replacement from opwpyppppyppwppw? 27/364 Two letters picked without replacement from {u: 1, b: 1, x: 2}. What is prob of picking 1 u and 1 x? 1/3 Calculate prob of picking 2 c and 2 w when four letters picked without replacement from {w: 8, b: 5, o: 4, c: 2}. 7/969 Calculate prob of picking 2 o and 2 m when four letters picked without replacement from {m: 4, o: 2}. 2/5 Calculate prob of picking 1 e and 1 i when two letters picked without replacement from {i: 2, d: 1, w: 4, e: 2}. 1/9 Two letters picked without replacement from {k: 5, l: 3}. Give prob of picking 1 k and 1 l. 15/28 Two letters picked without replacement from nnnll. Give prob of picking 1 l and 1 n. 3/5 Two letters picked without replacement from ejgfjefrffsjjrjjs. What is prob of picking 1 g and 1 s? 1/68 Calculate prob of picking 2 d, 1 b, and 1 s when four letters picked without replacement from wdsdbbwa. 1/35 Two letters picked without replacement from {v: 1, g: 1, y: 1, f: 1, x: 1}. Give prob of picking 1 v and 1 f. 1/10 Calculate prob of picking 3 w when three letters picked without replacement from wwuwwuuwwu. 1/6 Two letters picked without replacement from {p: 2, d: 2, j: 1, m: 1, l: 1}. What is prob of picking 1 m and 1 p? 2/21 Two letters picked without replacement from {i: 3, f: 11}. Give prob of picking 2 f. 55/91 Calculate prob of picking 3 j when three letters picked without replacement from {j: 5, q: 9}. 5/182 What is prob of picking 1 h and 2 c when three letters picked without replacement from {x: 2, c: 2, h: 1}? 1/10 Calculate prob of picking 2 j when two letters picked without replacement from jhvqvhjq. 1/28 Calculate prob of picking 1 q and 1 n when two letters picked without replacement from nqqy. 1/3 Calculate prob of picking 2 w and 1 i when three letters picked without replacement from wiiwwwwiiw. 1/2 Calculate prob of picking 4 t when four letters picked without replacement from {t: 5}. 1 Four letters picked without replacement from {h: 2, r: 2, d: 8}. Give prob of picking 1 h, 2 r, and 1 d. 16/495 Calculate prob of picking 1 f and 2 o when three letters picked without replacement from {w: 2, o: 4, j: 10, f: 1}. 3/340 Four letters picked without replacement from {u: 7, e: 2}. What is prob of picking 2 e and 2 u? 1/6 Three letters picked without replacement from tvntvtntvvnnnnnvnt. What is prob of picking 3 v? 5/408 What is prob of picking 2 x when two letters picked without replacement from tmhhhhamhxht? 0 Two letters picked without replacement from {y: 3, t: 8, a: 2, c: 1, z: 1, d: 5}. Give prob of picking 2 t. 14/95 Calculate prob of picking 3 g when three letters picked without replacement from {t: 1, g: 9, j: 1, e: 3}. 3/13 What is prob of picking 2 k and 1 j when three letters picked without replacement from kwwwjkkwkkk? 1/11 Calculate prob of picking 1 u and 2 r when three letters picked without replacement from {r: 9, u: 3}. 27/55 What is prob of picking 3 v when three letters picked without replacement from xxxxxxvxxvvvxvxxvx? 5/204 What is prob of picking 1 v and 1 s when two letters picked without replacement from svvysysvlvy? 12/55 What is prob of picking 3 c when three letters picked without replacement from {c: 12, k: 6}? 55/204 Two letters picked without replacement from fyffyfyfyfffy. Give prob of picking 1 f and 1 y. 20/39 What is prob of picking 2 e when two letters picked without replacement from {o: 7, e: 9}? 3/10 Four letters picked without replacement from jlbbwjbgjw. Give prob of picking 2 w and 2 j. 1/70 Calculate prob of picking 1 k and 2 l when three letters picked without replacement from {l: 3, m: 9, b: 2, j: 1, k: 3}. 3/272 Two letters picked without replacement from qmmbuvuumuv. What is prob of picking 1 b and 1 u? 4/55 What is prob of picking 2 y and 1 n when three letters picked without replacement from yyynh? 3/10 Ca
{ "pile_set_name": "DM Mathematics" }
898 + 297 = -l. What is the remainder when l is divided by 76? 70 Suppose -8*b = -15*b + 126. Suppose 3*g - 316 = 14. Let n = g - 4. What is the remainder when n is divided by b? 16 Let t = 1548 + -1509. What is the remainder when t is divided by 15? 9 Let s = 91 + -46. Calculate the remainder when (-40 - -69) + -16 + 164 is divided by s. 42 Let x(s) = s**3 - 12*s**2 + 11*s - 1. Let z be x(11). What is the remainder when 277 is divided by (4 - 11) + 10 - z*17? 17 Suppose -2*m + i + 166 = 0, 7*m - 3*i = 11*m - 312. What is the remainder when 4453 is divided by m? 79 Suppose 5*g - c - 3 = 0, 0*g + 2*g + c = 4. What is the remainder when (26/6)/(g/9) is divided by (10 - (-253)/(-33))/((-2)/(-6))? 4 Let d = -213953 + 213962. Let z(k) = k**3 + 4*k**2 - 7*k - 5. Calculate the remainder when d is divided by z(-5). 4 Let p = -16439 + 16869. What is the remainder when p is divided by 215? 0 Let x(f) = 4*f - 2. Let t be x(1). Let q(d) = d**t - 3 - 3*d + 1 + 5*d - 11. What is the remainder when 108 is divided by q(-7)? 20 Suppose -321 = 2*n - 5*n. What is the remainder when n is divided by 26 - (6*(-1)/(-4))/((-168)/224)? 23 What is the remainder when 82 is divided by (6/(-7))/((-912)/23408)? 16 Suppose 415 + 278 = 77*q. Suppose 0 = -p - 0*p + 375. Calculate the remainder when p is divided by q. 6 Let u(z) = 26*z**2 - 2*z - 2. Let k be u(-2). What is the remainder when 99 is divided by (31 + -32)/((-2)/k)? 46 Suppose -4*y - 87 = -3*z, z - y - 310 = -283. What is the remainder when 208 is divided by z? 19 What is the remainder when (23042/30)/1 + (-255)/3825 is divided by 195? 183 Suppose -22*d + 200 = -2454 - 338. Calculate the remainder when d is divided by 59. 18 Suppose 412*r = 407*r + 175. Calculate the remainder when 155 is divided by r. 15 Suppose -48*m - 444 = -52*m - 5*r, 4*m - 4*r = 480. Suppose -2*c + 105 = c + 3*j, 8 = -4*j. Let w = -20 + c. Calculate the remainder when m is divided by w. 14 Let d = -11905 + 12152. What is the remainder when d is divided by 116? 15 Suppose 0*g + 4*g - 21 = -p, 4*p - 4 = 0. Suppose -x = -g*x + 84. Suppose -4*q - 90 = -h, 2*q + 78 = 2*h - 90. Calculate the remainder when h is divided by x. 19 Suppose -f = -5*q - 1761, -f - q = -1282 - 449. What is the remainder when f is divided by 26? 20 Let n = -11011 - -11018. Let t(b) = -7*b - 2. What is the remainder when t(-3) is divided by n? 5 Suppose 4*i - 6*i - 4*f = -46, i = f + 41. What is the remainder when 254 is divided by i? 9 Let s be 2 + 1 + -3 - (0 + -2). Suppose -s = 2*i - 16. Calculate the remainder when 2 + 14/2 + -2 is divided by i. 0 Suppose 9*y - 5*p = 5*y + 173, 2*p - 124 = -3*y. What is the remainder when 313 is divided by y? 19 Suppose -13*p - 92 = 90. What is the remainder when 1/((-3)/9) - (-44 + 2) is divided by (p/4)/(18/(-72))? 11 Suppose -36 = 17*c - 29*c. Calculate the remainder when 23 is divided by -38*1/(-6) - c/9. 5 Let t(n) = -n + 30. What is the remainder when t(-11) is divided by ((-737)/(-77) - -12) + (-4)/7? 20 Suppose -16 = -4*q, -578 = 2*a - 4*q - 1534. What is the remainder when a is divided by 11? 2 What is the remainder when (-500)/(-375) + 1/(-3)*-599 is divided by 70? 61 Let x = 82 + -87. What is the remainder when x + (-130)/(-25) + (-188)/(-10) is divided by 4? 3 Let u(m) be the second derivative of m**4/12 + 2*m**3 - 102*m**2 + 149*m. What is the remainder when 363 is divided by u(10)? 11 Let l = 860 - 766. Suppose -11*z = -15*z + 96. Calculate the remainder when l is divided by z. 22 Let n = 204 - 145. Suppose 2*k - 1640 = -12*s, -5*k + s + 4559 = 1048. Calculate the remainder when k is divided by n. 57 Let o be -5*3*(-8)/60. What is the remainder when (959/105 - 9) + 1168/15 is divided by (-1 - o)*(-64)/12? 14 Let t(c) = 8*c + 131. Let a = 27 - 26. Let x = 13 - a. Calculate the remainder when t(-9) is divided by x. 11 Let s = -1949 - -1969. What is the remainder when 1777 is divided by s? 17 Suppose -360*a + 1330 = -353*a. Let s = -142 + a. What is the remainder when 141 is divided by s? 45 Suppose -5*b + 9142 - 792 = 5*d, 0 = d - 3*b - 1638. Calculate the remainder when d is divided by 20. 2 Suppose 21 - 45 = -3*z, 0 = 4*y + 5*z - 8084. What is the remainder when y is divided by 287? 2 Suppose -3*h + 1632 = 99*h. Suppose 2*p - 243 = -31. What is the remainder when p is divided by h? 10 Let c(o) = -2*o**3 - 2*o**2 + 207*o - 43. Calculate the remainder when c(-14) is divided by 196. 195 Suppose -12*o + 418 = -1274. Calculate the remainder when o is divided by 42. 15 Suppose -20*z - 5*g = -70 - 90, g - 11 = -z. Calculate the remainder when 1 + -134*3/(-6) is divided by z. 5 Suppose 0 = -8*t + 4*t + 24. Let l(g) = -3*g**2 - 77*g - 38. Let v be l(-25). Suppose -21*n = -17*n - v. Calculate the remainder when t is divided by n. 0 Suppose 2*n - 25986 = -3*y + 7*n, -4*y + 34648 = -n. What is the remainder when y is divided by 12? 10 Suppose 0 = -4*o - 3*a + 140, a + a = -o + 40. Suppose -5*w = -2*w. Suppose w = -v - o + 60. Calculate the remainder when 83 is divided by v. 27 Calculate the remainder when 1 + (-104)/(-13) - -1961 is divided by 115. 15 Let s = -5 - -15. Let f = 2926 - 2838. Calculate the remainder when f is divided by s. 8 Let f = 31 - 34. Let m = f + 21. Let c = m - -3. Calculate the remainder when 82 is divided by c. 19 Suppose -79*r + 15*r = 97*r - 2415. Calculate the remainder when 13859 is divided by r. 14 Let b(w) be the second derivative of 5*w**4/12 - 2*w**3/3 - 5*w. Suppose -470*u + 473*u = 288. Calculate the remainder when u is divided by b(3). 30 Let k = -43 + 58. Suppose k + 5 = -o. What is the remainder when (-253)/(-4) + o/80 is divided by 32? 31 Suppose o - 10 = 251. Suppose -81*c = -1510 - 272. Calculate the remainder when o is divided by c. 19 Suppose -5*w - 1125 = -3*p, -w - 2*p = 189 + 49. Let r = 287 + w. Calculate the remainder when r is divided by -2 + (-3)/(6/(-46)). 17 Let b = -42 - -44. Let k(m) = 17*m**2 + 8 - b + 28*m - 43*m - m**3 + 8. What is the remainder when 117 is divided by k(16)? 27 Let h = -5 + 182. Let j(s) = -9*s - 41. Let u be j(-14). Let y = h - u. What is the remainder when y is divided by 31? 30 Suppose 10 = -3*j - 4*d - 7, -j - 5*d = 24. Calculate the remainder when 91 is divided by (-966)/(-161)*((-26)/(-3) - j). 45 Suppose 0 = -5*k + 4*d + 2139 + 938, 10*k - 6050 = -5*d. Calculate the remainder when k is divided by 113. 44 Let b = -16 - -22. Let u(m) = 2*m**3 - 12*m**2 + 2*m + 7. Calculate the remainder when 302 is divided by u(b). 17 Let m = -31 + 8. Let c = -29 - m. Let z(n) = -7*n - 35. Calculate the remainder when 34 is divided by z(c). 6 Let k(z) = z**3 + 13*z**2 - 16*z - 18. Let u be (-40)/3 + (-6)/9. What is the remainder when 46 is divided by k(u)? 6 Suppose -26*s - 1090 = -2052. What is the remainder when 64 is divided by s? 27 Suppose -12*r - 3*i = -159, 35*r - 31*r = -2*i + 50. Let n(c) = 31*c + 1. What is the remainder when n(4) is divided by r? 13 Let q be (-15)/((-525)/10)*7. Suppose f + q*f = 153. Calculate the remainder when f is divided by 46. 5 Let v = -37 - -69. Calculate the remainder when 116 + 6/(-9)*(-10 + 4) is divided by v. 24 Let s = 12366 - 1199. Calculate the remainder when s is divided by 51. 49 Suppose -5*d = -2*h + 247 - 196, 0 = 5*h - 2*d - 159. What is the remainder when 1432 is divided by h? 13 Let i be (-40)/50*(-115)/2. What is the remainder when 250 is divided by 2/((14/21)/(i/6))? 20 Let j = -21 + 27. Let z be ((-10)/15)/(-2) + 46/j. Suppose w = z*w - 98. Calculate the remainder when 66 is divided by w. 10 What is the remainder when ((-324)/(-96)*2)/(6/80) is divided by 44? 2 Calculate the remainder when 75/(-50) + 98940/40 is divided by 9. 6 Suppose 4*o = -i - 198, 3*i + 4*o + 792 = -i. Calculate the remainder when 525 is divided by ((-5)/(15/i))/(9/12). 85 Suppose 3*l - 131 + 47 = 0. Suppose -3*n + 7 = 1, 4*g + 2*n - 892 = 0. Calculate the remainder when g is divided by l. 26 What is the remainder when (-7112073)/(-3396)*(0 + -1 - -5) is divided by 63? 61 Let v(i) = i**2 - 43*i + 319. Let z be v(36). Suppose -z + 330 = w. What is the remainder when w is divided by 33? 32 Let t(y) = -y**3 - 13*y**2 - 31*y + 3. Suppose 490 = -2*o + 7*o. Suppose r = -r + o. What is the remainder when r is divided by t(-10)? 10 Let g = -259 + 259. Su
{ "pile_set_name": "DM Mathematics" }
4*o + n*o - 1 = 0 for u. 1 Suppose -w + 6*p - 4 = 3*p, -12 = -4*p. Suppose 0 = x + x - 5*t - 16, x - w = t. Solve -n + 15 = -3*j, j - x*n = 1 - 6 for j. -5 Let b(i) = -i**3 - 17*i**2 - 16*i + 4. Let j be b(-16). Suppose 2*x + 2*x - 20 = 0. Solve -a - a + f = j, -x*a + 4*f - 10 = 0 for a. -2 Suppose -u + 16 + 9 = 0. Solve 6*h - 3*h + b - 11 = 0, -5*b = -u for h. 2 Let l(b) = -b**2 - 3*b - 2. Let f be l(-2). Suppose f = 14*x - 9*x - 65. Solve -2*j - 5*o = -5*j + 10, 3*j - 2*o - x = 0 for j. 5 Suppose -3*r + 15 = -0. Suppose -4*l + 18 = 2*j + l, 8 = -4*j + l. Let c = 4 - j. Solve c*p + 5*k = -r, k = p - k + 7 for p. -3 Suppose -6*a + 1 + 17 = 0. Let t(b) = -b - 4. Let x be t(-7). Solve -n + 1 = 4*l - 16, a*n = 4*l + x for l. 3 Suppose -2*r = -4*r. Suppose -3*c = -5*n - 31, 2*c - 2 + 3 = -n. Solve d + 2 = -a, r = c*a - 6*a for d. -2 Suppose -2*g = g - y - 10, 0 = 2*g + 2*y - 12. Solve -2 = -k + r, r - g = -3*k - 14 for k. -2 Suppose t + 3*t - 20 = 3*b, b = t - 5. Suppose -r = -b - 4. Solve -z = 5*c - 2*z - 18, 2*c + r*z = 16 for c. 4 Let n be ((-15)/10)/(6/(-16)). Let c = -1 + 3. Suppose 3*x - c*y = 2*y - 8, 0 = 5*x - y + 2. Solve 4*b = -n*p - 28, x*p - p + 2*b + 5 = 0 for p. -3 Let r = 23 + -15. Suppose -3*a = -6*a + 6. Suppose a*v - r + 0 = 0. Solve v*s - 4*j + 8 + 0 = 0, 5*s - j = -2 for s. 0 Suppose -5*k + 24 = 3*i - 2*i, 3*i - 28 = -4*k. Suppose -14 = -2*x + n - 2, 2*n - 8 = -k*x. Solve -5*w + q - 24 = 0, 7*w - 5*w = -x*q - 14 for w. -5 Let h be (7/(-14))/((-27)/(-14) - 2). Solve 2*t - 14 = -5*z + h, 3*z - 23 = 4*t for z. 5 Let r = 2 + 3. Let v = 0 + r. Solve y + 6 = -k, -2*k - v*y - 4 - 11 = 0 for k. -5 Let t(h) = -5*h - 8. Let i be t(-2). Suppose -2*b - 6 = b. Let y be b - 2*(-2)/2. Solve 5*o + i*p - 6 - 3 = y, -4*p + 9 = o for o. 1 Let k = 9 + -5. Solve 0 = g - 4*u - 15, -u - k*u = 15 for g. 3 Let d = -119 + 124. Solve d*x + 2*v - 11 = 5*v, -8 = 4*v for x. 1 Let m be 1*-1 - (2 + -4). Let f = 8 + m. Let b = -6 + f. Solve -4*j = -y - 3, j + 2*y = -0*y + b for j. 1 Suppose 5*t - 2 - 13 = 0. Let s be 112/24*(-6)/(-7). Solve h = -t*a, -a + s*h + 11 = -2 for a. 1 Let c be (-2)/(-5) - (-72)/45. Suppose 4*k = -0*k + 5*m + 35, -c*m + 42 = 4*k. Solve -a + k = -4*b, a - 2*a = 2*b + 2 for b. -2 Suppose -t = -5*d + 3*t + 20, t = -2*d + 8. Solve 0*x + 8 = d*v + 5*x, 0 = 3*x for v. 2 Suppose -20*m = -18*m - 10. Solve f = m*n - 17, -4*f - 20 = -5*n + n for n. 3 Let t be 4/(-6) - (-3)/(-9). Let i be (-680)/(-16) + t/2. Suppose 3*y - i = 2*c - 0*c, 5*y = -4*c + 70. Solve -2*q - y = 2*f, -4*f = -2*q - 3*q - 8 for q. -4 Let g = -6 - -8. Suppose -3*f - g = -4*f. Suppose -i + 87 = f*i. Solve -2*r + 5*r + 5*p = -22, -i = -4*r + 5*p for r. 1 Suppose 21*p = 13*p + 40. Solve -k - 14 = -p*k + 2*b, 0 = b + 1 for k. 3 Suppose 0 = -2*d + 6. Let n = 10 + -7. Solve 0*p = p - 4*c - d, -n*p = 2*c + 5 for p. -1 Let q be (-4 - -3)*(0 + -2). Suppose q*c - 4*n + 10 = 0, -3*c + 0*n = n - 20. Solve 2 = 2*j, -w - c - 4 = -5*j for w. -4 Suppose -7*p + 2*p = -20. Suppose 5*s - 2*u = 156, -138 = -4*s - 5*u - 0*u. Suppose 0 = 13*k - 3*k - 360. Solve -3*v = -p*o - o + s, -4*o = -5*v - k for v. -4 Suppose 4*h + h - 38 = t, -2*h = -3*t - 10. Suppose -3*j - 38 = 2*c, 0 = -5*j + c - 0*c - 46. Let u = 13 + j. Solve -u*g + 2*g - 19 = -4*a, -a = 3*g - h for g. 1 Suppose 4 = -3*j + 10. Suppose -3 = -g + j. Solve g*b - 3*s + 1 = -10, 0 = 3*b + 5*s - 7 for b. -1 Let g = -9 - -14. Solve -5*s - g*j = 0, -s = 2*s - 4*j + 28 for s. -4 Let t = 3 - -8. Suppose i + 4*h = 0, 4*h - 9 = 4*i + t. Let g be (i - 1)*2/(-5). Solve 2*r + 26 = 7*r + g*l, 0 = 5*r + l - 23 for r. 4 Let h = 33 + -20. Let g(n) = h*n + 3*n**3 + 7 - 1 - 2*n**3 - 11*n**2. Let x be g(10). Solve 0 = -5*a + 4*b + x, 28 = 3*a - 4*b - 0*b for a. 4 Let k be (-12)/(-9)*(-18)/(-12). Solve p = -3*r + 2*r, k*p = -r - 1 for r. 1 Let q be (-4)/(-2)*(1 + 0). Let l = 0 - -5. Let i(n) = 4*n - 15. Let h be i(10). Solve -q*a = 3*a - h, 0 = -l*k + a + 15 for k. 4 Suppose -2*g + 5*g = 0. Suppose g = -2*k - 0*k. Suppose 5*u - 4*d + 0*d = 0, 3*u + 3*d = k. Solve u = a + 4*a - 2*y - 15, 5*a = -y for a. 1 Suppose -4*s + 4 = 0, -a + 3*s - 4*s = -3. Solve 2*u + 2 + 4 = 2*n, 15 = a*n - 5*u for n. 0 Suppose 5*h = -2*v - 2, -3*v - 3*h + 6 = -0*h. Solve -2*z = -v*o - 2 - 4, 3*z - 9 = -5*o for z. 3 Let o = 16 + -13. Suppose -6 - 9 = -o*n. Solve -2*l = 5*r + n, 4*l + 17 = -3*r - 0*l for r. 1 Let h be 6*4/16*2. Let i be 36/h*2/6. Solve 5*c - 2*j = j - 5, 0 = -4*c + 4*j - i for c. -1 Let n(i) = -i**2 + i + 5. Let c be n(0). Solve -3*h + 2*m + 9 = -0*h, 3*m + c = -4*h for h. 1 Let s = -11 + 14. Let r(l) = l**3 - 3*l**2 + 4*l - 2. Let t be r(2). Solve o + s = 3*x, -x - 8 = -4*o + t for o. 3 Suppose -2*k - k - 9 = 0. Let q be -4 - k - (-178)/(-2). Let y be q/(-21) + (-4)/14. Solve y*a + 4*n - 13 = 11, 0 = -4*a - 3*n + 23 for a. 5 Let i(a) = -11 + 22 - 15 - a**2 + 5*a. Let v be (-2)/2 - 1*-5. Let u be i(v). Solve -3*h = 3*q - 3, u = 3*q - 4*q + 2*h - 8 for q. -2 Let z(y) = -y**3 - y + 3. Let g be z(0). Suppose g*w = w + 16. Solve 2*u + 0*q + q = -4, 5*u = -3*q - w for u. -4 Let g(l) = -l + 12. Let f be g(7). Solve 4*b - f*w - 21 = -0, -5*b = 3*w + 20 for b. -1 Suppose -4 = -4*t + 2*t. Solve -t*d + 15 = -3*z, 4*z - 2*z + 10 = -4*d for z. -5 Suppose w - 7 = -3. Solve -5*y + 3 = 2*k - 2, 5*y - 5 = -w*k for k. 0 Let j be 4 + 78/(-21) + 12/7. Solve 0 = 2*x, -j*x - 3 - 1 = -c for c. 4 Let f = 4 + -2. Let s(z) = -z**2 + z + 9. Let c be s(0). Let i be (c/(-6))/((-2)/4). Solve -4*a + 0 = r - f, 0 = -2*a - i*r - 4 for a. 1 Let x(f) = -f**2 + 11*f - 8. Let j be x(9). Suppose -j = -2*y - 3*y. Solve y*s - 1 = 4*p - 17, -2*p = s - 12 for s. 2 Let l(w) = -w**2 - 6*w + 17. Let p be l(-7). Solve 3*y + 5*g = -y + 45, p = -2*y + 4*g for y. 5 Let k = 73 - 71. Solve -2*u + k - 8 = 0, -5*c - 3*u - 14 = 0 for c. -1 Let k = -29 - -32. Solve -s - 4*o = -0*o + 5, k*s - 4*o = 1 for s. -1 Let h be (-5)/(-1)*8/(-5). Let k be 18/8 - (-2)/h. Solve 0 = -2*c - k*g, -g + 3 = 5*c - 1 for c. 1 Suppose -3*v - n = -9, 3 = v - 0*n - 5*n. Suppose 2*w = -v*w. Suppose w = 4*u - 2*u - 34. Solve 5*o + 2*m + u = 0, -o - 7 = -0*o + 4*m for o. -3 Let v(n) = -n**3 - 5*n**2 + n + 8. Let g be v(-5). Solve -k - 2 = -h - 4, g*h = -2*k + 19 for k. 5 Let h be 1/2 + 9/6. Suppose h*p + 2*n + 2 = -0, 4*n + 4 = -3*p. Solve -t + 3*y = 9, t + t - y + 3 = p for t. 0 Let f = -1 + 3. Suppose -a - f*a = -15. Solve 5*d + 10 = a*t, -10 = -0*d - d + 5*t for d. -5 Suppose 23 = 5*g - 2. Solve -4*t = -g*q - 13, -t = q - 0 - 1 for q. -1 Suppose 0 = 4*f - 0*u + 2*u - 258, 5*f - u - 312 = 0. Let a be f/12 - 1/4. Solve 5*n = 5*q - 15, -17 = -q - 2*q + a*n for q. -1 Let i(t) be the first derivative of t**3/3 - 2*t + 7. Suppose 6 = 2*k + 2. Let u be i(k). Solve 5*r + u*g = 5, g - 15 = 4*g for r. 3 Suppose 5 = 5*b, -4*n + 0*b + 2*b + 10 = 0. Solve -n*m = -2*g + 14, -m - 5 = 2*g - 3*g for g. 1 Let d be (6/(-3) + 2)/2. Solve 5*b - 5*g + 7 - 2 = d, -5*g = -b - 13 for b. 2 Let d = 50 + -35. Solve -4*y - s - d = 0, -15 = 2*y - 3*y - 4*s for y. -5 Suppose 7 = r - g - 27, 0 = 3*r + 3*g - 108. Solve 0 = 5*s + 2*w + 29, -5*w - r = 5*s - 0*s for s. -5 Suppose 0 = 10*d - 13*d + 27. Let u(s) = 2*s - 9. Let m be u(6). Let h = 5 + -3. Solve -m*j - d = -y, -5 = -y + h*j - j for y. 3 Suppose 15 = 5*k - 5. Suppose -3*x + 21 = k*c, 9*c - 15 = 4*c. Solve 2*z + 4*w = -20, -3*z + 2 = x*w + 23 for z. -4 Suppose 4*f - 5*h = 5*f + 20, -2*f - 10 = 4*h. Solve -f*j - 3 = -q - 13, 5*q - 16 = 3*j for q. 5 Suppose 2*g - 4 = 4*q, 0*g - q - 7 = -2*g. Solve 4*j = 4*b - 0 - 40, j = g*b - 25 for b. 5 Let o be (3/(-2))/((-9)/12). Suppose 0 = o*z - 3*z + 2. Let a(u) = -u - 11. Let h be a(-14). Solve 16 = -h*f + f - 2*d, -4*f - 2 = -z*d for f. -3 Suppose -t - 6 = 3*n, 2*t + n + 1 = 14. Solve -4*a - 2*v + t = -v, -5*v + 7 = a for a. 2 Let y(i) = -i**2 - 6*i + 10. Let f be y(-7). Solve -2 = 5*t - b + f, 2*b - 10 = -2*t for t. 0 Suppose -5*i + 2*w + 9 + 15 = 0, -6 = -3*i + 4*w. Solve 2*q = -2*r + q - 3, i = -5*r - 3*q for r. -3 Let p(q) = -q**2 + 6*q - 3. Let b be p(5). Suppose l - b*l = 0. Solve -4*m + 2*w - 26 = l, 4*m - m + 21 = 2*w for m. -5 Suppose -4*l = 3*v - 0*l + 8, -5*v - l = -15. Solve 4*s = v*c - 20, -c = 2*s - 0*c - 2 for s. -1 Let o(j) = j**2 + 7*j + 8. Let n be o(-6
{ "pile_set_name": "DM Mathematics" }
Is (-1 + 10/6)*147 a multiple of 98? True Suppose -k = 4*u - 1, -5*u = -6*u - k + 1. Let j be u + 12/(-9)*-3. Suppose 5*m - 64 = -4*l, 3*l + j*m = 6*l - 48. Does 9 divide l? False Let t = -28 + 32. Suppose 0*v + t*v = 300. Does 15 divide v? True Let g(u) = 4*u**2 + 4*u + 1. Let o be 1/(-5) + 434/70. Let a(j) = -17*j**2 - 15*j - 5. Let d(l) = o*a(l) + 26*g(l). Is d(-11) a multiple of 28? True Let q(i) = 207*i + 620. Does 26 divide q(7)? False Suppose -2*r - 4*o = -6 - 20, 4 = o. Let a(i) = 2*i + 2*i - 10 + i**2 - 1. Does 12 divide a(r)? False Is 18 a factor of (-288)/(-2) + (10 - 2) + -8? True Let h be -2 + (-2 - (1 + -8)). Suppose 0*x = x. Suppose 5*s + 4*g = 40, -4*s + h*g - 3 + 4 = x. Does 4 divide s? True Let m be (1/(2/4))/1. Suppose x = 4*x - w - 7, -m*x + 13 = w. Suppose -41 = -x*l + 7. Is l a multiple of 12? True Suppose -d + 3 + 20 = 0. Suppose 4*u - 5*w = d, -2*w = 3 + 3. Suppose 4*b = -u*i + 266, -62 = -2*b + b - 2*i. Is b a multiple of 23? False Let f(x) = -3*x + 3. Let z(b) = 56*b - 56. Let h(p) = 8*p - 8. Let c(y) = 40*h(y) - 6*z(y). Let r(o) = 4*c(o) - 22*f(o). Is 9 a factor of r(10)? True Let k(v) = 76*v + 44. Is 20 a factor of k(10)? False Suppose 5*r = -0*r + 30. Let s(o) = 22*o - 6. Let b be s(r). Suppose 0 = -n + 4*n - b. Does 14 divide n? True Is (-2)/(-4) + 15*(-19)/(-6) a multiple of 8? True Let h = 17 + -17. Let z(i) = 8*i**2 + i**3 - 9*i**2 + h*i**2 + 16. Is z(0) a multiple of 16? True Suppose -4*w + 60 = 4*z, 0*w - 85 = -5*z + 5*w. Suppose 10 = -5*b, 3*g - 2*b - z = 69. Is g a multiple of 27? True Let m be -4 + 42 + 3 + -2. Let w be ((-5)/3)/((-1)/m). Suppose -4*f = -43 - w. Is f a multiple of 5? False Suppose -2*k + 416 = 8*j - 4*j, -2*k + 392 = -2*j. Is k a multiple of 10? True Suppose 0*l - 24 = -6*l. Suppose -3*v = -5*s + 252 - 64, -l*s + 143 = 5*v. Does 15 divide s? False Let n(s) = 87*s + 4. Let z(u) = -349*u - 16. Let c(y) = 18*n(y) + 4*z(y). Let o be c(4). Does 26 divide o/(-12)*15/(-10)? False Suppose -2*q = -21*t + 17*t - 6, 2*t - 2 = 0. Let m = q - -21. Is 13 a factor of m? True Let v(w) = -w**3 - 10*w**2 - 24*w + 27. Does 8 divide v(-10)? False Suppose 876 = 5*g - t, 5*g = 2*g + 5*t + 530. Suppose 6*j - 137 - g = 0. Is j a multiple of 26? True Suppose -5*d - 19 = -2*t, 5*t + 4*d - 2*d = 4. Suppose -3*m = x - 7, t*x - 2*m = -6*m + 18. Does 13 divide x? True Let p(t) be the second derivative of -t**4/12 - 7*t**3/6 - t**2 + 41*t. Is p(-5) a multiple of 3? False Let r be (-2)/(-8) - (-198)/(-24). Let q(f) = -7*f - 11. Let i be q(r). Is (4/5)/(3/i) a multiple of 12? True Let a(x) = x**3 - 6*x**2 + 14. Let u be a(6). Suppose u = -2*o + 86. Suppose k + 5*j = o, j - 6 = 4*j. Does 13 divide k? False Let j(b) = -8*b + 11. Let q be j(4). Is q/(-1) - (-1)/(5/15) a multiple of 2? True Suppose -4*i + 5*b = -2100, i - 508 = -b - 2*b. Is 10 a factor of (0 + -1)/(i/(-172) - -3)? False Let z(c) = c**3 + 13*c**2 + 18*c - 17. Let d be z(-13). Let y = 371 + d. Is 12 a factor of y? True Let x(i) = 19*i + 20. Suppose -2*s + 2*t + 1 = -1, -s = 4*t - 21. Is x(s) a multiple of 23? True Suppose -361 = 2*h + o, 3*h = -o - 2*o - 543. Let i = h + 310. Let d = -76 + i. Does 18 divide d? True Let o = 4095 - 2023. Is o a multiple of 10? False Is (-20484)/45*(-15)/12 a multiple of 29? False Let c(z) = z**2 - 3. Let l be c(2). Let a(m) = -l + m - 2*m + 14*m + 31*m. Does 6 divide a(1)? False Let b = 6 - 21. Is ((-6)/(-15) - 1)*b a multiple of 2? False Let m = -1847 - -2987. Is m a multiple of 19? True Let q(y) = 267*y**3 - y**2 - y - 2. Let x be q(2). Suppose 4*k - r + x = 0, -2*k + 3*r = -662 + 1736. Is k/(-9) + 1*2 a multiple of 20? False Suppose -12*k + 48 = -4*k. Let c(f) = 13*f - 15. Does 21 divide c(k)? True Is (-1 + 9/5)*(483 - 18) even? True Let z(g) = 4 - 6 + 3 - 13*g + 1. Let k be z(-1). Suppose k = 5*v, 4*s + v - 4*v = 547. Does 30 divide s? False Is 6 a factor of ((-236)/(-5))/((-90)/(-1350))? True Suppose 3*u + 22 = u. Does 13 divide 2/5 - u/((-275)/(-1290))? True Let n(f) = -f**3 + 2*f + 177. Is 41 a factor of n(0)? False Suppose -2*m + 2221 = l + 2*l, -3702 = -5*l - 3*m. Suppose 0 = -12*g - l + 2541. Is g a multiple of 15? True Let k be (-48)/(-14)*(6 + 1). Let h be -10*(-3 + 0 - 0). Suppose c + p = h + 6, c - k = -4*p. Does 20 divide c? True Let q be -3 + 0 + (-6 - 0 - -115). Is 9 a factor of (q/12)/((-12)/(-72))? False Suppose 0 = 4*j + j. Suppose q - 84 = -j*q. Does 28 divide q? True Let t(j) be the second derivative of 0 + 5/2*j**2 + 7/6*j**3 + 1/3*j**4 + 7*j. Is 14 a factor of t(-5)? True Is 48 a factor of 2/(-8) + 19816/32 + 5? True Let b(k) = -287*k + 25. Is b(-4) a multiple of 17? True Let q(y) = 2*y**2 + 12*y - 22. Let h be (-1 + (-13)/(-3))/(1/(-3)). Does 6 divide q(h)? False Let r be (-16)/(-88) + (-167)/11. Let v = -15 - r. Let k(l) = -l + 28. Is k(v) a multiple of 14? True Suppose -4 = 3*r + 11, 4*v - 5681 = 5*r. Does 14 divide v? True Let w(c) = -39*c**3 - 14*c**2 - 47*c - 4. Does 19 divide w(-3)? True Let r be 2/3*(2 + 29/2). Suppose -2*o + 35 - r = 2*s, 0 = 3*s - 2*o - 41. Is s a multiple of 3? False Suppose -19*i + 21*i = 0. Suppose -4*m + 4*a = -i*a - 920, 4 = 2*a. Suppose -2*z + 100 = -3*u - u, -m = -5*z + 4*u. Is z a multiple of 11? True Let h = 183 - 124. Suppose h + 321 = 5*g. Suppose -4*o + 100 = -g. Is 13 a factor of o? False Let l = -766 + 882. Does 2 divide l? True Does 2 divide -2 + 2120/76 + 6/57? True Let w be (9/4)/((-2)/8). Let j = w - -12. Suppose 25 = j*q + 7. Is q a multiple of 2? True Suppose 20 = 5*o - 5*k, -2*o + 24 + 8 = 4*k. Suppose -12*v + o*v = -232. Suppose -3*r + v = -r. Does 14 divide r? False Let d(l) = 4*l - 21. Let w(f) = f - 2. Let i be w(8). Does 2 divide d(i)? False Suppose 4*m - 5 = 7. Is m*-6*(-2)/9 a multiple of 2? True Let n = 0 - -4. Suppose 106 = 2*y + j + n*j, y + 5*j = 58. Does 12 divide y? True Let d = -31 + 22. Let q = d - -69. Suppose n - s - q = 0, 6 = -s + 3*s. Is n a multiple of 34? False Let v(i) = 2*i**2 + 0*i - 124*i**3 - i + 36*i**3. Let l be v(1). Let w = -58 - l. Is w a multiple of 17? False Suppose 5*r - 3*m = -0*m - 437, 3*r + 263 = m. Let x = 148 + r. Is 5 a factor of x? True Suppose 948 = 5*v + 3*r, v + 6*r = 2*r + 176. Does 12 divide v? True Let c(j) = -j - 4. Let v be c(-6). Suppose -2*u - 308 + 92 = 0. Is 15 a factor of (3/v)/((-6)/u)? False Suppose h = o - 1, 2 = -h + 2*o - 0. Suppose u = 2*u + 2. Is 8 a factor of u + h - (0 + -13)? False Suppose -4*k = -3*b - 10, -4*k + k + 2*b = -7. Let t = k - -12. Is 13 a factor of t? True Let v be 125 + (-8 - 1)/(-3). Is 3 a factor of ((v/(-2))/(-2) - 2) + 3? True Let d = -36 + 34. Is 5 a factor of -3 - d/((8/(-116))/(-1))? False Suppose -3*y + 2448 = 6*b - 9*b, 0 = -3*y + 4*b + 2445. Is y a multiple of 29? False Let p(t) = 2*t + 14. Let i be p(-6). Suppose 0*m - 105 = -5*w - 3*m, 4*m - 56 = -i*w. Is 18 a factor of w? True Let z = 8 + 26. Does 34 divide z? True Suppose 0 = -10*v + 8*v + 150. Suppose 26*z - v = 23*z. Is z a multiple of 4? False Let h = 6 + -15. Let y = 1 - h. Is 4 a factor of y? False Let l be (2/4)/(2/36). Let o be 4/22 + 6/11*-4. Does 14 divide (-28)/o*l/6? False Does 124 divide 8/(-36) + (-27573)/(-27)? False Let f(g) be the first derivative of g**2 + 7*g + 1. Suppose -5*w + 2*u - 3*u = -29, -3*w - 4*u + 31 = 0. Does 11 divide f(w)? False Suppose 4*n + 4 = 24. Suppose w + 2*z - 5 = 41, -2*w = -n*z - 65. Does 10 divide w? True Let s(a) = a**2 - 7*a + 15. Let u be s(4). Is (2 - 1)/(u/42) a multiple of 3? False Let k(d) = -2*d**3 - 3*d**2 + 3*d + 2. Let x be k(-3). Suppose 5*s + 4*v = 44, 3*s = -0*s + 4*v + x. Is 8 a factor of s? True Suppose -14*z = 4206 + 3508. Let k = -320 - z. Is k a multiple of 15? False Suppose g + 10 = -5*y, 0 = -0*g - 4*g - y + 17. Suppose 3*o + 11 = g*f, -2*o - 2*o - 10 = -2*f. Suppose 33 = n - f. Is n a multiple of 6? False Suppose -b - 112 = -143. Is b a multiple of 23? False Suppose 3*q + 458 = 5*t, -4*q + 6*t - 614 = t. Let b = -2 - q. Is 14 a factor of b? True Suppose 74 + 18 = -w + 4*u, 5*w + u = -397. Let n = 122 + w. Is n a multiple of 11? False Suppose -4*g + 11 + 5 = 0. Does 4 divide 36/g - (2 - 1)? True Suppose 0 = -3*d + 2*u + 2932, 0 = -22*d + 19*d + 5*u + 2920. Is d a multiple of 20? True Let r(u) be the first derivative of 59*u**2 - 32*u**2 + 4*u - 23*
{ "pile_set_name": "DM Mathematics" }
ve a(n). 6 Let i(u) = u**2 - 3*u + 3. Let o be ((-7)/21)/(2/(-24)). Let n = o - 0. Calculate i(n). 7 Let r(j) = -j + 1. Let v(h) = -h + 6. Let k(a) = -3*r(a) + v(a). Give k(-4). -5 Suppose -4*b - 4 = -12. Let h(s) = -1 + 4*s - 1 + 2*s**3 - s**3 - 4*s**b. Determine h(3). 1 Let h be (-3)/(-9)*5*3. Suppose 0 = o, -h*k - 2*o + 80 = -k. Suppose 3*z - x + k = 0, 37 = -4*z + 5*x - 8. Let n(l) = l**2 + 5*l - 4. Give n(z). -4 Let x(t) = -t**3 - 5*t**2 - 4*t + 4. Let a = 15 + -11. Suppose n + 20 = a*d, 2*n - 3*n = d. Give x(n). 4 Suppose 5*v - 7 = 8. Let p(z) be the third derivative of 0*z + 1/8*z**4 + z**2 + 0 + 1/6*z**v. Calculate p(-2). -5 Let z be 21/6 + (-2)/(-4). Suppose -n - 8 = -4*g, 0 = z*n - 2*n + 3*g - 17. Let f(d) = d**2 - 2*d + 1. Calculate f(n). 9 Let o(t) = 2*t + 0*t - t. Let y be 32/(-14) + (-2)/(-7). What is o(y)? -2 Let l(u) be the second derivative of 0 - 3*u - 2*u**2 + 1/6*u**3. Suppose -2*r + 2 = 3*t - 0, 0 = t + 2. Calculate l(r). 0 Let j(y) = y**2 - 3*y - 2. Let b(f) = -f**2 + 8*f + 4. Let l be b(9). Let u(o) = -2*o**2 + 5*o + 4. Let g(q) = l*j(q) - 2*u(q). Give g(5). 2 Let l(s) = -4*s**2 + 3*s**2 - 1 + 6*s + 0*s**2. Suppose 18*y - 50 = 8*y. What is l(y)? 4 Let b(k) = 2*k**2 + 9*k + 1. Let f(q) = q**2 + 5*q. Let n(x) = -6*b(x) + 11*f(x). Let j = 10 - 7. Suppose -2*s = j*s. Determine n(s). -6 Let u = -3 - -4. Let s(f) = -f**3 + 2 - u - 2 - 2 - 3*f**2 - 3*f. Determine s(-2). -1 Suppose -8 + 2 = 2*p + 5*x, -4*x - 12 = -2*p. Let z(b) = 0*b**3 + 0*b + 4*b**2 + p*b**3 + 4 - b**3 + 4*b. Calculate z(-3). 1 Let p(s) = s**3 + s**2 + 2. Let b(t) = -t**3 - 2*t**2 - 1. Let o(i) = 5*b(i) + 4*p(i). Suppose -g - g - 8 = u, 5*u + 4 = -4*g. What is o(g)? 3 Let o(h) = -6*h**2 - h + 2. Let k be o(1). Let i(x) = -x + 2. Calculate i(k). 7 Let m(s) = 4*s**3 - 27 - 12*s**3 + 26. Determine m(1). -9 Let j(t) = t**3 - 8*t**2 + 8*t - 10. Let b be j(7). Let m = b + 3. Suppose m = h + 2*h. Let c(s) = s**3 - s**2 + 2. Calculate c(h). 2 Suppose 0 = -c + 5*c + 24. Let b(n) = n**2 + 1. Let s(r) = -5*r**2 + 7*r - 2. Let d(g) = -6*b(g) - s(g). Calculate d(c). 2 Let i(t) = -t**3 - 3*t**2 + 4*t + 3. Let h be i(-4). Let f(j) = -j + 3*j + h*j. Calculate f(-1). -5 Let x(h) = h + 2. Suppose -2*n - 2*n = 0. Let i be x(n). Let c(b) = 3*b**2 - 3*b + 2. Let r(m) = 2*m**2 - 2*m + 1. Let z(d) = -5*c(d) + 8*r(d). What is z(i)? 0 Suppose -2*n + 5*f + 16 = -5, -5*n - 2*f + 38 = 0. Suppose 0*t - n = 2*t. Let o(r) = -r**3 - 5*r**2 - 5*r - 5. What is o(t)? -1 Let l(p) = -p**2 + 0*p**2 - 3*p - 1 - 2. Suppose 2*o + 9 = -o. Let i be (-2)/(-6) + 10/o. Give l(i). -3 Let o(c) = -c**2 + 1. Let n(t) = 10*t**3 + 3*t**2 - 4. Let f(a) = n(a) + 3*o(a). Calculate f(-1). -11 Let m(u) be the third derivative of 0*u - u**2 + 5/6*u**3 + 0 + 1/24*u**4. Let p(x) = -2*x**2 + x. Let a be p(-1). Give m(a). 2 Let r(t) be the first derivative of t**2/2 + 7*t - 1. Let s be r(-6). Let m(f) = s + 2 - 3 + 2*f. Give m(2). 4 Let l(m) = -m + 9. Let x be l(6). Let t(s) = 5*s**2 - 4*s. Let z(u) = 4*u**2 - 3*u - 1. Let g(p) = 3*t(p) - 4*z(p). What is g(x)? -5 Let c(o) = -4*o - 1. Suppose 4*v = 13 - 1. Suppose -1 = -v*r + 2. Let z be (r/(-3))/((-1)/3). Calculate c(z). -5 Let p(n) = -n**3 - 5*n**2 + 6*n - 6. Let j be p(-6). Let s be 2/((-4)/j) - 0. Let i(h) = -h**2 - h - 1. Calculate i(s). -13 Let b = -4 + 6. Suppose -10*g + 9 = -7*g. Let w(h) = 3*h**g + 6*h**3 + 2*h**b - 1 + 0. Calculate w(-1). -8 Let l(i) = i**2 - 9*i - 1. Let r = -78 - -85. Calculate l(r). -15 Let d(k) = 3*k**2 + 2*k. Suppose -22 = 7*x - 12*x - 4*r, 2*x - 10 = -2*r. What is d(x)? 16 Suppose 2*p = -4*f, -7*p = -4*f - 3*p + 24. Let d be (-1*3)/((-9)/12). Let b(i) = -i + d*i - 2 - f*i. Calculate b(5). 3 Let j(a) = -9*a**3 + 3*a**2 - 2*a - 1. Let x(y) = 19*y**3 - 7*y**2 + 5*y + 2. Let f(n) = 9*j(n) + 4*x(n). What is f(1)? -5 Let m(j) = -j**2 - 4*j + 2. Let l be m(-5). Let i(q) be the third derivative of 2*q**2 + 1/60*q**5 + 0*q + 0 + 1/24*q**4 + 1/6*q**3. Calculate i(l). 7 Suppose 3*t + m = -3 + 13, -4*m = 5*t - 19. Let f(b) = t*b - 3*b + 2 + b. Suppose 4*a = 5*h - 24, 1 + 5 = -a + 5*h. Give f(a). -4 Let s(j) = j**3 - 8*j**2 + 10*j - 16. Let q be s(7). Let t(u) be the third derivative of u**4/8 - 7*u**3/6 + 2*u**2. Give t(q). 8 Let h(y) = -y - 3. Let a be h(-3). Suppose a = -5*z + i + 9, 4*z + 0*z + 5*i = 13. Let f(s) = 2*s - 2. What is f(z)? 2 Let n(b) = -b + 2. Let w be ((1 + -2)*-1)/((-21)/(-63)). Calculate n(w). -1 Let w(r) = -r**3 - 5*r**2 - 2*r + 4. Let b = -10 + 7. Determine w(b). -8 Let x(o) = 6*o**2 - 11*o - 11. Let p(k) be the third derivative of -k**5/12 + 5*k**4/12 + 5*k**3/3 + 5*k**2. Let l(g) = 5*p(g) + 4*x(g). Give l(6). 6 Let l = -3 + 3. Let z(w) = w**2 - 3*w - 3 + l*w**2 + 7*w. Suppose -3*q + 4 - 1 = -5*a, -3*a - 1 = -2*q. What is z(q)? -3 Let y = -3 + -1. Let l(v) be the first derivative of -v**3 - 23*v**2/2 + 15*v + 3. Let d(j) = -j**2 - 8*j + 5. Let w(b) = 11*d(b) - 4*l(b). Determine w(y). -5 Let r(l) = l - 8. Let t = 2 - -4. Suppose t*p = 2*p. What is r(p)? -8 Let b be 1/(1*(1 + -2)). Let g be 0*4*(-4)/(-48). Let v = g - b. Let w(c) = -5*c**2. Determine w(v). -5 Let y(p) = 8*p + 7. Let r(b) = -4*b - 3. Let o(d) = -9*r(d) - 4*y(d). What is o(1)? 3 Suppose 3*s = -h + 2*s + 3, h = -5*s + 3. Suppose -5*i - 4*x = -h*x - 24, 0 = 4*i + 2*x - 18. Let r(v) = -v + 7. Calculate r(i). 2 Suppose 8*k - 4*k - 8 = 0. Let o(v) = -3 + 0*v**2 + 0*v**2 + 0*v**2 + v**k + 3*v. Calculate o(-5). 7 Let n = 0 + 0. Suppose -2*l + 2*s + 3 - 7 = 0, 17 = -l + 4*s. Let y(d) = -d**3 - d**2 + 6 + d**3 - 2*d**l + d**3. Determine y(n). 6 Let q(i) be the third derivative of -i**6/120 - i**5/15 + i**4/4 + i**3 - i**2. Suppose -5*w + 0*w + 5 = 0. Suppose 6 = -c + w. What is q(c)? 1 Let q(f) = 2*f - 5*f - f + 0*f - 3. Determine q(-2). 5 Let z(b) = -b - 3. Suppose 4*o - 16 = 0, -2*o + 8 = c + o. Determine z(c). 1 Let l = 2 - 4. Let v be 0 + -1 + l + 0. Let y(k) = k**2 + 6*k - 8. Let r(a) = -a**2 - 5*a + 7. Let c(f) = -4*r(f) - 3*y(f). What is c(v)? -1 Let a(k) be the first derivative of -2*k - 1/2*k**2 + 4. Determine a(5). -7 Let v(g) = -6 + 3*g**2 - 3*g**2 + 0 + g**2. Suppose 0*u = -3*u. What is v(u)? -6 Let q(u) = -u**2 + u - 4. Suppose 4*n = 3*n. Calculate q(n). -4 Let p(c) = -c**3 - 3*c**2 + 5*c + 4. Suppose 3*q - 2*i + 7 = -9, -5*q - 30 = -5*i. What is p(q)? 0 Let i(z) = z + 0*z - 3*z. Let c(s) be the second derivative of s**5/5 - s**4/6 + s**3/6 - s. Let v be c(1). Calculate i(v). -6 Let c(l) = -l - 5. Let z(p) = -p - 4. Let j(b) = 4*c(b) - 5*z(b). What is j(-1)? -1 Let g(f) = f**2 + 6*f. Let h = -6 + 14. Let b be 10/h + 5/(-20). Let z be -3 + b*(1 + -1). Determine g(z). -9 Let j(q) be the first derivative of q**6/120 - q**5/15 + q**4/6 - 5*q**3/6 + 5*q**2/2 + 5. Let x(n) be the second derivative of j(n). Determine x(4). 11 Let l(p) = 5 - 14*p**3 - 3 - 4 - 6*p + 15*p**3 - 5*p**2. Calculate l(6). -2 Let g(u) = -2*u**3 + 2*u**2 - 5*u - 1. Let k(v) = -3*v**3 + 5*v**2 - 9*v - 2. Let z(l) = 5*g(l) - 3*k(l). Determine z(-5). -9 Let s(l) be the second derivative of -l**7/2520 + l**6/720 - l**4/4 - 3*l. Let f(g) be the third derivative of s(g). Calculate f(1). 0 Let o(i) = i**2 - 15*i - 10. Let p be o(16). Let r(f) = 2*f**2 - 10*f + 7. Determine r(p). 19 Let i(l) = -2 + 5*l + l**2 - 5*l - 2*l. What is i(3)? 1 Let u(l) = l**3 - 2*l**2 + 1. Let p(z) = z**2 - 9*z + 17. Let j be p(8). Let h = 7 - 0. Let d = j - h. What is u(d)? 1 Suppose -3*z - 3*s = 0, 2*z + 2*s + s + 2 = 0. Let k(h) = -2*h. What is k(z)? -4 Let i(j) = -8*j - 4 + 4*j - 3*j**2 + 4*j**2. Let b be i(4). Let n(k) be the third derivative of -k**6/120 - k**5/12 - 7*k**4/24 - k**3 - k**2. What is n(b)? 6 Let q(m) = -m - 1. Let v be q(1). Let g(s) = 4*s + 3. Give g(v). -5 Let m(t) = -t - 6 + 0 - 7 - 1. Determine m(0). -14 Let a(l) = -5*l**2 + l - 13. Let r(p) = 11*p**2 - 2*p + 27. Let j(t) = -13*a(t) - 6*r(t). Calculate j(0). 7 Let w(p) = -p**3 + 4*p**2 + 3. Suppose -n - 46 = -4*b + 4*n, b = n + 11. Let y = 13 - b. Give w(y). 3 Let i(c) = -2*c**3 - 2*c**2 - 2*c - 1. Let v be i(-1). Let x(j) = -2*j**2 + 0*j**3 + 16*j - 15*j + 7*j**3 + 0*j**3. Give x(v). 6 Let r(u) = u - 5. Let t be r(10). Suppose 3 = t*q - 4*q. Let n(x) = q - x + 2 - 1. Calculate n(0). 4 Suppose 0 = -2*a - 1 + 3. Let i(w) be the first derivative o
{ "pile_set_name": "DM Mathematics" }
e in 3, -18106, -5, -0.3? 3 Which is the fourth smallest value? (a) 1/10 (b) -5 (c) 165 (d) 0.2 c Which is the second smallest value? (a) -0.4 (b) 0.08 (c) -47 (d) 5 a Which is the fourth biggest value? (a) -0.11 (b) -1 (c) -0.4 (d) -0.5 (e) 0 (f) 0.1 c Which is the second biggest value? (a) 4 (b) -5 (c) -1 (d) 19 (e) 2/5 a What is the third smallest value in -76.14, 132, -2/3? 132 What is the second smallest value in 0.5, -1440, -0.1, -1? -1 Which is the smallest value? (a) 2/17 (b) -2.3 (c) -0.021 b What is the fourth biggest value in -0.5, 2, 18, -0.017? -0.5 Which is the second smallest value? (a) 311 (b) -4/19 (c) -1/9 (d) 0.4 (e) -0.3 b What is the third smallest value in -4645, 3/4, -4, -3? -3 What is the third biggest value in 0.2, -1/12, -0.047, 123? -0.047 Which is the fourth biggest value? (a) -0.7 (b) -8 (c) 6/11 (d) 7 (e) 0 (f) 36 e Which is the second biggest value? (a) 2 (b) -2 (c) 1337/44 a Which is the smallest value? (a) 1/294 (b) -5 (c) 8 b Which is the fourth smallest value? (a) 142/3 (b) -5 (c) -1 (d) 129 d What is the third biggest value in 0.2, -0.2, -13/89, -14? -0.2 What is the second biggest value in -3/2, -14, 16, 0.2, 5? 5 Which is the biggest value? (a) 5/3 (b) 3843 (c) 2 b What is the biggest value in 707, 5, -0.4, 12, -2/7, 0.4? 707 Which is the biggest value? (a) -19 (b) -1/3 (c) 5/4 (d) 2/25 c What is the second smallest value in 5, 1698, -0.4? 5 Which is the second smallest value? (a) 9 (b) 14/13367 (c) -4 b What is the smallest value in 278, -3, -5, -22? -22 What is the fifth biggest value in -1/2, 0.3, 1/5, 3/5, 18/7, 1595? 1/5 Which is the smallest value? (a) 3 (b) -2.29 (c) -1/15 (d) -0.5 b Which is the third biggest value? (a) -16/5 (b) 354/5 (c) 0.5 a Which is the smallest value? (a) -25.102 (b) 3 (c) -0.5 a Which is the fifth biggest value? (a) -2 (b) 1 (c) -3/7 (d) -0.35 (e) -1 a Which is the biggest value? (a) 1 (b) -117 (c) 0.5 (d) 0.2 a Which is the smallest value? (a) -53/2 (b) 2/5 (c) 43 a Which is the smallest value? (a) -126 (b) 4 (c) 0.0244 a Which is the smallest value? (a) -3/2 (b) 0.2 (c) 27 (d) -4/3 (e) -2 e Which is the biggest value? (a) -2.76 (b) -0.4 (c) -32 b What is the third biggest value in -130, -39.3, 2/9? -130 What is the third biggest value in 4/9, 370, 0.5, -1.6, -4? 4/9 Which is the second smallest value? (a) 30 (b) 5 (c) 1/3 (d) 2/9 (e) -10 (f) 3/5 d Which is the third biggest value? (a) -3 (b) -1/109 (c) -4/5 (d) -5 (e) -2 (f) 13 c Which is the fourth biggest value? (a) -20 (b) 7 (c) 0.1 (d) 6/11 (e) 51 c What is the fifth biggest value in 1, 0, -1/4, 27, 2/11, 0.04? 0 What is the fourth biggest value in -1, -1527, 0.2, 0.1, 0? -1 What is the second smallest value in -1, 1, 2/5, 298, -9/13, 4/7? -9/13 What is the third biggest value in 1.6, -6, 193/3, -0.4, 2? 1.6 Which is the second smallest value? (a) 0.09 (b) 3 (c) 0 (d) 0.5 (e) -2 c What is the second smallest value in -0.4, 982501, 0.3? 0.3 Which is the third smallest value? (a) 3 (b) -1/3653 (c) -39 a What is the third biggest value in -334/7, 2/5, 2/13, -32? -32 Which is the fourth biggest value? (a) 192 (b) 15.2 (c) 0.01 (d) 1/6 (e) -1/4 c Which is the third smallest value? (a) -84 (b) -0.4 (c) 14 c What is the biggest value in 13/17, 103, -4? 103 What is the smallest value in 0.2, 29580, -3/2? -3/2 Which is the third biggest value? (a) 1/73 (b) -136 (c) -0.2 b What is the smallest value in 2, -1/5, 0.5, -6/5, 0.062, -4? -4 Which is the biggest value? (a) -0.5 (b) -2583/11 (c) 2/9 (d) -3/2 c Which is the third smallest value? (a) -12 (b) 2 (c) -34/7 b Which is the second biggest value? (a) -2/97 (b) -3 (c) 15 a What is the third smallest value in -47, -1/1173, 5? 5 What is the smallest value in -1/2, -383/6, 5? -383/6 Which is the second biggest value? (a) -0.09 (b) 3/4 (c) 17 (d) 1/3 b What is the second smallest value in 4/7, -10/7, 272, -0.4? -0.4 What is the fifth biggest value in 0.3, 48, -0.3, -1/6, 0.1? -0.3 Which is the fourth smallest value? (a) 11 (b) 7/9 (c) -0.1 (d) -30 a Which is the second smallest value? (a) -0.5 (b) 3 (c) 2/31 (d) 6096 c Which is the biggest value? (a) -3 (b) 3 (c) 0.5 (d) 1.78 (e) -2/9 b Which is the fifth biggest value? (a) -3/7 (b) -1/5 (c) 1/6 (d) -27/4 (e) 5 (f) 87 a Which is the biggest value? (a) 5.78 (b) -3.8 (c) 5.5 a What is the second smallest value in 96, -0.2, 4, -27, -24? -24 What is the second biggest value in -2/9, 2/7, 18.4, -3? 2/7 What is the second biggest value in 11, 2/9, -27, -4/7, 2/11? 2/9 Which is the fourth biggest value? (a) 5 (b) 0 (c) 4 (d) 120/481 (e) -5 b What is the smallest value in 8, 3.1, -1.4, 3/5? -1.4 Which is the second smallest value? (a) 408 (b) 0.3 (c) -1 (d) 15 b Which is the third biggest value? (a) 3/5 (b) -0.15 (c) 1.932 b Which is the smallest value? (a) -0.5 (b) -6/11 (c) -0.03 (d) 2/9 (e) -48.3 (f) 2 e Which is the third smallest value? (a) -1.6 (b) -3812.2 (c) 2 c Which is the second smallest value? (a) -44 (b) 2 (c) 1.4 (d) -2/101 (e) -4 e What is the second biggest value in -4, 2, -4/13, 63, 3? 3 What is the smallest value in 5, -9/17, 0.01, 1/4, 0.03? -9/17 What is the second biggest value in 1, 2, 1.9, -120, 0.014? 1.9 What is the third smallest value in -0.5, 4/5, 1/14, 0, -2, 327? 0 Which is the biggest value? (a) 6/7 (b) 0.3 (c) -0.5 (d) 32 (e) 5 (f) -7 d What is the third biggest value in -101/43, 0.1, -2/15, -5, -1/2? -1/2 Which is the second biggest value? (a) 16 (b) 11 (c) -2 (d) -2/15 b What is the third biggest value in -3, -620/21, 0.4, 3? -3 Which is the smallest value? (a) -26 (b) -0.1 (c) 0.125 a Which is the fourth biggest value? (a) 0.4 (b) 4 (c) 1.8 (d) -11/23 d Which is the biggest value? (a) 5 (b) 2/9 (c) 4255 c Which is the biggest value? (a) -126 (b) 0 (c) 1/8 (d) -47/5 c What is the smallest value in 3, -51.49, 1, 0.1, 5? -51.49 Which is the third smallest value? (a) -5 (b) 112.8 (c) 4/9 (d) 6/31 c What is the biggest value in -1, -3/5, 1/3, -224? 1/3 What is the second smallest value in 133, 1, -42? 1 What is the fifth smallest value in 2/9, -2, 41, 3, 2/5? 41 Which is the biggest value? (a) 0.66 (b) -2 (c) -2/9 (d) 3 (e) 2 d What is the biggest value in 1/2, -4, -15/8? 1/2 Which is the second biggest value? (a) 995/178 (b) -1/5 (c) -3/2 b Which is the fourth smallest value? (a) -46/5 (b) -1.8 (c) -0.4 (d) -3.5 c What is the third smallest value in -6, 0, -318? 0 Which is the biggest value? (a) 0.05 (b) -3 (c) 2 (d) 6860 d What is the fifth biggest value in -0.84, 2, -0.2, -4, -4/11? -4 What is the third biggest value in -11.2, -0.15, 0.096? -11.2 Which is the fifth smallest value? (a) -0.5 (b) 2/7 (c) 0.125 (d) -3 (e) 1/3 e What is the biggest value in -56, 1361, -0.4, -5? 1361 What is the smallest value in 27, 1, 4/599? 4/599 Which is the second smallest value? (a) 2 (b) -1/14 (c) 13 (d) -1.3 b What is the second biggest value in 0.4, -1, -2, -26, 2/35, 0? 2/35 What is the third smallest value in -1, 0.09, 4, 0.982, -3/4? 0.09 Which is the fifth smallest value? (a) 0 (b) 12 (c) 2/77 (d) -5 (e) -0.01 b What is the biggest value in -17, 29/4, -4, 0.4? 29/4 What is the second biggest value in 0.1, 8/29, 180? 8/29 What is the fifth smallest value in 3, 4, -5, -2, 1/5? 4 What is the third biggest value in 24, 0.1, 0.5, -0.03, -0.013? 0.1 What is the sixth smallest value in -0.8, 1, -10/9, -18, -0.3, 1/6? 1 Which is the biggest value? (a) -0.4 (b) -5 (c) 3 (d) -0.3 (e) -0.51 c Which is the biggest value? (a) 2.5743 (b) 0.1 (c) -0.2 a What is the smallest value in 1, 0.5, 10, -76, -1/3? -76 What is the second smallest value in -200388, 2/3, -0.5? -0.5 Which is the second biggest value? (a) 0.1 (b) 17 (c) -22/307 (d) 2 d What is the fourth smallest value in 1/5, 10.74, 0.3, 2/5, -1? 2/5 Which is the third smallest value? (a) -371 (b) 0.1 (c) -96 b Which is the second smallest value? (a) -0.3 (b) -2/57 (c) -1.7 (d) -24 (e) 6 (f) -1 c What is the smallest value in 4.5, 0.28, 0? 0 Which is the smallest value? (a) -0.0492 (b) -5 (c) 0.14 b What is the t
{ "pile_set_name": "DM Mathematics" }
the cube root of 793 to the nearest integer? 9 What is 3465 to the power of 1/3, to the nearest integer? 15 What is 2656 to the power of 1/9, to the nearest integer? 2 What is 23093 to the power of 1/9, to the nearest integer? 3 What is 26603 to the power of 1/7, to the nearest integer? 4 What is the cube root of 16767 to the nearest integer? 26 What is the third root of 7721 to the nearest integer? 20 What is the cube root of 48711 to the nearest integer? 37 What is the square root of 5621 to the nearest integer? 75 What is the cube root of 17874 to the nearest integer? 26 What is the eighth root of 32501 to the nearest integer? 4 What is the ninth root of 3171 to the nearest integer? 2 What is 176 to the power of 1/3, to the nearest integer? 6 What is the square root of 13513 to the nearest integer? 116 What is the square root of 30736 to the nearest integer? 175 What is the sixth root of 870 to the nearest integer? 3 What is the square root of 3291 to the nearest integer? 57 What is the fifth root of 940 to the nearest integer? 4 What is the square root of 625 to the nearest integer? 25 What is the seventh root of 38830 to the nearest integer? 5 What is the cube root of 27224 to the nearest integer? 30 What is 3721 to the power of 1/2, to the nearest integer? 61 What is 3552 to the power of 1/4, to the nearest integer? 8 What is the square root of 20351 to the nearest integer? 143 What is 9612 to the power of 1/3, to the nearest integer? 21 What is the square root of 2780 to the nearest integer? 53 What is 133141 to the power of 1/2, to the nearest integer? 365 What is the fifth root of 937 to the nearest integer? 4 What is the tenth root of 2322 to the nearest integer? 2 What is 124148 to the power of 1/3, to the nearest integer? 50 What is the third root of 6847 to the nearest integer? 19 What is the third root of 22975 to the nearest integer? 28 What is 39459 to the power of 1/5, to the nearest integer? 8 What is the ninth root of 1397 to the nearest integer? 2 What is the eighth root of 6084 to the nearest integer? 3 What is the cube root of 6891 to the nearest integer? 19 What is 21224 to the power of 1/6, to the nearest integer? 5 What is the square root of 381 to the nearest integer? 20 What is the square root of 108084 to the nearest integer? 329 What is 61862 to the power of 1/6, to the nearest integer? 6 What is the square root of 2306 to the nearest integer? 48 What is 3517 to the power of 1/2, to the nearest integer? 59 What is 44416 to the power of 1/6, to the nearest integer? 6 What is the eighth root of 16947 to the nearest integer? 3 What is 47908 to the power of 1/5, to the nearest integer? 9 What is 2617 to the power of 1/2, to the nearest integer? 51 What is the tenth root of 40816 to the nearest integer? 3 What is the square root of 27433 to the nearest integer? 166 What is the fourth root of 2315 to the nearest integer? 7 What is 469 to the power of 1/3, to the nearest integer? 8 What is the third root of 42 to the nearest integer? 3 What is 20375 to the power of 1/2, to the nearest integer? 143 What is the third root of 3 to the nearest integer? 1 What is 57745 to the power of 1/3, to the nearest integer? 39 What is the ninth root of 7331 to the nearest integer? 3 What is 63369 to the power of 1/2, to the nearest integer? 252 What is the seventh root of 32357 to the nearest integer? 4 What is the cube root of 378 to the nearest integer? 7 What is the cube root of 20198 to the nearest integer? 27 What is 71618 to the power of 1/4, to the nearest integer? 16 What is 1243 to the power of 1/6, to the nearest integer? 3 What is the seventh root of 1442 to the nearest integer? 3 What is 88373 to the power of 1/2, to the nearest integer? 297 What is the square root of 14378 to the nearest integer? 120 What is 469 to the power of 1/4, to the nearest integer? 5 What is 14112 to the power of 1/3, to the nearest integer? 24 What is 108944 to the power of 1/7, to the nearest integer? 5 What is the fourth root of 1960 to the nearest integer? 7 What is the seventh root of 126089 to the nearest integer? 5 What is the cube root of 31955 to the nearest integer? 32 What is the square root of 2523 to the nearest integer? 50 What is the square root of 1977 to the nearest integer? 44 What is the cube root of 33295 to the nearest integer? 32 What is the tenth root of 826 to the nearest integer? 2 What is the fourth root of 8294 to the nearest integer? 10 What is the square root of 103131 to the nearest integer? 321 What is 7124 to the power of 1/2, to the nearest integer? 84 What is 22193 to the power of 1/7, to the nearest integer? 4 What is the square root of 54410 to the nearest integer? 233 What is the cube root of 15808 to the nearest integer? 25 What is 3417 to the power of 1/10, to the nearest integer? 2 What is the third root of 2210 to the nearest integer? 13 What is 65716 to the power of 1/3, to the nearest integer? 40 What is the ninth root of 6519 to the nearest integer? 3 What is 1491 to the power of 1/8, to the nearest integer? 2 What is the third root of 2242 to the nearest integer? 13 What is the third root of 356 to the nearest integer? 7 What is 2299 to the power of 1/3, to the nearest integer? 13 What is 1264 to the power of 1/3, to the nearest integer? 11 What is the ninth root of 15882 to the nearest integer? 3 What is the square root of 2650 to the nearest integer? 51 What is the square root of 11600 to the nearest integer? 108 What is the square root of 1634 to the nearest integer? 40 What is 1307 to the power of 1/10, to the nearest integer? 2 What is the cube root of 46483 to the nearest integer? 36 What is the sixth root of 28519 to the nearest integer? 6 What is 18180 to the power of 1/6, to the nearest integer? 5 What is 1322 to the power of 1/2, to the nearest integer? 36 What is the ninth root of 1243 to the nearest integer? 2 What is 45999 to the power of 1/5, to the nearest integer? 9 What is the square root of 5946 to the nearest integer? 77 What is the third root of 16979 to the nearest integer? 26 What is 44648 to the power of 1/9, to the nearest integer? 3 What is 21189 to the power of 1/8, to the nearest integer? 3 What is 788 to the power of 1/2, to the nearest integer? 28 What is the square root of 12632 to the nearest integer? 112 What is the square root of 29 to the nearest integer? 5 What is the eighth root of 14177 to the nearest integer? 3 What is 1126 to the power of 1/5, to the nearest integer? 4 What is the cube root of 8080 to the nearest integer? 20 What is 6517 to the power of 1/10, to the nearest integer? 2 What is 4125 to the power of 1/2, to the nearest integer? 64 What is 10942 to the power of 1/3, to the nearest integer? 22 What is 20075 to the power of 1/3, to the nearest integer? 27 What is 6839 to the power of 1/2, to the nearest integer? 83 What is 34159 to the power of 1/2, to the nearest integer? 185 What is 4919 to the power of 1/2, to the nearest integer? 70 What is the fifth root of 15285 to the nearest integer? 7 What is the square root of 7098 to the nearest integer? 84 What is the square root of 68403 to the nearest integer? 262 What is the square root of 7297 to the nearest integer? 85 What is the cube root of 36584 to the nearest integer? 33 What is 3945 to the power of 1/2, to the nearest integer? 63 What is the third root of 2440 to the nearest integer? 13 What is the ninth root of 5121 to the nearest integer? 3 What is the fifth root of 54857 to the nearest integer? 9 What is the square root of 526 to the nearest integer? 23 What is the square root of 31531 to the nearest integer? 178 What is 50067 to the power of 1/9, to the nearest integer? 3 What is the square root of 996 to the nearest integer? 32 What is the sixth root of 6672 to the nearest integer? 4 What is the square root of 47135 to the nearest integer? 217 What is the square root of 313 to the nearest integer? 18 What is the square root of 20905 to the nearest integer? 145 What is the square root of 763 to the nearest integer? 28 What is the cube root of 27459 to the nearest integer? 30 What is 1721 to the power of 1/2, to the nearest integer? 41 What is 18190 to the power of 1/2, to the nearest integer
{ "pile_set_name": "DM Mathematics" }
ne v*a(u) - 3*l(u). 2*u**2 + 2*u - 2 Let q(t) = 5*t**2 - 5*t + 6. Let r be -3 - ((-84)/18 - 8/6). Let g(h) = -4*h**2 + 4*h - 6. Calculate r*q(v) + 4*g(v). -v**2 + v - 6 Suppose 3 = -t, 5*b - 2*t - 5 = -19. Suppose -2*c - 3*c + 41 = 4*w, w - 24 = -4*c. Let x(o) = -c - o + 2*o + 0. Let p(u) = -3*u + 14. What is b*p(r) - 11*x(r)? r - 1 Let t(s) = -s**2 - s. Let h(b) = 13*b - 118. Let q be h(9). Let c(p) = 5*p**3 + 6*p**2 + 6*p. What is q*c(n) - 6*t(n)? -5*n**3 Let q(x) = 2*x**2 - 2. Let i(j) = -j**2 - 11*j - 25. Let g be i(-8). Let n(k) = 0 + 5 - 4. Determine g*q(a) - 2*n(a). -2*a**2 Let i(y) = -y**2 + 5*y. Let z(k) = -k**2 + 6*k. Let a(v) = 70*v + 11. Let l be a(1). Let h = -76 + l. Calculate h*i(w) - 4*z(w). -w**2 + w Let j be ((-7)/(-147)*7)/((-3)/27). Let f(d) = 2*d**2 - 4*d. Let g(c) = c**3 - 3*c**2 + 4*c. Give j*f(a) - 2*g(a). -2*a**3 + 4*a Let z(a) = -19*a + 20*a - 11 + 15*a. Let q(g) = 4*g + 0*g - 5*g + 2 - 2*g. Give 11*q(i) + 2*z(i). -i Let i(f) = -9*f**3 - 3*f**2 + 17. Let l(v) = -8*v**3 - 2*v**2 + 14. Give -2*i(p) + 3*l(p). -6*p**3 + 8 Let h(v) = -14*v**2 + 6*v + 441. Let l(g) = -5*g**2 + 2*g + 147. What is -4*h(n) + 11*l(n)? n**2 - 2*n - 147 Let h(y) = -y**2 - 17*y + 10. Let p(q) = 2*q**2 + 19*q - 11. Calculate 6*h(m) + 5*p(m). 4*m**2 - 7*m + 5 Suppose 5*m - 10*m = -55. Let k(t) = -4 + m + 14 + 51*t**2. Let s(y) = 5*y**2 + 2. What is 2*k(v) - 21*s(v)? -3*v**2 Let x(o) = -24*o - 6. Let k(l) = -5*l - 1. Let y be 2/15 + (-12)/(-135)*-24. Calculate y*x(d) + 11*k(d). -7*d + 1 Let j(r) = 18*r**2 + 3*r**2 + 9 + 4*r**2. Let n(t) = -t**3 + 7*t**2 - 10*t - 2. Let v be n(5). Let y(i) = 6*i**2 + 2. Give v*j(a) + 9*y(a). 4*a**2 Let t(u) = -u**2 - u + 1. Let d(h) = 0*h**2 + 1 - 12*h + 10*h + 0*h**2 + 1 + 4*h**2. Calculate -d(z) + 2*t(z). -6*z**2 Let q(d) = -4*d**2 - 2*d + 9. Let f(o) = -7*o**2 + 10*o**2 - 2*o**2 + 6*o + 10 + 3*o. Let g be f(-6). Let c(w) = -6*w**2 - 3*w + 14. Give g*q(y) + 5*c(y). 2*y**2 + y - 2 Let z(n) = n**3 - n**2 - 10*n + 6. Let b(x) = x**3 - x**2 - 7*x + 4. Determine -7*b(c) + 5*z(c). -2*c**3 + 2*c**2 - c + 2 Let a(l) = 10*l**2 - 21*l - 56. Let p(x) = -21*x**2 + 45*x + 111. Calculate -15*a(v) - 7*p(v). -3*v**2 + 63 Let u(b) = -47*b. Let d(p) = 47*p. Determine 6*d(f) + 5*u(f). 47*f Suppose -4*q + 5 = q. Let z(p) = -1. Let b(m) = -m + 2. Let v be (-10)/(-45) - (-68)/18. Suppose -v*c - 1 + 9 = 0. Give c*z(x) + q*b(x). -x Let w(n) = n. Suppose 0 = 3*t - 5*t - 2, 0 = -4*y + 5*t + 1. Let h(i) be the second derivative of i**3/3 + 6*i - 916. Calculate y*h(g) + w(g). -g Let l(r) = -4*r**3 - 9*r**2 + 23*r + 9. Let k(t) be the third derivative of -t**6/60 - t**5/15 + 11*t**4/24 + 2*t**3/3 + 253*t**2. What is -9*k(g) + 4*l(g)? 2*g**3 - 7*g Let u(o) = 98*o**3 - 24*o. Let f(z) = -39*z**3 + 10*z. Give -12*f(g) - 5*u(g). -22*g**3 Let o(t) = t**3 - 10*t**2 - 11*t + 2. Let i be o(11). Let l(y) = -3 - y**i + 0*y - 6*y + 2 + 7*y. Let f(d) = -d**2 + 5*d - 2. Calculate f(n) - 2*l(n). n**2 + 3*n Let u(i) = -i + 1. Let n = -81 - -76. Let d(j) = 2*j - 1. Determine n*u(q) - 5*d(q). -5*q Let k(h) = -h + 202. Let t(z) = -2*z + 198. Give 6*k(g) - 5*t(g). 4*g + 222 Let z(a) = 4*a + 2. Let n be -5*((-3)/2 - (-10)/4). Let m(f) = f + 1. What is n*m(v) + z(v)? -v - 3 Let x(q) = 37*q - 51. Let a(i) = 25*i - 32. Determine -8*a(o) + 5*x(o). -15*o + 1 Let y(r) = 23*r**3 + 6*r**2 - 5*r - 6. Let n(f) = 22*f**3 + 5*f**2 - 4*f - 6. Calculate 5*n(j) - 4*y(j). 18*j**3 + j**2 - 6 Let h(d) be the first derivative of -d**3/3 - 2*d**2 - 4*d + 14. Let g(m) = m + 1. Let n be g(3). Let x(a) = 2*a**2 + 9*a + 9. Give n*x(p) + 9*h(p). -p**2 Let i(j) = -9*j**3 + 9*j**2 + 7*j - 1. Let l(q) be the third derivative of -q**6/30 + q**5/15 + q**4/8 - q**3/6 - 561*q**2 + 2*q. What is 3*i(a) - 7*l(a)? a**3 - a**2 + 4 Let r(i) = -i**2 - 1. Let x(b) = b + 1. Let f(y) = -7*y - 3. Suppose 5*z - 2*l - 26 = 0, -l = 3*z - 30 + 10. Let o(d) = z*x(d) + f(d). Determine -o(j) - 2*r(j). 2*j**2 + j - 1 Let j(o) = 4*o**2 + 4*o + 13. Let x(l) = 5*l**2 + 3*l + 12. Determine 3*j(b) - 2*x(b). 2*b**2 + 6*b + 15 Let y(r) = 244*r**3 - 4. Let c(x) = -x**3 - 1. Determine -4*c(s) + y(s). 248*s**3 Let g be 2 + (4/(-1) - -4). Let h(r) = 11*r. Let m(q) = 10*q. What is g*h(j) - 3*m(j)? -8*j Let c(j) = -7*j**2 + 3*j + 6. Let v(r) = -r**2 + 1. Let t(g) = g + 16. Let d = 31 + -41. Let s be t(d). What is s*v(o) - c(o)? o**2 - 3*o Let t(k) = 2*k + 2. Let o(w) = w**2 + 16*w + 1. Let h be o(-18). Let d = -46 + h. Let b(s) = 8*s + 9. Determine d*t(a) + 2*b(a). -2*a Let i(r) = -2*r**2 + 5*r - 3. Let m(p) = -4968*p + 0*p**2 + 2488*p + 2486*p - 2*p**2 - 4. Suppose -3*o + 9 = 5*l, -4*o + 5*l + 12 = 3*l. Give o*m(f) - 4*i(f). 2*f**2 - 2*f Suppose 33*y = 88 + 110. Let q = -1 - -3. Suppose -y*n - 5*a = -q*n + 11, -16 = -n - 5*a. Let w(c) = c + 3. Let l(p) = -2*p - 7. Calculate n*w(j) - 4*l(j). -j + 1 Suppose -3*k = -k - 12. Let n(j) = 9*j + 9*j - k - 7*j. Let v(h) be the second derivative of 2*h**3/3 - h**2 + h. Calculate 3*n(u) - 8*v(u). u - 2 Let q(p) = -19*p**2 - 26*p - 20. Let u(a) = 6*a**2 + 9*a + 7. Calculate 6*q(v) + 17*u(v). -12*v**2 - 3*v - 1 Let f(o) = -8*o + 115. Let i(k) = 6*k - 115. Calculate -4*f(x) - 5*i(x). 2*x + 115 Let j(o) = 3*o**3 - 141*o**2 - 22. Let a(k) = 2*k**3 - 71*k**2 - 13. What is 5*a(r) - 3*j(r)? r**3 + 68*r**2 + 1 Let q(u) = 9*u**2 - 2*u + 17. Let w = -770 - -759. Let n(f) = 3*f**2 - f + 6. Determine w*n(k) + 4*q(k). 3*k**2 + 3*k + 2 Let b(g) = 2*g + 2. Let y(d) = -d - 2. Suppose 3*n + 9 = -2*l, 0 = 2*l - 476*n + 473*n + 3. Let i = 6 - 10. What is i*y(a) + l*b(a)? -2*a + 2 Let z(d) = d**3 + d**2. Let i(h) = 7*h**3 - 2*h**2 + 9*h. Calculate i(c) + 3*z(c). 10*c**3 + c**2 + 9*c Let b(k) = 4*k**2 - 5*k. Let y(d) be the second derivative of -d**4/2 + 4*d**3/3 + 447*d. Suppose -2*j = -5*j. Suppose j = -o + 2 + 6. What is o*b(q) + 5*y(q)? 2*q**2 Let w(g) = g**2 - g + 1. Let a(l) = 4*l**2 - 3*l - 102. Calculate -a(f) + 3*w(f). -f**2 + 105 Let f(n) = n - 1. Let k(w) = 3*w - 3. Let s(b) be the second derivative of -b**3/6 + 13*b**2 - 13*b. Let m be s(18). Give m*f(d) - 3*k(d). -d + 1 Let u be (7 - 1)/2 - (-3 + 10). Let o(x) = -2*x + 4. Let q(k) = -3*k + 5. Calculate u*q(i) + 5*o(i). 2*i Let d(z) = -z**2 - 2*z - 2. Let w(f) be the first derivative of 3*f**2/2 - 23*f + 25. Let k be w(10). Let q(l) = -3*l**2 - 7*l - 7. What is k*d(m) - 2*q(m)? -m**2 Let w(v) = 5*v**3 - 3*v**2 - 2*v - 6. Let m(y) = -11*y**3 + 7*y**2 + 4*y + 14. Determine 2*m(q) + 5*w(q). 3*q**3 - q**2 - 2*q - 2 Let p be (2/(-9))/(-1) + (-52)/(-9). Let q(c) = -2*c. Let n(x) = -4*x**2 - 6*x. Determine p*q(i) - 2*n(i). 8*i**2 Let w(h) = h. Let o(l) = 3*l**2 + 6*l - 3. Let q = 31 + -36. Let b(y) = q*w(y) + o(y). Let p(m) = m**2 + m - 1. What is -b(d) + 2*p(d)? -d**2 + d + 1 Let h(r) = 70*r**3 - 21*r - 21. Suppose 11*y - 15*y = 84. Let o(w) = 7*w**3 - 2*w - 2. What is y*o(g) + 2*h(g)? -7*g**3 Let r(a) = -371*a**3 + 6*a**2 + 6*a + 6. Let l(f) = 31536*f**3 - 511*f**2 - 511*f - 511. Give 6*l(i) + 511*r(i). -365*i**3 Let f be (-6)/2*(2 - 65/15). Let m(n) = -11*n**2 + 5*n + 11. Let g(o) = -6*o**2 + 3*o + 6. Give f*g(c) - 4*m(c). 2*c**2 + c - 2 Let j(s) = 3*s**3 + 3*s**2 - 2*s - 22. Let m(u) = 4*u**3 + 4*u**2 - 3*u - 23. What is -3*j(f) + 2*m(f)? -f**3 - f**2 + 20 Let x(u) = 11*u + 13. Let n(b) be the first derivative of -5*b**2/2 - 6*b + 1. Let c be 3 - -1 - (12 - (-275)/(-25)). What is c*x(g) + 7*n(g)? -2*g - 3 Let w(p) = 8*p**3 + p**2 + p + 9. Let m(k) = -k**2 - 2. Give 4*m(u) + w(u). 8*u**3 - 3*u**2 + u + 1 Let n(c) = 1270*c**3 + 1. Let u(w) = w**3 + 1. What is n(t) - u(t)? 1269*t**3 Let r(b) = 2*b**2 + 6*b - 65. Let z(n) = -n**2 - 4*n + 64. What is 2*r(u) + 3*z(u)? u**2 + 62 Let j(r) = -4*r**2 - 5*r - 5. Suppose 14*l - 13*l = 17. Let x(s) = 2*s**2 - 2 + 19*s + 4 - l*s. Give -2*j(h) - 5*x(h). -2*h**2 Let c(i) = i + 2. Let h be 2*(82/4 - 5). Let y(s) = -h + 2*s + 23 + 13. What is -7*c(l) + 3*y(l)? -l + 1 Let l(o) = -o. Suppose 0 = 4*s + 16 + 4. Let z(y) = -6*y. Let u be -8 + 2/6*3. Let h be 3 + u/(28/8). What is h*z(p) + s*l(p)? -p Let y(k) = -10*k**3 + 7*k + 21. Let o(h) = 5*h**3 - 4*h - 11. Calculate -11*o(n) - 6*y(n). 5*n**3 + 2*n - 5 Let l(h) = -14*h + 2. Let d(u) be the third derivative of 7*u**4/6 - 5*u**3/6 + 371*u**2. Determine 2*d(j) + 5*l(j
{ "pile_set_name": "DM Mathematics" }
). Let d = -12 - -33. Let x(o) = 9*o. Calculate d*c(k) - 2*x(k). 3*k Let j(h) = -6*h**2 + 13*h - 15. Let z(o) = -5*o**2 + 13*o - 12. Determine 4*j(r) - 5*z(r). r**2 - 13*r Let m(x) = -2*x + 6. Let o(q) = -3*q + 12. Suppose -52*r + 227 - 19 = 0. What is r*o(i) - 7*m(i)? 2*i + 6 Let u(q) = 5*q + 12. Let k(n) = -5*n - 10. Let r(b) = -6*k(b) - 5*u(b). Let c(f) = -7*f. Give -5*c(m) - 6*r(m). 5*m Let w(m) = 4*m - 5. Suppose -2*t - 5*k + 2 = 0, 5*t - 8 = -5*k - 3. Let v(c) = c. Give t*w(i) - 2*v(i). 2*i - 5 Let p be 20/(-16) - (-5)/20. Let i(o) = 2. Suppose -28 = 5*a + 2. Let r(v) = 5*v**2 - 6*v. Let f(h) = -h**2 + h. Let j(y) = a*f(y) - r(y). Give p*i(b) + 3*j(b). 3*b**2 - 2 Let f(i) = 409*i**3 + 2*i**2 + 2*i - 2. Let k(z) = -1227*z**3 - 6*z**2 - 7*z + 7. Determine 7*f(s) + 2*k(s). 409*s**3 + 2*s**2 Let t(a) = -10*a**2 - 20*a + 2. Let w(u) = 2*u**2 - u - 1. Calculate t(n) + 4*w(n). -2*n**2 - 24*n - 2 Suppose 4*n + 3*i = 9 - 18, -3*i + 9 = -2*n. Let q(m) = -m**3 - 2*m - 2. Let p(v) = -v**3 - 2*v - 2. Determine n*q(b) + 4*p(b). -b**3 - 2*b - 2 Let x(r) = -3*r**2 + r - 1. Let n(q) = 10*q**2 - 7*q + 5. What is n(f) + 3*x(f)? f**2 - 4*f + 2 Let u(n) = -3*n**3 + 16*n**2 - 5*n + 55. Let r(s) = s**3 - 6*s**2 + 2*s - 18. Determine -11*r(p) - 4*u(p). p**3 + 2*p**2 - 2*p - 22 Let f(y) = 7*y - 20. Let v(z) = -26*z + 79. Calculate -22*f(j) - 6*v(j). 2*j - 34 Let d(u) = -2*u + 5. Suppose -4*c - 12 = 4*q, -3*q - 3 = 4*c + 10. Let v(j) = -4*j + 11. Determine c*v(a) + 9*d(a). -2*a + 1 Let l(t) = 13*t**2 - 3. Let f(u) = 449*u**2 - 7*u - 90. Let a(n) = 225*n**2 - 4*n - 44. Let c(j) = 7*a(j) - 4*f(j). Calculate -3*c(o) - 52*l(o). -13*o**2 Let s(h) = -7*h - 4. Let b(y) = 2*y - 2. Determine -b(k) + s(k). -9*k - 2 Let a(o) = -2*o**3 + o**2 + o + 2. Let r(m) = -247*m**3 + 3*m**2 + 3*m + 5. Determine 3*a(t) - r(t). 241*t**3 + 1 Let w(v) = -v**2 - 4*v + 5. Let p(y) = -2*y**2 - 4*y + 6. Calculate 6*p(t) - 7*w(t). -5*t**2 + 4*t + 1 Let h(c) = 6*c - 4. Let r(j) be the second derivative of 11*j**3/6 - 7*j**2/2 + 339*j. Determine 7*h(a) - 4*r(a). -2*a Let t(r) = 63*r - 11. Let z(x) = 64*x - 9. Give -4*t(l) + 5*z(l). 68*l - 1 Let b(o) = -2*o**3 - 4*o**2 + 1. Let a = 3 - -7. Suppose a*u = 5*u + 15. Let d(x) = -6*x**3 - 11*x**2 + 3. Determine u*d(r) - 8*b(r). -2*r**3 - r**2 + 1 Let r(c) = -8*c - 25. Let d(n) = -n + 2. Calculate 3*d(p) - r(p). 5*p + 31 Let x(q) = -7*q**2 + 8*q + 5. Let l(u) = u**2 - 3*u. Let w(i) = -3*l(i) - x(i). Let p(c) = 2*c**2 + c - 3. Give 5*p(g) - 3*w(g). -2*g**2 + 2*g Let i(q) = q**3 - 5. Let d = 143 - 133. Let x(w) = 1. Let h = 10 + -8. What is d*x(z) + h*i(z)? 2*z**3 Let k(q) = -11*q + 26. Let x(c) = -16*c + 39. Let y(f) = -7*k(f) + 5*x(f). Let r(v) = 2*v - 7. Determine -7*r(i) - 4*y(i). -2*i - 3 Let r(n) = 4*n + 5 + 0*n - 2 - 2*n. Let m(b) = -5*b - 8. Suppose 0*j = -3*j + 126. Let u be ((-6)/4)/((-21)/j). Calculate u*m(s) + 8*r(s). s Let o(g) = -2*g**2 - 73*g. Let l(p) = 11*p**2 + 438*p. Calculate -6*l(z) - 34*o(z). 2*z**2 - 146*z Let h(m) = -2*m - 378. Let g(z) = -2*z - 377. Calculate 3*g(l) - 2*h(l). -2*l - 375 Let n(o) = 2*o**2. Let g(k) = -2*k**2 + 1. Suppose -5*f + 4*i = 7, -f - 290*i - 9 = -287*i. Suppose -3*h - a = 2, -4*h + 2*a = h + 18. What is f*g(t) + h*n(t)? 2*t**2 - 3 Let x(t) = 4*t - 1. Let d(m) = 31*m - 25. Let n(k) = -11*k + 9. Let g(z) = -4*d(z) - 11*n(z). Suppose 28 = 3*c + 10. Give c*g(w) + 5*x(w). 2*w + 1 Let y(p) = -7 - 4*p + 3*p - 2*p**2 + 8*p. Let o(b) = -b**2 - 7*b - 3. Let j(g) = g**2 + 2*g + 3. Let c(m) = 2*j(m) + o(m). What is -5*c(n) - 2*y(n)? -n**2 + n - 1 Suppose -6*p + 2*p = -v - 10, -3*p - v + 11 = 0. Let k(m) = -1 + m + p*m - 1. Let c(r) = -2*r + 1. What is 5*c(o) + 2*k(o)? -2*o + 1 Let h(s) = 5*s**2 + 5. Let l(g) be the second derivative of -g**4/12 - g**2/2 + g. Let m = -10 - -18. Suppose -m*t + 24 = -64. Give t*l(z) + 2*h(z). -z**2 - 1 Let z(y) = -6*y**2 - 9*y - 11. Let r(w) = w**2 - w - 1. Give 33*r(n) - 3*z(n). 51*n**2 - 6*n Let a(p) = -3*p**3 + 13 - 2*p - 2*p**3 + 5 - 10. Let l(z) = -4*z**3 - z + 7. Give -2*a(b) + 3*l(b). -2*b**3 + b + 5 Let t(k) = 19. Let p(q) = 2*q + 1. Calculate 3*p(c) - t(c). 6*c - 16 Let j(q) = 3*q**3 - 5*q**2 + 6*q - 5. Let o(p) be the first derivative of -7/2*p**2 + 2*p**3 - p**4 - 21 + 6*p. Let z be -2 - (3 + 1)*1. Give z*j(i) - 5*o(i). 2*i**3 - i Let j(w) = w**3 - 15*w**2 - 1. Let f(l) = 6*l**3 - 75*l**2 - 6. Determine 2*f(u) - 11*j(u). u**3 + 15*u**2 - 1 Suppose 2*u - 4*i + 10 = -u, -u - 2*i + 10 = 0. Let v(p) = -5*p**2 + 6*p + 6. Let x(l) = l**2 - l - 1. Calculate u*v(n) + 11*x(n). n**2 + n + 1 Let x(z) = 1. Let t(j) = 4*j + 8. Let l = 385 - 384. What is l*t(i) - 5*x(i)? 4*i + 3 Let m(b) = -7*b**2 + 13*b - 3. Let y(i) = 5*i**2 - 14*i + 2. What is -2*m(j) - 3*y(j)? -j**2 + 16*j Let a(l) = -2*l + 4. Let b(h) = -6*h + 33. Let k be b(-7). Let p = 81 - k. Let u(o) = o - 1. Calculate p*u(y) + 2*a(y). 2*y + 2 Let t(c) = -2*c**2 - 3*c + 5. Suppose 0 = -3*u + 3 + 3. Let v(a) be the second derivative of -1/2*a**3 + 0 - 1/6*a**4 + 4*a + u*a**2. Determine 4*t(f) - 5*v(f). 2*f**2 + 3*f Let d = 8 - 1. Let b(i) = -5*i**2 - 2*i - 2. Suppose 0 = h - 75 + 73. Let o(k) = 16*k**2 + 7*k + 7. Determine d*b(c) + h*o(c). -3*c**2 Let o(w) = -30*w**2. Suppose -6*s + 8 = 14. Let z(k) = -k**2. Give s*o(q) + 25*z(q). 5*q**2 Let s(j) = 3*j**2 - 3*j - 2. Let m(i) = -27*i**2 - 4*i + 1 - 26*i**2 + 87*i**2 - 32*i**2 - 3. Determine -2*m(t) + 3*s(t). 5*t**2 - t - 2 Let f(y) = 8*y**3 - 6*y**2 - 6*y + 6. Let q(d) be the first derivative of -d**4/4 + d**3/3 + d**2/2 - d + 237. Calculate -5*f(u) - 30*q(u). -10*u**3 Let d be (1 - 2/6)/(2/(-3)). Let l(f) = f - 1. Let w(j) = -2*j + 12. Give d*w(v) - 4*l(v). -2*v - 8 Let y(r) = 29*r**2 + 14*r - 6. Let h(m) = 32*m**2 + 15*m - 6. Determine 6*h(q) - 7*y(q). -11*q**2 - 8*q + 6 Let x = 1 + 10. Let k(s) = 42*s - 62. Let d(c) = -11*c + 14. Let u(l) = -9*d(l) - 2*k(l). Let f(n) = 8*n - 1. Calculate x*f(t) - 6*u(t). -2*t + 1 Let r(q) = -19 - 5 - 6 - 10 + 39. Let w(d) = -3*d + 9. Determine 6*r(l) + w(l). -3*l + 3 Let y(a) = -a. Let n be 2/3*(-59 - -50). Let j(v) = 2*v**3 - 2*v - 1. Let z be j(-2). Let u(k) = 2*k. Calculate n*u(b) + z*y(b). b Let h(b) = 7*b. Let v(a) = -19*a - 2. Let i(l) = 5*h(l) + 2*v(l). Let o(r) = 5*r + 7. Give -7*i(n) - 4*o(n). n Let i(d) = -d - 1. Let x(f) = 7*f + 9. Let h be (-3)/((-28 + 29)/((-2)/(-6))). Give h*x(u) - 6*i(u). -u - 3 Let g(d) = -4*d**2 + 132*d - 13. Let r(i) = i**2 - 33*i + 3. Give 4*g(j) + 18*r(j). 2*j**2 - 66*j + 2 Let c be 20/(-8)*(-4)/(-5). Let l(t) = -4 + 3 + 0 + 0. Let j(h) = -h + 11. Give c*j(u) - 22*l(u). 2*u Let c(v) be the third derivative of v**5/12 + v**3/3 - 12*v**2 - 1. Let d(u) = 119*u**2 + 49. Calculate -49*c(o) + 2*d(o). -7*o**2 Let p(c) = -22*c + 5. Let m(q) = -5*q - 1. What is -2*m(k) - p(k)? 32*k - 3 Let z be (1 - 0)*-11*1. Let s(b) = -103*b**2 + 16 - 14*b**2 + 116*b**2. Let u(p) = 3. Determine z*u(f) + 2*s(f). -2*f**2 - 1 Let a(u) = u. Let h(k) = -3*k**2 + 25. Let o(g) = 4*g**2 - 31. Let l(x) = -5*h(x) - 4*o(x). Give 2*a(b) + l(b). -b**2 + 2*b - 1 Let m(z) = -7*z**3 - 5*z**2 + 5*z - 5. Let k(j) = 6*j**3 + 4*j**2 - 4*j + 5. Let u be 1/(9/39) - 2/(-3). Give u*k(n) + 4*m(n). 2*n**3 + 5 Let y(l) = l**2 + 1. Suppose -7*w - 17 = -52. Let r(b) = b**3 + 3*b**2 + 5. Determine w*y(q) - r(q). -q**3 + 2*q**2 Let v(q) = 7*q**2 - 6*q + 113. Let u(n) = 12*n**2 - 10*n + 225. What is -3*u(l) + 5*v(l)? -l**2 - 110 Let m(v) = 6*v**2 - 6*v + 6. Let a(u) = -u**3 - 5*u**2 + 5*u - 5. Determine -4*a(p) - 3*m(p). 4*p**3 + 2*p**2 - 2*p + 2 Let r(o) = -2*o**2 - 7. Let l(b) = -b**3 - 36*b**2 + 37*b + 2. Let u be l(-37). Let v(m) = m + 1. Determine u*v(a) + r(a). -2*a**2 + 2*a - 5 Let p(j) = 31*j + 71. Let d(b) = -16*b - 38. What is -7*d(v) - 4*p(v)? -12*v - 18 Let o(v) = -3*v**2 + 3*v. Let p(h) = 4*h**2 - 2*h. Suppose 48*t - 21*t = -81. What is t*p(u) - 2*o(u)? -6*u**2 Let d(l) = -6*l - 1. Let o be (-245)/(-35) + 0 + -8. Let n(h) = h. What is o*d(k) - 4*n(k)? 2*k + 1 Let g = 205 + -217. Let n(l) = 57*l**3. Let v(y) = -23*y**3. Give g*v(o) - 5*n(o). -9*o**3 Let k(q) = -208*q**2 - q. Let c(w) = 207*w**2 + w. Give -5*c(r) - 6*k(r). 213*r**2 + r Let i(g) = -20*g**2 - 34*g. Let s(v) = 7*v**2 + 11*v. What is -4*i(z) - 11*s(z)? 3*z**2 + 15*z Let v(f) = 6*f - 8. L
{ "pile_set_name": "DM Mathematics" }
57, -277, -419, -589, -793, -1037? -v**3 - 2*v**2 - 91*v + 41 What is the i'th term of -4, 16, 46, 86? 5*i**2 + 5*i - 14 What is the u'th term of -1691, -1693, -1695, -1697, -1699? -2*u - 1689 What is the a'th term of 882, 879, 876, 873, 870, 867? -3*a + 885 What is the t'th term of -13, 8, 65, 176, 359? 3*t**3 - 16 What is the v'th term of 4, 12, 20, 28? 8*v - 4 What is the y'th term of -515, -1024, -1519, -1994, -2443, -2860, -3239, -3574? y**3 + y**2 - 519*y + 2 What is the v'th term of 187, 236, 285, 334, 383, 432? 49*v + 138 What is the f'th term of 8, -13, -56, -121, -208, -317, -448? -11*f**2 + 12*f + 7 What is the u'th term of -30, -43, -56? -13*u - 17 What is the x'th term of 0, 12, 34, 72, 132, 220, 342, 504? x**3 - x**2 + 8*x - 8 What is the h'th term of 220, 879, 1978, 3517? 220*h**2 - h + 1 What is the b'th term of -498, -497, -494, -489, -482, -473, -462? b**2 - 2*b - 497 What is the h'th term of 16, 30, 44, 58, 72, 86? 14*h + 2 What is the j'th term of -23, -22, -21, -20, -19? j - 24 What is the q'th term of 368, 365, 362, 359, 356, 353? -3*q + 371 What is the x'th term of 18, 30, 42, 54? 12*x + 6 What is the d'th term of -33, -123, -273, -483, -753, -1083? -30*d**2 - 3 What is the w'th term of 1, 13, 25, 37, 49, 61? 12*w - 11 What is the y'th term of 128, 267, 406, 545? 139*y - 11 What is the q'th term of 682, 2739, 6168, 10969? 686*q**2 - q - 3 What is the m'th term of 17, 34, 67, 122, 205? m**3 + 2*m**2 + 4*m + 10 What is the i'th term of 1294, 1285, 1276, 1267, 1258, 1249? -9*i + 1303 What is the c'th term of 138, 136, 132, 126, 118, 108, 96? -c**2 + c + 138 What is the h'th term of 88, 106, 120, 130, 136, 138, 136? -2*h**2 + 24*h + 66 What is the r'th term of 44, 50, 58, 68, 80, 94? r**2 + 3*r + 40 What is the k'th term of -23, 16, 81, 172, 289, 432? 13*k**2 - 36 What is the o'th term of 108, 448, 1018, 1818, 2848, 4108? 115*o**2 - 5*o - 2 What is the a'th term of 1215, 1222, 1243, 1284, 1351? a**3 + a**2 - 3*a + 1216 What is the k'th term of -63, -72, -95, -138, -207, -308, -447? -k**3 - k**2 + k - 62 What is the j'th term of -143, -204, -263, -320, -375, -428? j**2 - 64*j - 80 What is the j'th term of -256, -257, -260, -265, -272, -281, -292? -j**2 + 2*j - 257 What is the o'th term of -184, -373, -556, -739, -928, -1129? -o**3 + 9*o**2 - 209*o + 17 What is the m'th term of -14, 19, 68, 139, 238, 371? m**3 + 2*m**2 + 20*m - 37 What is the z'th term of 373, 377, 381, 385, 389? 4*z + 369 What is the n'th term of 3093, 3097, 3101? 4*n + 3089 What is the k'th term of -6449, -6447, -6443, -6437, -6429? k**2 - k - 6449 What is the w'th term of 2100, 4200, 6298, 8394, 10488? -w**2 + 2103*w - 2 What is the j'th term of 26, 76, 140, 224, 334, 476, 656, 880? j**3 + j**2 + 40*j - 16 What is the w'th term of -1123, -2245, -3367, -4489, -5611? -1122*w - 1 What is the b'th term of 12, 13, 14, 15, 16, 17? b + 11 What is the h'th term of -39, -38, -39, -42, -47, -54, -63? -h**2 + 4*h - 42 What is the u'th term of 6599, 13199, 19799? 6600*u - 1 What is the m'th term of -65, -59, -49, -35, -17? 2*m**2 - 67 What is the c'th term of -2761, -2756, -2751, -2746, -2741? 5*c - 2766 What is the t'th term of -14, -24, -32, -38, -42? t**2 - 13*t - 2 What is the s'th term of 36, 40, 46, 54, 64? s**2 + s + 34 What is the n'th term of 99, 193, 285, 375, 463? -n**2 + 97*n + 3 What is the j'th term of -37, -73, -109? -36*j - 1 What is the c'th term of -1, 6, 7, -4, -33, -86, -169, -288? -c**3 + 3*c**2 + 5*c - 8 What is the g'th term of -1966, -3930, -5894, -7858? -1964*g - 2 What is the n'th term of -1409, -1359, -1307, -1253? n**2 + 47*n - 1457 What is the r'th term of 19, 136, 473, 1144, 2263, 3944, 6301? 19*r**3 - 4*r**2 - 4*r + 8 What is the v'th term of 7, 24, 49, 82, 123? 4*v**2 + 5*v - 2 What is the k'th term of 1423, 2845, 4269, 5695, 7123? k**2 + 1419*k + 3 What is the t'th term of -97, -100, -103, -106, -109, -112? -3*t - 94 What is the u'th term of -560, -569, -590, -629, -692? -u**3 - 2*u - 557 What is the d'th term of -74, -55, -32, -5, 26, 61, 100? 2*d**2 + 13*d - 89 What is the l'th term of -96, -195, -296, -399? -l**2 - 96*l + 1 What is the f'th term of -53, -56, -59, -68, -89, -128? -f**3 + 6*f**2 - 14*f - 44 What is the q'th term of -6, -23, -40, -57, -74, -91? -17*q + 11 What is the z'th term of -4744, -4744, -4754, -4780, -4828, -4904, -5014? -z**3 + z**2 + 4*z - 4748 What is the o'th term of -49, -31, 5, 65, 155, 281, 449, 665? o**3 + 3*o**2 + 2*o - 55 What is the t'th term of -15, -48, -97, -162, -243? -8*t**2 - 9*t + 2 What is the z'th term of -12, -4, 18, 60, 128? z**3 + z**2 - 2*z - 12 What is the h'th term of 53, 50, 45, 38, 29? -h**2 + 54 What is the r'th term of -128, -127, -126, -125? r - 129 What is the k'th term of 1175, 2342, 3509? 1167*k + 8 What is the x'th term of 4371, 4372, 4373, 4374, 4375, 4376? x + 4370 What is the o'th term of -43, -53, -41, 5, 97, 247, 467? 2*o**3 - o**2 - 21*o - 23 What is the u'th term of -10728, -21471, -32230, -43011, -53820, -64663? -u**3 - 2*u**2 - 10730*u + 5 What is the q'th term of 453, 434, 417, 402, 389, 378, 369? q**2 - 22*q + 474 What is the g'th term of -279, -567, -857, -1149, -1443? -g**2 - 285*g + 7 What is the s'th term of -9, -44, -103, -186, -293? -12*s**2 + s + 2 What is the m'th term of 248, 246, 242, 236, 228, 218? -m**2 + m + 248 What is the j'th term of 132, 539, 1218, 2169? 136*j**2 - j - 3 What is the n'th term of -26, -34, -56, -98, -166, -266, -404, -586? -n**3 - n**2 + 2*n - 26 What is the j'th term of 309, 606, 879, 1116, 1305, 1434, 1491, 1464? -2*j**3 + 311*j What is the h'th term of 6, 5, 0, -9, -22? -2*h**2 + 5*h + 3 What is the y'th term of -370, -378, -400, -442, -510, -610? -y**3 - y**2 + 2*y - 370 What is the d'th term of 233, 221, 201, 173, 137, 93, 41? -4*d**2 + 237 What is the u'th term of -20, -18, -14, -8, 0, 10, 22? u**2 - u - 20 What is the x'th term of -15, -80, -189, -342, -539, -780? -22*x**2 + x + 6 What is the v'th term of -4860, -4867, -4878, -4893? -2*v**2 - v - 4857 What is the g'th term of -24, -24, -22, -18, -12, -4? g**2 - 3*g - 22 What is the v'th term of 8, -6, -20, -34? -14*v + 22 What is the r'th term of -142, -155, -168, -181, -194? -13*r - 129 What is the g'th term of 4, -11, -28, -41, -44, -31? g**3 - 7*g**2 - g + 11 What is the x'th term of -31, -34, -37, -40? -3*x - 28 What is the d'th term of 129, 262, 395, 528, 661? 133*d - 4 What is the f'th term of 214, 427, 652, 895, 1162, 1459, 1792, 2167? f**3 + 206*f + 7 What is the l'th term of 15, 45, 109, 225, 411, 685, 1065? 3*l**3 - l**2 + 12*l + 1 What is the z'th term of -8, -62, -152, -278, -440? -18*z**2 + 10 What is the z'th term of 14, 4, -20, -64, -134, -236, -376, -560? -z**3 - z**2 + 16 What is the s'th term of 1, -11, -39, -89, -167, -279, -431, -629? -s**3 - 2*s**2 + s + 3 What is the z'th term of -39, -150, -331, -582? -35*z**2 - 6*z + 2 What is the m'th term of -24, -44, -86, -162, -284? -2*m**3 + m**2 - 9*m - 14 What is the y'th term of -89, -105, -131, -167, -213, -269, -335? -5*y**2 - y - 83 What is the t'th term of -161, -160, -159, -158? t - 162 What is the t'th term of -448, -408, -368, -328? 40*t - 488 What is the t'th term of 28, 32, 36, 40, 44, 48? 4*t + 24 What is the v'th term of 241, 476, 707, 934? -2*v**2 + 241*v + 2 What is the c'th term of -105, -206, -307? -101*c - 4 What is the i'th term of -11, -13, -17, -23? -i**2 + i - 11 What is the o'th term of -51, -43, -33, -21? o**2 + 5*o - 57 What is the q'th term of 272, 273, 274, 275, 276? q + 271 What is the t'th term of -6, -7, 2, 27, 74, 149, 258, 407? t**3 - t**2 - 5*t - 1 What is the q'th term of 98, 676, 2238, 5276, 10282, 17748? 82*q**3 + 4*q + 12 What is the w'th term of 101, 97, 91, 83, 73, 61, 47? -w**2 - w + 103 What is the o'th term of 32186, 32190, 32196, 32204? o**2 + o + 32184 What is the n'th term of -194, -195, -196, -197? -n - 193 What is the n'th term of -139, -294, -447, -598, -747? n**2 - 158*n + 18 What is the k'th term of -3643, -3642, -3641? k - 3644 What is the q'th term of -520, -540, -572, -622, -696? -q**3 - 13*q - 506 What is the a'th term of -69, -134, -199, -264, -329, -394? -65*a - 4 What is the y'th term of -2612, -2615, -2618? -3*y - 2609 What is the j'th term of -183, -711
{ "pile_set_name": "DM Mathematics" }
for z. -2 Let m be (3/(4 + -10))/(2/(-20)). Suppose -1 = -f - 0*v - v, -f + 11 = -4*v. Solve -2 = -m*q + f for q. 1 Suppose -2*b + 18 = 4*z - b, 0 = -5*z + 3*b + 14. Solve -y + 3*y = -z for y. -2 Suppose 0 = 153*n - 154*n. Solve -2*h - 2*h + 16 = n for h. 4 Let l(t) = -t**2 + 6*t + 2. Let x be l(6). Suppose 4*w = 5*m - 16, -m - x*m - 5*w + 17 = 0. Let r = m + -2. Solve 3*q + 1 = -r for q. -1 Suppose -3*p = 2*v - 28, 2*p - 10*v + 14*v = 32. Solve 16*m - 13*m + p = 0 for m. -2 Let a = 3 - 1. Let n be 23/(-46) + 1/a. Solve n = -p - 1 - 1 for p. -2 Suppose -4*m - a = -5, 4*m - 5*a + 25 = 7*m. Solve -7*v + 2*v + 10 = m for v. 2 Suppose 6*h - h - 49 = 3*r, 2*r = 4*h - 36. Let k = r - -9. Solve -17 = 4*q - k for q. -4 Suppose -4*u + 5*s = s - 8, 0 = u - 3*s. Solve -n = 2*n - u for n. 1 Let v be (-3)/2*2/3. Let y be (v/(-2))/(4/16). Solve -b + y - 3 = 0 for b. -1 Let q(u) = u**2 - 9*u - 192. Let p be q(21). Solve -p = 14*g - 2*g for g. -5 Suppose -3*k - 6 = -6*k. Suppose t = 4*m, k*m = -2*m + 4*t. Suppose 2*z - 3*z + 2 = 0. Solve m*u = u + z for u. -2 Let r be 2 + 1 - (-67 + 53). Solve 9*y + 1 = -r for y. -2 Let p(f) = -f**3 + 6*f**2 - 4*f - 2. Let c be p(5). Suppose -1 - 1 = -2*v, -4*v + 1 = -c*i. Let l = 7 + i. Solve l*a = 4*a for a. 0 Let h be (-142)/(-46) + (-26)/299. Suppose -5 = h*b - 17. Solve -4 + 0 = -b*x for x. 1 Let f be (-116)/(-10) + ((-14)/(-35))/1. Solve 0 = -5*o + f + 8 for o. 4 Suppose 2*p - q = 4, 2*p + 5*q - 14 = q. Suppose -8*o - 14 = -3*x - 10*o, 5*o - 28 = -4*x. Solve 0 = -p*r - x + 8 for r. 2 Let f be (2/4)/1 + (-72)/(-144). Let o be f/4 - 30/(-8). Solve -l - 10 = o*l for l. -2 Let x(a) = 2*a - 8. Suppose -5*c + 2*n + 24 = -0*n, -2*n + 4 = 2*c. Let t be x(c). Solve g = -t*g - 3 for g. -3 Let t(o) be the second derivative of o**3/6 + 3*o**2 - 3*o. Let f be t(-4). Solve f*d = 4*d + 10 for d. -5 Suppose -2*l - l + 30 = c, 3*c + l - 66 = 0. Suppose -2*d + 23 = c. Solve -4*h - 15 = d for h. -4 Let k(u) = -u**3 - u**2. Let o be k(-1). Suppose -2*g - 3*g = -10. Suppose 3*q + 2*s - 7 = -g*s, 2*q + 5*s = -7. Solve 4*c + q - 1 = o for c. -2 Suppose 0 = 3*t - 5*t + 1972. Let y be t/255 + 4/30. Solve -3*b - 5 = -y*b for b. 5 Let g(a) = 11*a**2 + 5*a + 4. Let p be g(-2). Solve -35*z + 3 = -p*z for z. -1 Suppose -28*z + 5*z + 69 = 0. Suppose 5*m - 4*x + 4 = 5, 5*x - 5 = 0. Solve m + 8 = z*w for w. 3 Suppose -3*o + z + 15 = 4*z, 0 = 5*o + z - 25. Let i(g) = -g**3 + 24*g**2 - 20*g - 65. Let l be i(23). Suppose 0 = -l*j + 8. Solve -y + j*y = o for y. 5 Let m(a) = 2*a + 1. Let i(z) = -12*z - 1. Let j(x) = -2*i(x) - 18*m(x). Let b be j(-3). Solve 5*d = -0*d + b for d. 4 Suppose -f + 0*p + 5*p = -4, -4*f = 5*p - 16. Suppose -f*z - 59 = -91. Solve 3*i - z*i + 15 = 0 for i. 3 Let k(x) = 2*x**3 + 19*x**2 + 29*x + 85. Let w be k(-8). Solve 14*v + w = 29*v for v. 3 Suppose 3*l - 3*c - 104 = 2*c, -l - c + 48 = 0. Let s = l + -38. Solve 5*j - s = 10 for j. 3 Let b(h) = -32*h**2 - h + 3. Let u be b(2). Let y = -122 - u. Solve 0 = -y*k - 2 - 3 for k. -1 Let m(n) = -n**3 - 9*n**2 - 15*n - 7. Let f be m(-7). Solve f = k + 4 - 2 for k. -2 Let i = -16 + 20. Let y be (-2 + -6)/2 + 8. Suppose 20 = p - 4*z, 0 = p - y*z + 3*z - 8. Solve 12 = i*u - p for u. 4 Suppose 4*x - 37 = -5*m, 18 = 5*m + 5*x - 22. Solve 2 - m = -h for h. 3 Let c = -33 + 66. Suppose -3*o - 12 = -3*j + c, 0 = -4*o + 16. Suppose -g + 20 - j = 0. Solve 4*r - 9 + g = 0 for r. 2 Suppose -3*k = 4*y - 27, -3*y + 10 = 5*k - 24. Solve 38*b - k = 33*b for b. 1 Let c = -7 + 10. Let j be -6*(7/42*2)/(-1). Solve -j*q = -7 - c for q. 5 Let y(a) = a + 5. Let o be 4*41/2 + -2. Let h be (o/(-24))/((-2)/(-3)). Let g be y(h). Solve g = 3*n - 0*n + 3 for n. -1 Let a = -208 - -270. Solve a = -5*x + 37 for x. -5 Let p = 48 - 45. Solve -s = -p*s for s. 0 Let m be ((-5)/(5/(-8)))/2. Let q(v) be the first derivative of -v**4/4 + 5*v**3/3 - 3*v**2/2 - 3*v - 4. Let x be q(m). Solve -5 = -2*l - x for l. 2 Let v = 9 - 26. Let z = -23 - v. Let l be 1/z + (-148)/(-24). Solve b = l*b for b. 0 Suppose -2*b - 12 = -3*v + 13, -v + 4*b + 25 = 0. Let f = 7 - v. Solve f*x - 3 + 1 = 0 for x. 1 Suppose 0 = -u + 5*l - 10, -3 + 5 = u + l. Solve 3*c + 7*c - 10 = u for c. 1 Suppose 2*g - 31 = -11. Suppose -93 + 81 = -2*k. Suppose a = 10 - k. Solve -3*d + g = a for d. 2 Suppose 5*b = 3*j - 20, -2*j - 2*b + 8 = -0*j. Suppose j*s = 2 + 8. Solve s*i - 2 = 4 for i. 3 Suppose -j - 19 = -20, 2*c + 4*j = 8. Solve -12 = c*d + d for d. -4 Suppose 2*p - 4*p = -8. Let w(f) = -2*f**3 + 47*f**2 - 20*f - 63. Let s be w(23). Solve -p*k = -2*k - s for k. 3 Suppose 5*u = 2*u - 120. Suppose -3*g + 46 = 2*h, -2*g + 5*h = 2*g - 23. Let q be (-2)/6 - u/g. Solve 2*z - q = z for z. 3 Let l = -1530 - -1559. Solve -4*x - 37 = -l for x. -2 Let g(m) = 2*m**3 + 2*m**2 - 12*m + 10. Let k be g(1). Solve -k*y = y + 12 for y. -4 Suppose 6 = 2*j - 4. Suppose -l = 4*b + 451, 9 + 0 = -3*l. Let o = b + 112. Solve o*h - 15 = -j*h for h. 3 Let b(l) = 3*l**2 - 3*l. Let t be b(4). Let a be t/(-27)*3/(-2). Solve y + a*y = 9 for y. 3 Let p(j) = 2*j**2 + 8*j + 8. Let c be p(-4). Let z = c - 5. Solve 2*h - 2 = z*h for h. -2 Let x = 375 - 375. Solve -z + 5*z - 4 = x for z. 1 Suppose -p - 4*p + 5*r = -65, 4*p - 2*r - 52 = 0. Solve -5*d = p + 7 for d. -4 Let v = 32 - 18. Let a be (-1)/(-2)*140/v. Solve -a = r - 1 for r. -4 Let u be -3 + 28 - 12*(-11)/44. Solve 13*o - 37 = u for o. 5 Let b = 571 + -569. Solve b*n = -2*n for n. 0 Suppose -15*f = -95 - 10. Solve 0 = f*o - 9 - 19 for o. 4 Let z(g) = g + 1. Let h be z(7). Let v = h - 3. Suppose 0 = 2*m + k - 11, -k = v*m + k - 26. Solve -16 = -5*y + m for y. 4 Suppose 0 = -2*f - k + 9, -3*k - 5 = f - 12. Solve -1 = -5*g + f*g for g. 1 Let r = -46 - 1. Let y = -45 - r. Solve 6*z - y*z = 12 for z. 3 Let b(q) = 2*q**2 - 7*q - 12. Let i be b(-2). Solve -i*z + 15 = -15 for z. 3 Let m be 2116/(-64) - (-4)/64. Let p be (-4)/(-6) + (-516)/(-9). Let r = m + p. Solve -6*l + r = -l for l. 5 Let o be (-8)/28*7*-2. Solve 0 = -6*f + o*f + 2 for f. 1 Suppose 0 = 20*g - 681 + 221. Solve -g*s + 18*s = 0 for s. 0 Let c(o) = o**2 - 6*o - 44. Let s be c(11). Solve 4*x + s - 31 = 0 for x. 5 Let b be (175/(-5))/7 + 9. Solve -b*y - 9*y - 65 = 0 for y. -5 Let q = -90 - -45. Let y be ((-6)/9)/(6/q). Solve f + y = -0*f for f. -5 Suppose 4*j = -2*y + 8, 75 = j + 5*y + 55. Solve 10*k - 16*k = j for k. 0 Suppose 5*w = 7 - 47. Let s be w - (2/2 + -5) - -7. Solve 0 = -s*o + 4*o - 4 for o. 4 Suppose 0 = y + 464 - 489. Let j(g) = -g**2 - 6*g + 3. Let a be j(-6). Solve a*c + 10 = y for c. 5 Let n(c) = -c**3 + 15*c**2 - 2*c - 166. Let i be n(14). Solve -i*j - 12 = 2*j for j. -3 Let j(y) = -y**3 + 4*y**2 + 57*y + 14. Let w be j(-6). Solve -w*i - 4 = -36*i for i. 1 Let f = -15 + 9. Let z = f + -11. Let k = z + 22. Solve 0 = k*l - 4 - 6 for l. 2 Suppose -27 + 6 = -3*p - 3*s, 0 = 3*p + 5*s - 29. Solve 0 = -p*l + 5 - 8 for l. -1 Let q be (2 - 1) + 14/(-2). Let x = -18 + 8. Let a = q - x. Solve 0 = a*c + c for c. 0 Let o(h) = -h**3 - 8*h**2 - 2*h - 12. Let t be o(-8). Let i = 4404 - 4402. Solve -i = -m - t for m. -2 Let i(s) = s**2 + 16*s - 25. Let q be i(-18). Let k = q - 6. Solve 0*y = -k*y + 25 for y. 5 Let u(p) be the second derivative of 0 - 1/2*p**2 + 1/4*p**4 - 1/3*p**3 + 2*p. Let t be u(-1). Solve -j + t = 9 for j. -5 Let b(u) = -u**2 + 24*u - 30. Let z be b(18). Let k be z/19 - 2/19. Solve 0 = -k*d - 4 for d. -1 Suppose 21 = 120*j - 117*j. Solve 11*r - j*r = 12 for r. 3 Suppose -182 = -4*i + 2*t, 0 = -7*i + 2*i - 5*t + 205. Let x = i - 40. Solve k - x = -3 for k. 1 Suppose -4*h - 2*u = -20, -5*u = 2*h - 7*h - 5. Let w(t) = -7 - t**3 - 2 - 6*t**2 - h*t + 3. Let a be w(-6). Solve 0*k - a = 4*k for k. -3 Suppose 4 = -i + 5. Let x be 3/i - 3/1. Suppose 3*k + 5*t - 5 = x, -2*k - 4*t = -0*k - 2. Solve 0 = u + 4*u - k for u. 1 Let c = 357 - 334. Solve c - 3 = 5*y for y. 4 Suppose n = -4 - 3. Let o = 11 + n. Suppose o*t + s + 0 = 5, s + 3 = 0. Solve m = -m + t for m. 1 Suppose -2*g = 5*y - 16, 5*g - 16 = -5*y + 9. Suppose 4*p = 37 + 3. Suppose 3*u = -2*x + p, 0 = x - 0 - 2. Solve -y - u = r for r. -4 Let s be 5 + (21/(-7) - 0). Suppose 25 = a - 3. Suppose -z = 0, -4 - a = -4*x - s*z. Solve k = -k - x for k. -4 Suppose 14 + 16 = 3*l. Let g = l - 10. Solve -6*j + j - 5 = g f
{ "pile_set_name": "DM Mathematics" }
d) 1 b Let n be 4/936*27*(-1 + 2/(-6)). What is the third smallest value in 2/21, -10.5, n, 4? 2/21 Let k be 4/(-18) - 120/675. Let c = -1910 - -1914. What is the second biggest value in -1/2, c, k? k Let r = -0.24861 - -0.44861. Which is the third smallest value? (a) 0.4 (b) -33 (c) 3 (d) r (e) -1 d Let a = 3748.5 + -3749. What is the biggest value in -5, a, -4, -3, 1/17? 1/17 Let g = -1206/7 + 12053/70. Which is the second smallest value? (a) -11/3 (b) 0 (c) g c Suppose 28*j - 19*j = 23*j + 58*j. Which is the second biggest value? (a) j (b) -13/2 (c) 4 a Let l = 2/37851 + 454198/264957. Let m = -0.1 + 0.2. Which is the third smallest value? (a) m (b) l (c) -2 b Let t be 1 + -2 + 31 + (1 - 1). Let p be (t/9)/(2 - 453/90). Let a = -18/13 - p. What is the third smallest value in a, 5, -4? 5 Let a be (-16)/36*(-3 + (-5)/(-2)). What is the fifth biggest value in 1/8, 0, 2, a, 4? 0 Let j = -17035/2 - -68203/8. What is the second smallest value in j, -7, 2? 2 Let b(j) = 46*j - 1560. Let k be b(34). Let a be (-1)/72*(-6)/(-4). What is the third smallest value in -0.5, k, a? k Let d = -60.4 - -60. Let m = -6.2 - -6.5. Let t be (-7)/(-4) + 1/(-4). Which is the third biggest value? (a) m (b) d (c) t b Let d = -2832 - -2832. What is the third smallest value in d, -0.3, 9.2? 9.2 Let i = -0.618 + 1.004. Let g = 4.614 + i. Which is the fourth biggest value? (a) 0.1 (b) g (c) -1 (d) -8/45 c Let f = 0.5 + -1. Let q = -44.847 - -45.047. Let l be 3/(-4) - (-205)/(-20). Which is the third smallest value? (a) 5 (b) l (c) q (d) f c Let t(a) = a**2 - 23*a + 27. Let r be t(22). What is the smallest value in -12/11, 1/2, r, 27? -12/11 Let l = -4362 - -4377. Which is the second biggest value? (a) 2/7 (b) -0.8 (c) l a Let w be 9/(-14) + 9/6. Suppose -5*a + 0*a - 3*s + 48 = 0, 0 = -3*a - 5*s + 32. Let g be (2 - 0)*a/(-42). What is the third smallest value in w, g, -2/7, 1? w Let k = -12788 + 12787.9. Which is the second biggest value? (a) k (b) -256 (c) -2/3 (d) -0.03 a Let z(w) = -6*w**3 + 2*w**2 + w - 9. Let h be z(-3). Let n = -166 + h. Which is the third biggest value? (a) -3/4 (b) 2/13 (c) n (d) 0.5 b Suppose 2 = 4*o - 10. Let h be (-530)/(-742) + (-6)/14. What is the biggest value in o, 2, h? o Let v = 2.856 - -0.144. Let h be 2/6*666/8. Let l = 28 - h. What is the second smallest value in -0.4, l, v? l Let d(j) = -j**2 + j + 25. Let n be d(5). Suppose 5*g = -3*i, 3*i + n*g = -2*i. Which is the smallest value? (a) i (b) 3 (c) -4 c Let h = 19 - 1. Let w = 1.67 + -1.27. Let i = -1.93 - -1.83. Which is the third biggest value? (a) i (b) w (c) h a Let k = 9763.4 - 9763. Which is the second smallest value? (a) 1/10 (b) k (c) 15 b Let b = 5821 + -5817.9. What is the smallest value in 4, b, -13? -13 Let w = 243/10 - 367/15. What is the smallest value in -1, 1/2, w, -28? -28 Let o = -17.33 + 30.33. Which is the third biggest value? (a) -5 (b) 4 (c) -3/2 (d) -0.04 (e) o d Let y = -15 - -14. Let l be (-3 - (-891)/231)/((-18)/28). Which is the smallest value? (a) y (b) l (c) 5 (d) 7 b Let j = -334.27 + 376.27. Which is the third biggest value? (a) 1/8 (b) j (c) -3 c Let u = -0.3163 - -1416.3163. Let m = -1460.15 + u. Let z = 44 + m. What is the second smallest value in -1, 0, z? z Let x = 31 + -53. Let a be (-8)/(-12) + 15/(-18)*x. Suppose -3*v = -4*s + 20, 3*s + 4 = -v + a. What is the third smallest value in -4, 5, v? 5 Let q = -3.6 + 54. Let m = q + -50. Let k be 85/130 + (-4)/26. What is the second smallest value in k, -2/7, m? m Let v be (-69)/115 + 698/5 + -1. Suppose -27 = 3*p - v. Let w = p + -32. Which is the third biggest value? (a) -0.4 (b) w (c) -3/4 c Suppose c = -q - 2, 2*q + 4*c + 54 = 46. What is the third smallest value in -2/13, 11/14, q? 11/14 Let m = 5011 + -195440/39. Let s = 8/13 + m. Let p = 5 - 5.1. What is the third biggest value in s, p, 0.3? p Let m = -146 + 242. Let w = 126 - m. Which is the biggest value? (a) -4 (b) 2 (c) w c Let k = 520 - 520. Let s = -20 - -12. Let i = s - -7.9. What is the second smallest value in 3, k, 4/3, i? k Let k(o) = o**3 - 8*o**2 - o + 6. Let z be k(8). Let w = -15.67 - -15.87. What is the fourth smallest value in 2, w, z, 5? 5 Suppose 1 = -2*o - 1. Let q = 1622 + -1619. What is the second smallest value in -5, q, o? o Let l = 2055.4 - 2324. Let u = -269 - l. What is the third smallest value in u, -2, 12, 1? 1 Let n = -2.53 - -1.9. Let p = -0.27 + n. Let h = -599.3 + 599. Which is the fourth biggest value? (a) -2 (b) h (c) p (d) -2/7 a Let b = 3 + -3. Let x = 12 + -10. Let s = 503 + -498. What is the fourth smallest value in x, 1, b, s? s Let z = 106 - 119.8. Let g = z - 49.2. Let s = 63.3 + g. What is the smallest value in -1, s, 10, 0.4? -1 Let s be ((-30)/(-72))/(300/135). Let n be (-5)/(-3) + 2*-1. Which is the second biggest value? (a) s (b) -1/5 (c) n b Let i be (-3)/(2/12 - (-29)/(-66)). Let r = 5 - i. Let l be -1 + 51/72 - 1/r. Which is the third smallest value? (a) -5 (b) -1/6 (c) l c Let w = 9582 + -9585. What is the second biggest value in 4, 3, w, -0.7? 3 Suppose 10*k = 2*k + 40. Let u = 3.8 + -0.8. Let p = -241 + 243. What is the second smallest value in k, p, u, 0.05? p Suppose 478 = 89*q - 17*q + 46. What is the second biggest value in 23.8, -0.4, q? q Let j = 24/125 + -322/375. Let h = -4.8 - -2.9. Which is the biggest value? (a) 0 (b) j (c) h a Let j be 20169/(-18)*8/25014. Let t = j - 2/379. What is the second smallest value in 0.4, -0.3, t? -0.3 Suppose 138 = 37*i - 39*i. Let r be 2/(-27)*i/(-23). Which is the third smallest value? (a) r (b) 0 (c) -0.01 b Let k = 4.87 + 0.13. Let v = -7180 - -28719/4. Which is the second smallest value? (a) v (b) k (c) -2 (d) 0.06 a Let f = 205.8 + -268. Let d = f - -64. Let o = -0.2 - d. Which is the second biggest value? (a) -0.15 (b) -2/11 (c) o b Let y = 19053 - 76211/4. What is the biggest value in 3, -0.0635, y? 3 Let g = 325 + -356.5. Let p = -24.5 - g. What is the second smallest value in p, -3/7, -1? -3/7 Let q be (-7)/(-9) - (1 + 0). Let m = 202006 - 202010. Which is the fourth biggest value? (a) m (b) -0.26 (c) -0.4 (d) q a Let q = -0.104137 - -0.404137. Let y = -5 + 3. What is the biggest value in q, 1/2, y? 1/2 Let y = -13650.2 + 13650. Which is the fifth biggest value? (a) -2 (b) y (c) 0.05 (d) 0.6 (e) 2 a Let m = 6190 + -6187. Suppose 5*v = -3*v - 40. Let i = -8 - -13. What is the second biggest value in i, v, m, -0.4? m Let n = -1/2950 + 5907/20650. Let d = 0.163 + -0.663. Let p = 2 + -2.2. Which is the second biggest value? (a) p (b) d (c) n a Let f be ((-1)/(14/4))/(4/(6 + 2)). What is the third smallest value in 2.15, -3/4, f, -5, -3/8? f Suppose 0 = 3299*x - 3264*x + 175. Which is the biggest value? (a) 3 (b) x (c) 37 (d) -7/5 (e) 0.4 c Suppose -56 = 5*p + 4. Let v be p/18 + 4/9. Let x = 4144 + -4143.6. What is the smallest value in 5, v, 3, x? v Let y = -7.94 + 8. Let q be (-8)/76 + (-2296)/(-7011). Let p = 36/5 - 34/5. What is the smallest value in p, y, q? y Let v = 3678 - 3570. Suppose 4*c = 4*a + 8, a = 4*c - 2*c + 1. What is the smallest value in 4/7, v, c? c Let h = 2.42 - 38.28. Let q = -0.86 - h. Let k = 40 - q. Which is the third smallest value? (a) k (b) 3 (c) 0 a Let j = -22 - -23.46. Let x = j + 1.54. Which is the smallest value? (a) 0 (b) -2.1 (c) x b Let b be (464/(-29))/((-1)/(-22)). Let x be (2 + 0 + 4)*(-44)/b. Let c = 1 - 0. What is the third smallest value in x, -1, -3, c? x Suppose 5*k - 36*u + 40*u = -49, -k = -u - 10. Let p be (-1)/(-3) - 2/9. What is the second biggest value in p, 1/4, k? p Let m = -7284.6 - -7281.5. Let t(w) = w**2 - 5*w + 5. Let u be t(4). What is the smallest value in m, 5, u? m Let l = 1902 + -1901.9. What is the third biggest value in l, 20, 0.5, -1? l Let z(r) = -r**2 - 13*r - 20. Let g be z(-10). Suppose 2*v - 3*h = -5, v + 4*h + g = 13. Which is the fourth smallest value? (a) 3/2 (b) -0.1 (c) 0.1 (d) v a Let k = -195.12 + 194. Let s = k + -3.88. Let u be ((-2)/(-6))/(12/108). Which is the second smallest value? (a) -0.5 (b) -3 (c) u (d) s b Let m = 10498 + -10497.8. What is the biggest value in -0.12, 1.88, m? 1.88 Let s = 227.1 - 228. What is the third biggest value in s, -0.1,
{ "pile_set_name": "DM Mathematics" }
-2*w - 24. Let m = -4 - w. Is m composite? False Let c(g) = 2*g**2 - 5*g + 2. Let j = 16 + -10. Let z be c(j). Let t = 99 - z. Is t a prime number? False Let m = 3606 + -2315. Is m prime? True Let a = -444 - -1093. Is a prime? False Let v be (-4)/6*3*-1. Let c = 2 + v. Suppose 33 + c = n. Is n a composite number? False Let a be ((-3)/4)/((-1)/4). Suppose -3*s = -a - 0. Is 0 - 1 - -122*s a composite number? True Let w = -274 + 491. Is w composite? True Let w = -18 + 221. Is w a composite number? True Suppose -k = -1 - 2. Suppose -k*w - 2*w = 0. Suppose 21 = -w*i + 3*i. Is i a prime number? True Let q(f) be the second derivative of -7*f**5/20 - f**4/12 - f**3/6 + f**2 - 5*f. Is q(-3) a composite number? True Let u(o) = 10*o - 1. Suppose -5*m = -4 - 1. Is u(m) a prime number? False Suppose -5*w + 2*u + 338 + 151 = 0, w + 5*u = 87. Is w prime? True Let v be 4 - (-2)/4*0. Suppose -1 = -j, -4*w + 2*j - v*j + 198 = 0. Is w a composite number? True Suppose -3*k = 3*a + 15, k = 5*a - a. Let z(o) = -o**3 - 2*o**2 + 6*o + 3. Is z(k) prime? True Let y be (1 + 0)/(-1) - -7. Is (y/(-3))/(8/(-1628)) prime? False Let b be 10/65 + (-74)/(-26). Suppose 4*m - 8 = 0, 229 = 3*n - m - b*m. Is n composite? False Let z(l) = -l**3 - 2*l**2 - l. Let o be z(-2). Let f = 1 - o. Let w(u) = 32*u**2 + u. Is w(f) prime? True Let m(a) = -126*a - 5. Is m(-3) composite? False Suppose -i = -3*p + 138, 0*p + 234 = 5*p - 3*i. Let l be (4/(-6))/((-6)/p). Suppose -63 = -l*c + 2*c. Is c prime? False Suppose -5*n + 9 = -6. Suppose 2*v = n*m + 83, 3*v - 124 = 4*m + m. Suppose d = 4*g + 3*d - 94, -2*g + v = -3*d. Is g a composite number? False Suppose 4*o + 3*h + 3 = 0, 0*o + 3*o = 2*h + 2. Suppose -2*q - 5*m + 1 = o, -m - 46 = -2*q + 3*m. Is q a composite number? False Let k = 0 + 3. Is (5 - k) + (30 - 1) composite? False Let p = 0 - 1. Let i be 1/((p - 0) + 0). Is ((-3896)/(-16))/(i/(-2)) composite? False Suppose 6*t - 3*x = 3*t + 27, 2*x + 30 = 5*t. Suppose -t*y = -30 - 18. Suppose -l + 77 = y. Is l a prime number? False Let q be ((-3)/6)/(2/(-100)). Suppose 4*z + q = -z, -4*r + 265 = -z. Is r composite? True Is 77575/116 - (1 + 1)/(-8) a prime number? False Let t be (-3)/(-12) - 167/(-4). Let m = t - -121. Is m prime? True Let w(g) = -10*g + 6. Let m(x) = 2*x - 1. Let d(a) = -33*m(a) - 6*w(a). Is d(-6) prime? False Let g(k) = 4*k**2 + 8*k - 5. Let j be g(9). Let f = -270 + j. Is f a prime number? False Let w be (1/2)/((-1)/(-12)). Is -1 + (-88)/(w/(-3)) prime? True Let g be 84/22 - 6/(-33). Suppose 629 = 3*o - g. Is o a composite number? False Suppose 0 = 2*c + 2 - 12. Let q = 32 + c. Is q composite? False Let h be (-1)/4 + 601/4. Let k = -97 + h. Let f = k - 31. Is f prime? False Let s(x) = 22*x**2 - x - 2. Let n = -10 + 9. Is s(n) a composite number? True Let o(a) = -a**3 - 4*a**2 - 2*a + 1. Let q be o(-2). Let n(g) = -4*g - 3. Let d(k) = 9*k + 6. Let w(r) = -4*d(r) - 7*n(r). Is w(q) a prime number? False Suppose 1369 = 5*h - 3*r + 2*r, 3*r - 551 = -2*h. Is h composite? True Let v = -3 - -6. Suppose -2*a + 33 = -3*a + 5*f, -2*f - 48 = v*a. Let o = a + 37. Is o prime? True Let i = 48 - -44. Suppose 4*u + 0*u = i. Is u composite? False Suppose 5*w - 175 - 432 = -3*u, 0 = -2*u - w + 393. Suppose 0 = -4*f + 11 + 1. Suppose -f*s - o = -116, -8*s - 2*o + u = -3*s. Is s composite? True Let z = 2204 + -1523. Let t = z + -394. Is t composite? True Let v(l) = 66*l - 1. Let p be v(1). Suppose 2*u - 60 = -0*u. Let k = p - u. Is k a prime number? False Let c(l) = -2*l - 6. Suppose 0 = -5*u + u - 16. Let w be c(u). Is ((-134)/(-4))/1*w prime? True Suppose 9 = -3*u + 24. Let p(h) = -h + 7. Let b be p(u). Suppose 0 = 3*f + 15, 0 = b*m - 4*m - f + 61. Is m composite? True Suppose 4*m = -d + 225, 11 = 4*d - 9. Is m prime? False Suppose 0 = 4*o - 0*o - 184. Is o prime? False Suppose 0 = -i + 5*x - 12 + 78, 3*i = 2*x + 250. Let r be i/(3/(4 - 1)). Suppose -3*g + 52 = 2*v - v, 2*v + r = 4*g. Is g a prime number? True Suppose 2*h - 3*q = -7, -3*h - 3*q - 2*q = -18. Let j(g) = 28*g**3 + 4*g**2 - 3. Let f(c) = c**3 - c**2 + 1. Let v(p) = h*j(p) + 2*f(p). Is v(1) a prime number? True Let n be (-15)/((-3)/(2 - -1)). Suppose -v - 12 = 3*v, -2*v - n = 3*q. Is (37/q)/((-1)/3) composite? False Suppose -5*b + 28 = -3*n, 2*b + 5*n = -1 + 6. Suppose 2*w = b*w - 57. Is w composite? False Let i(k) = -k - 2. Let r be i(-6). Let h be 196/35*(41 + -1). Suppose r*x = 156 + h. Is x a prime number? False Let m(v) = 3 - 4 + 52*v - 212*v. Is m(-1) composite? True Suppose -3 = -o, -2*f + 3*f - o - 1052 = 0. Is f a composite number? True Suppose v - o - 90 + 14 = 0, 0 = -5*v + 4*o + 381. Is v a prime number? False Let h be 1/(((-2)/(-66))/(-1)). Let i be ((-1)/1)/((-1)/3). Is h/(-9)*2*i prime? False Let j(r) = -2*r**3 - r**2 + 4*r - 7. Is j(-4) a composite number? False Suppose -7*q + 3*q = 24. Let l be (-3)/q + 2/(-4). Suppose s - 33 = -l*s. Is s a prime number? False Let g(m) = 9*m**3 - 3*m**2 + m - 11. Is g(4) a composite number? False Let r = 84 - -50. Is r a prime number? False Let w(t) = 9*t + 5. Suppose -p - 2 + 5 = 0. Let q(x) = 10*x + 5. Let h(s) = p*w(s) - 2*q(s). Is h(6) a prime number? True Let n be 9/2*(-4)/(-6). Let w be 56/10 + 12/30. Suppose -n*k = -6 - w. Is k a prime number? False Let f(c) = c**2 + 9*c + 1. Let n be f(-8). Let z = -4 - n. Let k = 130 - z. Is k composite? False Let s be 3/(-6)*(-1 + 1). Suppose -2*z + 128 = 2*z. Suppose 5*v - 5 = s, 3*t + 4*v - z = t. Is t composite? True Suppose -6*c + 10060 = -17438. Is c a prime number? True Let s be (-2)/(-1) + (-15)/(-5). Suppose -w - 4*x + 90 = -s*x, -3*x + 458 = 5*w. Is w composite? True Suppose -w - 1 = 0, -10 + 38 = -5*c - 3*w. Let s(j) = -5 + 0*j**2 + j**2 - 3*j + 2*j + 0*j. Is s(c) prime? False Is (3/9)/(3/477) composite? False Let t be (-3 - 0)*(-2 + 0). Suppose -1 = -5*w - t. Is w*(-1 + 2 + -54) a composite number? False Suppose 0 = 4*l - 3*k - 1396 - 627, -3*k - 1518 = -3*l. Is l a composite number? True Let n(d) = -d**3 + 7*d**2 + 2*d - 3. Is n(4) a prime number? True Let i be (-4)/14 - 148/(-28). Suppose 146 = 2*g - m - 0*m, -i*g = -m - 362. Let s = g - 35. Is s a prime number? True Suppose 4*o - 435 = 305. Is o composite? True Let a = -4 - -4. Suppose 2*i + 469 = 3*b - a*i, -2*i + 2 = 0. Is b prime? True Let s(n) = 21*n + 1. Let g(r) = -r - 3. Let a be g(0). Let p = -2 - a. Is s(p) composite? True Let d = -109 - -250. Suppose d = 2*c + c. Is c a prime number? True Suppose -i - 253 = -662. Is i prime? True Suppose 0 = 4*q - t - 3684, 4*q + 4*t - 3684 = 2*t. Is q a composite number? True Let l = 172 - 81. Is l a composite number? True Suppose 127 - 38 = a. Is a a prime number? True Is (-62885)/(-45) + 16/(-36) prime? False Let c(l) = -2*l**3 - 20*l**2 - 9*l + 23. Let t(u) = -u**3 - 10*u**2 - 4*u + 12. Let y(v) = -2*c(v) + 5*t(v). Is y(-11) a composite number? False Let z(u) = 204*u**2 - 1. Let q(o) = -o**3 + 8*o**2 - 7*o - 1. Let c be q(7). Is z(c) composite? True Let y(g) = 2*g**2 - 4*g - 11. Let x be y(5). Suppose -m + 3*b = -34, -3*m - 2*b = -39 - x. Is m a composite number? True Is (-4)/(-12) + 339/9 a prime number? False Let l(i) = 9*i**2 + 2 - i + 2 - 3. Is l(2) a composite number? True Suppose 0 = 3*p - 6 + 3. Is (-132)/(-36)*p*6 a composite number? True Let a be ((-103)/(-3))/(5/15). Let y = 230 - a. Is y a composite number? False Let d(z) = 7*z**2 - 5*z - 5. Let v(t) = -8*t**2 + 4*t + 5. Let c(i) = 4*d(i) + 3*v(i). Is c(-6) prime? False Let t(h) = -4*h**2 + 3*h + 19. Let c(l) = 3*l**2 - 2*l - 20. Let r(p) = -3*c(p) - 2*t(p). Let q = -4 - -4. Is r(q) prime? False Suppose 0 = 2*h + 4 - 10. Suppose -2*t - h*t = 0. Suppose -4*q = -5*g + 91, -2*g - 3*q + t = -18. Is g a prime number? False Suppose 38*u - 16136 = 30*u. Is u a prime number? True Let j(v) = 4*v**3 - 5*v**2 + 6*v - 3. Let d(p) = -p**3 - p + 1. Let l(w) = 3*d(w) + j(w). Let y be l(2). Let i(n) = -n + 1. Is i(y) prime? True Let p = -14 - -24. Let a(w) = -w**2 + 2*w + 6. Let v be a(5). Is p/(-45) - 317/v a composite number? True Suppose 0*r = -3*i + 2*r + 24, -27 = -4*i + r. Is i a prime number? False Suppose -5*q = -3*b - 7691, 5*b - 4615 = -3*q + 7*b. Is q a composite number? True Let q = -702 - -1053. Suppose -706 = -3*k - 4*x + q, -4*k = 3*x - 1400. Is k composite? Fals
{ "pile_set_name": "DM Mathematics" }
-504) + 2728/(-21)). Solve 7*b = -148 + k for b. -3 Let c(z) = z**3 + 6*z**2 - 8*z - 7. Let h be c(-7). Suppose -4*f + 5*f - 3 = h. Suppose -4 = d - 8. Solve f = -d*t - 9 for t. -3 Suppose -15 = -5*k, -3*k + 20 = 4*o + k. Suppose 3*q = q - 4*z, 12 = 3*q + o*z. Solve q = -2*s + 4 for s. -1 Let q(k) = 7*k - 35. Let l be q(4). Let h be (44/28 - 2)*l. Solve h*o = 2*o - 2 for o. -2 Let f(w) = 5*w + 28. Let c be f(-8). Let y = c + 17. Solve -y*d - 25 + 0 = 0 for d. -5 Let w be 868/(-21)*(-6)/4. Suppose l = 5*o + 40, -2*l + 3*o + w = -o. Solve i + 4*i = -l for i. -5 Let u(n) = -n**2 + 6*n. Let y be u(8). Let x be (y/28)/((-4)/14). Solve 12 = 5*v - x*v for v. 4 Let b(h) = 3*h**2 - h - 1. Let o be b(2). Let d be 16/o - (-6)/27. Solve 5 = 3*k + d*k for k. 1 Let b(a) be the third derivative of a**4/8 + 4*a**3/3 - 4*a**2. Let y be b(-2). Solve -y*d = d for d. 0 Let p = 150 - 118. Solve 33*c - p*c + 5 = 0 for c. -5 Let l = -1226 + 1226. Solve 2*u = -l*u - 8 for u. -4 Let h(j) = j**2 - j - 4. Let w be h(3). Let t(o) = 12*o - 1. Let q be t(-1). Let g(u) = u**3 + 11*u**2 - 24*u + 27. Let r be g(q). Solve -3 = -w*y - r for y. 1 Suppose -3 = -2*t + 5. Suppose -3*b + 24 = -5*w + 14, -5*b - 2*w = -27. Solve -x + t = -b*x for x. -1 Suppose 8*x - 3*x = 10. Let g be 6/15 - x/5. Let h = 9 + g. Solve -4*v = -v + h for v. -3 Let a be (-9)/63 - 170/(-14). Suppose -5*b = -d + 5*d - 12, -b = 4*d - a. Solve 0 = p - 6 + d for p. 3 Let i be (9/2)/(5/30). Let q = i + -22. Solve 4*a = q*a for a. 0 Let b(i) = i**2 + 8*i + 20. Let o be b(-5). Let l = -1 + o. Let k be (-1)/(-2) + 49/2. Solve 0 = -j - l*j - k for j. -5 Let a = 55 - 42. Suppose 3*k - a = -1, -14 = 3*l - 5*k. Let s = 2 - 1. Solve -3*j + s = -l for j. 1 Let o(h) be the third derivative of -h**6/120 + 17*h**5/60 + 3*h**4/4 + h**3/2 - 34*h**2. Let x be o(18). Let m = -9 + 15. Solve m - x = -3*s for s. -1 Let l(p) = -p**2 + 11*p + 12. Suppose 28 = 4*b + 5*m, 9*m + 20 = 4*m. Let x be l(b). Suppose -3*a + 10 - 1 = x. Solve a*k = -5 - 10 for k. -5 Suppose -3*c + 5 + 1 = 0. Let v(g) = -g**3 + 3*g**2 + 5*g - 1. Let x be v(4). Solve x*t - c = t for t. 1 Let y be (20/(-5) - -2) + 5. Suppose 4*o = y*m - 15, -2*m + 14 = 4. Solve o = -2*b + 4*b for b. 0 Let j(y) = y**3 + 6*y**2 + 2*y - 12. Let a be j(-3). Solve -a*s = -5*s - 8 for s. 2 Let s = 50 - 34. Let g = s + -13. Let y = 7 - g. Solve -y*u + u = 9 for u. -3 Let m(c) = 8*c**2 - 10*c - 28. Let b be m(-2). Solve -11*d = d - b for d. 2 Let x be (2 - (2 - 9))*1. Let v(l) = -l**3 - 39*l**2 + 37*l - 117. Let j be v(-40). Solve -x = -3*h - j for h. 2 Let v = 10 - 8. Suppose 0 = -v*n + 8, 3*n = 3*q - n + 16. Suppose -5*o + 4 + 11 = q. Solve -20 = -o*y - y for y. 5 Let h be ((-1)/(-5)*0)/(0 - 1). Solve 0*o + 14*o - 28 = h for o. 2 Suppose 0 = 5*z - 22 - 13. Suppose 2*c + 3*h = z, 4*c + c + 5*h - 20 = 0. Let j = 44 - 36. Solve -v + c*v + j = 0 for v. -2 Let d(b) = 2*b + 23. Let q be d(-10). Let z be (4/4 - q)*(-2 - 0). Let m = 7 + -4. Solve -5*x = -m*x - z for x. 2 Suppose -14*r + 12*r = 26. Let c = r + 15. Solve -2*n + 2 = -c for n. 2 Let r(n) = -2*n**3 - 11*n**2 - 5*n + 5. Let v be r(-5). Suppose -t - 2*h + v = 3, -5*h = -3*t + 6. Solve -3*c + c - t = 0 for c. -1 Suppose -27 = -2*r + 59*m - 60*m, 38 = 3*r + m. Solve -1 = 4*l + r for l. -3 Let u = -515 + 519. Solve -16 - 4 = -u*d for d. 5 Suppose -3*u = -4*r - 7, 9 = 2*u - 2*r + 1. Suppose 0 = -5*m + 3*h + 21, 5*m - 4*h + 60 = 83. Solve m*v + u = -0*v for v. -3 Let d(t) = t**2 - 7*t - 25. Let n be d(10). Suppose 0 = 4*g - 2*j - 2, -6*g + j = -2*g - n. Solve g*f + f - 3 = 0 for f. 1 Let x be 8/(3*(-2)/(-9)). Suppose 2*r + 4*w = -0 + 12, r = -5*w + x. Let p(c) = c**2 + 2. Let z be p(2). Solve 2*f + z = r for f. -2 Let n(o) = -o**2 + 16*o - 13. Let v be n(15). Solve -7*k - v*k = -18 for k. 2 Let d(y) = -y**2 + 7*y + 5. Let t be d(6). Solve -10*w + t*w - 5 = 0 for w. 5 Suppose p = -784 + 841. Solve 5*l + 42 - p = 0 for l. 3 Let o(h) = -18*h + 14. Let a be o(-8). Solve 5*b = -a + 133 for b. -5 Suppose 34 = -2*x + 2*v + 3*v, 0 = -2*x + v - 18. Let w(i) = -i**2 - 4*i - 9. Let q be w(x). Let j be (-1 + 3)/((-20)/q). Solve -18 + 3 = j*g for g. -5 Let c(s) = 6*s - 2. Let p be c(2). Suppose -i + p = i. Suppose -25 = 3*f + 5*x, i*f + 4*x + 0*x + 20 = 0. Solve f = d + d for d. 0 Suppose 0 = 3*c - 18 + 6. Suppose 3*r = 3*k + 7*r - 15, -5*k + 25 = 4*r. Suppose 0 = 2*g - k*n - 20, 0 = 4*g - 4*n - 0*n - 52. Solve -w - c*w - g = 0 for w. -3 Let g(r) = -r**2 + 9*r + 2. Suppose 31 = 3*q + 13. Let i(o) = o**2 - 5*o + 3. Let z be i(q). Let f be g(z). Solve 8 = -f*y - 2*y for y. -2 Let d = -76 - -82. Solve 2*w - d = 5*w for w. -2 Suppose -11*k - 14*k = -50. Let z be 12/(-90) + (-2)/(-15). Solve z = -7*s + k*s - 25 for s. -5 Suppose -4*w - 8 = 0, -4*w - 4 = j - 1. Suppose 0 = -2*t - 8, 0*p + 3*t = -p - j. Solve 4*h = -9 - p for h. -4 Let j(m) = m**3 - 7*m**2 - 2*m. Let i be j(7). Let h = i + 22. Solve -f + 3 = h for f. -5 Suppose 4*t = 12, 7*z - 3*z + 5*t - 23 = 0. Suppose 0 = -3*n - 4 + 10. Suppose -4*l + 3*o = -12, 0 = -3*l - n*l + o + 15. Solve -l*a + z = -2*a for a. 2 Let v = -1326 + 1331. Solve 9*h - 4*h - v = 0 for h. 1 Suppose 3*n - 2 = -3*t + 100, -4*t - 2*n + 136 = 0. Let g = t + -34. Solve 0 = -o - g*o - 2 for o. -2 Let b be 2/4 - (-7)/14. Let m = 26 - b. Let f = 28 - m. Solve f + 2 = -5*t for t. -1 Let s be -2 + 6 + -7 + -1. Let b be 0/(-1*(-8)/s). Solve b - 2 = 2*t for t. -1 Let u = 446 + -438. Let l be -2 + 2 + -9 + 1. Let m = l + u. Solve x + 3 + m = 0 for x. -3 Suppose -4*q + 4 = -16, -3*q = d - 31. Suppose 5*o - o = d. Solve o*s + 13 = -3 for s. -4 Suppose -5*a - 5*m + 38 = -12, 15 = 2*a + 3*m. Suppose q - 7*w = -3*w + 20, q + 3*w = -a. Let x = q + 0. Solve -2*s + 6 + 4 = x for s. 5 Let y be (-4)/1 - (11 + -9). Let n be 12 + 6*3/y. Suppose -3*z + n = -12. Solve -1 + z = -3*r for r. -2 Suppose 9*t - 44 + 17 = 0. Let m(z) = z - 1. Let s be m(t). Solve s*g + 3*g = -5 for g. -1 Suppose 4*z + i - 12 = 5*i, -2*i = 2*z + 6. Solve -3*p + z = -3 for p. 1 Suppose -31*z = -35*z + 16. Solve -5*r = -z*r - 3 for r. 3 Let q be 171/33 + 22/(-121). Solve q*g = -0*g + 10 for g. 2 Let q be -3 - (-6 - 6/(-3)). Let r be (1 - 0)/q - 1. Solve -u + r*u - 5 = 0 for u. -5 Suppose 0 = 6*o - 14*o + 40. Let p = 13 + 5. Suppose -o*c = c - p. Solve -c*z = -0*z for z. 0 Let k = 197 + -197. Solve k = 4*d + 3 + 9 for d. -3 Let l = 2236 - 2234. Solve l*y = 40 - 50 for y. -5 Suppose -4 = 3*t + 2*m, 0 = m - 5*m - 8. Let f = 8 - 2. Solve t = w - f*w for w. 0 Suppose -6*b = -32 - 22. Suppose -5*q = b - 29. Suppose 2*y - q = y. Solve 0 = -y*u - u - 15 for u. -3 Let j(d) = -2*d**2 - 5*d - 9. Let x be j(-5). Let l be 4/18 + -2*x/18. Solve 26 = l*m + 6 for m. 5 Suppose 8*s - 3*s + 60 = 0. Let o be 1/2 - (-66)/s. Let r(y) = y**2 + 4*y - 5. Let c be r(o). Solve c = -6*m + 2*m + 8 for m. 2 Let r be 1200/350*14/4. Solve 13*g - 5 = r*g for g. 5 Let k(u) = u + 10. Let v be k(-8). Suppose 0 = -3*p + v*c - 1, 4*p + 4*c - 35 = -p. Solve p*j - 8 - 1 = 0 for j. 3 Suppose r - 15 = -2*r. Suppose 3*k + 3*y - 3 = 0, y - 14 = -5*k + r*y. Solve -3 = -b + k*b for b. -3 Let i = 12 + 1. Let c = -1 + i. Suppose v + c = 4*w, 4*v + 3*w + 5 = 14. Solve -2*y + 4*y - 2 = v for y. 1 Suppose 0 = 8*t + t. Solve 6*p - 4*p + 8 = t for p. -4 Let g = 12 + -15. Let m be 1 + (-48)/(-4) - g. Let u = m + -14. Solve 9 + 1 = -u*d for d. -5 Suppose 21*x = -5*x + 78. Solve x = 4*b - 9 for b. 3 Let z = -137 + 139. Let g(i) = i**2. Let n be g(2). Suppose n*c - x - 1 = z*c, -1 = 3*c - 2*x. Solve -t = -c*t - 2 for t. -1 Let p be (-10)/(0 + -7 + 216/48). Solve p = 4*o + 8 for o. -1 Let j be 1 - 1*(0 - 4). Suppose i + 0 + 4 = 5*s, j*i + 4*s - 9 = 0. Solve 3*g - 7 = -i for g. 2 Let m(k) = -1 + 7 - 3*k**2 - 4*k + 5*k**2 - 2. Let x be m(2). Suppose -2*v - 13 = -19. Solve j + x = -v*j for j. -1 Suppose h + 2*h = 5*k, -3*k + 19 = 2*h. Suppose h*w - 16 = -2*x, 5*x - 19 = -5*w + 2*x. Solve 3*j + 8 - w = 0 for j. -2 Suppose 0 = -94*i + 25*i + 276. Solve 17 - 9 = -i*z for z. -2 Suppose -m = -2*m - 5*q + 35, 0 = -3*q + 12. Let h be (-1 - 0)/((-3)/m). Solve -4 = -h*f + 11 for f. 3 Let t = -2039 - -2119. Solve t - 10 = -14*v for v. -5 Suppose -7*x - 103 = -166. Solve 5*q - 8*q - x = 0 for q. -3 Let a = -2 + 4. Suppose -3*f = a*f - 50. Le
{ "pile_set_name": "DM Mathematics" }
t l = -64 + f. Sort 1, -15, l in ascending order. -15, 1, l Let h = -21.15 - -17. Let j = h + 0.15. Let n = -0.2 - -1.2. Put n, j, 4 in descending order. 4, n, j Suppose 61*u + 0*u - 186 = -64. Suppose 5*r - 5*b = 35, 3 + 1 = -2*b. Sort u, r, 1, 4 in ascending order. 1, u, 4, r Let m be -5 + 2/(-2 + 3). Let d = 3093 - 3092. Sort 5, m, d in increasing order. m, d, 5 Let o = 164 + -164.355. Let v = 0.045 - o. Suppose 5*i + 3*d + 22 + 3 = 0, -i + 5*d + 23 = 0. Sort i, 3, v. i, v, 3 Let g = -0.377 + -7.623. Put 0.5, 0.2, g, -5 in decreasing order. 0.5, 0.2, -5, g Let d be ((-6)/4)/(3/(-6)). Suppose 3*s - 2*a - a = 78, 82 = 3*s - a. Let l be (-4)/(16/s) - -4. Put l, d, 2 in increasing order. l, 2, d Let o(i) = -2*i**3 + 2*i**2 + 11*i - 19. Let l be o(2). Suppose 3*c - 6 = 0, -3*j = -8*j - 4*c + 33. Sort 4, j, l in decreasing order. j, 4, l Suppose 2*d + 27 - 11 = 5*b, 12 = -2*d + 3*b. Let w(o) = -o - 12. Let q be w(-12). Let v be q - (d + 3 + 1). Sort -2/3, v, -4/5 in increasing order. v, -4/5, -2/3 Let o be 9/(-5) + (-46)/(-23). Let x = -0.06 + 5.06. Put 0, -5, x, o in ascending order. -5, 0, o, x Suppose 13 = 2*y - 1. Let t(x) = 5*x - 4*x + y - 6*x + 3*x. Let j be t(4). Put -3, j, 4 in decreasing order. 4, j, -3 Suppose 37 - 1 = 9*m. Sort -10, 3, m in descending order. m, 3, -10 Suppose 5*w = -0*w - 2*a - 38, 2*a - 22 = 5*w. Let s(l) = -4*l - 24. Let p be s(w). Sort 3, p, 4, -2 in decreasing order. 4, 3, p, -2 Suppose -5*j = 225 - 80. Put j, 1/3, 0.5 in ascending order. j, 1/3, 0.5 Let i = -13 - -12.966. Let f = i + -0.366. Put 2, -0.5, -1/3, f in ascending order. -0.5, f, -1/3, 2 Let j = 1.78 - 8.88. Sort -4, 0.1, j in descending order. 0.1, -4, j Let n = -3 + 9. Let k = -2103 + 2108. Sort k, n, 2 in descending order. n, k, 2 Let x = 0.3 - 4.3. Let n = 11826 + -11831. Let w = 0 - -1. Put x, n, w in descending order. w, x, n Suppose -4*o - 21 = -5*d, 3*d = 2*o + 2*o + 11. Let q = 6 - 4. Suppose g - 4*m = -17, -3*g - 29*m + 13 = -25*m. Put d, q, g in increasing order. g, q, d Let o = -0.0561 - -0.1561. Sort -1/5, o, -35, -2/15. -35, -1/5, -2/15, o Let d = 5 - 6. Suppose s - 3*z + 7 = 0, -3*s - 33 = -z + 20. Let l = -26 - s. Put d, -5, l in descending order. d, -5, l Suppose z + 2*b = 0, -3*z = -b - 4*b - 22. Suppose -4 = -u + d, -d + 25 = z*u + 4*d. Let x = 12 + -17. Sort u, 7, x in decreasing order. 7, u, x Let h = 195 - 198. Let o = 34 - 19. Put h, -1, o in increasing order. h, -1, o Let n = 5.05 - 0.05. Let p = -2.3 - 0.7. Sort p, -3/5, n in descending order. n, -3/5, p Let p be (-5)/(-2) - (-1)/(-2). Suppose -p - 1 = 3*g. Sort g, -4, -0.3 in descending order. -0.3, g, -4 Let m = 26 - 29. Let w(t) = 2*t**2 - 28. Let o be w(-4). Sort -1, o, 1, m in descending order. o, 1, -1, m Suppose -14 = -5*p + u + u, -5*p - u + 8 = 0. Suppose 6*y = -p*c + 2*y + 2, 2*y = -2. Sort 4, -3, -5, c in decreasing order. 4, c, -3, -5 Let i = -62/15 + 24/5. Sort i, -1/9, 0.17 in ascending order. -1/9, 0.17, i Let l = -8.3 + 8. Let b be 34/(-40) - 4/20. Let p = -9/5 - b. Sort l, p, 0.3 in decreasing order. 0.3, l, p Let s = -381.9 - -411. Let x = -28 + s. Let c = x + -0.6. Put 0.3, c, 0 in descending order. c, 0.3, 0 Suppose 0*h - h + 2 = 0. Let v = 6 + -11. Let s be 27/v - (-26)/65. Put s, 5, h in ascending order. s, h, 5 Let u = -0.16 - -0.148. Let g = 2.088 - u. Let b = -2.11 + g. Sort b, -1/5, -1. -1, -1/5, b Let i be (-8)/6*-3 + 1. Let z(b) = 6*b**3 - b**2 - b + 1. Suppose -8 = 2*o + 2*t, -2*t + 2 = 4*o - 4*t. Let s be z(o). Put -4, s, i in ascending order. s, -4, i Suppose 4*k = 3*h - 6 + 10, k = -2. Let f(l) = l**3 + 4*l**2 - 4. Let z be f(-3). Put z, h, -2 in descending order. z, -2, h Let m = -7.2 + 7.3. Let i = -4.9 - m. Put i, 3, 1/6, -3 in increasing order. i, -3, 1/6, 3 Suppose -6 = 3*h - 0*h. Suppose 3*m - 74 - 34 = 0. Let g = m + -39. Sort 2, g, h in descending order. 2, h, g Let p = 0.7 + 0.3. Let d = 1 - p. Let o be 36/16 - (-738)/(-360). Sort o, 0.3, d. d, o, 0.3 Let u = -37 - -42. Let y = 5.05 - u. Put 0.2, y, 3 in descending order. 3, 0.2, y Let z = 1 - 1.5. Let i = 106 - 69. Let d = 33 - i. Sort 2/7, z, d in decreasing order. 2/7, z, d Let x(u) = -64*u + 115. Let j be x(2). Put -1, j, 3 in decreasing order. 3, -1, j Let d(h) = -22*h - 8. Let g be d(-1). Suppose -10*r + 36 = -g. Sort r, -5, 0.2 in increasing order. -5, 0.2, r Let r(p) = -p - 55. Let x be r(-59). Sort 8, -2, x in ascending order. -2, x, 8 Suppose 5*v - 67 = 3*z, -8*z + 9*z + 4 = -2*v. Sort -11, z, -4, 1. z, -11, -4, 1 Let k = -5 + 7. Let z = -7.94 - -11.93. Let b = z - -0.01. Sort 5, k, b in descending order. 5, b, k Let c = 1004.5 - 1004. Sort -0.3, 5, 0.4, c in descending order. 5, c, 0.4, -0.3 Let d = 0 - 0. Suppose d = -z + 7*z - 18. Sort -2, z, 2 in descending order. z, 2, -2 Let l = -373 - -373.07. Sort l, 4, 0.5, -0.1 in decreasing order. 4, 0.5, l, -0.1 Let l = 27.09 - 27.12. Sort 2, -0.5, l in ascending order. -0.5, l, 2 Let q = -9 + -26. Let v = 211/6 + q. Let i be 4/10*(-15)/(-3). Sort v, i, -3. -3, v, i Suppose 5*v + t + 167 = 0, -4*v - 3*t - 127 = -0*t. Let j = v - -33. Sort -3, 2, j in increasing order. -3, j, 2 Let y = -1149/14 + 165/2. Let j be 2/42*(-7)/(-2). Sort 5, j, y in ascending order. j, y, 5 Suppose 223 + 137 = -9*p. Sort 0, 4, p in descending order. 4, 0, p Suppose 14*v + 80 = 19*v. Suppose 5*h = 3*y - 0*y + v, 4*h + 3*y = 2. Put h, -4, 5 in decreasing order. 5, h, -4 Let j = 421.9 + -339. Let v = 83 - j. Put v, 2/3, -0.2, -6 in decreasing order. 2/3, v, -0.2, -6 Suppose -3*g - 5*g = -8. Let c be (-24)/9*(-9)/6. Put 0, c, g in increasing order. 0, g, c Let o = -156 + 154. Let x(y) = 5*y + 2. Let v(l) = -11*l - 4. Let q(b) = 6*v(b) + 13*x(b). Let t be q(o). Put t, -1, 0 in ascending order. -1, 0, t Let t be (-32)/(-6) + 3 + (-39)/9. Put 2, t, -1 in increasing order. -1, 2, t Let r(w) = 12*w + 136. Let m be r(-11). Sort 3, 0, 12, m. 0, 3, m, 12 Let d = 0.05 + -4.05. Let q = -3.99 - d. Suppose -4 = -a - 6. Sort -0.4, a, q in descending order. q, -0.4, a Let g(t) = 7*t + 3. Let u be g(-2). Let o = -6 - u. Let m be (1 - (-2)/(-1)) + 1. Sort 4, m, o. m, 4, o Let u(n) = 2*n + 26. Let z be u(-11). Sort z, 7, -4, 1 in increasing order. -4, 1, z, 7 Let x = 153/4 + -38. Let g = -4643/20 - -931/4. Sort g, x, -0.4, -1/7. -0.4, -1/7, x, g Let g be ((-36)/21 + (-10)/35)/7. Sort 0.1, 0.08, g, -0.4 in decreasing order. 0.1, 0.08, g, -0.4 Suppose 3*z - 4*t - 96 = 0, -3*t + 69 - 5 = 2*z. Let g = z - 29. Sort 2, g, 4 in descending order. 4, g, 2 Suppose -11*b - b = 36. Let q be 3*(((-134)/(-21))/(-2) - b). Sort -2, -4, 0, q in increasing order. -4, -2, q, 0 Let z = 0.02 + -4.02. Put 0.1, 15, 0.5, z in decreasing order. 15, 0.5, 0.1, z Let r(z) = 7*z**3 - z**2 + 2*z - 1. Let c(n) = n**2 - 20*n + 19. Let t be c(19). Let m be -1*(-2 + t - -1). Let j be r(m). Put -3/2, -0.2, j in ascending order. -3/2, -0.2, j Let m = -58 - -55. Sort -19, 3/2, m in increasing order. -19, m, 3/2 Let r = -37 - -87. Sort -1, 2/11, r. -1, 2/11, r Let c be -6 + 2 + (-903)/360. Let v = c + 51/8. Sort -0.06, v, 0.4. v, -0.06, 0.4 Let k = 0.25 + -0.22. Let a(m) = -m**3 - 23*m**2 + 24*m + 1. Let l be a(-24). Sort k, -3, l in descending order. l, k, -3 Suppose 5*r - 10 = 0, n = -2*r + 5*r - 11. Let m = -7 + 11. Put -3, n, m, 3 in decreasing order. m, 3, -3, n Let q = -3641 - -3641.4. Let g = 4 - 6. Put g, q, -1/4 in increasing order. g, -1/4, q Let f(g) = g**3 - 16*g**2 + 64*g - 3. Let t be f(7). Sort 3, t, -18, 1. -18, 1, 3, t Let b(p) be the first derivative of -3*p**2/2 + p + 1. Let i be b(1). Let c(l) = -l**2 + 2*l + 12. Let r be c(4). Sort i, 1, r. i, 1, r Let f = 0.08 - 5.08. Let r = -4612 + 4608. Sort f, r, 0.2, -3/2 in decreasing order. 0.2, -3/2, r, f Let c be (8/(-20))/(-2) + 2/(-10). Put 16, -5, 2, c in decreasing order. 16, 2, c, -5 Let u be 7/(28/8) - -1. Suppose -r + x = -2, r - 9 = 3*x + u. Let n = 0 + r. Put -2/17, 0.4, n in descending order. 0.4, -2/17, n Let n = 0.792 - 4.992. Sort 3/2, 3/4, n, 3 in decreasing order. 3, 3/2, 3/4, n Let g be 0 - 8/(-6)*6. Suppose -4*o = -11 - 9. Let a = g - o. Put 5, a, 4 in ascending order. a, 4, 5 Suppose 0*g = -g - 3. Let w(q) = -q**3 + 5*q**2 - 4. Let p be w(4). Let y be p/(-4) - (0 + -7). Sort g, 0, y. g, 0, y Let h be (-27 + -1)/(-2) + 2. Suppose
{ "pile_set_name": "DM Mathematics" }
utes before 1:31 AM? 5:54 PM How many minutes are there between 5:29 AM and 4:36 PM? 667 How many minutes are there between 5:41 AM and 11:55 AM? 374 What is 706 minutes before 11:42 PM? 11:56 AM How many minutes are there between 1:02 AM and 8:01 AM? 419 What is 616 minutes before 1:01 PM? 2:45 AM How many minutes are there between 2:27 AM and 4:17 AM? 110 What is 528 minutes after 6:57 AM? 3:45 PM How many minutes are there between 4:12 PM and 4:00 AM? 708 What is 149 minutes before 10:45 PM? 8:16 PM What is 240 minutes after 12:56 PM? 4:56 PM How many minutes are there between 8:28 AM and 7:33 PM? 665 What is 25 minutes after 7:20 AM? 7:45 AM What is 166 minutes after 9:59 PM? 12:45 AM What is 517 minutes before 11:28 PM? 2:51 PM What is 69 minutes after 3:52 PM? 5:01 PM What is 235 minutes before 1:55 PM? 10:00 AM What is 416 minutes before 8:44 PM? 1:48 PM What is 616 minutes after 7:20 PM? 5:36 AM What is 270 minutes before 7:40 PM? 3:10 PM What is 676 minutes before 12:24 AM? 1:08 PM What is 354 minutes after 6:36 AM? 12:30 PM What is 428 minutes before 10:31 AM? 3:23 AM What is 458 minutes after 10:33 PM? 6:11 AM What is 493 minutes after 3:11 AM? 11:24 AM How many minutes are there between 7:06 PM and 4:25 AM? 559 How many minutes are there between 10:46 AM and 3:37 PM? 291 What is 181 minutes before 2:06 AM? 11:05 PM What is 170 minutes before 12:35 PM? 9:45 AM How many minutes are there between 3:58 PM and 9:26 PM? 328 What is 467 minutes after 6:56 PM? 2:43 AM What is 661 minutes before 4:50 AM? 5:49 PM How many minutes are there between 9:02 AM and 1:55 PM? 293 What is 181 minutes after 6:59 PM? 10:00 PM How many minutes are there between 2:29 AM and 7:25 AM? 296 How many minutes are there between 4:09 PM and 2:39 AM? 630 How many minutes are there between 4:49 PM and 10:55 PM? 366 What is 707 minutes after 3:40 AM? 3:27 PM How many minutes are there between 7:10 AM and 6:58 PM? 708 What is 582 minutes after 7:02 AM? 4:44 PM What is 20 minutes after 8:08 AM? 8:28 AM How many minutes are there between 2:33 AM and 2:10 PM? 697 What is 185 minutes before 8:40 AM? 5:35 AM How many minutes are there between 9:14 AM and 9:26 AM? 12 What is 96 minutes after 10:08 PM? 11:44 PM How many minutes are there between 5:16 PM and 10:25 PM? 309 How many minutes are there between 5:24 PM and 7:11 PM? 107 What is 152 minutes before 4:32 PM? 2:00 PM What is 217 minutes after 5:18 PM? 8:55 PM How many minutes are there between 3:24 PM and 4:15 PM? 51 How many minutes are there between 9:13 AM and 5:59 PM? 526 How many minutes are there between 2:27 AM and 9:36 AM? 429 What is 354 minutes before 6:58 PM? 1:04 PM What is 115 minutes before 2:09 PM? 12:14 PM What is 102 minutes after 2:07 PM? 3:49 PM What is 344 minutes before 1:30 PM? 7:46 AM What is 491 minutes after 4:17 AM? 12:28 PM What is 467 minutes before 5:48 AM? 10:01 PM How many minutes are there between 1:10 PM and 12:49 AM? 699 What is 148 minutes after 2:14 AM? 4:42 AM How many minutes are there between 4:51 AM and 4:33 PM? 702 How many minutes are there between 4:34 AM and 12:56 PM? 502 What is 36 minutes after 1:54 PM? 2:30 PM How many minutes are there between 7:28 PM and 6:48 AM? 680 What is 557 minutes after 2:35 AM? 11:52 AM How many minutes are there between 1:05 AM and 1:46 AM? 41 What is 589 minutes after 5:41 PM? 3:30 AM How many minutes are there between 6:54 PM and 12:21 AM? 327 How many minutes are there between 3:56 AM and 3:25 PM? 689 What is 472 minutes after 5:10 AM? 1:02 PM What is 186 minutes before 1:53 PM? 10:47 AM What is 195 minutes after 1:42 AM? 4:57 AM How many minutes are there between 8:45 PM and 1:11 AM? 266 What is 576 minutes before 1:08 PM? 3:32 AM How many minutes are there between 4:25 PM and 6:47 PM? 142 What is 430 minutes after 3:59 AM? 11:09 AM How many minutes are there between 5:59 AM and 11:22 AM? 323 How many minutes are there between 1:45 PM and 4:30 PM? 165 How many minutes are there between 5:06 PM and 12:52 AM? 466 How many minutes are there between 11:04 AM and 6:40 PM? 456 How many minutes are there between 4:23 PM and 9:28 PM? 305 How many minutes are there between 8:32 PM and 7:18 AM? 646 How many minutes are there between 4:26 AM and 4:21 PM? 715 How many minutes are there between 5:04 PM and 1:32 AM? 508 What is 372 minutes before 5:22 PM? 11:10 AM What is 172 minutes after 1:59 AM? 4:51 AM What is 707 minutes before 9:16 PM? 9:29 AM What is 115 minutes before 11:48 PM? 9:53 PM How many minutes are there between 10:31 AM and 11:42 AM? 71 What is 322 minutes before 7:48 AM? 2:26 AM What is 468 minutes after 2:03 PM? 9:51 PM How many minutes are there between 9:08 PM and 9:27 PM? 19 What is 617 minutes after 7:13 PM? 5:30 AM What is 320 minutes after 3:23 PM? 8:43 PM How many minutes are there between 7:24 AM and 3:12 PM? 468 What is 145 minutes before 10:29 PM? 8:04 PM How many minutes are there between 11:35 PM and 5:07 AM? 332 What is 320 minutes before 12:07 PM? 6:47 AM How many minutes are there between 10:34 PM and 2:30 AM? 236 How many minutes are there between 8:59 AM and 4:32 PM? 453 How many minutes are there between 1:01 PM and 4:15 PM? 194 How many minutes are there between 11:39 AM and 3:48 PM? 249 How many minutes are there between 5:01 AM and 1:22 PM? 501 How many minutes are there between 8:54 PM and 10:16 PM? 82 How many minutes are there between 7:02 AM and 1:46 PM? 404 What is 520 minutes after 6:46 PM? 3:26 AM What is 132 minutes after 5:13 PM? 7:25 PM How many minutes are there between 12:56 AM and 12:13 PM? 677 How many minutes are there between 6:31 PM and 6:08 AM? 697 How many minutes are there between 7:36 AM and 5:17 PM? 581 How many minutes are there between 8:26 PM and 1:15 AM? 289 What is 251 minutes before 7:09 AM? 2:58 AM How many minutes are there between 10:47 PM and 11:07 PM? 20 What is 315 minutes after 12:19 PM? 5:34 PM How many minutes are there between 10:02 AM and 9:50 PM? 708 How many minutes are there between 5:01 AM and 5:42 AM? 41 What is 359 minutes before 2:03 PM? 8:04 AM How many minutes are there between 5:50 PM and 1:32 AM? 462 How many minutes are there between 11:25 PM and 7:41 AM? 496 How many minutes are there between 6:41 PM and 11:37 PM? 296 What is 60 minutes after 6:14 AM? 7:14 AM How many minutes are there between 12:46 AM and 12:15 PM? 689 How many minutes are there between 3:30 AM and 5:01 AM? 91 How many minutes are there between 6:02 PM and 1:39 AM? 457 What is 331 minutes before 6:50 AM? 1:19 AM How many minutes are there between 6:12 PM and 3:44 AM? 572 What is 685 minutes after 2:11 PM? 1:36 AM How many minutes are there between 10:34 AM and 3:32 PM? 298 How many minutes are there between 2:00 PM and 2:51 PM? 51 How many minutes are there between 11:06 AM and 1:06 PM? 120 What is 664 minutes after 6:16 PM? 5:20 AM What is 560 minutes after 11:00 PM? 8:20 AM What is 423 minutes before 6:12 PM? 11:09 AM What is 104 minutes before 3:38 AM? 1:54 AM How many minutes are there between 10:51 AM and 9:18 PM? 627 How many minutes are there between 10:15 AM and 3:36 PM? 321 How many minutes are there between 7:03 AM and 6:13 PM? 670 What is 587 minutes before 6:26 AM? 8:39 PM What is 617 minutes before 12:52 AM? 2:35 PM How many minutes are there between 11:03 PM and 4:16 AM? 313 How many minutes are there between 2:38 PM and 12:10 AM? 572 What is 627 minutes before 3:41 AM? 5:14 PM What is 360 minutes before 5:10 AM? 11:10 PM How many minutes are there between 10:58 AM and 10:26 PM? 688 What is 360 minutes before 1:50 AM? 7:50 PM How many minutes are there between 2:01 PM and 9:25 PM? 444 What is 488 minutes after 1:12 AM? 9:20 AM How many minutes are there between 4:48 AM and 7:41 AM? 173 How many minutes are there between 2:33 PM and 7:28 PM? 295 What is 246 minutes before 1:16 AM? 9:10 PM What is 292 minutes after 2:27 AM? 7:19 AM How many minutes are there between 4:31 AM and 9:35 AM? 304 What is 101 minutes after 10:42 PM? 12:23 AM How many minutes are there between 9:10 PM and 7:49 AM? 639 What is 107 minutes before 7:59 AM? 6:12 AM What is 302 minutes after 12:24 PM? 5:26 PM How many minutes are there between 9:36 PM and 8:57 AM? 681 How many minutes are there between 1:47 A
{ "pile_set_name": "DM Mathematics" }
a = s + -3. What is the tens digit of a? 1 Suppose 3*u = -0*o - 3*o + 396, u + 4*o - 132 = 0. Let k = u + -76. What is the units digit of k? 6 Let a be ((-16)/24)/((-1)/24). Let m = a + -9. What is the units digit of m? 7 Suppose 104 = 4*l - 4*x, -4*l + x = -114 + 1. Let c = l + -20. What is the units digit of c? 9 Let k(o) = 2*o**2 - 2*o + 1. Let r = 0 + -2. Let z = 3 + r. What is the units digit of k(z)? 1 Suppose -6*t = -8*t - 36. Let z = t + 25. What is the units digit of z? 7 What is the hundreds digit of 1195/6 + ((-16)/(-8))/(-12)? 1 Let b(w) = -w**3 - w**2 - w + 33. Let r be b(0). Suppose 0*z + 3*z = r. What is the units digit of z? 1 Let x be -1 + 2 + (0 - -2). Suppose -x*u + 8 = n, -u + 4*n = -2*u - 12. Suppose u*o = -0*o + 4*t + 12, -5*o + 2*t + 30 = 0. What is the units digit of o? 8 Let r = 86 + -52. What is the tens digit of r? 3 What is the tens digit of 44 + 9/(6/(-2))? 4 Let v = -9 - -16. Let n(m) = -m + 7. Let a be n(v). Suppose -4*p + 3*z + 32 = a, 4*z + 0 = 2*p - 6. What is the units digit of p? 1 What is the tens digit of -3 - (-5)/((-15)/(-87))? 2 Suppose 5*n - 31 = 3*m, 6*n = -4*m + n + 17. Let b be 45/(-18)*28/m. Let v = b + -24. What is the units digit of v? 1 Let t(n) = -7*n**2 - 11*n - 6. Let q(u) = 8*u**2 + 12*u + 6. Let s(g) = -6*q(g) - 7*t(g). What is the units digit of s(-4)? 2 Let z(v) = v**3 - 3*v**2 - 8*v + 7. What is the hundreds digit of z(7)? 1 Suppose 4*p - 4*t = 20, -2*p - p = 2*t - 20. Let n(r) = -r**3 + 7*r**2 - 4*r - 7. What is the units digit of n(p)? 5 Let i(a) = a**3 + 6*a**2 + 6*a + 3. Let k be i(-6). Let q = -18 - k. Let r = -11 + q. What is the units digit of r? 4 Suppose -2*r = 2*o - 54, 4*r - 19 = -o + 5*r. What is the units digit of o? 3 Let x(i) = 4*i - 3*i + 10 - 7 + 2*i. What is the units digit of x(7)? 4 Let j(h) = h - 1. Let r be j(12). Let i(d) = -d**3 + 12*d**2 - 10*d - 5. What is the units digit of i(r)? 6 Let b be 3/(-12) + (-249)/(-4). Let h = 88 - b. Suppose 0*v = -2*v + h. What is the tens digit of v? 1 Let l be (-5)/((-2 - 0) + 1). Suppose -4*d + 0*u = u - 5, l*d - 22 = 4*u. Suppose 2*r - 5 - 15 = 3*y, -10 = -r - d*y. What is the tens digit of r? 1 Let x(b) be the second derivative of b**4/4 + 5*b**3/6 + 2*b**2 + b. What is the tens digit of x(-3)? 1 Let c be (-7)/14*-1*8. Suppose 22 = c*s + 58. Let x = s + 14. What is the units digit of x? 5 Suppose j - 7*j + 528 = 0. What is the tens digit of j? 8 Suppose -1 = -3*s + 2*s. Let u(g) = 7*g. What is the units digit of u(s)? 7 Suppose 0 = -9*k + 4*k + 55. Suppose 0 = -k*z + 10*z + 5. What is the units digit of z? 5 Let g = -16 + 93. What is the units digit of g? 7 Suppose 4*o + o = 215. What is the tens digit of o? 4 Let m = 18 + 64. What is the tens digit of m? 8 Let w = -41 - -140. What is the tens digit of w? 9 Suppose 0 = 4*n - 1 - 3. Let v be (n/3)/(2/150). Suppose -6*u + u + v = 0. What is the units digit of u? 5 Let c = -10 - -13. Suppose 4*z - 5*z = 3, 3*f - c*z - 57 = 0. What is the units digit of f? 6 Let k(l) = -10*l + 4. What is the units digit of k(-6)? 4 Let i = 6 + -14. Let c = i - -16. What is the units digit of c? 8 Let i = 145 + -96. Suppose -1 + 13 = -4*b, i = 4*h - 3*b. What is the units digit of h? 0 Let v(s) = s + 12. Let h be v(-7). Suppose -h*w + 182 - 17 = 0. What is the tens digit of w? 3 Let l(u) be the second derivative of -u**3/6 - 2*u**2 - u. Let o(y) = y**3 + 8*y**2 + 9*y + 7. Let a be o(-7). What is the units digit of l(a)? 3 Suppose 3*b + p - 232 - 330 = 0, 380 = 2*b - 2*p. What is the hundreds digit of b? 1 Suppose h + 0*h + 3*j - 102 = 0, -h + 2*j + 97 = 0. What is the tens digit of h? 9 Let b = 34 + -9. What is the tens digit of b? 2 Suppose g + 3*l = -2, 5*g - 4 = 3*l + 22. Suppose g*r - 12 = -0*r. Suppose 3*s = -2*x - x + 39, -r*x + 15 = 0. What is the units digit of s? 8 What is the tens digit of 1/(4/48)*(25 + -1)? 8 Let y(x) = -19*x + 3. What is the units digit of y(-3)? 0 Let g be (2 + -3 - -5) + 0. Suppose -2*x - 6*n + 2*n - g = 0, -2 = x + 3*n. What is the units digit of x/(-4)*14*1? 7 Let u be (8 - 7)*(3 + 1). Suppose -n + 2*y - 41 = -6*n, -u*y + 37 = 5*n. What is the units digit of n? 9 Let i(p) = 2 - 6*p + 0 - p**2 + 0*p**2 - 6. Let t be ((-2)/(-3))/(3/(-18)). What is the units digit of i(t)? 4 Let k(f) be the first derivative of 2*f**3/3 - 2*f**2 + 3*f + 1. Let z be k(3). Let i = 1 + z. What is the tens digit of i? 1 Let p = -40 + 68. What is the tens digit of p? 2 Suppose 2 + 2 = -2*l. What is the tens digit of ((-21)/2)/(1/l)? 2 Suppose -4*z + q + 23 = -2*q, 2*q = -4*z + 38. Let p = -4 + z. What is the units digit of p? 4 Let k(g) = g**2 + 8*g - 7. Let j be k(-9). Suppose -30 = -j*a - 4*r, -3*r = -a + r + 3. What is the tens digit of a? 1 What is the units digit of (-9 + 1)/(8/(-4))? 4 Let h = -228 - -414. What is the tens digit of h? 8 Let j(b) = -2*b**2 - 1. Let t be j(2). Let a be 1876/18 - (-2)/(-9). What is the units digit of (-2)/t + a/18? 6 Let g = 21 + -37. What is the tens digit of (g/8)/((-2)/48)? 4 Let n = 3 - 3. Suppose 11 = v - n*v. Suppose v = 3*y - 16. What is the units digit of y? 9 Suppose k + h - 8 = -0*k, 0 = 5*k + h - 48. Suppose -5*x + 75 = -2*u, k = -3*u + u. What is the units digit of x? 3 Let a = 16 - 9. Suppose -a*j = -4*j - 60. What is the tens digit of j? 2 Suppose 0 = -3*t + 4*n + 11, -22 - 1 = -3*t + n. What is the units digit of t? 9 Let l be (-1)/(-5) + (-72)/(-40). What is the units digit of l*2 + 0 + 2? 6 Suppose -4*z + 0*f + 628 = 4*f, -788 = -5*z - 2*f. What is the hundreds digit of z? 1 Suppose -5*w + 2*w + 15 = 0. Suppose w*f + 10 = -30. Let g = -3 - f. What is the units digit of g? 5 Let f(i) = -i**2 + 10*i - 3. Let z = -31 - -18. Let b = z - -21. What is the tens digit of f(b)? 1 Let p = -1 - -4. Let u(j) = 9*j - 3. What is the units digit of u(p)? 4 Let g = 39 + -13. What is the units digit of g? 6 Suppose 2*f - 6*f - 36 = 0. Let g(u) = u**2 + 6*u - 13. What is the units digit of g(f)? 4 Let i(m) = m**3 + m**2 - 2*m + 1. Let x be i(1). What is the units digit of x*(8 + 4/2)? 0 Let d be -2 - (-4 - (-3)/(-3)). Let n = -6 - -10. Suppose -4*y + 0 + 3 = -t, -y - d = -n*t. What is the units digit of t? 1 Let q(o) = o**2 - 11*o - 9. What is the units digit of q(13)? 7 Let z be -12 + (-12)/(-3) + -2. Let h be (z/(-6) - 1)*6. Suppose 3 = a, -h*a - 2 = u - 22. What is the units digit of u? 8 Let j be 1 - -2*(-21)/(-6). Let k be 23/5 + j/20. What is the units digit of 3/(5 - 2)*k? 5 Suppose 2*x - 4*x = -4*g, g = -5*x. Let m be 3/(-6)*x - -6. What is the units digit of 2/6 + 34/m? 6 Let x(o) = -45*o**3 - o**2 - o - 1. Let c be x(-1). Suppose -d - 2 + 10 = -5*z, -5*d = -4*z + c. What is the units digit of (3/d - -1)*12? 9 Suppose 26 = -6*y + 164. What is the tens digit of y? 2 Let s(w) = 2*w - 3. Let l be s(4). Suppose -2 = -l*d + 8. Suppose 2 = d*u, -10 = 4*j + 3*u - 45. What is the units digit of j? 8 Suppose -2*m = -5*m + 324. What is the hundreds digit of m? 1 Suppose 5*b - 5*u - 95 - 50 = 0, 41 = b - 4*u. What is the tens digit of b? 2 Let y = 285 + -201. What is the units digit of y? 4 Let w = -2 + 3. Let g be w - (-2 + 0)*1. Suppose n + 5 = 0, -2*u - g*u + n = -20. What is the units digit of u? 3 Let t be (-6)/(-8) - (-3)/12. Suppose 3*h - d = 29, -17 = -2*h - d - t. What is the units digit of h? 9 Let w be -4*(26/(-8) - -2). Suppose -2*l - 4*h + 0 = 10, -2*l = -w*h - 35. What is the units digit of l? 5 Let h = 160 - 82. What is the tens digit of h? 7 Suppose 6*f - 296 - 316 = 0. What is the hundreds digit of f? 1 Let h = -1 - -2. Suppose -z = -6 + h. What is the units digit of z? 5 Let w be 2/10 - (-57)/15. Suppose -2*c + w*c - 70 = 0. What is the tens digit of c? 3 Let j be 3 + (2 - 4/2). Suppose 3 - 8 = -2*h - j*x, 4 = 4*x. What is the units digit of h - 26/(1 + -3)? 4 Let n(p) = p**3 + p + 5. Let y be n(0). Let d(m) = 5 - y*m - 2*m + m**2 + m. What is the units digit of d(6)? 5 Let s be (3/2)/(9/(-12)). What is the units digit of 1 + (4 - s) - -1? 8 Let j = 7 - 12. Let w(r) = 3*r + 9. Let y(o) = -16*o - 46. Let p(b) = 11*w(b) + 2*y(b). What is the units digit of p(j)? 2 What is the tens digit of (-2*(-249)/6)/1? 8 Let z = -28 + 53. Suppose z = -l + 6*l. Let a = l - 0. What is the units digit of a? 5 Let x(b) = -20*b**3. Let u be x(-1). Suppos
{ "pile_set_name": "DM Mathematics" }
et a(k) = 18*r(k) - z(k). Let q be ((-1)/1)/(0 - (-7)/(-56)). Let x be a(q). Is x smaller than 27? False Let f(u) = -4*u - 11. Let c be f(-4). Let m be ((-45)/c)/(-3)*-1. Let i be (1/12*m)/1. Is 1.5 at least as big as i? True Let u = 12336/65 - 1396/13. Is u <= 83? True Let m = 26380 - 47122. Which is smaller: m or -20743? -20743 Suppose -15*b - 2446 = -931. Let k = -100 - b. Which is smaller: k or 13/10? k Let y(h) = -989*h + 156374. Let n be y(158). Suppose 2*m + 5*k - 204 = 0, -3*m = -m - 5*k - 244. Is m > n? False Let l(j) be the first derivative of j**4/2 + 2*j**3/3 - j**2 - 786. Suppose 2 - 22 = 4*c, -w = -5*c - 26. Let t be l(w). Is t at least -10? True Let t be (-30)/(-35)*49*-1. Let a = 43 + t. Is a at most as big as 6/11? False Let q be -4*4/(-96) - (-506)/(-12). Let j(s) = s**3 - 3*s**2 - 23*s - 13. Let a be j(6). Let m = a - q. Which is greater: m or -2? m Let c = 1937937 + -397276156/205. Let v be 9/(-3) - (-2404)/820. Let d = c - v. Does d = 5? False Suppose 3*f = 6 + 9. Suppose -5 = -2*x - 5*s, -f*x + 5*s + 0 = 5. Which is bigger: x or -3? x Let j = -83/28 - -19/7. Suppose 691*v = 684*v - 9590. Let q = -75356/55 - v. Which is greater: j or q? q Let s be (-268)/(-6) - (-9)/27. Let g be (-3)/(-6) + s/(-2). Is g less than -83/4? True Suppose -t + 75 = 75. Suppose g - 25 = -4*g, -3*a + 5*g - 4 = t. Suppose -12*x + a*x + 5 = 0. Which is bigger: -3/11 or x? x Let d(j) = j**3 + 6*j**2 + j + 8. Let q be (-8 - -2)*(5 - 2 - 2). Let f be d(q). Let k be (1770/876 - f)*8/(-6). Which is smaller: 1 or k? k Let l = -12314047 + 566362347/46. Let k = -1822 - l. Is 0 at most k? True Let n = 11 + -6. Suppose -5*p - 10*f + 1 = -7*f, 5*p = -n*f + 5. Is -2/49 at most as big as p? False Let g = 0.0089 + 247.9911. Let j = -244 + g. Is 2 != j? True Suppose -2*p = n - 7, -2*p - 21 = -29. Let x = -11.67 - -11.1. Let j = x + -54.43. Is j != n? True Let z = -136.69 - -224. Let v = z + -1.31. Let s = v + -86. Which is smaller: -61/3 or s? -61/3 Let p = 13594 + -13573. Is p smaller than 23? True Suppose 87*k = 67*k - 14880. Let t = 745 + k. Let m be ((-4)/(-789))/((-2)/3). Do t and m have the same value? False Let n = 3 - 280. Let m = n - -276.93. Which is greater: m or -1/4? m Let y = 1.865 + 0.04. Let k = -13.67 - -13.575. Let z = k - y. Is z <= -17/4? False Let i be (12/12)/((-1)/(-2)). Let z be (-118)/(-159) - i/3. Suppose -39 = 42*f - 81. Which is smaller: f or z? z Let o(t) = 9*t + 1264. Let j be o(-53). Does j = 5500/7? False Let n = 722 + -345. Let r = -403 + n. Is r bigger than -26? False Let g be (-15 - -3)*(3 - 1575/522). Let m(f) = -6*f**3 + f. Let q be m(1). Let v(u) = -u - 6. Let b be v(q). Which is greater: b or g? g Let c = -173/423 + 89/141. Is -42/11 not equal to c? True Let y be ((190/(-8))/19)/((-157)/(-108)*-3). Which is bigger: y or 0? y Let m be (40/16 - 3) + (-3302)/(-4). Let b = m + -14029/17. Which is smaller: 0.02 or b? b Let x = -0.214 + -0.076. Let h = -11.49 - x. Which is smaller: -3 or h? h Let d(g) = -2*g**3 - 19*g**2 - 37*g - 144. Let m be d(-8). Which is smaller: -59 or m? -59 Let a be 0 - (-672 + 0 + (-4)/(-2)). Suppose -a - 38 = -12*m. Let j = m + -36. Which is bigger: 24 or j? 24 Suppose 21*g + 7*g - 190020 = -2*g. Is -1 <= g? True Let f = -892 + 6826. Is f bigger than 5934? False Let w(t) = 11*t**2 - 11*t - 11. Let c(a) = -31*a**2 + 33*a + 33. Let l(f) = 6*c(f) + 17*w(f). Let h be l(-10). Which is smaller: h or -2/151? -2/151 Suppose 36*p - 17185 = 31*p. Let b be 2/10 - -3*p/(-105). Let c = -97 - b. Is -3/20 at least as big as c? False Let w = -137.2 + 137. Let r = 0.5 + 6. Let y = -7 + r. Which is smaller: w or y? y Let y = 0.05456 - 214.01456. Let r = -214 - y. Let t = -9 - -13. Is t not equal to r? True Let o = 1064 - 544. Let x be (-5)/(2725/o) + 2 + -1. Is -1 > x? False Suppose -78*g + 63 = -93. Which is greater: g or 596? 596 Let z = -54 - -181. Let s = -126.9 + z. Which is bigger: s or -2/307? s Let q be 4 + 45/(-12) - 4/(-32096)*-2054. Which is smaller: 0 or q? q Let o = 120 - 105. Let v = 80 + o. Let s = -90 + v. Which is smaller: s or -1? -1 Let m = 233041 - 12351176/53. Suppose 0 = -4*v + 20 - 4. Suppose 2*i + 2*i + v*g + 12 = 0, -5*i + g - 3 = 0. Which is smaller: m or i? i Let l = 4449.6 + 993.4. Are l and -0.1 equal? False Let u(v) = 7*v + 229. Let k be u(-18). Suppose 8*o - 303 = -k. Which is smaller: 24 or o? 24 Suppose -2*m = 34 - 8. Let w = m + -8. Let y(c) = 9*c**2 + 243*c - 21. Let z be y(-27). Is z less than or equal to w? True Let x(z) = z + 3. Let t be x(0). Suppose 27*h - 9*h - 36 = 0. Suppose u - 4*l = -9, t*u + 4*l - 3 = h. Which is greater: u or 2/11? 2/11 Let u = 17.674 + 0.386. Let w = -0.06 + u. Let i = w - 17. Which is bigger: -0.2 or i? i Let r = -12.076 + 152.366. Let l = r - 140. Which is smaller: l or 1/2? l Let g = -383/70 - -27/5. Let n be (-2)/(-21)*(-35)/14. Let h = n - g. Which is smaller: h or -1? -1 Let l = -1548 + 1502. Suppose -58 = m - 0*k - 4*k, 2*k - 6 = 0. Is m less than or equal to l? True Let u = -1.91 - 0.09. Let n = -870 - -860.01. Let x = n - -10. Is u < x? True Suppose 39*q = 22*q - 272. Suppose -10*d = -3*n - 13*d, n + 3*d = -4. Which is smaller: q or n? q Let p = -82 + 106. Let l = 21.9 - p. Let v = -2 - l. Is v less than 0.1? False Let h = -300 + 350. Which is greater: -1 or h? h Suppose 2*i = -3*y - y + 6, 2*i - 9 = -3*y. Let k = i - 8. Suppose -2*t + 175 = 169. Do k and t have the same value? False Suppose 27*z = -181082 + 10199. Are z and -6331 nonequal? True Let k = -36 + 37. Suppose 0 = -3*h + v + 3*v + 8, 4*h - 9 = 5*v. Which is greater: h or k? k Let x = -129.2 + 115. Let c = 13.2 + x. Are c and 23 equal? False Let b(l) be the second derivative of 0 - 12*l + 26*l**2 + 1/3*l**3. Let h be b(-26). Is h bigger than -7/8? True Suppose -2*v - 34 = -0. Let l = v + 20. Let n be l - 1 - (-30)/(-20). Is -2 at least n? False Let c = -37012738/187 + 197930. Let d = 28/17 - c. Which is bigger: 0 or d? d Suppose 0 = 2*v + 86 - 78. Let s be -1*(49 + v)/(-3). Suppose 0 = 2*l + 23 - s. Do -1 and l have the same value? False Let f = -10 - -10. Let l be 2 - f*(-5)/15. Suppose l*o + 2*o = 12. Which is greater: o or 4? 4 Let m(n) be the second derivative of -n**4/2 + 25*n**3/6 - n**2/2 - 3*n. Let d = -155 - -159. Let i be m(d). Is i bigger than 3? False Let t = -9.6 - -2.8. Let w = -3.2 + t. Do w and 0.4 have different values? True Suppose 279 = -3*g + 4*n, -9*n + 372 = -4*g - 7*n. Let d be 1/(-2)*((-10)/g)/(-5). Does d = 0? False Let u = -1190 - -1296.1. Let h = 368 + -262. Let b = u - h. Which is smaller: b or -12/7? -12/7 Let a = -5/34 + 3947/26724. Which is smaller: a or -1? -1 Let w(k) = 11*k + 105 + 1 + 42. Let i be w(-17). Suppose -2*g + 43 = -3*g + u, -3*g - 4*u - 108 = 0. Which is smaller: i or g? g Let o be 2/(-9)*3 - 72653/(-99813). Suppose 0 = -3*i + 5 + 7, 4*i = -2*u + 18. Which is smaller: u or o? o Let j be (-2)/(-4)*-2 + (6 - 6). Which is bigger: j or -5/348? -5/348 Let b be (-5 + -4)*5/(-15). Suppose -5*s + 2*l + 61 = 346, -b*l = 2*s + 114. Let g = s + 53. Which is bigger: -1 or g? -1 Suppose 0 = -4*q - 12*q + 64. Let m be 1575/801 + (2 - q). Is -1 >= m? False Let w = 5.808 + -2.822. Let b = 0.022 - 0.008. Let o = b + w. Is -0.1 bigger than o? False Let s be ((-26)/(-5))/((-124)/8). Let q = s - 2/31. Suppose 0 = 7*r + 112 - 14. Do q and r have different values? True Suppose -g = -4*h + 4, 498*h + 4 = 502*h - 3*g. Does -28/81 = h? False Suppose -3*o + 2*o = -j + 626, -4*o = -16. Is 632 != j? True Let z = 4134 - 4222. Which is bigger: -8 or z? -8 Let h = 67 + -62. Suppose 0*k = -k - 2*t - 2, -h*t = 4*k + 17. Let a be 6/(-4)*k/(-20). Is -2 >= a? False Suppose 201*b - 185*b + 86320 = 0. Is b not equal to -5394? True Let q = -0.163 - -0.973. Let x = q + -19.51. Let k = x + 2.7. Do k and 1 have the same value? False Let z(m) = -m**3 + 3*m**2 + 49*m + 18. Let j be z(8). Let t be 7 + 86 - (3 + -1). Which is smaller: t or j? j Let q = 11358970356291/203426 - 55838341. Let h = q + -1983812627/18511766. Let z = 750/7 + h. Which is smaller: z or 1? z Let j be ((-40)/(-5) - 2)/(-2). Let c be j*1 + 3332/1106. Which is smaller: c or -1? -1 Let r = 147.05 - 147.11. Which is greater: -0.1215 or r? r Let f = -2710.1 - -2706. Is 0.71 less than f? False Suppose -2*h + 26 = 4*t,
{ "pile_set_name": "DM Mathematics" }
3)/2 + 2. Let z(p) = p**3 - 3*p**2 + 2*p. Let u be z(n). Let y be 2/(u + 1/(-1)). Sort 2, 3, y in decreasing order. 3, 2, y Let f = -3202.5 + 3202. Put f, -4, 149, -0.3, 0 in decreasing order. 149, 0, -0.3, f, -4 Let c = 5 - 2. Let h(k) = 60*k - 5400. Let o be h(90). Sort -1, o, 5, c in descending order. 5, c, o, -1 Let i = -85 - -35. Let k = i + 51. Let h(q) = -10*q - 23. Let m be h(-2). Sort 9, 4, k, m in descending order. 9, 4, k, m Let w = 2443.8 - 2444. Sort 0.2, w, -3, -2, 3. -3, -2, w, 0.2, 3 Suppose 3*t + 14 = r, -29 = 4*r + t + 4*t. Suppose 2*a = -2*a + 36. Put 0.3, a, 4, r in ascending order. r, 0.3, 4, a Let o = -6489.979 + 6511. Let s = o - 0.021. Let d = s - 26. Put d, -0.1, -2/7 in ascending order. d, -2/7, -0.1 Let j = 3 + -4. Let o = -7.4 + -27.6. Let f = o + 32. Sort j, f, -5 in increasing order. -5, f, j Let x = -1981 - -2009. Sort -2/15, -2.6, x in descending order. x, -2/15, -2.6 Suppose -22*r = 101*r + 123. Let k(a) = -6*a**3 - 1. Let w be k(-1). Put w, -35, r in increasing order. -35, r, w Let p = -89 + -87. Let t = -181 - p. Sort 2/27, -1, 5, t in descending order. 5, 2/27, -1, t Let m = 0.035 + -0.023. Let r be 2/(-8) - 2398/872. Put m, r, -1/3, -0.2 in decreasing order. m, -0.2, -1/3, r Let h be (6/16)/((-297)/1584). Put -5, -343, h in descending order. h, -5, -343 Let q = 1009 - 1012. Let r be 0 + -8 - (-4 + 2 + 7). Put r, 1, q in descending order. 1, q, r Let a be (-234)/(-54)*(0 + (-9)/(-6)) + -6. Sort -0.484, a, -1, -0.5 in decreasing order. a, -0.484, -0.5, -1 Suppose f + 3*o + 194 = 211, 5*f = -3*o + 25. Let k = 10 - 5. Suppose -11 = -x + 4*a, 10 = -x - k*a - 6. Put x, -3, 1, f in descending order. f, 1, x, -3 Let p be (4/(-16))/(9/(-8)). Let t = -207654/5 + 41365. Let h = 166 + t. Sort 2, p, h, 4. h, p, 2, 4 Suppose -47 = d + 5*i - 55, 4*d - 5*i - 57 = 0. Put 4, 2, d in descending order. d, 4, 2 Let k(n) = -n**3 - 4*n**2 + 2*n + 8. Let y be k(-4). Let s(a) = a**3 - 2*a**2 - 3*a - 4. Let u be s(y). Let m = 9 + -6. Sort -3, u, m, 2 in ascending order. u, -3, 2, m Let r = 450.6 - 451. Let x = -3.1 + -1.9. Let d = x + 5.1. Put r, d, -1 in decreasing order. d, r, -1 Let l(s) = -15*s + 130. Let a be l(9). Let h = 18 + -10. Let q = h + -8. Sort q, 1, 5, a in ascending order. a, q, 1, 5 Let d = 0.1404 - 0.9914. Let u = 0.149 - d. Put -4, 5, u, 0.3 in decreasing order. 5, u, 0.3, -4 Let d = 625 + -622. Put 8, -18, d, -3 in increasing order. -18, -3, d, 8 Let z = 108 + -95. Suppose -3*s = a - 17, -11*a + 9*a - 3*s = -22. Sort z, -5, 4, a in descending order. z, a, 4, -5 Let q = -328 + 176. Let z = -154 - q. Suppose -15 = -5*a + d, 12 = a - 0*a - 2*d. Put 3, a, z in decreasing order. 3, a, z Suppose -2*m - j - 12 = -3*m, -2*m + 3 = 5*j. Suppose 0*b - 8*b = 32. Let s be b*(m/4 - (-6 - -7)). Sort 4, s, -3, 5 in increasing order. s, -3, 4, 5 Let x = -36156 - -36151. Sort 1.784, 0.5, x. x, 0.5, 1.784 Let m = 400.5 + -400. Let y = 36 - 57. Let j = y - 6. Put j, m, 4 in decreasing order. 4, m, j Let t(h) = -14*h**2 - 6*h - 27. Let c be t(-3). Let b be ((-2)/(-36))/((-30)/c). Put 2/5, -2/27, b, 4 in increasing order. -2/27, b, 2/5, 4 Let v be (8/(-204))/(4/12 - 2). Let x = 49/85 + v. Sort -4, x, 0.3 in descending order. x, 0.3, -4 Suppose -74*d - 2*s - 6 = -76*d, -4*d + 13 = -5*s. Put -1, d, 0, -14, -30 in increasing order. -30, -14, -1, 0, d Let d be 12/7 + (-4)/(-14). Let y(c) = c**2 - c + 1. Let x be y(2). Let k(a) = 1111*a + 12225. Let p be k(-11). Put d, p, x in decreasing order. p, x, d Let x = 0.0163 + 340.9837. Let i = 339 - x. Sort -1/7, i, -6 in descending order. -1/7, i, -6 Let r(d) = d**2 + 29*d + 18. Let p be r(-27). Let h be ((-4)/10)/(-4*(-6)/p). Let x = -1 + -2. Sort 3, x, -5, h in increasing order. -5, x, h, 3 Let j = 3.7 - 11.5. Let l = j + 8. Let r = 2 + 2. Put 2/15, r, l, 1/4 in decreasing order. r, 1/4, l, 2/15 Suppose -12 = -4*f + 2*y, 4*f - 5*f - 3*y - 4 = 0. Suppose 2*b - 21*b = -19. Sort f, 4, b in descending order. 4, f, b Let a(w) = -38*w + 1977. Let l be a(52). Suppose -2*j - 3*j - 305 = 5*o, o + 5*j + 81 = 0. Sort o, -3, l. o, -3, l Let u = 4/103 + 301/206. Let l be 34/396 + 14/(-63). Put l, u, 2/3 in decreasing order. u, 2/3, l Let r be (0 - (-1)/8)*-32*153/(-816). Sort 1, r, -1322 in ascending order. -1322, r, 1 Suppose -5*i = -4*u + 49, 0 = -i - 148*u + 151*u - 23. Sort 3, i, 353. i, 3, 353 Let d = 162 - 149. Suppose 0 = 27*u - 13 + d. Put u, 2, 233 in increasing order. u, 2, 233 Suppose 4*g = 3*g + 36. Suppose 8*i = 20*i + g. Sort i, 1, 27. i, 1, 27 Let d = 3292 - 3287. Put -1, d, -5, 2/9, -9 in descending order. d, 2/9, -1, -5, -9 Let l = 10 + -9.6. Let j = 99158.97 + -99159. Let a be 15/(-21) + 2 + -1. Sort a, j, l in ascending order. j, a, l Let v = -278 + 77.5. Let w = 201 + v. Sort w, 3, -0.3. -0.3, w, 3 Let n be 1116/(-60) + 17 - 3/(-5). Put n, 37, -7, -4 in decreasing order. 37, n, -4, -7 Let b = 22 + -20. Let p be b/(-6) + ((-55)/3)/5. Suppose -m - 1 = 2. Sort p, m, 4 in increasing order. p, m, 4 Let d = 236 - 82. Let k = d - 155. Sort -3, 36, k. -3, k, 36 Let t = -11650 + 11651. Put 3, t, -6, 29 in descending order. 29, 3, t, -6 Let h = -605/398 - -4/199. Sort 0.108, h, -2/15, 0.3, -0.3 in decreasing order. 0.3, 0.108, -2/15, -0.3, h Suppose -3*y + 52 = 5*z, -y + 0*y = -4*z + 45. Let i = -1 - -3. Let m be (-45)/(-21) - 152/133. Put z, i, 5, m in decreasing order. z, 5, i, m Let h = 0 - -0.4. Let g = 6301/3 + -2100. Put g, h, -0.3 in descending order. h, g, -0.3 Suppose -7*u + 2*t + 22 = -3*u, -4*t = 3*u. Suppose 0 = -d - 0*d - 3, 5*w = -2*d + u. Let p = -4 + -1. Put p, w, -9 in ascending order. -9, p, w Let r be ((-8)/96)/(0 - (8 + -9)). Put -0.1, -1/6, -0.3, 2/9, r in decreasing order. 2/9, r, -0.1, -1/6, -0.3 Let r = 292/119 - 18/7. Sort -0.49, r, 19 in increasing order. -0.49, r, 19 Let u = 0.28869 + -0.58869. Put -4, -2, -158, u, 1/10 in decreasing order. 1/10, u, -2, -4, -158 Let d = 362908.6 + -362909. Let w = -2990/11 + 272. Put w, 55, d in descending order. 55, w, d Suppose 7*a - 216 = 8*a. Let i be (a/81)/(2/(-3)). Sort i, -5, -16. -16, -5, i Let a = 2553 - 2557. Put -0.1, 2/3, a, 2/147 in ascending order. a, -0.1, 2/147, 2/3 Let i = 2688 - 2684. Sort 2, 0, -742, i. -742, 0, 2, i Let u = -2.53 - 439.47. Let v = u + 526. Sort -2/15, 0.3, v. -2/15, 0.3, v Let t = 33011 + -33010.7. Put t, 0.041, 1/4, 6 in decreasing order. 6, t, 1/4, 0.041 Let k = 0.1 + 0.3. Let u = 0.23386 - 0.23386. Put 192, k, u in ascending order. u, k, 192 Let f = 149 + -150. Let k be (1 + (0 - 1))/2. Suppose -m = -o + 2*o - 1, 4*m - 20 = k. Sort o, f, 5 in decreasing order. 5, f, o Let z be (123/(-410))/(-1*(-6)/65). Let a = 352/3 + -350/3. Put 3, a, z in descending order. 3, a, z Suppose 0 = 2*h + 4*a - 264 + 64, -4*h + 2*a = -400. Put 0.05, -4, h in ascending order. -4, 0.05, h Let r be 170/15*117/6. Suppose 27 = -230*h + r*h. Let x(o) = o**3 + 5*o**2 + 2. Let j be x(-5). Put j, -2, -1, h in ascending order. h, -2, -1, j Suppose -67*s - 59*s = 32*s + 632. Let c = -4 + 8. Let q be (-2)/(0 + c + -2). Put s, 3, q, -2 in descending order. 3, q, -2, s Let n(g) = g**2 - 12*g - 71. Let w(c) = 3*c**2 - 38*c - 213. Let v(y) = -8*n(y) + 3*w(y). Let r be v(7). Put -5, 5, r in increasing order. r, -5, 5 Let f = -0.65 + 0.25. Let p be 18/6 - (-2 + 3). Let h = -8 - -8.3. Put f, -2/7, h, p in increasing order. f, -2/7, h, p Let z be (6/10 - 1)*5. Let v = -178771 + 178770.9. Put v, 0.03, z in descending order. 0.03, v, z Let b = -344 + 345. Put b, -0.5, 2, 12, -3 in descending order. 12, 2, b, -0.5, -3 Let o(r) = -r**3 - 23*r**2 + 24*r - 36. Let u be o(-24). Suppose 0*d = 4*d + 152. Let k = u - d. Put k, -3, 3, 1 in ascending order. -3, 1, k, 3 Let g = -675.6 - -635.6. Put 0.5, g, 3, 5, -7 in increasing order. g, -7, 0.5, 3, 5 Let d be (5628/27)/7 + 92/414. Put 5, d, 70 in descending order. 70, d, 5 Let t(r) = -444*r - 3110. Let z be t(-7). Put 0.4, z, -4/7, -47, 5 in descending order. 5, 0.4, -4/7, z, -47 Let b = -2.6 - -3. Let h be (-17 - 2888/(-171)) + (-50)/(-126). Sort 2/55, b, h in descending order. b, h, 2/55 Let u be (17*2/3)/(4/6). Suppose o = -3*p + 6*o + 73, 4*o = -p + 13. Let n = p - u. Sort -2, 2, 1, n in increasing order. -2, 1, 2, n Suppose -39*w + 12*w = -108. Let u be 16/(-6) + (-2)/21*-7. Put w, 0, -
{ "pile_set_name": "DM Mathematics" }
in 5, 2, 4.17, 110, -0.1, 4? -0.1 Which is the closest to -1? (a) 2 (b) -3/7 (c) 3 (d) -1 (e) 3200849 d What is the closest to -1 in 0.2, 0.1, -60, -1156, -4? 0.1 What is the nearest to 40 in -5, -7/2, -1900? -7/2 Which is the nearest to -2/5? (a) -38/9 (b) 16.2 (c) -0.2 (d) 19 (e) -0.4 e Which is the closest to 0.1? (a) -21867 (b) -84 (c) -5 (d) 3/5 (e) -0.2 e What is the nearest to 0.21 in 22, 97, -12, -4, 11? -4 Which is the nearest to 5? (a) 158 (b) 306 (c) -1/4 (d) 2 d Which is the closest to 0? (a) -1.435 (b) 4 (c) -1/2 (d) 68/7 (e) 2 c What is the nearest to 0.2 in -1152, -0.05, -1/4, -3/5, 0.3? 0.3 What is the closest to -0.1 in -6/13, 3/2, 0.404, 0.04? 0.04 Which is the nearest to 5/4? (a) 13 (b) -23 (c) 8 (d) -1/4 d Which is the nearest to 1/3? (a) -1878 (b) 2 (c) -0.1 (d) -1/3 (e) -87 (f) -2/3 c What is the nearest to 1 in -1/5, -4, -7/8, 0.63, 2/7, 0.1? 0.63 What is the nearest to 4 in 1, 0.3, -4.4824? 1 Which is the nearest to -5/11? (a) 0.3 (b) -290.2 (c) 8/3 (d) 4 a Which is the closest to 0? (a) -14/9 (b) 0.5 (c) -7 (d) 4 (e) -49/20 (f) -0.2 f Which is the closest to -0.033? (a) -1/4 (b) -4 (c) 33/5 a Which is the nearest to 4? (a) -1.7 (b) -0.3 (c) 3116 b What is the nearest to 116 in -14, -11, 39? 39 What is the closest to 2/7 in 4, 3941, -4, -1/12, 8/217? 8/217 Which is the closest to -1? (a) 33 (b) 104.4 (c) -1 (d) 1/8 (e) -0.2 c Which is the closest to -1? (a) 2/7 (b) 1.3 (c) -0.2 (d) 0 (e) 223 c What is the closest to -1/6 in 0, 0.3, 2/7, -0.5, 4590.82? 0 Which is the closest to 0.2? (a) 0 (b) 3/8 (c) -0.89 (d) -26/97 b Which is the nearest to 8? (a) -0.2 (b) -3 (c) 2/9 (d) 3311 c Which is the closest to -13? (a) 104 (b) 20 (c) -1 (d) 3 (e) -0.05 c What is the nearest to -6 in -0.1, 1/3, 1, 0, 0.5, 2/68537? -0.1 Which is the nearest to -1? (a) 0.0303 (b) -1/7 (c) 1/5 (d) -0.00707 b Which is the closest to -0.2? (a) 28228 (b) 1 (c) 0.1 (d) -4 (e) 2 (f) -2 c What is the nearest to 423 in -0.006, 5, -76, 0.4, 0, -2/9? 5 Which is the closest to 58? (a) 1 (b) 4/21 (c) 5 (d) -0.6 (e) -27/4 c Which is the closest to 0.3? (a) 1.2 (b) 1131 (c) -2/11 c Which is the closest to -0.1? (a) -21.9 (b) 3/5 (c) 2.717 (d) -0.1 (e) -3 d What is the nearest to -1 in 423, -3, 0.1962, -1/9? -1/9 What is the nearest to 0.1 in 0, 2288.843, -1? 0 What is the closest to -0.058 in 2/169, -2/13, -0.4? 2/169 Which is the closest to 123/937? (a) -11 (b) -7 (c) 0.06 c Which is the closest to 27307? (a) 3/5 (b) -25 (c) -4 (d) -1 a What is the nearest to 33 in 0.01, 1/24, 3/13, -2, -0.4? 3/13 Which is the nearest to -29? (a) -36 (b) -1/562 (c) -2 a Which is the nearest to -8/5? (a) -23 (b) 4 (c) -96 b Which is the closest to 2? (a) -0.1 (b) -193 (c) -1/2 (d) -13 a What is the nearest to -2/3 in 5, -8, 23, 9, 2/47, 10? 2/47 Which is the closest to -3? (a) 1 (b) -1/111 (c) -3075 (d) -4/7 d What is the closest to 0.1 in -2, -19, 251/2, -6, -0.4? -0.4 Which is the closest to 8.64? (a) -2 (b) -0.131 (c) 2/149 c Which is the nearest to -2/11? (a) -0.8 (b) 3 (c) -4 (d) -4277 (e) 124 a Which is the nearest to 1? (a) 96 (b) -1.39 (c) -6 (d) -0.2 d Which is the closest to 4? (a) -4 (b) 1.507285 (c) 2/5 b What is the closest to 1 in -0.1, 0.4, -6390/73, 2? 0.4 What is the closest to 1/7 in -8, -2, 9/7, 20, 124? 9/7 Which is the closest to 0? (a) 5 (b) -3/16 (c) 277836 b Which is the nearest to 0.4? (a) 0.3 (b) -0.0502 (c) -4/5 (d) 1/3 d What is the nearest to 1/2 in 8, 5, -0.1, 9215? -0.1 What is the nearest to -0.27164 in 4, -1/2, -55/2, 0.2? -1/2 What is the nearest to 11/3 in 5, 6/7, 0.5, 97? 5 Which is the nearest to -1/2? (a) 1/5 (b) -5 (c) -3/8 (d) 3/227 (e) -0.5 (f) 1183 e Which is the closest to 2.44? (a) -0.1 (b) 9 (c) 0 (d) 0.01 d What is the nearest to -1 in -0.2, -1.3, 0.95, 3/26? -1.3 Which is the closest to -1/5? (a) -386024 (b) 0 (c) -5/4 b What is the nearest to 103 in 1, -23, 1/2, 108? 108 Which is the closest to 50/3? (a) 8 (b) -1 (c) 10157 a What is the nearest to -1 in 8, 1130/7, 17.45, -1/6? -1/6 Which is the closest to -1/2? (a) -3/13 (b) -0.223 (c) -45/7 (d) 0.3 (e) -1/5 a What is the nearest to -1 in -106, -1, 0, 2, 2/527? -1 What is the nearest to 1/4 in 21623, -364, 7? 7 Which is the closest to 0.1? (a) 28 (b) 0.4 (c) -2 (d) -509 (e) -2/7 b What is the closest to -5 in 1/3, -1/11, 8276287? -1/11 What is the nearest to -0.4 in 0.064, 0, -3/2780? -3/2780 What is the nearest to 1/3 in -1/42, 22, 2/5, -1.5? 2/5 Which is the nearest to 20? (a) -2789 (b) -0.26 (c) 0.4 c What is the nearest to -4 in 0, -1/28, -1/5, 32, 0.8, 0.3? -1/5 Which is the closest to 4? (a) -0.4 (b) -3/26 (c) 2.48 c Which is the closest to 1/3? (a) 50 (b) 0.7 (c) 5 (d) 0.07 (e) 46/9 d Which is the closest to -1? (a) -62 (b) 0 (c) 0.048589 (d) -4 b Which is the nearest to -0.157? (a) -8 (b) 11805 (c) 2/7 (d) -2/7 d Which is the closest to 2.5925? (a) -3 (b) -1/13 (c) 0.1 (d) -0.4 (e) 0.12 e Which is the nearest to -2/43? (a) -2 (b) 1/12 (c) 34/7 (d) 3/4 (e) -47 b Which is the nearest to -0.1? (a) -7 (b) -3 (c) 1/4 (d) 33 (e) -1/42 (f) -2/15 f Which is the closest to -6/7? (a) -1/2607 (b) 14.6 (c) 4 a Which is the nearest to 1/3? (a) 2/3 (b) 0.07 (c) 2/13 (d) 98.5 c Which is the closest to 4? (a) -0.058 (b) 4 (c) 28 (d) 3 (e) 1 b Which is the nearest to 2/9? (a) -1/4 (b) 1/88 (c) -105.9 (d) 3 (e) 1/4 e What is the nearest to 2/21 in 1/2, 4/7, 40, -432, 5? 1/2 Which is the nearest to -1/3? (a) 0 (b) -11/650 (c) 1/24 (d) 2/7 b Which is the closest to 4? (a) -364 (b) 30 (c) 34 b Which is the closest to -7? (a) 1/3 (b) 5 (c) -10 (d) 1 (e) 2/7 (f) 720 c What is the closest to -2/5 in -0.5, -4, -141.24, -2/37? -0.5 What is the nearest to 1/3 in 3/8, 1/4, -697, -3/4, -0.02? 3/8 What is the closest to 13 in 0.06, -2/13, 2, 14.6, -19? 14.6 What is the closest to 0.1 in -0.07, -29535, -11? -0.07 What is the closest to 5 in 196272, 1/4, 0, 0.3? 0.3 Which is the closest to -0.1? (a) 2/11 (b) 0.5 (c) -6 (d) -3 (e) -8.4 (f) -3914 a Which is the nearest to 0.1? (a) 8.5 (b) -0.5 (c) 26 (d) -3 (e) -2/235 e What is the closest to -2 in 1/7, 1/6, 170421, 0? 0 What is the nearest to 0 in -70, 1/124, -335, 1? 1/124 Which is the nearest to 0.1? (a) -0.3 (b) 2 (c) -5 (d) 0.91 (e) -8 a What is the nearest to -0.1 in -74, -10/33, -0.5, 0.1, 0? 0 Which is the closest to 1? (a) 3/5 (b) 28 (c) -2/9 (d) 48/5 a What is the closest to 38.9 in 25, 79, -0.3? 25 Which is the nearest to 0.1? (a) 3 (b) 0.2 (c) -156 (d) 0.93 (e) 9 b What is the closest to -3/8 in -0.3, -46, 4/17, 2/15? -0.3 Which is the closest to -2? (a) 40.423 (b) 4.1 (c) -3/5 c What is the nearest to 0 in 1.836, 1770, 2/15, 0.1? 0.1 What is the closest to 2/17 in 2, 1/231, 1/2, 43? 1/231 What is the closest to -0.3 in 2/67, -66, -75, 3, 0.4? 2/67 What is the nearest to -335 in -9/2, -6.4, -0.4, 5? -6.4 Which is the nearest to 9? (a) 2/3 (b) -4 (c) 301616 a Which is the nearest to -0.07? (a) -85456/11 (b) -0.1 (c) 5 (d) -2 b Which is the closest to 3/22? (a) 5484.7 (b) 5 (c) 3/5 c What is the closest to -0.56153 in -0.4, 0.2, 1/2, -1, 4? -0.4 What is the nearest to -1 in -0.1, 1/19, -12207, -0.03, -6? -0.1 Which is the closest to -1/92? (a) 1 (b) -16 (c) -154 (d) 1/5 (e) -0.3 d What is the closest to 1 in -5, -44.7, 1/2, 0, 5/28? 1/2 What is the nearest to -1 in 3, 4, 0.1, -1002, -0.03? -0.03 What is the nearest to -2/56327 in 3, -1/9, 1/8? -1/9 Which is the closest to 40.7? (a) -63 (b) -1/30 (c) -2 (d) 13 d What is the closest to -15 in 2, -15/274, -2/13? -2/13 Which is the nearest to -1? (a) 0 (b) 0.54 (c) 10/7 (d) 0.1 a Which is the nearest to 3? (a) -12 (b) -4 (c) -1/11 (d) 35 (e) 249 c What is the nearest to -1/26 in 16, -1/8, 662? -1/8 Which is the nearest to 153/8? (a) 1.126 (b) 0.5 (c) 1/4 a Which is the closest to 18? (a) -54/13 (b) 0.04 (c) -164/5 b Which is the nearest to 1/3? (a) -2/3 (b) -1/7 (c) -47986 (d) -0.11 d What is the closest to -5/34 in 0.024, -1662/11, 2? 0.024 Which is the nearest to 1/94? (a) -1/8 (b) -23/7 (c) -1 (d)
{ "pile_set_name": "DM Mathematics" }
o 5 dps? 0.00004 Let v = -61.513 + 63. What is v rounded to one dp? 1.5 Let i(v) = -76*v**2 - 45*v - 159. Let s be i(-39). Round s to the nearest one hundred thousand. -100000 Let u = 1724.9995765 + -1725. Round u to 4 dps. -0.0004 Let l = 11 - -17. Let f = -8 + l. Let k = f - 20.0000025. What is k rounded to seven dps? -0.0000025 Let k = 0.27 + -2.67. Let l = -0.4 + k. Round l to 0 decimal places. -3 Let c = 12260560229.99999874 - 12260560073. Let i = -157 + c. What is i rounded to seven dps? -0.0000013 Let x = 0.072 - 0.2. Let f = x + 0.1. Let d = -5.828 - f. What is d rounded to the nearest integer? -6 Let z = -174715104 - -174715153.9999868. Let d = 50.02 + -0.02. Let k = z - d. Round k to six dps. -0.000013 Let m = -1263 - -1262.9997958. What is m rounded to 4 decimal places? -0.0002 Let x = -26.3947 + 44.39542. Let k = 143 + -125. Let h = x - k. What is h rounded to four decimal places? 0.0007 Suppose 2*k + 35 = 5*f, -4*k + 3*k - 20 = -3*f. Suppose 3*u - 1003 = -f*d, d - 3 = -7. What is u rounded to the nearest 100? 300 Let b(y) = 16*y + 27. Let o be b(11). What is o rounded to the nearest ten? 200 Let g = -0.0345 + -15.9655. Let x = -1076.26 + 1092. Let r = x + g. Round r to 1 decimal place. -0.3 Let q = 704649.179913 + -704710.18. Let t = -107 - -168. Let s = t + q. What is s rounded to five decimal places? -0.00009 Let c = -0.334 - -0.3205. What is c rounded to 3 decimal places? -0.014 Let c(w) = -360*w**3 + 5*w**2 + 23*w + 36. Let r be c(-7). What is r rounded to the nearest ten thousand? 120000 Let t = -61 - -181. Let c = -120.00000314 + t. Round c to 7 decimal places. -0.0000031 Let d be ((-3)/(-9))/((-2)/516*2). Let l = 47 + d. What is l rounded to 0 decimal places? 4 Let p be 5667480/(-98) - (-80)/56. Round p to the nearest 10000. -60000 Let y = 4525386 - 4525385.96900079. Let g = 0.031 - y. What is g rounded to seven decimal places? 0.0000008 Let q = -358665 - -180145. Round q to the nearest ten thousand. -180000 Let w = 632.7493 + 77909.5907. Let f = w - 78542.52999965. Let p = f - -0.19. Round p to 7 decimal places. 0.0000004 Let n = -0.071 - -9.971. Let w = n + -8. Let t = 1.899905 - w. What is t rounded to 5 decimal places? -0.0001 Let j = 74.77 - -0.23. Let y = -74.999994 + j. What is y rounded to six decimal places? 0.000006 Let r be (-1848)/36*(1 - 496). Let d = -43110 + r. Round d to the nearest one thousand. -18000 Let w = 16 + -27. Let x = -42 - w. Let v = -30.9999911 - x. Round v to six decimal places. 0.000009 Let t = -8.98537 - -8.85. Let l = t + 0.134. What is l rounded to four dps? -0.0014 Let l(o) = -5709987*o + 13. Let r be l(-1). What is r rounded to the nearest 1000000? 6000000 Suppose n - 268789 = u + 3*u, -u = -2*n + 67199. Let v = u + -19803. What is v rounded to the nearest 10000? -90000 Suppose 0 = 50*z - 37*z - 64870000. Round z to the nearest one million. 5000000 Let x = -8831803673.0000271 - -8831803112. Let v = x - -561. What is v rounded to 5 decimal places? -0.00003 Let k(i) = -1459999*i**2 + 3*i + 2. Let s = 79 - 80. Let j be k(s). What is j rounded to the nearest one hundred thousand? -1500000 Suppose -3*r - 5 = -14. Let d(v) = 84*v**3 + 3*v + 3. Let w be d(r). Round w to the nearest 100. 2300 Let n = 1.33 - -0.27. Let y = n - 1.6000078. What is y rounded to six decimal places? -0.000008 Let s = -46618 + 82111. Let r = 35492.909997 - s. Let m = r - -0.09. Round m to six dps. -0.000003 Let w = -12 - -28. Let l be (w + -16)/(1/(-1)). Suppose 0 = -3*c + z - 2*z + 47997, l = z + 3. Round c to the nearest 1000. 16000 Let g = -114.4 + 115.441. What is g rounded to one decimal place? 1 Let k = -263 - -263.0000236. What is k rounded to six decimal places? 0.000024 Let g(l) = 215247*l - 307. Let t be g(-19). What is t rounded to the nearest 1000000? -4000000 Let l = -24234 + 44884. Round l to the nearest 1000. 21000 Suppose 0 = 4*t + 7 - 19. Suppose -2*p + t*j = 3520012, -2*p - 2*j = -6*p - 7040008. What is p rounded to the nearest 100000? -1800000 Let r = -32.6 - -32.284. What is r rounded to 2 decimal places? -0.32 Let n = -7.642 + -24.088. What is n rounded to the nearest 10? -30 Let n = -52.4387 - -0.0387. Let r = n - -86. What is r rounded to 0 dps? 34 Let n = 56 - 91. Let h = n + 35.000177. Round h to 5 decimal places. 0.00018 Suppose 4*y + 9252 = -4*p, 3*y - 11541 = 6*p - p. What is p rounded to the nearest 1000? -2000 Let b = -2132.2 + 2635. Let q = b - 352. Let w = 170 - q. Round w to zero dps. 19 Let k = -3 - 2. Let n be 3/15 + (-59)/k. Suppose 5*y - 18 - n = 0. What is y rounded to the nearest ten? 10 Let o = 439 - 236. Suppose 3*g - 32 = -5*s + o, -188 = -4*s + 2*g. Suppose 143 - s = 3*l. What is l rounded to the nearest 10? 30 Let a = 979.99998111 + -980. What is a rounded to 6 decimal places? -0.000019 Let k = 0.281024 - -2.618716. Let z = 1.87 + 1.03. Let g = k - z. Round g to four decimal places. -0.0003 Let q = 53.046 + -53. Let w = -11.454 - q. Let r = -12 - w. What is r rounded to one dp? -0.5 Let l = 181 + -169. Round l to the nearest integer. 12 Let o = -157.97 - -151. Let n = -7 - o. Let b = -0.029986 - n. What is b rounded to five dps? 0.00001 Suppose 6 = 5*c + 31. Let u be ((-25)/c)/(1/(-1400)). Round u to the nearest 1000. -7000 Suppose 4*h - 1130790 = 3*c - 5*c, 5*c = 4*h - 1130825. What is h rounded to the nearest 10000? 280000 Let a = 552.367 + -0.367. Let q = -339 + a. Let h = q + -213.0372. What is h rounded to 3 decimal places? -0.037 Let d = -5.8 + 6.592. Let l = -0.792714 + d. What is l rounded to four dps? -0.0007 Let z = -748.02116 - -748. What is z rounded to 3 decimal places? -0.021 Let f = -839038 + 839044.53347. Let i = f - 6.624. Let d = 0.09 + i. Round d to four dps. -0.0005 Let n(b) = -14968*b**3 - 5*b**2 - 7*b. Let a be n(-4). Round a to the nearest 100000. 1000000 Let b(c) = 926*c**3 - 5*c**2 + 12*c - 12. Let n be b(2). Round n to the nearest one thousand. 7000 Let s = -1101529 + 1101518.37474. Let a = -10.51526105 - s. Let d = -0.11 + a. What is d rounded to seven dps? -0.0000011 Let y = 141 + -139.29. Let z = -0.16 + y. Let n = -1.550089 + z. Round n to five dps. -0.00009 Let w(f) = 231*f**3 + 25*f + 7. Let o be w(-17). Let z = o + 2555321. Round z to the nearest 100000. 1400000 Let p = 843761004.3 - 843764505.179699. Let j = p + 3658.8797259. Let o = j + -158. What is o rounded to six decimal places? 0.000027 Let q = 0.4299743 - 0.43. Round q to 6 decimal places. -0.000026 Let g be 0*(-3 + 5 + (-6)/2). Suppose g = 8*x + 5*x + 829400. What is x rounded to the nearest 10000? -60000 Let b(x) = -362964*x**3 - 4*x**2 - 3*x - 1. Let t = 204 - 285. Let z be (2/(-3))/((-18)/t). Let h be b(z). What is h rounded to the nearest 1000000? 10000000 Let x(r) = 48*r**3 + 8*r**2 - 12*r + 2. Let j be x(7). Suppose -5*t + a = -81502, 5*t + j = -a + 98272. What is t rounded to the nearest 1000? 16000 Let m = -10.5001285 + 10.5. Round m to five dps. -0.00013 Suppose -403361 + 151361 = -10*j. Round j to the nearest 1000. 25000 Let k = -26547615 - -26547520.000055. Let l = k - -95. What is l rounded to five dps? 0.00006 Let j = -0.3258 - -0.1328. What is j rounded to 0 decimal places? 0 Let q = 31.01 + -5.43. Round q to zero decimal places. 26 Suppose -3*o + 48614 = -5*a, o = -o - 2*a + 32404. Let d = 33903 - o. Round d to the nearest one thousand. 18000 Suppose -2*o - 10 = -2*g, 0*g + g = 4*o + 26. Let t be o/(21/800)*(-2 - -32027). Round t to the nearest one million. -9000000 Let k(o) be the third derivative of -185*o**4/6 - 10*o**3/3 + 6*o**2. Let g be k(7). Round g to the nearest one thousand. -5000 Let t(u) = -31*u**2 - 3*u - 1. Let z be t(-1). Let h = z - -20. What is h rounded to the nearest 10? -10 Let g = 0.349 + -1.321. Let s = 1.1 + g. Round s to 2 dps. 0.13 Let f = 0.25 + -38.25. Let g = f - -37.999928. Round g to five decimal places. -0.00007 Let c(f) = 396*f**3 + 14*f**2 - 32*f - 70. Let n be c(-11). Round n to the nearest 100000. -500000 Let q = 94.16 + -3.66. Let g = -55.6 + q. What is g rounded to the nearest integer? 35 Suppose -5*m - 12 = -3*l, 2*l - 4*m - 6 = 2. Suppose 0 = l*v - 7 - 1. Let u be 379999 + 3 + v*-1. What is u rounded to the nearest 100000? 400000 Suppose -3*o = 10 - 1, -o = 5*h - 27. Suppose 0 = -h*a - 771 + 207. What is a rounded to the neare
{ "pile_set_name": "DM Mathematics" }
value of (-1178)/133 + (-1)/((-1)/8)? -6/7 What is ((-45)/(-855))/((-8)/(-38))? 1/4 (246/(-410))/(((-14)/15)/((-24)/36)) -3/7 Evaluate (1 + 1)*((-3)/9)/((-32)/(-624)). -13 Calculate 60/(-270) + 225/162. 7/6 What is (9/1 - 7) + 5 - 39? -32 Calculate 47*4/1034 - (113/(-44) - -2). 3/4 Evaluate (-21)/(-2) + ((-12)/(-28))/((-28)/(-98)). 12 Calculate 1/13 - 8636/4953. -5/3 Calculate (-10)/60 + (-182)/175*40/96. -3/5 Calculate (-7)/(-5) + 4*(-72)/20. -13 Evaluate ((-14)/(-4))/((-25)/(56100/(-357))). 22 What is the value of ((-864)/378)/((-12)/63)? 12 Evaluate 1012/276*(-3)/(-11). 1 Calculate (-89)/(-216) + 82 + 32291/(-392). 1/27 What is the value of ((-456)/32 - -14)*-4*72/(-3)? -24 (-84)/532 - (-116)/(-228) - (-118)/6 19 What is (9 + 310)/11 + -11 - 21? -3 ((-84)/30 + (1 - -2))*10/(-22) -1/11 Calculate (-41 - (-4131)/102) + 69/66. 6/11 Calculate (72/(-15) - 1) + (-300)/(-375). -5 What is the value of (112/160)/(119/136)? 4/5 Evaluate (-8 + 710/90)/(6/18). -1/3 (-2)/8*18/(-12) 3/8 Calculate ((-10)/(-84))/(375/675). 3/14 17 - 5 - (21 - -1) -10 What is the value of 3 + 122/(-12) + 4200/600? -1/6 Evaluate (-14 + 2 - -2) + 135 + -123. 2 Calculate -1*12/8 + (-1 + 9 - 5). 3/2 ((-3)/(3/4))/(2/1) -2 Evaluate 134/46 + 1788/(-69) + (-10920)/(-420). 3 Calculate 2 + 1*(-87)/45 + 150/1125. 1/5 What is 1312/128 - (-30)/8? 14 Evaluate ((-12)/(-10))/(-36 + 73287/2040). -16 What is the value of (-1 + 20 + 9)/(-5*20/50)? -14 What is the value of (14 + (-913)/66)*(1 - (-3)/(-1))? -1/3 1/(-49) + 17907/(-37338) -1/2 What is 24*(-3)/((-264)/(-110))? -30 4/(5 + 3) - (-30)/(-130)*39 -17/2 Evaluate -13 + (12 - (-247)/195). 4/15 Calculate ((-12)/300)/((-10)/(-275)) - 1/(-2). -3/5 ((-622)/3421)/((-16)/44) 1/2 What is the value of -3*((-40)/50)/4? 3/5 Evaluate (5 + -5 - 77/22)/((-43)/(-258)). -21 Calculate (2/(-5)*40/6)/((-396)/(-1782)). -12 Calculate ((-70)/(-1050))/((-1)/(-10)). 2/3 What is the value of 50*((-470)/50 - -9)*1? -20 Calculate 5/30 - ((-15)/3 - 2701/(-555)). 3/10 Evaluate ((-2)/((-1242)/81))/((-1)/2 - -2). 2/23 What is the value of 2/(-16)*360/(-405)*27? 3 Calculate 290/(-435)*(6 - 10/(-4)). -17/3 What is ((-20020)/(-98))/(-10) - 1*9/(-21)? -20 Evaluate 3 + 192/(-56) + (-285)/(-532). 3/28 Calculate 18/(-20) - (-14)/28. -2/5 What is (-74 + 24)*4/(-20)? 10 Calculate 253/22 - ((-90)/(-12) + -7). 11 (((-7)/14)/(-2 + 3))/((-1)/2) 1 Calculate 42/30 + (0 + 33)/(-3 - -8). 8 What is ((-15)/6)/((-124)/(-372))? -15/2 Evaluate (-3)/11 + (18 - (-13122)/(-1980)) + -11. 1/10 What is (-29)/696*(0 + -14 + 2)? 1/2 Calculate (3846/(-2564))/((498/8)/(-1) + 0). 2/83 Calculate (33/495)/((-2)/6). -1/5 (1/2)/(((-16)/14)/(180/210)) -3/8 1012/99 - (1 + 9) 2/9 What is the value of ((-6)/1 - 6) + (-136)/(-17)? -4 What is (-2)/(1/(-1)) + -13? -11 Calculate (8/16)/(665/(-110) + 6). -11 Evaluate 904/(-72) + 10 - (-4)/(-9). -3 What is ((40/12)/(-10))/(1/3)? -1 ((-855)/(-7600))/((-6)/(-16)) 3/10 (-508)/(-635) + (-18)/(-15) + -4 -2 What is 34/3 - (3300/90)/(-22)? 13 Calculate 50/(-4)*(-251)/1255. 5/2 Evaluate (-2483)/468*4 + 21. -2/9 -3*1 + (-3264)/(-768) 5/4 Evaluate 49 - (-29 - -40 - -20). 18 Calculate (0 - -2) + 12/(-9) + (-11396)/(-924). 13 What is the value of (-841)/(-87)*-2 + (-1)/(-3)? -19 Calculate ((-48)/(-56))/((-39)/637). -14 Evaluate ((-2)/(-84))/(78/468). 1/7 What is the value of (-4)/(-52) - (2 + 840/104 + 9)? -19 26/(-3)*(2 - 12/24) -13 Evaluate (72 - 27300/375)/(17/5). -4/17 What is the value of 6666/9090 + 3/18*-2? 2/5 (18 - 1016/56) + (-345)/35 -10 Evaluate 149/(-447)*(-24)/(-40). -1/5 Evaluate 10 + (1729/(-76) - (-7)/4). -11 Calculate (0 - 2)/(-35 - (-7163)/203). -7 Calculate 518/(-174) - (-131 - -128). 2/87 Calculate 21 + (-1530)/75 - (0 - (-19)/65). 4/13 What is 13/(-60) + ((-33350)/696 - -48)? -2/15 (-27 + 14 - (-615)/48)/((-3)/3) 3/16 ((-32)/112 + 19/(-7))*8/(-3) 8 Evaluate 8/48*4/18*-2. -2/27 Calculate (-1)/5*2 - (126/10)/21. -1 What is the value of (((-340)/560)/(-17))/((-4)/8)? -1/14 What is 12/(-62)*(-50)/150? 2/31 What is the value of (-7 + -4)*(-12)/44? 3 Evaluate 24/42 + 132/(-672). 3/8 What is (-183 - -127)/((-8)/3)? 21 Calculate (-31 + 3080/100)*(10/(-16) + 0). 1/8 -12 - 1668/(-10)*1030/14214 2/23 What is the value of (2/(-4))/((-16)/7*287/(-82))? -1/16 Evaluate (-3)/((-18)/(-168)) - ((53 - 25) + -25). -31 Calculate (-246)/(-22) + 2716/308 + -9. 11 Evaluate 22 - 0 - ((-1536)/(-336) - (-8)/(-14)). 18 Evaluate ((-43094)/10962 - (-6)/81) + (-1 - -5). 1/7 (-10 + 12)/(1 - -12) + (-15)/351 1/9 -1108 + 1090 - ((3 - 8) + (-1)/(-1)) -14 What is 220/(-80)*-8 - -3? 25 What is 21 - (29 - 258/33)? -2/11 Evaluate (-1)/(7/14)*-15*16/40. 12 1/(2/3) - (-759)/(-66) -10 Evaluate (-11)/(-165)*(77/21 - -3). 4/9 Calculate (24 - 1)*534/4094. 3 Calculate 4/(-90) - 1680/(-10800). 1/9 What is 7/84 - (-833)/84? 10 What is 386/(-26) - (-7 - 8)? 2/13 What is (-198 - -206)*(0 + -4)? -32 What is 2/(-28)*22 + 204/357? -1 Evaluate ((-351)/(-156))/(6/(-16)). -6 What is 32/(-1200)*(-3 + 4/(-2))? 2/15 What is ((-1)/4)/((-2)/(-56))? -7 What is -54*(3*2/(-36))/(40/16)? 18/5 Evaluate -2 + ((-324)/795)/((-5)/25). 2/53 Evaluate (7*200/(-560))/((-4)/(-6)). -15/4 ((-87)/27 - -3) + (-4 - (-588)/216) -3/2 Calculate (80/2 - 4) + (-2114)/151. 22 (-107)/10 - (-204)/(-680) -11 Calculate (110/(-84) + 736/644)/((-1)/4). 2/3 What is (1320/(-495))/(-26 + 2)? 1/9 (3 - -11)*(16*(-48)/(-126) - 6) 4/3 (280/245 + 5/(-35))*(-16)/(-1) 16 What is 14/2 - (-15 - -28)*15/39? 2 Calculate (25/(-2))/5*(224/16)/1120. -1/32 Calculate 1/((-17)/(-595)*-5). -7 What is the value of 10*4/(-64)*-2*48/2490? 2/83 (-2 - 13) + 151/(3926/780) 15 Evaluate 255/(-18)*(-888)/370. 34 What is the value of (-2)/11 - ((-16)/(-56) + 2202/231)? -10 What is the value of (8 + (-234)/189*7)*(-42)/4? 7 -37 + 34 + -33 - -33 -3 (-4)/(-3) + (22 - 23)*385/363 3/11 What is (290/(-812))/((-4)/10*(-25)/20)? -5/7 Calculate (-3)/(-36)*-4 - (0 + (-312)/18). 17 (-10)/4*-2 - (-26)/(26754/(-5047)) 2/21 Calculate (-30)/(-10*(510/(-50) - -10)). -15 (-12)/(-102) + (-7946)/493 -16 What is the value of 21 - (-19)/(1900/(-2275))? -7/4 What is the value of (-3)/120 - (-403)/3224? 1/10 What is 10/(1 + 4 + (-7 - (-6)/4))? -20 Calculate (576/140 + -4)/(8/(-20)). -2/7 What is ((-9)/27 - (-74)/(-3)) + (87 - 92)? -30 What is the value of (15/6)/(45 + (-35329)/784)? -40 Calculate (-43)/(-3) + 2*(18 + -24). 7/3 Evaluate (10/8)/((-251)/(-5020)). 25 330/1188*12/(-15) -2/9 What is 47 + (23 - 2)*(-1206)/1407? 29 140/348 + (574/(-21))/82 2/29 What is (40/(-320))/(3/(-28))? 7/6 4437/(-56637) + (-4)/(-28) 2/31 What is -2*2/(-4) + 16668/576 + -30? -1/16 Calculate 2/(10*(-7)/350). -10 What is the value of 65/195*36/15 - 132/15? -8 Evaluate 2 + 0 - (408/108)/2. 1/9 What is the value of ((-12)/(-22))/(-1) - (-238)/1870*9? 3/5 What is the value of (-11 - (512/(-24) - -9))*(-3)/(-44)? 1/11 Calculate (-5 - (-737)/121)/((-260)/(-286)). 6/5 (180/117)/10*(-86 - -88) 4/13 What is the value of (-5)/(-1*(-6)/(-24) - 12/16)? 5 What is the value of -11 - -5 - ((-10)/(-120)*-8 + -6)? 2/3 Evaluate ((-70)/56)/((-25)/10) - 1/(-6). 2/3 (-22)/77 + (-132)/(-1344) -3/16 Evaluate (-55)/4 + 1606/584. -11 What is the value of (8/34)/((-5290)/(-8993))? 2/5 What is the value of (-6)/16 - (100947/(-5928))/77? -2/13 Calculate (28/(-98))/(20/7). -1/10 Calculate (4340/10850)/((-4)/30*(-12 - 0)). 1/4 ((-39)/156)/(23/1380) -15 What is the value of (4208/(-336) + 13)*21? 10 Evaluate 1316/(-1128)*(-44)/14*3. 11 What is the value of 8/180*5 - 345/(-270)? 3/2 What is 1*3/((-96)/(-40))*(-80)/5? -20 Evaluate 174/(-783) - 256/(-828). 2/23 What is ((-12)/200)/(5 - (-85)/(-20))? -2/25 ((-18)/15)/((-85)/(-425)) -6 Calculate (0 + 92)*(18 - 1314/72). -23 34/(-10) - (-10 + (-318)/(-30) + -1) -3 Calculate 10/(-65) + (-3)/39. -3/13 Calculate (-36 + (-306)/(-18))*-1. 19 ((-10)/130)/(4/26) -1/2 (-15)/10*(-14 + (-400)/(-60)) 11 What is (1 - 0) + -51 + (-448)/(-14)? -18 (-6290)/1850 + (3*1 - -1) 3/5 (3 - 0) + (-121)/(-165)*(-3 - 0) 4/5 (-8)/60 - (1793/(-165) + 11)*44 -6 What is the value of 18/28 + (-100)/175? 1/14 What is -5 - (-1169)/231 - 2900/75075? 2/91 What is 7/3*(-1)/1*(-5 + 2)? 7 (-1904)/(-4704) + 4/(-12) 1/14 What is the value of (1*4/(-20))/(22/154)? -7/5 Evaluate ((-157)/(-1256))/((-5)/30). -3/4 What is the value of 19 - 20
{ "pile_set_name": "DM Mathematics" }
0*o + 9 Differentiate 7*b*k**3 - 264*b + 53640*k**3 with respect to b. 7*k**3 - 264 What is the second derivative of -15*o**3*p**4 - 26*o**3 + 2817*o**2*p + 67*o*p**4 wrt p? -180*o**3*p**2 + 804*o*p**2 What is the second derivative of -325527*a**2 - 6162*a + 3 wrt a? -651054 Find the second derivative of -206196*k**2*z + 25*k*z - 580*k + 2*z wrt k. -412392*z Find the third derivative of 50723*q**3*v**3 - 303*q**3 + 2*q*v**3 + 295*v**2 wrt v. 304338*q**3 + 12*q Differentiate -57*q**3 - q**2 + 8474*q + 3177023 wrt q. -171*q**2 - 2*q + 8474 Find the second derivative of 3759*k**4 + 5*k**2 + 47699*k. 45108*k**2 + 10 What is the derivative of -7*c*r**3 - c*r**2 + 5756*c*r + c - 34*r**3 + r**2 + 2*r - 35 wrt c? -7*r**3 - r**2 + 5756*r + 1 What is the second derivative of -35850*f**4 + 7*f + 565 wrt f? -430200*f**2 What is the first derivative of -3*c**2 - 44781*c - 113775 wrt c? -6*c - 44781 Differentiate -21569*y - 12869 with respect to y. -21569 Find the second derivative of -6543*g**4 + g**3 - 3658*g. -78516*g**2 + 6*g What is the third derivative of -18*m**4*o**3 + 5435*m**3*o**3 - 2*m**2*o**3 - 15*m**2*o - 59*m - 6*o**3 wrt m? -432*m*o**3 + 32610*o**3 Differentiate -1120042*d - 2801047 wrt d. -1120042 What is the third derivative of -3*f*u**6 - 11892*f*u**4 - 94560*f*u**2 wrt u? -360*f*u**3 - 285408*f*u Find the third derivative of -906595*c**3*f**3 - 289*c**2*f**3 - 68*f**3 wrt c. -5439570*f**3 What is the derivative of -8819*b**3 + 2*b**2 + 708 wrt b? -26457*b**2 + 4*b Differentiate -38172*y**3 + 290770 wrt y. -114516*y**2 Find the third derivative of -29291*a**2*p**3 - a**2 + 64*a*p**2 + 5*p**3 - 38*p**2 wrt p. -175746*a**2 + 30 Find the third derivative of -32575*p*q**4 + p*q**2 - 20221*p*q + p - 43*q**4 - q**2 - 6 wrt q. -781800*p*q - 1032*q What is the derivative of c*f**2*x + 818*c*f + 2*c*x + 2*f**2*x + f**2 + 761*f*x - 2 wrt c? f**2*x + 818*f + 2*x What is the third derivative of 292023*g**4*h**2 + 28121*g**2*h**2 - 2*g**2 - g wrt g? 7008552*g*h**2 What is the second derivative of -2*n**3*u**2 + 2122*n**3*u - 4*n**3 - 28326*n**2*u**2 + 6*n*u wrt u? -4*n**3 - 56652*n**2 Differentiate 60758*f**4 + 124638 wrt f. 243032*f**3 What is the third derivative of -2437*f**3*q**4 - f**3 - f**2*q**2 + 282*f**2*q - 4*f*q**4 + 29*q**2 wrt q? -58488*f**3*q - 96*f*q What is the second derivative of 6*a**2*d*v*w**2 - a**2*d*v + 190*a*d + 17*a*v*w + 2*d*w**2 - 378*v*w**2 wrt w? 12*a**2*d*v + 4*d - 756*v Find the third derivative of -4*c**5 + 1118*c**4*n**2 + 46*c**2*n**2 + 15*c**2 wrt c. -240*c**2 + 26832*c*n**2 Find the second derivative of -8597*b**5 - 2*b**4 - 146*b**3 + 19*b - 52206 wrt b. -171940*b**3 - 24*b**2 - 876*b Find the second derivative of 13722*i**5 + 22*i**4*u - 77735*i - 2*u wrt i. 274440*i**3 + 264*i**2*u Differentiate 4*b*p*t**2 + 526*b*t**2*z + p*t**2*z + 9*p*t*z - 4*p*z + 188*t**2*z with respect to b. 4*p*t**2 + 526*t**2*z What is the second derivative of -56150*t**2 + 14205*t? -112300 What is the second derivative of -u**3 - 849245*u**2 + 856*u - 73 wrt u? -6*u - 1698490 What is the second derivative of -2*c**5 - 177180*c**4 + 20*c - 433 wrt c? -40*c**3 - 2126160*c**2 What is the second derivative of -29*c**5 - 315*c**2 + 3027*c? -580*c**3 - 630 What is the second derivative of 22*c**3*s + 17*c**3 - 4842*c*s wrt c? 132*c*s + 102*c Find the third derivative of -628174*s**3 + 165589*s**2 - 2*s + 2 wrt s. -3769044 Find the second derivative of 13133*q**3*w**2 - q**2*w**2 + 529*q*w**2 + 4*q*w - 2*w**2 wrt q. 78798*q*w**2 - 2*w**2 Find the second derivative of 20760*y**3 + 28*y**2 + 224*y + 1898 wrt y. 124560*y + 56 What is the derivative of -9*o**2*z**2 - 6066*o**2*z + 72748*o**2 wrt z? -18*o**2*z - 6066*o**2 What is the second derivative of -9*z**3 - 23822*z**2 - 3*z - 8725? -54*z - 47644 What is the first derivative of 118267*k**4 - 131357? 473068*k**3 What is the third derivative of 325*n**3*z**3 + 14*n**3*z**2 - 1243*n**2*z**3 + n**2*z**2 + 6*n**2*z wrt n? 1950*z**3 + 84*z**2 What is the third derivative of -28*y**5 - 224*y**4 + 2*y**3 - 425287*y**2? -1680*y**2 - 5376*y + 12 Find the second derivative of 2*i**3*t - 1495*i**2*t - 32*i**2 + 1429*i*t + 164*t wrt i. 12*i*t - 2990*t - 64 What is the first derivative of 2855861*h**2 + 818074 wrt h? 5711722*h Differentiate -170763*w**3 + 3*w**2 + 1029639 with respect to w. -512289*w**2 + 6*w What is the second derivative of 103779*o**3 - 41883*o? 622674*o What is the third derivative of 4836*w**4 - 3*w**3 - 3*w**2 - 3*w + 2880 wrt w? 116064*w - 18 What is the derivative of 40162*g - 41963? 40162 What is the derivative of -5674*w + 16112 wrt w? -5674 Differentiate 1334*z**4 + 44833. 5336*z**3 Find the first derivative of 758*a*b**3 - 5*a*b**2 + 98078*a + b**3 + 3 wrt b. 2274*a*b**2 - 10*a*b + 3*b**2 What is the second derivative of -4*v**2*x**2 - 624359*v**2*x + 489681*v*x**2 wrt x? -8*v**2 + 979362*v What is the second derivative of 2*a**3*u**2 + 9*a**3*u - 65758*u**4 + 22436 wrt u? 4*a**3 - 789096*u**2 What is the second derivative of 586*p**5 - p**2*v*x - 57*p**2*x + 2*p*v*x - 112072*x wrt p? 11720*p**3 - 2*v*x - 114*x What is the derivative of -49*f**2*y - 21*f**2 - f*y - 2*f + y - 31585 wrt f? -98*f*y - 42*f - y - 2 Find the third derivative of -19321*c**5 + 31450*c**2. -1159260*c**2 What is the second derivative of -9*g**3*p**3 + 2*g**3 - 5*p**4 - 194*p**2 - 1663382*p wrt p? -54*g**3*p - 60*p**2 - 388 What is the first derivative of 2*d*u**2 + 42493*d*u + 2683214*d - u**4 wrt u? 4*d*u + 42493*d - 4*u**3 Find the second derivative of -3584830*s**3 + 4*s - 730656 wrt s. -21508980*s What is the derivative of 2846135*o**3 - 60077? 8538405*o**2 Differentiate -1062688*r + 1835036 wrt r. -1062688 Find the second derivative of -8*x**3 + 15042*x**2 + 88411*x + 4 wrt x. -48*x + 30084 Find the first derivative of -h**2*n + 12152*h**2 - 2*h - 2053058*n - 6 wrt n. -h**2 - 2053058 What is the second derivative of -2*f**3*o + 426*f**3 + 4*f**2*o + 2*f**2 + 894*f*o + 10*f - 2*o + 4 wrt f? -12*f*o + 2556*f + 8*o + 4 Differentiate 213*n**4 - 5*n**3 + 2*n**2 - 234*n + 363042. 852*n**3 - 15*n**2 + 4*n - 234 Differentiate -5546*j**2 - 3*j + 47824 wrt j. -11092*j - 3 What is the second derivative of -139*h**2*k**4 - 543*h**2*k + 4*h**2 + 28*h*k**4 - 2*h*k + 2*k wrt k? -1668*h**2*k**2 + 336*h*k**2 Find the second derivative of 399*i**5 + 2*i**3 - 7*i**2 + 41965*i. 7980*i**3 + 12*i - 14 What is the third derivative of -h**5 + h**4 - 361*h**3 + 33576*h**2? -60*h**2 + 24*h - 2166 Find the second derivative of -2399981*k**5 - 13*k - 8163. -47999620*k**3 Differentiate 30008*q**2 - 2*q + 425087 with respect to q. 60016*q - 2 Differentiate -9*f**3 - 305*f**2 + 26404 with respect to f. -27*f**2 - 610*f Differentiate -92117*p**2 + 49409 wrt p. -184234*p Differentiate 251610*q - 15900 wrt q. 251610 What is the derivative of 17855*c**3*g**2 + 502284*c**3 wrt g? 35710*c**3*g Differentiate 227130*f*s + 261*f - 270 wrt s. 227130*f Find the third derivative of -692154*n*u**6 - 2*n*u + 183*n + 11*u**2 + 32*u wrt u. -83058480*n*u**3 What is the first derivative of -33836*i*y - 217543*y wrt i? -33836*y What is the first derivative of 200944*c + 154162? 200944 Find the first derivative of -122833*m + 269667 wrt m. -122833 Find the third derivative of 353918*v**3 - 4*v**2 + 231095. 2123508 Find the second derivative of -8*h**4 - 6132*h**3 - 2*h**2 + 331*h - 641. -96*h**2 - 36792*h - 4 What is the second derivative of -11327*h**2*q**3 + 2*h**2*q + 1743*h**2 + 3*h*q - 3*h wrt q? -67962*h**2*q Find the third derivative of -18011*d**3 - 4*d**2 + 41*d - 5 wrt d. -108066 What is the derivative of 3*s**3 - 15599*s + 2203988? 9*s**2 - 15599 Find the second derivative of a**5 + 1079392*a**4 + 858007*a wrt a. 20*a**3 + 12952704*a**2 What is the derivative of 4*c**2*v - 8*c**2 + 6*c*v - 3214*c - 749*v - 5 wrt v? 4*c**2 + 6*c - 749 Find the second derivative of a**3*b**2*n**2 + 3*a**3*b*n + 6*a**3*n + 46198*a**2*b**2*n + a**2*b*n + 2*a**2*n**2 - 41*b*n wrt b. 2*a**3*n**2 + 92396*a**2*n Find the second derivative of -1584*b**2*l*o**2 + 4*b**2*o**3 - 20*b*l*o**3 - 2*b*o**3 - 15*b*o + l wrt b. -3168*l*o**2 + 8*o**3 What is the third derivative of 37607*k**5*v + 3*k**2 + 15529*k*v wrt k? 2256420*k**2*v Find the second derivative of 1416*
{ "pile_set_name": "DM Mathematics" }
Simplify 3*((2*sqrt(392)*-6)/(sqrt(21)/sqrt(3)*6))/(1*(4*1*sqrt(392) - sqrt(392))). -2*sqrt(7)/7 Simplify ((sqrt(270)*-2*1 + sqrt(270))*2)/(sqrt(60)/sqrt(24) + (sqrt(40)*1 - sqrt(40))). -12*sqrt(3) Simplify ((sqrt(637) - -1*sqrt(637)) + sqrt(637) + -2 - 2*sqrt(637)*-4 - (0 + sqrt(637) + 1 + 5))**2. -1120*sqrt(13) + 63764 Simplify ((sqrt(363)*2*-2 + -2*sqrt(363)*-3 + sqrt(363))*-1 + -4)**2. 264*sqrt(3) + 3283 Simplify (3*6*-1*sqrt(12)*-5)/(-6*sqrt(96) - 1*sqrt(150)). -90*sqrt(2)/29 Simplify 3 + (-2 + (2 + sqrt(6050) + 1 - -6*(-1 + sqrt(6050))))**2 + -5. -3850*sqrt(2) + 296473 Simplify ((2*sqrt(384) + sqrt(600)*-1)*3)/(-6*(sqrt(588) + sqrt(588)*2) - ((sqrt(588) - sqrt(588)*-1)*-2 + sqrt(588))). -3*sqrt(2)/35 Simplify (-3*(1*sqrt(432)*-3 - 1*(sqrt(432) - (sqrt(432) + -1))) - ((3*sqrt(75)*-2 - sqrt(75)) + -5 + 1 + sqrt(75) + 4))**2. 828*sqrt(3) + 57141 Simplify (5*(sqrt(156)/(sqrt(24)/sqrt(2) + sqrt(12)) + (2 + sqrt(52))**2) - (sqrt(390)/(sqrt(30)/sqrt(3)))/(sqrt(6)/sqrt(2)*-3))*-5. -1400 - 1285*sqrt(13)/6 Simplify ((-1 + sqrt(128))*-6)**2*-2 + sqrt(72)/sqrt(9) + (sqrt(2) - (3*sqrt(72))**2). -9936 + 1155*sqrt(2) Simplify -3*(sqrt(567) - (1*3*sqrt(567) - sqrt(567)))**2 + -4*((sqrt(7) - sqrt(21)/sqrt(3) - sqrt(7))*-5 + (sqrt(56)*2 + sqrt(56))/sqrt(8)). -1701 - 32*sqrt(7) Simplify 4*((sqrt(209) + (sqrt(209)*-2 - sqrt(209))*6 + sqrt(209) + sqrt(209))/(sqrt(11) + sqrt(539)*-1) + -2 + (-1*sqrt(2736)*-6 + sqrt(2736))**2). 10*sqrt(19) + 536248 Simplify 1*(1 + -3 + sqrt(21)/(-3*sqrt(7)) + -1 + (sqrt(18)/sqrt(6))**2 + sqrt(3) + -5 + 2). -3 + 2*sqrt(3)/3 Simplify -2*(-1 + (sqrt(208) - (2*sqrt(208)*-4)**2) + sqrt(208)) - (4 + 1 + (3*(sqrt(208) + 2) - sqrt(208)))**2. -192*sqrt(13) + 25673 Simplify 1 + -1 + 3 + 1 + (-3 + sqrt(500))**2 + -4. -60*sqrt(5) + 509 Simplify (sqrt(91)*2*6 - (-3*sqrt(91)*4 + sqrt(91)))/(((sqrt(168)/sqrt(4))/sqrt(6) + (sqrt(448) - (sqrt(448)*1 - sqrt(448)) - sqrt(448) - sqrt(448)))*-4). 23*sqrt(13)/28 Simplify (-1*(sqrt(8) + sqrt(88)/sqrt(11)) - ((2*sqrt(32))**2 + 1)) + -5. -134 - 4*sqrt(2) Simplify 1 + (((-1*sqrt(1900) - sqrt(1900) - sqrt(1900))*-2 - (sqrt(1900) + -1 + sqrt(1900) + 0 - sqrt(1900)) - 1*(sqrt(1900) + 1 + 5))*4)**2. -6400*sqrt(19) + 486801 Simplify (-6*2*sqrt(70)*2*-5)/(sqrt(360)*-2*-3*3). 10*sqrt(7)/9 Simplify 3 + (-1*sqrt(1215))/sqrt(5) + ((2*sqrt(21))/sqrt(7) - (-1 + sqrt(9)/sqrt(3))) + -5. -8*sqrt(3) - 1 Simplify 0 + (sqrt(112) + 1 + sqrt(112) - (sqrt(252)/sqrt(4))/sqrt(9)) - (-1 + (sqrt(700)*2*-6)**2). -100798 + 7*sqrt(7) Simplify (sqrt(6000) + (sqrt(6000) + sqrt(6000)*-3 + sqrt(6000))*-2 + sqrt(6000))/(-4*(sqrt(588) - -5*sqrt(588) - sqrt(12))). -10*sqrt(5)/41 Simplify (1*(-3 + 5*-1*(sqrt(125) + -2)*-6))**2. -18900*sqrt(5) + 116469 Simplify -3*sqrt(432) - (-4 + sqrt(21)/sqrt(7))**2 - (-5 + (sqrt(147) - (-2 + 1*sqrt(147)))). -28*sqrt(3) - 16 Simplify ((-1 + sqrt(539) + 0 - (sqrt(539) - (sqrt(539)*2 - sqrt(539)))*5)*6 - -5*6*(1*sqrt(539) + 0))**2. -3024*sqrt(11) + 698580 Simplify 2 + 5 + (5 + -1*(sqrt(7) + 2))**2 + ((2 + sqrt(343))**2 - (-4 + 0 + sqrt(7))). 21*sqrt(7) + 374 Simplify (-6*(sqrt(143)*-2 + sqrt(143)))/((sqrt(550) + sqrt(22))/sqrt(2) + sqrt(11)) + -4 + (-6*-1*sqrt(117))/(-1*sqrt(9)*-5). -4 + 72*sqrt(13)/35 Simplify (-2 + sqrt(117) + sqrt(117) + -5 - (1 + sqrt(117) + -1))**2 + -3*(((sqrt(1573)*-1 - sqrt(1573)) + sqrt(1573) + sqrt(1573))*-2 + 2)**2. -42*sqrt(13) + 154 Simplify ((4*sqrt(204)*-5 + 6*(-3*sqrt(204) - sqrt(204) - sqrt(204)) + sqrt(204))/(3*sqrt(12)*-5 - (sqrt(36) + sqrt(36) + sqrt(396)/sqrt(11))/sqrt(3)))**2. 40817/324 Simplify -4*(((-2*sqrt(720))**2 + 1)*5 + -5*-1*sqrt(55)/(sqrt(11) + (-2*sqrt(11) + sqrt(11) - sqrt(11)))). -57620 + 20*sqrt(5) Simplify -4*((sqrt(187)*3*2)/(sqrt(33)/(sqrt(3) + sqrt(18)/sqrt(6))) - (((2*sqrt(306))/sqrt(9))/sqrt(2) - -1*sqrt(68)*-1))**2. -9792 Simplify ((1*2*(sqrt(8) - (3*sqrt(80))/sqrt(10)))/(-5*(sqrt(32)/sqrt(8) - sqrt(4)) + sqrt(20)/sqrt(320)))**2. 2048 Simplify -3 + 1 + (sqrt(325) + 1 + 2 - (sqrt(117) + 0 + sqrt(104)/(sqrt(8)*-2))). 1 + 5*sqrt(13)/2 Simplify 4 + 4*(sqrt(162) + -2)**2 + (1*sqrt(20)*-1)/(sqrt(40)*5). -1441*sqrt(2)/10 + 668 Simplify (-1*(sqrt(50) - sqrt(200)*-2)*3)/(3*sqrt(160) - sqrt(10)*-1*3). -sqrt(5) Simplify (-1 + 5*sqrt(425)*1)**2 + (sqrt(136)/sqrt(8))**2 + 1 + sqrt(119)/(sqrt(7)*-1). -51*sqrt(17) + 10644 Simplify (sqrt(7) - (sqrt(35)/sqrt(5) + 2) - (4*(-2 + sqrt(7)) - sqrt(7)))*6 + (-1*sqrt(504))/(sqrt(392) + 1*sqrt(392) - sqrt(392)). -129*sqrt(7)/7 + 36 Simplify (-3 + (sqrt(1323) - sqrt(1323)*-1*-3) - ((sqrt(1323) + 1)*-6 + 1*sqrt(1323)*4))**2. 9 Simplify 2*4*(-4 + ((sqrt(1331) + (sqrt(1331) - sqrt(1331)*-2))*3 - (-4*(sqrt(1331) + sqrt(1331) + -2 + sqrt(1331)) - sqrt(1331))) + -3 + -1)**2. -70400*sqrt(11) + 6657048 Simplify -5*(3 + 1*sqrt(272)) + -3 + ((sqrt(272) - -4*(sqrt(272)*-2 + sqrt(272)))**2 - (-4 + sqrt(272)*-1)**2). -52*sqrt(17) + 2142 Simplify (sqrt(2448)*-1 + 5)**2 + ((-1 + sqrt(1377))**2 + sqrt(1377))*4 - (-3*sqrt(204) - sqrt(51))/(-5*-1*sqrt(3)). -773*sqrt(17)/5 + 7985 Simplify (2*-5*(1 + sqrt(192) + -2 - (sqrt(192) - (sqrt(192) + (sqrt(192) - (sqrt(192) + -1*sqrt(192) + sqrt(192))) + sqrt(192) + 0)))*-5*-4)**2. -1280000*sqrt(3) + 30760000 Simplify ((sqrt(136)*-3*-1 + ((sqrt(136) + 1*sqrt(136))*-2 - sqrt(136)))*6)/(-3*(4*sqrt(800)*1 + sqrt(800)*2*6)). sqrt(17)/40 Simplify -4*(((2*sqrt(500) - sqrt(500)) + sqrt(500))**2 - ((sqrt(125)*2)**2 + sqrt(5))) + ((sqrt(495)*-2)/sqrt(9))/((sqrt(11) + sqrt(33)/sqrt(3))*6). -6000 + 23*sqrt(5)/6 Simplify (5*sqrt(108)/(sqrt(18)/(sqrt(2)*-1)) - (3 + sqrt(768) - (sqrt(300) + sqrt(12) + -2)))**2. 140*sqrt(3) + 613 Simplify (-3 + sqrt(891) + 2*sqrt(891))**2*-6*-6 + (1*(sqrt(11) + 1) - (0 + sqrt(11))*-3)*2. -5824*sqrt(11) + 289010 Simplify (0 + sqrt(8) + -2*(sqrt(18) - sqrt(2)) - (5 + sqrt(2)*2 + 2) - (4 + 1 + sqrt(200) + 0))**2. 336*sqrt(2) + 536 Simplify ((sqrt(152) + 3*((sqrt(152) - (sqrt(152)*3 + sqrt(152))) + sqrt(152)))/((sqrt(32) + sqrt(8))*-1) - 6*sqrt(114)/(sqrt(24)/sqrt(4))*-2*2)**2. 112651/9 Simplify (-1*(sqrt(187) + sqrt(187)*2*-3))/(6*sqrt(110)/(sqrt(10)*-2 - sqrt(10))). -5*sqrt(17)/2 Simplify (-5*-4*6*(sqrt(1377)*2*3 + 5*1*sqrt(1377))*6)**2. 86374252800 Simplify -5*(2 + -4 + (sqrt(300) + -4 + sqrt(300)*1 + sqrt(300))*4)**2*4. -870480 + 86400*sqrt(3) Simplify (sqrt(16)/sqrt(8)*4 + 0 + 1 - (-2 + ((sqrt(12) + (sqrt(72)/sqrt(6) - sqrt(12)))*4)/sqrt(6)))**2. 9 Simplify (2 + 0 + -2 + 3*sqrt(76) + 5 + sqrt(2299) + 0)**2. 170*sqrt(19) + 5516 Simplify ((0 + sqrt(102)/(sqrt(6) + sqrt(6)*-2) + -4 + (sqrt(17) - sqrt(34)/sqrt(2)))*5)**2 + (0 + 5 + -1 + sqrt(1088) + sqrt(1088))**2 + 0. 328*sqrt(17) + 5193 Simplify ((sqrt(156) - -3*-1*sqrt(156)) + sqrt(156) + sqrt(156) + (-1*sqrt(156) + sqrt(156))*-6)/(sqrt(36)/(sqrt(3) + sqrt(75)*-2)*4) + -2. -2 Simplify (-1 + (-2*sqrt(304))**2 - (2*1*sqrt(304))**2 - (5 + sqrt(19)*1 + (sqrt(19) - ((sqrt(76) - 4*sqrt(76))/sqrt(4))**2)))*6. -12*sqrt(19) + 990 Simplify (((3*(sqrt(468) - sqrt(468)*2))/(-2*sqrt(9)*-6))/(sqrt(432)/(sqrt(363)*-2)))**2. 1573/144 Simplify 3*-4*-1*-3*2*((sqrt(315)*-1)/sqrt(7) - sqrt(270)/(sqrt(6)*1)). 432*sqrt(5) Simplify 2 + -6*((5 + -2*sqrt(45)/sqrt(9)*-6)**2 + 0). -4468 - 720*sqrt(5) Simplify (((sqrt(72) + 3*(1*sqrt(72) + sqrt(72)))*1)/(sqrt(42)/((sqrt(7) - sqrt(112)) + sqrt(7))*-1)*2)**2. 9408 Simplify -4 + (4 + sqrt(500)*2)*4 + (sqrt(10)/sqrt(2) + 2 - sqrt(15)/sqrt(48))**2 + -3*sqrt(80)*-2. 301/16 + 107*sqrt(5) Simplify 4*((5*(sqrt(3) + 1 + sqrt(3)) - sqrt(27)*-2) + (sqrt(4320) + sqrt(4320)*2)/sqrt(10) - (3 + -4*sqrt(27)/(sqrt(9) + sqrt(63)/(sqrt(21)/sqrt(3))))). 8 + 216*sqrt(3) Simplify ((-2*sqrt(125)*3 - (0 + (sqrt(125) - 2*sqrt(125)) + sqrt(125) + sqrt(125))) + 1 + -6*(sqrt(125) - 2*sqrt(125))*6*6 + 3)**2. 8360*sqrt(5) + 5460141 Simplify (1*(sqrt(567) - sqrt(567)*2))/(sqrt(54)/((sqrt(72) + (sqrt(72) - sqrt(72)*-6))/sqrt(12))). -24*sqrt(7) Simplify 4*(-1*sqrt(2401))/sqrt(7) + -3*-3*sqrt(14)/sqrt(2)*-5. -73*sqrt(7) Simplify (sqrt(56) - sqrt(224)/sqrt(4)*6 - sqrt(3584)*2)/(sqrt(80)/(-5*-2*sqrt(10))*-3). 70*sqrt(7) Simplify (2*((sqrt(288) + -1)*1 + (sqrt(288) - (-1 + sqrt(288))*5) + 3 + 0) + 4)**2. -2592*sqrt(2) + 10692 Simplify (sqrt(132)*2*4 + (sqrt(132) - 2*sqrt(132)*6) + sqrt(132))/((sqrt(192) + sqrt(192)*-1)*-6 - (sqrt(192) + -1*
{ "pile_set_name": "DM Mathematics" }
c Let d = -4 - 7. Which is the closest to d? (a) -0.3 (b) 1 (c) -5 c Suppose -4*h = -2*q + 8, -h + 3*q = 10 - 3. Let y = -2.1 - -0.1. Let d = 0.1 - 0.2. What is the closest to 0.2 in d, y, h? d Let x = 0.1 - 0. Let s = -3.1 + 1.1. Which is the closest to 2/9? (a) s (b) 4 (c) x c Suppose -s - 2*j = j - 10, 5*j - 20 = 0. What is the nearest to 0 in s, 5, -4? s Let r = -0.68 + 0.18. Suppose -2*d = -d + 3. Which is the closest to -2? (a) 4/3 (b) r (c) d c Let j = -2 + 6. Let h = 55 - 166/3. Which is the closest to 0? (a) -1 (b) h (c) j b Suppose 5*h = 7*h - 2. Which is the nearest to 2/3? (a) 7 (b) -2/7 (c) h c Let y = -58.5 + 58. Which is the nearest to -1/2? (a) y (b) 2/9 (c) -0.3 a Let s = 0.02 - -0.98. Let w(f) = -f + 8. Let d be w(8). Which is the closest to d? (a) 3/2 (b) 5 (c) s c Let r = 0.4 - 0.5. Let q = 2.4 - 1.4. What is the nearest to r in 3, q, -0.5? -0.5 Let v = -325/6 + 54. What is the closest to -1 in 0.4, -0.5, v? -0.5 Let b = -2 - -2. Let h be (b - 1) + (-4)/2. Let y = 0 - 1. What is the closest to y in 0.3, -3/2, h? -3/2 Let f = -0.021 + -0.039. What is the closest to 2 in -0.4, f, 0.2? 0.2 Let h = -418/5 - -83. Which is the closest to -9? (a) h (b) 0 (c) -4/7 a Let p = -0.1 - 0.02. Let m = -0.2 + 0.18. Let d = p - m. Which is the nearest to 1/2? (a) 2/9 (b) d (c) -0.3 a Let p = 4 - 9. Let k = -0.1 - 1.9. Which is the nearest to k? (a) 4 (b) p (c) 0.4 c Let j be 1/(-2) + (-10)/20. Let b = 3.07 + -0.07. Let w be 3/(-33)*2 + 0. What is the nearest to 0.1 in j, b, w? w Let x = 96 - 92. Which is the closest to 15? (a) -0.1 (b) 0.5 (c) x c Let k = -0.8 + -8.2. Let v = k - -10. What is the nearest to v in -0.1, 5, 0? 0 Let y = 85 - 80. Which is the nearest to -2/5? (a) 4/7 (b) y (c) -1/4 c Let w = -0.35 - -7.35. What is the closest to 0 in 4/5, 5, w? 4/5 Let j = 878 - 599. Let x = j + -3067/11. Let k = 0.02 + -0.32. Which is the nearest to x? (a) k (b) -2 (c) 2/9 c Suppose -4*x + 6 = 10. Which is the nearest to x? (a) -0.3 (b) -0.2 (c) -0.4 c Let k be 16/(-10)*(-16)/(-68). Let w = k + 3/17. What is the nearest to -2/5 in 0, w, -1? w Let n = 26/21 + -18/7. Let k = 4.5 + -4. Let p = k + -0.1. What is the nearest to -3 in n, -1, p? n Let y be (3/28)/((-2)/8). Which is the closest to 0.1? (a) -0.5 (b) y (c) 6/11 c Let d = 7 - 9. Which is the nearest to 0.1? (a) 2/3 (b) d (c) 5 a Let h = 41.4 - 41. Let d = 2.05 + -0.05. Which is the nearest to -2/5? (a) -2 (b) d (c) h c Let q = -0.34 - 0.06. Let k = -2/7 + 20/21. Which is the closest to k? (a) 1/6 (b) q (c) 0.4 c Let c = 205 - 204.2. What is the nearest to 0 in c, 0, 5? 0 Let w = 1.7 - 1.4. What is the nearest to -0.2 in -3, w, -0.1? -0.1 Let l be 6*(-6)/(-9)*(-13)/(-52). Let i = -0.2 + 0.1. Which is the closest to i? (a) l (b) -3 (c) 2 a Suppose 2*y - 10 = -0*y + 2*c, 0 = -y - c + 5. What is the nearest to 2 in 0, y, -5? 0 Let d = -1.21 + 0.71. What is the nearest to -1/2 in -0.05, 2/7, d? d Let o be (-6)/(-8) - 78/168. Which is the nearest to o? (a) 3 (b) 1.7 (c) -0.1 c Let g = -3.21 + -0.79. Which is the nearest to -2/9? (a) g (b) 0 (c) 3/2 b Let p = 0.3 + 0.2. Let d = -0.7 + 0.4. Let t = 3.6 - -0.4. What is the nearest to 1/3 in t, d, p? p Let d = -0.04 + 0.14. Let m(q) = q**3 + 3*q**2 - 6*q - 5. Let x = -13 - -9. Let h be m(x). Which is the nearest to d? (a) 0.2 (b) h (c) -1/4 a Let l be 25/20 - 2 - -1. Which is the nearest to 0? (a) -3 (b) 2 (c) l c Let d = -47 - -47.1. What is the nearest to d in -4, 7, -4/3? -4/3 Let j = 10.5 + -10. Let m = j + 0. Let u = 0 + 0.1. What is the nearest to -1 in m, -2, u? -2 Let n = -0.03 - 0.27. Let x be 4/16 - (1 - 4/(-8)). What is the closest to n in -4/7, x, 2? -4/7 Let d = 295/1057 - -1/151. Let x = -1.12 + 3.12. Which is the closest to d? (a) -2 (b) 4 (c) x c Let l be (-43)/3 + (-2)/3. Let j = l + 107/7. Let m be 0 - -1 - (-9)/(-3). Which is the nearest to 1/5? (a) m (b) 0.3 (c) j c Let n = -0.16 - -0.06. Let l = -133/4 - -34. Let k = -824/2835 + 2/405. Which is the nearest to n? (a) 4 (b) k (c) l b Let s = 2.94 - -0.06. Let q = s - 5. Suppose 24 = -4*v + 4*u, -3*v - 2*u = u + 12. What is the nearest to q in -0.4, 5, v? -0.4 Let j = -0.0444 + 67.4444. Let q = j - 62. Let k = -5 + q. What is the nearest to 1 in k, 2/15, 3/2? 3/2 Let h = 141.2 + -141. Let m be (-5)/(-2)*(-1)/5. Which is the closest to h? (a) m (b) 3 (c) -2/3 a Let x be 2 - ((-64)/(-12))/4. Which is the closest to 1? (a) 0.2 (b) x (c) 0.5 b Let m = 0.94 + -0.54. What is the closest to 1 in m, 1, 0? 1 Let x = 35 + -22. Suppose 6*s + 11 + x = 0. Which is the closest to -0.1? (a) 1/3 (b) s (c) -8 a Let p = -2/67 + 140/201. Let w = -8 - -6. Let m = 179 + -179.1. Which is the nearest to 0? (a) w (b) m (c) p b Let m = -0.06 - -5.06. Which is the nearest to 1? (a) -5 (b) 4 (c) m b Let p = -43 - -85/2. Which is the closest to -1? (a) 5 (b) p (c) 0.1 b Suppose q - 3*l - 8 = -3, -5*q = -3*l - 13. Let o be (-3 - -1)*q/(-4). Which is the nearest to o? (a) 0.3 (b) -1/3 (c) 5 a Suppose 47*w - 51*w - 12 = 0. What is the closest to -2/9 in -0.5, w, 1? -0.5 Let m = 29 - 23. Let g = 1067/7 - 152. What is the nearest to -2/5 in m, -2, g? g Let f = 3 - -2. Let p = 6 - -2. Let n = 11 - p. What is the nearest to -2/9 in n, f, -0.3? -0.3 Suppose -2*a + 8*a = 0. What is the nearest to a in 0, 0.5, -5? 0 Let y = -4.4 - -3.2. Let o = 78.2 + -72. Let g = o + y. Which is the nearest to 0.1? (a) g (b) -0.5 (c) 4 b Let w = 0 + 1. Let s = 0.01 + -5.01. Let p be (3/1)/((-42)/(-56)). What is the closest to w in p, s, -1? -1 Let y be (9 + -14)/(-1 + 0). Which is the nearest to 0.2? (a) 3 (b) y (c) 2 c Suppose 0 = 3*r - r + 642. Let v = -4817/15 - r. What is the closest to 2/3 in v, -2/11, 4? v Let u = 136 - 138. Let q be 1 + ((-33)/(-39) - 2). What is the nearest to u in 5, q, -0.2? -0.2 Let h be (0 + (2 - 4))/9. Let k be (0 + 1)*(1 + 3). Which is the nearest to h? (a) -1/4 (b) k (c) -0.4 a Let x = 879 + -14091/16. Let f = x - -211/144. Which is the nearest to 2? (a) -1 (b) f (c) -1/3 b Let x = -2 - -7. Let g = 2/401 + -824/4411. Which is the nearest to -1? (a) -5 (b) x (c) g c Suppose -3*l + 4*l = 3. Let f = 11 - 11. What is the nearest to -1/3 in l, f, 0.2? f Let u = 7 - 7. Which is the nearest to u? (a) 5 (b) 2/7 (c) 0.4 b Let t = -0.38 + 0.48. Suppose 3*h = 3, -1 = -0*d - 2*d + 3*h. Which is the closest to -0.1? (a) d (b) -1/6 (c) t b Suppose 0*n = 4*n. Let j = 3 - 2.9. Which is the nearest to 2/5? (a) j (b) n (c) 5 a Let t = 0.5 - 1. Let j = -7.8 + 8. Let q = 1.1 - 5.1. Which is the closest to j? (a) q (b) -3/7 (c) t b Let w = -66 - -93. Let h be (-4)/6*w/21. Which is the nearest to -1? (a) h (b) 1 (c) -5 a Let g = 87 + -117. Which is the nearest to -0.1? (a) 2 (b) g (c) -3 a Let p = 12.9 + -12. Let g = 1 - p. What is the nearest to g in -2, -2/11, -0.1? -0.1 Let a = -0.7 + -0.3. Let i = -15 + 10. Let c(l) = 4*l**2 - 3*l + 4. Let v be c(1). What is the nearest to -0.1 in i, v, a? a Let d = -50 - -52. What is the nearest to -0.2 in d, -4, -0.07? -0.07 Suppose 2*q - o + 3 = 4, 0 = q + 5*o - 17. Let v = -4.8 + -0.2. What is the nearest to -2/3 in 4, v, q? q Let i = -170 - -3918/23. Let w = i - 95/207. Let q = 0 + 2. Which is the closest to -0.2? (a) -1/2 (b) w (c) q b Let s = 0.47 + -0.57. What is the closest to s in -1/2, -0.2, -4? -0.2 Let j = 23 + -26. Which is the nearest to -0.2? (a) -1 (b) 0 (c) j b Let x be (-22)/7 + 7 + -4. Which is the nearest to x? (a) -0.2 (b) 4 (c) 1 a Let f = -1/6 + 2/3. Let h = -77192/2513 + 1/359. Let j = h - -31. What is the closest to f in j, 5, 3/5? 3/5 Let l = -0.6 - 5.4. Let v = l + 8. Let i = -2.5 + v. Which is the nearest to 1? (a) -3 (b) -0.3 (c) i b Let o = 0.04 - -0.05. Let j = 0.29 - o. Let l be (-4)/(-18) + (-28)/45. Which is the closest to 1/2? (a) j (b) 0.4 (c) l b Let m(l) be the second derivative of -l**5/20 - l**3/6 - 6*l. Let k be m(0). Which is the nearest to k? (a) -2/3 (b) 4 (c) 0.5 c Let s = 2 + 2. Which is the closest to -0.1? (a) 5 (b) s (c) -2 c Let o = -60 - -70. Which is the closest to 0.1? (a) o (b) -0.1 (c) 4 b Let d = 7 + -8. Which is the closest to d? (a) -2/3 (b) -0.2 (c) 3 a Let m = -3 +
{ "pile_set_name": "DM Mathematics" }
x, -5*x - 34 + 11 = -3*m. Calculate the greatest common divisor of m and 88. 11 Suppose 0 = 8*l - 2945 - 319. Let x = 438 - l. What is the highest common factor of x and 170? 10 Suppose -11*i + 6 + 115 = 0. Suppose -4 = 22*o - 23*o. Suppose 8*y + o = 12*y. What is the highest common divisor of i and y? 1 Let o = 270 - -50. Suppose 0 = -2*j + 5 + 3. Suppose l - 160 = -j*l. Calculate the greatest common divisor of o and l. 32 Let a be (-2)/10*(-1000)/(-150)*-60. Let d be (0 + -1)*0/2. Let n = d - -16. What is the greatest common factor of n and a? 16 Suppose 0 = 6*n + 3*n - 9. Let i be n/4 - (-243)/36. What is the highest common divisor of 119 and i? 7 Let n be (-9 - -6) + (-5)/((-15)/252). Let a = n + -77. Suppose 2*c + 10 = 0, -3 = -3*v - a*c + 1. What is the greatest common factor of 1 and v? 1 Suppose 3*h + 2*h - 3*u - 147 = 0, 0 = -2*h - 4*u + 64. Calculate the greatest common divisor of 1185 and h. 15 Let g be -4*(-5 + 296/(-16)). Let f = 382 - g. Calculate the greatest common factor of f and 18. 18 Suppose -i + 113 + 30 = 0. Let a = i + -130. What is the highest common divisor of 39 and a? 13 Suppose 59475*l + 27600 = 59491*l. What is the highest common divisor of l and 120? 15 Let u(j) = j - 11. Let z be u(14). Let s be (-4)/z - 155/(-15). Suppose 0 = -s*g + 5*g + 60. What is the highest common divisor of 5 and g? 5 Let o = 6 - 4. Let s(g) = 9*g**2 + 1. Let k(c) = -36*c**2 - 4*c - 4. Let j(u) = k(u) + 5*s(u). Let q be j(o). Calculate the greatest common divisor of q and 58. 29 Suppose -o = -5*z + 3842, -z = -0*z + o - 766. Suppose -5*q + 5*q = -v - 3*q + 36, 2*q + 8 = 0. Calculate the highest common divisor of v and z. 48 Suppose 1496 = k + k. Let w be ((-9)/(-5))/(3/105) + (-25)/(-5). What is the greatest common divisor of k and w? 68 Let x = -31 - -27. Let b be (-3 - (-4)/x)/(-4) - -2. Suppose 5*s = 4*h + 102, -b*h - 16 = 2*s - 3*s. Calculate the greatest common factor of 2 and s. 2 Let r be (-13)/(221/(-170))*8. What is the highest common divisor of r and 385? 5 Let d be 6/21 + (2166/14 - 2). Suppose -n + 35 = 2*c, 18 = 4*c - 2*n - 56. What is the highest common divisor of c and d? 9 Suppose 5*x + 20*d - 25*d = -5, 5*x - 45 = -5*d. Suppose x*f = -o + 43, -9*f + 12*f + 36 = o. What is the greatest common divisor of 13 and o? 13 Let t(x) = -685*x**2 - 110*x - 10. Let v(q) = -57*q**2 - 9*q - 1. Let m(y) = 2*t(y) - 25*v(y). Let g be m(-1). What is the greatest common divisor of g and 44? 11 Suppose 0 = -2*o + 3*o - 70. Let z(d) = d**2 - 79 + 86 + 42*d - 12*d. Let i be z(-30). What is the highest common factor of i and o? 7 Suppose 4*d + i - 887 = 0, 18*d + 3*i = 21*d - 639. What is the greatest common factor of d and 4? 4 Suppose g - 3*p = 1684, -59*g + 5092 = -56*g + p. What is the greatest common factor of 742 and g? 106 Suppose 0 = -5*g - a + 121, -398*a + 397*a - 129 = -5*g. Calculate the greatest common factor of g and 43. 1 Let m be 4122/(-27)*(-6)/(-4). Let q = m + 501. What is the highest common factor of 16 and q? 16 Let v = -18 + 33. Suppose -20*w + 23*w = v. Let f = w + 16. What is the greatest common divisor of f and 168? 21 Let v be 0/(-1) + (2 - -3). Suppose 7*p - 234 = 11. Suppose 0 = -56*z + p*z + 1155. Calculate the highest common factor of z and v. 5 Let k be 44538 + 104/4 - -1. What is the highest common factor of k and 15? 15 Suppose -44*y + 33*y = -264. Let m be (175/15)/(8/y). Calculate the highest common divisor of 175 and m. 35 Suppose -616 = 241*n - 245*n. Calculate the greatest common factor of 966 and n. 14 Suppose -3*r + 136 = 2*f, -3*r + 135 = -0*r + 3*f. Suppose -28 = -2*i, 2*i - 758 = h - 1144. Calculate the highest common divisor of h and r. 46 Suppose -4*t + h + 25 = 0, t + 40 = 4*t - 5*h. Suppose -3*c - t = -4*c. Let a(m) = 36*m + 23. Let s be a(c). What is the greatest common factor of s and 29? 29 Suppose 4*x - 14*x + 140 = 0. Suppose 2*v + 6*y - 4*y - x = 0, 3*v = -5*y + 19. Calculate the greatest common factor of 128 and v. 8 Suppose 5*f - 7 = 203. Calculate the greatest common factor of 216 and f. 6 Let d = -4306 + 7935. Calculate the highest common divisor of 19 and d. 19 Let k = -20 + 24. Let c = -501 - -537. What is the greatest common divisor of c and k? 4 Let w(s) = -s**3 + s**2 - s - 1. Let r be w(-1). Suppose r*j = 66 - 4. What is the greatest common factor of 279 and j? 31 Let b = 65452 + -65389. Let h(l) = 36*l**2 - l + 1. Let u be h(1). What is the greatest common factor of b and u? 9 Let q be (-1)/(12/8*2/(-69)). Suppose 7*p + 4*l - 16 = 5*p, -q = -p + l. Calculate the greatest common divisor of 27 and p. 9 Let u be -355 + -10 + 7 + 0/2. Let v be 3/24*2 - u/8. Let o = 1 + 4. Calculate the greatest common factor of o and v. 5 Let w be 4/(-2) + 0 + 9. Let a(r) = r**3 - 10*r**2 - 96*r + 406. Let t be a(15). What is the highest common factor of w and t? 7 Let t = -606 - -4418. Suppose -t = -10*x + 6458. Calculate the greatest common divisor of x and 13. 13 Suppose 0*f = -5*w + 3*f - 139, -4*w - 2*f - 98 = 0. Let p = 70 - w. Calculate the greatest common divisor of 256 and p. 32 Let c = 0 - -4. Suppose q + 10 = c. Let w be 75/6 - (-3)/q. What is the highest common divisor of 4 and w? 4 Let d(w) = -3*w**3 + 8*w**2 + 3*w + 4. Let m be d(3). Let v be 7 + 46 + (5 - m). Calculate the highest common factor of 3 and v. 3 Let k(i) = 8*i**3 + 6*i**2 - 9*i + 2. Let p be k(-5). Let u = p - -914. Calculate the highest common factor of u and 185. 37 Suppose 38*u - 386 = -1716. Let b(h) = 2*h**3 + 72*h**2 + 71*h + 43. Let a be b(u). What is the greatest common divisor of 216 and a? 8 Let w be -1*(1 - 0 - (4 + 3)). Let c(k) = -3*k**3 + 24*k**2 - 19*k - 7. Let x be c(w). What is the highest common factor of x and 1045? 95 Let u = -3 - 26. Let k = -21 - u. Let w(x) = -2*x**3 - 3*x**2 - 4*x - 11. Let g be w(-3). What is the greatest common divisor of k and g? 4 Let t(q) = 5*q + 1. Let k be t(-1). Let a = 2 - k. Let b = 423 - 414. What is the highest common factor of a and b? 3 Suppose 2*z = -n + 18 + 31, -2*z - 5*n = -29. What is the highest common factor of z and 783? 27 Let w be ((-436)/8 - 7)*(-7944)/36. What is the greatest common factor of w and 41? 41 Let f(b) = -5*b**2 - 95*b + 32. Let w be f(-19). What is the highest common factor of w and 4976? 16 Let t = -9024 - -9475. Calculate the greatest common divisor of t and 671. 11 Let g be -2 - -10 - (-16 + 11). Let h(f) = -17*f + 2 + 3*f - 4. Let c be h(-2). What is the greatest common factor of g and c? 13 Let g = 1417 + -937. Let q = -27003 + 27063. What is the greatest common factor of q and g? 60 Suppose 4*b = -96 + 168. Suppose -5*v + 5*i + 28 = -32, 0 = -3*v - 3*i + b. Let g be 2*-2 - (13 - 116). What is the greatest common divisor of g and v? 9 Suppose 3*a - 109 - 24 = 5*h, -h - 41 = -a. Let g be (a/(-15))/4*-15. Let f = -83 + 128. What is the highest common factor of g and f? 9 Let p = -704 + 768. Suppose 0 = -12*v + 176 + p. Calculate the greatest common divisor of 40 and v. 20 Let r be 20 - (2 - 1) - -1. Let u be ((-9150)/250 + 35)*25/(-4). What is the greatest common divisor of r and u? 10 Let b = -11 + 41. Suppose -2*j + b = -22. Suppose -3*h + 62 - j = 0. What is the greatest common factor of 2 and h? 2 Let q(w) = -2*w**3 + 27*w**2 - 8*w - 26. Let i be q(13). What is the greatest common divisor of 8814 and i? 39 Suppose m - 4*t = 47, -3*t + 7*t = -5*m + 163. Let y be (-14133)/51 + (-28)/(-238). Let v = y - -312. What is the greatest common factor of m and v? 35 Let w = 38 + -34. Suppose -14*t - 96 = -16*t + 5*p, -3*p = w*t - 218. What is the greatest common factor of t and 1007? 53 Suppose a - 4*r = 15, -2*r - 4 = -a + 9. Suppose -4*o - a + 95 = 0. What is the greatest common factor of o and 105? 21 Let a(k) = -k**3 + 12*k**2 - 35*k - 2. Let i be a(6). Let f be i/((-3)/(-174)*1). Calculate the greatest common divisor of 87 and f. 29 Suppose 39*z = 25*z + 43736. What is the greatest common divisor of 132 and z? 44 Let v(l) = -l**3 + 5*l**2 - 8*l - 8. Let o be v(6). Let f be 6/10 + o/20. Let a be ((-36)/20)/(f/40). Calculate the highest common factor of a and 18. 18 Let m(j) = 103*j + 415. Let a be m(-4). Calculate the highest common factor of a and 15552. 3 Let k(x) = -92*x + 1203. Let r be k(13). Calculate the greatest common divisor of r an
{ "pile_set_name": "DM Mathematics" }
443926 to three decimal places. 0.944 What is -0.001762451 rounded to 6 dps? -0.001762 Round -0.00000629407 to 7 dps. -0.0000063 Round -6266.265 to the nearest ten. -6270 What is -79.368 rounded to the nearest 100? -100 Round 3674 to the nearest ten thousand. 0 What is -0.00002317878 rounded to six decimal places? -0.000023 Round -0.0000000557934 to 7 dps. -0.0000001 Round -0.00000738894 to 6 dps. -0.000007 What is -461.7612 rounded to the nearest 100? -500 Round 0.0080464 to three decimal places. 0.008 Round -16876560 to the nearest ten thousand. -16880000 What is -4571.4246 rounded to the nearest 100? -4600 Round -0.00020403636 to six decimal places. -0.000204 Round -0.214502 to 2 decimal places. -0.21 Round 0.00002883862 to 7 decimal places. 0.0000288 Round 14292.5 to the nearest ten thousand. 10000 What is -44385.78 rounded to the nearest one thousand? -44000 What is -1677.52 rounded to the nearest 10? -1680 Round 0.1476245 to two dps. 0.15 What is -0.041822 rounded to three decimal places? -0.042 What is 12455080 rounded to the nearest ten thousand? 12460000 What is 5.71556 rounded to 1 dp? 5.7 Round -13.7144 to one dp. -13.7 Round 3103039000 to the nearest one million. 3103000000 What is -0.00000198625 rounded to 7 decimal places? -0.000002 What is -0.016598 rounded to 2 dps? -0.02 What is -161247.9 rounded to the nearest one thousand? -161000 Round -0.000546682 to 6 dps. -0.000547 What is -0.0047676 rounded to 4 dps? -0.0048 Round 0.000018003601 to 6 dps. 0.000018 Round -0.02045614 to three dps. -0.02 Round -29777.528 to the nearest 1000. -30000 Round 0.2341486 to three dps. 0.234 Round 0.00017716924 to 7 dps. 0.0001772 Round 14303.25 to the nearest 100. 14300 What is -0.00004811521 rounded to 7 decimal places? -0.0000481 What is 0.000012871407 rounded to six dps? 0.000013 Round -26393.45 to the nearest one hundred. -26400 What is -3360540000 rounded to the nearest one million? -3361000000 Round 2.261526 to 2 dps. 2.26 What is 0.00001180606 rounded to seven decimal places? 0.0000118 Round 12.03714 to one dp. 12 What is 0.0133792 rounded to five dps? 0.01338 Round -0.0053843 to four decimal places. -0.0054 Round 699.39699 to zero decimal places. 699 What is -0.0322078 rounded to four dps? -0.0322 Round -317955.7 to the nearest 10000. -320000 What is -0.004481505 rounded to four dps? -0.0045 Round -0.0653109 to 2 decimal places. -0.07 Round 34.94748 to one decimal place. 34.9 Round 0.024001136 to 4 dps. 0.024 What is 0.11668011 rounded to 5 decimal places? 0.11668 Round -0.0000005376 to seven dps. -0.0000005 What is -6739260 rounded to the nearest one million? -7000000 What is -0.00015184083 rounded to 7 dps? -0.0001518 What is 861121 rounded to the nearest 1000? 861000 Round -0.000610616 to four decimal places. -0.0006 Round -1421710 to the nearest 10000. -1420000 Round -0.00611331 to five decimal places. -0.00611 What is 0.582105 rounded to one decimal place? 0.6 Round 0.004484346 to four dps. 0.0045 Round -3430.287 to the nearest ten. -3430 Round -3.8004 to one dp. -3.8 Round 0.0000612428 to 7 dps. 0.0000612 Round 18042709 to the nearest one hundred thousand. 18000000 What is 643701 rounded to the nearest 1000? 644000 What is 0.0333903 rounded to 3 decimal places? 0.033 Round -0.156738 to four decimal places. -0.1567 What is 55.38908 rounded to the nearest ten? 60 Round 5406950 to the nearest one hundred thousand. 5400000 What is 4262.426 rounded to the nearest ten? 4260 Round -17944.16 to the nearest one hundred. -17900 What is -0.037971 rounded to 2 decimal places? -0.04 What is -0.666766 rounded to 3 decimal places? -0.667 Round -0.000008342674 to 7 decimal places. -0.0000083 Round 3680.04 to the nearest one hundred. 3700 What is -1.29248 rounded to two decimal places? -1.29 What is -0.07513151 rounded to five decimal places? -0.07513 Round 0.029826 to one decimal place. 0 Round 0.000004068306 to seven dps. 0.0000041 Round -14.7113 to 0 dps. -15 What is 149631.7 rounded to the nearest 100? 149600 What is 4652942 rounded to the nearest 1000000? 5000000 What is 0.05789476 rounded to 5 dps? 0.05789 Round -510018800 to the nearest 1000000. -510000000 Round 0.0011025055 to 6 decimal places. 0.001103 What is -0.116837436 rounded to two decimal places? -0.12 Round 1.16627 to 2 dps. 1.17 Round 0.0051328155 to 4 dps. 0.0051 What is 275617.4 rounded to the nearest 1000? 276000 What is 0.001251725 rounded to five decimal places? 0.00125 What is -0.000109424 rounded to six dps? -0.000109 What is -37.6298 rounded to 2 decimal places? -37.63 Round 7244550 to the nearest 100000. 7200000 What is 15069586 rounded to the nearest ten thousand? 15070000 What is 5382.4178 rounded to the nearest ten? 5380 Round -48303.7 to the nearest one hundred. -48300 What is -19.922961 rounded to the nearest integer? -20 What is 0.3015584 rounded to two dps? 0.3 What is -0.000025423864 rounded to 6 dps? -0.000025 Round -0.0000667046 to seven dps. -0.0000667 What is -286255500 rounded to the nearest one million? -286000000 Round -0.00000911223 to seven decimal places. -0.0000091 Round 565.053 to the nearest one hundred. 600 What is -106.1901 rounded to the nearest ten? -110 Round 0.03033609 to three decimal places. 0.03 Round -1100.7253 to the nearest integer. -1101 What is 0.33112106 rounded to two dps? 0.33 Round -0.0485232 to 2 dps. -0.05 What is -0.4874118 rounded to three decimal places? -0.487 Round -0.0857942 to 2 decimal places. -0.09 What is 7872380 rounded to the nearest 10000? 7870000 Round 0.000208445 to five dps. 0.00021 Round 0.00427082 to two decimal places. 0 What is -0.0000007490799 rounded to seven dps? -0.0000007 What is 0.00048396018 rounded to 7 dps? 0.000484 What is -8010.62 rounded to the nearest one hundred? -8000 Round 33167000 to the nearest one million. 33000000 Round -11.4982212 to 3 decimal places. -11.498 Round -0.02750823 to 3 dps. -0.028 What is 2753.135 rounded to the nearest ten? 2750 What is 238290 rounded to the nearest one hundred? 238300 Round -160.04176 to 0 dps. -160 Round 10280.36 to the nearest 1000. 10000 What is -0.000054797351 rounded to five decimal places? -0.00005 What is -498.1 rounded to the nearest integer? -498 Round 0.0000902172 to 5 dps. 0.00009 Round 4702527000 to the nearest 1000000. 4703000000 Round -190419 to the nearest 10000. -190000 Round -0.0000025755894 to seven decimal places. -0.0000026 Round -246585800 to the nearest one hundred thousand. -246600000 Round -84338.5 to the nearest 10000. -80000 What is 0.00968763 rounded to five decimal places? 0.00969 What is 0.1181338 rounded to 2 dps? 0.12 What is -0.000375361 rounded to six decimal places? -0.000375 What is 6.619308 rounded to 1 dp? 6.6 What is 0.0136928 rounded to 2 dps? 0.01 Round -3.6542829 to two dps. -3.65 What is -2822385.5 rounded to the nearest one thousand? -2822000 Round 25494820 to the nearest one million. 25000000 What is 0.090085 rounded to three dps? 0.09 What is 1488510 rounded to the nearest 100000? 1500000 Round -0.0003057902 to 6 dps. -0.000306 Round 0.000138363 to 6 dps. 0.000138 Round 0.0006888292 to four decimal places. 0.0007 What is 17.137789 rounded to 1 decimal place? 17.1 Round 0.00000138395 to 6 dps. 0.000001 What is -0.0001707854 rounded to 6 decimal places? -0.000171 What is 0.012627 rounded to four decimal places? 0.0126 What is -1.149902 rounded to 1 dp? -1.1 What is -0.0024414638 rounded to 6 dps? -0.002441 Round 376.8808 to the nearest integer. 377 What is 78733.16 rounded to the nearest one hundred? 78700 What is 0.0438642 rounded to four dps? 0.0439 Round 0.146228 to 4 decimal places. 0.1462 Round -0.5352117 to 3 dps. -0.535 What is -22.13691 rounded to 0 dps? -22 Round 0.0064820353 to 3 dps. 0.006 Round 0.419217 to 3 decimal places. 0.419 What is -733714.39 rounded to the nearest 10000? -730000 What is 52.523993 rounded to the nearest ten? 50 Round 0.00034177897 to 6 decimal places. 0.000342 Round 0.000512719 to six dps. 0.000513 Round 350620 to the nearest one thousand. 351000 Round 0.04587511 to 2 decimal places. 0.05 What is -0.000090769 rounded to six decimal places? -0.000091 Round 314.4753 to the nearest ten. 310 What is -0.0054676 rounded to 4 decimal places? -0.0055 What is 105.176 rounded to the neares
{ "pile_set_name": "DM Mathematics" }
- 4. Let n be v(7). Suppose y = -4*r + 15, 6*r = 3*r - n*y. Suppose 2*p = -3 + 7. Sort r, p, -3. -3, p, r Let u(i) = -9*i + 7. Let f be u(2). Sort -5, 4, f in decreasing order. 4, -5, f Let m = -6 + 3. Let d = 0.36 + -0.06. Put 2/5, d, m in decreasing order. 2/5, d, m Suppose -2*p = 2*s - 6, -4*s + 5*p + 13 = 37. Let v be s/9*(-12)/10. Let o = 1.6 + -1.7. Put v, o, 4 in decreasing order. 4, v, o Let r be 0*(-1)/(-3)*-1. Let m = r - -1. Let u be (4 - 3)/(m/1). Sort -5, u, 0.1 in increasing order. -5, 0.1, u Let y = -118 + 114. Sort 1, y, -3, -7 in descending order. 1, -3, y, -7 Let x = -4.99 - 0.01. Let n(v) = 3*v - 4. Let w be n(3). Suppose 0 = -0*q - w*q - 20. Put -0.2, q, x in descending order. -0.2, q, x Let j be (8/(-10))/(4/(-10)). Let m(x) = x**2 + 6*x + 5. Let q be m(-6). Sort j, q, 4 in increasing order. j, 4, q Suppose w - 4 = 3*w. Let k = 163/5236 + -1/119. Let o = k + -3/11. Put 3, o, w in descending order. 3, o, w Let u = 0.16 - -7.84. Let w = 12 - u. Sort -2, w, 2/7. -2, 2/7, w Let n(u) = u**2 - 6*u + 2. Let r be n(6). Let x be (1*-2)/(1 + -3). Let g = -6 + x. Sort 1, g, r in descending order. r, 1, g Let x = -1.6 - -1.4. Let n = 0 - -2. Let l = -2.1 + n. Sort x, 1, l. x, l, 1 Suppose -3*h + 6*h = 0. Let f be -10 + (1 - (3 + -1)). Sort h, f, 1. f, h, 1 Let n = -0.7 - -3.8. Let f = n + -3. Let s = f + 0.3. Sort s, 4, 1. s, 1, 4 Let k = -8 - -12. Let u = 15 - 13. Put 0, u, k in increasing order. 0, u, k Let p = -20 + 13. Sort p, 4, -1 in ascending order. p, -1, 4 Let x(s) = -s**3 + s**2. Let h be x(0). Suppose 3*q - 8 = -2. Put q, -2, h in decreasing order. q, h, -2 Let y(l) = l + 13. Let h be y(-10). Put h, -4, 5, 1 in ascending order. -4, 1, h, 5 Suppose -9 - 1 = -2*i. Suppose -6 = -b - v, 9 = -b + i*v - 3. Let s = -4 + 6. Sort -4, b, s in descending order. b, s, -4 Let v = -10 + 14. Let u = -0.9 + -5.1. Let t = 8 + u. Put v, t, -0.4 in decreasing order. v, t, -0.4 Let p(g) = g + 2. Let u be p(9). Suppose 0 = 6*j - u*j - 40. Sort 1, j, 3 in descending order. 3, 1, j Let j(g) = -g**2 + 5*g + 5. Suppose 0*n + 12 = 2*n. Let x be j(n). Let h = x + 2. Put 4, 2, h in descending order. 4, 2, h Let t = 0.01 + -0.06. Let u = 0.05 + t. Sort u, -4, -3 in decreasing order. u, -3, -4 Let y = 23 - 32. Let h = -5 - y. Let o = -2 - -4. Sort h, o, -3. -3, o, h Suppose 3*l - 3 = -0*l. Let a = l + 3. Sort -4, a, 1 in increasing order. -4, 1, a Let a = 7 + -6. Sort 0, 2/9, 3, a. 0, 2/9, a, 3 Suppose -2*d = -4*p + 8, -4*p + 10 = -2. Let k be d + 7/(21/(-24)). Put -3, k, 3 in increasing order. k, -3, 3 Let b = -1.2 + -4.8. Let o = 2 + b. Put o, -0.1, 2/5 in descending order. 2/5, -0.1, o Let i be (4 + -4)/(-5) - -4. Suppose 0 = -n + 2*n - i. Let y = 6 + -4. Sort n, 3, y in descending order. n, 3, y Let p = 0.4 - 0.7. Let j = 0.8 - -2.2. Let f = 66 - 196/3. Put f, j, p in descending order. j, f, p Let i be (6/5)/((-18)/(-60)). Suppose 0*z + 5*n - i = 3*z, 0 = z - n + 2. Put 0, z, -5 in ascending order. -5, z, 0 Let i be 1*7 + (3 - 5). Suppose -5 = 4*m - i*m. Sort m, 0.3, 2/7 in decreasing order. m, 0.3, 2/7 Let s = -1.64 + -0.36. Put 5, s, 0 in descending order. 5, 0, s Let m = 19 + -19.1. Sort -0.3, -1, m in descending order. m, -0.3, -1 Let s be ((-1)/3)/((-7)/21). Let j = -0.52 + -0.08. Let p = -0.4 + j. Put p, 5, s in decreasing order. 5, s, p Suppose -4*p = -12, 0*p = -5*c - 3*p - 11. Let j = -0.086 - 0.414. Put -1/3, j, c in descending order. -1/3, j, c Suppose -2*s + 0*s = -10. Put -4, 2, -2, s in ascending order. -4, -2, 2, s Let h = 21 + -16. Sort h, -1/5, -0.1. -1/5, -0.1, h Let a(d) = d**2 - 4*d - 8. Let i be a(5). Suppose b = 2*n + 5, 0 = -n + 4*b + 4 + 4. Sort 4, i, n. n, i, 4 Suppose 0 = 4*y + a + 10, -4*y - 4*a - 3 = 1. Let i be 0*(y + 10/4). Sort 1, i, 2 in increasing order. i, 1, 2 Let q = -1036.03 - -1041. Let s = 0.5 - 0.53. Let f = q - s. Put 4/5, -3, f in decreasing order. f, 4/5, -3 Let d = 90 - 89.7. Sort 1/4, d, -7, -1/2 in ascending order. -7, -1/2, 1/4, d Let i = -0.037 - -0.337. Put i, 1/10, 0.5, 4/5 in decreasing order. 4/5, 0.5, i, 1/10 Let s = -11/2 + 41/6. Put -0.1, 0.2, s in decreasing order. s, 0.2, -0.1 Let i(m) = -m**3 - m**2 + m + 2. Let r be i(0). Let w(h) = -2*h + 3. Let b be w(r). Let g(l) = l + 9. Let f be g(-6). Put 0, b, f in decreasing order. f, 0, b Let l = 4.6 + -5. Sort -3, 9, l. -3, l, 9 Suppose 82 = -2*p + 94. Sort -3, -4, -2, p. -4, -3, -2, p Let w = -12 - -8. Let q = -4.3 + 4. Let y = 0.1 + q. Sort y, 2, w in ascending order. w, y, 2 Suppose 0 = -2*y + 3 - 5. Sort -5, y, 4 in ascending order. -5, y, 4 Let f be (-3 + (2 - 9))/2. Let b = -8 - f. Let g be ((-2)/2)/(b/(-9)). Sort -5, g, 1 in decreasing order. 1, g, -5 Let w(v) = v**3 - 6*v**2 + 4. Let f be w(6). Put f, -2, 1 in decreasing order. f, 1, -2 Let q be ((-2)/4)/(1/2). Let k(c) = -c**3 + 6*c**2 + 7*c + 1. Let p be k(7). Let u be p - (-1)/2*-10. Sort u, q, 4 in decreasing order. 4, q, u Let x be 2 + (-3)/((-3)/(-4)). Let c be (-7)/(-21)*(1 + x). Sort 1, c, 3 in increasing order. c, 1, 3 Let v = -6 - -3. Let t be ((-15)/v + -2)/(-1). Suppose 16 = 5*q - 2*m, 3*q + 5*m - 6*m - 10 = 0. Put q, -1, t in increasing order. t, -1, q Let n be (-6)/(-4) - 5/2. Sort 0, n, -2/3. n, -2/3, 0 Let t = 0.9 - 0.93. Let i = 0.13 + t. Let o = 1 + -5. Sort -1/4, o, i. o, -1/4, i Let y be (-1)/5 - (-16)/5. Let p(f) = -f**2 - 12*f + 4. Let a be p(-12). Suppose 0*i + a = 4*i. Sort y, i, 2 in increasing order. i, 2, y Let w be 2 + (-3 - 3)/(-3). Suppose 4*a + w*g - 16 = 0, 4*g - 8 = -a + 5. Put -0.3, a, 1/3 in decreasing order. a, 1/3, -0.3 Let f = 0.18 + 0.32. Put 0.3, -1/8, f in decreasing order. f, 0.3, -1/8 Let z = -0.02 + 4.02. Put -4/3, -1, z, 2/9 in ascending order. -4/3, -1, 2/9, z Let m be (-138)/(-42) + 2/(-7). Put m, -3, -4 in ascending order. -4, -3, m Let o be -20 + 21 - (-4)/((-8)/(-6)). Sort 3, 39, -5, o in ascending order. -5, 3, o, 39 Let j = 2.07 + -0.07. Let t = j + -1.9. Let v = 0.1 - t. Put -0.4, -4/9, v in descending order. v, -0.4, -4/9 Let l(s) = s - 10. Let x be l(7). Suppose -4*v - 25 = -9. Put x, 4, v in decreasing order. 4, x, v Let a = -0.04 - 3.96. Let l = 3.6 + a. Let n = -6.4 + 10.4. Sort n, l, -0.1 in decreasing order. n, -0.1, l Suppose -f - 3*a - 10 = 4, 4*f = a + 9. Let i = -1 - f. Let t be (i*2/22)/(-2). Sort 5, t, 1 in ascending order. t, 1, 5 Let o = 0.2 - -0.1. Let m = o + 0.1. Let z be 2/((-5)/2 - -2). Sort m, z, 1/6. z, 1/6, m Suppose 14 - 2 = 4*i. Put -0.2, 0, i in decreasing order. i, 0, -0.2 Suppose -s + 2*j = s - 8, -s - 2*j = 11. Let m(a) = -a**3 + 12*a**2 + a - 17. Let g be m(12). Put g, s, 0 in ascending order. g, s, 0 Let v = -0.01 + -0.39. Let a = 45 - 48.4. Let l = v - a. Sort l, -6, 0. -6, 0, l Let c = -611 + 611. Let l(a) = -a + 3. Let z be l(5). Sort 5, z, c in decreasing order. 5, c, z Let q = 0.2 - 0. Let s be ((-2)/(-63))/(1/3). Let o be (-165)/154*(-8)/10. Put s, q, o in decreasing order. o, q, s Let z be (10/(-4))/(1/2). Let d = 1.9 + -2. Put d, z, -2 in descending order. d, -2, z Let k(z) = 4*z + 5. Let y be k(-2). Sort -4, -1, -5, y in decreasing order. -1, y, -4, -5 Let y = 81 - 80. Sort 4, y, 3 in descending order. 4, 3, y Let b = -0.1 - -0.3. Let l = -11.7 + 9.7. Put b, 4, l in descending order. 4, b, l Let h(n) = n - 2. Let c be h(5). Put -2, c, 1 in descending order. c, 1, -2 Suppose -3*v = 2*v. Suppose 3*x + 8 = -p, 5*p + v = -10. Sort -5, x, 1 in descending order. 1, x, -5 Let x = 0.23 + -0.63. Let w = -1/97 + 207/1261. Sort x, -3/2, w in increasing order. -3/2, x, w Suppose 5*q - 3*q + 2*q = 0. Sort -2, 2, 23, q in decreasing order. 23, 2, q, -2 Let n = 10 - 10. Sort n, 3, 1 in decreasing order. 3, 1, n Let g be ((-3)/((-15)/(-4)))/(1/(-5)). Let c = 2 - 5. Let m be 2 + c*(-2 + 1). Sort -6, m, g in increasing order. -6, g, m Let m be (-1)/(2*1/14). Let t = -41 + 40.9. Sort 0.4, t, m. m, t, 0.4 Let c = 184 + -187. Suppose -n + 0 = -5. Sort -1, n, c. c, -1, n Let i = -0.2 - -0.1. Suppose 0 = -2*q - 4*j, 2*q = 6*q - 2*j. Let p be q/1*(-2)/(-2). Put p, i, -4 in ascending order. -4, i, p Suppose 10 = 4*o + o. Let x(f) = f**2 + 6*f + 5. Let v be x(-4). Sort o, v, 3 in decreasing order. 3, o, v Let n be (-4 - -1)*(-36)/(-27). Sort n, -1/3, -1 in descending order. -1/3, -1, n Let a(r) = -r**2 - 2*r - 3. Let k
{ "pile_set_name": "DM Mathematics" }
Suppose 4*d = -c + 27, 0 = -5*d + 6*d - 3*c + 3. Suppose 75 = d*a - a. Calculate the greatest common factor of 15 and a. 15 Suppose -2*b - 90 = -5*b. Let g(m) = -3 - 3 + 20 - 5*m**2 + 4*m**2 - 2*m. Let f be g(-4). Calculate the highest common factor of f and b. 6 Suppose -3*s - 713 = -d, 4*d - 3929 = -4*s - 1077. Calculate the greatest common divisor of d and 23. 23 Suppose 0 = a - 3*s + 3, -a - 17*s = -19*s - 2. Calculate the greatest common factor of a and 48. 12 Let d = 428 - 230. Let u = -82 + d. What is the highest common factor of u and 29? 29 Suppose 3*u + 84 = 2*q + 5*u, -4*u = 3*q - 128. Suppose h + i = q, 17 = -5*i - 3. Calculate the greatest common factor of 4 and h. 4 Let j = -269 - -2842. Calculate the greatest common factor of j and 31. 31 Let l(d) = 4*d**2 - 3*d - 4. Let x be l(3). Let v = 18 - x. Let p = 20 + v. Calculate the highest common factor of 135 and p. 15 Let q(a) = a**2 - 3*a - 5. Let n be q(6). Suppose 7 = 4*c - n. What is the highest common divisor of c and 10? 5 Suppose 9*r = 8*r - 2*z + 156, -4*z + 632 = 4*r. What is the highest common factor of r and 768? 32 Let j(h) = -2*h**2 + 18*h - 6. Suppose 0 = -0*r + 5*r - 40. Let u be j(r). What is the greatest common divisor of u and 80? 10 Suppose 18 = -4*k + 2. Let l be (-16)/(-10) - k/10. Let r be 4/(-1) + (-6 - 2 - -34). Calculate the greatest common divisor of r and l. 2 Suppose 311 = 10*l - 409. Let h be l*(4 + 10/(-3)). Calculate the highest common factor of 72 and h. 24 Suppose w = 2*t - 1, 2*t + t + 3*w = -21. Let b(u) = 2 + 3*u - 3*u**3 + 2 + 2*u**2 + u**2 + u. Let d be b(t). What is the greatest common factor of 4 and d? 4 Suppose 0 = -13*g - 18*g + 930. What is the greatest common divisor of g and 18? 6 Suppose 3*m + i + i = 36, 0 = -3*i. Let r(c) = 4*c**3 - 2*c**2 - c + 2. Let k be r(2). What is the highest common divisor of m and k? 12 Let v = 243 - 121. Let y = v - 108. Suppose 204 - 540 = -4*l. Calculate the greatest common factor of l and y. 14 Suppose v = 5*u + 72, 4*v + 5*u = v + 136. Let b = v - 44. What is the highest common divisor of b and 32? 8 Suppose 377 + 117 = 19*f. Calculate the highest common factor of f and 806. 26 Suppose 0 = -12*t - 2150 + 6098. What is the highest common factor of 49 and t? 7 Suppose 8*p = 3*r + 9*p - 20, 0 = -3*r + p + 22. Calculate the highest common divisor of r and 21. 7 Let k = 120 - 60. Suppose 0 = -6*s + 154 - 82. What is the highest common factor of k and s? 12 Suppose -d = 2*r - 14 - 4, 0 = -4*d - r + 72. Let a = 25 + -7. What is the greatest common factor of d and a? 18 Suppose 0 = 2*q - 127 - 251. Let g = -706 - -727. Calculate the greatest common divisor of g and q. 21 Let a be ((-6)/(-18))/(2/30). Suppose 0 = -4*v - 5*m + 73, 54 = -2*v + a*v + 4*m. Calculate the highest common divisor of 2 and v. 2 Let c = -213 - -330. Calculate the greatest common factor of c and 195. 39 Suppose -2*h + h = -b + 5, -3*b = 4*h - 43. Let n(r) = r**2 + 5*r - 4. Let i be n(-6). Let k be (3/i)/(2/4). Calculate the highest common divisor of b and k. 3 Suppose -2*y = y - 1890. Suppose 0*u = -5*u + y. Suppose 0*c - c + 2*r = -20, 5*r = 3*c - 57. What is the greatest common factor of u and c? 14 Suppose 3*t + 90 = 9*t. Suppose 3*z + 149 = -3*f + 734, 5*z - 5*f - 975 = 0. Calculate the highest common divisor of t and z. 15 Let x = 254 + -166. Calculate the greatest common divisor of x and 40. 8 Suppose 0 = 5*i + 3*q - 360, 4*i + 55 - 343 = -2*q. What is the highest common divisor of i and 168? 24 Let r be 141/7 + (-5)/35. Suppose -2*k - 2*k - n = -r, 0 = -k + 4*n - 12. Let i = 4 - 0. Calculate the greatest common divisor of i and k. 4 Suppose 15 = 2*g + 7. Let r(p) = -5 + 6*p - 3*p + 2*p. Let l be r(g). What is the greatest common divisor of l and 30? 15 Let y(i) = 6*i - 2. Let o be y(3). Suppose 132 = -27*a + 38*a. What is the greatest common divisor of a and o? 4 Let h = -2 + 9. Let i(t) = 2*t**3 - 75*t**2 + 37*t + 35. Let b be i(37). Calculate the highest common divisor of b and h. 7 Suppose 0*q - 4*b + 19 = q, -3*q + 112 = b. Calculate the highest common divisor of q and 3. 3 Let n be (-32)/(-80) + 616/10. Suppose 0 = 4*c + n - 1062. Suppose 5*r - 5*v = c, 2*r + 100 = 4*r - 3*v. Calculate the highest common factor of 20 and r. 10 Let g(r) = r**2 + 15*r + 20. Let b be g(-14). Let k be ((-80)/30)/((-4)/b). Calculate the highest common factor of 28 and k. 4 Suppose 14*v - 60 = 10*v. Let w = v + -13. Suppose 93 = 4*m - 3*o - 41, -w*o + 179 = 5*m. Calculate the greatest common divisor of 7 and m. 7 Suppose 4*n - 5198 = -1226. Let t be (6/9)/(2/n). Let c = 499 - t. What is the greatest common factor of c and 21? 21 Let n be (0/(-2))/(22 + -20). Suppose 2*b - b - 5*a - 40 = 0, n = 2*b - 3*a - 66. Calculate the highest common divisor of b and 6. 6 Let p be 130/(-13) - -15 - (2 + -18). Let w = 294 - 128. Let x be 1 - (0 + w/(-2)). Calculate the greatest common divisor of p and x. 21 Let b = 28 - 8. Suppose -23*i + 27*i = b. What is the highest common factor of i and 15? 5 Suppose 7*g - 6*g - 64 = 0. Let d be (-351)/18*(2 - 0). Let y = d + g. Calculate the highest common factor of 175 and y. 25 Let k(l) = 5*l + 118. Let h be k(2). Let c be (-4)/(-2)*-1*11. Let a = c + 38. What is the greatest common factor of a and h? 16 Suppose -3*p - 3 = -21. Let f(t) = 3*t - 1. Let k be f(-1). Let h be k/48*-3*8. Calculate the greatest common divisor of p and h. 2 Let i be 54/(-243) + (0 - 58/(-18)). Suppose 23 = i*t + g, 0*t - 5*g + 19 = -t. Let p = -1 - -3. What is the highest common divisor of p and t? 2 Let o be (-465)/(-6)*(-132)/(-55). What is the highest common factor of o and 589? 31 Let d be (624/(-60))/(1/(-5)). What is the greatest common factor of d and 13? 13 Let t be (1 - (-1)/(-2))*(8 - 4). Let g be 73 + t/(-2)*(9 + -8). What is the greatest common factor of 6 and g? 6 Suppose -72 = -4*c + 60. Let d be (c/(-6))/(2/(-4)). Let w be (-27)/(-2) + d/22. Calculate the highest common divisor of w and 14. 14 Suppose -2*k + 4*t + 90 = 0, -k + 4*t + 53 = -0*k. Let v = k - 8. Calculate the highest common factor of v and 203. 29 Suppose -8*j + 200 = -3*j. Suppose -118 = -5*a + 4*b - 18, -4*b = 2*a - j. Calculate the greatest common factor of a and 40. 20 Suppose 0 = 3*n + n. Suppose n = -a - 4*a. Suppose -5*d + 7*d - 12 = a. Calculate the greatest common factor of 3 and d. 3 Suppose 4*p + 8*m - 18 = 3*m, -m = 2*p - 6. Suppose 0 = -5*z + p*z + 21. What is the greatest common factor of 7 and z? 7 Let j = -18 - -13. Let z = 6 + j. Let a(m) = 73*m - 1. Let w be a(z). Calculate the highest common factor of 48 and w. 24 Let m = 223 - 193. What is the highest common factor of m and 6? 6 Suppose 7*r + 8 = 3*r. Let h be r*(-2)/(-4)*-121. Let m be h - 0 - -1 - 3. What is the highest common divisor of 17 and m? 17 Suppose 21*u - 23*u = -84. Suppose 0 = -5*t + 2*x + 126, -2*t - 2*x = -0*x - u. What is the greatest common factor of 60 and t? 12 Suppose 23*p = 110 + 1983. What is the highest common factor of p and 2093? 91 Suppose 261*o = 262*o - 39. Suppose -3*h = -4*l + 1419, 0*h = -2*l - 2*h + 692. What is the greatest common divisor of o and l? 39 Let t(g) = -g**3 - 14*g**2 - 21*g - 22. Let s(i) = -i**2 + i. Let n(z) = -2*s(z) + t(z). Let d be n(-10). Calculate the greatest common factor of 36 and d. 4 Let k(w) = w + 3. Let d be k(-7). Let r be 112/(-63) + d/18 + 98. Calculate the greatest common factor of r and 128. 32 Suppose 51*y = 41*y + 50. Let d be 1904/24 + 4/6. Suppose a + 4*a - d = -b, a + 105 = 2*b. Calculate the highest common divisor of y and b. 5 Let p = 35 + -33. Calculate the greatest common factor of 1 and p. 1 Let o = 26728 + -26647. Let a(t) = t**2 + 1 + 2*t - t**3 - 2*t**2 + 2*t**3. Let n be a(2). Calculate the greatest common factor of n and o. 9 Suppose 20 = -5*d, -124 = -18*f + 13*f + d. What is the highest common factor of f and 384? 24 Let r(s) = 5*s - 68. Let x be r(18). Let t be (-19584)/(-99) - (-2)/11. Calculate the highest common divisor of t and x. 22 Let z = 1909 + -1584. Calculate the greatest common divisor of z and 455. 65 Suppose -3*c = 113 - 377. What is the greatest common factor of c and 44? 44 Suppose 2*z - 2738 - 2310 = 0. Let t be z/14 - (-28)/(-98). Calculate the highest common factor of 20 and t. 20 Let i be (-3
{ "pile_set_name": "DM Mathematics" }
6? 31*k**2 + 22*k + 1 What is the x'th term of -46, -458, -1150, -2122, -3374? -140*x**2 + 8*x + 86 What is the s'th term of -1584, -3158, -4724, -6282? 4*s**2 - 1586*s - 2 What is the j'th term of 32837, 32825, 32815, 32807, 32801, 32797, 32795? j**2 - 15*j + 32851 What is the l'th term of -347, -383, -441, -515, -599, -687? l**3 - 17*l**2 + 8*l - 339 What is the n'th term of 1763, 3521, 5279? 1758*n + 5 What is the p'th term of -5635, -5630, -5625, -5620? 5*p - 5640 What is the z'th term of -2317, -2336, -2355, -2374, -2393, -2412? -19*z - 2298 What is the v'th term of -11733348, -11733347, -11733346, -11733345? v - 11733349 What is the n'th term of -617, -4563, -15277, -36143, -70545? -564*n**3 + 2*n - 55 What is the i'th term of -5833, -6042, -6251, -6460, -6669? -209*i - 5624 What is the d'th term of 4282, 8532, 12774, 17008, 21234, 25452? -4*d**2 + 4262*d + 24 What is the v'th term of 10048, 10090, 10132? 42*v + 10006 What is the x'th term of -121878, -121881, -121884, -121887, -121890, -121893? -3*x - 121875 What is the l'th term of 4406, 4465, 4522, 4577? -l**2 + 62*l + 4345 What is the v'th term of 5102, 5079, 5072, 5087, 5130, 5207, 5324, 5487? v**3 + 2*v**2 - 36*v + 5135 What is the q'th term of -2394, -4814, -7248, -9702, -12182, -14694, -17244, -19838? -q**3 - q**2 - 2410*q + 18 What is the y'th term of 808, 3219, 7216, 12781, 19896, 28543, 38704, 50361? -3*y**3 + 811*y**2 - y + 1 What is the f'th term of -4093, -32969, -111345, -263971, -515597, -890973, -1414849? -4125*f**3 - f + 33 What is the m'th term of -293013, -293004, -292981, -292938, -292869, -292768? m**3 + m**2 - m - 293014 What is the p'th term of 123083, 123078, 123069, 123056? -2*p**2 + p + 123084 What is the s'th term of 24661, 49323, 73985, 98647, 123309, 147971? 24662*s - 1 What is the c'th term of 29, -32, -105, -202, -335, -516? -2*c**3 + 6*c**2 - 65*c + 90 What is the q'th term of 38, 79, 216, 503, 994, 1743? 9*q**3 - 6*q**2 - 4*q + 39 What is the y'th term of 168339, 336682, 505025, 673368, 841711, 1010054? 168343*y - 4 What is the r'th term of 10433, 20868, 31319, 41786, 52269, 62768? 8*r**2 + 10411*r + 14 What is the n'th term of -433, -324, -5, 632, 1695, 3292, 5531? 18*n**3 - 3*n**2 - 8*n - 440 What is the z'th term of -10623, -21238, -31841, -42438, -53035? -z**3 + 12*z**2 - 10644*z + 10 What is the l'th term of 526, 1027, 1528, 2029? 501*l + 25 What is the b'th term of -181, -165, -123, -43, 87? 2*b**3 + b**2 - b - 183 What is the t'th term of -1543, -1560, -1577? -17*t - 1526 What is the o'th term of 6092, 12270, 18526, 24866, 31296, 37822? o**3 + 33*o**2 + 6072*o - 14 What is the c'th term of -2848908, -2848910, -2848912, -2848914? -2*c - 2848906 What is the w'th term of -13687, -27370, -41053, -54736, -68419? -13683*w - 4 What is the g'th term of -132969, -265937, -398905? -132968*g - 1 What is the n'th term of -429, -439, -461, -501, -565, -659, -789, -961? -n**3 - 3*n - 425 What is the q'th term of -2776, -5686, -8586, -11470, -14332, -17166? q**3 - q**2 - 2914*q + 138 What is the j'th term of 12001, 11966, 11931, 11896? -35*j + 12036 What is the m'th term of 424, 1717, 3880, 6913? 435*m**2 - 12*m + 1 What is the s'th term of 116, 304, 622, 1070? 65*s**2 - 7*s + 58 What is the u'th term of -99576, -99577, -99578, -99579, -99580, -99581? -u - 99575 What is the v'th term of 15819, 15817, 15817, 15819? v**2 - 5*v + 15823 What is the r'th term of 162, 561, 1462, 3117, 5778, 9697, 15126, 22317? 42*r**3 - r**2 + 108*r + 13 What is the n'th term of -200, -339, -478, -617, -756? -139*n - 61 What is the p'th term of 371, 1737, 4013, 7199, 11295, 16301, 22217? 455*p**2 + p - 85 What is the z'th term of 43815, 43808, 43797, 43782, 43763, 43740? -2*z**2 - z + 43818 What is the l'th term of 63, -34, -355, -1014, -2125, -3802, -6159, -9310? -19*l**3 + 2*l**2 + 30*l + 50 What is the l'th term of -954, -1899, -2844, -3789? -945*l - 9 What is the b'th term of 196, 89, -18? -107*b + 303 What is the a'th term of 329, -389, -1107, -1825? -718*a + 1047 What is the t'th term of -203, -312, -423, -536, -651, -768, -887? -t**2 - 106*t - 96 What is the o'th term of -1080, -981, -806, -555, -228, 175? 38*o**2 - 15*o - 1103 What is the f'th term of 62, 207, 456, 815, 1290? f**3 + 46*f**2 + 15 What is the p'th term of -2009, -16029, -54085, -128195, -250377, -432649? -2003*p**3 + p - 7 What is the t'th term of 2278, 9111, 20498, 36439, 56934, 81983? 2277*t**2 + 2*t - 1 What is the r'th term of 758686, 758682, 758678? -4*r + 758690 What is the t'th term of 4751, 9463, 14179, 18899, 23623, 28351, 33083? 2*t**2 + 4706*t + 43 What is the a'th term of -3525, -14100, -31723, -56394? -3524*a**2 - 3*a + 2 What is the p'th term of -5974, -5987, -6000, -6013, -6026? -13*p - 5961 What is the z'th term of -4162, -8325, -12488, -16651? -4163*z + 1 What is the m'th term of 964, 1445, 1926, 2407, 2888, 3369? 481*m + 483 What is the n'th term of -125, -287, -495, -755, -1073, -1455? -n**3 - 17*n**2 - 104*n - 3 What is the r'th term of 2062, 16518, 55754, 132160, 258126? 2065*r**3 + r - 4 What is the r'th term of 231728, 231737, 231746, 231755? 9*r + 231719 What is the k'th term of 2626153, 2626140, 2626113, 2626066, 2625993? -k**3 - k**2 - 3*k + 2626158 What is the f'th term of 741, 1625, 2509? 884*f - 143 What is the g'th term of -694959, -1389921, -2084883, -2779845? -694962*g + 3 What is the v'th term of -24, 17, 88, 189, 320, 481? 15*v**2 - 4*v - 35 What is the v'th term of 643, 594, 495, 322, 51, -342, -881, -1590? -4*v**3 - v**2 - 18*v + 666 What is the y'th term of 6604, 6601, 6598, 6595? -3*y + 6607 What is the v'th term of -659, -658, -657? v - 660 What is the f'th term of 33001, 32991, 32971, 32935, 32877? -f**3 + f**2 - 6*f + 33007 What is the f'th term of -1555, -1562, -1569, -1576? -7*f - 1548 What is the f'th term of 488, 979, 1470, 1961? 491*f - 3 What is the b'th term of -59909, -59903, -59895, -59885, -59873? b**2 + 3*b - 59913 What is the t'th term of -126874, -126877, -126880, -126883, -126886? -3*t - 126871 What is the p'th term of -277, -1113, -2505, -4453, -6957, -10017? -278*p**2 - 2*p + 3 What is the p'th term of -291, -267, -243, -219, -195, -171? 24*p - 315 What is the i'th term of -3615, -28839, -97301, -230619, -450411, -778295, -1235889? -3603*i**3 - i**2 - 11 What is the k'th term of 76391, 152782, 229185, 305606, 382051? k**3 + 76384*k + 6 What is the h'th term of -216520, -216513, -216502, -216487, -216468, -216445, -216418? 2*h**2 + h - 216523 What is the i'th term of -148103, -148106, -148111, -148118? -i**2 - 148102 What is the u'th term of 123, 60, -41, -174, -333, -512? u**3 - 25*u**2 + 5*u + 142 What is the q'th term of 4116, 8233, 12350, 16467, 20584? 4117*q - 1 What is the v'th term of -95352, -190710, -286070, -381432? -v**2 - 95355*v + 4 What is the j'th term of 18710, 18709, 18708, 18707? -j + 18711 What is the t'th term of 203653, 407308, 610963, 814618, 1018273, 1221928? 203655*t - 2 What is the d'th term of 327973, 655943, 983927, 1311931, 1639961, 1968023, 2296123? d**3 + d**2 + 327960*d + 11 What is the s'th term of -571412, -571410, -571408, -571406? 2*s - 571414 What is the g'th term of -450, -593, -736, -879, -1022, -1165? -143*g - 307 What is the y'th term of 6025, 12182, 18339, 24496, 30653? 6157*y - 132 What is the y'th term of 1322, 2637, 3944, 5243, 6534, 7817, 9092? -4*y**2 + 1327*y - 1 What is the d'th term of 149, 533, 1147, 1985, 3041, 4309, 5783, 7457? -d**3 + 121*d**2 + 28*d + 1 What is the c'th term of 359, 688, 1013, 1334, 1651, 1964? -2*c**2 + 335*c + 26 What is the d'th term of 4070, 4042, 4022, 4010? 4*d**2 - 40*d + 4106 What is the s'th term of 1245, 1249, 1253, 1257, 1261, 1265? 4*s + 1241 What is the k'th term of -193020, -386036, -579052, -772068, -965084? -193016*k - 4 What is the q'th term of -860, -902, -944? -42*q - 818 What is the u'th term of -84820, -169642, -254464, -339286? -84822*u + 2 What is the u'th term of -81637, -81640, -81645, -81652, -81661, -81672? -u**2 - 81636 What is the q'th term of 982, 996, 1008, 1018, 1026? -q**2 + 17*q + 966 What is the i'th term of 634, 627, 620? -7*i + 641 What is the c'th term of -42, 445, 1780, 4389, 8698? 71*c**3 - 2*c**2 - 4*c - 107 What is the c'th term of 19, 66, 1
{ "pile_set_name": "DM Mathematics" }
value in 0.6, y, 1? 1 Let z = 20632 - 20497. Which is the smallest value? (a) z (b) -2 (c) 2 (d) -2/7 b Let l = -0.025 - -0.0313. Let j = l - -4.9937. What is the third biggest value in j, -1.4, -1? -1.4 Let o = -1.786 - -1.786. Let d = -1.06 - -2.06. Which is the third smallest value? (a) d (b) o (c) 7/4 c Let u be -2 + (-743139)/(-296541) + 2/(-7). Let h = u + 1/523. What is the second smallest value in -1/3, h, 0.05? 0.05 Let c = 86 - 604/7. What is the second smallest value in c, 3, 0.1, -4/43? -4/43 Suppose -48*a + 42 = 4*a - 114. Let u = 180041/7812 - 719/31. Let d = u - 5/36. What is the third smallest value in d, a, -1/9? a Let u = 4283 + -4287. Let g = 4.1 + -3.1. What is the second biggest value in u, g, 4? g Let i be -2*(-27)/((-3159)/(-13)). Which is the third biggest value? (a) 0.8 (b) -5 (c) i (d) 1/26 d Let t = 547 + -496. What is the third biggest value in 2/3, t, 0.1? 0.1 Let r = 1354.8 + -1355. Which is the fourth biggest value? (a) r (b) 10 (c) 1/3 (d) 15 a Let p = 0 + -0.5. Let u = -0.33615 - -0.13615. Let r = -0.3 - -0.3. Which is the second biggest value? (a) -2 (b) r (c) p (d) u d Let s be -11 + (-14)/49 + (-744)/(-56). What is the fourth biggest value in 0.4, 5, 1/391, s? 1/391 Let k = 479.06 - 479. What is the third smallest value in -0.8, 2, k? 2 Let t = -0.62 + -0.38. Let a = -31.9 + -11.1. Let x = 48 + a. What is the second smallest value in x, t, 0.3? 0.3 Let h(b) = b**2 + 13*b + 19. Let j be h(-10). Let p be 4/20 - j/(-105). Let z = -123 + 119. What is the fourth smallest value in z, 2/13, 0.4, p? 0.4 Let l(r) = -r**3 + 20*r**2 - 21*r + 262. Let a be l(19). What is the second smallest value in 5, -0.5, a? 5 Let y = -1 + -4. Let v = 636/29 - 1301/58. Let m = -2/61 + 136/427. Which is the biggest value? (a) v (b) m (c) y (d) 0 b Suppose -37 = 34*q + 99. Which is the smallest value? (a) 1.2 (b) -3/10 (c) q c Let s(u) = u**3 - 2*u**2 - 4*u + 3. Let w be s(3). Let h = 86 - 414. Let v = h + 328.2. What is the smallest value in w, v, -5? -5 Let c = 3.06 + 4.94. What is the second smallest value in -3, -4, c, 0.36? -3 Let c = 114 + -572/5. Suppose 13*i - 15*i = -8. Let o be i/(-8) - 45/(-10). What is the second biggest value in -5, c, o? c Let f = -5762 - -5759. Which is the fourth smallest value? (a) -2/7 (b) 4 (c) 1107 (d) f c Let g = -1608.97243 - 0.02757. Which is the second smallest value? (a) 0.1 (b) 3 (c) g a Let t be (-5 - -6)*4/(-1 - -5). What is the fourth biggest value in -84, -3, t, 1/11? -84 Let f be 3 + (0/1)/(22 - 20). Suppose 296*d = 293*d - f. What is the fourth smallest value in 1/6, d, 170, 5? 170 Suppose -107*j - 27*j + 880 = 42*j. Which is the second smallest value? (a) j (b) -235 (c) 1/5 c Let u = 69.2784 - 66.3. Let l = 0.0216 + u. What is the third smallest value in l, 10, -0.5? 10 Let f = 21.5 - 21.7. What is the third smallest value in f, -0.297, -1? f Suppose -24 = -287*n + 299*n. What is the second smallest value in 16/23, n, 5? 16/23 Suppose -5*v + 683 + 262 = 0. Let w be ((-2)/3)/((-14)/v). Let i(f) = f**2 - 8*f - 4. Let h be i(w). Which is the third smallest value? (a) -4 (b) h (c) -1 b Let p = -8.1 + 7.7. Let c = -0.05 + 0.35. Let x = 302 + -300. What is the third smallest value in p, c, x? x Let w(k) = -k**2 + 220*k - 439. Let s be w(2). Which is the second smallest value? (a) s (b) -1 (c) -2/61 (d) -0.4 b Suppose 23 = -3*w + 11. Suppose -58*l - 9*l = -134. What is the biggest value in l, w, -2? l Let k = 0.25713 - -2.74287. What is the second biggest value in 1, k, -12412? 1 Let z = 1572 - 1572.4. Which is the third smallest value? (a) -1 (b) 0.5 (c) -56 (d) -3/11 (e) z e Suppose -g = -2*d + 23 + 23, -3*d = 2*g - 76. Let f be (30/(-9))/(16/d). Which is the third smallest value? (a) -4 (b) -3 (c) f b Let r = 82.83 - 83.33. Which is the biggest value? (a) -0.4 (b) 0.04 (c) r (d) -52 b Let g be -119*((-3)/6 + (-99)/(-210)). What is the second biggest value in 5/3, -0.4, 4, -2, g? g Let g = -635 - -634.6. Let h = -116 + 115.7. Which is the biggest value? (a) 2/15 (b) h (c) -5 (d) g a Let h = -2582 - -2647. What is the biggest value in 6, 0.2, -0.5, h? h Let l = -2.8194 - -3.8194. Let r = 2.9 - 3. What is the smallest value in l, 0.047, -1/5, r? -1/5 Suppose 2*b = -5*q + 12, -5 = -3*b + q - 2*q. Let m be b*-8*(-9)/48. What is the biggest value in 3/8, m, 1, -0.38? m Let w = 91.95428 - 0.03428. Let k = w - 92. What is the third biggest value in 5, -0.1, k? -0.1 Let m = 60419/6 - 10070. What is the fourth biggest value in -0.075, -8, m, 3/7? -8 Let r be 2 - (-42)/(-16) - 2/(-2). Let o = 8.28 - 7.98. What is the third biggest value in r, -1, 20, o? o Let h = 38412/7 + -5488. What is the fourth smallest value in -4, 46, h, 5, 4/5? 5 Let j = 18344 - 18356. Which is the second biggest value? (a) 0.1 (b) j (c) 0.3 a Let y = 894982/365 - 2452. Which is the biggest value? (a) 2/3 (b) -2 (c) y a Let z = 0.0973 - -0.4297. Let q = -1.827 + z. Which is the third smallest value? (a) -2/11 (b) q (c) -1/5 (d) 2/7 a Let a be ((-5607)/855 - -7)*(-40)/6. Let x = a - -878/285. What is the second smallest value in -1, 0.5, 3, x? x Suppose -16*i + 26*i = -50. What is the second smallest value in 7, i, 2/19, 2? 2/19 Let s = -2.97 + -0.03. Let l(h) = -2*h**3 - 14*h**2 - 5*h. Let c be l(-7). Let f be 13/(c/(-7) + 4). What is the second biggest value in -1, s, f? s Let i = 768291/67951 + 6/5227. Which is the third biggest value? (a) 0.1 (b) 5 (c) i a Let m be -3 - (-6 - 813/(-273)). What is the third smallest value in 0.2, 10, m? 10 Let f = 1221625/76 - 16074. What is the biggest value in -1/5, -3/2, -3, f, -2/3? f Let o = -2520 - -12601/5. Which is the third smallest value? (a) -6 (b) 0.05 (c) -5 (d) 0.3 (e) o b Let r be ((-10)/160)/(2/(-44)) + -1. What is the third smallest value in 117, r, -4? 117 Let r = 11412 + -11478. Which is the second biggest value? (a) 2/7 (b) r (c) 0.2 (d) 4/9 (e) -4 a Let v be (-4)/(-7)*42/56 + 84/490. Let r be (-2)/3 - (-2)/12. What is the smallest value in r, 1/6, -30, v? -30 Suppose 6 + 6 = 6*p. Let r = -43860 + 1227899/28. Let g = r + 27/4. What is the second smallest value in p, -0.5, g, -0.1? -0.1 Let n(h) = 4*h**2 + 4*h + 1. Let g be n(-2). Suppose 3 = 3*t - 2*v, t + 0*t + 2*v = g. What is the second smallest value in -0.06, -0.5, t? -0.06 Let z = -2 + 6. Suppose k + 5*n - 16 = -38, 2*k = 2*n + 4. What is the third biggest value in k, z, 3? k Let h = -36 + 36.49. Let w = -1116 - -1111.49. Let q = w - h. Which is the second smallest value? (a) q (b) -0.4 (c) -1 c Let i(p) = -p**3 - 9*p**2 + 9*p - 10. Let z be i(-10). Let g = -105 + 26. Let a = -78.7 - g. What is the third biggest value in 5, a, -0.5, z? z Let f = 0.142 + 0.058. Let m = -0.47 + 0.03. Let q = m - -0.4. What is the third smallest value in f, 1/3, 0, q? f Let i = 244 + -1224/5. Let h = -372 - -648. Let t = -278 + h. Which is the second smallest value? (a) t (b) 2/7 (c) -3 (d) i a Let x be (-3800)/(-4125) - (-2)/(-3). Let u = x + -1/220. What is the second biggest value in u, 4, -5/2? u Let k = 338.5 - 378. Let j = k - -37.3. What is the second biggest value in j, -0.03, 0.2? -0.03 Let o = 6.952 + -7.062. Which is the fourth biggest value? (a) -1 (b) -10 (c) o (d) 0.2 b Let w = -2274.7 + 2244. Which is the third biggest value? (a) 1/7 (b) -2/15 (c) -3/7 (d) 5/4 (e) w b Let i = -2851 - -2838. Which is the third smallest value? (a) -0.05 (b) i (c) 2 (d) -2 a Let z(g) = 6*g - 324. Let u be z(54). Which is the fifth biggest value? (a) -5/6 (b) 3/4 (c) 3 (d) -0.3 (e) u a Let m be (-225)/270*-9*1/10. What is the fourth smallest value in -3/8, -0.02, m, 0.3? m Let r = 13318 + -13318. Which is the third biggest value? (a) -4 (b) -2 (c) 11 (d) r (e) 2 d Let m = -101.87 - -99. Let s = 0.13 - m. Suppose 3*t + 2*p - 15 = 0, -3*p + 13 = 2*t + 3. Which is the second biggest value? (a) 14 (b) s (c) t c Let f = 1708/3505 + 79/701. Let t = 0.8 - 9.8. Which is the biggest value? (a) 1 (b) t (c) f (d) 3 d Let t = -3197 + 2734. Which is the biggest value? (a) 2 (b) 1/4 (c) t a Let n = -254.9 + 254.83. Which is the third biggest value? (a) 0 (b) 2 (c) n (d) -0.14 c Let p be (-301)/(-215) + -2 + -3 + 4. What is the
{ "pile_set_name": "DM Mathematics" }
placement from zazzwztzt. What is prob of picking 1 a, 1 t, and 1 w? 1/42 Three letters picked without replacement from iwbpd. Give prob of picking 1 w, 1 i, and 1 d. 1/10 What is prob of picking 3 i and 1 v when four letters picked without replacement from vivvvviivvv? 4/165 Four letters picked without replacement from {g: 5, a: 15}. What is prob of picking 3 a and 1 g? 455/969 Calculate prob of picking 1 j and 1 k when two letters picked without replacement from ddddjkdddjddk. 2/39 Three letters picked without replacement from zqhz. What is prob of picking 1 h and 2 z? 1/4 Three letters picked without replacement from xvnujjvuxuxnn. Give prob of picking 2 j and 1 n. 3/286 Calculate prob of picking 1 v and 1 t when two letters picked without replacement from ttateaavytietti. 2/35 Three letters picked without replacement from bzzbmhc. Give prob of picking 1 c, 1 z, and 1 m. 2/35 Three letters picked without replacement from qvhqhzzvq. Give prob of picking 2 z and 1 v. 1/42 Four letters picked without replacement from {k: 6}. What is prob of picking 4 k? 1 Three letters picked without replacement from ettlelteltetll. What is prob of picking 1 l, 1 e, and 1 t? 25/91 Two letters picked without replacement from tkttkkkddkkk. What is prob of picking 1 t and 1 d? 1/11 Calculate prob of picking 2 q and 2 v when four letters picked without replacement from vvvqvvqqeoovqv. 18/143 Two letters picked without replacement from {q: 14, l: 1}. Give prob of picking 2 q. 13/15 Three letters picked without replacement from bkbbkbbbbbbbbbkb. Give prob of picking 3 k. 1/560 Two letters picked without replacement from {a: 1, c: 5, z: 3}. What is prob of picking 1 c and 1 a? 5/36 Calculate prob of picking 4 u when four letters picked without replacement from {u: 4}. 1 Calculate prob of picking 1 i and 1 j when two letters picked without replacement from kmfmkjmfkfi. 1/55 Calculate prob of picking 1 x, 1 q, and 1 v when three letters picked without replacement from cxvcwcwqvwccwx. 1/91 What is prob of picking 1 y, 1 o, and 1 b when three letters picked without replacement from {o: 4, b: 2, j: 1, y: 2}? 4/21 Two letters picked without replacement from {c: 2, s: 2, r: 1, l: 1, d: 2}. Give prob of picking 1 d and 1 l. 1/14 Calculate prob of picking 1 q, 1 f, 1 i, and 1 a when four letters picked without replacement from {d: 1, a: 1, f: 1, h: 1, i: 2, q: 2}. 2/35 Calculate prob of picking 1 n, 1 y, and 1 j when three letters picked without replacement from nynjnfyjje. 3/20 Calculate prob of picking 2 k and 1 b when three letters picked without replacement from kbkkkkkkkkkbk. 5/13 What is prob of picking 1 w and 1 t when two letters picked without replacement from {k: 1, t: 2, w: 2}? 2/5 Three letters picked without replacement from vzlvzlzzgzzzz. Give prob of picking 1 l and 2 v. 1/143 What is prob of picking 1 z and 1 q when two letters picked without replacement from buyqypz? 1/21 Calculate prob of picking 1 s, 1 t, and 1 b when three letters picked without replacement from {a: 4, b: 2, s: 2, t: 3}. 4/55 Three letters picked without replacement from ooyomomyooyo. Give prob of picking 1 o, 1 m, and 1 y. 21/110 What is prob of picking 2 e when two letters picked without replacement from {h: 3, e: 12}? 22/35 Calculate prob of picking 1 o and 2 r when three letters picked without replacement from ooorrrooorooororoara. 77/380 Four letters picked without replacement from lnlpxjxxpnnxlxnxxxxl. Give prob of picking 3 x and 1 j. 28/1615 Four letters picked without replacement from {q: 3, n: 1, r: 8, a: 6}. Give prob of picking 1 q and 3 r. 14/255 What is prob of picking 1 g and 1 u when two letters picked without replacement from smsmsssmgugs? 1/33 What is prob of picking 3 z when three letters picked without replacement from yzzzzzyzyzyyzzzzzyz? 286/969 Three letters picked without replacement from hbhh. What is prob of picking 3 h? 1/4 Four letters picked without replacement from qxxxxxxqxqxqxq. Give prob of picking 2 x and 2 q. 360/1001 Two letters picked without replacement from {y: 5, x: 2, a: 8}. Give prob of picking 1 x and 1 a. 16/105 Three letters picked without replacement from {o: 11, d: 1, v: 3}. What is prob of picking 3 v? 1/455 What is prob of picking 1 r and 2 c when three letters picked without replacement from nzdzzddnzrcddcnz? 1/560 Three letters picked without replacement from {n: 3, s: 5, d: 5}. What is prob of picking 2 n and 1 s? 15/286 Calculate prob of picking 1 c and 2 l when three letters picked without replacement from lcllc. 3/5 What is prob of picking 1 g and 3 c when four letters picked without replacement from ckccgckkck? 1/21 Four letters picked without replacement from lqxlkqg. Give prob of picking 2 g and 2 l. 0 Two letters picked without replacement from {u: 1, s: 3, d: 1}. What is prob of picking 1 d and 1 u? 1/10 What is prob of picking 3 f when three letters picked without replacement from {p: 1, j: 1, f: 4, q: 6, a: 3}? 4/455 What is prob of picking 1 k and 1 y when two letters picked without replacement from ynykdukd? 1/7 What is prob of picking 1 j and 1 u when two letters picked without replacement from jjuj? 1/2 What is prob of picking 1 x and 2 v when three letters picked without replacement from vvxoblbx? 1/28 Two letters picked without replacement from aauhzlzbbaaz. Give prob of picking 2 b. 1/66 What is prob of picking 1 y, 1 w, and 1 u when three letters picked without replacement from {q: 2, e: 1, u: 4, y: 4, w: 1, g: 2}? 4/91 Calculate prob of picking 1 p and 2 v when three letters picked without replacement from {s: 1, y: 3, p: 6, t: 2, v: 2, z: 4}. 1/136 What is prob of picking 2 x when two letters picked without replacement from hhxxxhi? 1/7 Four letters picked without replacement from {m: 1, z: 2, r: 5, y: 1, c: 5, l: 2}. What is prob of picking 1 l, 1 z, and 2 r? 2/91 Calculate prob of picking 2 q and 2 p when four letters picked without replacement from {q: 2, p: 11}. 1/13 Three letters picked without replacement from iiriirrrrriiiirrir. Give prob of picking 3 i. 7/68 Calculate prob of picking 1 s, 1 v, and 1 a when three letters picked without replacement from bvsonna. 1/35 What is prob of picking 1 c and 1 s when two letters picked without replacement from {c: 3, f: 7, s: 3, k: 1}? 9/91 Two letters picked without replacement from dpdvbbppqvdddgvddvp. Give prob of picking 2 b. 1/171 Four letters picked without replacement from xxxx. Give prob of picking 4 x. 1 Four letters picked without replacement from {h: 1, i: 1, q: 1, x: 1, o: 2, p: 1}. Give prob of picking 1 q, 1 o, 1 h, and 1 x. 2/35 What is prob of picking 1 h and 1 i when two letters picked without replacement from {i: 1, h: 1, o: 2, c: 2, y: 1, w: 2}? 1/36 Calculate prob of picking 1 h, 2 r, and 1 k when four letters picked without replacement from bbbbhhkbkrhbrkkbb. 3/595 Three letters picked without replacement from {t: 9, w: 2}. What is prob of picking 3 t? 28/55 Three letters picked without replacement from ugaguuug. Give prob of picking 1 a and 2 g. 3/56 What is prob of picking 2 m when two letters picked without replacement from {t: 4, q: 1, x: 1, m: 4, p: 1, u: 9}? 3/95 Four letters picked without replacement from {y: 3, k: 6, f: 1, w: 2, l: 6}. Give prob of picking 1 y, 1 l, and 2 k. 3/34 Two letters picked without replacement from {p: 3, r: 3, h: 2}. Give prob of picking 1 r and 1 h. 3/14 What is prob of picking 1 k, 2 m, and 1 l when four letters picked without replacement from {l: 4, w: 6, k: 1, m: 5}? 2/91 Calculate prob of picking 1 p and 2 d when three letters picked without replacement from huhdhpddhuudhup. 12/455 Calculate prob of picking 2 f and 1 l when three letters picked without replacement from {z: 2, m: 1, f: 2, n: 2, l: 1, q: 1}. 1/84 What is prob of picking 2 n when two letters picked without replacement from {n: 2, i: 1}? 1/3 Calculate prob of picking 1 a and 1 g when two letters picked without replacement from lxablggrrlarrrr. 4/105 Calculate prob of picking 1 p and 1 y when two letters picked without replacement from bybzybzzzpxdyzbbppb. 1/19 Three letters picked without replacement from ahrr. Give prob of picking 1 h and 2 r. 1/4 Two letters picked without replacement from {d: 1, r: 1, e: 1, k: 2, x: 5, o: 6}. What is prob of
{ "pile_set_name": "DM Mathematics" }
placement from itwztttbiw? 0 Three letters picked without replacement from kqoqqqozoqkffzqqff. What is prob of sequence qoq? 7/272 Two letters picked without replacement from {c: 1, d: 3}. Give prob of sequence dc. 1/4 What is prob of sequence aaqa when four letters picked without replacement from qqqqqqaqaqqaqaaqqqq? 35/3876 What is prob of sequence bb when two letters picked without replacement from hbbhq? 1/10 Calculate prob of sequence hkhk when four letters picked without replacement from llhjjhhhssklhh. 0 What is prob of sequence sp when two letters picked without replacement from sspps? 3/10 Calculate prob of sequence yiyy when four letters picked without replacement from {i: 3, y: 9}. 7/55 What is prob of sequence zi when two letters picked without replacement from iqqaaaaaarraqzaai? 1/136 Two letters picked without replacement from {u: 4, d: 2, r: 2, x: 2, o: 3}. What is prob of sequence od? 1/26 Calculate prob of sequence jxjj when four letters picked without replacement from {j: 11, q: 2, x: 1}. 15/364 Four letters picked without replacement from {d: 5, e: 1, h: 3, m: 2, w: 1}. Give prob of sequence hhhd. 1/396 What is prob of sequence iici when four letters picked without replacement from {c: 3, w: 4, i: 4}? 1/110 Calculate prob of sequence oono when four letters picked without replacement from oonnooooooononooooon. 455/3876 What is prob of sequence ana when three letters picked without replacement from {o: 1, a: 3, h: 1, s: 4, n: 4}? 2/143 Calculate prob of sequence dcc when three letters picked without replacement from clcllccrctdrttlcrcc. 28/2907 Two letters picked without replacement from {j: 2, t: 8, c: 1, g: 2}. What is prob of sequence gg? 1/78 Four letters picked without replacement from {u: 2, r: 2}. What is prob of sequence rruu? 1/6 Two letters picked without replacement from shsrhrsuhhssvvruhsbs. What is prob of sequence ss? 21/190 What is prob of sequence zzyt when four letters picked without replacement from {t: 1, y: 2, z: 2, k: 6}? 1/1980 Three letters picked without replacement from vcvvlll. Give prob of sequence lcl. 1/35 What is prob of sequence lzkm when four letters picked without replacement from {e: 3, z: 1, m: 1, k: 1, l: 5, p: 6}? 1/11424 Three letters picked without replacement from tikiikih. Give prob of sequence iti. 1/28 Four letters picked without replacement from {n: 2, j: 9, d: 7}. Give prob of sequence jnnj. 1/510 Two letters picked without replacement from lxuxlxuxxl. Give prob of sequence ul. 1/15 Three letters picked without replacement from {h: 2, a: 5, g: 9}. Give prob of sequence gag. 3/28 Calculate prob of sequence hhhr when four letters picked without replacement from {r: 3, n: 6, h: 6}. 1/91 Two letters picked without replacement from sssssssskzsssz. Give prob of sequence zs. 11/91 Calculate prob of sequence potk when four letters picked without replacement from {z: 2, p: 3, e: 5, o: 1, k: 7, t: 2}. 7/19380 Two letters picked without replacement from {v: 8, p: 5, z: 2}. Give prob of sequence zz. 1/105 Two letters picked without replacement from {v: 3, e: 8}. What is prob of sequence vv? 3/55 Three letters picked without replacement from sssss. What is prob of sequence sss? 1 Two letters picked without replacement from wwucw. Give prob of sequence wu. 3/20 Two letters picked without replacement from jjjaoojaojooo. Give prob of sequence aj. 5/78 Three letters picked without replacement from mcmb. Give prob of sequence cbm. 1/12 What is prob of sequence rq when two letters picked without replacement from {u: 7, q: 3, r: 5, k: 1}? 1/16 Three letters picked without replacement from zznjzjznjnzajjznzn. Give prob of sequence jna. 25/4896 What is prob of sequence el when two letters picked without replacement from {e: 3, y: 9, l: 7}? 7/114 Two letters picked without replacement from {k: 3, p: 7, c: 1, w: 1}. Give prob of sequence wc. 1/132 Two letters picked without replacement from nkwet. What is prob of sequence ke? 1/20 Two letters picked without replacement from vvaavvvv. Give prob of sequence aa. 1/28 Calculate prob of sequence rdv when three letters picked without replacement from drlrdrrladv. 2/165 Two letters picked without replacement from mmkawmakmmwmamakkmmm. What is prob of sequence ma? 2/19 Four letters picked without replacement from rrrojrjoroojnoojr. Give prob of sequence norj. 3/1190 Two letters picked without replacement from {r: 1, p: 2, t: 3, o: 2, z: 6, w: 4}. What is prob of sequence oo? 1/153 Three letters picked without replacement from uzuahhaw. Give prob of sequence hwu. 1/84 Three letters picked without replacement from {e: 5, a: 1, t: 3, h: 5, j: 2}. Give prob of sequence ejh. 5/336 Four letters picked without replacement from ccciicciic. Give prob of sequence iiii. 1/210 What is prob of sequence ttth when four letters picked without replacement from thttht? 2/15 Three letters picked without replacement from {c: 1, b: 6, n: 5, m: 5}. What is prob of sequence cbm? 1/136 What is prob of sequence zh when two letters picked without replacement from zxh? 1/6 Calculate prob of sequence hl when two letters picked without replacement from {l: 4, r: 6, s: 1, h: 6}. 3/34 Three letters picked without replacement from {y: 2, e: 2}. Give prob of sequence eyy. 1/6 Calculate prob of sequence rs when two letters picked without replacement from {r: 1, s: 17}. 1/18 Two letters picked without replacement from {p: 4, h: 3}. What is prob of sequence hp? 2/7 Two letters picked without replacement from citzcizirioit. Give prob of sequence ii. 5/39 What is prob of sequence xa when two letters picked without replacement from {x: 7, a: 5}? 35/132 Calculate prob of sequence yxm when three letters picked without replacement from {y: 1, x: 1, m: 1, b: 4, z: 6}. 1/1716 Calculate prob of sequence gqo when three letters picked without replacement from {r: 2, o: 1, g: 1, y: 3, q: 1, i: 5}. 1/1716 Two letters picked without replacement from {k: 7, y: 7}. Give prob of sequence yy. 3/13 Calculate prob of sequence lll when three letters picked without replacement from cllclcccclczzllzcl. 35/816 Four letters picked without replacement from {j: 3, o: 15}. What is prob of sequence oojo? 91/816 What is prob of sequence kuk when three letters picked without replacement from kkuuukk? 6/35 Calculate prob of sequence fw when two letters picked without replacement from sssssmfuiisiiimswfi. 1/171 Four letters picked without replacement from {a: 2, d: 5, f: 3, e: 2}. What is prob of sequence aead? 1/594 Calculate prob of sequence ukur when four letters picked without replacement from {k: 1, u: 3, r: 1, o: 2}. 1/140 What is prob of sequence yv when two letters picked without replacement from {y: 1, v: 2, c: 14}? 1/136 Calculate prob of sequence ymmm when four letters picked without replacement from mmmmmmxym. 5/72 Calculate prob of sequence nmb when three letters picked without replacement from {n: 2, v: 1, h: 1, m: 1, b: 2}. 2/105 Two letters picked without replacement from {k: 3, w: 3, g: 1, n: 13}. What is prob of sequence nk? 39/380 Two letters picked without replacement from ebtbwoz. Give prob of sequence bw. 1/21 Three letters picked without replacement from wwswswswwwwwwwww. Give prob of sequence www. 143/280 Four letters picked without replacement from nqgnnndginidvnngdn. Give prob of sequence gidq. 1/4080 What is prob of sequence jj when two letters picked without replacement from jkjeejjeevjjvjjk? 7/30 Two letters picked without replacement from ktktkttwtwqkktaaktaa. Give prob of sequence ak. 6/95 Three letters picked without replacement from lxccccxccxxccc. Give prob of sequence clx. 3/182 Two letters picked without replacement from aar. What is prob of sequence ra? 1/3 What is prob of sequence ydx when three letters picked without replacement from {y: 3, l: 2, n: 3, d: 1, x: 1, p: 1}? 1/330 What is prob of sequence hhuu when four letters picked without replacement from uuuuhuuuhuhu? 2/55 Two letters picked without replacement from {s: 1, u: 6, v: 4, r: 2}. Give prob of sequence vr. 2/39 What is prob of sequence tj when two letters picked without replacement from jjjt? 1/4 Calculate prob of sequence slb when three letters picked without replacement from bsslsls. 4/105 Two letters picked without replacem
{ "pile_set_name": "DM Mathematics" }
of -2*g**3/3 + 14*g**2 + 7*g - 13. What is the least common multiple of 24 and p(6)? 24 Suppose -4*t = 3*n - 8, -2*n = -0*n + 3*t - 6. Suppose y = -n*y - 12. Let p = y - -30. Calculate the smallest common multiple of p and 12. 36 Let f = -1109/765 - -603677/420750. Calculate the common denominator of 99/1250 and f. 13750 Let t(x) = 2419*x - 1. Let o be t(-2). Let m = o + 58013/12. Find the common denominator of m and (162/105)/(0 - 9/(-30)). 84 Let c(z) = z**2 - 6*z + 8. Let l be c(7). Let i be 0 - (-18 - l/5). Suppose -36 = -23*p + i*p. What is the least common multiple of 40 and p? 360 Let s be 1459/9620 - 2/13. Let d = 49129403/28860 + s. Let o = 1685 - d. Find the common denominator of o and 11/18. 18 What is the common denominator of 336/(-160)*(-55)/6 and 9/48*(-196)/35? 20 Calculate the common denominator of (1/8*2)/(356/(-8)) and -9/22. 1958 Let v be 27229766/(-1432) - (-7 - 46/(-8)). Let t = v - -19014. What is the common denominator of 113/10 and t? 1790 Let v = 41933/5 - 8381. What is the common denominator of 22/5045 and v? 5045 Let t(w) = 85*w + 2996. Calculate the smallest common multiple of t(-35) and 3101. 9303 Suppose -3*j = -5*w + 19, 0 = 312*w - 308*w - 3*j - 17. What is the smallest common multiple of w and 1 + (3 - 16)*-1? 14 Let u = -938 - -4673/5. Let x(m) = 38*m**2 - 3*m - 2. Let v = -97 + 96. Calculate the common denominator of u and x(v). 5 Let l(n) = 5*n**2 + 4*n + 3. Let x(z) = -z**2 - 1. Let j(g) = -l(g) - 4*x(g). Let u be j(-4). Calculate the least common multiple of (70/u)/5*(-1)/(-2) and 1. 7 Let b = -309766 + 118330679/382. Calculate the common denominator of b and ((1 - 4) + 23)/(-8 - -1). 2674 Suppose -5*u - 3*t = -2*t - 138, 5*t = 3*u - 94. Calculate the common denominator of (-1508)/(-4284) + u/(-63) and -73/28. 476 Let j = -720491/6 - -119689. Let r = j + 392. Calculate the common denominator of (-28)/(1680/(-135)) - (-195)/(-100) and r. 30 Let j = -12 - -6. Let l = -1 - j. What is the least common multiple of l and (-80)/56*-7 - 3? 35 Calculate the lowest common multiple of 63 and (-4)/(-70) + (-455452)/(-4340). 315 Suppose -5*u - 3*d + 14 = 0, -6*d + 2*d = -5*u - 7. Suppose -76*p + 1937 = 541 - 2176. Calculate the least common multiple of p and u. 47 Suppose 5*a - 5 = 5*y, -4*a + 4*y = y + 1. Find the common denominator of 19/6 and -9*(a - 10/(-5))/10. 30 Let t = -4314 - -43229/10. Suppose 44 + 264 = 7*z. Calculate the common denominator of t and (z + 0)*(-63)/72. 10 Suppose 11*s + 501 = -720. Let i = s - -133. Calculate the smallest common multiple of i and 18. 198 Suppose -5*l + 9 = -4*n - 0*l, -4*l = -3*n - 8. Suppose n*r - 16 = -5*c - 2, -16 = 4*r. Find the common denominator of (-82)/(-32) - 2/c and -19/6. 48 Suppose 4*o - 106 + 6 = 0. Let t(d) = d - 9. Let y be t(5). Calculate the smallest common multiple of o and 7 + 0*y/(-12). 175 Suppose 3*a - 70 = 2*h, -5*a - 2*h - 2*h = -80. Suppose -36*y + 26*y = -57*y + 470. What is the smallest common multiple of y and a? 20 What is the common denominator of (-7 - (-285)/150) + 14 and 19*(-23)/90 + 3? 90 Let d be (12407/(-15) + 1)/((-8)/(-20)). Let s = d + 62027/30. Find the common denominator of s and -2 - 64/(-36) - (-127)/72. 120 Let v = -1034 + 1042. Let d(x) = -x - 4. Let o be d(-6). Suppose -t + y = -9, -2*y - o*y + 48 = 3*t. What is the least common multiple of v and t? 24 Suppose t - 31 = -0*f - 5*f, 4*f + 3*t = 27. Let u = -4 - f. What is the smallest common multiple of 24 and 978/30 + (-4)/u? 264 Let v = -4241 - -4247. Let o(f) = -f**3 - f**2 + 8*f + 12. Calculate the smallest common multiple of v and o(-6). 144 Let c(a) = -4*a + 22. Let p be c(-9). Let u = p + -28. What is the smallest common multiple of ((-152)/10)/((-12)/u) and 4? 76 Suppose 5*x = 5, 2*q + 2*x + 2 + 38 = 0. Calculate the common denominator of (q/38)/((-32)/(-96)) and (-2)/6 - 6/(-4). 114 Let k be (538/(-4))/((-19)/38). Let v = k - 2117/8. Calculate the common denominator of -97/34 and v. 136 Let i = -291 + 303. Find the common denominator of 1/(-41)*10 - -1 and 43 + -43 + 146/i. 246 Let w(x) = 1645*x + 8231. Let f = 7 - 4. What is the lowest common multiple of w(-5) and 9/3*f + -1? 24 Calculate the common denominator of 44/25 and ((-3)/(-606))/((-1)/(-5)*(-125)/400). 2525 Let n = -39 + 60. Let i be 9/n + (-4003784)/(-1565760). Let t = i + 55/1398. What is the common denominator of -53/18 and t? 360 Let t(r) = -r**3 - 12*r**2 - 13*r - 18. Let y be t(-11). Let k(b) = -4 + y*b - 3*b - 4*b. What is the least common multiple of k(-2) and 10? 10 Suppose 0 = 2*c + 5*k - 2093, 4*c - 6*k - 5616 = -1446. What is the least common multiple of 1160 and c? 10440 Let m = 196 - 140. Suppose -11*d + 4*y + 158 = -8*d, 3*y + m = d. Calculate the lowest common multiple of 45 and d. 450 Let t = -52 - -31. Let l = -115444/23 + 5018. Find the common denominator of l and t. 23 Let t be (214/(-212) + 1)*-1. Let v be 4/22 - ((-288726)/9328 + 19). Let n = t - v. What is the common denominator of n and -127/12? 24 Let b be 1/1 - 90597/90623. Let s = b - 815627/69710. What is the common denominator of s and -91/20? 20 Let u = 37411/40 - 3749/4. Let z = -126/25 - -161/275. Calculate the common denominator of z and u. 440 Suppose 4*t + 81 = 21. What is the lowest common multiple of 4 and 5/t*18*-11? 132 Let v(o) = -o**3 + 27*o**2 + 9*o - 225. Let u be v(27). Find the common denominator of -29/291 and 3480/(-96)*(-4)/u. 1746 Let b be (0/(-2))/4 + (-68732)/504. Let t = -927/7 - b. Calculate the common denominator of t and 35/134. 1206 Let m = 28838 - 1384123/48. Calculate the common denominator of m and 1281/(-11529)*(-471)/26. 624 Let m = -374 - -1030. What is the lowest common multiple of m and 8? 656 Let s(w) = -353*w**2 + 4*w + 5*w + 352*w**2 + 19. Suppose -2*v + 6 + 14 = 0. What is the smallest common multiple of 18 and s(v)? 18 Suppose 14*o - 15*o = 0. Suppose o = 3*f + 2*w - 48, 5*w - 13 = -2*f + 8. Let c = 1 - -6. Calculate the least common multiple of c and f. 126 Suppose 0 = 3*g - 4*b + 228, b + 380 = 19*g - 24*g. Let m = -42 - g. What is the least common multiple of m and 104? 1768 Let f = -14017/12 - -1170. Suppose 0 = -2*u - 7*u + 279. What is the common denominator of ((-27)/u)/(6*(-5)/(-45)) and f? 372 Let x = 7223/2 + -3619. Let r = -13/22 - 3/88. Calculate the common denominator of x and r. 8 Let p(s) = -3*s**3 - 5*s**2 + 5*s - 7. Let c be p(16). Let a be -188829*(1 - (-45)/(-42)). Let f = c + a. Find the common denominator of f and 29/28. 28 Calculate the common denominator of 67/5793 and (-1365)/143 - -8 - 3. 63723 Let z(a) = 2*a**2 - 173*a - 1770. What is the least common multiple of 112 and z(-10)? 1120 Let f = -12361 + 13027. Calculate the least common multiple of f and 1998. 1998 Let p be (43/(-234))/(2*(-92472)/2537046). Let r = p + 1/50089. What is the common denominator of r and 65/6? 48 Let i = 62677 + -14791719/236. What is the common denominator of i and 5/(20/54) + 0? 236 Suppose 3*f - 4*h - 763 = 0, 7*h + 803 = 3*f + 11*h. Suppose 33*k - f = 1059. Calculate the least common multiple of k and 12. 120 Let o(y) = 29*y + 12. Let v be o(0). What is the common denominator of 80/39 and (-62)/15 - (-72)/v? 195 Let p = 39/169102910 - 2318392455521/63159936885. Let h = 2924/83 + p. Find the common denominator of 59/72 and h. 360 Suppose -3*f + 2 + 28 = -3*z, 3*z = f - 14. Let v be (12/f)/(3/38). Suppose 3*g = 2*g + v. What is the smallest common multiple of g and 10? 190 Suppose -3*n = -4 - 50. Suppose -2*q + n = -0. Suppose 4*d + 2*h = 3*h + 27, -21 = -5*d - 3*h. Calculate the lowest common multiple of q and d. 18 Let v(z) = -40*z. Let r(m) = -m**3 + 36*m**2 + 28*m + 341. What is the smallest common multiple of v(-1) and r(37)? 40 Let t = -2377 - -3512. What is the least common multiple of t and 681? 3405 Calculate the common denominator of -85/128 and (75/625)/((-416)/273). 3200 Let g(j) = 5*j - 110. Let r be g(23). Suppose -2*m = -4*q, 13 = 4*m + 3*q - 31. Suppose r*i = 3*i + m. What is the smallest common multiple of 1 and i? 4 Suppose n - 6 = 12. Let g(v) = -v**2 - 26*v + 56. Let t be g(-28). Suppose 14 = q - t. Calculate the least common multiple of q and n. 126 Let x = 1710353 + -20610923/12. Let b = x - -7216. Let n = -691/138 - 226/23. What is the common denominator of b and
{ "pile_set_name": "DM Mathematics" }
cending order. k, 1, q Let s be (-1)/(-3)*3 - -8. Suppose -4*c + c = s. Put -1, 2, c in ascending order. c, -1, 2 Let j(n) = -2*n + 1. Let y be j(-1). Suppose -3*r - 30 = 2*r + 5*u, -4*u = -2*r + 12. Put y, r, 0 in decreasing order. y, 0, r Suppose k + 2*k + 6 = 0. Put 4, k, -5 in descending order. 4, k, -5 Suppose 3*g + 2*u - 8 - 3 = 0, 0 = -2*g - 5*u + 22. Let q = g - 3. Let y(r) = r**2 - 7*r + 11. Let m be y(6). Sort q, m, -1. q, -1, m Let t = 14 - 13. Sort -2, -0.2, t in descending order. t, -0.2, -2 Let r = -13 + 9. Let h be (-10)/20 + (-3)/(-2). Sort 0.3, h, r in descending order. h, 0.3, r Let d be (-30)/(-34) + 2*(-7)/14. Sort -1/5, 3, d in descending order. 3, d, -1/5 Let c = 1 - 4. Let z be -1*2 - -1 - 2. Let x = z - 2. Put 1, x, c in decreasing order. 1, c, x Let u be (1 - 2)/(2/8). Suppose -7*d + 12 = -4*d. Put d, u, 0.4 in decreasing order. d, 0.4, u Let f(l) = 7*l**2 - 4*l + 2. Let y be f(1). Sort y, 1, 4 in descending order. y, 4, 1 Let q(f) = -2*f - 18. Let w be q(-10). Suppose 0 = 2*t + 2*t + 20. Sort w, t, 5 in decreasing order. 5, w, t Let q(x) = -4*x**2 + x + 1. Let w(v) = -5*v**2 + v + 1. Let a(u) = 4*q(u) - 3*w(u). Let l be a(2). Let j be l - 2*3/12. Put j, 0, 5 in descending order. 5, 0, j Let s = 1 + -1.02. Let u = -10.98 + 9. Let g = u + s. Sort -1, -1/2, g in increasing order. g, -1, -1/2 Let r(n) be the first derivative of -n**4/4 + 5*n**3/3 + 2*n**2 + 8*n + 7. Let s be r(6). Let m be (-3)/(-6) + (-26)/20. Sort m, s, 0.5 in descending order. 0.5, m, s Let z = 42 + -12. Let x be 11/21 - z/45. Sort x, -1/9, -6. -6, x, -1/9 Let m = 13 - 17. Sort m, -1, -5, 4 in descending order. 4, -1, m, -5 Let x be -2 - (36/6)/(3/(-2)). Put 1/9, 0, -5, x in increasing order. -5, 0, 1/9, x Let h = -15 + 19. Let y = -1.4 + -1.8. Let v = 3 + y. Put v, h, 0.4 in decreasing order. h, 0.4, v Let z = -0.2 + 0. Let k be ((-16)/(-14))/(20/70). Sort z, -2/5, k in descending order. k, z, -2/5 Suppose 0 = -3*v - 2 + 5. Let l be (v/3)/(7/21). Put -3, -4, l in ascending order. -4, -3, l Let w be 4/(-14) + 69/21. Suppose 8*p = w*p. Suppose p = z - 2*z. Put -5, z, 5 in decreasing order. 5, z, -5 Let g be 0/(-1 - 2) - -1. Sort g, 5, 2. g, 2, 5 Suppose 0*t - t + 4 = 0. Suppose 0 = 2*z - 0*z + 12. Sort -3, z, t. z, -3, t Let g = 3.9 - -0.1. Let k = 0.4 - 0.8. Put k, -2, g in descending order. g, k, -2 Suppose 2*z = -6*z. Sort 2, z, -3 in descending order. 2, z, -3 Let z(f) = -2*f - 7. Suppose -4*i = 4 + 20. Let k be z(i). Let h(r) = -r**3 - 5*r**2 - 6*r - 6. Let l be h(-4). Put -5, k, l in increasing order. -5, l, k Let f = 0.096 - -0.004. Sort 0.3, -4, f. -4, f, 0.3 Let l = -5 - -8. Suppose -3*x + l = -12. Let i be ((-117)/18 + 5)/(6/20). Put -2, x, i in decreasing order. x, -2, i Suppose 3*g + 4 + 5 = 0. Sort 4, -5, g in descending order. 4, g, -5 Let b = 7 + -7. Sort -2, b, -8. -8, -2, b Let v = -0.34 - -0.5. Let m = 23 + -22.96. Let b = m + v. Put -2, -0.3, b in ascending order. -2, -0.3, b Suppose -a - 5*o = -10, 5*a + 5*o = -0*o - 10. Let x = -2 - -7. Sort -2, x, a. a, -2, x Let y = 9.4 - -0.6. Let j = 10 - y. Put j, 1/3, -0.5 in descending order. 1/3, j, -0.5 Suppose -9*y - 27 = -18. Sort -2, 4, 5, y in decreasing order. 5, 4, y, -2 Let s(j) be the first derivative of j**2/2 + 6*j + 1. Let x be s(-7). Let c be x/4 - 13/(-4). Put -4, -5, c in descending order. c, -4, -5 Suppose 5*h = -4*b - 37, 4*h + 0*b + 34 = -b. Sort 5, h, 2 in increasing order. h, 2, 5 Suppose -r = 1, 3*s - 2*r - 3 - 5 = 0. Suppose -24 = -5*l + p, -4*l - 21 = -8*l - p. Sort l, s, 3 in decreasing order. l, 3, s Let y(p) be the third derivative of -p**6/120 - p**5/15 - p**4/12 - 2*p**2. Let v be y(-2). Let n = -5 - v. Sort -4, n, 5 in ascending order. -4, n, 5 Let s(v) = -v**2 + 5*v + 8. Let b be s(6). Let q = 45 + -40. Put q, b, 2/15 in descending order. q, b, 2/15 Let h(w) be the second derivative of -w**5/20 - w**4/3 - w**3/6 - 6*w. Let z be h(-4). Put 0, z, -2 in increasing order. -2, 0, z Let m = 1 - 17. Let b = 20 + m. Sort 2/3, -4, b in ascending order. -4, 2/3, b Let n be (-120)/(-35) - (-6)/(-14). Put n, -1, 0 in decreasing order. n, 0, -1 Suppose -3*q + 6 = g - 2*g, q - 3*g = 2. Let a = q + 1. Suppose 3*d = 6 + 6. Put -4, d, a in descending order. d, a, -4 Let u(n) = -3*n**2 + 5*n. Let y be u(2). Let j = -11 + 4. Sort y, j, 0. j, y, 0 Let p(t) = 3*t - 5. Let g be p(3). Let c = 3 - g. Put c, 0, -3 in increasing order. -3, c, 0 Let b(h) = h**3 + 6*h**2 + 9*h + 16. Let d be b(-5). Let c = -2 - -5. Put c, 5, d in decreasing order. 5, c, d Let r = 0.023 + -20.023. Let p = 20.3 + r. Sort 0.1, -1, p in ascending order. -1, 0.1, p Let t be 12/(-28)*-2*7. Let k(b) be the second derivative of b**5/20 - b**4/2 - b**2 + 2*b. Let y be k(t). Put y, -5, 0 in descending order. 0, y, -5 Let m = -10 + 12. Sort m, 3, -2/19 in decreasing order. 3, m, -2/19 Let k = -37 + 37.01. Sort 2/5, -1/4, k in descending order. 2/5, k, -1/4 Let n = 0.1 - 0.4. Sort n, -4, -4/5, 10 in ascending order. -4, -4/5, n, 10 Let y = -3 - -3.6. Let u = y + -0.9. Put -4, u, 3/7 in descending order. 3/7, u, -4 Suppose 15*z - 16 = 7*z. Put z, -2, -4 in ascending order. -4, -2, z Let l = -6 - -3. Put 4, -2, l in increasing order. l, -2, 4 Let d(a) = a**3 + 9*a**2 + 7*a - 8. Suppose -2*j + 3*j + 6 = 0. Let y be 39/(-5) - j/(-30). Let f be d(y). Sort -0.4, 3, f in descending order. 3, f, -0.4 Let q(h) = h + 15. Let o be q(-15). Suppose -3*b + 2*b - 6 = o. Sort -4, b, 3 in decreasing order. 3, -4, b Suppose -3*n + 20 = -0*n + 2*x, -5*n - 2*x + 28 = 0. Suppose 5*h + 4 = 2*a, 2*a = n*h - a - 1. Suppose 2*i + 0 = 2. Sort h, i, 5 in ascending order. h, i, 5 Let f = 107 + -103. Sort 0.04, f, 5, -4. -4, 0.04, f, 5 Suppose -4*z - k - 18 = -7*z, -3*z - 2*k = -9. Put z, 3, -5 in increasing order. -5, 3, z Let x = 6 - 11. Suppose -4*b + a = 16, 3*b + 5*a - 4 = 4*b. Sort b, x, -2 in decreasing order. -2, b, x Let v = 1.6 - 1.1. Let m be -4*(-1)/(-2) - -6. Sort -3/2, v, m in decreasing order. m, v, -3/2 Let y = -41 - -37. Suppose 6 = -h + 3*h. Suppose 6 = -2*u - 4*l, -u - 5*l = 4*u - 5. Put u, h, y in decreasing order. u, h, y Let f(v) = -2*v - 74. Let n be f(-36). Sort -27, n, 2, 5 in descending order. 5, 2, n, -27 Let z(k) = -3*k - 4. Let l be z(-3). Let h(w) = -2*w - 9. Let p be h(-10). Suppose -5*x + 0*t + 3*t = 30, -t + p = -2*x. Put -4, x, l in increasing order. -4, x, l Let c(z) = z**3 + 4*z**2 - 5*z + 4. Let f be c(-5). Let k = 361 + -356. Put f, 3, k in descending order. k, f, 3 Suppose -2*r = 1 - 11. Let y(m) = m**3 + m**2 + 2*m + 3. Let g be y(-2). Put r, g, -2 in decreasing order. r, -2, g Suppose 187 = 5*q + 47. Put 5, q, 1 in decreasing order. q, 5, 1 Let z = 0.7 + -0.4. Let x = 7 + -9.3. Let j = x + 2. Sort 0, j, z in ascending order. j, 0, z Let p(y) be the third derivative of y**5/30 + y**4/8 + y**3/2 - y**2. Suppose m - w = -1, 0*m + w - 7 = 4*m. Let l be p(m). Sort l, -1, -2 in descending order. l, -1, -2 Suppose -2*x + 20 = x - 4*u, -4*x - 15 = 3*u. Sort x, 7, -4 in decreasing order. 7, x, -4 Let t = 3 + 3. Let h = t - 6. Sort -2/9, -2, h in ascending order. -2, -2/9, h Suppose -c - 6 = -4*c. Let k be (-10)/(-4) + (-3)/c. Sort 0, 3, k in decreasing order. 3, k, 0 Let f = 101 + -104. Sort -0.3, f, 7, 1. f, -0.3, 1, 7 Let q = -126 - -124.1. Sort 0, q, -5. -5, q, 0 Let a = -36 - -37. Sort -6, -5, a, 3 in decreasing order. 3, a, -5, -6 Let m = 14 - 10. Let x = 1 + m. Sort -1/10, x, -2/9. -2/9, -1/10, x Let m = 24 - 14. Let v = m + -11. Put v, -2/5, -5 in descending order. -2/5, v, -5 Suppose -3*s = -4*v + 16, -4*s + 2*v - 6*v + 16 = 0. Let y = -3 + s. Suppose -12 = 4*p + 4. Sort y, 3, p in ascending order. p, y, 3 Suppose 3*z + 9 = 0, -w - z - 3 = -1. Put 3, 5, w in decreasing order. 5, 3, w Let b = 6.3 + -2.3. Sort b, -5, -1/6 in descending order. b, -1/6, -5 Let l = -68.5 - -68. Put l, -8, -1, -0.4 in descending order. -0.4, l, -1, -8 Suppose -2*p - 6 = -2*z, 2*p - 5*z + 0*z + 15 = 0. Let m be 0 - (1 - 1) - -2. Sort p, m, -4. -4, p, m Let g = 12 + -7. Suppose g = -2*z + 1. Let w be 7/9 + (-4)/(-18). Put w, -5, z in descending order. w, z, -5 Let n = -9 + 8. Let d = 0.01 - -0.29. Let y be 1 - (-1)/1*-3. Put y, d, n in ascending order. y, n, d Let a be (1/3)/(1/15). Let s(c) = c**2. Let l be s(-1). Sort l, 3,
{ "pile_set_name": "DM Mathematics" }
-82853? i**3 - 1179*i - 74943 What is the r'th term of -569, -1377, -2281, -3281? -48*r**2 - 664*r + 143 What is the v'th term of 28224, 28182, 28128, 28062? -6*v**2 - 24*v + 28254 What is the o'th term of -152, -744, -1686, -2978, -4620, -6612? -175*o**2 - 67*o + 90 What is the c'th term of -425, -2978, -9839, -23138, -45005, -77570? -355*c**3 - 24*c**2 + 4*c - 50 What is the f'th term of -56864, -113648, -170432, -227216, -284000, -340784? -56784*f - 80 What is the w'th term of 625, 1075, 1809, 2815, 4081, 5595, 7345, 9319? -2*w**3 + 154*w**2 + 2*w + 471 What is the o'th term of -926, 190, 3350, 8554, 15802, 25094? 1022*o**2 - 1950*o + 2 What is the i'th term of 23583897, 23583900, 23583905, 23583912? i**2 + 23583896 What is the h'th term of 93455104, 93455105, 93455106, 93455107, 93455108? h + 93455103 What is the q'th term of 5967, 7163, 9155, 11943, 15527? 398*q**2 + 2*q + 5567 What is the u'th term of 553, 1715, 3653, 6367, 9857, 14123? 388*u**2 - 2*u + 167 What is the h'th term of 3562, 9479, 19340, 33145, 50894, 72587? 1972*h**2 + h + 1589 What is the y'th term of 24716, 51962, 81734, 114032, 148856, 186206, 226082? 1263*y**2 + 23457*y - 4 What is the z'th term of 226357, 905413, 2037173, 3621637, 5658805? 226352*z**2 + 5 What is the p'th term of -693495, -693482, -693463, -693438, -693407, -693370, -693327? 3*p**2 + 4*p - 693502 What is the s'th term of -949554, -949548, -949538, -949524, -949506, -949484? 2*s**2 - 949556 What is the y'th term of -29204, -118298, -266788, -474674, -741956, -1068634, -1454708? -29698*y**2 + 494 What is the l'th term of 19130028, 19130026, 19130024, 19130022, 19130020? -2*l + 19130030 What is the j'th term of -4573, -26585, -48597, -70609, -92621? -22012*j + 17439 What is the y'th term of 1046529365, 1046529363, 1046529361, 1046529359? -2*y + 1046529367 What is the u'th term of 451719, 903430, 1355145, 1806864? 2*u**2 + 451705*u + 12 What is the x'th term of 1565609, 1565615, 1565621, 1565627, 1565633, 1565639? 6*x + 1565603 What is the w'th term of 2760, 4484, 7354, 11370, 16532, 22840? 573*w**2 + 5*w + 2182 What is the j'th term of 1799, 7191, 16189, 28793, 45003, 64819? 1803*j**2 - 17*j + 13 What is the x'th term of 16175002, 32350011, 48525020, 64700029? 16175009*x - 7 What is the n'th term of 210590929, 421181859, 631772789? 210590930*n - 1 What is the j'th term of 3680, 8990, 17844, 30248, 46208? j**3 + 1766*j**2 + 5*j + 1908 What is the h'th term of 952075, 952072, 952043, 951976, 951859, 951680, 951427, 951088? -2*h**3 - h**2 + 14*h + 952064 What is the p'th term of -18834, -37644, -56412, -75132, -93798? p**3 + 15*p**2 - 18862*p + 12 What is the b'th term of 2065, 4063, 6059, 8047, 10021, 11975, 13903? -b**3 + 5*b**2 + 1990*b + 71 What is the m'th term of -7104, -7324, -7680, -8178, -8824? -m**3 - 62*m**2 - 27*m - 7014 What is the g'th term of 75418, 610404, 2062512, 4890304, 9552342, 16507188, 26213404, 39129552? 76427*g**3 - g**2 - 1008 What is the n'th term of 33845147, 67690295, 101535443? 33845148*n - 1 What is the x'th term of -49442, -49406, -49386, -49382, -49394, -49422? -8*x**2 + 60*x - 49494 What is the p'th term of 16732, 16752, 16772, 16798, 16836, 16892? p**3 - 6*p**2 + 31*p + 16706 What is the r'th term of -13911, -22350, -30787, -39222, -47655, -56086, -64515? r**2 - 8442*r - 5470 What is the x'th term of 46105, 179195, 401011, 711553, 1110821, 1598815, 2175535? 44363*x**2 + x + 1741 What is the v'th term of 202, 928, 2646, 5848, 11026, 18672, 29278? 82*v**3 + 4*v**2 + 140*v - 24 What is the t'th term of -4017, -2161, 2877, 12687, 28859, 52983? 265*t**3 + t**2 - 2*t - 4281 What is the p'th term of -43128, -86251, -129338, -172371, -215332? 3*p**3 - 43144*p + 13 What is the n'th term of -15055, -30173, -45291? -15118*n + 63 What is the g'th term of -8077148, -8077149, -8077150? -g - 8077147 What is the d'th term of 30993, 30568, 30143, 29718? -425*d + 31418 What is the o'th term of -158476, -633938, -1426376, -2535790, -3962180, -5705546? -158488*o**2 + 2*o + 10 What is the k'th term of -343267, -343210, -343153, -343096? 57*k - 343324 What is the h'th term of -27322, -25318, -23314, -21310, -19306, -17302? 2004*h - 29326 What is the i'th term of -11496, -11545, -11596, -11649? -i**2 - 46*i - 11449 What is the j'th term of 111121, 222227, 333333, 444439? 111106*j + 15 What is the c'th term of 901, 1860, 2845, 3838, 4821, 5776, 6685? -3*c**3 + 31*c**2 + 887*c - 14 What is the m'th term of -119017495, -119017497, -119017499, -119017501, -119017503? -2*m - 119017493 What is the m'th term of 3674555, 7348959, 11023363, 14697767, 18372171, 22046575? 3674404*m + 151 What is the k'th term of -624797, -1249649, -1874501? -624852*k + 55 What is the l'th term of -37069171, -148276650, -333622439, -593106532, -926728923, -1334489606, -1816388575? l**3 - 37069161*l**2 - 3*l - 8 What is the x'th term of -7134, -7105, -7060, -7005, -6946, -6889, -6840? -x**3 + 14*x**2 - 6*x - 7141 What is the f'th term of -3948298, -7896594, -11844890, -15793186, -19741482, -23689778? -3948296*f - 2 What is the w'th term of -2733, -4240, -5747? -1507*w - 1226 What is the f'th term of -2404, -12499, -30296, -55801, -89020, -129959, -178624? -f**3 - 3845*f**2 + 1447*f - 5 What is the x'th term of 22987, 92019, 207071, 368143, 575235, 828347, 1127479? 23010*x**2 + 2*x - 25 What is the x'th term of 22890, 24755, 27870, 32241, 37874, 44775, 52950? x**3 + 619*x**2 + x + 22269 What is the t'th term of -218065579, -218065578, -218065577, -218065576, -218065575, -218065574? t - 218065580 What is the a'th term of 3095, 364, -2367, -5098, -7829? -2731*a + 5826 What is the y'th term of -16358300, -16358285, -16358270? 15*y - 16358315 What is the y'th term of 11866, 22935, 34026, 45151, 56322, 67551, 78850? 2*y**3 - y**2 + 11058*y + 807 What is the j'th term of 126812, 507064, 1140816, 2028068, 3168820? 126750*j**2 + 2*j + 60 What is the p'th term of -580067, -1160082, -1740097, -2320112, -2900127? -580015*p - 52 What is the f'th term of 1969105, 1969301, 1969499, 1969699, 1969901? f**2 + 193*f + 1968911 What is the k'th term of 4726381, 4726380, 4726391, 4726420, 4726473, 4726556, 4726675? k**3 - 8*k + 4726388 What is the g'th term of -38499245, -38499246, -38499247? -g - 38499244 What is the y'th term of -2668, -10678, -24014, -42676, -66664? -2663*y**2 - 21*y + 16 What is the l'th term of 36543, 74329, 112111, 149889, 187663, 225433? -2*l**2 + 37792*l - 1247 What is the w'th term of -7182, -9146, -14480, -24870, -42002, -67562, -103236, -150710? -281*w**3 + w**2 - 6902 What is the q'th term of -246036, -984137, -2214304, -3936537, -6150836? -246033*q**2 - 2*q - 1 What is the c'th term of -467512, -1870586, -4209208, -7483372, -11693072, -16838302, -22919056? c**3 - 467780*c**2 + 259*c + 8 What is the o'th term of -6153599, -6153632, -6153665, -6153698, -6153731? -33*o - 6153566 What is the k'th term of -171759, -172894, -174779, -177408, -180775, -184874? k**3 - 381*k**2 + k - 171380 What is the w'th term of 8795, 37137, 85009, 152405, 239319, 345745? -w**3 + 9771*w**2 - 964*w - 11 What is the g'th term of -66599, -66680, -66879, -67250, -67847, -68724? -9*g**3 - 5*g**2 - 3*g - 66582 What is the l'th term of -523056, -523039, -523022, -523005, -522988? 17*l - 523073 What is the g'th term of 3458, 3566, 3744, 3998, 4334, 4758, 5276? g**3 + 29*g**2 + 14*g + 3414 What is the j'th term of 748422, 748201, 747980? -221*j + 748643 What is the u'th term of -379, 47, 757, 1751, 3029, 4591, 6437? 142*u**2 - 521 What is the f'th term of 1229422, 2459229, 3689036? 1229807*f - 385 What is the h'th term of 92813, 92824, 92835? 11*h + 92802 What is the s'th term of 4563, 9729, 14895, 20061? 5166*s - 603 What is the r'th term of 37686, 75331, 112932, 150489, 188002? -22*r**2 + 37711*r - 3 What is the l'th term of -317065418, -317065419, -317065420, -317065421, -317065422? -l - 317065417 What is the f'th term of -1011220841, -2022441683, -3033662525, -4044883367, -5056104209? -1011220842*f + 1 What is the g'th term of -5002832, -10005697, -15008564, -20011433? -g**2 - 5002862*g + 31 What is the a'th term of -199512, -199531, -199592, -199719, -199936? -4*a**3 + 3*a**2 - 199511 What is the d'th term of -4048, -8514, -13400, -18706,
{ "pile_set_name": "DM Mathematics" }
- -0.2. Let z be (3/(-12))/((-2)/(-44)). Let l = z - -73/14. Sort l, j, -0.5 in decreasing order. j, l, -0.5 Suppose -3 = 5*a - 4*q, -2*a - 9 = 2*a - q. Suppose -3 + 19 = -4*m. Sort m, a, -5 in ascending order. -5, m, a Let k(o) = o**3 - 11*o**2 + 12*o - 15. Let m be k(10). Let j = -24 + 28. Sort 1, j, m in increasing order. 1, j, m Suppose 0 = -5*w + 2*d - 6, 3*w + d + 4*d + 16 = 0. Suppose -4*f - 16 = -3*j, -3*j - 2*j + 3*f + 12 = 0. Suppose -5*x = 2 - 7. Sort x, j, w in ascending order. w, j, x Suppose 56 = -4*j - 2*z, 4*j + 37 + 31 = -5*z. Let q be 26/(-8) + (-3)/j. Sort -5, 4, q. -5, q, 4 Suppose y + 13 - 3 = -2*z, 3*y - 10 = 2*z. Suppose -4*l = -2*l - 3*c - 3, 2*c = -l - 9. Put l, z, 3 in increasing order. z, l, 3 Let s be 10/(-3) - (1 + -3). Let y = 4 + -4.1. Let v = 2 + -6. Sort y, v, s in ascending order. v, s, y Let a = 158 - 205. Sort a, 5, 2 in decreasing order. 5, 2, a Suppose 4*h = 2*r + 78, -87 = -4*h - h - r. Let c be 10/4 + 9/h. Sort c, -1, -4 in decreasing order. c, -1, -4 Suppose -6 + 34 = -4*i. Let q be (-6)/12 - i/(-2). Put -1, 4, q in decreasing order. 4, -1, q Let t(p) = -8*p - 262. Let n be t(-33). Let z = 2 - -3. Put n, z, -1/5 in decreasing order. z, n, -1/5 Suppose 2*l + l = -2*p - 5, -4*l = -4*p + 20. Let n = 2 + p. Let b = -12.7 - -13. Sort b, 3, n in descending order. n, 3, b Let p = -47 - -46.94. Let f = 2 - 7. Sort p, f, -0.5. f, -0.5, p Suppose -2*u = -0 - 2, -7 = -b - 2*u. Suppose -b*z + 5 = 5*m - 10, 2*m - 4 = -3*z. Sort z, 2, -4 in decreasing order. 2, z, -4 Suppose 86*u = 92*u - 84. Sort -1, u, -3 in ascending order. -3, -1, u Let c = -80 + 238/3. Let q = 22 - 18. Sort q, c, -0.2 in ascending order. c, -0.2, q Suppose -4 = -0*b - 4*b. Sort 6, -2, b. -2, b, 6 Let d be (86/1)/(14/26). Let f = d - 160. Let p = -0.1 - -0.2. Put 2, p, f in increasing order. f, p, 2 Let c = -55 + 55.39. Let v = c - -0.01. Let n = -64/135 - -2/27. Put v, n, -2 in increasing order. -2, n, v Let o = -5.01 + 0.01. Let p be (-1)/((-1)/(-2))*1/(-12). Put p, o, -3 in ascending order. o, -3, p Let k be ((-21)/9 + 1)/((-6)/(-9)). Sort 8, k, 10 in ascending order. k, 8, 10 Let u(s) = -s + 3. Let k be u(1). Sort 1, -4, k in decreasing order. k, 1, -4 Let d(v) = v**3 - 2*v**2 + 3*v. Let w be d(2). Suppose 0 = -5*l, -w*g = -9*g - l - 9. Put g, 0, 3 in increasing order. g, 0, 3 Let y be (-123)/255 - 2/17. Put y, -3, 2/5 in descending order. 2/5, y, -3 Let h = 1.9 - 1.4. Sort h, -4/5, 1/4 in decreasing order. h, 1/4, -4/5 Suppose 8 = 3*c - 1. Suppose -f + 4 = -0. Let v = -4 + 9. Put v, c, f in ascending order. c, f, v Let t = -5 - -2.5. Let z = 14 - 16. Let i = z - t. Sort -5, 3, i in decreasing order. 3, i, -5 Suppose -a + 3*f - 7*f = 3, -a + 5*f = 3. Let t = 8 + -6. Put t, -1, a in descending order. t, -1, a Let o = -0.32 + -13.68. Let l = o - -17. Sort l, 0.2, 4 in ascending order. 0.2, l, 4 Let p = -0.4 - -0.2. Let l = p + 0.5. Suppose -3*f - 5 = 4. Put l, f, 0 in decreasing order. l, 0, f Let a = -16 - -14. Let u(x) = x - 5. Let j be u(0). Put 9, a, j in descending order. 9, a, j Let m be (1/(-10))/((-4)/10). Sort m, -0.1, 5 in ascending order. -0.1, m, 5 Let c = -2 + 2. Let i = 2.8 - 3. Let u = i + 0.3. Sort u, -4, c in descending order. u, c, -4 Let s(n) = 5*n + 25. Let m be s(-6). Put 2, 3, m, 5 in ascending order. m, 2, 3, 5 Let r = -8 + 8. Let m(x) = x**3 - 3*x**2 - 5*x - 1. Let w be m(4). Put -1/7, r, w in descending order. r, -1/7, w Let u(o) = -2*o + 4. Let w be u(0). Let x = 5 - 7. Sort x, w, -5 in descending order. w, x, -5 Suppose 3*b - 4 = b. Suppose 0 = -k + b - 3. Sort k, 2, -2. -2, k, 2 Suppose -5*s = -3*s + 16. Let t be s/(-5) + 6/(-10). Suppose -2*p - t = -p. Sort 2, -3, p in descending order. 2, p, -3 Let n = -15 + 15.1. Sort n, -0.3, -0.5 in increasing order. -0.5, -0.3, n Let h(j) = j + 9. Let p be h(-4). Put 9, 2, p in descending order. 9, p, 2 Suppose -4*w - t + 6*t + 11 = 0, w - 2 = 2*t. Let d = -3.7 + 4. Put w, 5, d in decreasing order. 5, w, d Let i be (-3 - (-30)/9)*(-18)/2. Sort 0, -1, i, 5 in descending order. 5, 0, -1, i Let k = 17 + -16.95. Sort 0.2, 1, k. k, 0.2, 1 Suppose 0 = -m - 0*b + 2*b + 9, -3*b = -5*m + 17. Put 0, m, 2, -5 in descending order. 2, m, 0, -5 Suppose 6*h = -4*x + 2*h + 44, 0 = h + 5. Suppose x = -3*a - 4*s, -15 - 5 = a + 5*s. Suppose a*n + 5*n + 5 = 0. Sort n, 5, 1 in descending order. 5, 1, n Suppose 4*t = 23 - 7. Suppose -t*j - 4*d = 16, 3*j + 10 = -2*j - 3*d. Sort j, 4, -0.1 in ascending order. -0.1, j, 4 Let m = -7 + 10. Suppose 50 = -2*b + 6. Let a be b/(-5) - 6/15. Sort -4, m, a. -4, m, a Let a = -138430 - -25194355/182. Let k = a - 2/91. Sort 0.3, 4, k in decreasing order. 4, k, 0.3 Let l(g) = -g - 5. Let x be l(-2). Let q(b) = b**3 + 5*b**2 + 4*b. Let r be q(-4). Put x, -14, r in decreasing order. r, x, -14 Let x(r) = 0*r - 6 + r + 12 + 5. Let l be x(-10). Sort l, 1/3, -2 in increasing order. -2, 1/3, l Let q(i) = -i - 7. Let w be q(-10). Let d be 3/(-2) + w/2. Let k(g) = g**3 - 8*g**2 - 9*g + 5. Let o be k(9). Sort -4, d, o in descending order. o, d, -4 Let x = -36 + 24. Put x, -0.5, -0.4, -1 in descending order. -0.4, -0.5, -1, x Let t = 0.19 - 0.09. Let i be 3/6 + (-5)/(-2). Put t, -3, i in descending order. i, t, -3 Let a = -2.3 - -2.39. Let w = 0.29 - a. Put w, -5, -0.2 in decreasing order. w, -0.2, -5 Let p be (-3 + (-16)/(-6))/((-3)/9). Sort -1, 5, p, -1/2 in ascending order. -1, -1/2, p, 5 Let c = -37 - -20. Let x be (19 + c)/((-4)/10). Put x, 0, 1 in decreasing order. 1, 0, x Let t = 13 + -12. Let w(p) = 5*p**2 + p - 1. Let m be w(t). Put -4, m, 4 in descending order. m, 4, -4 Suppose 3*u - u - 16 = 0. Let j = -12 + u. Sort -0.5, j, 1/3. j, -0.5, 1/3 Let p = 4 + -1. Let d = -23.3 - -31. Let x = d + -8. Put -5, p, x in descending order. p, x, -5 Let i = -0.05 - -0.04. Let b = i - -0.17. Put b, -2/9, 1/2 in ascending order. -2/9, b, 1/2 Let x = -59 - -533/9. Sort -2/9, 0.5, x in increasing order. -2/9, x, 0.5 Suppose 20 = 2*z + 3*z. Put -2, z, 1 in increasing order. -2, 1, z Suppose -10*j = -4*j + 24. Sort j, 0, -2 in ascending order. j, -2, 0 Let l = -3 - 0. Let p = -7 - -7. Suppose -4*z + 8 = -0*z. Put p, z, l in increasing order. l, p, z Let k = 5 - 4.5. Let j = -13.5 - -13. Sort j, 1, k in increasing order. j, k, 1 Let b(l) = 3 - l**3 + 5*l - 7 + 2*l**2 + 0. Let s be b(3). Let p be (-1)/(-5) - 0/s. Put -4, p, -2/23 in decreasing order. p, -2/23, -4 Let h = -104 + 100. Put 2/7, -3, 5, h in descending order. 5, 2/7, -3, h Let j(k) = -k**3 + 2*k**2 + 2*k. Let n be j(3). Sort n, 2, 0. n, 0, 2 Let l be (-5 - 1)*(-4)/84. Let m = -2 + 3. Sort m, l, 0.3 in decreasing order. m, 0.3, l Let m = 2 + -6. Let v = -4 - -9. Sort m, v, 2 in descending order. v, 2, m Let s = -2 - 1. Suppose -5*x = -4*k, -4*k - 2*x - 15 = 13. Suppose 4*d = 9*d + 5. Put k, s, d in decreasing order. d, s, k Suppose 0 = 4*n - 2*q - 8, 3*n - 6*q + 16 = -10*q. Suppose 7*t - 3*t = 3*h - 15, 0 = 3*h - t - 6. Sort n, h, 3 in descending order. 3, h, n Suppose l = 6*l + 25. Let a(j) = 5*j**2 + 7*j - 11. Let i(s) = 3*s**2 + 3*s - 6. Let w(q) = -4*a(q) + 7*i(q). Let m be w(6). Sort 3, l, m in ascending order. l, m, 3 Let z be 1 + 5 - (-1 - -3). Let n = -9 - -9. Sort -3, n, z in descending order. z, n, -3 Let p(w) = 2*w**2 - 1. Let l be p(1). Sort l, -3, 17 in descending order. 17, l, -3 Suppose 5 = 4*p - z - 0*z, -3*p - 4*z - 1 = 0. Suppose 4*b + 18 = 2*m, -m - b = -2*b - 7. Suppose m*j - 3*j = 0. Put j, -3, p in decreasing order. p, j, -3 Let j = -2 - -2. Let u = j + 0.1. Sort 2/5, -5, u in ascending order. -5, u, 2/5 Let z(x) = x**2 + 2*x - 1. Let r be z(1). Let q = 50 - 36. Suppose 11 + q = 5*s. Put -2, s, r in increasing order. -2, r, s Let t be 2/(-10) + (-2)/(-4). Let y = t + 31/30. Put y, 0, 3 in ascending order. 0, y, 3 Let f = 235/3 + -80. Let z = -25 + 9. Let w = -11 - z. Sort -0.2, f, w in descending order. w, -0.2, f Let p(s) = -6*s**3 - 4*s**2 - 2*s - 6. Let t(m) = m**3. Let l(i) = p(i) + 5*t(i). Let r be l(-4). Sort -2, 4, r in increasing order. -2, r, 4 Suppose 3*s + 4*r + 0*r = 29, 2*s - 11 = -r. Suppose s*z - 1 = -7. Let b be (4/(-20))/((-6)/10). Sort z, b, -2/11. z, -2/11, b Let s(k) = -k**2 + 6*k + 7. Let q(g) = -42*g. Let w be q(1). Let p be (1/3)/((-2)/w). Let x be s(p). Sort 1, -1, x in inc
{ "pile_set_name": "DM Mathematics" }
et r = -4 + 12. Which is smaller: r or 5? 5 Suppose 6*u = 2*u - 4*d, d + 12 = 5*u. Is u != 2/7? True Let z(r) be the first derivative of -r**3/3 - 7*r**2/2 + r + 2. Suppose -5*q = 2 + 33. Let u be z(q). Which is smaller: u or -2/15? -2/15 Let g(w) = w + 28. Let i be g(-16). Is i < -2? False Suppose -q - j + 5*j = -28, 4*q = 4*j + 52. Suppose -t + 3 = 2*g, -2*t + g + 1 = -5. Suppose 2*s = -q, 0 = -2*m - t*m - 4*s - 36. Which is bigger: m or -1/2? -1/2 Let a = -1/3658 - -107913/7316. Let n = -15 + a. Which is bigger: n or -0.1? -0.1 Let u = -2 - -2.4. Let p = -0.3 + u. Is p not equal to 0.01? True Let d(q) = -q**3 - 9*q**2 - 10*q - 6. Let p be d(-7). Do p and -35 have the same value? False Let x be (3*(-80)/(-84))/(6/21). Is x at least as big as 6? True Let g be ((-4)/(-6))/((-2)/(-24)). Suppose -13 = f + 5*r - 0*r, -2*f - g = r. Let l be (-7)/(-4)*(-3 + 1). Is l != f? True Let y = 0 - -7. Which is greater: -1 or y? y Let o = 20 - 21. Does o = 0? False Suppose -7*w + 100 = -2*w. Which is smaller: 41/2 or w? w Let i = -30/11 + 144/77. Which is greater: i or -1? i Suppose 5*i - 17 = 4*w + 10, 5*i - 45 = -5*w. Let b(r) = r**2 - 2*r + 3. Let t be b(3). Is i at least t? True Suppose 0 = -2*u + 1 - 5. Let a be (-18)/(3/u + 0). Suppose -3*n - 4*f + 3 = 15, 3*n + a = f. Is -3 less than or equal to n? False Let z = 17 - 17.43. Let l = -0.07 + z. Is 0.1 equal to l? False Let f = -78 - -41. Is -38 greater than or equal to f? False Let q(d) = 2*d**2 + 5*d - 3. Let v be q(-3). Is 1 >= v? True Suppose 3 = 2*f - 13. Suppose 2*c - 2*l = -f, -c = 4*l + l - 26. Let v be 18/15*1/2. Which is greater: v or c? c Let y be ((20/(-12))/5)/(1/(-15)). Suppose j + 0 = 2. Is y bigger than j? True Suppose 2*k = -2*k + 5*r + 12, 0 = -2*k - 4*r + 32. Suppose -3*s = -k*s. Let y = s - -2. Are 3 and y nonequal? True Let c = 17 + -5. Let y = 13 - c. Is 2 > y? True Suppose 5*p = 3*p + y + 8, p - 4*y - 11 = 0. Let w be ((-2)/(-2) - 2)*0. Suppose w = 3*z + 2*z - 15. Is p equal to z? True Let x = -3 - -3. Suppose -4*m = 2*z - 4, 0 = -5*z - x*m + 5*m + 10. Suppose 0 = 4*q + u - 12, -10 = 5*q - 3*u - 2*u. Is z at most as big as q? True Let u = 28 - 46. Let x = 18.1 + u. Do x and 0 have different values? True Let l = -8/23 - -10/161. Which is smaller: -1 or l? -1 Let w = 0 + 2. Let d = -239 - -479/2. Is d > w? False Let v = -100 + 36. Let c be (v/4)/(2 + 1). Which is bigger: -5 or c? -5 Let q = -6 + 9. Suppose 5*t = 2*i + 5, t - 4*t - 18 = q*i. Let n be (-1)/2 + 1/(-2). Is n at most t? True Suppose -4*z + 5*b = 45, 0*b + 3*b = -3*z. Let m = 2 + -5. Which is bigger: z or m? m Let g(x) = x - 3. Let n be g(1). Which is greater: -12/5 or n? n Let c(k) = -k**2 + 6. Let d be c(0). Let t be 2 - 236/286*d. Let n = t + 36/13. Which is smaller: n or -1? -1 Suppose -10*m = 8 + 2. Is 0.2 >= m? True Suppose 10*g = 5*g + 35. Is g smaller than 9? True Let n be 0/(-2) + (-4)/18. Suppose 0 = -4*u - 4*q - 64, q - 1 + 0 = 0. Let f = u + 18. Is n >= f? False Let q = 2.01 - 0.01. Let n = -0.9 + 0.6. Let t = n - 0.7. Is t < q? True Let b = -2 + 5. Suppose j = b*t - 116, -3*t + 4*j + 136 = -j. Let z = -179/5 + t. Which is smaller: z or 0? 0 Let g be (-2)/3*-1*(-2 - 1). Suppose 2*h - 2 = -0*h + 3*i, 2*i + 13 = -h. Which is smaller: g or h? h Suppose 20 = j - 5*h, -h + 3 = 7. Which is bigger: j or -2/105? j Let x = -0.2 + 1.2. Let a = 0.19 - 0.39. Which is smaller: x or a? a Let q = -1 + 1.1. Let b = 0.3 - 0.2. Is b less than q? False Let a = 0.1 - 0.2. Let q = 4.7 + -4.8. Is q <= a? True Let a = 5 - 3. Let w be (a - 2/2) + -2. Let v be (-2)/12 - w/(-3). Which is greater: v or 0? 0 Let m = 15 - 17.1. Let n = 2 + m. Let a = 0 + 0.1. Which is smaller: n or a? n Suppose 0 = 5*w + 5*s - 10, -w + 4*w = 2*s + 1. Is 1/29 not equal to w? True Let t = -24.989 + 25. Which is smaller: t or -0.1? -0.1 Let d be (-4)/(-8)*16*1. Suppose 3*m - 25 - d = 0. Is m not equal to 11? False Suppose u + 7 = -3*p, u - p = p - 7. Let t(i) = -i**2 - 8*i - 2. Let d be t(u). Suppose d*r - 32 + 12 = -c, 4*r - 16 = -2*c. Is 4 less than r? False Suppose -q + 2 = -4*p, 2*q - 5*p + 2 = 3*q. Let f be (1*(2 - q))/(-1). Let a = f + -2. Is a equal to -1? False Let a = -11/14 - 37/42. Let c = -1.55 - -0.15. Let f = 0.4 + c. Is f >= a? True Let l = 17 - 13. Let b be (14/(-8))/(-7)*l. Let h(v) = -v**3 - 5*v**2 + v + 4. Let p be h(-5). Which is greater: b or p? b Let h be (1 - 0) + (-6 - -5). Suppose h*f - 3*f = 2*v - 80, v - 40 = -4*f. Suppose -5*z - b = -6*b + 5, 5*z + 2*b = -v. Is z < -6? False Let i be (0 - -2)/(1/(-6)). Let z be 2/i*(-18)/(-12). Is 1 less than z? False Suppose 3 - 19 = -2*c. Let y be -5*-4*(-2)/c. Which is smaller: y or -6? -6 Suppose 0 = 5*d - 10, 0 = -4*j + 3*d - 4*d + 18. Let w = -7 - -11. Is w equal to j? True Let g be (-138)/(-33) + (-4)/22. Suppose -g*f = 4*z - 8, z = 2 - 1. Suppose -m + 2 + f = 0. Is m > 1? True Let i(g) = 4*g**2 - g - 2. Let a be i(2). Which is smaller: 13 or a? a Let r be 1/(0 + 0 + 1). Let i be 3 - r - (-314)/(-84). Let h = i - -15/14. Which is smaller: -3/7 or h? h Suppose -3*v = v - 4. Let w be (-12)/20 + 17/(-5). Let y be 1/2 - (-6)/w. Is y not equal to v? True Let z = -51.21 - -50. Let w = -0.11 - z. Let i = w + -1. Is i bigger than 0? True Let o = 0 - 2. Let c = -4 - o. Let l be -3*(c - (1 - 2)). Is 2 at least as big as l? False Suppose -3*n - 4 = 5*x + 11, 5*n + 3*x + 9 = 0. Suppose n = 3*j - 5 + 2. Is 1 bigger than j? False Suppose -5 = 4*y - 5*h, 4*y - 3*y + 3*h + 14 = 0. Is y equal to -6? False Let p be (-4 - -6) + -4 + 1. Let u = -8 + p. Are u and 0 nonequal? True Suppose -5*b + d = -0*b, 0 = 2*b - 5*d. Which is smaller: 5/6 or b? b Suppose 10*j = 13*j - 27. Let y = 11 - j. Is y bigger than 2? False Suppose 4*o - 58 = 6. Suppose -8*n + 4*n = o. Let g(z) = z + 3. Let l be g(n). Are 2 and l nonequal? True Let y = -3 - -1. Let a be -2 - (-28)/(-8) - -4. Which is greater: y or a? a Let b = 2/105 + -234/35. Which is smaller: b or -7? -7 Suppose 0 = d + 2*d + 3. Are 0 and d unequal? True Let h be 1590/(-105) - 2/(-14). Which is smaller: -13 or h? h Let a = 2/107 - 353/1712. Which is smaller: 1 or a? a Let h = -1103/55 + 280/11. Which is bigger: 5 or h? h Let r be (184/10)/(111/5). Let x = r - 6/37. Let q = 1 + 0. Is q >= x? True Let q be (6 - 0)*55/10. Let b = q - 67/2. Which is smaller: 0 or b? b Let i = 0.06 - -0.16. Let m = -0.12 + i. Is -5 not equal to m? True Let w(z) = -3*z - 30. Let p be w(-10). Are p and 1/161 non-equal? True Suppose -5*m - 2*s - 73 = 0, -5*m + 3*s - 30 = 23. Let k be 1 + (-86)/(-8) + 1. Let y = k + m. Is y greater than or equal to -1? True Let z = 54/131 - 25388/62225. Is 0 != z? True Let m = 2 + 1. Is 0.1 less than or equal to m? True Let f = -43.92 + 44. Is f at least as big as 4? False Let v = 14 + -11. Is v at most 4? True Let h be 10*(-4)/(16/6). Let c(l) = l**3 - 17*l**2 - l + 3. Let d be c(17). Is h smaller than d? True Let q be 4 - (-5 + (-309)/(-34)). Which is smaller: q or -1? -1 Let t(i) = -i**3 - i**2 + i + 1. Let c be t(1). Are 4/5 and c equal? False Suppose -u + 26 = -5*h, -2*u + 4*h + 22 = -0*u. Which is greater: u or 1/6? u Let g be (-8)/(-10)*(-5)/1. Let p be (-1)/g - 1/1. Let c be (-2)/2 + 3/(-3). Which is smaller: c or p? c Let q(k) = -4*k - 5. Let l be q(-3). Which is smaller: 31/4 or l? l Let j = 0.13 + -0.23. Suppose 10 = -n - 8. Let u be (-4)/n - (-35)/(-36). Is j <= u? False Let g = -383/6 - -64. Let v = -2 + 3. Is v not equal to g? True Let f(b) = -3*b - 5. Let l be f(-4). Let g be (-4 - -1) + 2 - -9. Which is greater: l or g? g Suppose -7 = i + 7. Let n = i + 31. Suppose -v - 4 = -2*k, 5*k = -v - 0*v + n. Is 0 at least v? False Let m(w) = w**3 + 11*w**2 - 11*w + 12. Let l(b) = b - 6. Let q be l(-5). Let c be m(q). Let f = c - 1730/13. Which is greater: -1 or f? f Let m(z) = -z + 6. Let o be m(7). Let k be -3 + 58/12 + -2. Which is smaller: k or o? o Let d = -51 - -51. Which is bigger: d or 46? 46 Let d be 28/12 + 1/(-3). Suppose -2 = d*x + 2. Which is smaller: -3/4 or x? x Let q(y) = y**2 - 4*y - 2. Let v be q(4). Let n be (7/v)/((-1)/(-2)). Let s be 1/(4/140*-5). Is n != s? False Let q(v) = -v**3 - 9*v**2 + 2*v + 17. Let f be q(-9). Is -2/113 at least as big as f? True Let v = 2.9 - 3. Let y be 1 - -1*12/(-16). Which is bigger: v or y? y Let o =
{ "pile_set_name": "DM Mathematics" }
List the prime factors of 36384. 2, 3, 379 What are the prime factors of 40344? 2, 3, 41 What are the prime factors of 697? 17, 41 List the prime factors of 55182. 2, 3, 17, 541 What are the prime factors of 18979? 18979 List the prime factors of 887. 887 List the prime factors of 1068. 2, 3, 89 What are the prime factors of 139? 139 List the prime factors of 923. 13, 71 List the prime factors of 5466. 2, 3, 911 What are the prime factors of 11343? 3, 19, 199 What are the prime factors of 1612? 2, 13, 31 List the prime factors of 753. 3, 251 What are the prime factors of 51056? 2, 3191 What are the prime factors of 9394? 2, 7, 11, 61 What are the prime factors of 4913? 17 List the prime factors of 5653. 5653 What are the prime factors of 15225? 3, 5, 7, 29 List the prime factors of 8151. 3, 11, 13, 19 List the prime factors of 759. 3, 11, 23 What are the prime factors of 204? 2, 3, 17 List the prime factors of 30722. 2, 15361 What are the prime factors of 2904? 2, 3, 11 List the prime factors of 25243. 25243 What are the prime factors of 638? 2, 11, 29 What are the prime factors of 7581? 3, 7, 19 What are the prime factors of 3121? 3121 What are the prime factors of 5096? 2, 7, 13 What are the prime factors of 3515? 5, 19, 37 What are the prime factors of 2802? 2, 3, 467 List the prime factors of 72380. 2, 5, 7, 11, 47 List the prime factors of 5941. 13, 457 List the prime factors of 8598. 2, 3, 1433 What are the prime factors of 4334? 2, 11, 197 What are the prime factors of 54637? 11, 4967 List the prime factors of 85. 5, 17 List the prime factors of 6780. 2, 3, 5, 113 What are the prime factors of 10527? 3, 11, 29 What are the prime factors of 13676? 2, 13, 263 What are the prime factors of 74708? 2, 19, 983 What are the prime factors of 1974? 2, 3, 7, 47 List the prime factors of 3053. 43, 71 What are the prime factors of 135479? 135479 List the prime factors of 3720. 2, 3, 5, 31 What are the prime factors of 8376? 2, 3, 349 What are the prime factors of 18195? 3, 5, 1213 What are the prime factors of 11193? 3, 7, 13, 41 List the prime factors of 33068. 2, 7, 1181 List the prime factors of 559. 13, 43 What are the prime factors of 1483? 1483 What are the prime factors of 2110? 2, 5, 211 List the prime factors of 3499. 3499 What are the prime factors of 161826? 2, 3, 7, 3853 List the prime factors of 1337. 7, 191 List the prime factors of 781. 11, 71 List the prime factors of 1294. 2, 647 List the prime factors of 116494. 2, 7, 53, 157 What are the prime factors of 2179? 2179 What are the prime factors of 14845? 5, 2969 List the prime factors of 107369. 19, 5651 What are the prime factors of 79791? 3, 26597 List the prime factors of 28006. 2, 11, 19, 67 What are the prime factors of 72855? 3, 5, 1619 What are the prime factors of 17692? 2, 4423 List the prime factors of 1863. 3, 23 What are the prime factors of 6885? 3, 5, 17 What are the prime factors of 759? 3, 11, 23 What are the prime factors of 4731? 3, 19, 83 List the prime factors of 11010. 2, 3, 5, 367 What are the prime factors of 356? 2, 89 List the prime factors of 705. 3, 5, 47 List the prime factors of 5419. 5419 What are the prime factors of 10405? 5, 2081 List the prime factors of 2289. 3, 7, 109 List the prime factors of 1192. 2, 149 List the prime factors of 1256. 2, 157 List the prime factors of 274. 2, 137 What are the prime factors of 1652? 2, 7, 59 List the prime factors of 8486. 2, 4243 What are the prime factors of 315? 3, 5, 7 List the prime factors of 320. 2, 5 What are the prime factors of 2470? 2, 5, 13, 19 What are the prime factors of 2377? 2377 What are the prime factors of 11109? 3, 7, 23 What are the prime factors of 785? 5, 157 What are the prime factors of 3338? 2, 1669 List the prime factors of 11809. 7, 241 What are the prime factors of 31379? 31379 What are the prime factors of 1093? 1093 List the prime factors of 140507. 23, 41, 149 What are the prime factors of 9046? 2, 4523 What are the prime factors of 10250? 2, 5, 41 List the prime factors of 22924. 2, 11, 521 List the prime factors of 22775. 5, 911 List the prime factors of 14219. 59, 241 List the prime factors of 9729. 3, 23, 47 What are the prime factors of 21314? 2, 10657 List the prime factors of 4504. 2, 563 What are the prime factors of 11274? 2, 3, 1879 List the prime factors of 11677. 11677 List the prime factors of 961. 31 List the prime factors of 474. 2, 3, 79 What are the prime factors of 14186? 2, 41, 173 What are the prime factors of 8672? 2, 271 List the prime factors of 11926. 2, 67, 89 What are the prime factors of 30044? 2, 7, 29, 37 List the prime factors of 12042. 2, 3, 223 What are the prime factors of 55811? 7, 17, 67 List the prime factors of 8245. 5, 17, 97 List the prime factors of 60078. 2, 3, 17, 19, 31 What are the prime factors of 174? 2, 3, 29 What are the prime factors of 12306? 2, 3, 7, 293 What are the prime factors of 38154? 2, 3, 6359 What are the prime factors of 2570? 2, 5, 257 What are the prime factors of 10884? 2, 3, 907 List the prime factors of 1740. 2, 3, 5, 29 List the prime factors of 83994. 2, 3, 13999 What are the prime factors of 76414? 2, 13, 2939 List the prime factors of 1477. 7, 211 List the prime factors of 168044. 2, 43, 977 What are the prime factors of 26? 2, 13 List the prime factors of 9711. 3, 13, 83 List the prime factors of 42574. 2, 7, 3041 What are the prime factors of 13104? 2, 3, 7, 13 List the prime factors of 25804. 2, 6451 What are the prime factors of 180? 2, 3, 5 List the prime factors of 7480. 2, 5, 11, 17 What are the prime factors of 52248? 2, 3, 7, 311 List the prime factors of 7043. 7043 What are the prime factors of 3061? 3061 List the prime factors of 9247. 7, 1321 List the prime factors of 760. 2, 5, 19 What are the prime factors of 720? 2, 3, 5 What are the prime factors of 12734? 2, 6367 What are the prime factors of 74301? 3, 24767 List the prime factors of 16181. 11, 1471 List the prime factors of 26440. 2, 5, 661 What are the prime factors of 4191? 3, 11, 127 List the prime factors of 7132. 2, 1783 List the prime factors of 25444. 2, 6361 What are the prime factors of 4505? 5, 17, 53 What are the prime factors of 23184? 2, 3, 7, 23 What are the prime factors of 52319? 113, 463 List the prime factors of 3363. 3, 19, 59 What are the prime factors of 922? 2, 461 List the prime factors of 529. 23 What are the prime factors of 35609? 7, 5087 What are the prime factors of 3078? 2, 3, 19 List the prime factors of 245. 5, 7 List the prime factors of 240. 2, 3, 5 What are the prime factors of 28958? 2, 14479 What are the prime factors of 11063? 13, 23, 37 What are the prime factors of 14820? 2, 3, 5, 13, 19 List the prime factors of 12228. 2, 3, 1019 What are the prime factors of 4820? 2, 5, 241 List the prime factors of 2502. 2, 3, 139 What are the prime factors of 2862? 2, 3, 53 List the prime factors of 3141. 3, 349 List the prime factors of 505. 5, 101 What are the prime factors of 2407? 29, 83 What are the prime factors of 25498? 2, 11, 19, 61 List the prime factors of 46030. 2, 5, 4603 List the prime factors of 81797. 157, 521 List the prime factors of 69286. 2, 7, 101 List the prime factors of 724. 2, 181 What are the prime factors of 1372? 2, 7 List the prime factors of 1102. 2, 19, 29 What are the prime factors of 6891? 3, 2297 List the prime factors of 367. 367 What are the prime factors of 13652? 2, 3413 List the prime factors of 169869. 3, 7, 8089 List the prime factors of 1073. 29, 37 List the prime factors of 7031. 79, 89 List the prime factors of 4286. 2, 2143 List the prime factors of 87289. 41, 2129 List the prime factors of 1069. 1069 List the prime factors of 5525. 5, 13, 17 List the prime factors of 1985. 5, 397 List the prime factors of 85294. 2, 11, 3877 List the prime factors of 7590. 2, 3, 5, 11, 23 What are the prime factors of 72316? 2, 101, 179 What are the prime factors of 1605? 3, 5, 107 What are the prime factors of 60757? 60757 List the prime factors of 1032. 2, 3, 43 What are the prime factors of 2289? 3, 7, 109 List the prime factors of 4355. 5, 13, 67 List the prime factors of 1284. 2, 3, 107 What are the prime factors of 2761? 11, 251 What are the prime factors of 15256? 2, 1907 What ar
{ "pile_set_name": "DM Mathematics" }
prob of picking 1 j and 3 x when four letters picked without replacement from {j: 16, x: 4}. 64/4845 Calculate prob of picking 1 t and 1 h when two letters picked without replacement from katuhkyy. 1/28 Two letters picked without replacement from bbius. What is prob of picking 1 s and 1 u? 1/10 Two letters picked without replacement from yymnsnnnnnnynymss. What is prob of picking 2 y? 3/68 Four letters picked without replacement from {m: 2, e: 17}. What is prob of picking 4 e? 35/57 Calculate prob of picking 3 y when three letters picked without replacement from {l: 4, y: 7}. 7/33 Two letters picked without replacement from {l: 2, w: 5, q: 9}. Give prob of picking 1 q and 1 l. 3/20 Three letters picked without replacement from {r: 4, x: 2}. Give prob of picking 2 x and 1 r. 1/5 Two letters picked without replacement from qwzz. Give prob of picking 1 z and 1 q. 1/3 Four letters picked without replacement from {g: 1, l: 3, t: 5, k: 2, s: 5}. What is prob of picking 2 l, 1 s, and 1 k? 3/182 Two letters picked without replacement from aummr. Give prob of picking 1 u and 1 a. 1/10 Calculate prob of picking 2 q when two letters picked without replacement from {w: 1, q: 10, x: 9}. 9/38 Calculate prob of picking 1 u and 1 l when two letters picked without replacement from {b: 2, u: 1, l: 1, a: 2, c: 1}. 1/21 What is prob of picking 1 f, 1 w, 1 j, and 1 u when four letters picked without replacement from ujudwdudwdwudwfd? 4/455 Four letters picked without replacement from {h: 4, y: 3}. What is prob of picking 2 h and 2 y? 18/35 Two letters picked without replacement from {x: 8, d: 5, w: 1, z: 2, l: 2}. What is prob of picking 1 z and 1 l? 4/153 What is prob of picking 1 o and 1 t when two letters picked without replacement from {j: 1, x: 5, d: 4, o: 1, t: 4}? 4/105 Calculate prob of picking 1 r, 1 h, and 2 j when four letters picked without replacement from {t: 3, h: 2, p: 1, m: 1, j: 4, r: 4}. 16/455 Three letters picked without replacement from mmkmkkkmmkkkkmkkkk. What is prob of picking 3 m? 5/204 Two letters picked without replacement from aaoaoabnbnb. What is prob of picking 2 b? 3/55 Four letters picked without replacement from {v: 5, p: 2, e: 7, u: 3, i: 3}. Give prob of picking 1 u and 3 i. 1/1615 Four letters picked without replacement from {g: 6, u: 7}. Give prob of picking 4 g. 3/143 Calculate prob of picking 1 x, 1 l, and 1 a when three letters picked without replacement from {x: 3, z: 3, m: 1, a: 6, l: 4, i: 1}. 3/34 Two letters picked without replacement from rrrrrrjrrrrr. What is prob of picking 1 r and 1 j? 1/6 What is prob of picking 1 k and 1 g when two letters picked without replacement from jhkgukk? 1/7 Calculate prob of picking 2 u when two letters picked without replacement from kpkawuwawlupwp. 1/91 Three letters picked without replacement from cfcciiocofcoo. Give prob of picking 1 c, 1 i, and 1 f. 10/143 Two letters picked without replacement from zgkkgookzokgzkokg. What is prob of picking 2 o? 3/68 Calculate prob of picking 1 x and 1 z when two letters picked without replacement from {o: 1, z: 1, x: 2}. 1/3 What is prob of picking 1 t and 1 i when two letters picked without replacement from iiiititiiiitii? 33/91 Four letters picked without replacement from zzzzzzzzzz. Give prob of picking 4 z. 1 Two letters picked without replacement from {p: 1, x: 2, o: 1}. What is prob of picking 1 o and 1 p? 1/6 Three letters picked without replacement from ycbscbhyssybyascs. What is prob of picking 1 y, 1 b, and 1 s? 3/34 Three letters picked without replacement from vpluklf. Give prob of picking 1 l, 1 u, and 1 k. 2/35 What is prob of picking 2 v when two letters picked without replacement from vcvcccc? 1/21 Calculate prob of picking 1 q and 1 f when two letters picked without replacement from ffkqqfqgqqfqq. 14/39 Calculate prob of picking 1 d and 3 a when four letters picked without replacement from vryaryaayd. 1/210 What is prob of picking 1 c and 1 u when two letters picked without replacement from bucucjrzzcu? 9/55 Two letters picked without replacement from {x: 1, g: 1, u: 2, l: 4, v: 3}. What is prob of picking 1 l and 1 g? 4/55 Four letters picked without replacement from mmqqmmmmqmqmq. Give prob of picking 4 q. 1/143 What is prob of picking 1 o, 1 p, and 1 g when three letters picked without replacement from {a: 4, o: 7, p: 1, g: 4, i: 4}? 7/285 Calculate prob of picking 1 m, 1 g, and 2 u when four letters picked without replacement from {y: 1, g: 3, u: 4, m: 4, r: 1, s: 1}. 72/1001 Calculate prob of picking 3 h when three letters picked without replacement from ohooooohhohh. 1/22 Four letters picked without replacement from {a: 5, h: 1, t: 4}. What is prob of picking 3 t and 1 h? 2/105 Calculate prob of picking 3 s and 1 i when four letters picked without replacement from sssssisgsssiisgsssb. 143/646 Calculate prob of picking 1 a and 3 x when four letters picked without replacement from {a: 1, m: 2, h: 6, x: 4, b: 4}. 1/595 Calculate prob of picking 2 b when two letters picked without replacement from {k: 2, p: 1, r: 4, b: 2, s: 3}. 1/66 Four letters picked without replacement from {a: 10}. What is prob of picking 4 a? 1 Calculate prob of picking 1 n and 1 g when two letters picked without replacement from fifnggggggifdgf. 1/15 Three letters picked without replacement from uuvvvnu. Give prob of picking 1 n, 1 v, and 1 u. 9/35 Calculate prob of picking 2 a when two letters picked without replacement from {j: 10, n: 1, a: 9}. 18/95 What is prob of picking 1 k and 2 v when three letters picked without replacement from {k: 1, v: 7}? 3/8 Calculate prob of picking 2 g and 1 m when three letters picked without replacement from {g: 14, m: 1}. 1/5 Two letters picked without replacement from aoooosooaosaoa. Give prob of picking 2 a. 6/91 What is prob of picking 2 y when two letters picked without replacement from gygggyggyyggyg? 10/91 Three letters picked without replacement from xkkxxxkxxxxxxk. Give prob of picking 1 k and 2 x. 45/91 Three letters picked without replacement from {q: 2, n: 3, v: 1, t: 2, s: 4}. Give prob of picking 1 q and 2 s. 3/55 Two letters picked without replacement from {n: 4, c: 2, y: 6}. What is prob of picking 1 n and 1 y? 4/11 What is prob of picking 2 b and 2 m when four letters picked without replacement from {r: 3, m: 3, b: 3, i: 1}? 3/70 Two letters picked without replacement from vethttthv. What is prob of picking 1 t and 1 h? 2/9 What is prob of picking 1 f and 1 w when two letters picked without replacement from {b: 3, f: 4, w: 4, k: 3}? 16/91 Two letters picked without replacement from {f: 1, l: 1, n: 2, x: 1, s: 1, d: 1}. What is prob of picking 1 n and 1 d? 2/21 Four letters picked without replacement from tlteeeeeeleu. What is prob of picking 2 e and 2 t? 7/165 Two letters picked without replacement from qqqqqqtqqqqqqqoqqq. What is prob of picking 1 o and 1 t? 1/153 Four letters picked without replacement from iiieeiemdieelmmmm. What is prob of picking 1 m and 3 i? 5/238 Three letters picked without replacement from ttjvjtvjjjtjojjjj. Give prob of picking 1 o, 1 v, and 1 t. 1/85 Four letters picked without replacement from znzozznzzznnnnno. Give prob of picking 2 n and 2 o. 3/260 Two letters picked without replacement from {k: 1, l: 2, a: 1, m: 1, c: 2}. What is prob of picking 1 m and 1 c? 2/21 Calculate prob of picking 1 g and 1 c when two letters picked without replacement from cggxcccccdxgccxxxc. 3/17 What is prob of picking 2 o when two letters picked without replacement from {o: 4, t: 5, q: 3}? 1/11 Four letters picked without replacement from {g: 2, e: 1, i: 2, s: 5, n: 4, r: 1}. What is prob of picking 3 s and 1 r? 2/273 Two letters picked without replacement from ivhxvxgvvvvivx. Give prob of picking 1 i and 1 x. 6/91 Calculate prob of picking 1 j, 1 g, 1 y, and 1 d when four letters picked without replacement from {b: 4, y: 5, g: 3, o: 3, j: 1, d: 4}. 4/323 What is prob of picking 1 y and 1 r when two letters picked without replacement from yyfrsf? 2/15 Two letters picked without replacement from {c: 2, q: 1, f: 4, y: 6}. Give prob of picking 2 f. 1/13 Two letters picked without replacement from {a: 4, w: 3, x: 2, o: 2}. What is prob of picking 2 o? 1/55 Four letters picked without replace
{ "pile_set_name": "DM Mathematics" }
Suppose -2*y + 4*w = 8, -y - 6 = -0*y - 3*w. Suppose 0 = -3*u - 0*u. Solve -m + u*m = y for m. 0 Let f = 26 - 24. Solve 0*j = j - f for j. 2 Suppose 1 = 4*o - 7. Suppose -o*b + 25 = 3*b. Solve 3 - b = 2*y for y. -1 Let v(b) = -b**3 - 5*b**2 + 5*b - 4. Suppose -5*i + 10*i = -30. Let c be v(i). Solve -3*o = c*o for o. 0 Suppose 3*m = -m + 36. Suppose 3 = -v + z + m, 5*v + 3*z - 22 = 0. Let r be 2*((-45)/(-6))/v. Solve -r*f - 4 = -5*f for f. 2 Let u(m) = -m**3 + 4*m**2 + m - 1. Let p be u(4). Let y(q) = q**2 + 4*q - 5. Let f be y(-5). Solve f = -4*c + 1 + p for c. 1 Let n be ((-6)/4)/(3/(-4)). Let d(l) = 1 - l - l + l**2 + 4*l**n. Let a be d(1). Solve 0 = 2*p + 4 + a for p. -4 Let h(y) = -10*y - 10. Let r(k) = 5*k + 5. Let i(f) = 2*h(f) + 5*r(f). Let g be i(-4). Let x = g + 27. Solve 4*w - x = -0*w for w. 3 Suppose 3*h + 10 = 8*h. Suppose f + h*f - 9 = 0. Solve 0 - f = -3*g for g. 1 Let k = -41 + 41. Solve k = x + 5 for x. -5 Suppose 5*q = 183 - 28. Let z = q + -21. Solve 0 = 3*l + 2 + z for l. -4 Let d = 54 + -49. Solve -4*w + 13 - d = 0 for w. 2 Let t be (-14)/(-84) - (-67)/(-6). Let s be (t/(-11))/((-2)/(-10)). Solve s*q - 4*q + 2 = 0 for q. -2 Suppose -4 = 2*v - 4*v. Suppose v*x = -x + 12. Suppose 3*c - x = -j, 0 = -2*c - 0*c - 2*j + 8. Solve c = -3*a + 2*a + 4 for a. 4 Let j = 37 + -15. Suppose -3*a = -a - j. Solve 9 + a = -5*f for f. -4 Let y be 4/6 + (-40)/15. Let u = 4 - y. Suppose -2*h + u = 0, 16 = 5*r + 2*h - 20. Solve -3*p + 0*p = r for p. -2 Let p be ((-21)/4)/((-21)/112). Suppose 10*a - p = 6*a. Suppose l = -4*l + 25. Solve l*y = a + 13 for y. 4 Suppose -7*c = -8*c + 15. Solve a + 4*a = c for a. 3 Let o = 25 - 22. Solve 0 = o*t - 4*t for t. 0 Let n(l) = l**3 - l**2 + l - 7. Let i be n(0). Let p = i + 7. Solve -2*f = -p - 2 for f. 1 Let n(a) = 7*a**2 + a**3 - 2*a**3 + 2*a - 5 + 0*a. Suppose 4*k - 5*t - 21 + 8 = 0, 2*t - 6 = 0. Let b be n(k). Solve -4*o - 7 - b = 0 for o. -4 Let s = 2 + -2. Let p = s - 0. Solve p = -0*i - 2*i + 10 for i. 5 Suppose -4*o - 80 + 20 = 0. Let b = -12 - o. Solve -1 + 4 = -b*y for y. -1 Suppose -5*n = -2*u - 65, -5*n + 60 = -u - 0*u. Let c = n + -5. Solve 0 = c*r - r for r. 0 Let g be ((-4)/(-6))/(4/42). Solve g*v - 2*v = 0 for v. 0 Let j be (-4 + 3 - -2)*0. Let q(v) = -4*v**2 - 2*v + 2. Let w be q(-2). Let i = w + 14. Solve j = -f + 1 + i for f. 5 Let j = 1 - -3. Let d = j + 1. Suppose -x - 4*x + 1 = -4*k, 4*k = -d*x + 49. Solve k - 2 = 2*c for c. 2 Let t = 16 - 14. Solve -t*y = 6 - 0 for y. -3 Let u = 273 + -705. Let k be (u/(-126))/((-4)/(-14)). Solve 0 = -4*c - 0 + k for c. 3 Suppose 0 = 3*c - 3*r - 2*r - 9, -12 = -4*c + 5*r. Suppose -6 = -3*v - c. Suppose -v = -0*o - o. Solve 0 = 5*m + o - 16 for m. 3 Suppose 7 = -4*p - 5. Let s = 0 + p. Let j be -1 - -5 - (3 + s). Solve 2 = j*l + 10 for l. -2 Suppose -11 - 1 = -3*m. Suppose -4*g - 2*n + 41 = 3*n, 5*g - 4*n = 41. Solve 3 = m*d - g for d. 3 Let c = -6 - -18. Let u be 2/(-5) - c/(-5). Solve -b - u = -1 for b. -1 Suppose -5*q = -174 - 191. Suppose 0 = -4*y, 4*m + 13 - q = -2*y. Suppose 0 = 3*d - 4*u - m, 3 = 3*d + 2*u - 12. Solve 3*j = d + 7 for j. 4 Let k be 2 + (3 - 4)*-1. Solve -2 = -v + k for v. 5 Let g(r) = -6*r**3 - r**2 + r + 2. Let m be g(-1). Solve 2*h - m = -0*h for h. 3 Let d(y) = y - 8. Let q be d(-6). Let c = -7 - q. Let m(z) = z**2 - 20*z + 116. Let u be m(12). Solve -c*b = -2*b - u for b. 4 Let n be 10/25 + 54/15. Let r(u) = -7*u + 1. Let b be r(-2). Solve b = -c + n*c for c. 5 Let x(o) = 3*o - 17. Let w be x(6). Suppose 6 = 3*t + t - 2*b, 0 = -5*t - 4*b + w. Solve -i = -0*i + t for i. -1 Let p be (-3)/(-2 - -1) - 1. Suppose 22 - p = 4*w. Solve w = 4*b - 3 for b. 2 Let w(p) be the third derivative of p**5/20 - p**3/6 + 2*p**2. Let d be w(-1). Solve 2*a - d = -0*a for a. 1 Suppose 0*q + 3*q - 2*n = 42, n = 3*q - 39. Solve -q = r + 2*r for r. -4 Let z = -15 + 23. Let t be (9/12)/3*z. Solve -2*m = t*m for m. 0 Let n = -7 - -12. Solve 2*u + n + 5 = 0 for u. -5 Let v(c) = c**3 - 5*c**2 + 4*c + 2. Let k(y) = -4*y. Let l be k(-1). Let f be v(l). Solve -b = -2*b + f for b. 2 Suppose a - 19 = -0*a - 5*t, -2*a + 20 = 4*t. Solve 0 = -a*j - 7 - 1 for j. -2 Suppose -5*r + 24 = -3*m, 0*r + 3*r = -4*m + 26. Let x be (-3)/(-2) + 3/r. Solve -9 = x*s - 1 for s. -4 Let d(h) = -h + 6. Let p be d(6). Let x = 8 - p. Suppose -u + 2*u = 4*q - 2, 0 = -2*q - 4*u - x. Solve c + 0*c = q for c. 0 Let q be (-2)/3 - 116/6. Let a = 31 + q. Let i(k) = k**3 + 6*k**2 - k - 3. Let w be i(-6). Solve w*v = -a + 2 for v. -3 Suppose 5*v - 47 = 13. Let b be (-9)/(2/1 + -1). Let s = b + v. Solve 3*z + 0 = s for z. 1 Let n = -95 - -100. Solve 0 = n*l + 8 - 23 for l. 3 Let x be ((-2 - 8/(-4))/(-1))/(-2). Solve n = -x*n for n. 0 Let o = 1 + -1. Solve o = 4*r - 3*r for r. 0 Let w = 3 - -9. Let s = w - -3. Solve -y + s = -4*y for y. -5 Suppose -7 = -3*h - 4*t, -2 = -t + 2. Let c be h/4 + (-22)/(-8). Solve c*p - 2 = -4 for p. -1 Let a = 13 + -9. Suppose h + 16 = -a*x - h, 2*x - 2 = 4*h. Let y be x/(-2) + 6/12. Solve -3*i + y = -2*i for i. 2 Suppose 58 - 67 = -3*l. Let k(o) = -o - 1. Let m be k(-6). Solve m*u = 17 + l for u. 4 Suppose -30 = -6*o + 4*o. Let j = o + -9. Solve j = 5*r - 14 for r. 4 Let a(u) = -u**3 + 5*u**2 + 5*u - 1. Let b be a(6). Let f = 9 + b. Suppose -4*t - 4*g + 32 = 0, -3*t + 4*g + f = -15. Solve 5*z + t = -8 for z. -3 Let y = 49 - 46. Solve y = r - 0*r for r. 3 Let h be ((-8)/(-6))/((-6)/(-9)). Solve 0 = -p + h*p for p. 0 Let s(c) be the second derivative of -c**3/6 + 7*c**2/2 - 2*c. Let t be s(5). Let z be -2*((-3)/(-3) - 2). Solve -t*w = 4 + z for w. -3 Let a(x) = -6*x**2 - 8*x - 2. Let f(r) = 5*r**2 + 7*r + 2. Let l(n) = 6*a(n) + 7*f(n). Let o be l(2). Solve o = -4*k - 0*k + 8 for k. 2 Let a be 2 + -2 + 0 + 2. Suppose -2 + 12 = a*b. Solve 0 = -b*y - 4 - 21 for y. -5 Suppose -3 = -2*m + 9. Solve -m*u = -u for u. 0 Suppose 5*i = -k + 21, -4*k + 5*i = -2*k + 3. Let b = k - 3. Solve 3*a + b = -0 for a. -1 Let w be (8/10)/((-11)/(-55)). Suppose -2*n + w*y + 9 = -7, 0 = -5*n + y + 13. Solve n*d + 16 = -2*d for d. -4 Let w = 20 - 15. Solve -w*m - 2 = -3*m for m. -1 Suppose 6 = -3*k + 4*x, -3*k - k - 2*x + 14 = 0. Suppose 0*v - 8 = -k*v. Solve v*z + 0 = 12 for z. 3 Let o be (-1)/3 - 69/9. Let g(k) = 4*k**2 + 6*k + 13. Let h(a) = 5*a**2 + 5*a + 14. Let t(r) = 4*g(r) - 3*h(r). Let c be t(o). Solve 2*f - c - 2 = 0 for f. 2 Let p be 0/((-4)/1 + 2). Let d be (2 - 1) + p - 3. Let y be d/(-8) + (-9)/(-12). Solve 3*q + 2 + y = 0 for q. -1 Let p be (16/(-4))/((-6)/(-3)). Let t be (2 + 4/p)/(-1). Solve -5*z = -t*z + 10 for z. -2 Suppose 3*q - 2*q = 2. Solve q = -k - 0 for k. -2 Let d(c) = c + 14. Let w be d(-8). Solve u = -u + w for u. 3 Let z = -17 + 19. Suppose -5*r + 27 = z. Solve -4*n + r = -3*n for n. 5 Let y be 4/10 + (-16)/(-10). Solve 4*h = 2*h + y for h. 1 Let h be (-4)/(-5) - 48/(-40). Solve s = -h*s + 15 for s. 5 Suppose -8 = 10*p - 14*p. Solve 5*r - p = -7 for r. -1 Let n(w) = w**2 - 2*w + 1. Let q be n(3). Suppose -2*g = -3*g + q. Suppose -o - s + 9 = 0, -g*s - 9 = -s. Solve -x + o = 2*x for x. 4 Let v be (48/(-54))/((-8)/36). Solve -v*f + 2*f - 2 = 0 for f. -1 Suppose -59*k - 55 = -70*k. Solve -k = 3*g - 17 for g. 4 Let m be 4/10 + (-4)/10. Suppose 0 = i - m*i. Solve -2*k - 3 - 1 = i for k. -2 Let f = 11 - 5. Let i = 8 - f. Solve 6*v - i*v - 12 = 0 for v. 3 Let n(q) = -7*q + 16. Let z(v) = -4*v + 8. Let a(x) = -3*n(x) + 5*z(x). Let j be a(10). Solve -3*b + j*b - 3 = 0 for b. -3 Let i = 1 - -4. Let d = -311 + 315. Solve d*m - i - 3 = 0 for m. 2 Suppose 0 = -3*x - 4*j + 5, 5*x - 4*j - 34 + 15 = 0. Solve 0 = x*f - 11 - 1 for f. 4 Suppose 0 = -3*h - 2*a - 4, 2*a + 0 = 5*h + 12. Let i(o) be the first derivative of o**3/3 + o**2/2 + 1. Let w be i(h). Solve z - 2*z = w for z. -2 Suppose 4*p - v = -0*p - 1, 0 = -2*p - 3*v + 3. Solve p = 4*y + 3 + 9 for y. -3 Let n(i) = -2*i. Let q be n(0). Solve 0 = s - q*s - 4 for s. 4 Let i(r) = 5*r - 17. Let v be i(5). Suppose 0 = -6*u + u - 10. Let x be u - (2 - 8 - 0). Solve v - x = 4*l for l. 1 Suppose 12 - 3 = d. Solve d*a - 4*a - 25 = 0 for a. 5 Suppose -2*n - 2*f = 6, -5*f = 3*n + n + 16. Suppose 14 + n = 3*d. Solve 2 = -d*p + 3*p for p. -1 Let l(f) = 5*f**3 - f**2 + f. Let x be l(1). Suppose x = y - 2. Solve 4*m - 13 - y = 0 for
{ "pile_set_name": "DM Mathematics" }
Which is the fourth biggest value? (a) j (b) -0.2 (c) 9 (d) 5/6 b Suppose 4*w - w - 3 = 0. Let u = 0.00541 + -2.00541. Which is the third smallest value? (a) w (b) 1/2 (c) u (d) -4 b Let t be 9/15*(-2)/(-3). Let x = -1/567 - -209/11340. Let l = x - 23/30. What is the smallest value in -0.03, t, l? l Suppose 2*i + 1 = -39. Let v be (6 - 3) + 68/i. What is the third smallest value in 1, 3, v? 3 Let u = -3 - -3. Let v = 0.1201 - -0.2799. Which is the second smallest value? (a) -3/5 (b) v (c) 5 (d) u d Let j = -6.9 + -2.1. Let h = -27 + 27. Which is the second biggest value? (a) 3/7 (b) h (c) j b Let i = 0 + -1. Let t = -60 - -62. Suppose 0*z = t*z, 2*z = -4*v + 20. What is the third biggest value in i, 3/5, v? i Suppose 4*h + 7 = 11. Let d be 4/(-16) + -1 + h. Which is the second biggest value? (a) 1/5 (b) d (c) 2/15 c Let y = -333.4 + 333. What is the third smallest value in y, 16, 0.3, -0.5? 0.3 Let o = -1/3215 + 9653/25720. What is the third smallest value in o, -5, 1, 226? 1 Let t = -71 - -70. Let w be (-6)/10*(-1)/6. Which is the third smallest value? (a) t (b) 4 (c) w b Let f = 678 - 683. What is the biggest value in f, 0.27, 0.1? 0.27 Let j = -91 - -92. Let o = -10 - -26. Which is the second biggest value? (a) 5/4 (b) o (c) j a Let j be (-663)/119 - (2 - (8 + -1)). What is the biggest value in j, -8, -0.1? -0.1 Let g = 13.75 + -14. Let o = 0.15 - g. Suppose 19*m = 14*m + 25. Which is the second biggest value? (a) 3 (b) o (c) m a Let o = -15 - -15. Let y = 0.11 + o. Let l = -3.11 + y. Which is the third smallest value? (a) l (b) -5 (c) -0.4 c Let o = 167/2 + -85. Let d = 1.3 - -8.7. Let w = -5 + d. Which is the third smallest value? (a) o (b) -1 (c) w c Let v = -0.52 - -0.529. Let w = -0.109 + v. Let r = 0.25 + 0.05. What is the second smallest value in w, 1/3, r? r Let p = 2141/5 - 428. Let f = 3165/4 - 809. Let h = f + 18. Which is the third biggest value? (a) p (b) 4/3 (c) h a Let j = 24.74 - 25. Let n = 1.94 - j. Let h = n + 3.8. What is the smallest value in 3/2, -2/11, h? -2/11 Let q = 2/1001 + -1115/57057. Let o = q - 167/228. Let v = -0.5 + 0.4. Which is the biggest value? (a) v (b) 2/7 (c) o b Let r = 0 - 0.2. Let i(l) = -29*l - 10. Let w be i(3). Let m = w + 387/4. What is the second smallest value in m, -0.4, r? m Let j = -283 + 178. Let m be ((-86710)/j)/2 - -1. Let q = -414 + m. Which is the smallest value? (a) q (b) -5/8 (c) -2/13 b Let y = 256 - 261. Which is the third smallest value? (a) 33 (b) -1/3 (c) y a Let g = -0.58 + 0.08. What is the third biggest value in g, 0.1, 0.5? g Suppose 73*h = 75*h - 4. What is the fourth smallest value in h, 1/2, -0.3, 1? h Suppose -2*o - 12 + 0 = -2*y, 2*o = y - 7. Suppose -2*n + n = 3*i - 12, -11 = -3*n - 4*i. Which is the third biggest value? (a) -2/3 (b) -0.5 (c) o (d) n c Let r be ((-8)/12 + 1)/1. Let j = 32/11 + -127/55. Which is the third smallest value? (a) r (b) -10 (c) j (d) -0.4 a Suppose 0 = 3*h + 48 - 0. Let n be 2 - 6 - 72/h. Which is the third smallest value? (a) 1/10 (b) -2/13 (c) n c Let k = 0.22 - 0.42. Let v = 1 - 1.5. What is the third smallest value in v, k, -3? k Let m = -289 - -865/3. Which is the second biggest value? (a) -1/12 (b) 25 (c) m a Suppose -4*r + 4*m + 24 = 0, -11 + 3 = -2*r - 2*m. Suppose 8*q - 3*q + r = 0. Let w be 26*3/(-90) - q. Which is the second biggest value? (a) 0.5 (b) 3 (c) w a Let j = -32 - -71. Suppose -4*z + j = -9. Let l be 33/z - 1*2. Which is the third smallest value? (a) l (b) 3 (c) 1 b Suppose -4*i = -4*c - 12, c + 4*i = -2*c + 26. Suppose 0 = -r + c*r + 2. Let u = -72 - -357/5. What is the biggest value in 2, r, u? 2 Let k(y) = -y**3 - 6*y**2 + y - 2. Let a be k(-6). Let p(t) = t**2 + 9*t + 8. Let x be p(a). What is the third biggest value in -1/7, x, 3? -1/7 Let z(d) = d**3 - 23*d**2 + 23*d - 17. Let y be z(22). Suppose 2*h = y*k - 1 + 5, 2*h + 4*k = -14. Which is the biggest value? (a) h (b) -0.4 (c) 0.6 c Let i be 51/(-108) + 2/8. Let k = 134 - 134.5. What is the second smallest value in i, -0.4, k? -0.4 Let h = -0.3 - -0.28. Let o = -69 - -99. Let r be (-40)/o*(-6)/4. Which is the biggest value? (a) -3 (b) r (c) h b Let u(o) = o**2 + 19*o + 64. Let z be u(-15). Which is the third smallest value? (a) z (b) 8 (c) -0.4 (d) 0.3 a Let w = 0.3 + 0. Let l = 0.4 - w. Suppose -4*y + 9*t = 12*t + 32, 3*y - 4*t = 1. What is the second biggest value in l, -2, y? -2 Suppose 34 = 7*f + 6. Which is the fourth smallest value? (a) f (b) 0.5 (c) -2 (d) -26 a Let v be 7 + -14 - (-5 + (-1 - -5)). Which is the fourth biggest value? (a) 1 (b) 7 (c) -5 (d) v d Suppose 3*v = c + 9, -c - 2*v + 17 - 6 = 0. Suppose -5*t + 5*o + 65 = 2*o, o = t - 15. Suppose c*x = 4 - t. What is the third biggest value in 0.2, -0.02, x? x Let h(w) = 6*w**2 + 2*w - 7. Let t be h(-4). Let y be (4 + t/(-21))*3. What is the second biggest value in 3, 0.1, 18, y? 3 Let g = -0.442 + 0.042. What is the third biggest value in -5/13, g, 0.2? g Let z = -1264 + 1265. Which is the smallest value? (a) z (b) -19/8 (c) -3/5 b Let h = -2556 - -51053/20. Let q = 11/4 + h. What is the second biggest value in 0.4, q, 2? 0.4 Let r = 17 + -16. Let c be 3/(-6)*(-8)/50. Let v = 0.4423 + -0.0423. What is the smallest value in c, v, r? c Let o = 8.91 + -9.21. What is the biggest value in o, 99, 5? 99 Let w(r) = 3*r + 84. Let u be w(-27). Suppose -10*n = u + 27. Which is the smallest value? (a) -0.3 (b) n (c) -6/11 b Let o = -2.073 + 18.813. Let n = 17 - o. Let d = n - 0.16. Which is the smallest value? (a) 0.5 (b) d (c) -2 c Let l = 0.0146 - 0.0526. What is the biggest value in 2, l, -0.4? 2 Let c = 1.1 + -1. Let v = 0.45 + -33.45. Let h = v + 33. What is the second biggest value in 2/7, c, h? c Let r = -48.8 + -32.2. What is the third smallest value in 4, 1.6, r? 4 Let x = -4 - -3. Let g be (x - 0)*6/(-15). Let c = 9.51 + -9.81. What is the third smallest value in g, c, 0.1? g Let n = -1.51 - -1.21. What is the biggest value in n, 3, -2/11, 19? 19 Let p = 163.4 - 46.4. What is the second smallest value in p, -2/3, 0.1? 0.1 Let i = 103.17 + -102. Let v = -1.1 + i. Let l = v - -4.93. Which is the smallest value? (a) -2/7 (b) 0 (c) l a Let o be 15/(-16)*62/93. What is the second smallest value in 0, 3/5, o? 0 Suppose -20*q + 63 = -57. Let k be (-192)/330 + (-4)/(-10). Which is the smallest value? (a) 0 (b) k (c) q b Let h = 206.4 - 232. Let v = h + -5.4. Let j = 30.6 + v. What is the third smallest value in j, 4, 5? 5 Let u = 36.64 - 36. Let v = -30.86 + 31. Let j = v - u. Which is the third smallest value? (a) 2/5 (b) j (c) -4 a Let t be 238/42*8/68. Let x = 5 + -4.97. Let y = 0.09 - x. Which is the second smallest value? (a) 2 (b) t (c) y b Suppose 2*s + 2*p + 4 = 4*p, 2*s - 3*p = -7. Suppose 2*f = -3 - s. Which is the biggest value? (a) 13 (b) 0 (c) -5 (d) f a Let z be -16 + (9 - 3) + 15. What is the third smallest value in z, -4/17, 4? z Let t be 2*3 - (3 - 1). Let l = 328 - 327.5. What is the second biggest value in l, 2/17, t? l Let n = -466.3 + 466. Which is the biggest value? (a) -14 (b) n (c) 1/3 (d) -3 c Let y = -177 + 177. Which is the third smallest value? (a) 18 (b) y (c) 4 (d) -3 c Let j = -78.1 + 83. Let z = j + -6. Which is the third smallest value? (a) -5 (b) z (c) -3 b Let s be (-128)/(-48) + (-2)/(-6). Let k(j) = j**2 - 5*j + 4. Let l be k(s). Which is the smallest value? (a) -5 (b) l (c) -3 a Let j = -3.6 - -0.6. Let y be 4 + (33*-1 - -2). Let l be 6/18*1*y/(-6). Which is the biggest value? (a) l (b) j (c) 0.2 a Let x = 1.014 - 0.014. Let l = 1.5 + -2. Let r = x + l. Which is the third biggest value? (a) -1 (b) r (c) -0.2 a Suppose 2*v - 10 = -0, -5*v = 2*m - 33. Let s = 39.2 - 39. Which is the second biggest value? (a) s (b) m (c) -8/7 a Let p be (15/(-25))/(2 + 0 + -3). Let y = -6/5 + p. Which is the smallest value? (a) y (b) 0.4 (c) 0.5 a Let k = 803/4 + -201. Which is the second biggest value? (a) -2/3 (b) 5 (c) k (d) 0.11 d Let k = 11.66 + -11.86. What is the fourth smallest value in 65, 3, 1/2, k? 65 Let g = -72.675 - -72.8. Which is the third smallest value? (a) -2 (b) 2 (c) g (d) 2/9 d Let h = 8 - -14. Let b = -36 - -14. Let c = b +
{ "pile_set_name": "DM Mathematics" }
of c(w) wrt w? -18*w**2 + 60*w Let a(w) be the first derivative of 32*w**6 - 4*w**3/3 - w**2/2 + 166. Find the third derivative of a(y) wrt y. 11520*y**2 Let i(p) = -3*p**4 + 5*p**3 + 66*p**2. Let m = -159 + 158. Let w(a) = -a**2. Let n(k) = m*i(k) - 5*w(k). What is the third derivative of n(t) wrt t? 72*t - 30 Let u(f) be the first derivative of 11*f**9/3024 + 3*f**5/40 - f**3/3 - 3. Let v(z) be the third derivative of u(z). Find the second derivative of v(l) wrt l. 220*l**3 Differentiate 9*m + 128 - 5*m + 38*m + 25*m + 0*m wrt m. 67 Let u(j) = 0*j + 12 - 5*j + 3*j. Let v be u(5). What is the second derivative of -w**v + 31*w - 17*w - 13*w wrt w? -2 Let a(h) = -115*h**2 - 62*h - 3. Let n(u) = 17136*u**2 + 9240*u + 448. Let s(c) = 448*a(c) + 3*n(c). Find the second derivative of s(i) wrt i. -224 What is the second derivative of 2*r + 2485 - 5*r - 95*r**5 - 2327 wrt r? -1900*r**3 Suppose 2*d = -2*d + 20. Suppose -3*b = -4*v - 0*v - 37, 31 = d*b + v. What is the third derivative of -b*t + 7*t - 2*t**2 + 4*t**5 wrt t? 240*t**2 Let y be 10/(-4)*(-60)/50. Let j(r) be the second derivative of -r**2 - 8*r + 0 - 7/6*r**y. Find the first derivative of j(s) wrt s. -7 Suppose 0 = 3*o + v - 25, -1 - 16 = -3*o + v. Differentiate -31 - 19 + 42*y**2 + 6 + o with respect to y. 84*y Let a be (1/(-1))/(5/(-15)). Suppose 3*o = j, -22 = -j - a*o - 4. Find the first derivative of -4 + j - 9 - 8*w wrt w. -8 Suppose 9*k - 16 - 308 = 0. What is the third derivative of g - 35*g**5 + g - k*g**2 - 2*g wrt g? -2100*g**2 What is the third derivative of 8*y**4 + 100*y**2 - 8*y**4 + 407 + 486*y**6 - 407 wrt y? 58320*y**3 Let v(r) = -187*r**3 - 57*r**2 - 5*r + 5. Let u(k) = 93*k**3 + 28*k**2 + 3*k - 3. Let b(l) = -5*u(l) - 3*v(l). Find the third derivative of b(w) wrt w. 576 Let z = -15 - -18. What is the third derivative of 12*u**4 + 0*u**4 + 3*u**2 + 0*u**3 + 0*u**z wrt u? 288*u Let m(z) be the third derivative of -19/210*z**7 + 1/4*z**5 + 0*z**3 + 0*z**6 + 0 - 5*z**2 + 0*z**4 + 0*z. What is the third derivative of m(v) wrt v? -456*v Let v be (-33)/(-7) - 9/(189/(-6)). What is the third derivative of w**5 - 22*w**2 - w**5 - 2*w**v - 8*w**2 wrt w? -120*w**2 Let a(w) = 88*w**3 - w**2 + 146. Let c(p) = -2*p**3 + 2. Let g(h) = -a(h) - 4*c(h). Find the first derivative of g(q) wrt q. -240*q**2 + 2*q Suppose -t + 6 - 5 = 0. Suppose -14*g + 2*g = -36. Differentiate -1 - t + d**3 + 0 + 3*d**g wrt d. 12*d**2 Let d = -28 - -30. Suppose d*w - 3*w + 4 = 0. What is the second derivative of -1 - c - 10*c**w - 2 + 3 wrt c? -120*c**2 Find the first derivative of -17*t**4 - 8*t**4 + 34 + 109*t**4 + 73 + 29 wrt t. 336*t**3 Let d(o) be the third derivative of 0*o + 0 + 5*o**2 + 0*o**6 + 0*o**5 + 1/84*o**8 + 0*o**7 + 2/3*o**4 + 0*o**3. What is the second derivative of d(f) wrt f? 80*f**3 Suppose 14 = 8*m - 2. Find the second derivative of 8*a**2 + 4*a**3 + 11*a**3 - 15*a - 8*a**m wrt a. 90*a Let o(x) = 221*x**3 - 9*x**2 + 159*x. Let q(z) = -110*z**3 + 4*z**2 - 79*z. Let c(g) = -8*o(g) - 18*q(g). What is the second derivative of c(a) wrt a? 1272*a Let d(l) be the third derivative of -71*l**5/60 - l**4/4 - l**3/6 + 36*l**2. Find the second derivative of d(m) wrt m. -142 Let s(r) = 12*r + 7*r**2 + 155 - 159 + 3*r**2. Let u(z) = -z**2 - z - 1. Let x(b) = s(b) + 12*u(b). What is the derivative of x(t) wrt t? -4*t Let b(i) be the first derivative of -25*i**4/4 + i**3/3 - 45*i**2/2 - 84. Find the second derivative of b(l) wrt l. -150*l + 2 Let m(y) = 385*y**3 + 9*y**2 + 9*y + 711. Let t(h) = 96*h**3 + 2*h**2 + 2*h + 178. Let k(a) = -2*m(a) + 9*t(a). What is the derivative of k(j) wrt j? 282*j**2 Let y(w) = -7*w - 38. Let h be y(-7). Find the third derivative of -87*g**5 + h*g**5 + 38*g**2 + 43*g**5 wrt g. -1980*g**2 Let s(p) be the third derivative of -7*p**6/24 - 17*p**3/3 - 8*p**2 - 2*p. What is the first derivative of s(w) wrt w? -105*w**2 Let k(x) = -x**2 - 14*x - 16. Let u be k(-10). What is the derivative of 3*z - z - 6*z + u - 3*z wrt z? -7 Let f(i) = 28*i + 88. Let y be f(-3). Let a(s) be the second derivative of 0 + 5*s - 7/12*s**y - 7/6*s**3 + 0*s**2. Find the second derivative of a(c) wrt c. -14 Let p(v) be the third derivative of 206*v**5/15 + v**4/12 - 107*v**3 + 255*v**2. Find the first derivative of p(a) wrt a. 1648*a + 2 Let l(m) = -m**2 - 6*m - 2. Let t be l(-5). Suppose 5*n = -3*k + 14, t*n - n - 3*k - 14 = 0. What is the first derivative of -5 - 12*z**n - 730*z + 730*z wrt z? -48*z**3 Let d(t) be the second derivative of 79*t**6/30 + 32*t**2 + 64*t. What is the first derivative of d(z) wrt z? 316*z**3 Let z(a) be the second derivative of 0*a**4 - 5/2*a**2 + 1/4*a**5 + 15*a + 0 + 0*a**3. Differentiate z(d) wrt d. 15*d**2 Let a(o) be the first derivative of 2*o**2 - 6*o - 9. Let l be a(3). What is the third derivative of 6*n**6 - n**6 - n**l + 10*n**2 + n**6 wrt n? 600*n**3 Let k(l) = -4*l**2 + 8. Let f(j) = -j**3 - 6 + 5*j**2 - 4 + 3. Let x(a) = 4*f(a) + 5*k(a). Differentiate x(v) with respect to v. -12*v**2 Let x(c) be the second derivative of 751*c**5/20 - 71*c**4/4 + 677*c. Find the third derivative of x(m) wrt m. 4506 What is the second derivative of -159 + 8*d - 126*d**4 + 163 + 34*d**4 + 0*d wrt d? -1104*d**2 Suppose -4*q + 31 - 23 = 0. Let f(u) be the first derivative of 6/5*u**5 + 0*u - 5 + 0*u**q + 0*u**4 - 8/3*u**3. What is the third derivative of f(d) wrt d? 144*d Let h(x) = -x**2 + x - 3. Let n(a) = -111*a**2 + 32*a - 27. Let b(w) = 18*h(w) - 2*n(w). What is the second derivative of b(d) wrt d? 408 Let y(g) be the third derivative of g**9/252 + 37*g**6/120 - 23*g**5/10 - 96*g**2. What is the third derivative of y(i) wrt i? 240*i**3 + 222 Suppose 10*x - 4*x = 24. Let k(t) be the third derivative of 0 + 0*t - 3*t**2 + 1/3*t**3 - 1/8*t**x. What is the first derivative of k(l) wrt l? -3 Let r be ((-4)/(-5))/(15/75). Suppose -r = s - 7. Find the third derivative of -f**6 + 5*f**2 + 28*f**s - 14*f**3 - 14*f**3 wrt f. -120*f**3 Let n(q) be the second derivative of 261*q**7/14 + 17*q**3/2 + 19*q - 4. Find the second derivative of n(v) wrt v. 15660*v**3 Find the second derivative of -4538*j + 555*j**5 - 3402*j + 7128*j - j**4 + j**4 wrt j. 11100*j**3 Let a = -12 - -16. Let k(u) = 4*u - 11. Let b be k(a). What is the second derivative of 0*d**5 + 2*d**b + 12*d + 3*d**5 - 3*d wrt d? 100*d**3 Let u(j) be the second derivative of -j**4/6 + 71*j**3/6 + 5*j**2 + 6*j + 3. What is the first derivative of u(i) wrt i? -4*i + 71 Let x(r) be the first derivative of 52*r**3/3 - 34*r + 37. Differentiate x(j) wrt j. 104*j What is the third derivative of -17 - 145*z**5 + 50*z - 27*z + 0*z**2 + 17 - 3*z**2 wrt z? -8700*z**2 What is the third derivative of 148*j**3 + 8*j**2 + 13*j**2 - 44*j**3 wrt j? 624 Let k = 757 - 752. Let x(u) be the third derivative of 0*u**3 + 0*u + 3/20*u**k - 5/24*u**4 + 0 - 9*u**2. What is the second derivative of x(w) wrt w? 18 What is the third derivative of -18 - 75*w**2 + 16*w**5 + 17*w**5 + 34*w**2 + 39*w**2 wrt w? 1980*w**2 Let c(z) = -353*z**2 + 303*z + 13. Let o(v) = 177*v**2 - 151*v - 6. Let q(k) = -6*c(k) - 13*o(k). What is the second derivative of q(m) wrt m? -366 Let h(c) be the first derivative of -33*c**5/5 + 12*c - 9. What is the first derivative of h(s) wrt s? -132*s**3 Let x(d) = 2*d**2 - 10*d + 10. Let f be x(5). What is the derivative of f + 9*a**3 - 3*a**3 - a**3 + 7*a**3 wrt a? 36*a**2 Suppose 0 = 3*b - 12, -2*m - 12 = -3*b - 2*b. Let q(l) be the second derivative of 0 - l**2 + 0*l**3 - 4*l - 1/3*l**m. Find the first derivative of q(k) wrt k. -8*k Let y(j) = -173*j**4 + 6*j**3 - 3*j + 224. Let a(s) = -171*s**4 + 8*s**3 - 4*s + 225. Let p(t) = -3*a(t) + 4*y(t). What is the derivative of p(i) wrt i? -716*i**3 Let o(h) = h**3 + 7*h**2 + 4*h + 18. Let x be o(-6). Find the first derivative of -11 - 10 - x*s - 22 + 8 wrt s. -30 Let b(f) be the second derivative of -f**6/30 + 31*f**4/12 + 91*f**2 + 225*f. Differentiate b(u) wrt u. -4*u**3 + 62*u Let p(g) = 3*g**2 - 5*g + 1. Let v(y) = 24*y**2 + 21*y - 53. Let f(j) = 6*p(j) + v(j). What is the derivative of f(b) wrt b? 84*b - 9 Let w(v) be the first derivative of 0*v + 0*v**4 - 7/2*v**6 + 0*v**5 + 4 + 0*v**2 + 25/3*v**3. What is the third derivative of w(o) wrt o? -1260*o**2 Let i(s) = -s**5 - s**4 +
{ "pile_set_name": "DM Mathematics" }
- (30 + -30) 0 Calculate 12/(-20) + 2 + (-96)/15. -5 What is the value of (-6)/130 + (-4)/5 - -1? 2/13 What is (-12)/4 + 12/2? 3 Calculate ((16/20)/(-2))/(21/(-30)). 4/7 What is 1/(-26)*(-1 + 5)? -2/13 Calculate (-11)/((-495)/(-12))*(-12)/(-8). -2/5 4/(-45)*(-11)/(22/3) 2/15 Evaluate ((-2)/5)/((-44)/(-20)). -2/11 What is (-12)/(-4) + 20*2/8? 8 Evaluate 500/(-85) + (-108)/51 + 2. -6 Calculate -6*3/(540/24). -4/5 (0 + (-1 - -3))*1/4 1/2 What is the value of 4/(-20) + (-3)/135? -2/9 Evaluate -71 + 76 + -13*1. -8 Calculate ((-4)/(-920)*5)/((-3)/(-12)). 2/23 12/((-6)/2) - (-276)/60 3/5 Evaluate 1 + (-92)/(-12) + -12 + 5. 5/3 (-6)/((-1)/2*(-17 + 13)) -3 Evaluate (5 + 48/(-9))*(-12)/(-16). -1/4 Evaluate ((4/6)/1)/(2/9). 3 Calculate ((-12)/9)/(20/(-30)). 2 Evaluate -13 + (0 - -4) + 1. -8 Calculate (-6)/(-48)*(-4)/5. -1/10 Evaluate (-11 + (-2)/((-14)/7))/2. -5 12/(-3) + (66/(-9))/(-2) -1/3 What is (-10 + 16)*3/18? 1 Calculate (2/(-10))/(10/(-5) + 1). 1/5 What is (-4)/(-5) + (-437)/190? -3/2 What is 7 - (1 - (-7 + 7))? 6 Evaluate ((-5)/2)/(2/4). -5 Evaluate 1 - (-70)/(-56)*(-14)/(-10). -3/4 What is ((-204)/42 - -5)/((-5)/10)? -2/7 Calculate ((-22)/(-11))/(2/3). 3 2/(-3 + (-17)/(-5)) 5 What is -12 + (8 - (16 - 9))? -11 Calculate 3 - 16/(-24)*1*3. 5 Calculate 2/28*(-7 + 3). -2/7 (-24)/(-20)*(-180)/72 -3 Evaluate 205/(-820) - (-37)/4. 9 Calculate -2 - ((-26)/24 - (-14)/(-21)). -1/4 (4/6)/((-132)/(-30) - 4) 5/3 (-11*14/385)/((-24)/(-10)) -1/6 (14 + -15)*(-1)/2 1/2 Evaluate 36/(-8)*20/(-45). 2 -2*11/((-33)/2) 4/3 What is 74/(-26) + -6*(-3)/6? 2/13 Evaluate -1 - (-23 - -10)/(0 + 11). 2/11 What is (-20)/21 + (-8)/(-12) + 0? -2/7 Evaluate 156/(-234)*(-1)/(-3). -2/9 What is (18 + -17)*(1 - -5)? 6 Calculate 2/(-8)*(5 + (-27)/5). 1/10 Evaluate (18/(-75))/((-3)/5). 2/5 Evaluate ((-1)/4)/1 - 253/92. -3 What is (-1)/(-6) + -4*52/96? -2 Calculate (66/(-9))/(5/((-90)/(-12))). -11 (-16)/2*(-3)/4 6 Evaluate -4 + ((-376)/40 - -14). 3/5 Calculate (-10)/(-4)*(3 + 40/(-8)). -5 Evaluate 117/(-30) + 4 - 16/(-40). 1/2 What is 5*5/(-125)*-10*-5? -10 Evaluate (-21)/12 - 270/(-40). 5 What is the value of (59 - 5)/(-6) - -9? 0 What is 31/(93/18)*2/42? 2/7 Evaluate 230/(-1725) - 2/(-6). 1/5 What is the value of (4/(-180)*-6*3)/2? 1/5 What is (-18)/(-99) + 31/11? 3 2/(-6) + ((-5)/15)/(-1) 0 What is (-12)/9 + 2 - (-2)/6? 1 ((-64)/8)/48*(-4)/6 1/9 Calculate ((-6)/(-30))/((-16)/(-10)). 1/8 What is 0*4/20*-1? 0 96/45 + 0 + -2 2/15 Calculate -15 + -1 + 12 - 32/(-10). -4/5 Calculate -1*(-2)/(-7) - (-30)/252. -1/6 Calculate (-28)/4 + -6*4/(-4). -1 What is the value of (18/(-27))/(2/(-3))*-5? -5 0 + 6/(-10) + 4556/(-1340) -4 Calculate -6 - 700/(-49) - (-4)/(-14). 8 Evaluate (-1)/2*296/37. -4 What is 4 + (-14)/(-98) + 202/(-42)? -2/3 What is ((-2)/7)/(791/(-49) - -16)? 2 What is the value of (-10)/4*2*4/(-10)? 2 What is the value of (-4)/(20/(-15)) + -5? -2 What is (-81)/9 + (6 - -2)? -1 33/(-363)*(-2 + 1) 1/11 What is -15 + 13 + 2*(-2)/2? -4 What is the value of 79/13 - (-43 - -49)? 1/13 Calculate -10*(-4)/42 + 198/(-693). 2/3 Calculate -8 + (4 + -5)*-5. -3 What is 3 + (-3)/(30/34)? -2/5 What is ((-36)/(-42))/(44/(-28))? -6/11 Evaluate (-2)/(-5) + 99/(-165). -1/5 What is 1*-7*(12 + (-3 - 10))? 7 Calculate -5 + 1/((-138)/(-702)). 2/23 What is the value of ((13 - 14)*(7 + 1))/(-1)? 8 What is 11 - (-8 - -2)*(-16)/16? 5 ((-6)/(-72))/(-1 - (-4)/6) -1/4 (-3)/12 + 2/(-120)*-27 1/5 Calculate (-6)/(-14) + 2232/(-504). -4 Evaluate (15 + 1079/(-78))*(-8)/14. -2/3 What is the value of -15*11/33*(1 + -2)? 5 What is (-58)/232 + 1 + (-26)/56? 2/7 What is the value of (2/8)/((-6 + 5)/3)? -3/4 Calculate (3 + (-50)/18)/(6/(-18)). -2/3 Evaluate (-40)/12 + 2/(-3). -4 Evaluate 0 + -2 + (-64)/(-28). 2/7 What is the value of -2 - 4/(12/9)? -5 Calculate (52/(-18) - -3)*15/5. 1/3 What is the value of (-20)/5 + 0/(8 - 3)? -4 (-2 + 3)/(5 - 4) 1 What is the value of (-10 - -8)*1/2? -1 (-2)/(0 - -2) - (29 + -29) -1 What is the value of (-7)/28*4/(-12)*3? 1/4 What is -4 + 4 + (-4)/24? -1/6 What is (-5 + 0)*1*(-8)/(-20)? -2 Evaluate (69/115)/((-2)/20) + 4. -2 (-10*7/14)/5 -1 What is (-18)/9 - 2 - 2? -6 ((-4)/5)/((-68)/20 - -3) 2 Calculate (-3)/27 - 88/18. -5 Evaluate ((-156)/(-8))/(-13) + (0 - 0). -3/2 What is the value of (4/(-12))/(2/(-18))? 3 What is (-144)/(-84) - (1 + 1)? -2/7 What is (((-3)/(-15))/(4/(-30)))/(-2)? 3/4 -7 - 26*(-2)/8 -1/2 Evaluate (-68 - -57) + 0 + 13. 2 ((1 - 6)/45)/(5/(-30)) 2/3 What is (-13)/((-273)/(-56)) - -1? -5/3 What is the value of (-14)/(-10) - (2 + (-16)/10)? 1 What is the value of (((-10)/(-15))/1)/((-4)/(-6))? 1 Calculate (-5 + (-36)/(-9))*5. -5 Evaluate (208/(-42) + 5)*3. 1/7 What is (-34)/(-10) - (-5 + 14 + -5)? -3/5 (-84)/36 + 3/1 2/3 What is -3 + 4 + -5 + (-68)/(-12)? 5/3 Evaluate 1/(-7) + (-9)/(-14). 1/2 What is (-4)/13*21/(-42)? 2/13 Evaluate (-12)/(-8)*(-8)/(-30). 2/5 What is the value of ((3 - -4)/(-21))/(5/(-2))? 2/15 ((1/6)/1)/((-34)/68) -1/3 ((-18)/(-36))/((-3)/30) -5 Calculate (-40)/(-690)*(-3)/2. -2/23 (-22)/18 - (24 + -25) -2/9 What is (((-12)/9)/(-2))/((-238)/(-153))? 3/7 42/(-36) - 15/(-9) 1/2 What is 1/5 + (-205)/25 + 7? -1 Calculate (-27)/(-6) + (-2)/4. 4 Evaluate 1 + (2 - (-3)/(5/(-5))). 0 What is the value of (-15)/(-18) - 343/(-42)? 9 Evaluate 35/(-11) + ((-60)/4)/(-5). -2/11 (-33)/12 + (-1 - -1) + 3 1/4 What is the value of (-4)/28*(2 - 4)/4? 1/14 Calculate -3*-4*(2 + 45/(-20)). -3 Evaluate 1*(-4)/(-56)*6. 3/7 Evaluate (-10)/(-65) + ((-56)/(-26))/(-1). -2 What is 3/1 + -2 + 4? 5 Calculate 60/(-6) + 0 - -5. -5 (-91)/(-26)*(-6)/7 -3 What is (1/3)/((-9)/(-81)) - -1? 4 Calculate 16/(-10)*(-2 - 5/(-2)). -4/5 What is the value of (-148)/(-40) - -2*(-13 - -11)? -3/10 What is the value of 11*40/110 + (-76)/18? -2/9 ((-16)/(-10))/((-15)/525*-14) 4 What is 24/(-16)*4/(-14)? 3/7 ((-230)/(-75) + (1 - 4))*3 1/5 What is the value of (-8 - (-49)/7)*(-2)/8? 1/4 What is the value of (-5)/(-2)*141/(-705)? -1/2 What is 182/(-56) + (2 - -1)? -1/4 6 - -15*4/(-20) 3 Evaluate ((4/5)/2)/((-882)/(-630)). 2/7 What is ((-5225)/(-33))/(-19)*(-18)/15? 10 Calculate ((-2)/3)/((-246)/(-18) + -11). -1/4 1/1*(-81)/54 -3/2 What is the value of -1*((-68)/(-12) - 5)? -2/3 Calculate ((-6)/(-15))/(232/40 - 6). -2 ((-6)/32)/((5 - 9)/(-16)) -3/4 Calculate -3 + (-3 - 3/(-1)). -3 What is (-9)/(-42)*(-28)/(-24)? 1/4 (-8 - -9) + 5/(-7) 2/7 Calculate (-146)/30 - (-3 - (-329)/105). -5 Calculate (-2)/(-4) + 38/(-95). 1/10 Evaluate (0/6)/(2/2). 0 What is the value of 7/56*-12*(-4)/(-45)? -2/15 What is 1*3*((-8)/(-30))/(-4)? -1/5 What is (-1)/4 + (-2)/(-24)*39? 3 What is the value of (-24)/(-14) - 4/(-14)? 2 What is the value of -6 - (55/(-33) + 33/9)? -8 What is ((-6)/(-14))/(((-45)/(-12))/(-5))? -4/7 Calculate (-4 + (-9)/(-3))/(2/(-6)). 3 Evaluate ((-5)/35)/((-345)/322). 2/15 Calculate (30/(-40))/(9/(-24)). 2 ((-28)/(-24) + -1)/(22/33) 1/4 Evaluate 1*2/1*120/(-360). -2/3 (-4)/(-22) - (-92)/(-22) -4 Calculate (-2)/13 + 55/(-65)*1. -1 What is (1/(-2))/((-14)/140)? 5 Calculate (65 - 67)/((-3)/((-15)/(-2))). 5 Evaluate (-72)/20 + 2/(-5) + 1. -3 (-25)/105 + (-2)/(-3) 3/7 ((27/(-6))/(15/(-40)))/22 6/11 Calculate 2 - 195/126 - (-26)/(-91). 1/6 What is the value of 20/(-40)*(-1 - 0)*8? 4 What is the value of 2/7*(5/(-1))/5? -2/7 Calculate 0*(2 + (-15)/5). 0 What is 6/(-9)*1*195/(-26)? 5 Calculate (9 - 178/18)*9/(-60). 2/15 Evaluate 7/6 - -2 - (-1)/(-6). 3 Calculate (-2)/(((-6)/(-4))/(15/10)). -2 (-13)/15 + 9/45 -2/3 What is (36/10)/(-3)*50/15? -4 What is (3*(-3)/(-9))/(-17 + 15)? -1/2 What is the value of 14/(-6) + 2 - (-7)/21? 0 (-55 - -47) + (1 - -2) -5 What is the value of (1222/(-1690) - (-1)/(-13))*5? -4 What is the value of (-20)/52*(-8)/(-20)? -2/13 What is 1505/220 + -6 - (-12)/(-16)? 1/11 (-80)/50*(-3)/6 4/5 Calculate (-2*(-2)/(-7))/(4/(-14)). 2 Evaluate (-228)/3990 + 2/10. 1/7 Calculate 7 + (-3 - 54/6). -5 0/((2 + -1)/(0 - -1)) 0 Calculate 2/(0 + (-8)/20). -5 4/54 + (-133)/(-756) 1/4 What is the value of -1 + -5 - (-2 - 1 - 2)? -1 What is the value of (-15)/(-50) + 94/(-180)? -2/9 Evaluate 7*1 - (-48)/(176/(-11)). 4 What is (-500)/(-45)*(-1)/4 + 3? 2/9 Evaluate (1/(-3))/(440/(-33) - -13). 1 (-3)/2*(-301)/(-258) - -2 1/4 What is the value of (2/12)/(21/(-210))? -5/3 What is (6 - 2)/(-12)*1? -1/3 Evaluate 4
{ "pile_set_name": "DM Mathematics" }
3*w**2 + 2*w**2 + (0*w - w + 0*w)*(-3*w + 6*w - 2*w) - 2*w**2 - 1 + 1)*(0 - 2*w + 0). 12*w**3 Expand (3*z**3 + 0*z**3 - 2*z**3)*(-z + 3*z - 3*z + 1 - 1 + z + (-1 + 1 - 2*z)*(-2 + 3 - 2) + 3*z - 5*z + z). z**4 Expand (0*o + 0*o - 2*o)*(-6 + 1 + 2)*(9 - 7 - 8). -36*o Expand (8*s**4 - 8*s**4 + 2*s**5)*(-1 + 2 + 1) + 0*s**5 - 2*s**5 + s**5 - s**3 + s**3 + 5*s**5. 8*s**5 Expand (4*q + 3*q - 5*q)*(q - 4 + 0 - 3*q)*(6 + 3 - 5). -16*q**2 - 32*q Expand -2*j + 3*j**2 + 2*j**2 + 4*j**2 + (-4 + 1 + 5)*(-j**2 + 4*j - 4*j) + 1 - 1 - 2*j**2 - 2*j**2 + 6*j**2 - 2*j**2. 7*j**2 - 2*j Expand (-59 + 5*p - p + 60)*(0*p**3 + 3*p**3 - p**3). 8*p**4 + 2*p**3 Expand (9*a - 4*a + 3*a)*(-3 + 1 + 1) + (-3*a + 3 - 3)*(-2 + 1 + 3). -14*a Expand 92*a + 3 + 2 - 104*a + (-3*a + 3*a - a)*(-1 - 5 + 5). -11*a + 5 Expand (-2*l**2 + 2*l + l**2 + 0*l)*(0*l**3 - 2*l**3 - l**3) + (4*l**2 - l**2 - l**2)*(-5 + 2*l**3 + 5). 7*l**5 - 6*l**4 Expand (4*o**3 - o**3 - 5*o**3)*(0*o + 0*o - 3*o)*(-o + 2*o + 0*o). 6*o**5 Expand ((i + 1 - 1)*(0 + 5 - 3) + 3*i - 4*i + 3*i)*(i + i**3 - i). 4*i**4 Expand (432 - 11*r**4 - 432)*((-r + 3 - 3)*(0 - 4 + 3) - 5*r - r + 4*r). 11*r**5 Expand (-4*u + u + 2*u)*((6*u - 5*u + 0*u)*(-3*u + 3*u + 2*u**3) + 2*u**4 + 0*u**4 + 0*u**4). -4*u**5 Expand (-1 - 1 + 1)*(-i + i + i) - 1 + 1 - i. -2*i Expand (-4*h**2 + 2*h**2 - 2*h**2)*(-6*h**2 + h**2 + 0*h**2). 20*h**4 Expand (0 + 4*f + 0 + 1 - 1 - 2*f + 5*f - 3*f + 0*f + (-1 - 2 + 1)*(-5*f + f + 3*f) - 1 + 1 + f + 0*f + 6*f - 4*f + 5*f - 4*f - 3*f)*(-4 - 3*f + 4). -21*f**2 Expand (3 - 1 - 1)*(3*q - 2*q - 3*q) + (1 - 1 + 2*q)*(39 - 42 + 37). 66*q Expand 0*a**4 + 0*a**4 - 2*a**5 + a**5 - 4*a**4 + 4*a**4 + (-6*a**2 + 2*a**2 + 3*a**2)*(2*a**3 + 2*a - 2*a) + 0*a**5 + a**5 - 2*a**5 - 5*a**5 - 5*a**5 + 8*a**5. -6*a**5 Expand s + s - 4*s + (5*s - 6*s + 3*s)*(-3 - 4 + 6). -4*s Expand (m + 3*m - 3*m)*(m + 4*m - 2*m)*(4*m - 3*m - 2*m + (4 + m - 4)*(3 + 2 - 3)). 3*m**3 Expand a - 4*a**2 - a + (0*a**2 + a**2 - 3*a**2)*(-1 + 0 + 0) + (-3*a + 5*a - 3*a)*(-2*a + a + 2*a). -3*a**2 Expand (-4*o + 2*o + 0*o)*(-o - 2 - 2*o - 5*o)*(0 + 1 + 0). 16*o**2 + 4*o Expand -1 + 1 - 2*l - l + 0*l + 3*l + 1 - 2*l - 1 + (-1 - 1 + 3)*(0 + 0 - 2*l) + (4 + 0 - 3)*(l - l + l). -3*l Expand (-s + 0*s - s)*(2 + 9*s**3 - 4 + 2*s**3) + 2*s**4 + 0*s**4 - 3*s**4. -23*s**4 + 4*s Expand (-2*u**2 + u - u)*(-47*u + 26*u - 66*u). 174*u**3 Expand (8 + 24*q**3 - 8)*(2*q + 0*q - q). 24*q**4 Expand (4*b + 0*b - 2*b)*(-5 - 1 + 5)*(-2 - 9 - 3). 28*b Expand (-2 + 4 + 0)*(-1 + 1 - 1)*(24*t - 24*t + 22*t**3). -44*t**3 Expand (15*v**2 - 24 + 24)*(0 + 3*v**2 + 0). 45*v**4 Expand (2*u - 2 + 2)*(-2 - 8*u + 2*u + 0). -12*u**2 - 4*u Expand (12*n - 5 + 5)*(3 - 4 + 3)*(0 - 2 + 4)*(-1 + 1 - 1). -48*n Expand (-2 + d + 2)*(-d - 2 + 2 + (2*d + 2*d - d)*(-2 + 0 - 1)). -10*d**2 Expand ((0*l - 2*l + l)*(1 + 4 - 4) + 2*l - 3*l - 3*l)*(l**2 + 2*l**4 - l**2) - 3*l**5 + l**4 - l**4. -13*l**5 Expand (3*d**2 - 5*d**2 + d**2)*(-5 - 8*d + 5). 8*d**3 Expand (0*n + 0*n + n)*(-2*n**2 + 4*n**2 + n**2)*(-3*n**2 - 4 + 4). -9*n**5 Expand (-2*t**2 + 4*t - 4*t)*(99*t**3 + 64*t**3 - 44*t**3). -238*t**5 Expand 2*c**4 - 5*c**4 - 3*c**4 + (-3*c**2 - 2*c**3 + 3*c**2)*(3 - 3 + c). -8*c**4 Expand (-4 + 7 - 2)*(11 - 11 - 3*n)*(-4*n + n + 5*n). -6*n**2 Expand (7*l - 4 + 4)*(-l**2 - l**2 + 3 - 2). -14*l**3 + 7*l Expand -2*n**2 + 0*n**2 + 0*n**2 + 2*n - 2*n - 2*n**2 + (-n**2 + 3*n**2 - 3*n**2)*(2 - 2 - 1). -3*n**2 Expand (5 - 5 - 6*w**2)*(-3*w**3 + w**3 + 0*w**3) + (-2*w**2 - 4*w + 4*w)*(-w**3 + 3*w - 3*w). 14*w**5 Expand (-5*a - a + 4*a)*(1 + 0 + 3) + a + 3*a + 0*a. -4*a Expand (5*p**4 + 2*p**4 - p**4)*(0 + 17*p - 10*p + 2). 42*p**5 + 12*p**4 Expand 2 - i - 2 + (-1 + 0 + 3)*(0*i + i + i) + 0*i + 0*i + 2*i - 1 + i + 1 - 2*i + 2*i - i - 3*i + 0 + 0 + 4*i - 4*i - 8*i. -6*i Expand -2*y**5 + 3*y**3 - 3*y**3 + (-2*y**3 + 5*y**3 - y**3)*(6*y**2 - 4*y**2 + 0*y**2) - y**2 + y**5 + y**2 + 0*y**5 + 6*y**5 - 2*y**5. 7*y**5 Expand (1 - j - 2 + 2)*(-6 + 5 - 9) + 2*j + 10*j - 5*j. 17*j - 10 Expand (0 - r + 0)*(-8 - 5 + 5) + 2*r - 2*r + 2*r + 4*r - r - 2*r. 11*r Expand (-3 + 3 + 3*l)*(5*l**2 - 3*l**2 - 4*l**2) + l**3 + 3*l**2 - 3*l**2. -5*l**3 Expand (-8*j**3 - j**3 + j**3)*(2*j - 3*j - 3*j). 32*j**4 Expand (19 + 9*i**2 - 19)*(0*i + 2*i - 4*i). -18*i**3 Expand (3*u**2 + 0*u**2 - 2*u**2)*(1 - 1 - 2)*(-9*u**2 + u**2 + 4*u**2). 8*u**4 Expand 9*s**4 - 2*s**4 - 2*s**4 + (2*s**3 - s**3 + s**3 + (-2*s**2 + 5*s - 5*s)*(-s - 4*s + 4*s))*(-6*s + 0*s + 4*s). -3*s**4 Expand (0 - 4 + 1)*(8*d**2 + 2*d**3 + 0*d**3 - d**2). -6*d**3 - 21*d**2 Expand (2*k**2 + k**2 + 2*k**2 + (0*k**2 - k**2 + 3*k**2)*(1 + 1 - 4) - 2*k**2 + 3*k**2 + k**2)*(-2*k**3 + 2*k**3 + k**3) + 0*k**5 + 6*k**5 - 4*k**5. 5*k**5 Expand (-3*r + 2*r + 3*r)*(3*r**2 - r**2 + 0*r**2)*(-2*r**2 + 0*r**2 + 3*r**2). 4*r**5 Expand (3*z - 3*z - z**2)*(-15*z + 5*z + 9*z). z**3 Expand (-3 - 2 + 8 - 2*a)*(-2*a**3 + 2*a**3 + a**3). -2*a**4 + 3*a**3 Expand (-2*c + c + 0*c)*(-c**2 - 4*c**2 + 27*c**2). -22*c**3 Expand -7*o**5 + o**4 - o**4 + (-2*o**4 - 4*o**4 + 5*o**4)*(-3*o + o + 0*o). -5*o**5 Expand (0 - 2 - 3*p**2 + 5*p**2)*(-7 + 7 - 4*p). -8*p**3 + 8*p Expand 3*f**2 - 3*f**2 + f**2 + (4*f - 4*f + 3*f)*(0*f + 2*f - 3*f). -2*f**2 Expand (-3*u + u - u)*(7 + 11 - 5). -39*u Expand (10 + 10 - 12)*(0 - a + 0 + (2*a - a - 2*a)*(1 + 4 - 4) - 3*a + a + a). -24*a Expand (-n**3 - 4*n**2 + 4*n**2)*(0 - 2 + 1)*(-1 - 10 + 1). -10*n**3 Expand (-5 + 1 + 2)*((0 + 0 - 4)*(-5*l + 5*l - l) - 4 + 4 - 3*l). -2*l Expand (1 - 2 + 6*j**3 - 7*j**3)*(0*j + j - 2*j + (-3 + 3 - 2*j)*(-3 + 2 + 0)). -j**4 - j Expand (-2*g - 1 + 0*g + 0*g)*(2*g**2 - 4 + 4 + 0 + g**2 + 0 + (0*g - 2*g + 0*g)*(1 + 2*g - 1) + 5*g**2 - 6*g**2 + 3*g**2). -2*g**3 - g**2 Expand -i**2 + 2*i**2 - 3*i**2 + 2*i**2 - 3*i**2 + 2*i**2 + (-5 + 5 - 2)*(2*i - i**2 - 2*i) + 2*i**2 - 4*i**2 + 4*i**2. 3*i**2 Expand d + 3*d**2 + 1 - 1 + (d - 2*d + 2*d)*(3*d - d - d) + (5*d - 3*d - 4*d)*(2*d + 3*d - 6*d). 6*d**2 + d Expand (5 - 5 + z + 3)*(2 - 3 - 4*z + 0). -4*z**2 - 13*z - 3 Expand (14 + 0 - 1)*(n - 4*n + n). -26*n Expand (-73 - 49 + 159)*((2*w + 0*w + 0*w)*(-1 + 5 - 2) + 3*w + 3*w - 4*w + 0*w + 2*w - 4*w). 148*w Expand (8*c + 3*c + 5*c)*(-3*c + 3*c + c**2). 16*c**3 Expand (1 - 1 - 2*y)*(-2*y - y + 2*y) - y**2 + y**2 - y**2. y**2 Expand (3*v + 0 + 0)*(-10 + 4*v + 10). 12*v**2 Expand (-2 - 5 + 4)*(4*l - 4 + 3 + 2). -12*l - 3 Expand (3*d + d - 2*d)*(-4 - 2*d + 4) + 0*d**2 - 3*d**2 + d**2 + (-2*d + 0*d + 0*d)*(3 - 5 + 1)*(3 + d - d + 2*d). -2*d**2 + 6*d Expand (-v**2 + v**2 - 2*v**3)*(51 - 99 + 61)*(0 - 1 + 0). 26*v**3 Expand (4 + 4 + u - 2)*(4 - 4 + 3). 3*u + 18 Expand (-8*j**3 - 6*j**4 + 8*j**3)*(-3*j + 6*j - j) + 2*j**5 + 2*j**5 + 0*j**5. -8*j**5 Expand (f - 4*f**4 - 2*f + 2*f**4)*(-f - 3*f + f). 6*f**5 + 3*f**2 Expand (-r + 5*r - 2*r)*(-8*r - 3*r + 2*r). -18*r**2 Expand (l**2 - l**2 + 2*l**3)*(2*l**2 + 2*l**2 - 6*l**2) + 4*l**5 - l**5 - l**5 - 2*l**5 + 0*l**5 + 5*l**5. l**5 Expand (-2 + 2 - q)*(2 + 0 - 3) + q + 2*q - 5*q. -q Expand (-3 + 0 + 4)*(5*u**2 - 4*u**2 - 4*u**2)*(-3*u + 4*u - 3*u) + (-7 + 1 + 1)*(-3*u**3 + 2*u**3 - u**3). 16*u**3 Expand (12*z**2 + 15*z**2 - 11*z**2)*(-z - 2*z**2 + 1 - 1). -32*z**4 - 16*z**3 Expand (2*a**3 + 3*a**3 - 4*a**3)*((2 + a - 2)*(-3 + 0 + 5) - 4*a - 2*a + 2*a). -2*a**4 Expand (-2*c + 2 - 2)*(11*c**2 - 3*c - 25*c**2 + 12*c**2). 4*c**3 + 6*c**2 Expand (-2*o + 5*o - o + (2 - 4 + 1)*(-77 + 77 + 10*o))*(o**4 + 0*o + 0*o). -8*o**5 Expand (g + 3*g - 2*g + (3 + 2 - 3)*(g - 5*g + 3*g) + 3*g + 2*g - 4*g)*(-g**3 + 0*g**3 - 5*g**3). -6*g**4 Expand (26*d + 44*d - 95*d)*(-1 + 1 + 2*d). -50*d**2 Expand ((-2 + 5 - 2)*(-v + v + 2*v) - 5*v + 2*v + 2*v - 4*v + 2*v + 0*v)*(13*v - 63 + 63)*(-2*v**2 - 3 + 3). 26*v**4 Expand (y - 7*y + 4*y - 2*y + y + 2*y + (-5 + 2 + 4)*(-3*y - 2*y + 4*y) + 0*y + y - 3*y - 3*y + 4*y - 2*y + y - 3*y + 4*y)*(-1 + 1 + 3). -9*y Expand -1 + 1 - 2*k**4 + (-k**4 - 2*k**4 + 4*k**4)*(11 + 19 - 2). 26*k**4 Expand (-1 - 2 + 0)*(-4 + 4 + o) + 2 - 2*o - 2 + (1 - 4 + 2)*(2*o - 2*o + 2*o) + 0*o - o + 0*o + 3*o - 2*o - 3*o - 2*o + 1 - 1. -12*o Expand 0*c**3 - 2*c**3 + 4*c**3 + (3*c + 2 - 2)*(-4*c**2 + 5*c**2 + 0*c**2) + 0*c**3 + 3*c**3 - 2*c**3 - c**3 - 4*c**3 + 2*c**3. 3*c**3 Expand (-3 + 4 - 3)*(-14*z - 47 + 47)*(0 + 0 - 2). -56*z
{ "pile_set_name": "DM Mathematics" }
. -2*sqrt(13)/25 Simplify (((-4*sqrt(77)*-3 + sqrt(77) + sqrt(77))*-1)/((-6*-4*sqrt(66))/sqrt(6)))**2. 343/144 Simplify ((-3*(-1 + -2*sqrt(1300)))**2 + -3)*-6. -280836 - 2160*sqrt(13) Simplify (-3*(sqrt(171) + (-1*sqrt(171) - sqrt(171))) + (sqrt(171)*-2 - sqrt(171))*-1)/(4*(sqrt(9) + sqrt(45)/(2*sqrt(5) - sqrt(5)))). 3*sqrt(19)/4 Simplify (sqrt(99)*-1*-5)/(sqrt(99)/(sqrt(99) - sqrt(11)))*3. 30*sqrt(11) Simplify 0 + 3 + (2*(sqrt(11) + -2) - (-1 + sqrt(44)))**2. 12 Simplify sqrt(17) + (sqrt(17) - (sqrt(17) + 0))*-2 + (sqrt(17) - -5*sqrt(68)/sqrt(4)) - (sqrt(85) - ((-3*2*sqrt(85) - sqrt(85)) + sqrt(85)))/sqrt(5). 0 Simplify -1 + (-2 + (sqrt(75) - (-2*sqrt(75)*2 - sqrt(75))) - (-1 + sqrt(75) + sqrt(75) + -3 - -3*(sqrt(75) + 0)))**2. 20*sqrt(3) + 78 Simplify (sqrt(170) + 4*-1*sqrt(170))/(1*sqrt(360)) + 1. -sqrt(17)/2 + 1 Simplify 2 + (sqrt(400)*2)/(sqrt(512) - sqrt(32) - sqrt(32) - sqrt(2)). 2 + 20*sqrt(2)/7 Simplify 3*(sqrt(5808) - (2*sqrt(5808) + sqrt(5808))) + sqrt(288)/(4*(3*sqrt(6) + sqrt(6))). -1055*sqrt(3)/4 Simplify 1*(-1 + 1*(sqrt(6292) + 0) + -5)**2. -264*sqrt(13) + 6328 Simplify ((sqrt(99) + 4 + sqrt(99) + 3 - (2*sqrt(99) + 0)) + -3)**2. 16 Simplify (-3*-1*sqrt(1053) + sqrt(1053)*1*-5)**2 + (sqrt(1053) - ((-5 + sqrt(1053) + -1 - sqrt(1053))**2 + sqrt(1053))) + 1 + (sqrt(1053) - (sqrt(1053) + 1)). 4176 Simplify ((sqrt(108)/sqrt(4) - (3 + -3*sqrt(3))) + sqrt(15)/(sqrt(55)/(sqrt(22)/sqrt(2))))**2. -42*sqrt(3) + 156 Simplify -3*((-5*sqrt(66))/sqrt(2) - sqrt(33))/(sqrt(3) - (1*sqrt(108) + sqrt(3))). -3*sqrt(11) Simplify 4*((sqrt(304) - (-3 + 0 + sqrt(304))) + (-5*(-2 + sqrt(304)))**2). -1600*sqrt(19) + 30812 Simplify (4 + (2 + (sqrt(304) + (sqrt(304) - (sqrt(304) + -1 + sqrt(304))) - sqrt(304)) - (0 + -2*sqrt(304)))**2)*-6. -1902 - 144*sqrt(19) Simplify (4*sqrt(168) - sqrt(420)/(sqrt(30)/sqrt(3)))/(-3*2*sqrt(6) + (sqrt(6) - (sqrt(270)/sqrt(5))/sqrt(9))). -7*sqrt(7)/6 Simplify -3 + (-1*sqrt(832) + sqrt(832))*-4 + 1*(2 + sqrt(832) + -1 + sqrt(832))**2. 32*sqrt(13) + 3326 Simplify 1*(sqrt(2736) - (sqrt(2736) + 3*(-4 + sqrt(2736))) - (sqrt(76) + 3*1*sqrt(76))/sqrt(4)). -40*sqrt(19) + 12 Simplify ((-2*sqrt(84)*-1)/sqrt(12))**2 + (sqrt(7) - sqrt(28)*-4)**2 + sqrt(63)*-2. -6*sqrt(7) + 595 Simplify -3*sqrt(3)*-3 + 4 - (-2 + sqrt(3)*1 - 1*sqrt(3)*-3)**2. -48 + 25*sqrt(3) Simplify (2 + (sqrt(1377)*-1)**2)*-5 + 4 + 2 + sqrt(1377) + 1. -6888 + 9*sqrt(17) Simplify ((sqrt(110) + sqrt(110)*4)*2)/(sqrt(110)/sqrt(539)) + -1. -1 + 70*sqrt(11) Simplify (sqrt(80)/(-2*sqrt(5)*-1))/((sqrt(8) + -5*sqrt(32))*5). -sqrt(2)/90 Simplify ((sqrt(190) - sqrt(190)*2)*-3)/(sqrt(10) + sqrt(20)/(sqrt(2)*-3) + sqrt(10)). 9*sqrt(19)/5 Simplify -4 + (-3*-2*sqrt(110) + -5*(sqrt(110) + sqrt(110)*-1))/((sqrt(360) - (1*sqrt(360) - sqrt(360)))*-3). -4 - sqrt(11)/3 Simplify ((sqrt(1215) - sqrt(1215)*2)*-2)/(sqrt(125)*-1*-2). 9*sqrt(3)/5 Simplify (sqrt(1408)*1 + sqrt(22))/(sqrt(72)*2). 3*sqrt(11)/4 Simplify 1 + sqrt(20)*-1*-1 + (sqrt(60) - 1*sqrt(60)*1)/(sqrt(300)*2). 1 + 2*sqrt(5) Simplify (-2 + 4 + (-1 + sqrt(272))*4)**2. -64*sqrt(17) + 4356 Simplify 2*-4*((sqrt(76) + (sqrt(76) - (sqrt(76) + 2*(sqrt(76) - (-1*sqrt(76) - sqrt(76))))))/sqrt(4) - -4*(sqrt(19) - sqrt(38)/sqrt(2))*-5). 40*sqrt(19) Simplify 5*((1*sqrt(84)*2)/(sqrt(84)/(sqrt(7)*1)) + 0). 10*sqrt(7) Simplify -3*((-2*sqrt(2304) - sqrt(2304))/(sqrt(972) - sqrt(972)*-2))**2. -64/9 Simplify (-1*sqrt(52))**2 + (sqrt(13) - sqrt(78)/(sqrt(6)*-2)) + -1. 3*sqrt(13)/2 + 51 Simplify sqrt(288) + 1*sqrt(288) + 4 + (sqrt(288) - 2*sqrt(288)) + 3 + ((-2 + sqrt(288))*-4 - sqrt(288))*5. -288*sqrt(2) + 47 Simplify sqrt(25)/sqrt(5)*1 + ((sqrt(5) + 2 - sqrt(5))*-3)**2 + ((sqrt(720) - (sqrt(720) - sqrt(720)*-2))**2 - (sqrt(5) + 1*sqrt(80))) + -4. -4*sqrt(5) + 2912 Simplify (sqrt(245) + (sqrt(245)*1 - sqrt(245)) + -5 + sqrt(245))**2 + sqrt(245) + (sqrt(245) - (sqrt(245)*-2)**2) + -5 + -4. -126*sqrt(5) + 16 Simplify 5*(2 + (3*(sqrt(448) + 2))**2 + -3 + 1). 1440*sqrt(7) + 20340 Simplify sqrt(91)/(sqrt(7)*-3 - sqrt(7)) - (sqrt(234)/sqrt(2) - sqrt(13)) - -3*-4*(sqrt(325)*-2)**2. -15600 - 9*sqrt(13)/4 Simplify ((-3*sqrt(1872) + -2 - (1 + sqrt(1872) + sqrt(1872) + -1 + sqrt(1872))) + 0 + 5)**2. -432*sqrt(13) + 67401 Simplify ((sqrt(108) + -1)*3)**2 - sqrt(108) - (3 + sqrt(108) + 0). -120*sqrt(3) + 978 Simplify ((sqrt(180) - (sqrt(180) + sqrt(180) + -4*sqrt(180)*-4 + sqrt(180) + sqrt(180) + sqrt(180))) + (sqrt(180)*-1 + -2 - sqrt(180)) + sqrt(180))**2. 504*sqrt(5) + 79384 Simplify ((2 + sqrt(325) + -1 + 0 + sqrt(325) + -1)*3)**2 + 1. 11701 Simplify -1*(sqrt(275) - (sqrt(275) - (-1 + sqrt(275)))) - (2*sqrt(891)*-2)**2. -14255 - 5*sqrt(11) Simplify 5*(-4 + (-3*((sqrt(147) + -1)*2 - sqrt(147)))**2). -1260*sqrt(3) + 6775 Simplify (5*-2*sqrt(500) + 2*(sqrt(500) - (-1 + sqrt(500) - sqrt(500))) + 3 + -1 + sqrt(500) + -2*(sqrt(500) + sqrt(500)*2 + sqrt(500)))**2. -1200*sqrt(5) + 112516 Simplify ((-2 + sqrt(99))*6 + sqrt(99) + (sqrt(99) + -2 + -3 - sqrt(99)))**2. -714*sqrt(11) + 5140 Simplify ((sqrt(133)*2*-2 + sqrt(133))*2)/(-6*sqrt(28) + (sqrt(847)*2 + sqrt(847) - sqrt(7))). -3*sqrt(19)/10 Simplify ((5 + ((sqrt(132) - (sqrt(132) + (sqrt(132) - (2*sqrt(132) - sqrt(132)) - sqrt(132)) + sqrt(132)))*-5 - sqrt(132))/(sqrt(768)*1) + -5)*2)**2. 11/16 Simplify (sqrt(250)/(sqrt(135)/sqrt(3)) + 5 + -5)**2. 50/9 Simplify ((sqrt(117) - sqrt(117)*-2)*1)/(sqrt(1296)*-1) + (-1 + sqrt(208))*1 + 4. 3 + 15*sqrt(13)/4 Simplify 4 + 5*(((0 + sqrt(612))**2 - sqrt(612)) + -3) + 0. -30*sqrt(17) + 3049 Simplify (sqrt(104) + sqrt(104) + 6*2*sqrt(104) + sqrt(104))/(2*sqrt(288)) + (-2 + (-1*sqrt(234))/sqrt(2))**2. 53*sqrt(13)/4 + 121 Simplify 1 + ((5 + (sqrt(1088)*2 - sqrt(1088)))*-5)**2. 2000*sqrt(17) + 27826 Simplify ((-2 + sqrt(2299) - sqrt(2299))*5 - sqrt(2299))**2 + sqrt(2299) + -1*sqrt(2299)*1 - (-1*((sqrt(2299) - (3 + sqrt(2299))) + 4))**2. 220*sqrt(19) + 2398 Simplify -5 + 6*-2*sqrt(48) + (1*sqrt(5808))**2 + sqrt(5808). -4*sqrt(3) + 5803 Simplify ((4*(sqrt(147) + sqrt(147) + -4) + -1)*-3)**2*-1. -87273 + 17136*sqrt(3) Simplify (-4*(-4*(sqrt(190) + sqrt(190)*-1) - sqrt(190)))/(sqrt(30)/((sqrt(27)*-1)/sqrt(9))). -4*sqrt(19) Simplify (2*1*sqrt(448))/(sqrt(40)/(-1*sqrt(10)) + sqrt(4) - sqrt(20)/sqrt(20)). -16*sqrt(7) Simplify sqrt(180) + (-2*sqrt(180)*2)**2 + 4 - (-2 + (sqrt(180) - (sqrt(180)*-3)**2)*4). -18*sqrt(5) + 9366 Simplify (4 + (2*sqrt(49)*3)/sqrt(7))**2 + 2. 48*sqrt(7) + 270 Simplify sqrt(56)/(2*sqrt(288)) - (sqrt(112)/sqrt(4)*6)**2. -1008 + sqrt(7)/12 Simplify ((sqrt(720) + 3 + sqrt(720) + 4)**2 - (-1 + (sqrt(720) - (sqrt(720)*-2 + sqrt(720)))))*4. 1248*sqrt(5) + 11720 Simplify (sqrt(152) + (sqrt(152) - 1*(sqrt(152) + sqrt(152)*1 + sqrt(152))))/(-1*sqrt(56)/sqrt(7)). sqrt(19) Simplify (sqrt(65) - -6*(sqrt(65) - sqrt(65)*-1) - sqrt(65) - (sqrt(65) + ((sqrt(65)*1 - sqrt(65))*-2 - sqrt(65))))/((-4*sqrt(160))/sqrt(2)). -3*sqrt(13)/4 Simplify ((-1*2*sqrt(25))/(sqrt(5) + sqrt(5) + ((sqrt(10)*2)/sqrt(2) - sqrt(5))) + -1)**2. 4*sqrt(5)/3 + 29/9 Simplify -5 + (-2*sqrt(2448)*-6 - (0 + sqrt(2448)*1)**2)*6. -14693 + 864*sqrt(17) Simplify (1 + sqrt(931) + 0 + sqrt(931) + -3)**2 - ((-1 + sqrt(1216))**2 - 1*sqrt(2736)). -28*sqrt(19) + 2511 Simplify 1*sqrt(72)/sqrt(4) - -1*((sqrt(2) - sqrt(98)*-6) + sqrt(2))**2. 3*sqrt(2) + 3872 Simplify (sqrt(66) - -1*sqrt(66)*3)/(sqrt(6) + (sqrt(6) - 1*sqrt(96))). -2*sqrt(11) Simplify 4 + (sqrt(68)*-2 + (sqrt(34)*-1)/sqrt(2) + sqrt(17) - 6*(sqrt(272)*-2)**2). -6524 - 4*sqrt(17) Simplify -3*((-2 + sqrt(1900))**2 + (sqrt(19) - sqrt(76)/sqrt(4)) + 5). -5727 + 120*sqrt(19) Simplify (-4*1*(sqrt(425) + -1) + 5)**2*6*-2. -82572 + 4320*sqrt(17) Simplify ((sqrt(143) - -2*sqrt(143))/sqrt(11) + (sqrt(13)*2 + sqrt(13))*3)**2 - (sqrt(78) + 5*(sqrt(78)*-3 - sqrt(78)) + sqrt(78))/sqrt(6). 18*sqrt(13) + 1872 Simplify (-1 + (sqrt(180)*-2 + 4)**2 + 4)*3. -288*sqrt(5) + 2217 Simplify (sqrt(133) - (sqrt(133) + 5*-1*sqrt(133)) - (sqrt(133) + (sqrt(133)*2 - sqrt(133)))*4)/(sqrt(175)*2 - (sqrt(7) + (sqrt(70)/sqrt(40) - sqrt(7)))). -6*sqrt(19)/19 Simplify (-1*(sqrt(125) + sqrt(125)*4 - sqrt(125)))**2 + 3 + 4. 2007 Simplify (4*-2*sqrt(98)*6*2)**2. 903168 Simplify 2 + -3 + 5*((sqrt(13) - ((-1 + sqrt(13) - sqrt(13)) + sqrt(13)))*5 + 1*sqrt(117)). 24 + 15*sqrt(13) Simplify ((sq
{ "pile_set_name": "DM Mathematics" }
*x - 15. Does 5 divide u? True Let c be (-128)/96*(-54)/4. Let z(q) = 5*q - 21. Is 16 a factor of z(c)? False Suppose 51*f + 10 = 53*f. Suppose -26 = -f*z - 1. Suppose -j + 3*j = 2*p - 268, -2*p - z*j = -261. Is 19 a factor of p? True Suppose t + 0*t = -4, 0 = -5*s - 4*t + 74. Let j = 130 + -130. Suppose j = 24*h - s*h - 876. Is h a multiple of 46? False Let k(o) = -o**3 - 4*o + 2*o**3 - 8 + 6*o + 6*o**2 + 2*o. Let w be k(-4). Suppose -3*m + 20 = 4*y - 334, 4*m = -w. Is 18 a factor of y? True Suppose -2*z - 3*t + 3114 = 0, 2*z - 16*t - 3124 = -14*t. Is 12 a factor of -78 + 81 + 0 + z? False Let x(i) = -2 - 10*i - 4*i + 6*i - 4*i. Let t be x(-6). Suppose 3*d = -4*c + 332, 0 = 2*d + c + t - 298. Does 8 divide d? False Suppose 0 = z + 6*z - 35. Suppose 0 = 2*i - 61 - z. Let o = i - -6. Is 13 a factor of o? True Let m = 23661 + -16042. Is 20 a factor of m? False Is (-5113350)/594*(-18)/10 a multiple of 46? False Let z(l) = l**3 + 8*l**2 + 10*l + 8. Let t be z(-6). Suppose -23*n = -19*n - t. Suppose n*g + 131 + 261 = 3*p, -5*g = 20. Is 8 a factor of p? False Let r(d) = -d**2 + 15*d + 2. Let q be r(-17). Let f = q - -1190. Is f a multiple of 81? True Suppose 11*t = -10*t - 4*t + 509850. Does 22 divide t? True Let c(w) = w**3 + 8*w**2 + 12*w + 2. Let f be c(-6). Is (26 - 21) + (f - -375) a multiple of 57? False Suppose -54 = -y - 2*d - 14, -y + 2*d = -40. Suppose y*g - 38*g = 1536. Does 48 divide g? True Let g = -9181 - -12135. Is g a multiple of 23? False Let x = 326 - 324. Is 5325/4 - 6/48*x a multiple of 11? True Let b(c) = c**3 + 12*c**2 - 33*c - 30. Let k be b(-14). Suppose 17*h - 15*h - k = 0. Is h a multiple of 20? True Let a be (-27)/(-18) + 925/10. Does 17 divide (a/(-3))/((-11557)/(-1053) + -11)? False Suppose 7*v = 26*v + 114. Is 21 a factor of (88/v)/(-2)*(-27)/(-1)? False Let i(c) = 24*c**2 + 11*c - 273. Does 31 divide i(-29)? True Let l be -3*(-280)/21*1. Is (14 + 22)*1/(2/l) a multiple of 90? True Let r(g) = 2*g**2 - 10*g - 18. Let m(v) = 3*v**2 - 13*v - 15. Let n be m(6). Is 11 a factor of r(n)? False Suppose -2*g = 4*s - 440, 2*s - 5*g = -4*g + 224. Suppose -r - 45 = -s. Is r a multiple of 3? True Let f(s) = -34*s**3 - 2*s**2 - 26*s + 13. Is f(-4) a multiple of 21? False Let k be (-39)/13 + (-5)/(-1). Let w(s) = -24*s + 2 - 4 + 17*s - 16*s - s**k. Does 22 divide w(-18)? True Is 98 a factor of (-2)/(-12) - (-2432952)/432? False Suppose 0 = 2*f - 12, 73260 + 31730 = 4*y - 5*f. Is y a multiple of 8? False Let d(l) = -l**2 - 35*l + 28. Let x = 36 + -59. Is d(x) a multiple of 38? True Let y(m) = -m**2 - 6*m - 5. Let g be y(-3). Suppose 0 = 5*f + x - 45, -31 = -4*f - g*x + 5. Suppose 4*k = f*k - 210. Is k a multiple of 15? False Let x be 5/6 - (-23849)/(-42). Let q = -147 - x. Is q a multiple of 10? True Is 13 a factor of (18 - (-13424)/(-12))/(3/(-99))? True Let r = 72 + -29. Let o = 47 - r. Suppose 3*u - o*q + q = 300, -509 = -5*u - 4*q. Does 14 divide u? False Suppose -3*u + 12 = 12. Suppose -4*b = -5*y + 15, b + 0*b = u. Suppose 12*x - 405 = y*x. Does 15 divide x? True Let y = -6818 + 13250. Suppose 387 = -15*m + y. Is 31 a factor of m? True Suppose 3 = -3*w, 2*s = 75*w - 77*w + 11898. Is s a multiple of 50? True Suppose 8*q = -56 + 144. Is (q/(-2))/(8 + 6633/(-828)) a multiple of 7? False Let m = -8302 - -10072. Does 15 divide m? True Suppose 13*t - 12*t = 7*t - 2730. Is t a multiple of 2? False Let x(a) = a**2 - 10*a + 20. Let v be x(11). Suppose -18*i + v*i - 8918 = 0. Does 20 divide i? False Let z = 50 - 40. Is ((-37)/(-5) - 7) + 2766/z a multiple of 15? False Let o(x) be the third derivative of 0*x + 7/8*x**4 - 5/6*x**3 + 0 - 45*x**2. Is 10 a factor of o(5)? True Let n be 70/28*(2 - -4*2). Suppose -36*m + n*m + 880 = 0. Is 10 a factor of m? True Suppose 0 = 1181*w - 1167*w - 46830. Is w a multiple of 15? True Suppose -5*u + 201304 = 3*j + 15107, 0 = -4*u - 5*j + 148955. Is u a multiple of 14? True Suppose -4*m + 3*u - 69 + 4 = 0, 0 = m - 3*u + 14. Let b(q) = -q**2 - 24*q - 1. Let d be b(m). Suppose 5*g = 4*g + d. Does 21 divide g? False Let g be (-380)/(-14) - 3/21. Is 48 a factor of (3/(g/(-5067)))/(-1)? False Suppose 1 = z - 2. Let n(l) = l - l**z + 5*l**2 + 59 + 14*l**2 - 8 - 20*l**2. Does 13 divide n(0)? False Does 25 divide ((-221)/34)/((-1)/1008)? False Let g = 452 + -236. Let d = 897 - 895. Suppose k + k + s - g = 0, d*k + 3*s = 216. Does 9 divide k? True Suppose 400 = q - 5*q. Let n be 5/(q/1816) - (-2)/(-10). Let i = 155 + n. Is 16 a factor of i? True Suppose -n - 4*j + 171 = 0, 5*n - 884 = 3*j + 40. Let k = n + -149. Is 12 a factor of k? False Let b be 268/(-6) + 5/(-15). Let w be (-243)/b + (-2)/5. Suppose -5*a - 815 = -w*q, -4*q + 2*q + 328 = -a. Does 15 divide q? True Let w = 9 - 10. Let y be 11 + (w - -1)/(-2). Does 10 divide y - (15/(-5) - 0)? False Let o be 5/(30/4)*(-231)/22. Let i = -13 - o. Let y = 119 + i. Does 22 divide y? False Let p be (88/14 - 8)*(-2443)/2. Suppose -4*n + 3*u + p = 8*u, -4*u = -3*n + 1586. Let z = n - 350. Is 44 a factor of z? True Let y be 0/((-2)/6 - (-35)/15). Suppose y*g = -w + 2*g + 4, 4*w - 3*g = 11. Does 5 divide w + -4 + 4 + 3? True Let c(s) = -s**3 + 19*s**2 - 17*s - 3. Let m be c(18). Suppose -m*j = -11*j - 156. Is 8 a factor of 0 - (-13)/(j/504)? True Suppose 3*m - 126 = -m + 3*q, 98 = 3*m - 4*q. Let v = m + 31. Let i = 108 - v. Is i a multiple of 6? False Suppose 61*w - 4 = 59*w. Suppose -k - b = -293, -w*k + 4*b - 212 = -792. Is k a multiple of 25? False Suppose 582 = -4*v + v - 3*w, -2*v = -4*w + 358. Is 17 a factor of 14/v + (-127257)/(-81)? False Let x(k) = 70*k - 7. Let o = 14 - 12. Let r be x(o). Does 9 divide (r - -1)*((-3)/(-2) - 1)? False Suppose -555 = -10*f - 105. Suppose -f*l = -46*l + 85. Does 4 divide l? False Does 33 divide 94 + -94 + 5940 + 0? True Let h(n) = 23*n**3 - n**2 - 1. Let t be h(2). Let w = t - 118. Is 8 a factor of w? False Suppose 2*g + 1 = s, 6 - 4 = 4*g + 2*s. Let l be 2/(-7) - 37/(-7). Suppose g*q = l*q - 340. Is 21 a factor of q? False Let o = 160 - 153. Suppose -3*k - 4*f + 1964 = 0, 5*k + 2*f = o*k - 1314. Is 16 a factor of k? True Let q be ((-2)/(8/10))/((-10)/60). Suppose -q*j = -3627 - 4473. Does 18 divide j? True Suppose 0 = -17*b + 24 + 61. Let s(r) = 2*r**2 - 4*r + 8. Let d(a) = a**2 - 4*a + 9. Let c(v) = -3*d(v) + 2*s(v). Does 23 divide c(b)? False Let s(g) be the first derivative of g**4/4 - 2*g**3/3 - 5*g**2/2 + 14*g + 1. Suppose -52*d - 497 = -809. Is s(d) a multiple of 25? False Let h = 2020 - 832. Is 9 a factor of h? True Suppose 129*v - 85*v = 75460. Does 13 divide v? False Suppose 0 = -2*d + 5*d. Suppose -3*q + 5*j + 5 = d, 8 = -4*j + 8*j. Suppose 632 = 6*h - 2*h + 2*c, 816 = q*h - 4*c. Is h a multiple of 15? False Let j(f) = -f**3 - 55*f**2 - 66*f + 447. Is 27 a factor of j(-55)? True Suppose 489 = -5*r - 351. Let w be 4 + r/4 - 0. Does 5 divide (16 - 15)/((-2)/w)? False Let z(p) = -348*p**2 - 3*p + 3. Let m(t) = 696*t**2 + 5*t - 5. Let r(j) = 3*m(j) + 5*z(j). Does 29 divide r(-1)? True Suppose -37*y + 45 = -32*y. Suppose 2*a - 7 = y. Suppose -a*c + 4*c = -192. Is c a multiple of 8? True Let s(t) = 20*t**2 - 5. Let g be s(6). Let w = g - 407. Is w a multiple of 77? True Let l = -37 + 73. Suppose -l*c + 4788 = -27*c. Is 19 a factor of c? True Suppose 3*v - 2611 = 5*c - 87543, 5*c - 84998 = -8*v. Is c a multiple of 14? False Let w be ((-2800)/(-6))/((-24)/(-216)). Suppose -11*v + 16*v - w = 0. Does 24 divide v? True Does 14 divide ((-17)/(-4))/((-33)/(-30624)) - 10? True Let c be ((-6)/9)/(4/54 - 0). Let i(y) = -115*y - 94. Is i(c) a multiple of 13? False Let k = 23 - -162. Is 9 a factor of (k/74)/((-1)/(-390))? False Suppose -4*d + 7*s + 24 = 3*s, 4*s + 12 = -2*d. Suppose d*z - 10 = 0, -z - 249 = -2*w + 230. Does 22 divide w? True Let h(u) be the first derivative of -55*u**2/2 + 16*u - 25. Is 57 a factor of h(-8)? True Is (228/(-513))/(6/(-20223)) a multiple of 16? False Suppose -4*t + 24516 = -4*n, -38*t + 5*n = -35*t - 18381. Is 89 a factor of t? False Suppose 11*m + 5*x = 6*m + 5470, 5 = -x. Let j = m - 709. Does 25 divide j? False Suppose -7 = g + 3*u, -5*g - 3*u = -u - 30. Suppose 6 = -3*k - 3*b, -k + 2*k + 4*b + g = 0. Suppose -3*z = -3, k*z + 4*z - 15 = -j. Is 10 a factor of j? False Let o = 1 + -1. Suppose -313*i + 12
{ "pile_set_name": "DM Mathematics" }
3 + 9*s**4 - s - 10*s**4 + 4592 in the form y*s**3 + g*s**4 + w*s + l + j*s**2 and give g. -1 Rearrange 12*x + 226 + 0*x - 12 - 8*x - 8*x to the form h*x + i and give i. 214 Rearrange -65 + 13*r - 55 + 3 + 18 - 8 to u*r + b and give b. -107 Express 34*r + 13*r**3 - 95*r - r**4 + 62*r + 19 in the form s*r + i + h*r**4 + x*r**3 + j*r**2 and give h. -1 Express -192*t - 10*t**2 + 183*t + 9*t**3 + 9*t**2 - 7*t**4 as d*t**2 + s + y*t**4 + m*t + b*t**3 and give m. -9 Rearrange -246*m + 3*m + m**3 + 4*m**4 - 270*m - 6*m**4 to v*m**2 + y*m**3 + g*m + o*m**4 + a and give o. -2 Express (0 - 1 + 2 + (-30 - 34 - 1)*(8 - 7 - 31))*(2*m**4 - m**3 - 3*m**4 + 2*m**2 + 0*m**2) as q + d*m**2 + w*m + h*m**4 + c*m**3 and give d. 3902 Express (-1 + 0 + 0)*(-5*p + 4*p + 0*p)*((37 + 2 - 88)*(0 - 1 + 2)*(-1 + 4 - 5) + 0 - 3 + 2) as a*p + m and give a. 97 Rearrange 19 + 519*n**2 + 2*n + 3*n - 158*n**2 - 244*n**2 - 4*n to q + b*n + l*n**2 and give l. 117 Express ((13*q + 108 - 108)*(0*q**2 + 3*q**2 - q**2) + 5*q - 9*q**3 - 5*q - 6*q**3)*(-52 + 21 - 38) as i*q**3 + m + c*q**2 + u*q and give i. -759 Rearrange 2*l - l - 332*l**3 - 757*l**3 + 1076*l**3 + 7*l**4 - 2*l**2 to p*l**4 + o*l**2 + i*l + n*l**3 + j and give n. -13 Rearrange 2 + 3*n**3 + 563*n**2 + 560*n**2 + 554*n**2 - 1675*n**2 - 6 - n**4 + 5*n to p*n**3 + a + o*n + w*n**2 + f*n**4 and give p. 3 Rearrange (-z + 4*z - 5*z)*(-1 + 1 + 2)*(-13660 + 27189 - 13948) to m + p*z and give p. 1676 Express (-7*n**2 - n**2 - 8*n**2)*(-286*n - 62447 + 62447) in the form v*n**3 + f*n + p*n**2 + m and give v. 4576 Express (1 + 3 - 5)*(-2 - 4 + 3)*(-40862*l - 64 - 73 + 65 + 72) as w*l + h and give w. -122586 Rearrange -2*g**2 - 3 + 120754*g - 120796*g + 2 to n*g + q*g**2 + i and give i. -1 Rearrange (803*m**3 - 37 - 403*m**3 - 414*m**3)*(-232 - m + 121 + 113) to n*m**2 + j + h*m**4 + p*m + u*m**3 and give p. 37 Rearrange (-105 - 7 + 18)*(-5*a + 0*a - 4*a) - 2*a + 4*a - 3*a + (6 - 6 + 4)*(6*a - a - 3*a) to r*a + b and give r. 853 Express (137*b + 163 - 163)*(-b**2 + 2*b**2 + 3 - 2) - 43*b**2 + 5*b**3 + 43*b**2 in the form s*b + h*b**2 + d + t*b**3 and give s. 137 Rearrange -414*s**4 - 2*s**3 + 868*s**4 + 1 + 3*s**2 - 452*s**4 + 2*s to y + k*s**4 + c*s**3 + t*s**2 + w*s and give y. 1 Rearrange 373*h**3 - h**2 + 3 + 484*h**3 + 9*h**3 to t*h**2 + w + b*h + k*h**3 and give w. 3 Rearrange -2*c**3 + 2 - 105*c - 2*c**2 - 102*c + 201*c + 8*c**4 + 5*c**3 to the form w*c**4 + g*c + k*c**2 + f + a*c**3 and give g. -6 Rearrange -63 + 116 - 88*f - 81*f - 51 to the form z*f + n and give n. 2 Express 34 - 65 + 31 + 7496*k**2 as v + r*k**2 + n*k and give r. 7496 Express (22*u + 133*u + 23*u)*(89 + 118 - 107)*(-2*u + u + 0*u) in the form w*u + v*u**2 + b and give v. -17800 Rearrange -35*y**2 + 22*y + 16*y - 264976 + 264976 + 2*y**4 to d + o*y**3 + l*y**4 + u*y**2 + s*y and give s. 38 Express 1094 - 2191 + 1096 - 909*p as b*p + i and give b. -909 Express 2*t**2 + 233220*t**4 - 8*t**3 - 22 + 7*t - 466441*t**4 + 233222*t**4 in the form m*t**3 + n + j*t**4 + q*t**2 + w*t and give j. 1 Rearrange (2 - 2*u - 2)*(0 - 2 + 4)*(-409 + 1216 + 913) to r*u + y and give r. -6880 Express (172*v**2 - 103*v**2 + 161*v**2)*((4 + 1 - 3)*(5 - 3 - 4) - 5 + 4 + 2 - 1 - 1 + 3 - 3 + 0 + 4) as b*v**2 + j*v + z and give b. -230 Rearrange y + 4783 - 4781 + y + 1162*y**3 to the form q*y**3 + a*y + g + t*y**2 and give g. 2 Rearrange -57 - 73 - 90*j + 164 - 68 to c + a*j and give c. -34 Express f + 4*f**3 + f**3 - 3*f**3 + 12*f + 16*f**4 + f in the form a*f**2 + b*f + w*f**3 + c + x*f**4 and give b. 14 Express -19215*l - 24316*l - 3 - 2913*l + 3 as i*l + a and give i. -46444 Rearrange (4*i - 7*i + 2*i)*(-5471 + 9725 - 5391) to the form y*i + a and give y. 1137 Rearrange 88*a**4 + 32*a**4 + 187*a**4 + (a**4 - 1 + 1)*(-4 + 1 + 2) + 6*a**4 - 3*a**2 + 3*a**2 to z*a + r*a**2 + n*a**4 + m*a**3 + g and give n. 312 Express -19507 + 19493 + 5*x**3 + 0*x**4 + x**4 - 2*x**2 + 17*x + x**4 as o*x**4 + q*x + j*x**3 + i + k*x**2 and give q. 17 Rearrange (75 + 137 + 1006)*(0*d + 5*d - 2*d) to the form g*d + a and give g. 3654 Express 246*k**2 - 246*k**2 + 129*k**3 + (1 + 2*k - 1)*(-10*k + 13*k - 8*k)*(3*k - 6*k + 3*k - 3*k) as w*k**2 + t + i*k + l*k**3 and give l. 159 Rearrange 52*r**2 + 45*r**2 + 52*r**2 - 807*r - 200*r**2 + 45*r**2 to b*r + n*r**2 + f and give n. -6 Express -6*j**2 - 3*j**2 - 62584 + 2*j + 61347 + 0*j - 2*j**2 + 0*j + (j - 4 + 4)*(2 - 2 - j) + j**2 - 2*j**2 + 0*j**2 in the form u*j**2 + n + w*j and give w. 2 Express -u**2 - 12*u**4 + 2541*u**3 - 2525*u**3 + 3*u**4 + (-10*u**3 + 0*u**3 + 2*u**3)*(3*u - 11*u - 5*u) as s*u**4 + n + k*u**3 + x*u**2 + o*u and give x. -1 Express 53 + 29*a - 53 + (-66 - 35 - 79)*(0*a + a + 0*a) as q + c*a and give c. -151 Rearrange (2*o - o + 0*o)*(-15*o**3 + 9637 - 7*o**3 - 26249 + 20*o**3) to the form q*o**3 + i*o + a*o**4 + f*o**2 + d and give i. -16612 Express (-14 + 14 + 4*i)*(4*i - 2*i - 4*i) + i**2 - i**2 - 2*i**2 + (13 + 6*i - 13)*(-2*i - i + 2*i) as n + y*i + b*i**2 and give b. -16 Express 5*g - 4*g - 2*g + (-3 + 1 + 0)*(-4*g + 2*g + 3*g) + 1387 - 1834 + 1330 + g in the form j + u*g and give j. 883 Express (0 - 1 - 2)*(16*w**3 + 23895*w - 23890*w + w**2 + 16*w**3) - 8 + 8 - 29*w**3 in the form m*w**3 + x*w**2 + r*w + s and give r. -15 Express (2*q**2 - 5*q**2 + 5*q**2)*(3149 - 1338*q**2 - 1055 - 1047 + q - 1043) as z*q**4 + t + r*q + i*q**3 + c*q**2 and give i. 2 Rearrange -1 + 1 - 2*n - 41*n + 128*n + 50*n + (-3 + 2 - 1)*(-3*n + 5*n + 3*n) to the form q*n + z and give q. 125 Express (9*b + 12*b - 11*b)*(2*b + 15671 - 31305 + 15714) in the form z*b**2 + i + v*b and give v. 800 Express (242*k - 355*k + 176*k)*(-4*k + 5*k + 9 + k) as x + q*k**2 + w*k and give w. 567 Rearrange (1477 - 738 - 736)*(66*a**4 + 173*a**3 - 173*a**3) to x*a + f*a**4 + o + g*a**3 + i*a**2 and give f. 198 Rearrange -c**3 - 1178*c + 2736*c - 1184*c + 4 to g*c**3 + i + k*c**2 + v*c and give g. -1 Express -5589*p + 2543*p + 11628*p as t*p + s and give t. 8582 Rearrange -32*y + 74*y + 100*y + (1 + 1 - 3)*(-2*y + 3*y - 3*y) + 9*y - 73*y + 22*y to the form d*y + l and give l. 0 Express (42*b + 77*b + 67*b)*(3 - 3 + 3*b) + (-1 + 4 + 5)*(0*b + 5*b - 4*b)*(b + b - 4*b) as r*b + n + x*b**2 and give x. 542 Rearrange (4 - 2 - 1)*(244*p**3 + 651*p - 73*p**3 - 651*p) to f*p**2 + c + b*p + w*p**3 and give w. 171 Rearrange (-25 + 25 - 4*t)*(-1 + 1 - 4 + 102 + 68 + 33 + (2 + 0 - 1)*(0 - 2 + 3)) to the form v*t + m and give v. -800 Express -7*k - 63*k**3 - 31*k**3 - k**2 + 6*k as b + h*k + z*k**2 + p*k**3 and give h. -1 Express -270*l**3 - 261*l**3 - 3395569*l + 3395575*l in the form a + x*l**3 + j*l**2 + g*l and give x. -531 Rearrange (-4 + 2 - 2)*(-3*g + 4*g + 0*g)*(58 + 114 - 55) to the form y*g + l and give l. 0 Rearrange -q**2 + 2*q**2 - 1 + 3*q**2 + 3*q**2 + 1 - 8*q**2 + 3*q**2 + (-1 - 1 + 4)*(-2*q - 7*q - 38*q)*(-q + 2*q - 6*q) to h*q + n + w*q**2 and give w. 472 Express 90*v + 18*v**3 - 78*v + 34*v**3 + 2*v**2 - 33*v**4 + 29*v**4 as p*v**4 + x + c*v + k*v**2 + j*v**3 and give c. 12 Rearrange 293925*k**2 - 14*k**3 - k**3 - 293922*k**2 - 36 - 11*k**3 to t + n*k**2 + r*k + y*k**3 and give y. -26 Express (-102*p + 5 + 92*p - 20)*(0 + 1 - 3) as y*p + h and give y. 20 Express 17*o + 5*o**2 + 6*o**3 + 42 - 6*o**2 - 56 + 7 in the form m*o**3 + y*o + b + u*o**2 and give u. -1 Express 3061*z**2 + 2204*z**2 - 1226*z**2 + 990*z**2 + 1643*z**2 as o + u*z + n*z**2 and give n. 6672 Rearrange (-3 + 6 + 1)*(0 - 4 - 22)*(17*a + 9*a - 18*a)*(-3 + 3 + 2) to the form x*a + q and give x. -1664 Rearrange 3 - 740*n**2 + 740*n**2 - n**4 - n**3 + 35*n - 93*n to k*n**2 + x*n**3 + p + f*n + s*n**4 and give p. 3 Express 31 - 258*a - 56 - 219*a + 21 - 929*a as t*a + r and give r. -4 Express 72 + 3*d - 5*d + 14*d**2 + 0*d + 3*d - 4*d**4 - 16*d**2 in the form c*d**3 + s*d + a*d**2 + l + h*d**4 and give h. -4 Express (1875 - 585*a**2 - 1875)*(4 - 3 - 2 + 0 + 1 - 3 + (2 + 3 - 4)*(5 - 2 - 2)) in the form p*a + n*a**2 + d and give p. 0 Express -46*o**2 + 18522500 + 10*o - 37*o**2 - 18522500 in the form l*o**2 + b + t*o and give l. -83 Express -272 - 654*q - 503*q + 562 - 292 in the form m + l*q and give m. -2 Rearrange -937 + 2*w - 859 - 439 + 551 to q*w + b and give b. -1684 Rearrange -15367*b**2 - 22 - 21 +
{ "pile_set_name": "DM Mathematics" }
icking 2 y when two letters picked without replacement from yyqyqqqqqy. 2/15 What is prob of picking 1 r and 3 s when four letters picked without replacement from {s: 5, t: 2, r: 8, a: 1, n: 1}? 4/119 Two letters picked without replacement from {c: 5, r: 2, h: 6}. Give prob of picking 2 c. 5/39 Calculate prob of picking 3 u when three letters picked without replacement from {u: 7, r: 2}. 5/12 Two letters picked without replacement from {y: 3, u: 1, f: 2, h: 1}. Give prob of picking 1 u and 1 h. 1/21 Three letters picked without replacement from {p: 3, u: 4, d: 2, g: 6}. What is prob of picking 1 g and 2 p? 18/455 Two letters picked without replacement from xtxhhxxtxtxx. What is prob of picking 1 h and 1 x? 7/33 Two letters picked without replacement from {a: 3, l: 2, n: 1, j: 4}. What is prob of picking 1 j and 1 l? 8/45 What is prob of picking 1 d, 2 s, and 1 e when four letters picked without replacement from {e: 1, l: 11, d: 2, s: 2}? 1/910 What is prob of picking 1 l and 1 x when two letters picked without replacement from axalaalwaxwawlx? 3/35 Two letters picked without replacement from {q: 1, n: 6, y: 2, l: 2, m: 6, g: 3}. Give prob of picking 1 y and 1 g. 3/95 Four letters picked without replacement from {j: 2, o: 7, d: 1}. What is prob of picking 2 j, 1 d, and 1 o? 1/30 Two letters picked without replacement from vvlly. What is prob of picking 2 y? 0 Four letters picked without replacement from nqqyyqvxnbqnq. Give prob of picking 1 v and 3 q. 2/143 What is prob of picking 2 t and 2 d when four letters picked without replacement from {t: 4, d: 10}? 270/1001 Four letters picked without replacement from phphhhl. Give prob of picking 2 h and 2 p. 6/35 Four letters picked without replacement from ttglumtntgmm. What is prob of picking 1 g, 1 t, and 2 m? 8/165 Calculate prob of picking 3 v when three letters picked without replacement from {v: 3, i: 3, w: 1, n: 4}. 1/165 What is prob of picking 1 m and 1 o when two letters picked without replacement from {j: 2, o: 2, m: 1, c: 1}? 2/15 Four letters picked without replacement from {x: 4, c: 2, z: 1, p: 2, l: 2, f: 1}. Give prob of picking 2 l and 2 p. 1/495 Three letters picked without replacement from jjatnjnjjjjjntttjj. Give prob of picking 3 n. 1/816 What is prob of picking 1 y and 1 j when two letters picked without replacement from {f: 1, x: 6, j: 1, b: 3, y: 1}? 1/66 Two letters picked without replacement from {i: 1, e: 4, w: 3, z: 2}. Give prob of picking 1 e and 1 z. 8/45 What is prob of picking 3 k when three letters picked without replacement from eekkkkkkkbkkbkk? 33/91 Four letters picked without replacement from {d: 7}. What is prob of picking 4 d? 1 Four letters picked without replacement from {p: 1, b: 1, m: 1, e: 1, h: 2, a: 1}. What is prob of picking 1 m, 1 h, 1 p, and 1 a? 2/35 Calculate prob of picking 1 y and 2 a when three letters picked without replacement from ayoooyoyoayaoay. 6/91 Three letters picked without replacement from {j: 3, t: 1}. Give prob of picking 2 j and 1 t. 3/4 Three letters picked without replacement from darasmsfmrsadam. What is prob of picking 1 a and 2 d? 4/455 Three letters picked without replacement from {o: 5, a: 7}. What is prob of picking 1 a and 2 o? 7/22 What is prob of picking 2 z when two letters picked without replacement from {x: 2, z: 4, k: 10}? 1/20 Three letters picked without replacement from {e: 2, z: 10}. What is prob of picking 2 z and 1 e? 9/22 What is prob of picking 3 q and 1 z when four letters picked without replacement from {q: 7, z: 2, i: 1, e: 2, l: 3, r: 5}? 14/969 Four letters picked without replacement from {z: 3, c: 3, b: 12}. What is prob of picking 1 c, 2 b, and 1 z? 33/170 Two letters picked without replacement from {w: 6, u: 4, l: 4}. Give prob of picking 1 l and 1 u. 16/91 What is prob of picking 1 e, 1 i, and 1 h when three letters picked without replacement from eehiq? 1/5 What is prob of picking 2 n and 1 i when three letters picked without replacement from {i: 15, n: 4}? 30/323 Four letters picked without replacement from auuauaauaauaaaauaau. What is prob of picking 1 u and 3 a? 385/969 Four letters picked without replacement from {t: 2, z: 5, p: 2, x: 3}. Give prob of picking 1 t, 1 z, 1 p, and 1 x. 4/33 What is prob of picking 2 r when two letters picked without replacement from {n: 8, r: 3}? 3/55 Calculate prob of picking 2 u and 2 a when four letters picked without replacement from {a: 4, e: 4, u: 3, w: 3}. 18/1001 Two letters picked without replacement from bbbqbbbbqqbbbb. Give prob of picking 2 b. 55/91 Calculate prob of picking 1 x, 1 y, and 2 v when four letters picked without replacement from {x: 2, b: 2, u: 3, y: 1, z: 7, v: 3}. 1/510 What is prob of picking 2 j when two letters picked without replacement from {t: 7, m: 6, j: 6}? 5/57 Calculate prob of picking 2 n and 1 v when three letters picked without replacement from {n: 2, v: 1, b: 2}. 1/10 Calculate prob of picking 2 p, 1 b, and 1 c when four letters picked without replacement from {m: 2, p: 2, c: 1, h: 2, b: 1, z: 1}. 1/126 Calculate prob of picking 1 e and 1 k when two letters picked without replacement from {e: 18, k: 1}. 2/19 Calculate prob of picking 1 i, 1 l, and 1 f when three letters picked without replacement from {f: 2, i: 1, l: 1}. 1/2 Three letters picked without replacement from pppppppplpppppppplpp. Give prob of picking 2 l and 1 p. 3/190 What is prob of picking 2 q when two letters picked without replacement from powzaapapqapoqp? 1/105 Three letters picked without replacement from {y: 1, z: 1, g: 2, s: 4, c: 1, u: 11}. Give prob of picking 2 g and 1 u. 11/1140 Two letters picked without replacement from {o: 3, q: 5, y: 4}. What is prob of picking 2 o? 1/22 Two letters picked without replacement from dppu. Give prob of picking 2 p. 1/6 Four letters picked without replacement from {s: 3, x: 5}. What is prob of picking 1 s and 3 x? 3/7 Two letters picked without replacement from {r: 3, a: 3}. What is prob of picking 2 r? 1/5 Calculate prob of picking 4 i when four letters picked without replacement from {i: 8, l: 5}. 14/143 What is prob of picking 1 y, 1 x, and 1 s when three letters picked without replacement from {y: 10, o: 2, p: 3, s: 1, x: 1}? 1/68 What is prob of picking 2 i when two letters picked without replacement from ipkggivn? 1/28 Three letters picked without replacement from qququjuuuqjuq. Give prob of picking 3 u. 10/143 What is prob of picking 2 h, 1 p, and 1 y when four letters picked without replacement from hytttyyhtythpthpht? 4/153 Two letters picked without replacement from {d: 2, x: 5}. Give prob of picking 2 d. 1/21 What is prob of picking 2 k when two letters picked without replacement from {k: 7, r: 12}? 7/57 Two letters picked without replacement from vwggggvgddgg. Give prob of picking 2 d. 1/66 Three letters picked without replacement from {i: 2, w: 1}. What is prob of picking 3 w? 0 What is prob of picking 1 h and 1 p when two letters picked without replacement from {h: 12, p: 7}? 28/57 Calculate prob of picking 2 p, 1 z, and 1 r when four letters picked without replacement from frszszdrpsssssd. 0 Four letters picked without replacement from {l: 2, n: 7}. Give prob of picking 1 l and 3 n. 5/9 Four letters picked without replacement from rpcfprju. What is prob of picking 1 c, 2 r, and 1 p? 1/35 What is prob of picking 1 p and 1 n when two letters picked without replacement from {v: 2, p: 2, n: 1, m: 1, y: 1}? 2/21 Two letters picked without replacement from {r: 1, w: 3, b: 1, u: 3, p: 2}. What is prob of picking 1 w and 1 p? 2/15 Two letters picked without replacement from {h: 8, t: 1, c: 6}. What is prob of picking 2 h? 4/15 Two letters picked without replacement from fgefdgie. What is prob of picking 1 d and 1 f? 1/14 Four letters picked without replacement from {n: 1, m: 6, d: 6, f: 1, e: 3, j: 3}. Give prob of picking 3 j and 1 n. 1/4845 Four letters picked without replacement from {o: 2, v: 8, q: 3, k: 2}. Give prob of picking 1 q, 2 k, and 1 v. 8/455 Three letters picked without replacement from {g: 2, m: 7, s: 5, u: 4}. What is prob of picking 2 m and 1 g? 7/136 Two letters picked without replacement from gxxxgoqgoqygqoxqoqgg. Give prob of picking 1 y and 1 o. 2/95 Two letters picked without repla
{ "pile_set_name": "DM Mathematics" }
*1/((g**(-5/6)/g)/g**9) assuming g is positive. g**(331/30) Simplify (((s**(2/7)*s)/s)/s**(2/19))**(1/36) assuming s is positive. s**(2/399) Simplify (p/p**(-1/6)*p*p)/(p**(-16/3)*p) assuming p is positive. p**(15/2) Simplify i/i**(2/9)*i**1/i*i/(i*i**(-1))*i*i**(-1/4) assuming i is positive. i**(91/36) Simplify ((p/(p**13/p))/p*p)/((p**(1/5)/p)/p*p) assuming p is positive. p**(-51/5) Simplify j/(j/(j**(-3/11)/j)*j)*j**(-4)*(j**(2/7))**(-1/28) assuming j is positive. j**(-6773/1078) Simplify ((n/(n**(-1)*n))/(((n*n**5)/n)/n))**(-45) assuming n is positive. n**135 Simplify (c**0)**(-49)*c**(-4/7)/(c/(c/(c/(c/(c**(1/7)*c))*c))) assuming c is positive. c**(-19/7) Simplify ((a**(-1/3))**(-26))**(44/7) assuming a is positive. a**(1144/21) Simplify (u*(u/u**(-5)*u)/u)/u**26 assuming u is positive. u**(-19) Simplify ((b/(b*b/b**(-1/3)))/b**5)**32 assuming b is positive. b**(-608/3) Simplify (h**(-6)/(h/(h*h**(2/17)*h)))/(h**(-6)/((h*h**0*h*h*h)/h)) assuming h is positive. h**(70/17) Simplify (j**(1/2))**(28/5)*((j*j/j**(-3/7)*j)/j)/((j/j**(2/9))/j*j) assuming j is positive. j**(1402/315) Simplify (x/(x/(x**0/x*x)))**25 assuming x is positive. 1 Simplify p**(-2)/((p*p**(-14)*p)/p) assuming p is positive. p**11 Simplify (j**0)**(2/17)*j**8/(j*j/(j*j**8/j)) assuming j is positive. j**14 Simplify ((x/(x*x/(x*x**11*x)))/(((x/(x*x/(x/((x*x/x**(-4/13)*x*x)/x))))/x)/x))**30 assuming x is positive. x**(6750/13) Simplify (g**(-17)/g)**(-35) assuming g is positive. g**630 Simplify (w*w**(-10)*w/(w*w**(-1))*w)**(-1/15) assuming w is positive. w**(7/15) Simplify ((d**(-2/5))**(4/23))**(-3/7) assuming d is positive. d**(24/805) Simplify (((d*d**(2/11)*d)/d)/d*d*d**(-4/5)*d)/(d**(2/19)/((d**(3/4)/d)/d*d)) assuming d is positive. d**(4291/4180) Simplify ((x/(x**(-3/8)*x))/x*x*x)/(x/(x*x**(2/9))) assuming x is positive. x**(115/72) Simplify (x**(-2))**(3/2) assuming x is positive. x**(-3) Simplify f**(8/7)/((f/(f/(f**(1/9)*f))*f*f)/f) assuming f is positive. f**(-61/63) Simplify o*(((o*o**(-20)*o)/o)/o)/o*o/(o**10*o*o) assuming o is positive. o**(-31) Simplify (t*t/(t*t/(t*t**(-4/13)))*t*t)/t**(7/6) assuming t is positive. t**(119/78) Simplify (a**1*a*a/(a/a**(-9)*a))**35 assuming a is positive. a**(-280) Simplify (t**(-6/5)*t*(t/(t*t**(-4/3)*t))/t*t)**(1/56) assuming t is positive. t**(1/420) Simplify a**(1/5)/a**0 assuming a is positive. a**(1/5) Simplify r/r**20*r/(r*r**(1/13))*r assuming r is positive. r**(-235/13) Simplify (u/(u/(((u**(-1)*u)/u)/u*u*u)*u)*u*u)**(-44)/(u**(-1)*u)**(-6/7) assuming u is positive. u**(-44) Simplify (v/v**(-8)*v)/(v/v**6)*v*v*v**(5/3)*(v/(v/v**(-1)))/v*v assuming v is positive. v**(53/3) Simplify (k**(-2/5)*k**(-5/2))**20 assuming k is positive. k**(-58) Simplify (k/((k**(-1/6)/k)/k))**(2/43) assuming k is positive. k**(19/129) Simplify (b**(3/4)/b)**(-1/3) assuming b is positive. b**(1/12) Simplify (p**8*p*p**(-8))**(-11) assuming p is positive. p**(-11) Simplify (d*d*d/(d/d**(-1))*d*d**(1/10))**(-1/20) assuming d is positive. d**(-21/200) Simplify ((s*s*s**(2/9))**(-34))**20 assuming s is positive. s**(-13600/9) Simplify (u**(-2/3)*u*u*u**(-14))**(-4/9) assuming u is positive. u**(152/27) Simplify (h**6*h)/h**(2/17)*h*(h*h**(2/9))/h*h*h**2*h assuming h is positive. h**(1852/153) Simplify n**7*n**(-4/9)*n*n**(-6/13)*n/((n*n/n**2)/n*n*n) assuming n is positive. n**(830/117) Simplify (m**(2/13)/m)**(2/99) assuming m is positive. m**(-2/117) Simplify (k**(-23)*k)**26 assuming k is positive. k**(-572) Simplify x**(2/21)*x/x**28 assuming x is positive. x**(-565/21) Simplify (d**(1/27)*d*d**4)**(2/5) assuming d is positive. d**(272/135) Simplify (w*w**(-17)*w)/(w*((w*w*w*w**28/w)/w)/w*w) assuming w is positive. w**(-45) Simplify (v/v**(-1/2))**(3/17)*v**(3/4)*v**(6/7)*v assuming v is positive. v**(1367/476) Simplify u*u**11*u/(u*u/u**9) assuming u is positive. u**20 Simplify ((x*x**(-1/7)/x)/(x**(3/10)/x*x))**(4/17) assuming x is positive. x**(-62/595) Simplify (v**(2/21)*v*v**(-11))**(-38) assuming v is positive. v**(7904/21) Simplify v**(2/5)/v**(-2)*v/(v/(v**0/v)*v)*v**(2/11) assuming v is positive. v**(32/55) Simplify (r/r**(-1/4))**0 assuming r is positive. 1 Simplify ((o*o*o/((o/o**(1/3))/o))/o)/(o**(-4/3)*o)*o**(-1)*o**5/o assuming o is positive. o**(17/3) Simplify (s*s**0*s)**21*s**4/s*s**4/s assuming s is positive. s**48 Simplify (r**(-1/4)/r)**(2/17)*r*(r*r/(r/(r/(r**(-4/5)*r))))/r*r/((r/(r*(r*r**(-2/3))/r)*r)/r) assuming r is positive. r**(1013/510) Simplify c**(-4/13)*c/((c*c**21)/c*c) assuming c is positive. c**(-277/13) Simplify (n**(-2/11)*n)/(n*n*n**(-9)*n)*n*n**(-3)*n**(-1/2) assuming n is positive. n**(95/22) Simplify (((w**(-1/2)*w)/w)/w*w**(-1/3))/(w*w/(w*w**(4/3)/w*w)*w/(w/w**(-1/2))) assuming w is positive. 1/w Simplify (r*r**(-7))/(r/(r**(-2/7)*r*r*r)) assuming r is positive. r**(-30/7) Simplify f/(f/(f*f**(-3)))*f**(2/5)*f/f**(-3)*f*f*f**(-4)*f assuming f is positive. f**(7/5) Simplify (o**(-1/4)*o**(-6))**37 assuming o is positive. o**(-925/4) Simplify (p**(2/13))**(2/3) assuming p is positive. p**(4/39) Simplify b**32/(b/b**(2/87)) assuming b is positive. b**(2699/87) Simplify (f*f/f**(-22)*f*f)**(-2/69) assuming f is positive. f**(-52/69) Simplify (q/((((q/(q*q**6*q*q))/q)/q)/q)*q*q**(2/7))**(-23) assuming q is positive. q**(-2139/7) Simplify ((m/m**7*m)/m)/(m*m/(m/m**(-1)))*m**(-2)*m**(1/2) assuming m is positive. m**(-15/2) Simplify ((((b/(b*b*b**1*b))/b)/b*b)**(23/2))**(-12) assuming b is positive. b**552 Simplify a/(a/((((a**(-29)*a)/a)/a)/a))*a/(a*a**(2/31))*a assuming a is positive. a**(-932/31) Simplify d**(-1/30)*d/d**43 assuming d is positive. d**(-1261/30) Simplify ((z/(z/(z*z*z/((z**(2/7)*z)/z)*z*z)))/z*z*z**(1/18))**(-2/13) assuming z is positive. z**(-601/819) Simplify (r**0*r*r/r**6)/(r**6/r**0) assuming r is positive. r**(-10) Simplify (m*m*m/m**(2/5))**(-1/34)/(m**(1/2))**(-1/79) assuming m is positive. m**(-471/6715) Simplify f**(3/7)*f*(f/(f/f**6))/f*f*f*f*f**(-4)/f**(1/3) assuming f is positive. f**(107/21) Simplify (m/(m*m/(((m*((m/m**0)/m)/m*m)/m)/m)*m)*m)/m**5*(m**(-1/2)/m)**44 assuming m is positive. m**(-73) Simplify j/(j**(10/11)/j)*j/(j*j*j*j/(j**16*j))*j assuming j is positive. j**(177/11) Simplify (u/u**(2/3))**(-31)/(u**5/(u*(u*u*u**(-2/9))/u)) assuming u is positive. u**(-122/9) Simplify v*v**3*v/v**(-12) assuming v is positive. v**17 Simplify (i*i*i**(-11))/i*i**(5/3) assuming i is positive. i**(-25/3) Simplify (d*d/(d*d**12)*d*d)**(14/9) assuming d is positive. d**(-14) Simplify (z/((z*z/z**(2/9))/z))/(z**(-3)*z) assuming z is positive. z**(20/9) Simplify (u*u/(u**(1/5)*u*u)*u*u*u*u**(-2/5))**(-5/2) assuming u is positive. u**(-6) Simplify (q/q**1)**(-6)/(q**6/(q/q**6*q*q)) assuming q is positive. q**(-9) Simplify ((b*b/b**(-4))/b)/b**(-2/7)*(b**(-1/7)/b)/((b*(b**(-5)*b)/b)/b) assuming b is positive. b**(64/7) Simplify z**(1/4)/(z**1/z)*(z**(-1/3))**18 assuming z is positive. z**(-23/4) Simplify i/(i*i/(i/i**(-4/23))*i)*i*i*i*i*i*i*i*i*i/((i**(9/8)*i*i)/i*i)*i*i assuming i is positive. i**(1297/184) Simplify x**(-31)*((x/x**(1/42))/x*x)/x assuming x is positive. x**(-1303/42) Simplify (k/k**(-13))/k*k**(11/5) assuming k is positive. k**(76/5) Simplify ((n/(n**(-2/11)*n))**30)**(17/5) assuming n is positive. n**(204/11) Simplify (y/((y*y**(-1/5))/y))**24 assuming y is positive. y**(144/5) Simplify (m*(m/m**(-12))/m)/(((m*m/((m*m**(-7/4))/m))/m)/m) assuming m is positive. m**(45/4) Simplify (a**(-2/7)*a)/(a/(a/(a*a**(1/6))*a)) assuming a is positive. a**(23/42) Simplify (((o/(o**(1/8)*o))/o)/o*o*o**(-2/11))**(2/35) assuming o is positive. o**(-23/308) Simplify d**(6/17)/(d**(2/19)/d) assuming d is positive. d**(403/323) Simplify ((f**(3/4)/f)/(f*f/f**2))/(f*f/f**(3/10)*f/f**(2/17)*f*f) assuming f is positive. f**(-1643/340) Simplify d**17*d/d**(-1/44) assuming d is positive. d**(793/44) Simplify (f/(f**(1/15)/f))/f**(-22) assuming f is positive. f**(359/15) Simplify c**(-23)*c/(c*c**(4/9)/c) assuming c is positive. c**(-202/9) Simplify ((o*o*o*(o*o**(-1/6)*o)/o*o)/(o/o**(2/5)*o))/((o/((o/o**(2/11))/o))/o**0) assuming o is positive. o**(677/330) Simplify l**(2/11)*l**(1/3)*l*l**5/(l/(l*l**(-7))) assuming l is positive. l**(-16/33) Simplify ((a/(a**4*a))**(-8/9))**(2/5) assuming
{ "pile_set_name": "DM Mathematics" }
se Let l = 63 - -458. Is l composite? False Suppose -i = 5*o - 0*i + 5, 5*i = 25. Is 886/o*9/(-9) composite? False Suppose 4*u = -5*g + 2457 + 45, 2*g + 3*u - 1005 = 0. Let m = 837 - g. Is m a prime number? False Suppose 0 = 12*f - 11*f - 27. Is (-4766)/(-18) + 3 + (-75)/f prime? False Let n be -3 + 21/3 + 4. Let b(p) = -p**3 + 22 + 2*p**2 - 3*p**2 + n*p**2 - 4*p - 15. Is b(6) a prime number? True Let p(i) = -i**2 + 6*i + 7. Let h be (28/10)/((-14)/(-35)). Let j be p(h). Suppose -8*r + r + 2065 = j. Is r a prime number? False Let i(l) = 168*l - 7 - 2 + 61*l + 114*l. Is i(2) a prime number? True Suppose 5*z + 72 = 2. Is (-1 - -23)/(z/(-49)) composite? True Let o(k) = 502*k**3 + 10*k**2 - 25*k + 15. Is o(4) a composite number? False Let t(a) = 9*a + 26. Let h be t(2). Suppose -1502 = -h*n + 42*n. Is n a composite number? False Suppose -115 = 4*b - 3. Let l be ((-22)/(-8))/((-1)/b). Suppose -x + l = -0*x. Is x a composite number? True Let a = 62128 - 34125. Is a a prime number? False Let x(s) = -2*s - 9. Let q = -27 + 20. Let c be x(q). Suppose -c*n + 450 = 5*f, 0 = -4*f + 5*n - 83 + 470. Is f a prime number? False Suppose 2*u = 4*o - 0*u - 1026, -3*o = 5*u - 750. Suppose -r + 672 = o. Is r prime? False Let t(v) = -v**3 + 45*v**2 - 90*v - 10. Is t(42) a composite number? True Let f(c) = -c**2 - 7*c + 20. Let y(o) = o**2 + 5*o - 13. Let i(u) = 5*f(u) + 7*y(u). Is i(-17) a prime number? True Let f = -119 + 117. Is (-9011)/(-2) + (f - 7/(-2)) a prime number? True Let p(l) = 14*l**2 + 2*l - 15. Let i be p(-6). Suppose -9*u + 2358 - i = 0. Is u a prime number? False Suppose 5*r - 4*j - 119573 = 0, -2*r + 3*j + 47846 = 7*j. Is r a composite number? False Suppose -432 = 2*w - 6*w. Let l be 4399/9 - (-24)/w. Suppose -5*a + 514 = 4*u - l, 3*a + 1300 = 5*u. Is u composite? False Let q be (-12)/(-4)*(-6)/(-18). Let k be (10/8)/(q/4). Suppose k*z = 2*y - 109, y + 2*z - 61 = -20. Is y prime? True Suppose b + 6*b - 33481 = 0. Is b a composite number? False Suppose 10 = -5*a + 5*l, a + 24 = 5*a + 4*l. Let r(j) = -7 + 0*j + 0*j**2 + j**2 - a*j - 1. Is r(-7) a composite number? True Suppose 4*y + 2*b - 5*b + 41 = 0, -2*y + 3*b - 13 = 0. Suppose -2*i - 4*w = -0*i - 64, 134 = 4*i + 5*w. Let z = y + i. Is z a composite number? True Suppose -y - 5 = -28. Let i(m) = y*m**2 + 1 + 10 - 8 - 3*m. Is i(3) prime? False Let c(v) = -4*v**3 + v**2 + v - 1. Let k be c(1). Let w be 1/k + (-8825)/(-15). Suppose 4*t = 2*g + 112 - 394, 2*t + w = 4*g. Is g composite? False Suppose 27*d - 6825050 = -23*d. Is d prime? True Let z(n) = -3*n - 12. Let o be z(-5). Suppose -o*a - 2*a + 10 = 0. Is a/13 + 32564/91 composite? True Let v(i) = -516*i - 1. Let j(l) = -515*l - 1. Let r(g) = 4*j(g) - 3*v(g). Let m be (-7)/3 - (-20)/15. Is r(m) a composite number? True Let n(c) = 4*c**3 + 7*c**2 + 3*c - 3. Let t be n(-5). Let l = 344 - t. Is l composite? True Let b(v) = -8*v**3 - 2*v**2 - 2*v - 1. Suppose -4 + 2 = l. Let n be b(l). Suppose 0 = 2*y - 4*s - 142, 3*s = -y - s + n. Is y a composite number? False Suppose -j = -r + 2*r - 23262, -j + 3 = 0. Is r composite? True Let l = -213 + 2755. Suppose y = -3*m + 721 + 1182, l = 4*m - y. Is m composite? True Suppose -s + 2838 = k, 3*s + 0*k = -4*k + 8519. Is s prime? True Let d(n) = n**3 + 2*n**2 - 10*n + 10. Let k(t) = t**2. Let x(u) = d(u) + 6*k(u). Let l(s) = -s**3 + 7*s**2 - 3*s + 12. Let z be l(7). Is x(z) prime? True Let b(i) = -995*i - 339. Is b(-10) a prime number? False Let k be ((-18)/(-8))/((-18)/(-96)). Let i be k/(-24) + 18/4. Suppose -i*x + 2*b + 155 = -25, b = x - 47. Is x prime? True Suppose -47807 = -3*v + 10786. Is v composite? False Suppose -27 = 11*n - 8*n. Let w be n/2*33358/(-39). Is w/15 - 8/(-20) prime? True Suppose 5*j + 1727 = 3*g, 1767 = 3*g - 4*j + 7*j. Suppose -w + g = -133. Is w composite? True Suppose 4*t - 2*u - 56580 = 0, 14147 = t + 66*u - 67*u. Is t a prime number? True Suppose 4*f = 5*s + 742, -368 = 6*f - 8*f + 4*s. Suppose -f = -a + 207. Is a a composite number? True Suppose -2865476 - 1166097 = -91*p. Is p a prime number? False Let o be 302/(-14) + 6/(-14). Let g be (-24)/(-10) - o/(-55). Is (14/g)/((-3)/(-9)) a prime number? False Let l(g) = -2*g**3 - g**2 + g + 19. Let x be 1 + 2 + (-17 - -14). Let m be (x/(-2))/(6/(-6)). Is l(m) prime? True Let k be 8/(-3)*(-8 - -5). Let t = k - 6. Suppose 0 = 3*b - 5*v + 3*v - 153, -3*v = t*b - 115. Is b prime? True Suppose -13*g - 50 = -18*g. Let n be ((-464)/20)/((-2)/g). Let c = 83 + n. Is c prime? True Is ((-6)/(-8))/(144/1148352) a composite number? False Suppose 0 = r - 6*r - d + 684056, -2*r + 273619 = -3*d. Is r a prime number? True Is (0 + 8/(-12))/((-20)/366810) prime? True Is (169/9)/1 + (-104)/(-468) a prime number? True Is (3/(-9))/((24/29421)/(-8)) prime? False Let y = -1855 + 4206. Is y a composite number? False Suppose 31*m + 7626 = 34*m. Suppose 4*q = -u + m, -2*q - 2*u = -5*u - 1264. Is q prime? False Suppose 0*m + 3*u - 16 = -5*m, -m + 14 = -3*u. Suppose -4*i - o = -1797, m*o - 235 - 219 = -i. Is i composite? False Let r(v) = 541*v**2 - v + 1. Let f(t) = t**3 + 14*t**2 + 1. Let d be f(-14). Is r(d) a prime number? True Let p be (-6)/((1 - 0) + 0). Let k(i) = -14*i + 4 - 3 - 12*i + 6. Is k(p) composite? False Suppose 3579 = -11*k + 11488. Is k a composite number? False Let t be 90/21 - (-10)/(-35). Suppose 3*r = r - t. Is (1*r)/(30/(-465)) composite? False Suppose 302*w - 42410 = 292*w. Is w prime? True Let h(m) = 47*m - 3. Let s = 24 - 17. Let b be 1/s + 27/7. Is h(b) a prime number? False Suppose r + 282 - 47 = 0. Let o = r - -342. Let q = 194 - o. Is q composite? True Suppose i + 3 = 0, 4*j - 2*i - i - 133 = 0. Let k = j + -27. Is (8/(-12))/(k/(-2442)) composite? True Let v be (-64)/(-48) - 262/(-6). Let d be (0 - 1)*v/(-3). Suppose 16*k - d*k - 85 = 0. Is k prime? False Let j(s) = 25 - 3*s**2 + 2*s**2 + 4*s**2 + 27*s. Is j(-21) a composite number? True Let f(g) = 945*g + 9. Let o be f(-3). Let p = o + 5329. Is p a composite number? False Let s be (-68)/(-4)*1*-1. Is (-5670)/(-8) + (s/(-4) - 4) composite? False Let x(u) = -258*u + 89. Is x(-18) a prime number? True Suppose -29*f + 28*f + 107098 = 2*b, 0 = 5*f. Is b a composite number? False Is (-8361)/(-18)*(-28)/(-14) a composite number? False Let r(o) = o - 6. Let w be r(8). Suppose 3*h = 3*b + 18, -6*h + b = -w*h - 21. Suppose j - h*c + 504 = 3*j, 5*c = 4*j - 1038. Is j a composite number? False Let h(d) = -3*d + 2063. Let l be h(0). Let u = 3268 - l. Is u a prime number? False Let n = -11 + 11. Suppose 4*c + 5*m = -5, n = -3*c + 2*c + m + 10. Suppose 0 = c*y - 10*y + 2495. Is y composite? False Let x(y) = 2519*y**2 - 3*y - 1. Let g = 90 + -91. Is x(g) composite? False Let u be (-384)/15*15/(-6). Let p = 234 + u. Is p composite? True Suppose 0 = -48*p - 31*p + 2643103. Is p a prime number? True Suppose -274*p + 271*p + 4431 = 0. Is p composite? True Let m(z) = 1744*z + 81. Is m(10) a composite number? True Let a(l) = 28*l - 8*l**2 - 5 + 7*l**2 - 27*l + 18*l**2. Is a(-4) composite? False Let v(r) = -30*r**2 - 2*r + 17. Let t(q) = q**2 - 1. Let y(z) = -5*t(z) - v(z). Is y(5) a composite number? True Let y be -2 + (16 - 2) + (0 - 3). Is (-13566)/(-54) - 2/y a composite number? False Suppose 22*b - 48 = 10*b. Suppose 0 = b*v + 3*p - 6616, 0 = -8*v + 9*v - p - 1647. Is v a composite number? True Suppose 2*q = q + 1, -5*a = 4*q - 209. Suppose -m + a = -89. Suppose s = -s + m. Is s a composite number? True Let i = 568 - 261. Suppose n - 189 = i. Suppose 0 = -5*r + v + 608, 3*r + r + 4*v - n = 0. Is r prime? False Suppose -4*a + 72 = -4*p - 0*p, -54 = 3*p - a. Let c = 23 + p. Suppose k - 199 = z, -c*k = -4*k + 2*z - 211. Is k a composite number? True Let y(b) = -b**3 + 3*b**2 + b + 3. Let q be y(3). Is q/8 + 1252/16 composite? False Let f = 6 - 3. Suppose -f*w - 9 = p, -w - p - 1 = -0*w. Let j(m) = -10*m - 1. Is j(w) a prime number? False Let o = 4 - -6. Suppose 0*j + o = -5*h + 3*j, 0 = 3*h + j - 8. Is (-35 - 2)/((-1)/h) a prime number? True Let u = 7 - -2. Let n be 12/u + (-8)/(-12). Suppose 0 = -5*d - o + 286, -2*o + 113 = n*d - 3*o. Is d a prime number? False Let u be 56/16*(-1 - -15). Suppose 4*d = 4*c - 680, d + u = -5*c - 97. Is (d/8)/((-1)/4) composite? False Let q(a) = -5*a**3 - 6*a**2 + 4*a + 18
{ "pile_set_name": "DM Mathematics" }
*q - 11276*q)*(q - q + 3*q**2) to h*q**2 + d + b*q + i*q**3 and give i. -120780 Rearrange (-6*l + 3*l - 7*l)*(-5*l - 9*l - 12*l)*(1 + 2 + 0) to f + b*l**2 + p*l and give p. 0 Express -582*v + 156036 - 156036 as u + l*v and give u. 0 Rearrange o**3 - 3*o**3 + 3*o**3 + (6 - 2 - 3)*(-171*o + 20 + 1702*o**2 - 11*o**3 - 1703*o**2 + 170*o) to l + n*o**2 + x*o**3 + t*o and give l. 20 Express 2 + 13*w - 2*w**2 - w**3 - 419*w - 308*w + 45*w as a*w**2 + g*w + p + c*w**3 and give g. -669 Rearrange 179 + 104*o - 159*o + 53*o to l + z*o and give z. -2 Express (6 + 10 - 6)*(3 + 3*a - 3) - 60*a - 8*a - 74*a as c*a + y and give c. -112 Express (-1 + 2 + 1)*(2*w - 33*w + 18*w)*(0 + 3 + 4)*(5 - 3 - 3)*(-32 + 32 - 7*w**2) as a*w + o*w**2 + v*w**3 + i and give v. -1274 Rearrange 2*l + 2 - 503*l**3 + 2016*l**3 - 505*l**3 - 502*l**3 + 15*l**2 - 510*l**3 to the form k*l + x*l**2 + m*l**3 + v and give k. 2 Express (-5 - 14 + 0)*(-883*y + 176*y + 68*y) in the form u*y + h and give u. 12141 Rearrange 10005 - 26*g - 3*g + 10032 - 19924 to the form q*g + a and give q. -29 Express 2*w + 7*w - 11*w - 13*w**4 - 937*w**3 + 952*w**3 as f + s*w**3 + a*w**2 + p*w + c*w**4 and give c. -13 Express -24*t**2 + 8*t**3 + 5 + 3882001*t - 3881999*t + 0 - 6 in the form y*t**2 + h*t**3 + b*t + k and give h. 8 Rearrange (-86184*i**2 + 0 + 1 + 86182*i**2 + 49*i)*(2*i - 37 - 39 + 78 + 3*i**2) to the form n + k*i**3 + s*i**4 + v*i + o*i**2 and give o. 97 Rearrange (-9*z - z + 2*z)*(-1106 - 2*z + 2913 + 3*z) to s + m*z + v*z**2 and give v. -8 Express -1212*i - 1822*i - 213*i - 1126*i as l*i + c and give l. -4373 Rearrange (4*q - 4*q + 3*q**2)*(4790*q**2 + 561314*q - 561314*q) to w*q**2 + a*q + b*q**3 + k + u*q**4 and give u. 14370 Express 6994*v**2 - 3701*v**2 - 120*v**2 + 7277*v**2 as p + u*v + l*v**2 and give u. 0 Express (1 - 2 + 13)*(-i - 3 + 3 + i + i - i + (4*i - 4*i + i)*(3 - 7 + 2) - 173*i - 487*i + 1160*i) + 11 - 3*i + 0*i - 9 as r*i + g and give g. 2 Rearrange 74*u**2 - 2327*u**2 - 1525*u**2 - 295*u**2 + (3 - 2 + 1)*(-4 + u**2 + 4) to the form j*u + f*u**2 + p and give f. -4071 Express -1 - 7*u**3 + 51*u**2 + 5900*u - 5901*u + u**4 + 0*u**3 as c*u**2 + l*u**3 + g*u**4 + n + q*u and give q. -1 Rearrange -8926 + 17*g**2 + 2*g + 8928 - 38*g**3 - 27*g**2 to a*g**3 + v + n*g**2 + d*g and give d. 2 Express -649*r**2 - 17041*r**3 + 8527*r**3 + 8515*r**3 as i*r**3 + g + z*r**2 + s*r and give i. 1 Express -1 + 3*s + 1 + (-6 + 12 + 5)*(-7*s - 14*s - 4*s) in the form f + p*s and give p. -272 Rearrange -4786*k - 297 + 463 - 166 - 9928*k to s*k + j and give s. -14714 Rearrange 4420*l - 3*l**2 + 59*l**3 + l**2 - 4421*l + 1 + 17*l**3 to the form g*l + r*l**3 + i + q*l**2 and give r. 76 Rearrange (-974 - 2041 - 2592)*(v - 3*v + 3*v) to the form t*v + u and give t. -5607 Express (-299746*y + 211 + 599499*y - 299748*y)*(1 - 6 + 3) as g*y + z and give g. -10 Express (-1 + 2*y + 1)*(66504 + 58392 - 223591 + 75167) + (5 - 2 - 4)*(-2*y + 0*y + 3*y) + 5*y - 4*y - 2*y in the form h*y + o and give o. 0 Rearrange -3981*s - 41216 + 41216 to p + u*s and give u. -3981 Express 3865*w - 37 - 7667*w + 3838*w as z + t*w and give t. 36 Rearrange (8535*y**2 - 24 + 65 + 15520*y**2 - 41)*(1 + 1 - 4) to v*y + x + b*y**2 and give b. -48110 Express (-42*r - 78*r + 30*r)*(-5 - 3 + 4)*(-1 + 5 - 3) + 2 - 2 + r + (0 - 3 + 1)*(-3*r - 2*r + 6*r) + 0*r + r - 3*r + r - 2*r + 0*r as h + l*r and give h. 0 Rearrange 1146*z**2 + 156*z**2 - 265*z**2 + 607*z**2 + 1737*z**2 to x*z**2 + p + k*z and give x. 3381 Express 38 + 30*r + 38*r - 111*r + 34*r + 32*r in the form p*r + f and give p. 23 Rearrange (358*m**3 + 1069*m**3 - 3*m**4 + 4*m**4)*(-1 + 3 - 1 - 10 + 28 - 8 + (-2 + 0 + 4)*(1 + 3 - 2)) to h + z*m**4 + j*m**2 + u*m**3 + f*m and give u. 21405 Express 459 + 3*b**4 + 412 - 3*b**4 - 4*b**3 - 834 - 8*b**4 as f*b**3 + t + p*b + d*b**4 + q*b**2 and give d. -8 Express 12*v + 1786*v + 1208*v + 5235*v in the form r + z*v and give r. 0 Rearrange (4411*a**2 - 831*a**2 + 2932*a**2)*(-4 + 4 - 2*a)*(3 + 3 - 2) to the form j*a**2 + q*a**3 + g + n*a and give q. -52096 Rearrange k - 178 - 73 - 1214 + 479 - 911 to the form l + m*k and give l. -1897 Express -f + 41*f - 194 - f - 40*f + 5*f + 2*f**3 in the form a*f**3 + h*f + m + d*f**2 and give h. 4 Express 23*q + 13*q + 9*q + 131*q**2 - 105*q**2 - 3*q as s*q + y*q**2 + z and give s. 42 Rearrange 10*b + 8*b - 22*b - 1 + 2*b**4 - 3*b**3 + 57*b to the form r*b**4 + p*b + d*b**3 + w + v*b**2 and give w. -1 Express (-38184*q - 36603*q - 35915*q - 5 + 108515*q)*(-5 + 0 + 3) as u*q + l and give u. 4374 Rearrange -243*h - 168*h + 2*h**2 + 3 - 18 + 58*h to o + v*h + i*h**2 and give v. -353 Express (56 + 51 - 444)*(5 - 5 - 18*x) as n + m*x and give m. 6066 Express ((1 - 5 + 2)*(2*o + 0*o + o) - o + 2 - 2 - 17*o + 19*o + 36*o)*(2*o + 2 - 2) in the form x*o**2 + c*o + y and give x. 62 Express -10*p + 106 + 66*p - 21*p - 13*p + p**4 - 11 - p**2 in the form i*p**2 + s + v*p**3 + z*p + h*p**4 and give h. 1 Rearrange (4 - 6 + 4)*(1120 + 1116 - 3353 + 1117 - 13001*j) to r + l*j and give l. -26002 Express -2 + 3 - 20*m - 135*m + 0 - 321*m**2 + 314*m**2 as l*m + a*m**2 + u and give a. -7 Express 3 - 10 + 11 + 2*u - 3 - 142*u as x + z*u and give z. -140 Express (-1 + 2 + 0)*(-162 + 162 + 4*v)*(-8*v**2 + 2*v + 118 + 9*v**2 - 37) as d*v**3 + q + p*v**2 + k*v and give p. 8 Rearrange ((3*a + 0*a + 5*a)*(-446 + 893 - 13*a - 453) + 0 + 0 - 2*a**2)*(-4*a**2 + a**2 + 5*a**2) to p*a + t*a**3 + w*a**4 + y*a**2 + b and give w. -212 Express -261*i - 309*i - 52*i + 107*i + 1 - 133*i in the form c + b*i and give c. 1 Rearrange -31*x**3 + 44*x**3 + 21*x - 27*x**3 + 106 - 124 to s*x + j*x**2 + f + n*x**3 and give s. 21 Express -174*m - 3*m**4 + 32*m**3 + 0*m**4 + 2*m**2 - 3 + 6 + 172*m as p*m**3 + b*m**2 + d*m**4 + j + y*m and give d. -3 Express 22902*o - 11937*o - 16138*o in the form l + u*o and give l. 0 Express (-5 + 2*z + 5)*(z - z - 2*z)*(477 - 401 - 375) in the form s + o*z**2 + j*z and give o. 1196 Rearrange (-7*f + 6*f - 13*f)*(-2*f**3 + 56 - 38 + 95) to i*f**2 + h*f**4 + l*f + x*f**3 + v and give h. 28 Express 4*k - 5*k**4 + k**4 - 3*k + 8*k**3 - 2*k**3 + 3*k**3 + 3 as d*k**4 + y*k**2 + b*k**3 + x*k + q and give q. 3 Express -535 - 9*x - 7*x**2 + x**2 + 530 - 7*x - x**4 in the form t*x**2 + q*x + y + s*x**3 + b*x**4 and give s. 0 Express (-x**2 + x**2 + 2*x**2)*(-x - 2*x + x) + 3*x**3 + 6*x**3 - 2*x**3 - 16 + 80 - 64 - 1161*x**3 in the form v + n*x + g*x**2 + f*x**3 and give f. -1158 Rearrange -32*s**3 + 2*s**4 - 25*s**2 - 103*s**3 + 140*s**3 + 4*s to w*s**2 + r*s**4 + u*s**3 + g + p*s and give u. 5 Rearrange (-11*x**2 + 11*x**2 + 14*x**3)*(-2 - 2 + 6) + 11 + 6*x**3 - 11 - 5*x**3 - 3*x**2 + 3*x**2 to the form q*x**3 + f*x + o*x**2 + z and give q. 29 Express ((-5 + 3 + 0)*(-3 + 3 - 1) - 4 - 4 + 6 + 1 + 3 + 11 - 1 + 4 - 2 - 4 + 26 + 1)*(-y**2 - 2*y**2 + y**2) as j + a*y**2 + h*y and give a. -78 Rearrange 206*z + 63*z**2 + 127*z + 170*z - 398*z to the form v + n*z + q*z**2 and give n. 105 Rearrange 53*u - 53*u + 394*u**2 + 0 + 1 + 3 to the form y + i*u + x*u**2 and give x. 394 Rearrange (-5*i + 4*i + 4*i)*(29*i - 49*i + 18 + 18*i**2 + 22*i) to d*i**3 + t*i**2 + j*i + r and give t. 6 Rearrange 0*v + 3*v**4 + 0*v + (-89*v**2 - 3646*v + 3646*v)*(-v**2 + v**2 + v**2) - 2*v**4 + v**4 + 0*v**4 to z*v**2 + s + o*v**4 + d*v + x*v**3 and give o. -87 Express (0*g + g - 4*g)*((3 - 4 - 2)*(-g + g + g) + 171*g + 143*g - 48*g) in the form v + k*g**2 + p*g and give k. -789 Rearrange -8276920*c**2 - 5*c + 8280955*c**2 + 3*c to v*c**2 + a*c + z and give a. -2 Rearrange 2909 + 896*d**2 + 2904 - 5816 to the form j + u*d + c*d**2 and give c. 896 Rearrange 6054*g - 286*g - 1145*g + 5572*g to the form a + n*g and give a. 0 Rearrange 2*t**2 - 2045*t + 3*t**4 - 46 + 2044*t - 4*t**3 - 4*t**4 + 13 to p*t**3 + s*t**2 + u*t**4 + d*t + w and give w. -33 Express 1208*w + 379*w - 940*w + 1453*w in the form l*w + t and give l. 2100 Express -609*r + 61*r + 526 - 530 - 257*r as k + y*r and give k. -4 Express 67 + 141*o - 67 - 47 + 47 - 8*o + 0 + 0 - 2*o + (4 - 2 - 4)*(-1 + 1 - 2*o) as f + i*o and give i. 135 Express (3*o - 2*o + 2*o)*(-3*o**2 + 0*o**2 + o**2) + o**3 - 3*o**3 + 0*o**3 - 648 + 1268 - 620 - 1827*o**3 in the form b*o**3 + y + r*o + z*o**2 and
{ "pile_set_name": "DM Mathematics" }
*(-2/23)*((h/((h/(h*h*h**(-12)/h))/h))/h)/h) assuming h is positive. h**(28195/2346) Simplify (m**(-24)/(m**(-2/35)*m*m*m)*(m*m/(m**21*m))/m*m*m**(-2/39))**0 assuming m is positive. 1 Simplify ((v*v**5)/v**(4/7))**(-1/26)*((v**1/v)/((v/v**(-6/5))/v))/(v**(3/4)/((v**1*v)/v*v*v)) assuming v is positive. v**(1531/1820) Simplify (w**(-2)*(w/(w/(w/(w/w**(-8)))))/w*(w*w*w*w**(2/9))**(-1/7))**22 assuming w is positive. w**(-15884/63) Simplify (((x**(1/3)*x)**(1/16)/(x**1)**(-5/9))**(-23))**(22/3) assuming x is positive. x**(-5819/54) Simplify (m**5/((m**6/m)/m))**(-42)*m**(-6)/(m/(m/(m**(-2/5)/m)*m*m))*m**(-1/3)/(m/(m/(m/m**6)*m)*m) assuming m is positive. m**(-599/15) Simplify ((o**(-6)*o*o**(3/17))/((o**(-1/2)/o)/o*o**(-8/5)*o))**34 assuming o is positive. o**(-293/5) Simplify (((r/(r*r*r**(-29)*r*r))/(r**(-7)*r*r))/(((r/((r*r**(11/2))/r))/r)/r*r)**0)**(-1) assuming r is positive. r**(-31) Simplify ((((f/f**(-1/2)*f)/f**(-3/4))/(f*f*((f**(-1)/f*f)/f)/f)**(-2/11))**(1/9))**15 assuming f is positive. f**(225/44) Simplify ((p**(-14/9))**(-2/7)/((p/((p*p/(p**10*p)*p)/p))/(p/(p/(p/((p/p**(-1/10))/p))))))**(6/13) assuming p is positive. p**(-779/195) Simplify ((n*n*(((n/(n**(-2/13)/n))/n)/n)/n*n)**(1/13))**(-6/19)/(n*n**(-2/5)*n**(-5)*n**4*n**(-6)*n) assuming n is positive. n**(85857/16055) Simplify (s**4/(s/(s*s/s**0)))/(s**2)**(-23/5)*(s*s/s**(-1)*s*s*(s**(-2/19)*s)/s)/(s**0*s*s**5*s*s) assuming s is positive. s**(1054/95) Simplify ((l**(6/13)/l**(-2/17))/((l*l**(2/19))/l*l**(-12)/l))**(-7/5) assuming l is positive. l**(-396039/20995) Simplify (j*j**(6/11)*j)**(-1/18)*((((j*j**20)/j)/j)/j)/(j**28*j) assuming j is positive. j**(-1103/99) Simplify (j*j/j**(2/11)*j*j**4*((j/j**(1/5))/j)/(j*j*j**(-2/5)/j))/(j*j/j**(3/4)*j*j*(j/(j**(-2/7)/j*j))/j)**(-35) assuming j is positive. j**(28549/220) Simplify ((f/f**(-3/2)*f/(f*f**(-1/6)))/((f**(-1/3)/f*f)/f**(-3)))/((((f/(f**(-1)*f))/f*f)/f*f**6)/((f/f**(-3)*f*f)/f**(-2/5))) assuming f is positive. f**(2/5) Simplify (z**(-1)/(z*z**(-2/5)))**(3/10)*(z**4*z*z**5)**(27/5) assuming z is positive. z**(1338/25) Simplify ((b/b**(-4))/(b*b**(-4)))**(-9)*((b/b**(4/3))/b)/(b*b/b**(-1/2))*b**(-4)/b*b*b**1 assuming b is positive. b**(-473/6) Simplify ((u/u**(2/5))/u**(2/15))/(u**(-1/3))**(-2/29)*(u/u**(-2/25)*((u/(u*u/u**0*u)*u)/u)/u)**(1/6) assuming u is positive. u**(269/2175) Simplify (q**(1/4)/(q/q**(4/7)))**28/((q**(-1)/q)/((q**(-2/23)/q)/q)*q**4/q*(((q*q**(-5)*q*q)/q)/q*q)/q*q*q*q) assuming q is positive. q**(-163/23) Simplify (h**3/((h/(h*h**(3/4)))/h))/(h**(6/7)*h/(h**(-1/4)*h))*(h**(-2/13)*h*h**(-1/4))/(h**(-1/6)/h**(-1)) assuming h is positive. h**(3719/1092) Simplify (y**(5/3)/y*y/y**(-12)*(y/((y/y**0)/y))**(5/11))**(5/2) assuming y is positive. y**(1165/33) Simplify ((c**(-2/9)/c)**(-30/11)*c/c**(-38)*c**(2/9))**(9/4) assuming c is positive. c**(383/4) Simplify (p**7*p*p**(1/25))/(p**0/p*p)**46 assuming p is positive. p**(201/25) Simplify ((m**21/m*m**9)/(((m/(m*m*(((m/m**(-2))/m)/m)/m*m)*m)/m)/m)**35)**0 assuming m is positive. 1 Simplify (j**(1/4)*j*j)**(5/6)*(j/((j/(j/j**(-2/11))*j)/j))/j**(-4)*(((j*j**(1/3))/j)/j*(j*j**(2/9)/j)/j*j)/(j**(-3/7)*j**(1/4)) assuming j is positive. j**(37649/5544) Simplify g**0/(g**(-8)*g)*(g/g**1*g)/(g*g**(4/3))*g**(-2/13)*g/(g*g**7)*(g/((g*g*g/(g*g**(-3)))/g))/g*g/(g*g/g**(2/15)) assuming g is positive. g**(-413/65) Simplify (f**(-27))**32*f**(16/3)*f*f/(f*f*f**(-2/45)/f*f) assuming f is positive. f**(-38638/45) Simplify ((h/h**(1/4)*(((h*h/(h*h*h/(h**5/h)*h))/h)/h*h*h)/h)/((h*h**(2/3))/h)**(-2/23))/((h**0)**(-10/11)*h**7*h/h**(1/2)) assuming h is positive. h**(-1571/276) Simplify ((d**(2/5))**18)**(24/7)*((d*d**(-7))/d**8)**(-46) assuming d is positive. d**(23404/35) Simplify (((j*j/(j**(2/57)*j))/j*(j/j**(2/117)*j)/j)/(j**(-2/17)/(j*(j**(2/5)*j)/j)))**(2/81) assuming j is positive. j**(931724/15305355) Simplify ((b*b/(b/b**0)*b)**15)**8*(b**0)**4/((b/b**2)/((b**(1/3)*b)/b)) assuming b is positive. b**(724/3) Simplify (o**(-1/3)*(o/(o**(-2/9)*o))/o*o**(1/2)/((o/o**(2/7))/o))/((o**(1/2))**(3/13))**(-20/3) assuming o is positive. o**(727/1638) Simplify ((s/s**(1/14)*s*s*s*s**(-20))/(s/s**(3/2))**31)**1 assuming s is positive. s**(-4/7) Simplify ((r*r/(r/(r*r**5)*r)*r**3*r**(-2/15)*r**5/r)**(-35))**19 assuming r is positive. r**(-25669/3) Simplify (w**(-1/6)/w**(-4)*w**(1/4)*w*w**(-6))/((w**1*w)**31*(w**(2/5))**(-3/5)) assuming w is positive. w**(-18803/300) Simplify (q/(q**(-6)/q)*(q**(4/9)*q)/q)**46/((q**2)**(-14))**(-2/45) assuming q is positive. q**(1936/5) Simplify (z**(-8)*z**7*z*z**(-1/5)*z**4*z)/((z**2)**(-2/17)*(z*z**2)**(2/47)) assuming z is positive. z**(19606/3995) Simplify ((g**(-1/3))**49*(g**(-1/2))**(-8))/((g*g**(-2/5))**(-45)/(g**(-5)/g**0)) assuming g is positive. g**(29/3) Simplify (o**(-29)*o)**(-2)/((o/((o*(o**7*o)/o)/o))/(((o*o**(1/41))/o)/o*o)) assuming o is positive. o**(2543/41) Simplify (v**(2/15)*v*v*v**1*(v**(-3/7)*v)/(v*v/(v*v**(4/9))))/(v**(-2/5)*(v**1/v)/v*(v/v**(-1/3)*v*v)**(1/17)) assuming v is positive. v**(23311/5355) Simplify (((l*l**(-2))/(l*(l/(((l*l*l**2)/l)/l*l))/l))/(l**1)**22)/((l**(-1))**(-36)*l**1/(l*l**(-6)*l*l*l)) assuming l is positive. l**(-60) Simplify ((k**(-3/5)*k*k)**43*k**3/k*(k**5/k)/k)**24 assuming k is positive. k**(7824/5) Simplify ((t/t**(1/6))/t)/(t/(t/t**5))*t*t**(-1)*t*((t/t**(6/5)*t)/t)/t*((t/t**7)/(t**(-6)/t))**18 assuming t is positive. t**(379/30) Simplify (s/(s**(3/2)*s*s)*s*s/(s*s/(s**3/s)))/((s*s/s**1*s)/s)**(-28)*(s*s**6*s*s*s**(2/9)*s)**(2/21) assuming s is positive. s**(10763/378) Simplify l**(-8)/l**(1/4)*(l/l**2)**(1/8)*(l**0/l**(-7))/(l*l**(-5)*l*l/(l**(-6)/l)) assuming l is positive. l**(-51/8) Simplify (k*k**(-1/2)*k*k)**2*(k**(2/7))**(-2/141)*(k**(-3/7)*k)/k**(2/31)*(k**(-2))**(10/7) assuming k is positive. k**(80951/30597) Simplify (i**(-2))**(-29)/(i*i*i**2)**(-1/14)*(i*i**(1/5)*(i/(i/(i**(2/15)*i)))/i)/(i/i**(-2/29)*(i*i**(-3/8))/i) assuming i is positive. i**(287083/4872) Simplify (((g*(g**(1/19)/g*g)/g)/(g/g**(-28/5)))**10)**(-25) assuming g is positive. g**(31100/19) Simplify ((l*l/(((l*l**7*l)/l)/l))**(-7/4)/(l*l**9*(l*l**11)/l*l))**21 assuming l is positive. l**(-1113/4) Simplify q**(-6)*q**(-1/3)*q**(-2/5)*q**(-4/5)*(q**(-6)/(q*(q/q**(-8/7))/q))/(((q/((q*q**5)/q))/q)/q**(-1/11)) assuming q is positive. q**(-12436/1155) Simplify ((w*w**(2/5))**(-9/11)/((w**(-4)*w*w*w)/w**0))/(((w*w/w**(4/5))/w**6)/((w*w**1)/w)**43) assuming w is positive. w**(2621/55) Simplify (((r*r*r**(8/9))/r)**44/(r/r**(-1/14)*r*r**(-6)))**8 assuming r is positive. r**(43868/63) Simplify h/(h*h*h/(((h*h/(h/((h*h**(-1/4)*h*h)/h))*h)/h)/h))*h**(-8)*(h**(-1/4)/h)**(-27/2)*(h**1)**30/(h**(-1)*h**(-4)*h) assuming h is positive. h**(341/8) Simplify ((h**(1/2))**(-2/59)*(h*h/(h*(h*h*h**(2/7)*h)/h))/(h*h/h**(-4)))/(((h/(h*h**(-1/4)*h))/(h/h**(-4)))/(h**(-1/4)*h*h/h**1)) assuming h is positive. h**(-663/826) Simplify ((q/(q/q**(-2)))/(q**(-1)*q))/((q/(q*q*q**(-1)*q))/q**2)*((q/(q/q**(-1/4)))/q**(-4))/((q*q**4)/(q*q**(-1/4))) assuming q is positive. sqrt(q) Simplify ((p*p*p*p/(p**(2/9)*p)*p)**47/(p/((p*p*p**(-2))/p*p)*p/p**4))/((p*p**1)**(-3/13))**1 assuming p is positive. p**(21062/117) Simplify ((i**(-1/2)/i)**(-4/7)/(i**(-6)*i**(-4)))/(i/(i/i**(3/2))*i*i**1)**29 assuming i is positive. i**(-1269/14) Simplify (s**(-4/11)/(s*s*s*s*s**0*s*s)*s**(-3/8)/(s*s/((s/s**4)/s*s)))/((s/s**(-2))**(2/89))**26 assuming s is positive. s**(-105665/7832) Simplify (f/((f*f*f/(f*f**1)*f)/f))**(-24/5)*(f**0*f)**(-18)*f**(2/5)/((f/f**(1/6))/f)*f/(f*f**(-5))*f/(f**(4/7)/f) assuming f is positive. f**(-2311/210) Simplify (m**(2/5)/((m*m/m**(-4))/m))**(3/5)*(m*m**(1/2)*m)**(9/4)*(m*m/m**7)/(m/(m*m**(-3))) assuming m is positive. m**(-1027/200) Simplify ((z**5*z)**(-6/25)/(z**(-2/9)*z*z**(-9)/z))**(10/3) assuming z is positive. z**(3502/135) Simplify (g*((g/(g**(-2/15)/g))/g)/g*(g/g**6*g)/g*g)**(7/11)/((g**(-1)*g)**(-48)*(g**0)**42) assuming g is positive. g**(-301/165) Simplify q**6/((q**6/q)/q)*q**(-1/2)/q**3*((q*q**(-1/10))/q**(-6))/(q*q**(-4)*q*q/(q/(q*q/(q**(-3/5)/q))*q)) assuming q is positive. q**(24/5) Simplify h**(-34)*h*h**(-2/57)*h*h*(h/h**(-1/22))**(-17) assuming h is positive. h**(-61205/1254) Simplify ((y**(-2)/y)**(-15/8)*y**1/y**(1/5))/((y
{ "pile_set_name": "DM Mathematics" }
thousands digit of o? 2 Suppose 2*c - 3 = 5. Suppose -d = -5*l - 140, -2*d + c*d - 3*l = 294. What is the units digit of d? 0 Suppose -4*d - 13 - 3 = 0. Let l(n) = -n + 1. Let j be l(d). Suppose 71 = j*k - 9. What is the units digit of k? 6 Let t be (-2 + 2 - -1) + -4 + 8. Suppose l + 3*j + 377 = 5*l, -169 = -2*l - t*j. What is the units digit of l? 2 Let b(y) = 7*y + 43. What is the units digit of b(8)? 9 Let l = 425 - -1342. What is the tens digit of l? 6 Suppose 8*f + 1 = 33. Suppose 4*x + 1219 = 5*n, 5*n + 0*n - 1211 = -f*x. What is the tens digit of n? 4 Suppose -s + 5*d = -5, 4*s - d = 51 + 26. Let v = s + -15. Suppose 5*r + 16 + 4 = i, 3*r = -v*i + 100. What is the units digit of i? 0 Let a(c) = -c**3 + 7*c**2 + 6*c - 4. Let p(s) = -s**3 - 2*s**2 + s - 1. Let y be p(-3). What is the tens digit of a(y)? 7 Suppose 3*i = 2*t + 2*i - 3, -5*t = -3*i - 7. Suppose t*s + 6 = 14. Suppose -4*d + 33 - 113 = -2*b, 0 = -s*b + 2*d + 130. What is the units digit of b? 0 Let p be (-4)/(-40)*5 - 3/(-2). Suppose 0 = -p*l + 2*v + 14 - 0, 0 = v - 5. What is the tens digit of l? 1 Let u(c) = c**3 - 7*c**2 + 4. Let o be u(7). Suppose -o*i + 195 = i. Suppose 33 = 4*b - i. What is the units digit of b? 8 Let l = 66 - 35. Let g = -18 + l. What is the units digit of g? 3 Suppose -1620 = -23*y + 3601. What is the units digit of y? 7 Let s(c) = -c**3 + 5*c**2 + 7*c + 4. Let b be s(6). Let j = 13 - -6. Let p = j - b. What is the units digit of p? 9 Let b(i) = 24*i**3 - 5*i**2 - 4*i + 3. What is the hundreds digit of b(5)? 8 Suppose -4*n + 5*n - 4*a = 2249, 4*n + 3*a = 9091. What is the units digit of n? 9 Suppose 3*h - 3 = -5*f, 2*f - 6*f - 4 = 4*h. What is the units digit of 19/((-1)/h*2)? 8 Let j(f) = -f**3 + 14*f**2 + 6*f + 11. Let i be 3 - (-2 + 3)/((-2)/22). What is the units digit of j(i)? 5 Let o = 26 + -60. Let d = o - -81. What is the tens digit of d? 4 Let r = 3937 + -1531. What is the tens digit of r? 0 Suppose 6 = 2*s - 2. Suppose s*q = 2*q + 4. Suppose q*j + 83 = 3*h, -2*j = 4*h - 0*h - 134. What is the tens digit of h? 3 What is the thousands digit of (19/(475/5670))/(2/10)? 1 Let a(t) = -t - 5. Let u be a(5). Let z = u + 10. Let o = z + 10. What is the units digit of o? 0 What is the units digit of (70/(-56))/(2/(-952))? 5 Let i(a) = -6*a**3 - 7*a**2 - 47*a - 4. What is the units digit of i(-5)? 6 Let a(p) = -p**3 - 5*p**2 + 8*p - 2. Let m be a(-7). Let n = m + 42. What is the units digit of n? 2 Let n(x) = -x**3 - x**2 - 2*x - 3. Let t be n(-2). Suppose t*q + 2 + 8 = 0. What is the units digit of (0 - q)*18/4? 9 Let n be (-2064)/(-12)*(-2)/(-4). Suppose 371 = 3*p + n. What is the units digit of p? 5 Suppose 0 = -3*i - 0*i + 48. Suppose -i = -4*y - 3*x, -4*x + 10 + 6 = 0. What is the tens digit of (8 - y)*(-1 - -8)? 4 Let o = -82 + 87. Suppose -o*s - 185 = -565. What is the tens digit of s? 7 Let x = -174 + 183. Let s(c) = 2*c**3 + 11*c**2 + 9*c - 4. Let o(w) = -3*w**3 - 21*w**2 - 18*w + 8. Let l(y) = 3*o(y) + 5*s(y). What is the units digit of l(x)? 4 Suppose -131 = -p + 5*w, -5*w + 86 = 4*p - 538. What is the units digit of p? 1 Let i(k) be the second derivative of -14*k - 1/20*k**5 - 2*k**2 + 0 - 5/12*k**4 - k**3. What is the units digit of i(-5)? 6 Suppose 3 = a - 1. Suppose a*h + 5*x - 6*x - 116 = 0, 44 = 2*h + 3*x. What is the tens digit of h? 2 What is the tens digit of 1193/((-3 + 7)/12*1)? 7 Suppose 1 = 2*j - 5, 5*i = j + 132. Let h = -15 - i. Let s = -23 - h. What is the units digit of s? 9 Let b(w) = -70*w - 72. What is the units digit of b(-10)? 8 What is the tens digit of ((-3101)/(-30) + (-14)/(-105))*6? 2 Let p(a) = -a**3 - 12*a - 9. Let n be p(6). Let h = n - -449. What is the tens digit of h? 5 Suppose -19842 = -5*z - h + 5*h, -3*z + 11902 = -4*h. What is the thousands digit of z? 3 Let s = 5 + -21. What is the units digit of (-42)/(3 - (-60)/s)? 6 Suppose 0*h + h + 3 = 0. Let c = -303 + 307. What is the units digit of (-42)/h - (4 - c)? 4 Suppose -q + k = -4, -q - 2*q = 3*k + 12. Let r(y) = 7*y**2 + y + 15. Let p(c) = c**2. Let o(g) = -6*p(g) + r(g). What is the units digit of o(q)? 5 Suppose 0 = -6*n + 10 + 2. What is the hundreds digit of (-35)/14 + 1/n + 125? 1 Let d(m) = 3*m + 14. Let l be d(-4). Suppose s - l*c = 27, -4*s + 108 = 5*c - c. What is the units digit of s? 7 Suppose 3910 = -0*d + 4*d - g, 2*d - 2*g = 1952. What is the units digit of d? 8 Let b = 855 + -476. What is the tens digit of b? 7 Let a(r) = -34*r - 4. Suppose n - 2*n - 2*w + 4 = 0, -10 = -n - 4*w. What is the tens digit of a(n)? 6 Let l(b) = 284*b - 56. What is the tens digit of l(2)? 1 Let p(f) = -4*f**3 + f**2 + f - 1. Let d be p(1). Let a be -1 + (-18*1)/d. Suppose -3*n + 2*k = -0*k - 114, -a*n + 185 = -5*k. What is the units digit of n? 0 Suppose 4*l + 0*l = 56. Let q = -180 - -192. Let a = l - q. What is the units digit of a? 2 Suppose 11*a = 9*a - 5*t + 2041, -4*a + 4107 = 5*t. What is the hundreds digit of a? 0 Let z be 1 + -4 - (-277 - 6). Suppose 2*d + 108 - z = 0. Let w = 148 - d. What is the units digit of w? 2 Suppose 5*r + 93 = 403. Suppose 3*f = 43 + r. What is the tens digit of f? 3 Let i(p) = -127*p**2 - 4*p + 3. Let m be i(1). Let t = m + 247. What is the units digit of t? 9 Suppose -6*h = -9*h + 69. Let f = -26 + h. What is the units digit of 3 + f/((-12)/200)? 3 Let r(w) = 3*w - 2. Let u be r(14). Suppose u = 2*c + b - 147, b - 1 = 0. What is the tens digit of c? 9 Let d be 4 + -4*(4 - 3). Suppose -4*m + d*m = -144. What is the tens digit of m? 3 What is the hundreds digit of (-7)/5 - (-190820)/175? 0 Let u(a) = -a - 3. Let s be u(-7). What is the tens digit of 1*-2 - (-280)/s? 6 Suppose 0*m - 2*m = 8. Let n be (11/m)/(3/(-132)). Suppose -5*t + n = o, 0*t + 5*t + 5*o = 105. What is the units digit of t? 5 Let q(f) be the third derivative of 1/24*f**4 + 5/2*f**3 - 4*f**2 + 0*f + 0. What is the units digit of q(-8)? 7 Let u = 1921 + -1172. Suppose -u - 582 = -11*t. What is the hundreds digit of t? 1 Let l(r) = -r**3 - 7*r**2 - 13*r - 12. Let v be l(-5). Suppose 347 = 5*n - y, -v*y + 76 = n - y. What is the units digit of n? 0 Let q(m) be the second derivative of -8*m**3/3 - m**2/2 - 5*m. Let v be q(-2). Suppose -4*p = -v - 109. What is the units digit of p? 5 What is the hundreds digit of 441 + -29 + 1 + -9? 4 Let n = 507 + -267. Suppose 28*d + n = 33*d. What is the units digit of d? 8 Let v = -142 - -204. Let j = 128 - v. What is the units digit of j? 6 Suppose 0 = -5*n + 5, -5*n - 84 - 40 = 3*o. Let r = o + 75. What is the units digit of r? 2 Let r = 8 - -132. What is the units digit of r? 0 Let f = 406 - 9. What is the units digit of f? 7 Let l be 3*(-1)/((-3)/2). Let b be ((-18)/(-10))/((-6)/(-20)) + -1. Suppose -l*k = 0, -b*g + 4*k + 25 = -95. What is the tens digit of g? 2 Let q(g) = g**2 - 5*g + 7. Let v be q(7). Suppose -2*j + r + 2*r = -v, 3*j + 3*r - 9 = 0. Suppose -j*y + 324 = -0*y. What is the units digit of y? 4 Let l be -3 + 1/1 - 11. Let w = 13 + l. What is the tens digit of (-25)/(w - (0 - -1))? 2 Suppose -4*w = -n + 846, 4*w + 0*w + 4166 = 5*n. What is the hundreds digit of n? 8 Let f be 2 - 260/(-4) - 4. Let h = f + 11. What is the tens digit of h? 7 Let y(s) = 3*s**2 + 18*s - 207. What is the tens digit of y(16)? 4 Let z(u) = 6*u**2 - 30*u - 3. What is the units digit of z(7)? 1 Suppose 18*t + 11476 = 61570. What is the units digit of t? 3 Suppose -2672 - 16708 = -10*w. What is the thousands digit of w? 1 Suppose -w = 4*h + 13, -5*w - 11 = -h - 30. Suppose 16 = 2*q + 2*x, 8 = 2*q + x - w. Suppose q*s + 6 = 0, y + y = 5*s + 42. What is the tens digit of y? 1 Let j be 1 - 28*20/8. Let r = 111 + j. What is the tens digit of r? 4 Let c = -213 + 270. What is the units digit of c? 7 Suppose -3*b - 54 = 3*b. Let y be 2*((-1692)/8)/b. Let a = 74 - y. What is the units digit of a? 7 Let h(n) = -n**2 - 8*n - 8. Let m be h(-6). Suppose 6*g - 3*g - b - 12 = 0, 0 = -g - 3*b + m. What is the units digit of 10*1/5*g? 8 Let y(b) = -b**2 + 5*b - 1. Let t be y(2). Suppose -2*n = -119 - t. What is the units digit of n? 2 Let g = -553 - -754. What is the hundreds digit of g? 2 Suppose 0 = -2*s - 4*s - 132. What is the tens digit of 16841/121 + 4/s? 3 Let a be -8 + (-12)/(-3) - -244. Suppose -6*l + a = -l. What is the tens digit of l? 4
{ "pile_set_name": "DM Mathematics" }
14. 1150 -4 divided by -191715 4/191715 Calculate -20436 divided by 3406. -6 Divide 442152 by -69. -6408 What is 6 divided by -8195? -6/8195 Divide 82652 by 38. 41326/19 Divide -14 by 2508. -7/1254 What is 4284 divided by -1428? -3 Divide -1359875 by 473. -2875 Divide 491208 by 4. 122802 Calculate 282768 divided by 35346. 8 Calculate -4 divided by -28857. 4/28857 What is 252561 divided by 5? 252561/5 Divide -1313697 by 5687. -231 Calculate 1023533 divided by 1. 1023533 What is -257665 divided by 8885? -29 What is -468600 divided by 660? -710 What is 168336 divided by -72? -2338 Calculate 2369380 divided by -3505. -676 Calculate 4 divided by 363603. 4/363603 What is -11338698 divided by 2? -5669349 -285982 divided by 2 -142991 Calculate -195600 divided by -2608. 75 Divide -11 by 4287. -11/4287 Divide 2560 by -4. -640 Divide 2 by 1723539. 2/1723539 What is -289392 divided by 289392? -1 What is -3 divided by -1020? 1/340 Calculate -806355 divided by 45. -17919 Divide -124324 by -62162. 2 -29887158 divided by -6 4981193 Calculate -1079 divided by 380. -1079/380 Divide 242372 by -9322. -26 216 divided by -238 -108/119 1 divided by -54123 -1/54123 -16692 divided by -2782 6 Calculate -390203 divided by -19. 20537 -560081 divided by -1 560081 56508 divided by -277 -204 Divide -135600 by 5. -27120 What is 266520 divided by 88840? 3 Divide 45710 by -3265. -14 5 divided by -118100 -1/23620 What is -361 divided by -16? 361/16 Divide -448875 by -175. 2565 Calculate 60424 divided by 6. 30212/3 What is 4433431 divided by -3169? -1399 4 divided by -33977 -4/33977 Divide 45540 by -1012. -45 Calculate 2 divided by -31210. -1/15605 What is -1506978 divided by 297? -5074 Divide 1 by -65537. -1/65537 What is -204282 divided by -15714? 13 Calculate 984540 divided by -328180. -3 What is 7755 divided by 33? 235 Calculate 39990 divided by -465. -86 1106770 divided by 15811 70 Divide 2014308 by 54. 37302 What is -428 divided by 1947? -428/1947 10 divided by 737 10/737 What is -14 divided by -11669? 2/1667 1692 divided by -2 -846 What is -37 divided by -1098? 37/1098 Calculate -7265024 divided by -6. 3632512/3 What is 46 divided by 75134? 23/37567 74297 divided by -60 -74297/60 Calculate -167 divided by 356. -167/356 182743 divided by 182743 1 273 divided by -1474 -273/1474 Divide 51516 by -81. -636 What is 0 divided by -111422? 0 Calculate 5 divided by 127282. 5/127282 What is 5007 divided by -4? -5007/4 What is 11400 divided by 2280? 5 Divide -674 by -74. 337/37 What is 448875 divided by -945? -475 What is -10101 divided by -7? 1443 1 divided by -116 -1/116 What is 43920 divided by 6? 7320 Divide -119128 by 29782. -4 Calculate -8134 divided by -6. 4067/3 Divide -196 by 156. -49/39 Divide 148205 by 29641. 5 Calculate 152496 divided by -706. -216 Divide 977394 by -6. -162899 What is 382368 divided by 27312? 14 97071 divided by -1 -97071 Divide 1161 by -19. -1161/19 6 divided by -27328 -3/13664 Divide 1182019 by -1. -1182019 Calculate 4 divided by 3162. 2/1581 What is 54804 divided by -4? -13701 13355 divided by -4 -13355/4 Divide -69223 by 2233. -31 Calculate 34115 divided by -5. -6823 What is -488 divided by 3335? -488/3335 Calculate 287397 divided by -26127. -11 Calculate 408186 divided by 68031. 6 What is 540096 divided by -582? -928 Calculate 1 divided by -57020. -1/57020 What is -126 divided by -1256? 63/628 Divide -197064 by 11592. -17 What is 5 divided by -44324? -5/44324 What is -430 divided by -1? 430 What is 443520 divided by 6720? 66 Calculate -66359 divided by -66359. 1 Calculate 72 divided by -874. -36/437 What is -253555 divided by -14915? 17 Divide -7580 by 327. -7580/327 Calculate 1 divided by 78380. 1/78380 Divide -4 by 621791. -4/621791 Calculate -1358 divided by -11. 1358/11 Divide 3712704 by -2. -1856352 -129888 divided by -352 369 What is 30849 divided by -7? -4407 What is -17622 divided by 7? -17622/7 Divide 88 by -121. -8/11 Calculate 2 divided by -589792. -1/294896 Calculate 67 divided by -666. -67/666 Calculate 3 divided by 9484. 3/9484 Divide 65543 by 8. 65543/8 Divide -121270 by 181. -670 What is 4 divided by -63? -4/63 1 divided by -91418 -1/91418 -872 divided by -4826 436/2413 -12 divided by 20317 -12/20317 Calculate -15794 divided by 15794. -1 Calculate -65 divided by 12636. -5/972 What is 4132 divided by 4? 1033 Divide 25 by -8499. -25/8499 Divide -192 by 80. -12/5 Calculate 4 divided by 249663. 4/249663 -2430312 divided by 2 -1215156 Calculate 2 divided by -5041. -2/5041 Calculate 3 divided by -101350. -3/101350 Divide -3 by -124602. 1/41534 Divide 10 by 255043. 10/255043 What is 649590 divided by -21653? -30 Divide -354320 by -412. 860 Divide 140 by -78. -70/39 Calculate -22 divided by 3554. -11/1777 0 divided by -25898 0 Divide -527 by 1604. -527/1604 Divide 26145 by 16. 26145/16 -18600 divided by -6 3100 What is -1328598 divided by 442866? -3 0 divided by 28242 0 -914370 divided by 60958 -15 Divide 7119 by 339. 21 Calculate -123424 divided by -30856. 4 What is -70 divided by 2209? -70/2209 Calculate 3 divided by 339251. 3/339251 What is -636672 divided by 39792? -16 -125165 divided by -25033 5 Divide -7264 by -32. 227 Calculate 471 divided by -653. -471/653 -172560 divided by 4314 -40 Calculate 22627 divided by 90. 22627/90 Divide 110 by 5178. 55/2589 Calculate 17051 divided by 17. 1003 Divide 3783144 by -2264. -1671 Divide 162292 by 40573. 4 1775360 divided by 20 88768 Divide 4 by 599337. 4/599337 What is -4 divided by -205? 4/205 What is 6893 divided by 61? 113 Divide 1755 by -8. -1755/8 What is 154280 divided by 30856? 5 Calculate 466227 divided by 155409. 3 922 divided by 175 922/175 What is 2115712 divided by -32? -66116 What is 2915 divided by -91? -2915/91 Calculate -55 divided by -11946. 5/1086 Divide 169157 by -6. -169157/6 Calculate 4727373 divided by 1575791. 3 Divide 63 by -3653. -63/3653 Divide 146334 by 3. 48778 What is 172380 divided by 1? 172380 Calculate 429753 divided by 3. 143251 What is -2571116 divided by -4? 642779 Calculate 29380 divided by -2. -14690 Calculate 2908 divided by -2. -1454 What is 4594265 divided by -918853? -5 -4 divided by 70429 -4/70429 Calculate 1 divided by 1116. 1/1116 18 divided by 4910 9/2455 What is -40824 divided by 84? -486 Divide 162908 by 3. 162908/3 Calculate -49888 divided by 32. -1559 -20925 divided by 318 -6975/106 Calculate -623679 divided by 7. -89097 -14271 divided by -4 14271/4 -1748400 divided by 349680 -5 -7009 divided by 13 -7009/13 Calculate 3 divided by 309651. 1/103217 44 divided by -77008 -11/19252 Divide 17879 by 19. 941 116486 divided by 116486 1 Divide -484 by 137. -484/137 Calculate -36624 divided by -112. 327 Divide 181825 by 36365. 5 What is 646 divided by 15? 646/15 Calculate 1028952 divided by -85746. -12 Divide -6441689 by 241. -26729 Divide -158748 by -3. 52916 Calculate 5 divided by -11559. -5/11559 0 divided by -25401 0 -339 divided by -54 113/18 Divide -8100 by 60. -135 What is -4647224 divided by -2? 2323612 Calculate -5 divided by -44307. 5/44307 What is -393402 divided by 6? -65567 What is -544902 divided by -1? 544902 Calculate -190398 divided by 190398. -1 260 divided by -431 -260/431 Divide 451953 by 7929. 57 4 divided by -9469 -4/9469 Calculate -35 divided by 8167. -35/8167 Calculate -7070 divided by 505. -14 What is -10179 divided by -117? 87 What is -20512 divided by -20512? 1 What is -182 divided by 363? -182/363 What is -318 divided by -457? 318/457 Divide -53328 by -11. 4848 Divide -17934 by -1281. 14 Divide -1590645 by -106043. 15 -188340 divided by -47085 4 Calculate 637954 divided by -2738. -233 Divide -4842 by 27. -538/3 What is 202 divided by 189? 202/189 Divide 209 by -5. -209/5 -260445 divided by -15 17363 18416 divided by 9208 2 Divide -104289 by 4. -104289/4 Divide 8 by 12377. 8/12377 Calculate 909453 divided by 3. 303151 Divide -5 by 8429. -5/8429 Calculate 15964 divided by -1. -15964 What is 30382 divided by -15191? -2 What is 69955 divided by -13991? -5 -128538 divided by -111 1158 -16 divided by 26145 -16/26145 What is -6201 divided by 2? -6201/2 What is -2970 divided by -10? 297 -2 divided by 4256 -1/2128 Calculate 0 divided by -592. 0 What is -21663 divided by 87? -249 What is 701220 divided by 29? 24180 What is 0 divided by -3
{ "pile_set_name": "DM Mathematics" }
r? 7 What is the square root of 250 to the nearest integer? 16 What is 22425 to the power of 1/3, to the nearest integer? 28 What is 1256 to the power of 1/3, to the nearest integer? 11 What is the cube root of 35674 to the nearest integer? 33 What is 67060 to the power of 1/8, to the nearest integer? 4 What is the square root of 3976 to the nearest integer? 63 What is 9368 to the power of 1/2, to the nearest integer? 97 What is the third root of 1235 to the nearest integer? 11 What is the square root of 1678 to the nearest integer? 41 What is the cube root of 148434 to the nearest integer? 53 What is the cube root of 1833 to the nearest integer? 12 What is the fifth root of 75047 to the nearest integer? 9 What is the sixth root of 26396 to the nearest integer? 5 What is the fifth root of 426 to the nearest integer? 3 What is the square root of 17620 to the nearest integer? 133 What is the third root of 24069 to the nearest integer? 29 What is the seventh root of 540 to the nearest integer? 2 What is the eighth root of 2278 to the nearest integer? 3 What is the ninth root of 7512 to the nearest integer? 3 What is 3355 to the power of 1/8, to the nearest integer? 3 What is the third root of 1185 to the nearest integer? 11 What is 93031 to the power of 1/7, to the nearest integer? 5 What is the third root of 6148 to the nearest integer? 18 What is 20133 to the power of 1/6, to the nearest integer? 5 What is 27401 to the power of 1/2, to the nearest integer? 166 What is the square root of 17424 to the nearest integer? 132 What is the ninth root of 5839 to the nearest integer? 3 What is the eighth root of 26576 to the nearest integer? 4 What is the cube root of 25732 to the nearest integer? 30 What is the third root of 6538 to the nearest integer? 19 What is the third root of 3235 to the nearest integer? 15 What is 15652 to the power of 1/2, to the nearest integer? 125 What is 420 to the power of 1/2, to the nearest integer? 20 What is 9575 to the power of 1/6, to the nearest integer? 5 What is the fifth root of 2684 to the nearest integer? 5 What is 4252 to the power of 1/8, to the nearest integer? 3 What is the sixth root of 31937 to the nearest integer? 6 What is the eighth root of 3566 to the nearest integer? 3 What is 93735 to the power of 1/3, to the nearest integer? 45 What is 992 to the power of 1/4, to the nearest integer? 6 What is 77710 to the power of 1/3, to the nearest integer? 43 What is the third root of 869 to the nearest integer? 10 What is the eighth root of 131664 to the nearest integer? 4 What is the cube root of 3808 to the nearest integer? 16 What is 8263 to the power of 1/2, to the nearest integer? 91 What is the fifth root of 67021 to the nearest integer? 9 What is the square root of 3427 to the nearest integer? 59 What is 61727 to the power of 1/9, to the nearest integer? 3 What is the fourth root of 153340 to the nearest integer? 20 What is 7962 to the power of 1/6, to the nearest integer? 4 What is 10865 to the power of 1/9, to the nearest integer? 3 What is 24757 to the power of 1/8, to the nearest integer? 4 What is 118434 to the power of 1/3, to the nearest integer? 49 What is the cube root of 8796 to the nearest integer? 21 What is the third root of 3885 to the nearest integer? 16 What is 5961 to the power of 1/2, to the nearest integer? 77 What is 278 to the power of 1/3, to the nearest integer? 7 What is the square root of 78859 to the nearest integer? 281 What is 13602 to the power of 1/4, to the nearest integer? 11 What is the cube root of 15445 to the nearest integer? 25 What is the eighth root of 43133 to the nearest integer? 4 What is the cube root of 97237 to the nearest integer? 46 What is the third root of 1319 to the nearest integer? 11 What is 23102 to the power of 1/8, to the nearest integer? 4 What is the square root of 44257 to the nearest integer? 210 What is 9723 to the power of 1/2, to the nearest integer? 99 What is the cube root of 653 to the nearest integer? 9 What is the third root of 611 to the nearest integer? 8 What is 3744 to the power of 1/3, to the nearest integer? 16 What is the third root of 45065 to the nearest integer? 36 What is the fourth root of 12445 to the nearest integer? 11 What is the sixth root of 197 to the nearest integer? 2 What is 1435 to the power of 1/3, to the nearest integer? 11 What is the cube root of 7212 to the nearest integer? 19 What is the seventh root of 9743 to the nearest integer? 4 What is 5732 to the power of 1/6, to the nearest integer? 4 What is 10647 to the power of 1/3, to the nearest integer? 22 What is the square root of 27632 to the nearest integer? 166 What is the square root of 9873 to the nearest integer? 99 What is 3810 to the power of 1/2, to the nearest integer? 62 What is 697 to the power of 1/7, to the nearest integer? 3 What is the square root of 990 to the nearest integer? 31 What is the third root of 2740 to the nearest integer? 14 What is the ninth root of 2268 to the nearest integer? 2 What is the third root of 2870 to the nearest integer? 14 What is 774 to the power of 1/8, to the nearest integer? 2 What is 35266 to the power of 1/2, to the nearest integer? 188 What is 10939 to the power of 1/7, to the nearest integer? 4 What is the seventh root of 1748 to the nearest integer? 3 What is 3762 to the power of 1/2, to the nearest integer? 61 What is 55816 to the power of 1/7, to the nearest integer? 5 What is 19898 to the power of 1/8, to the nearest integer? 3 What is the cube root of 489 to the nearest integer? 8 What is 37240 to the power of 1/6, to the nearest integer? 6 What is the square root of 2359 to the nearest integer? 49 What is the square root of 2485 to the nearest integer? 50 What is the square root of 10074 to the nearest integer? 100 What is 39109 to the power of 1/2, to the nearest integer? 198 What is the ninth root of 75002 to the nearest integer? 3 What is the cube root of 20133 to the nearest integer? 27 What is 15 to the power of 1/9, to the nearest integer? 1 What is 27107 to the power of 1/2, to the nearest integer? 165 What is the fifth root of 26480 to the nearest integer? 8 What is 1109 to the power of 1/3, to the nearest integer? 10 What is the square root of 45697 to the nearest integer? 214 What is 9370 to the power of 1/3, to the nearest integer? 21 What is the third root of 19555 to the nearest integer? 27 What is the square root of 18554 to the nearest integer? 136 What is 2244 to the power of 1/6, to the nearest integer? 4 What is 14478 to the power of 1/3, to the nearest integer? 24 What is 406 to the power of 1/8, to the nearest integer? 2 What is 855 to the power of 1/8, to the nearest integer? 2 What is 6304 to the power of 1/2, to the nearest integer? 79 What is the ninth root of 502 to the nearest integer? 2 What is 2675 to the power of 1/2, to the nearest integer? 52 What is the tenth root of 3292 to the nearest integer? 2 What is 2375 to the power of 1/2, to the nearest integer? 49 What is 386 to the power of 1/2, to the nearest integer? 20 What is the square root of 13555 to the nearest integer? 116 What is the seventh root of 772 to the nearest integer? 3 What is 542 to the power of 1/3, to the nearest integer? 8 What is the cube root of 9786 to the nearest integer? 21 What is 4174 to the power of 1/3, to the nearest integer? 16 What is 1091 to the power of 1/2, to the nearest integer? 33 What is 3680 to the power of 1/2, to the nearest integer? 61 What is the third root of 133 to the nearest integer? 5 What is 5174 to the power of 1/5, to the nearest integer? 6 What is 2669 to the power of 1/8, to the nearest integer? 3 What is the fifth root of 1807 to the nearest integer? 4 What is 11662 to the power of 1/3, to the nearest integer? 23 What is the third root of 290 to the nearest integer? 7 What is the tenth root of 39066 to the nearest integer? 3 What is 1241 to the power of 1/6, to the nearest integer? 3 What is the cube root of 37007 to the nearest integer? 33 What is the fifth root of 4743 to the nearest integer? 5 What is 445 to the power of 1/7, to the nearest integer? 2 What is the square root of 10434 to the nearest integer? 102 What is the square root of 3514 to the nearest inte
{ "pile_set_name": "DM Mathematics" }
088? 8 What is the units digit of 10216? 6 What is the units digit of 906? 6 What is the units digit of 90948? 8 What is the hundred thousands digit of 100060? 1 What is the tens digit of 7580? 8 What is the tens digit of 732? 3 What is the thousands digit of 40239? 0 What is the thousands digit of 2352? 2 What is the ten thousands digit of 14985? 1 What is the hundreds digit of 2935? 9 What is the hundreds digit of 1580? 5 What is the tens digit of 38561? 6 What is the tens digit of 2254? 5 What is the units digit of 86660? 0 What is the tens digit of 9438? 3 What is the hundreds digit of 6191? 1 What is the ten thousands digit of 183429? 8 What is the tens digit of 4425? 2 What is the units digit of 3438? 8 What is the ten thousands digit of 11309? 1 What is the units digit of 1256? 6 What is the thousands digit of 1015? 1 What is the units digit of 2001? 1 What is the units digit of 7775? 5 What is the units digit of 173? 3 What is the units digit of 19545? 5 What is the ten thousands digit of 12946? 1 What is the tens digit of 63613? 1 What is the tens digit of 43946? 4 What is the thousands digit of 2064? 2 What is the units digit of 1098? 8 What is the tens digit of 512? 1 What is the hundreds digit of 5895? 8 What is the thousands digit of 7891? 7 What is the hundreds digit of 16370? 3 What is the thousands digit of 4230? 4 What is the tens digit of 460? 6 What is the tens digit of 1370? 7 What is the ten thousands digit of 17461? 1 What is the units digit of 5136? 6 What is the tens digit of 220? 2 What is the thousands digit of 8357? 8 What is the hundred thousands digit of 164498? 1 What is the units digit of 4901? 1 What is the tens digit of 319? 1 What is the tens digit of 19607? 0 What is the thousands digit of 36980? 6 What is the units digit of 65758? 8 What is the hundreds digit of 9095? 0 What is the tens digit of 925? 2 What is the units digit of 15017? 7 What is the thousands digit of 4456? 4 What is the thousands digit of 12782? 2 What is the tens digit of 97863? 6 What is the tens digit of 326? 2 What is the hundreds digit of 3486? 4 What is the tens digit of 845? 4 What is the units digit of 14399? 9 What is the thousands digit of 63036? 3 What is the hundreds digit of 9134? 1 What is the thousands digit of 3162? 3 What is the units digit of 3668? 8 What is the units digit of 5064? 4 What is the tens digit of 696? 9 What is the hundreds digit of 3750? 7 What is the hundreds digit of 1641? 6 What is the tens digit of 5477? 7 What is the hundreds digit of 2477? 4 What is the hundreds digit of 103? 1 What is the units digit of 21497? 7 What is the ten thousands digit of 58219? 5 What is the ten thousands digit of 13149? 1 What is the hundreds digit of 6893? 8 What is the hundreds digit of 2295? 2 What is the units digit of 16815? 5 What is the hundreds digit of 350? 3 What is the tens digit of 641? 4 What is the hundreds digit of 6263? 2 What is the units digit of 2536? 6 What is the units digit of 3752? 2 What is the thousands digit of 25125? 5 What is the units digit of 3832? 2 What is the hundreds digit of 163? 1 What is the units digit of 16182? 2 What is the tens digit of 74307? 0 What is the tens digit of 4502? 0 What is the tens digit of 12354? 5 What is the thousands digit of 4229? 4 What is the thousands digit of 15150? 5 What is the units digit of 4406? 6 What is the units digit of 216? 6 What is the tens digit of 964? 6 What is the units digit of 787? 7 What is the hundreds digit of 18813? 8 What is the thousands digit of 134698? 4 What is the tens digit of 2596? 9 What is the units digit of 7942? 2 What is the tens digit of 686? 8 What is the hundreds digit of 184? 1 What is the hundred thousands digit of 154603? 1 What is the tens digit of 450? 5 What is the thousands digit of 2469? 2 What is the hundreds digit of 2606? 6 What is the thousands digit of 79716? 9 What is the hundreds digit of 574? 5 What is the thousands digit of 128367? 8 What is the units digit of 1537? 7 What is the units digit of 12539? 9 What is the hundreds digit of 2287? 2 What is the hundreds digit of 23615? 6 What is the hundreds digit of 7780? 7 What is the hundreds digit of 10384? 3 What is the tens digit of 121? 2 What is the thousands digit of 8658? 8 What is the units digit of 3794? 4 What is the units digit of 586? 6 What is the hundreds digit of 26696? 6 What is the units digit of 1872? 2 What is the thousands digit of 3652? 3 What is the thousands digit of 9434? 9 What is the ten thousands digit of 89677? 8 What is the units digit of 44? 4 What is the tens digit of 1171? 7 What is the units digit of 6537? 7 What is the thousands digit of 1236? 1 What is the units digit of 7334? 4 What is the hundreds digit of 3387? 3 What is the hundreds digit of 8815? 8 What is the hundreds digit of 3215? 2 What is the hundreds digit of 1499? 4 What is the thousands digit of 7468? 7 What is the tens digit of 1178? 7 What is the tens digit of 797? 9 What is the hundreds digit of 1808? 8 What is the hundreds digit of 23697? 6 What is the tens digit of 1778? 7 What is the tens digit of 16813? 1 What is the hundreds digit of 7809? 8 What is the tens digit of 10950? 5 What is the thousands digit of 71812? 1 What is the hundreds digit of 24504? 5 What is the hundreds digit of 472? 4 What is the tens digit of 109? 0 What is the thousands digit of 6742? 6 What is the tens digit of 9168? 6 What is the hundreds digit of 962? 9 What is the thousands digit of 73466? 3 What is the tens digit of 6493? 9 What is the units digit of 1083? 3 What is the hundreds digit of 15741? 7 What is the units digit of 9219? 9 What is the units digit of 18692? 2 What is the thousands digit of 25854? 5 What is the thousands digit of 32566? 2 What is the units digit of 262? 2 What is the tens digit of 1205? 0 What is the ten thousands digit of 13240? 1 What is the units digit of 3036? 6 What is the hundreds digit of 25040? 0 What is the hundreds digit of 237? 2 What is the hundreds digit of 89088? 0 What is the tens digit of 5446? 4 What is the tens digit of 12987? 8 What is the units digit of 41248? 8 What is the units digit of 1633? 3 What is the thousands digit of 18318? 8 What is the units digit of 911? 1 What is the hundreds digit of 874? 8 What is the hundreds digit of 2489? 4 What is the tens digit of 896? 9 What is the tens digit of 7401? 0 What is the tens digit of 59727? 2 What is the hundreds digit of 55142? 1 What is the tens digit of 1252? 5 What is the hundreds digit of 58731? 7 What is the ten thousands digit of 51395? 5 What is the hundreds digit of 27644? 6 What is the tens digit of 2416? 1 What is the ten thousands digit of 77712? 7 What is the tens digit of 3692? 9 What is the hundreds digit of 227? 2 What is the units digit of 603? 3 What is the units digit of 69731? 1 What is the hundreds digit of 3491? 4 What is the units digit of 59600? 0 What is the units digit of 86? 6 What is the ten thousands digit of 33579? 3 What is the units digit of 929? 9 What is the tens digit of 179597? 9 What is the hundreds digit of 1445? 4 What is the tens digit of 62387? 8 What is the units digit of 7223? 3 What is the hundreds digit of 664? 6 What is the thousands digit of 2715? 2 What is the thousands digit of 4809? 4 What is the tens digit of 3398? 9 What is the hundreds digit of 21941? 9 What is the hundreds digit of 940? 9 What is the units digit of 1749? 9 What is the units digit of 6292? 2 What is the ten thousands digit of 44529? 4 What is the units digit of 5803? 3 What is the thousands digit of 3515? 3 What is the thousands digit of 1679? 1 What is the hundreds digit of 44673? 6 What is the ten thousands digit of 74490? 7 What is the tens digit of 20259? 5 What is the units digit of 2681? 1 What is the thousands digit of 3940? 3 What is the hundreds digit of 40521? 5 What is the thousands digit of 5438? 5 What is the units digit of 15895? 5 What is the hundreds digit of 36388? 3 What is the ten thousands digit of 130349? 3 What is the thousands digit of 2125? 2 What is the units digit of 15945? 5 What is the thousands digit of 4831? 4 What is the tens digit of 1443? 4 What is the tens digit of 3996? 9 What is the tens digit of 2976? 7 What is the tens digit of
{ "pile_set_name": "DM Mathematics" }
- d + 12, -5*d + 24 = -a. Determine g(a). 2 Let g(p) = 10*p**3 - 8*p**2 + 14. Let q be -14*1/6*3. Let o(s) = 7*s**3 - 5*s**2 + 9. Let c(f) = q*o(f) + 5*g(f). Give c(5). 7 Let x(l) be the third derivative of l**5/60 - 7*l**4/24 + 7*l**3/6 - l**2. Suppose -k + 13 = -a, 5*k - 37 - 24 = a. Let m = 17 - k. What is x(m)? -3 Let c(z) = -z**3 - 8*z**2 - 7*z + 4. Let o be -14*(2/10)/((-6)/(-15)). What is c(o)? 4 Let x(d) be the third derivative of 0 + 0*d - 1/2*d**3 - 5/24*d**4 - 2*d**2 - 1/60*d**5. What is x(-5)? -3 Suppose 2*y + 2*y - 28 = 0. Suppose 2*w + 3 = y. Let s(o) = 9 - w*o**2 - o**3 - o - 2 - 2*o**2 + 7*o. Determine s(-5). 2 Suppose 0 = -2*n + w - 3, -4*n = -5*n + 5*w + 3. Let b(m) = m + 2 - 2*m**2 - 3*m + 3*m. Give b(n). -8 Suppose -c + 3*c = 6. Let n(s) = -s**c + 2*s**3 - s**2 + 2*s - 4*s - 4. Let j(t) = 2*t**2 + 2*t - 1. Let i be j(1). Determine n(i). 8 Let j be (-6)/39 - (-335)/65. Let c(w) = 4*w - 2*w - 3*w - 44 + 40. Give c(j). -9 Let w(z) = -z**2 + z - 7. Let d(f) = -2*f**2 + 2*f - 14. Let o be (-12)/(-10)*10/4. Let h(g) = o*d(g) - 5*w(g). What is h(0)? -7 Let m(g) be the second derivative of g**3/3 + g**2/2 + 2*g. Let h(j) = 4*j + 2. Let o(b) = 3*h(b) - 7*m(b). Suppose 5*c - 17 = 3. Calculate o(c). -9 Let m(r) = r - 4. Suppose n - u = -n - 20, u - 29 = 3*n. Let s = -4 - n. Calculate m(s). 1 Let s(x) = 8*x**2 + 18*x - 8. Let h(w) = 3*w**2 + 6*w - 3. Let l(a) = 11*h(a) - 4*s(a). Let g be 1*(3 + 0)/3. Suppose 0 = 5*z - 29 - g. Give l(z). -1 Let a(y) be the second derivative of 2*y**3/3 + 33*y. Give a(-5). -20 Let c(w) = w**3 + w**2 + 1. Let a be 7/21 + (-5)/(-3). Let g(p) = -8*p + 3*p**3 - 3*p**a - 9*p**2 - 10 - 9*p**3. Let d(x) = -5*c(x) - g(x). What is d(-6)? -7 Suppose g - 4*t + 4 = 5*g, -19 = -5*g + 2*t. Let p(m) = -2*m**3 - 2*m**g + 5*m**3 + 3 - 4*m - 2*m**2. Let y be (30/(-20))/(1/(-2)). What is p(y)? 0 Let o(x) = -x**3 + 4*x**2 - x - 3. Let q = -3 + 6. Suppose -z + 2 = -j, -6*j + 18 = 5*z - q*j. Let a = 0 + z. Determine o(a). 3 Let p be 9*(-3)/9*1. Let y = p + 7. Let k(r) = 2*r. Calculate k(y). 8 Let r(z) = z**2 + 3*z + 5. Let q(y) = y**2 - y. Let d(b) = -2*q(b) + r(b). Let t(h) = h - 10. Let o be t(11). Let w be (-4)/(-8)*o*12. What is d(w)? -1 Let r(c) = -c. Let s(x) = -x + 2. Let d(b) = -b - 1. Let p(l) = -3*d(l) - s(l). Let y(g) = -p(g) - 3*r(g). Determine y(-4). 3 Let h(d) = -d**2 - 2*d + 1. Suppose 0 = -4*s + 6 - 14. What is h(s)? 1 Suppose -5*l + l = 0. Let i = -2 + 4. Let a(x) = -x - 2*x**2 + 0*x**2 + 6*x**i + l*x - x**3. Give a(3). 6 Let p(z) be the first derivative of -2*z**2 - z - 1. Give p(1). -5 Let i be (-21)/4 + (-3)/(-12). Let g(h) be the second derivative of 6*h + 0 + 5/2*h**2 + 1/6*h**3. Give g(i). 0 Let c(r) = -2*r**2 + 7 - 3 - 2 + r**2. What is c(2)? -2 Let f(c) = -c**3 + 8*c**2 - 11*c + 8. Let m(x) = -3*x**3 + 17*x**2 - 23*x + 15. Let r(v) = -5*f(v) + 2*m(v). What is r(-7)? -24 Let r(g) = -13*g - 6*g**2 + g**3 - 15 - 27 + 23 - 7*g**2. What is r(14)? -5 Let j(x) = 0*x + 12 + 8 + 2*x - 16. Calculate j(-5). -6 Let u be (-39)/(-3)*(-2 + 1). Let i = u + 7. Let x(h) = -4 + 0 - 4 - 2*h. What is x(i)? 4 Let t(c) = -8*c**3 + c**2. Suppose -7*o = -2*o + 30. Let m(i) = -i**3 - 6*i**2 + i + 5. Let u be m(o). Determine t(u). 9 Let h(s) = 0 + 1 - 1 + 1 + 5*s. Let r = 1 + -2. What is h(r)? -4 Let u be 36/10 + (2 - (-78)/(-30)). Let b(x) = 3*x + 1. Let z(n) = -6*n - 3. Let o(m) = -9*b(m) - 4*z(m). What is o(u)? -6 Let n = -1 - -4. Suppose 0*u + 10 = 5*u. Let c(v) = 1 + u + 4*v - n*v. What is c(4)? 7 Let y = 4 - 9. Let w(d) = 4*d + 7. Let g(s) = -5*s - 8. Let c(v) = y*g(v) - 6*w(v). Calculate c(3). 1 Suppose -5 = 4*w - 13, 4*s - 4*w - 8 = 0. Let r(z) = -z**2 + 3*z + 3. Determine r(s). -1 Let t = -7 + 20. Suppose -t = -3*w - 1. Let d(c) = -c - 10*c + 2*c**3 + 6*c - c**3 - w*c**2. Calculate d(5). 0 Let o(q) = -q**3 - 5*q**2 + 7*q + 5. Suppose -a + 0*a = 6. Calculate o(a). -1 Suppose 5*j + 3*o - 45 = 0, 3*j - 8 = o + o. Let t(x) = -4*x - 13. Let g(m) = -2*m - 7. Let u(s) = -7*g(s) + 4*t(s). Determine u(j). -15 Let u(y) = -y**3 - 11*y**2 + 12*y + 2. Let r(d) = -d**3 + d + 1. Let g(n) = -2*r(n) + u(n). Give g(10). 0 Let q(i) = -2*i**3 + 2*i**2 + 2 - 5*i + 3*i**3 - 5. Let u be (-2)/((-28)/8 + 4). Let b(s) = -s**2 - 2*s + 5. Let n be b(u). Give q(n). 3 Suppose 3*f + 20 - 53 = 0. Let b = 11 - f. Let r(q) = q - 11. Give r(b). -11 Let m = -3 - 2. Let q be ((-12)/(-10))/((-2)/m). Let u(x) = -x**2 - x + 2. Determine u(q). -10 Let b(m) = -4*m**2 - 4*m - 2. Let c(g) = -g**2 - g - 1. Let q = -5 + 6. Let x(r) = q*b(r) - 3*c(r). Give x(-3). -5 Let f(u) = -u + 6. Let c = 9 + -5. Suppose 0 = c*q + 2*l - 28, 0 = -2*q - 2*l + 18. Let z = 5 - q. What is f(z)? 6 Let n(o) = -o**2 + 2*o - 7. Let t(d) = d**2 + d. Let h(v) = -n(v) - 2*t(v). Let a(z) = -6*z + 1. Let q be a(1). Determine h(q). 2 Suppose 0 = -5*z - 0 - 10. Let v(b) = 3*b**2 + 2*b - 2. What is v(z)? 6 Let f = 5 + -2. Let d(u) be the second derivative of -u**8/6720 + u**7/1260 + u**6/240 - u**4/4 + u. Let c(k) be the third derivative of d(k). Determine c(f). 0 Let p(i) = 2*i**2 - 4*i - 1. Let j be p(3). Suppose 3*c - j = 7. Let n(f) = c*f**2 + 3*f**3 - 4*f**3 + 8*f - 2*f - 3 - 2. What is n(5)? 0 Let w(c) be the third derivative of c**5/60 - 7*c**4/24 + c**3 - 47*c**2. What is w(6)? 0 Let r(w) = -15*w**3 + 18*w**2 - 16*w + 13. Let k(s) = 7*s**3 - 9*s**2 + 8*s - 6. Let y(j) = -13*k(j) - 6*r(j). Calculate y(8). 0 Let x be 4 + -6 + 4 + -4. Let s(c) = -2*c**2 - 2*c + 2. Calculate s(x). -2 Let j(r) = -r**2 - 2*r + 3. Suppose 2*w = 8, -3*w = t + t - 16. Calculate j(t). -5 Let y(c) = c + 3. Let o(a) = 6*a**3 - a**2 + a - 1. Let l be o(1). Let i be (-38)/4*(3 - l). Suppose v + 0 + 1 = -5*b, 0 = -5*v - b + i. What is y(v)? 7 Let u(p) be the third derivative of -p**5/60 + p**4/24 - 58*p**2. What is u(3)? -6 Let q(l) = -l**3 - 5*l**2 - 3*l + 3. Let u be 3/(-3) + 1*-3. Determine q(u). -1 Suppose -7 = 2*s - s + 3*j, 3*s + 3*j = 3. Let o(k) be the second derivative of 3/20*k**s - 1/2*k**2 + 4*k - 1/12*k**4 - 1/6*k**3 + 0. What is o(-1)? -4 Let r(j) = j**2 - j - 1. Let x be 2*(-6)/4 - -7. Give r(x). 11 Let d(g) = -7*g**3 + 2*g**2 - g. Let a(h) be the first derivative of -h**2 + h + 4. Let y be a(-3). Let i = 8 - y. Determine d(i). -6 Suppose 6 + 69 = 5*s. Suppose -2*h + 7*h = -s. Let n(t) = t - 3. Let r(i) = -i + 3. Let j(q) = -3*n(q) - 4*r(q). What is j(h)? -6 Suppose 2*m - 4*y - 10 = 0, -3*m - 4*y - 21 = -y. Suppose -5*p + 10*p = 0. Let v(f) = p + 4 - 2*f - f**2 + 0. Determine v(m). 1 Let y(i) be the first derivative of -i**4/4 - 2*i**3/3 + 3*i**2/2 - 4*i - 6. Let b be 5/(-1) + 6/3. Calculate y(b). -4 Let c(h) = 6*h**3 + h**2 - h - 1. Suppose -10*m + 7*m = 3. Give c(m). -5 Let c be (-36)/8*2/(-3). Let y(a) = -a**2 + a + 4. Give y(c). -2 Let k(i) be the first derivative of i**4/4 - 4*i**3/3 + 3*i - 2. Let d be (-1)/(((-8)/(-2))/(-16)). Determine k(d). 3 Let o = 1 - 5. Let k(q) = q**2 + 4*q + 1. Let z be k(o). Suppose -a + 2*a = z. Let f(p) = 7*p**3 - 1. Calculate f(a). 6 Let h(s) be the first derivative of -2*s**2 + 2*s + 1. Suppose 0 = -2*q + 2*c - 10, -3*q + 5*c = -2*q + 21. Let x be q/(1/2*-1). Calculate h(x). -6 Let q(m) be the first derivative of -m**2/2 - m - 8. Calculate q(9). -10 Suppose -5*b + 55 - 17 = -2*r, -r = -b + 10. Let p(s) = 3*s - 3. What is p(b)? 15 Let h(t) = -3*t**2 - 4*t - 5. Let r(s) = -4*s**2 - 3*s - 6. Let i(x) = 3*h(x) - 2*r(x). Suppose 2*k - 3 = 1. Suppose -k*a - 10 = 3*a. Calculate i(a). 5 Let t(b) = 1 + 10 + 6*b - 3 - 5. Calculate t(-2). -9 Let b(z) be the second derivative of -z**4/12 - z**3 - 2*z**2 - 7*z. Determine b(-5). 1 Suppose 3*f + 4 + 17 = 0. Let y(n) = -10*n**3 + 11*n**3 - 2 + 8*n**2 + 9*n - 2*n. Give y(f). -2 Let f(o) = -o**2 - 6*o - 1. Let z(m) be the second derivative of m**4/12 - m**3/6 + m. Let y be z(-2). Suppose -4*a + 5*a + y = 0. Give f(a). -1 Let y(w) be the third derivative of w**6/120 - w**5/60 - w**4/24 - w**3/3 - 7*w**2. Calculate y(2). 0 Let d = -27 - -29. Let f(p) = 2*p**2 - 3*p + 1. What is f(d)? 3 Let y(l) = -l**2 - 6*l - 5. Suppose -5*a = 7*a + 36. Determine y(a). 4 Let l(d) = -3 - d + 0*d + 0. Let h be (1/3)/((-4)/(-24)). Let t be ((-2)/(-1))/h + -5. What is l(t)? 1 Let s be (8/(-12))/((-2)/6). Suppose -8 = s*g, 5 = 4*h - 3*g + 1. Let u(i) =
{ "pile_set_name": "DM Mathematics" }
. Let a(w) = w**3 - w**2 - 3*w + 2. Calculate a(i). 0 Let k(b) = -99*b - 61. Let u(a) = -84*a - 59. Let z(j) = 6*k(j) - 7*u(j). What is z(7)? 5 Let w(f) be the second derivative of f**3/2 - f**2/2 - 2*f. Let l(i) = i**3 - 3*i**2 + 14*i - 56. Let h be l(4). Suppose h*y - 5 = 27. Calculate w(y). 5 Let z(r) = -254*r + 91. Let o(y) = -204*y + 93. Let b(k) = -5*o(k) + 4*z(k). Give b(14). -45 Suppose -2331*l = -2*t - 2336*l - 21, -20 = 4*l. Let u(n) be the first derivative of -1/3*n**3 + 44 + 2*n + t*n**2. Give u(3). 5 Let m = -18 + 42. Suppose -m + 8 = -4*y. Suppose 0 = -y*u + 9 + 11. Let f(c) = 2*c + 1. Determine f(u). 11 Let p(n) be the second derivative of 4*n**3/3 - 19*n**2 + 24*n. Let b be p(6). Let j(h) = b*h + 5 + 8*h + 10*h - 27*h. What is j(-10)? -5 Let p(u) = 2*u**3 + 29*u**2 - 5*u + 19. Let j(n) = n**3 + 13*n**2 - 2*n + 10. Let r(t) = 5*j(t) - 2*p(t). What is r(-5)? 62 Suppose 3*t + 3*w + 0*w = -3, 0 = -3*t - 2*w + 2. Let u(b) = 27*b**2 + 8*b + 1. Let k(o) = -o**2 - 2*o. Let x(m) = t*k(m) + u(m). Give x(1). 24 Let l(c) = 3*c - 16. Let r be l(6). Let n(k) = -3666 - k**2 + 2*k**r - k + 7334 - 3672. What is n(0)? -4 Let c(x) be the third derivative of -3*x**4/4 + 2*x**3/3 + 904*x**2. Determine c(2). -32 Let n(u) = u**2 + 13*u + 21. Let o(r) = -12*r - 181. Let y be o(-15). Let k be (-38)/38*(10 - y). Calculate n(k). -1 Let o(d) = -32*d + 7. Let b(m) = 45*m - 10. Let g(t) = -5*b(t) - 7*o(t). Let j be 6/(-21) + 16/7. Let s be (-54)/12*j/(-3). Give g(s). -2 Let o(c) be the third derivative of c**4/24 - 5*c**3/3 - 17*c**2 + 4. Calculate o(16). 6 Let y(p) = 1051*p**3 + p - 30 - 517*p**3 - 535*p**3. Calculate y(0). -30 Let d(t) = -10 + 4174*t - 12534*t + 4167*t + 4191*t. Let g = -26 - -17. Calculate d(g). 8 Let h(q) be the first derivative of q**3/3 - 4*q**2 + 6*q - 2792. Suppose 2*l = 4*l - 4. Suppose 2*w - 2*u = l, -3 + 4 = -2*w + 3*u. Calculate h(w). -10 Let h(g) be the third derivative of -g**4/8 + g**3 + 34699*g**2. Suppose -3*t = -r + 3, -4*r = -2*t - 27 + 5. Let j = -1 + r. Calculate h(j). -9 Let q(c) be the second derivative of -85*c - 1/12*c**4 + 5/3*c**3 + 0 - 9/2*c**2. Determine q(4). 15 Let d(n) = 17*n**2 + 7*n**2 - n**3 - 33*n**2 + 7 - 3*n + 13*n. Let g(p) = -23*p + 151. Let t be g(7). Calculate d(t). 7 Let b(o) be the third derivative of o**5/30 - 19*o**4/12 + 49*o**3/6 + o**2 + 1356*o. Determine b(17). -19 Let z(x) = -10*x - 2*x**2 + 0 - 2 + 15*x + x**3. Let m(b) = 89*b + 893. Let y be m(-10). Calculate z(y). 22 Suppose 534 = 2*j - 4*d + 5*d, -518 = -2*j - 5*d. Let b(w) = j*w**2 - w**3 - 3*w - 274*w**2 + 3 - 2. Give b(-4). -3 Suppose o - 41 = -4*w, -5*o = -5*w - 138 - 67. Let f(d) = d**3 - 43*d**2 + 81*d + 35. What is f(o)? -6 Suppose -4*v + 4*w + 20 = 0, 0 = 2*v + 4*w + 32 - 24. Let o be (-200)/(-16)*4/5. Let c(i) = o*i**2 + 17*i - 16*i - i**3 - 4*i**v. Determine c(6). 6 Let w(b) = -5*b**3 - b - 1. Let y = 40 + -36. Let o be 3/y - (1 - (-5)/(-20)). Suppose o = -7*j - 2*j - 9. Calculate w(j). 5 Suppose -13*f + 39 - 13 = 0. Let m(h) = f*h + 0*h + 3*h - 2 + 3. Determine m(2). 11 Let c(u) = -19*u - 135. Suppose r + 40 - 3 = -5*w, -22 = 4*r - w. What is c(r)? -2 Let l(t) = -t**3 - 17*t**2 + 2*t + 36. Let w(y) = -4*y**3 - 26*y**2 - 8*y + 7. Let k be w(-6). Determine l(k). 2 Let z(c) = 49*c**3 - 2*c**2 - 3*c + 2. Let o(a) = 2*a**3 + 24*a**2 + 54*a - 79. Let q be o(-8). What is z(q)? 46 Let c(j) = -7*j - 2. Let z(t) = -15*t - 2. Let s(f) = -9*c(f) + 4*z(f). Give s(-9). -17 Suppose 0 = f - 3. Let g(o) = 23*o + 9. Let v(q) = 25*q + 10. Let j(n) = 12*g(n) - 11*v(n). What is j(f)? 1 Let g(v) = -v**2 - 1. Let n(q) = 8*q - 7*q**2 + 15*q + 1 - 27*q. Suppose 9*k - 2*k = -42. Let l(y) = k*g(y) + n(y). What is l(-5)? 2 Let m(v) = 34*v - 6. Let x(p) = -11*p + 2. Let a(y) = m(y) + 3*x(y). What is a(-12)? -12 Suppose 5*t = 112 - 27. Let a = 13 - t. Let m(l) = -22*l**2 + 20 - 17 - 3*l + 21*l**2. Determine m(a). -1 Let m(s) = -7*s + 5. Let d(b) = -b**3 + 4*b**2 - b - 2. Let a be d(4). Let k(c) = 6*c - 2. Let v(w) = a*k(w) - 5*m(w). Determine v(-6). -7 Let b(c) = -1 + 28*c + 4 - 5. Let p be b(-2). Let v = p + 58. Let s(m) = m + 3. Give s(v). 3 Let a(k) = k + 2. Suppose 44 - 326 = 47*t. Calculate a(t). -4 Let c(n) = 75*n**3 - 62*n**2 - 9*n - 3. Let d(p) = 37*p**3 - 37*p**2 - 5*p - 2. Let l(b) = -3*c(b) + 5*d(b). Determine l(1). -38 Let c(w) be the second derivative of -3*w**4/4 - 2*w**3/3 - 5*w**2/2 - 2791*w. Give c(-2). -33 Suppose -5*s + 5 = 10*b - 5*b, -11 = -b + 4*s. Let j be ((4 + -4)/b)/1. Let u(q) = 3*q + 11. Determine u(j). 11 Let h be 0 + 21/49 + 6270/21. Suppose -307*p - 32 = -h*p. Let x(y) = -2*y**2 - 6*y. Calculate x(p). -8 Suppose -7*c = 2*z - 10*c + 19, c + 22 = -5*z. Let k(n) = n**3 + n**2 - 8*n - 12. What is k(z)? -72 Let m(d) = -5*d**2 + 7*d + 3. Suppose -3*x - 5*r - 8 = 0, 5*x - 36*r + 38*r + 7 = 0. Let j(q) = q**2 - 2*q. Let y(a) = x*m(a) - 4*j(a). Give y(0). -3 Let n(m) be the third derivative of m**5/30 + m**4/24 + m**3 - m**2 + 1231. Give n(-3). 21 Let m be (4/16)/(11/(-44)). Let x(j) = -2*j**3 - 8*j**2 - 5*j + 2. Determine x(m). 1 Let n(q) = -2*q**3 + 18*q**2 + 16*q + 51. Let w = -32290 + 32300. Give n(w). 11 Suppose 0 = -7*k + 15 - 15. Let v(c) = c + k*c - 65*c**2 + 0 + 66*c**2 - 1. Let x = -6 + 4. Determine v(x). 1 Let b(s) = -9*s - 1. Suppose -3*a - 56 = -y, 28*y - 30*y = 2*a - 80. Suppose y*q - 50*q - 6 = 0. Give b(q). 8 Let o = -162674 + 162673. Let h(n) be the first derivative of -29*n**2/2 - n - 1. What is h(o)? 28 Let o(c) = -c**3 + 3*c**2 - c - 2. Let d(r) be the first derivative of -3*r**2/2 - 3*r + 26. Let x be d(-2). Give o(x). -5 Let z(g) = -g**2 - 1 + 8*g + 3 - 6. Let p(l) be the second derivative of -9*l**5/20 + l**3/2 + l**2 + 21*l. Let s be p(-1). Calculate z(s). -4 Let j(d) = d**3 - d**2 + d + 14. Let q be 15/225 + 5/(-75). Calculate j(q). 14 Suppose -5*g - 34 = 1. Let s be g + 16 + 7 + -6. Let z(b) = -b**3 + 10*b**2 + b - 4. Give z(s). 6 Let g = -38 - -48. Suppose -g = 4*q - 34. Let v(y) = -9 + y + 7*y**2 + q + 3. What is v(1)? 8 Let v(s) be the first derivative of -2*s**2 + 6*s - 1096. Determine v(-7). 34 Let b(y) = -y**2 - 2*y + 3. Let f = 51 + -51. Let v be -1*(-3 - -4 - f). Let c be v/(-1*3/6). Calculate b(c). -5 Let z(v) = v**3 - 11*v**2 - v + 7. Suppose 0 = -r - 2*x + 17, 8*x + 14 = r + 9*x. Let s be z(r). Let l(c) = -c**3 - 5*c**2 + 4*c - 2. What is l(s)? -34 Let w(z) = z**3 + 9*z**2 + 8*z - 11. Let s = -23803 - -23796. Determine w(s). 31 Suppose -5*i = 5*u - 8040, 3*u + 5*i = 587 + 4227. Let n(o) = -u*o**2 + 1626*o**2 + 6*o**3 + 8 - 5*o**3 + 23*o. Calculate n(-11). -3 Suppose n - 5 = 3*r, 5 = n + r + 4. Let z(h) = -h**3 - h**3 - 2 - 10*h**n + h**3. Suppose 0 = -3*d - f - 39, 12 = 4321*d - 4324*d + 2*f. Give z(d). -2 Let t = -23 - -32. Suppose -4*d - 13*p + 12 = -t*p, p = -5*d + 11. Let s(k) = -2*k**2 + 3*k - 1. Give s(d). -3 Let r = 99 - 97. Let v(g) = -g**2 - 2 - 137*g - 2*g**2 - g**3 + 3 - g**3 + 139*g. Determine v(r). -23 Let c be (-4)/6 + (-145)/(-15). Let t(v) = 2*v**2 + 4*v - 50. Let a be t(-9). Let i(k) = 9*k**2 - a*k**3 + 5 - 2*k + k + 37*k**3 + 38*k**3. Determine i(c). -4 Let o(c) = c**3 + 2*c**2 - 4*c - 2. Let d = 17324 + -17321. Determine o(d). 31 Let a(n) = -4*n**2 - 4*n. Let x(l) = -l**2 - l - 1. Let v(d) = -a(d) + 2*x(d). Let k = -216 + 238. Suppose -k*i - 9 = 79. What is v(i)? 22 Let k(g) = -g - 20. Let x(i) = -2*i**2 + 25*i + 66. Let v be x(15). Let s be ((-64)/12 - -6)*v. Give k(s). -14 Let j(b) be the third derivative of b**8/10080 + b**7/630 + b**6/144 + b**5/20 + 14*b**2 - 1. Let r(w) be the third derivative of j(w). Give r(-5). 15 Let f(z) = -6. Let a(c) = -c + 1. Let s(l) = 6*a(l) + f(l). Let w be 0 - (-20)/2 - (5246/61 + -78). Calculate s(w). -12 Let x(n) = -942*n - 3 + 308*n + 314*n + 315*n. Determine x(15). -78 Let i(m) = 52*m**2 + 52*m**2 + 46*m**2 - 7*m - 151*m**2 + 15 - 21 + 13. Let q(t) = t**3 - 3*t**2 - 5*t - 3. Let f be q(4). Calculate i(f). 7 Let s be (-12 - -11) + 2/(36/30). Let l(f) be the second derivative of -7*f + 0 + 3*f**2 - s*f**3. Give l(5). -14 Suppose -5*a + 3 = -m, 3*m - 31 = 28*a - 40. Let i(n) = -15*n + 8. Calculate i(m). 53 Let u(a) = a**3 - 11*a**2 - 29*a + 21. Suppose -2*j - 4*t = -58, -3*t - 5 + 3 = -2*j. Determine u(j). -18 Let s(b) = b - 3. Let f(g) =
{ "pile_set_name": "DM Mathematics" }
1/6 a Which is the closest to -3/4? (a) 4 (b) 3/5 (c) -3/5 (d) -0.5 c Which is the nearest to 1/5? (a) -2/87 (b) -1 (c) 3 (d) -2/3 a What is the closest to 0.1 in 29/2, 7, 4/3? 4/3 Which is the nearest to 2/3? (a) 12 (b) -13 (c) 0.4 c Which is the closest to 0.01? (a) -3 (b) -29 (c) 4 a Which is the nearest to -2/7? (a) 1 (b) 0 (c) 5 (d) 2/3 b What is the closest to 0.2 in -0.4, 0, 2/15, -0.3? 2/15 Which is the closest to 0? (a) -0.3 (b) -3 (c) -0.5 (d) -0.2 d Which is the nearest to 1? (a) -3 (b) 41 (c) 3 c Which is the closest to 1? (a) -0.031 (b) -3/2 (c) 1/6 (d) -1/16 c Which is the closest to 0.7? (a) 27 (b) -1 (c) 0.1 (d) 2 c What is the nearest to 6 in -1/2, 5, -2/9? 5 Which is the nearest to 0? (a) -1 (b) -28/11 (c) -2 a What is the nearest to -2 in -2/51, -1, 27? -1 What is the nearest to 2/3 in 1/3, -2437, -2/5, 0.1? 1/3 What is the nearest to 2 in -0.4, 6.3, 1/6? 1/6 Which is the nearest to -0.2? (a) 18 (b) 0 (c) 1/9 b What is the nearest to -0.07 in 0.5, -0.2, 19, -2? -0.2 What is the closest to 2/3 in 1/10, -1/6, 0.05, -3/2? 1/10 Which is the closest to 0.1? (a) 13 (b) 2 (c) -0.07 c Which is the closest to 34? (a) -1 (b) -2/3 (c) -3 (d) -4 b What is the closest to -1/5 in -2/11, 4/3, -1/3? -2/11 Which is the nearest to 0.046? (a) 4 (b) -0.3 (c) -0.1 (d) -3 c What is the closest to 1/5 in 2/11, -4, 5, 1? 2/11 Which is the closest to 1/2? (a) -5 (b) 4 (c) -103 (d) -0.2 d Which is the nearest to -2/31? (a) 0.2 (b) -1 (c) -0.17 (d) -1/7 d Which is the closest to 1/8? (a) -1/4 (b) 4 (c) -13 a Which is the nearest to -1? (a) 5 (b) 13 (c) 0.01 c What is the closest to 1 in 3, 0.4, -3? 0.4 What is the nearest to 0 in 0.3, 2/7, 6, 2? 2/7 What is the nearest to 52 in 3/8, -5, -1? 3/8 What is the closest to -0.2 in -5, -2, -37.2? -2 Which is the nearest to 1? (a) 6 (b) -2 (c) -2/9 (d) 37/2 c What is the closest to -1 in 0.063, 4/7, -2/5, 1/2? -2/5 What is the closest to -15 in 5, -0.2, 0.01? -0.2 Which is the nearest to -0.127? (a) -1 (b) 2/11 (c) -4 b What is the nearest to -8/5 in 0, -3, -8, 3/8? -3 Which is the nearest to 2/27? (a) 3 (b) 4 (c) -0.2 c Which is the closest to -3? (a) 2 (b) 0.02 (c) 3 (d) 3/2 b What is the nearest to 1/2 in -0.3, 2, -1.7, 29? -0.3 Which is the nearest to -1? (a) -6 (b) 1/7 (c) 5 (d) 1/6 b Which is the nearest to 1? (a) -1/4 (b) -29 (c) -1 (d) 11 a What is the nearest to 0 in 4, 1/18, 0.3, 1? 1/18 Which is the closest to -2/5? (a) -4 (b) 0.3 (c) 2 (d) 2/5 b Which is the nearest to -2? (a) 5 (b) -3/2 (c) -3 (d) -2/3 b What is the nearest to -1 in -22, 2/3, -47, -0.5? -0.5 What is the nearest to -15 in 0.03, 3, -3? -3 Which is the closest to 0? (a) 0.1 (b) -1/6 (c) -2/15 (d) -176 a What is the nearest to -2 in 0.212, -0.2, 1? -0.2 What is the nearest to -2/7 in -3, 1, 7, 8? 1 What is the closest to -1/2 in -0.3, 28, 0.5? -0.3 Which is the closest to 0.1? (a) -5 (b) -0.7 (c) -1/10 (d) 0 d Which is the closest to 0? (a) 0 (b) -434 (c) -1/5 a Which is the closest to 0.2? (a) -2/11 (b) 2 (c) -1.7 (d) 1/3 d Which is the closest to -0.2? (a) -4 (b) 3/5 (c) 8 (d) 3 b Which is the closest to -49? (a) 0.5 (b) 5 (c) 1/5 c What is the nearest to -1 in 0.5, -0.19, -23? -0.19 Which is the closest to 1/3? (a) -1/6 (b) -4/3 (c) 0.08 c Which is the closest to 0? (a) 2/19 (b) -2/7 (c) -5 a Which is the closest to -11? (a) 5/3 (b) -3 (c) 1.6 (d) -0.2 b What is the nearest to 2/5 in -11, 8, -1? -1 What is the nearest to 1 in 0.3, 5, 9/31? 0.3 Which is the nearest to -0.1? (a) -4 (b) 0.014 (c) 5 b Which is the closest to -2? (a) 1/3 (b) -2/5 (c) 5 (d) 3/8 b What is the nearest to 0.3 in 14, -3/4, -2? -3/4 Which is the nearest to -2? (a) 3 (b) -0.5 (c) 5 b Which is the closest to -0.3? (a) -3 (b) -2 (c) -0.0251 c What is the nearest to -1/2 in -0.05, 4, -1? -0.05 Which is the nearest to 1? (a) -2 (b) -2/5 (c) -7 (d) -302 b Which is the nearest to 1? (a) 3 (b) 2 (c) 8 b What is the closest to -0.1 in 14, 1/6, -18/5? 1/6 What is the nearest to 0.1 in 1, 0.1, -1, -5? 0.1 What is the closest to 1/3 in -4, 4/13, 4, -0.5? 4/13 Which is the closest to -4? (a) -0.5 (b) -0.2 (c) 78 (d) -0.1 a What is the nearest to -0.6 in 1, 1/4, -1/4, -2/13? -1/4 What is the nearest to 0 in 2/9, -0.4, 3? 2/9 Which is the closest to 1/2? (a) 0.3 (b) 5 (c) 4 (d) 0 a What is the nearest to 1 in 4, 0, -0.2? 0 What is the closest to -4/13 in -1/9, -0.3, 0.5? -0.3 Which is the closest to 0.2? (a) -1/5 (b) -4 (c) 4 (d) -2 a What is the closest to -94 in -0.4, -9, 2/3? -9 What is the nearest to 1/3 in 2/7, 1, -0.5? 2/7 Which is the nearest to -3? (a) -176 (b) 1 (c) 1.3 b Which is the closest to 2? (a) 3 (b) 0.11 (c) -0.2 a Which is the nearest to 1.2? (a) 0.1 (b) 2 (c) -1.6 b What is the closest to 4 in 2, -35, 50? 2 What is the nearest to -2/3 in -2/3, 0.124, 0? -2/3 Which is the nearest to 0? (a) 2/9 (b) -0.14 (c) -5 b What is the nearest to 1 in 18, 2/9, -2/11? 2/9 Which is the nearest to 1? (a) 0.4 (b) -2/3 (c) -20 (d) -2 a What is the closest to 1 in 1, 1.43, 2? 1 What is the nearest to 1.8 in 5, -0.3, -4? -0.3 Which is the nearest to 2/11? (a) -7/5 (b) -3 (c) -2/7 (d) -2 c What is the closest to 11/3 in 2, -1.3, 4/5? 2 What is the nearest to -0.01 in 2/17, 3, -4? 2/17 What is the closest to -0.1 in 0.5, -3.5, 0.32? 0.32 What is the closest to 1 in 0.3, 0.4, 2/3, -1? 2/3 Which is the nearest to -0.2? (a) 2/17 (b) -0.1 (c) -2/9 (d) 1.6 c Which is the closest to -2/3? (a) -1/4 (b) 1 (c) 0.3 (d) 3/5 a What is the closest to 0.2 in 4, -0.4, 2/19, -4? 2/19 What is the nearest to -2/17 in -3/7, -10, 0, 0.3? 0 What is the closest to 0.1 in 0.4, -2, -4, 5? 0.4 Which is the nearest to 0.1? (a) -4/7 (b) 3 (c) -3 (d) -18 a What is the nearest to -0.2 in 8, 0.03, 41? 0.03 What is the nearest to -9 in 4, -2, -6, -0.2? -6 What is the closest to 0.9 in 5, 1, 0.27? 1 Which is the nearest to -0.081? (a) 0.3 (b) 5/12 (c) -5 a Which is the closest to 0.1? (a) -8 (b) -4 (c) -2 (d) 3 c Which is the closest to 0? (a) -2/19 (b) -1/5 (c) -1 (d) 0.7 a Which is the closest to 2/7? (a) 4 (b) -5 (c) 3 c What is the nearest to -0.1 in 16/7, -0.5, -1/12? -1/12 Which is the nearest to 1/20? (a) 0.33 (b) 2/9 (c) -2 b Which is the closest to 1/7? (a) -0.41 (b) 0.3 (c) -3 (d) -5 b What is the nearest to 1 in 2/11, 0.4, -0.3? 0.4 Which is the nearest to 0.1? (a) -4/7 (b) 12 (c) -2/31 c What is the nearest to 7 in -12, 0.3, -1/10? 0.3 What is the nearest to 14.6 in -2/7, 0.4, 3? 3 Which is the closest to -1? (a) -0.5 (b) 2 (c) 4 (d) -1/5 a Which is the closest to 7? (a) 0.97 (b) 1 (c) -1/2 (d) 0.08 b Which is the closest to 0.2? (a) -0.2 (b) 1 (c) -3 (d) 0 d What is the closest to 1/2 in -4/3, 7, -1, -2? -1 What is the closest to 0.1 in -2, 5, -6? -2 Which is the nearest to -3? (a) -1/4 (b) -0.02 (c) -1 c What is the closest to 0 in -1/2, 2/3, 1, -0.2? -0.2 What is the closest to 0 in 3/4, -55, -6, 5? 3/4 Which is the closest to 16? (a) 1/3 (b) 4 (c) 5 (d) 1.4 c What is the nearest to -0.9 in -0.05, 1/9, -0.11? -0.11 Which is the nearest to -1/8? (a) -6 (b) -4/5 (c) 0.3 c What is the closest to 1 in 0.5, -0.33, 6? 0.5 Which is the closest to -2/89? (a) -2 (b) 3 (c) -3/7 (d) 4 c Which is the closest to -1? (a) -4/7 (b) 445 (c) -5 a What is the closest to -2 in -3, -1/26, -0.1, 3? -3 Which is the nearest to 67? (a) 0 (b) -5 (c) 2 c What is the nearest to 0.1 in -33, -4/7, -2, -4? -4/7 What is the nearest to 1 in -59, -4, 4/3, 4/7? 4/3 Which is the closest to -1? (a) -10 (b) -0.3 (c) 11 b What is the nearest to 1 in 3/7, 7, -2? 3/7 Which is the closest to 2? (a) 0.4 (b) 0.095 (c) -1/4 a What is the nearest to 6/7 in 2/5, -5/4, -0.1, 12? 2/5 Which is the nearest to 2/5? (a) 5/4 (b) 0 (c) -0.3 (d) -2/11 b What is the closest to 104 in 1/5, -8, -5? 1/5 What is the closest to 12/11 in 0.5, -1/9, -3/2? 0.5 What is the closest to 1/4 in -1/4, 0.3, 3/2, -1/8? 0.3 Which is the closest to 2? (a) -4 (b) -2/7 (c) 0.1 (d) 41 c Which is the closest to 0.1? (a) -5 (b) -0.0548 (c) -5/3 (d) -4 b Which is the closest to -3? (a) 1 (b) 0.3 (c) -2.3
{ "pile_set_name": "DM Mathematics" }
-3*v + 19 = -2*b for v. 3 Suppose 10 + 5 = 5*q. Let f = q + 1. Solve 2*h - 13 = 3*b, -f*h + 5*b + 21 = -0*b for h. -1 Suppose -x = -6*x - 20. Let t be (-8 + 7)*(-8)/(-1). Let k = x - t. Solve -2*d + k*y = -2 + 32, 4*d + 40 = 4*y for d. -5 Let g = -39 - -90. Solve g = -3*v + 5*w + 11, v = -w for v. -5 Suppose v - 1 - 1 = 0. Let r be (7 + (1 - 5))/((-9)/(-60)). Solve v = m + 1, -3*h - 5*m = -r for h. 5 Let o(y) be the second derivative of y**3/3 - y**2/2 - 2*y. Let l be o(2). Solve -l*v = -b - 3*b + 18, -b = 4*v + 5 for b. 3 Let t = -16 - -19. Solve -m = -h + 3, 0*m + 4*m + t*h = -12 for m. -3 Let c(j) = j**2 - 5*j - 7. Let o be c(5). Let m be (o/28)/(1/(-4)). Solve -4*w - m = g, -w - 13 + 3 = -3*g for w. -1 Suppose 5*h - 13 = -3. Suppose 0 = -2*a - 2*a + 12. Solve h*d - 4*n = a*d - 10, 2*n + 2 = -4*d for d. -2 Let z(l) = l**2 - l - 1. Let a(f) = 4*f**2 - 5*f - 1. Let u(v) = -a(v) + 5*z(v). Let j be u(-2). Solve -4*c - g = j, c - 11 = -4*c - 4*g for c. -1 Suppose 3*n - 8 - 22 = 0. Solve 4*z + 22 = n, 3*s + 2*z = 3 for s. 3 Suppose 0 = -r + 2*k + 13, -2*r + 36 = -3*k + 5. Solve 4*x + 0*x - 29 = 3*g, -r = g - 4*x for g. -3 Suppose -2*i = 4*d + 2, -5*d = -0*d + 2*i. Let k(g) = 2*g**3 - 4*g**2 + 3*g - 2. Let w be k(d). Solve 5*m = 4*r + 30, -4*r - r = -w*m + 33 for r. -5 Let n be 16 + -16 + 6 + 0. Suppose 20 = n*k - k. Solve 0 = -5*d + 5*w - 15, k*d - 5*w = d - 19 for d. 2 Suppose 1 = -2*w + 15. Suppose 5*i - w = 8. Solve 0 = -a + 4*j - 8, 0*j = a - i*j + 7 for a. -4 Let l(u) = -7*u**2 - 2*u + 2. Let p(j) = -13*j**2 - 4*j + 3. Let f(z) = 11*l(z) - 6*p(z). Let y be f(-3). Solve -4*w + 3*o = y, -2*o + 5 = -5*w + o for w. 2 Suppose 2*w - 48 = 5*w. Let c = 24 + w. Let z = c + -6. Solve 3*q + 22 = 7, 0 = -4*l + z*q + 2 for l. -2 Let x(f) = -f**2 + 8*f - 3. Let n be x(7). Suppose -20 = 3*i - n*i. Let j be (0 + -2)*(5 - 6). Solve 0 = -t - o + 5 - 0, -j*t + 4*o = i for t. 0 Suppose j - 26 = c, -3*c - 28 = 5*j - 6*j. Solve u + 19 = -0*u - 3*t, j = -5*u - t for u. -4 Suppose 0 = 10*h - 8*h. Let w be (-2)/(-5) + 16/10. Solve w*m + 5*b = 7*m + 10, h = b - 5 for m. 3 Suppose -2*y = q + q + 2, -4*y = q + 16. Let t(d) = -d + 1. Let k be t(-4). Let j be y/(k/2) + 7. Solve 2*o + i + 3 - 2 = 0, -4*o + j*i = -33 for o. 2 Suppose 3*n = -c - 28, 0*n = -3*n - 5*c - 8. Let h = n + 15. Solve -5*y - 21 = -z, 4*z + 0 = h*y + 20 for z. 1 Let q be 0/(-2) + (-3 - 1). Let a be ((-3)/2)/(2/q). Suppose -5*c - 2 = -a*w + 3, 2*w - c - 8 = 0. Solve -5*y + w = -4*z, -z - 4*y + 10 = -3*y for z. 5 Let u(p) = 2*p + 12. Let y be u(-8). Let z(w) = w + 8. Let k be z(y). Solve k*v - 4*i = -v + 21, -12 = -4*v + 2*i for v. 1 Suppose 2*z - 4 = -z - 2*w, 2*w - 4 = 3*z. Solve z = -3*r - 3, -m + 3*m = 2*r - 2 for m. -2 Let g be (1 - 1) + 2 + 14. Suppose 5*r - n = g, -3*r + 20 = 2*r - 5*n. Solve 0*z + 5 = -r*v - 4*z, 5*v - 3*z - 11 = 0 for v. 1 Suppose h = 4*b - 7, 2*b + 0 = -2*h + 6. Suppose b*y + 22 = 3*l - 7*l, 5*y = -l - 10. Let v be (-1)/((2/22)/y). Solve 2*a + 6 = 0, 3 = -2*g - 2*a - v for g. -4 Let n(z) = -z**2 - 15*z - 36. Let o be n(-11). Solve 0 = 5*m - 5*a, 4*m + o = a - 7 for m. -5 Let j = -5 - -8. Suppose 3*c - 5*y - 9 = 0, -5*y + j*y - 15 = -5*c. Solve -u + c = k, -4*u = 3*k - 8 - 4 for u. 3 Let l = -2 + 2. Let i = 12 - 8. Solve 4*z + 18 = -b, l*z + 4*b - i = 3*z for z. -4 Let j = 7 + -7. Let p be j + (-1 - -4) + -3. Suppose p*g = g. Solve -2*d + 4*a + 26 = g, -1 + 0 = -2*d - a for d. 3 Suppose -2*k - 2*k = -16. Suppose k*m + 8 = -2*b, -3*b + 3*m = -2*m - 21. Solve -b*q = -5*v + 8, -q - 2 - 2 = v for q. -4 Let j be (24/40)/(1/5). Solve 5*l - 4*l - 10 = j*t, -4*l + t + 18 = 0 for l. 4 Let u(v) = -2*v - v**2 + 0 - 5*v + 2. Let f be u(-5). Let w be (7 - (-3 + 2)) + -1. Solve -2*k - f = -5*c + w, 11 = 4*c - 3*k for c. 5 Let s(b) = 5*b - 20. Let j be s(8). Let r = 25 - j. Solve 2*x - 25 = x + 4*p, r = -x - 2*p for x. 5 Suppose 5*j - 2*p = -4*p + 5, -2*p = 4*j - 2. Suppose 2*b = 9 + j. Solve -4*r + h = -13, r - h = -b*h - 23 for r. 2 Let h = 8 + -5. Solve -25 = -b + 5*n, h*b + 2*n = 3*n + 19 for b. 5 Let q(p) = p**2 - 5*p + 3. Let g be 8/(-16) - 19/(-2). Suppose -5 = -n - 3*x + g, -3*n + 5*x + 14 = 0. Let y be q(n). Solve -2 + y = 5*m, 20 = 5*f + 2*m for f. 2 Let s(k) = -k**2 + 7*k - 3. Let i be s(6). Solve i*m + 4 = 3*r - 8, 2*r - 6 = 4*m for m. 1 Let a be (39/(-2))/(24/(-16)). Solve 2*d = 4*t - 1 - a, 4*d + 22 = 5*t for d. -3 Let v(f) = 8*f**2 - 2*f + 1. Let g be v(-2). Suppose -2*p + g = 5*l, 5*p + 8 = 3*p. Solve t + 4*z = 12, 3*z - 21 = -l for t. -4 Let r(b) = b**2 + b + 4. Let m be r(-4). Suppose 0*p = 3*p. Solve -5*h - 10 = p, 3*l - m = 5*h + 9 for l. 5 Let o(q) = 3*q**2 - 1. Let x be o(-1). Let i(l) = l**2 - l - 1. Let r be i(x). Solve -2*v = 3*b - r, -b - 1 = 3*v - 6 for b. -1 Let p be 3/2*(-48)/(-18). Solve p*a + m - 5 = 5, -4*a + 4*m = 0 for a. 2 Let g(t) = 2*t + 1. Let p be g(5). Let a = p - 7. Solve 0*o + 3*n = -2*o - 25, -2*o = a*n + 30 for o. -5 Let q = -15 - -17. Solve q*n + n - 16 = d, -5*n + 20 = 5*d for n. 5 Let b be 7/(-14)*(-20)/5. Solve -4*j - 1 + 0 = 5*f, -3*j - b = 5*f for j. 1 Let s(t) = t**2 - t + 20. Suppose 0*u = 5*u - 2*w - 4, 0 = 3*u - 2*w - 4. Let p be s(u). Solve -4*v - k = -0*k + p, -v - 8 = k for v. -4 Suppose 3*h - 18 = -3*f - 2*f, f + 25 = 2*h. Solve -3*k - 5*m = -k - h, -3*m = 5*k - 18 for k. 3 Let s be 2/1 + -3 + 7. Let x be s*6/9 - -1. Suppose -3*c + o - 18 = -x*c, -c = 4*o - 23. Solve -4*q + w - 2*w + 1 = 0, q - 2*w = c for q. 1 Let x = 56 + -46. Solve 4*z = 2*n - x, 3*z + 5 = -n - 5 for n. -1 Suppose 0*q + 6 = 4*q + 2*h, 4*q + 3*h = 1. Let r = q + -3. Let u = r - 1. Solve -4*s + u*s + 31 = -3*j, 2*j = -4*s + 6 for j. -5 Let z = -5 - -8. Let q = -2 + z. Let v be -6*(q - (-9)/(-6)). Solve -3*a + 1 = w + 5, 3 = -v*a for w. -1 Suppose -266 = -5*t + 254. Suppose s + 54 = 2*m, 3*m - t = -m + s. Solve -v + 4*i = -8, -5*v + 3*i = -m + 2 for v. 4 Suppose -j + 8 = 3*j. Suppose 0 = 2*x + j*x - 8. Solve 10 = h + 2*y, 2*y = x*h - 0*h + 4 for h. 2 Let j = 108 + -104. Solve s = -j, 4*z + s + 10 - 2 = 0 for z. -1 Let t(i) = -i**3 + 4*i**2 + 2*i - 2. Let f be t(4). Let p = f - 4. Let w = -14 + 19. Solve 0 = -j + p*j - w*v + 15, 3*j + 5*v = 15 for j. 0 Let h be (0 - 1)/(3/(-15)). Suppose 4*a = 3*a. Let n = 2 + a. Solve h*f - 2 = m, n*m - 2 = -2*f + 6*f for f. 1 Let s = 3 - 5. Let p be s/(-4) - 47/(-2). Suppose 3*a - 2 = g + 4*g, -4*g + p = 4*a. Solve -m + 6 = -3*y, 19 = 2*m + 3*m - a*y for m. 3 Let t(n) = n + 31. Let i be t(-28). Solve 5*w = -s - s + 30, 2*w + i*s = 23 for w. 4 Suppose 9*b = 4*b - 150. Let i = -14 - b. Let q be ((-3)/(-4))/(4/i). Solve 2*p + 4*v + 0*v = 6, 0 = -q*p + v - 19 for p. -5 Suppose 4*q - 16 = -5*g + 8*q, 4*g + 2*q = -8. Suppose g = l + w + 1, -3*l - 4*w = -0*w + 7. Solve -l*u + 5*m = 29, 4*u - m + 14 + 2 = 0 for u. -3 Let t = 36 - 22. Solve -m + 5*r = 16, 2*r - 6*r = -2*m - t for m. -1 Suppose -5*a + 9*a = 20. Solve 2 = -5*h + 3*h - 2*q, 7 = -a*h - 4*q for h. -3 Let d be (-8)/3 - 4/(-6). Let y be (2*-2)/(d/1). Suppose 0 = y*a + 3*a - 10. Solve 5*v - a*s = 0, 2*s - 6*s - 20 = 0 for v. -2 Let t be 24/18 - -1 - (-2)/3. Suppose 3*k + k = 12. Solve 20 - 4 = 4*c + h, k*c + t*h = 3 for c. 5 Let a(v) = -v**2 + 4*v - 1. Let r be a(2). Suppose -3*m - 5*t + 3 = 2, 0 = r*t + 3. Solve -2*h = w + 5, 5*h + 9 = m*w + 1 for h. -2 Let p(t) be the third derivative of -1/24*t**4 + 0 + 1/10*t**5 + 0*t + 1/6*t**3 + t**2. Let l be p(1). Solve 0 = -3*g + m - l*m + 10, -6 = -3*m for g. 0 Suppose -4*c - 6 = -6*c. Solve 0 = -s + 3, -5*p + c*s = 4 for p. 1 Suppose 0 = 4*l - 17*l + 13. Solve -p - 2*p + 11 = 2*o, -l = p - 4*o for p. 3 Let t = 0 + 5. Suppose 2*v = 3*v + 5*n - t, -3*n = -3. Let r = 3 - v. Solve -3*q = -r*s - 3, -s + 5 = -q - 3*s for q. -1 Let a be (2 - 3/(-2))*2. Let f = -5 - -3. Let y = f + a. Solve -2*n + y*v + 10 = v, -45 = 5*n + 4*v for n. -5 Let s be (-10)/(-3)*(3 - 0). Let z be (-15)/6*s/(-1). Solve 5*n - 10 = n + 2*d, 5*d + z = -2*n for n. 0 Let p be 82/8 + (-8)/32. Let g = p + -5. Solve 22 = g*w + 4*m, -13 = -3*m - 4 for w. 2 Let q(z) = z**2 - 2*z - 8. Let x be q(0). Let k be -1 - -5 - 4 - x. Solve -5*h - 4*y - k = -0, -5*h - 2 = y for h. 0 Let g(u) = -u - 6. Let v be g(-5). Let n = v - -3. Suppose -j = n*j - 72. Solve -3*r - 5 + j = 2*z, 4*z -
{ "pile_set_name": "DM Mathematics" }
113*q = 110*q - 4*g + 3098, 2*g = 4*q - 4160. What are the prime factors of q? 2, 3, 173 Let o(z) = -z**3 + 0 + 4 + 7*z**2 - 10 + 0 - 8*z. Let p be o(6). List the prime factors of (50/(-30))/(2/p). 3, 5 Let m be (55/25)/((-2)/(-10)). Let g = m + -5. What are the prime factors of g? 2, 3 Suppose 149*y = 134*y + 13740. List the prime factors of y. 2, 229 Suppose -p + 2*p = 5*b - 59, -b + 10 = -2*p. Suppose b*z = 7*z + 800. What are the prime factors of z? 2, 5 Suppose -u + 1057 = 2*g - 0*u, -2*g = -5*u - 1075. What are the prime factors of g? 2, 5, 53 Let h(b) = -b**3 + 5*b**2 - 4*b - 4. Let i be h(4). Let o = -8 - i. Let x(g) = -g**3 - 2*g**2 - 3*g - 3. What are the prime factors of x(o)? 41 Let c = 64 + -63. Let v(z) = 2*z**2 + 7*z - 1. Let k(u) = -u**2 - u. Let g(o) = -6*k(o) - v(o). What are the prime factors of g(c)? 2 What are the prime factors of (-36)/6 + 2/(-1) + 2003? 3, 5, 7, 19 Suppose 0 = -v - 0*m - 2*m + 3, 3*m = 3*v + 36. Let p be (17 + v)/(1/(-10)). Let o = p - -149. List the prime factors of o. 7 Let j be (-3 + 2)/(7/(-49)). Suppose -8*g = -j*g - 28. List the prime factors of g. 2, 7 Let t(k) = -2*k**2 + k + 1. Let q be t(3). Let x be (q + -1 + -1)/1. Let l = x - -39. List the prime factors of l. 23 Let j(y) = 8*y - 6 + 48 + 20*y + 3. List the prime factors of j(7). 241 Suppose -4*d - 5*l = -0*d - 5, 2*d + 4*l = 4. Let r be d*(-4)/(-12)*-1. Suppose r*t = 3*t - 153. List the prime factors of t. 3, 17 Let q = -649 + 1003. Suppose 5*d - q = -4*b + 2*b, 2*b - 5*d = 334. What are the prime factors of b? 2, 43 Let n = 3395 - 2239. What are the prime factors of n? 2, 17 Let r(c) = 1 + c - 5 + 1. Let x be r(3). Suppose -4*q + 2*n = x, 2*q = -3*n + 5 + 11. What are the prime factors of q? 2 What are the prime factors of -4 - 3/(-3) - -1*164? 7, 23 Let f = -51 + 54. What are the prime factors of (-4)/f*(-1161)/6? 2, 3, 43 Suppose -3*z + 751 = 721. List the prime factors of z. 2, 5 Let a(r) = -3*r**2 - 8*r - 3. Let d be a(-6). Let x be (d + -1)/((-8)/16). Suppose 0 = -g - 3*g + x. List the prime factors of g. 2 Let a be (4/(-8) - 9/(-6)) + 2. Suppose a*n - 115 = 41. List the prime factors of n. 2, 13 Let o(t) = 4*t**2 - 9*t + 80. Let a(f) = -3*f**2 + 6*f - 53. Let r(k) = 7*a(k) + 5*o(k). What are the prime factors of r(0)? 29 Suppose -3*d - 9 - 6 = 0. Let n(j) be the second derivative of -j**5/20 - j**4/2 - 4*j**3/3 - 2*j**2 + 20*j. List the prime factors of n(d). 11 Let p(i) = 1049*i - 271. What are the prime factors of p(4)? 5, 157 List the prime factors of (1*-2)/(62/(-14291)). 461 Suppose -898*v = -899*v + 923. What are the prime factors of v? 13, 71 Let s = 179 + 184. What are the prime factors of s? 3, 11 Let h(p) = -7*p + 10. Let u(z) = 13*z - 19. Let i(r) = 11*h(r) + 6*u(r). Let a be i(8). Suppose -a*w - w = -65. List the prime factors of w. 13 Let k = -7 - -12. Suppose 2*y + k = i, -4*i + 5*y = 2*y - 15. Let u = 10 + i. What are the prime factors of u? 13 Let c = 7123 - 3615. List the prime factors of c. 2, 877 Suppose 38*k + 813 = 39*k. List the prime factors of k. 3, 271 Let y = 1704 + -848. List the prime factors of y. 2, 107 Suppose -5*g + 636 = -4*b + 107, 2*b = -3*g + 313. What are the prime factors of g? 3, 5, 7 Let b = -8 + 7. Let u(p) = 34*p**3 - 3*p**2 + 4*p - 2. Let l(a) = -69*a**3 + 7*a**2 - 9*a + 5. Let s(k) = -3*l(k) - 7*u(k). List the prime factors of s(b). 31 Suppose 0 = h - 4*t - 22, -4*t - 18 - 2 = 0. What are the prime factors of (80/50)/(172/85 - h)? 2, 17 Suppose -6*x - 6 = -8*x. Let a be 1 + (x - 2)*-1. Suppose a = -4*l + 9*l - 80. List the prime factors of l. 2 Let s be ((0 - 3) + 4)*-7. Suppose 2*u - 3 = 35. What are the prime factors of u - s/(28/8)? 3, 7 Suppose 339 = 3*r + 4*l, 2*r + 0*r - 4*l = 246. Suppose -99 - r = -v. What are the prime factors of v? 2, 3 Let d(y) = -31*y**2 + y + 1. Let k be d(1). Let b = 16 - k. List the prime factors of b. 3, 5 Suppose -16 = 2*o - 4*o. Suppose o = -13*w + 11*w. Let c(m) = -3*m - 2. What are the prime factors of c(w)? 2, 5 Let o(n) = -n**2 + 1. Let a be o(-1). Suppose 7*f = f + 72. Suppose a*r + 2*r = f. What are the prime factors of r? 2, 3 Let t = -12 + 16. Let d be 3 - (t/2 + -2). What are the prime factors of (121/(-33))/((-1)/d)? 11 Suppose 3*n + 0*n = w + 138, -3*w - 414 = -n. Let b = -81 - w. What are the prime factors of b? 3, 19 Let m be -4 - (-6 + 3) - -3. List the prime factors of 4/m*(-30)/(-12). 5 What are the prime factors of (-37122)/(-15) + 5*(-8)/(-200)? 3, 5, 11 Let t(s) = s - 15. Let z be t(18). Suppose -b = z*k - 47, 5*k = 4*k. List the prime factors of b. 47 Let x(k) = k**3 - k**2 + k. Let w(l) = -l**3 - 7*l - 4. Let j(o) = w(o) + 2*x(o). List the prime factors of j(5). 2, 23 Let o = 3053 - 526. List the prime factors of o. 7, 19 Let i(n) = 4*n - 1. Let b be i(1). Let g(p) = 21*p**2 - p - 1. Let l be g(-1). What are the prime factors of (b + -2)*(l - 1)? 2, 5 Suppose 5*b - 20 = -4*q, 2*b + 0*q = -3*q + 15. Suppose -2*o = -2*w - 2, -3*w - 4*o = -5*w. List the prime factors of 150/6 - (b + w). 3 Let q(v) = -v**2 + 3*v + 3. Let h be q(-18). Let a = h - -599. What are the prime factors of a? 2, 7 Let b = -60 - -68. Suppose b*w - 277 = 211. What are the prime factors of w? 61 Suppose -6*p - 5*f - 1677 = -9*p, -3*f = 2*p - 1099. List the prime factors of p. 2, 277 Let c(l) = -l**2 + 7*l + 9. Let y be c(7). Let q = y + 33. List the prime factors of q. 2, 3, 7 Let o(v) = 58*v + 3. Let k(j) = 19*j + 1. Let b(f) = 8*k(f) - 3*o(f). Let w = -1 + 0. List the prime factors of b(w). 3, 7 Suppose -2*t + 5*l + 1836 = 0, -1830 = -2*t - 2*l + 4*l. What are the prime factors of t? 11, 83 Let l(q) = 41*q - 2. Let i(g) = 20*g - 1. Let n(z) = -5*i(z) + 3*l(z). Let y(h) = h**3 + 11*h**2 + h + 12. Let d be y(-11). List the prime factors of n(d). 2, 11 Suppose -12 = 4*a + 84. Let s = 26 + a. Suppose -s*l = -2*m + 6, 2*l + 2*l = 2*m. List the prime factors of m. 2, 3 Let q(l) = -l**3 + 2*l. Let y be q(-2). Suppose 141 = y*t - 11. Suppose t = 5*b - 22. What are the prime factors of b? 2, 3 Suppose 0 = 2*n + 2*q - 18, 2*n + 4*q = 6*q + 2. Let l = -180 + 374. Suppose -n*h = 3*m + m - l, 2*h - 4 = 0. What are the prime factors of m? 2, 23 Let y be (-9)/(-27) + (-64)/3. Let p = y - -42. Suppose -2*r + p = u, 6*u - 66 = u + 3*r. What are the prime factors of u? 3, 5 Suppose 0 = 2*h - 0 - 8. List the prime factors of 9/(-6) + 134/h. 2 Suppose -9*c - 633 = 429. What are the prime factors of c/(-3)*((-15)/6 - -4)? 59 Let u(l) be the third derivative of -l**5/60 - 3*l**4/4 + 10*l**3/3 + 16*l**2. Let p = 4 + -21. What are the prime factors of u(p)? 37 Suppose 5*n = -n + 906. Let g = -85 + n. What are the prime factors of g? 2, 3, 11 What are the prime factors of 3/4*(-1888)/(-4)? 2, 3, 59 Let k(t) = 12*t**2 - 45*t - 39. List the prime factors of k(18). 3, 1013 Let x be (-4)/(4/523) + -4. List the prime factors of -1*(-8)/(-12) - x/3. 5, 7 What are the prime factors of (-135031)/(-52) - ((-26)/8 + 3)? 7, 53 Let m(j) = -j + 12. What are the prime factors of m(-16)? 2, 7 Let h(d) = -d + 4. Let w be h(4). What are the prime factors of (-1 + 6/10)*(-25 - w)? 2, 5 Let v = -53 + 154. What are the prime factors of v? 101 Let w = -213 - -135. Let s = w + 431. List the prime factors of s. 353 Let n(b) = -b**2 + b + 6. Let g be n(-3). Let j = 87 - 20. What are the prime factors of j - (-1 + g + 3)? 71 Let t(b) = -29*b + 6 + 18*b + 4 + 4. List the prime factors of t(-8). 2, 3, 17 Let n = 11 + -9. Let x be 1*(1 + -2) - n. What are the prime factors of 106/4 + x/(-6)? 3 Suppose 3*x + 5*r = -x + 435, -2*x - 5*r + 205 = 0. Suppose -v + x = 23. List the prime factors of v. 2, 23 Let d = -260 - -673. What are the prime factors of d? 7, 59 Let a(i) = -9 + i**2 - 4 + 2*i + 5 - 10. Let u be a(0). Let k = 21 + u. List the prime factors of k. 3 Let c(w) = -4*w**3 - 1. Let l be c(-1). Suppose k - 21 = -l*b, 4*b + b - k = 35. What are the prime factors of b? 7 Let f be (-36)/2 + (-1)/1. Suppose -z + 28 = 4*d, 5*d + 3*z = d + 36. What are the prime factors of (-4)/(d/3) - f? 17 Let d = -140 - -50. Let b be (3/9 + -1)*d. Let i = b + -41. What are the prime factors of i? 19 Suppose -7 = -s - 5. Suppose c + s*c = p - 157, p - 160 = 4*c. What are the prime factors of p? 2, 37 Let j = 495 + -166. List the p
{ "pile_set_name": "DM Mathematics" }
u, 4, f in descending order. 4, u, f Let j(u) = -u**2 + 1. Let h = -1 + 0. Let o be j(h). Let p = -20 - -18. Put 5, p, o in increasing order. p, o, 5 Let r(x) = -x**3 - 4*x**2 + 6*x + 4. Let n be (-2 + 1)/(6/30). Let s be r(n). Let f = 4 + -8. Put f, 1, s in decreasing order. 1, s, f Let c = 1 - 0. Suppose -h + 2 = 5*u, 3*h + 13 = 5*u - c. Suppose -u - 9 = 5*x. Sort -5, 5, x in decreasing order. 5, x, -5 Let r(s) = 3*s**3 + s**2. Let z be r(-1). Let w = z - -6. Put -3, -6, w in increasing order. -6, -3, w Let s be (80/(-60))/(2/3). Sort s, 0, -0.3. s, -0.3, 0 Suppose 0 = -2*z + 53 - 55. Put 0.06, 2/11, z in decreasing order. 2/11, 0.06, z Let r = -1719/7 + 246. Let g = -3.9 - -4. Sort r, g, 4 in decreasing order. 4, r, g Let r be -15*(0 + (-2)/6). Let d = 9 - 9. Sort r, -3, d in descending order. r, d, -3 Let a = -1 - 4. Suppose -j = -3*j + 10, -i = -j + 9. Let o = 4 + -6. Sort a, i, o. a, i, o Let s = 5.9 + -6.4. Sort s, -7, -0.3 in descending order. -0.3, s, -7 Let a = -49 + 50.23. Let u = a - -0.17. Let l = u - 1. Sort l, -1, 3 in descending order. 3, l, -1 Let t = 3 - 13. Sort -0.5, -3/4, t. t, -3/4, -0.5 Let m = 0.14 - 4.14. Sort -8, 5, m in descending order. 5, m, -8 Let m(u) = -2*u**2 - 32*u - 54. Let k be m(-14). Sort 9, -3, k in increasing order. -3, k, 9 Let t(u) = 6*u**2 - 3*u - 4. Let r be t(6). Let v = 4463/23 - r. Let y = -21/46 - v. Put -2/3, -4/9, y in descending order. -4/9, y, -2/3 Let u(k) = k**2 + 5*k - 4. Let f be u(-6). Sort 0, 1, f. 0, 1, f Suppose -1 = 2*x + 7. Let g be 2/(-3)*(-6)/x. Let j(o) = o**3 - 11*o**2 + 9*o + 5. Let b be j(10). Sort -3, g, b in increasing order. b, -3, g Suppose -5*t + 0*t + 40 = 0. Let s = t - 6. Let m(p) = -p**3 + 3*p - 3. Let k be m(s). Put k, 2, 1 in ascending order. k, 1, 2 Let r = 47 + -47. Suppose 2*w = 4*w. Let x = -1 + w. Put r, -3, x in decreasing order. r, x, -3 Let t(s) = -s. Let j be t(-4). Suppose j*k - 7 = q + 6, 0 = -2*k + 4*q + 24. Suppose 0 = 2*l - 5*l - 12. Put l, -1, k in increasing order. l, -1, k Let h = 5 + -1. Let j(p) = -p**2 + 13*p + 13. Let a be j(14). Sort 3, h, a in decreasing order. h, 3, a Suppose -20 = -5*j + 3*j. Let y = j + -10. Suppose y = -4*d + d - 9. Sort 3, 1, d in increasing order. d, 1, 3 Let j be 2/8 - 6/(-40). Put j, -4, -1 in decreasing order. j, -1, -4 Let c be (-10)/((-20)/(-4) + -7). Put -5, 0, -3, c in ascending order. -5, -3, 0, c Let v = 121/10 + -23/2. Let w = -14 - -10. Sort v, w, 2 in decreasing order. 2, v, w Suppose 3*k - 5*d = -k - 36, 3*k + 4*d = 4. Suppose -16 = 4*s - 4. Let g = -2 + 0. Put k, g, s in descending order. g, s, k Let i = 0.108 + -0.008. Let n(h) = h**3 + 3*h**2 + 1. Let l be n(-3). Put l, -2, i in ascending order. -2, i, l Let s = 37/21 - 4/3. Sort 0, s, 4, -5. -5, 0, s, 4 Suppose 3*v + 3*g - 2 = -g, 3*v = -3*g + 3. Suppose v*m = -m + 15. Sort m, -2, -1 in descending order. m, -1, -2 Suppose 3 + 0 = i. Suppose -3*j + 15 + 6 = i*u, 5*j = -3*u + 29. Sort -0.2, 0.5, j in decreasing order. j, 0.5, -0.2 Suppose 0 = -0*k + 4*k + 20. Sort k, 3, -1/25 in decreasing order. 3, -1/25, k Let h(m) = m**2 - 14*m + 1. Let x be h(13). Let u be x/(-66) + 20/11. Suppose 0 = -2*o + o + g + 5, 2*o = -2*g + 6. Put o, u, 1 in descending order. o, u, 1 Let i = -8.9 + 12.9. Suppose -4*g + 25 = -11. Sort -3, g, i in descending order. g, i, -3 Let h = 23 - 19. Sort h, 0.2, 3 in descending order. h, 3, 0.2 Suppose -3 = 2*c - 5*c. Let w(l) = -l**3 - 5*l**2 + 5*l - 1. Let r be w(-6). Sort c, r, 0. 0, c, r Let t be (0 + -2 - 9) + 2. Let r be (t - 1)/(4/(-2)). Let x(v) = -v**3 + 7*v**2 - v + 9. Let c be x(7). Put r, c, 0 in decreasing order. r, c, 0 Let l = -0.65 + 0.95. Sort l, 1, 5 in descending order. 5, 1, l Suppose 2*j = 1 + 9. Let b(f) = 2*f + 2. Let u be b(-4). Let m(p) = -p**3 - 7*p**2 - 6*p + 2. Let k be m(u). Sort j, k, -5 in descending order. j, k, -5 Let f(i) = i**2 - 10*i + 13. Let n be f(9). Let u be ((-6)/n)/(3/4). Let m = 4 + -9. Put 3, m, u in decreasing order. 3, u, m Suppose -2 = p + 3*n, -3*p + 4*n + 4 = -4*p. Suppose 0 = -p*a + 15 - 3. Put 5, -1, a in decreasing order. 5, a, -1 Let f(n) = n**3 - 3*n**2 + n - 4. Let c be f(5). Let w be (-85)/c*6/2. Suppose -2 = -4*g + 6. Sort w, -1, g in descending order. g, -1, w Let t = 8.95 - -0.05. Let w = 7 - t. Let x = 1 - w. Sort x, -1, 5. -1, x, 5 Let r be 1/(-15) - 17/51. Put r, 2/7, -3 in increasing order. -3, r, 2/7 Let j = 5.932 - 0.942. Let l = j - -0.01. Put -1, 2, l in ascending order. -1, 2, l Suppose -3*u + 5 + 7 = 0, 4*u - 8 = -2*n. Suppose 5 = -6*y + y. Sort n, 5, y. n, y, 5 Let c(z) = -z**2 + 4*z + 7. Let b be c(5). Put b, -1, -3 in ascending order. -3, -1, b Let a = -11 + 11.3. Sort 0.1, -1, a in ascending order. -1, 0.1, a Suppose 3*h = -4*a - 3, h = 3*h - 4*a + 2. Sort h, 1, 0. h, 0, 1 Let o be 32/(-55) + 4/22. Sort -1, o, -0.2 in ascending order. -1, o, -0.2 Suppose 4 = d, 8 = 4*h + 6*d - 2*d. Sort -5, -1, h in descending order. -1, h, -5 Let o = -18 - -8. Let d = o + 11. Sort d, 2, 2/29. 2/29, d, 2 Let q = -0.97 - -0.97. Put -2/7, 4, q in descending order. 4, q, -2/7 Suppose 0 = -a - 5*r, 0 = a + 2*r - 3*r - 6. Sort 1, a, -2, 9 in ascending order. -2, 1, a, 9 Suppose 5*o - 1 = -16. Sort 2, -5, o in descending order. 2, o, -5 Suppose -4*c = 4*i - 6*i - 12, 0 = -4*i. Sort -1/2, 5, c. -1/2, c, 5 Let b(u) = u**3 - 6*u**2 + 7*u + 5. Let l be b(4). Sort -3, l, -16, -2 in descending order. l, -2, -3, -16 Suppose -5*k - 5*v = -35, -v - 4 = -4*k + v. Let c be -5 - 4/(2 + -4). Let n = -5 + 9. Sort c, n, k in decreasing order. n, k, c Suppose -27 = d + 5*v, 0*v = 2*d - v + 10. Sort d, 1, 0. d, 0, 1 Let m = 0.46 - -2.44. Let a = -0.1 - m. Let j be (4/(-10))/1 + 0. Put j, -3/7, a in decreasing order. j, -3/7, a Suppose 0 = 5*q - 2*q - 4*o - 7, 0 = -3*q + 3*o + 6. Suppose -2*n - q = 3. Let c be 6*(4/(-12))/(-1). Put n, c, -3 in increasing order. -3, n, c Let s be 0/3 + (2 - 2). Let b = 43 + -42. Sort b, s, -1/4 in decreasing order. b, s, -1/4 Let t = 1 - -3. Let l = t - 9. Let f(g) = g**2 + 4*g + 2. Let d be f(-4). Put 4, l, d in ascending order. l, d, 4 Let g = 0.05 + 2.95. Let a = g - 6. Suppose x = 5*f - 23, -5*f + 29 = 4*x - 2*x. Put x, a, 5 in descending order. 5, x, a Suppose 2*h - 30 = 8*h. Sort h, -1, 22 in descending order. 22, -1, h Let x = -1 - 1. Let n be (-1)/5 + x/(-2). Let j = -113 + 1131/10. Sort -3, n, j. -3, j, n Let o be (1/2)/(3/12). Put o, 4, 5 in decreasing order. 5, 4, o Suppose -1 = -c + 2*t, -11 - 2 = -c - 4*t. Suppose -g - 48 = -3*g. Suppose m + 3*m - g = 2*h, -2*m = 2*h - 6. Sort -4, h, c. -4, h, c Suppose 2*r - 16 = -2*d, -d + 0*r - 3*r + 16 = 0. Put 0, d, 0.08, -0.5 in ascending order. -0.5, 0, 0.08, d Let m = -1 - 1. Let w = 22/9 + -28/9. Sort w, 3, m in increasing order. m, w, 3 Let b = -21 - -20.9. Sort b, -1, -1/2 in descending order. b, -1/2, -1 Suppose -2*k = 5*f - f - 4, 2 = -2*k - 2*f. Sort k, -3, 11 in increasing order. k, -3, 11 Let g = 99 + -100. Let f = 0.3 + 0.7. Sort g, f, -1/3. g, -1/3, f Let r be -2 - 4 - -1*2. Suppose -14 = 9*n - 50. Sort -3, r, n in ascending order. r, -3, n Let p = -12 + 27. Let w = p - 14.5. Let q = 9 - 4. Put 2/13, q, w in decreasing order. q, w, 2/13 Let q = -4.5 + 5. Let c be (-55)/70 + (-4)/(-14). Sort q, c, -0.1 in ascending order. c, -0.1, q Let t be 8 + 1 + 1 + -2. Suppose 2*r - 5*u + 19 = 0, 5 = -2*r + 3*u - t. Let b(m) = -m**2 + 17*m + 57. Let o be b(20). Sort 2, r, o in decreasing order. 2, r, o Let r(w) = -w**2 - 5. Let d be r(0). Let y be d/20 - 19/4. Suppose -4*t - 3*l = -3, 3*t - 18 = -0*t + 3*l. Put t, y, 4 in decreasing order. 4, t, y Let v = 5 + -1. Let r(p) = p + 12. Let w be r(-5). Suppose -w*f + v*u = -2*f - 2, -13 = 5*f + u. Sort 2, 1, f. f, 1, 2 Let u(f) = f - 4. Let w be u(3). Suppose -9*t = -10*t + 5. Suppose -3*c + 28 = t*y, -3*y - 5*c + 30 = 2*y. Put w, 4, y in decreasing order. y, 4, w Suppose -3*n = -4*n. Put n, 2, -2, 3 in increasing order. -2, n, 2, 3 Let j be -2 - (-1 + -3 + -1). Suppose -j*t = -5*t + 10. Suppose t*f - 2 = r - 1, 0 = -2*r - 5*f + 13. Put -2, -4, r in descending order. r, -2, -4 Let k(z) = -z**3 - 7*z**2 - 5*z + 4. Let r be k(-6). Let m = 10.6 - 11. Put r, 0, m in descending order. 0, m, r Let t(h) = h**3 + 2*h**2 - 2*h + 1. Let l be t(-3). Let k be l - 60/(-99)*3. Sort -2/
{ "pile_set_name": "DM Mathematics" }
- 36*n(g). Factor b(t). 4*t**4*(t - 1) Let f = 225 + -5399/24. Let j(b) be the third derivative of -f*b**4 - 3*b**2 + 1/60*b**5 + 0*b + 0*b**3 + 0. Factor j(n). n*(n - 1) Let j(a) be the third derivative of -a**6/140 - a**5/42 + 11*a**4/84 - a**3/7 - 5*a**2. Factor j(o). -2*(o - 1)*(o + 3)*(3*o - 1)/7 Factor -18*i**2 + 3*i**4 - 4*i + 5*i**3 - 10*i**2 + 24*i**2. i*(i - 1)*(i + 2)*(3*i + 2) Suppose 0 = -3*g + 2*m + 7, 2*m = -2*g + g + 5. Let b(c) be the second derivative of 0*c**2 - 1/24*c**g + 0 - 2*c + 1/12*c**4. Find f such that b(f) = 0. 0, 1/4 Let z(c) = 17*c**4 - 48*c**3 + 104*c**2 - 96*c + 32. Let d(g) = -4*g**4 + 12*g**3 - 26*g**2 + 24*g - 8. Let w(q) = 9*d(q) + 2*z(q). Factor w(p). -2*(p - 2)**2*(p - 1)**2 Let r be (-5)/10*6 + -237. Let a be ((-2)/(-12))/((-15)/r). Determine f so that -4/3*f**2 - 2/3 + 8/3*f - a*f**3 + 2*f**4 = 0. -1, 1/3, 1 Let m be (-2)/(1/(4/(-16))). Let p(d) be the second derivative of -1/30*d**6 + 1/42*d**7 - d + 0 + 1/6*d**4 - m*d**2 + 1/6*d**3 - 1/10*d**5. Factor p(w). (w - 1)**3*(w + 1)**2 Let h(p) be the second derivative of -p**4/8 - 3*p**3/4 - 15*p. Let h(f) = 0. What is f? -3, 0 Suppose 16*u = 11*u + 15. Let f(r) be the first derivative of u + 0*r + 0*r**2 + 1/9*r**3 + 0*r**4 - 1/15*r**5. Factor f(b). -b**2*(b - 1)*(b + 1)/3 Factor 1/4*o**5 + 0*o**4 + 0*o + 0*o**2 + 0 - 1/4*o**3. o**3*(o - 1)*(o + 1)/4 Let s(m) be the first derivative of m**4/4 - 3*m**2/2 + 2*m - 16. Suppose s(q) = 0. Calculate q. -2, 1 Let v(x) be the first derivative of x**7/2520 - x**5/360 - x**3 - 1. Let w(s) be the third derivative of v(s). Determine m so that w(m) = 0. -1, 0, 1 Solve 2/13*r**4 + 0 + 14/13*r**3 - 2/13*r**2 - 2/13*r**5 - 12/13*r = 0 for r. -2, -1, 0, 1, 3 Let a(o) be the second derivative of o**5/5 - 13*o**4/36 + o**2/6 + 10*o. Factor a(m). (m - 1)*(3*m - 1)*(4*m + 1)/3 Let j(z) = -z + 11. Let q be j(8). Suppose 0*k = -q*k. Suppose -3 + s**2 + 4 + k*s - 2*s = 0. Calculate s. 1 Factor -32/5*q + 8/5*q**3 + 4/5*q**4 - 16/5 - 12/5*q**2. 4*(q - 2)*(q + 1)**2*(q + 2)/5 Let v = -137/21 + 48/7. Let b(m) be the first derivative of -1 + v*m**2 + 1/3*m + 1/9*m**3. Suppose b(f) = 0. Calculate f. -1 Let z = -5 - -7. Factor 3*x**2 - 2*x**2 + 7*x - z - 8*x. (x - 2)*(x + 1) Let o(g) be the second derivative of -8*g**5/75 + 4*g**4/45 + g**3/3 - 3*g**2/5 - 21*g. Suppose o(z) = 0. Calculate z. -1, 3/4 Let p be 1/(-4)*1 + 15/28. Factor 0*q - p*q**2 + 0. -2*q**2/7 Let a be (1 - (-159)/(-80)) + 1. Let y(j) be the second derivative of -1/120*j**6 - j + 0*j**2 + a*j**5 - 1/24*j**3 + 1/48*j**4 + 0. Factor y(c). -c*(c - 1)**2*(c + 1)/4 Let i = -1 + 8. Let u(l) = 8*l**2 - 2*l - 6. Let r(n) = -7*n**2 + 2*n + 5. Let p(k) = i*r(k) + 6*u(k). Factor p(y). -(y - 1)**2 Let z = 13 - 11. Suppose 8 - 2 = -2*d, 5*g + 5 = -5*d. What is p in -p**z - 3*p + p**2 - 1 + 4*p**g = 0? -1/4, 1 Let z = 97/3 - 482/15. Factor 2/5*t**2 + 0 + 1/5*t + z*t**3. t*(t + 1)**2/5 Let i(g) = g + 2. Suppose 2*b = -2*b. Let z be i(b). Let 2/9*y**z - 2/9*y + 0 = 0. Calculate y. 0, 1 Let g(h) be the second derivative of h**7/21 - 2*h**6/15 + h**4/3 - h**3/3 - 6*h. Let g(x) = 0. Calculate x. -1, 0, 1 Let u(r) be the second derivative of -r**4/18 - 2*r**3 - 27*r**2 + 6*r. Solve u(f) = 0 for f. -9 Let o(r) = 0*r + 2*r + 4*r**2 - 7*r - 9. Let c(l) = -10*l**2 + 12*l + 22. Let p(w) = 5*c(w) + 12*o(w). Factor p(t). -2*(t - 1)*(t + 1) Determine o, given that 5/7*o + 1/7*o**3 + 2/7 + 4/7*o**2 = 0. -2, -1 Suppose 4*r + b = 9, -5*r - 3*b + 12 = -b. Find z such that -z**2 + z**r - 14*z + z**2 + 4 - 9*z**2 = 0. -2, 1/4 Suppose -3*r + 9*r - 12 = 0. Let m(h) be the third derivative of 0 + 1/60*h**5 + 4*h**r - 1/8*h**4 + 1/3*h**3 + 0*h. Let m(x) = 0. What is x? 1, 2 Let o = -24/7 - -127/35. Factor 1/5*i**2 + 0 + o*i. i*(i + 1)/5 Let t = -122/3 - -41. Solve -2/3 + m + 0*m**2 - t*m**3 = 0. -2, 1 Let i(n) be the third derivative of -n**7/120 + 11*n**6/160 - 23*n**5/120 + n**4/8 + n**3/3 + 10*n**2. Find m, given that i(m) = 0. -2/7, 1, 2 Let i(d) = -5*d**2 - 23*d + 16. Let l(t) = t**2 + 6*t - 4. Let r(p) = 2*i(p) + 9*l(p). Let m be r(7). Suppose 7 + m*k**2 + 3 - 10 + 6*k = 0. What is k? -2, 0 Let p(q) be the second derivative of -q**5/150 + q**4/45 - q**3/45 + 5*q. Factor p(k). -2*k*(k - 1)**2/15 Suppose -u - 4*u = -15. Let -5*c**3 + 0 - 1 + c**2 - c + 6*c**u = 0. Calculate c. -1, 1 Find i such that 144*i**2 + 6 + 51*i + 89*i**4 - 55*i**4 + 12*i**5 + 186*i**3 + 80*i**4 + 15*i**5 = 0. -1, -2/9 Let h(p) be the first derivative of 0*p**3 + 0*p**5 + 2 - 1/3*p**6 + 0*p + p**4 - p**2. Let h(t) = 0. Calculate t. -1, 0, 1 Let f(h) = 2*h**2 - 6*h - 3. Let k(i) be the third derivative of -i**5/60 + i**4/8 + i**3/3 - 4*i**2. Let d(s) = 4*f(s) + 7*k(s). Factor d(n). (n - 2)*(n - 1) Let w(d) = -8*d**4 + 4*d**3 - 4*d + 8. Let f(u) = 15*u**4 - 8*u**3 + 8*u - 15. Suppose -y = 2*y - 33. Let c(v) = y*w(v) + 6*f(v). Solve c(q) = 0 for q. -1, 1 Let p(v) be the third derivative of -4*v**2 + 2/3*v**4 + 0 - 23/75*v**5 + 0*v - 8/15*v**3 + 7/150*v**6. Factor p(t). 4*(t - 2)*(t - 1)*(7*t - 2)/5 Let f = -3 + 9. Let 7*x - f*x + x**3 + 1 + 3*x**2 + 2*x = 0. Calculate x. -1 Factor 2/3*r**3 - 2/15*r - 2/5*r**4 + 0 - 2/15*r**2. -2*r*(r - 1)**2*(3*r + 1)/15 Suppose 2*b + 22 = 4*b - 3*j, -3 = b + 2*j. Let i = 20 - 18. Factor -2/5*w**i + 4/5*w + 0 - 6*w**3 - 14/5*w**b - 38/5*w**4. -2*w*(w + 1)**3*(7*w - 2)/5 Let a(p) = -p**2 + 5*p - 21. Let j(v) = -2*v + 10. Let m(f) = 2*a(f) + 5*j(f). Factor m(i). -2*(i - 2)*(i + 2) Let m(x) be the third derivative of 0*x**3 + 0*x + 0 - 2*x**2 - 1/90*x**5 - 1/120*x**6 + 0*x**4. Factor m(b). -b**2*(3*b + 2)/3 Let s(w) be the third derivative of 0*w**3 + 0 + 0*w**4 - 1/1176*w**8 + 0*w**7 + 2*w**2 + 1/420*w**6 + 0*w + 0*w**5. Determine f so that s(f) = 0. -1, 0, 1 Let g = 41/90 + 2/45. Let b be 26/8 - (-3 - -4). Factor -7/4*j**3 + 0 - g*j + b*j**2. -j*(j - 1)*(7*j - 2)/4 Suppose 2*i + i - 36 = 0. Let m be ((-1)/3)/((-10)/i). Factor 0 + m*t**2 - 2/5*t. 2*t*(t - 1)/5 Factor 6/5 + 3/5*k - 3/5*k**2. -3*(k - 2)*(k + 1)/5 Let r be (4/(-10))/((-5)/25). Solve 0 + 2*z**3 - 2*z + 3 - 5 + z**2 + z**r = 0 for z. -1, 1 Let j(g) be the second derivative of g**4/3 + 4*g**3/3 + 2*g**2 - 40*g. Factor j(w). 4*(w + 1)**2 Let o(m) = 34*m**2 + 6*m - 16. Let x(r) = -r**2 + r + 1. Let b(a) = -o(a) - 12*x(a). Determine k, given that b(k) = 0. -1, 2/11 Let k(t) be the first derivative of t**7/42 - t**6/10 + 3*t**5/20 - t**4/12 + 4*t + 3. Let p(q) be the first derivative of k(q). Factor p(g). g**2*(g - 1)**3 Let q = 5 + -5. Let z(b) be the second derivative of 0*b**4 + 1/40*b**5 + 0*b**2 + 0*b**3 + q + b + 0*b**6 - 1/84*b**7. Suppose z(n) = 0. What is n? -1, 0, 1 Let h = 4 + -1. Solve -6*q**h + 8*q**2 + 2*q**3 + 4*q**3 + 4*q**3 - 4*q - 8 = 0 for q. -2, -1, 1 Let b be 4 - 4 - (-1 + (-3)/(-6)). Factor y + 1/2*y**2 + b. (y + 1)**2/2 Let o(t) = t**2 + 2*t - 75. Let n be o(8). Factor 76/7*c**2 + 50/7*c**3 + 8*c + 16/7 + 16/7*c**4 + 2/7*c**n. 2*(c + 1)**2*(c + 2)**3/7 Let x(n) be the third derivative of n**7/1155 + n**6/165 + n**5/110 - n**4/33 - 4*n**3/33 + 13*n**2. Suppose x(a) = 0. Calculate a. -2, -1, 1 Let v(m) = -m**2 + 7*m - 6. Let c(f) = -3*f**2 + 20*f - 17. Let d(k) = 3*c(k) - 8*v(k). Factor d(p). -(p - 3)*(p - 1) Let p(u) be the first derivative of -1/9*u**3 + 1/3*u**2 - 1/3*u + 1. Factor p(n). -(n - 1)**2/3 Let q(b) = 2*b - 7. Let w be q(5). Suppose -6*p**w + 6*p**3 - p**4 + p**2 + 0*p**2 = 0. What is p? -1, 0, 1 Let k(x) be the first derivative of -5*x**3/3 + 20*x**2 - 80*x - 9. Factor k(v). -5*(v - 4)**2 Suppose g = 2*m + 13, -m + 2*g = -2 + 4. Let j = 10 + m. Factor 0*f + 2/7*f**j + 0. 2*f**2/7 Let j(l) be the second derivative of 1/72*l**4 + 0 - 5*l + 0*l**2 + 0*l**3. Find y, given that j(y) = 0. 0 Let b(l) be the second derivative of 5/3*l**4 + l + 5/3*l**3 + l**2 + 0 + 1/3*l**6 + 1/21*l**7 + l**5. Find f such that b(f) = 0. -1 Let t = -560 + 560. Factor 2/5*r**3 + 1/5*r**2 + t*r + 1/5*r**4 + 0. r**2*(r + 1)**2/5 Let u be 9*(-10 - 279/(-27)). What is m in -1/4*m + 0 - 1/4*m**u - 1/2*m**2 = 0? -1, 0 Let o(f) be the third derivative of f**6/90 + f**5/9 + f**4/6 - 2*f**3 - 10*f**2. Factor o(w). 4*(w - 1)*(w + 3)**2/3 Suppose 0 = z - o + 2, 2*z - 4*o + 7 = -1. Factor -2/7*f**5 - 2/7*f**4 + 0*f + 2/7*f**2 + z + 2/7*f**3. -
{ "pile_set_name": "DM Mathematics" }
13 Suppose -46*l = -42*l - 68. Calculate the remainder when 101 is divided by l. 16 Let h(w) = w**3 + 8*w**2 + 5*w - 5. Suppose -3*f - 2*f - 35 = 0. What is the remainder when 25 is divided by h(f)? 7 Calculate the remainder when -1 - -6 - 1167/(-3) is divided by 104. 82 Let h = 361 - 326. Suppose -g - q - 2*q + 15 = 0, 2*q + 5 = g. Calculate the remainder when h is divided by g. 8 Suppose 3*i + 9*k = 14*k + 48, 4*i = 3*k + 64. Let q(y) = -4*y**3 + 1. Calculate the remainder when i is divided by q(-1). 1 Let o = 96 - 7. Let s = -57 + o. What is the remainder when s is divided by 18? 14 Let i(k) = -36*k - 7. Let m be i(4). Let y = m + 226. What is the remainder when y is divided by 19? 18 Let i be (4 + 1/1)/1. Suppose 4*q - 290 = 3*n + 20, i*q - 389 = 3*n. Calculate the remainder when q is divided by 16. 15 Let j(n) = n**3 + 7*n + 1. Let h be j(3). Let g = -47 + h. Let f = 6 + 5. Calculate the remainder when f is divided by g. 1 Suppose 13 = 3*v - 5*x - 6, 3*x + 40 = 4*v. Calculate the remainder when -5 - 56/(-12) - (-1900)/30 is divided by v. 11 Calculate the remainder when (-33)/(2088/423 - 5) is divided by 20. 17 Let g = -28 + 91. Let j = 96 - g. What is the remainder when j is divided by 7? 5 Let s be (-3)/(-15) - (-18)/(-15) - -7. Suppose 3*d + s*v - 21 = 2*v, -5*v + 6 = -3*d. Calculate the remainder when 25 is divided by d. 1 Let p(r) = -r**2 + 4*r + 5. Let d be p(4). Let b be -2 - (-710)/(2 + 3). Suppose d*y - b = 3*f - f, -2*f = -10. What is the remainder when 59 is divided by y? 29 Suppose 2*s + m = 40, 1 - 99 = -5*s - 2*m. Suppose -p + 24 = 2*p. What is the remainder when s is divided by p? 2 Let x = -668 - -641. Let z = -246 - -172. What is the remainder when 147 is divided by z/3*x/18? 36 Let i = -152 + 180. Calculate the remainder when 95 is divided by i. 11 Suppose d + 17 = -4*x, 15 = -4*d - 2*x - 25. Let q be 4*5*3/4. Let t = q + d. What is the remainder when 17 is divided by t? 5 Suppose -11 = -10*w - 11. Suppose w = -4*q - 27 + 215. What is the remainder when 93 is divided by q? 46 Let o(c) = 2*c**2 + 8*c - 5. Let m be o(-5). Suppose 17 + 28 = m*k. Calculate the remainder when 43 is divided by k. 7 Let g(k) = k**2 - k - 3. Let r be g(-4). Let f = -6 + r. Suppose -8*i + 150 = -90. What is the remainder when i is divided by f? 8 Let k be 5*(-5 + 4) - -56. Suppose 3*o = -8*z + 3*z + k, 3*z - 3*o - 45 = 0. Calculate the remainder when 35 is divided by z. 11 Suppose 6*r - 4*t = 2*r + 4, -3*r - 7 = 2*t. Let n = 1673 + -1648. Calculate the remainder when n is divided by (-13)/((-1)/(r/(-1))). 12 Let u be 22 - (-8)/(-4)*1. Calculate the remainder when 75 is divided by 1*-4*(-95)/u. 18 Suppose -54 = -6*h + 5*h. Suppose h = 2*y - 3*y. Let l = -35 - y. What is the remainder when 75 is divided by l? 18 Let p = -26 + 43. Suppose 14 = j + j. Suppose j*x = 6*x + 48. What is the remainder when x is divided by p? 14 Let z(g) = 2*g**2 + 2*g + 2. Let b be z(-2). Suppose 3*o - 5*o = -b. Suppose -2*s + 5 = -o. What is the remainder when 6 is divided by s? 2 Let o = -8 - -104. Let u(b) = 2*b**3 + 61*b**2 - 194*b + 5. Calculate the remainder when o is divided by u(3). 18 Let r = -29 - -11. Let d = 28 + r. Suppose l + 1 - d = 0. What is the remainder when 35 is divided by l? 8 Let z be ((-108)/10)/((-10)/50). Suppose 2*m - z = -2*v, -m + 23 = 4*v - 2*v. What is the remainder when 121 is divided by m? 28 Suppose 0 = b + b. Suppose -5*a + 4*l + 334 = -0*a, b = -a + 3*l + 69. Let x = -46 + a. Calculate the remainder when 57 is divided by x. 17 Let q be 4*5/((-40)/6). Let l be 43 - q/((-6)/4). Let t = l + -29. What is the remainder when 46 is divided by t? 10 Suppose -f + p + 96 = 0, 2*f - 5*f - 4*p + 288 = 0. What is the remainder when f is divided by 26? 18 Let k = -38 + 63. Let m(u) = u**3 + 7*u**2 - 2*u - 8. Let x be m(-7). Suppose 5*b = -x + 41. Calculate the remainder when k is divided by b. 4 Let i = -2 + 36. Suppose 4*s - i = 66. Suppose -4*w - 2*d = 3*d - s, 3*d = -3*w + 21. What is the remainder when 39 is divided by w? 9 Let b(n) = 45*n - 627. What is the remainder when 153 is divided by b(17)? 15 Suppose -3*t + 6 = -2*t. Suppose c - 81 = -4*u + 2, 0 = -3*c - 3. What is the remainder when u is divided by t? 3 Let b(z) = z**3 - 10*z**2 - 33*z + 30. What is the remainder when b(14) is divided by 59? 57 Let y = 304 - 296. What is the remainder when 343 is divided by y? 7 Let l = -440 + 495. Let a = 22 + -8. What is the remainder when l is divided by a? 13 Let z = 10 - 5. Suppose -13 = -5*u + 17. What is the remainder when 2*z/((-5)/(-13)) is divided by u? 2 Suppose -3*f - 4*q - 60 = -4*f, -4*q - 16 = 0. Calculate the remainder when f is divided by 1504/(-235)*30/(-8). 20 Suppose -19*s + 832 = -6*s. Calculate the remainder when 510 is divided by s. 62 Suppose 3*k + 2 - 8 = 0. Suppose -k*h + 5*i + 16 = -2, -3*h - i = -10. Let s(z) = z**2 - 3*z. Calculate the remainder when s(5) is divided by h. 2 Suppose -46*c - 274 + 7128 = 0. Calculate the remainder when c is divided by 138. 11 What is the remainder when 12/16*(-1)/((-3)/1068) is divided by 5? 2 Suppose 10*f = 902 + 238. What is the remainder when f is divided by 20? 14 Suppose 25*u - 44 = 14*u. What is the remainder when 129 is divided by u? 1 Let c be (12/10)/(1/50). Suppose 4*r = -4*m + c, 5*r = 8*m - 3*m - 85. Calculate the remainder when m is divided by 9. 7 Let x(a) = -2*a + 94. What is the remainder when 422 is divided by x(-6)? 104 Suppose 2*j - 3*a = 2, -5*j + 25 = -2*j + a. Calculate the remainder when -4 + 1035/35 - (-3)/j is divided by 2/4 + 13/2. 5 Suppose 4*y + 3*b + 23 = 353, 0 = -4*y - 4*b + 328. Calculate the remainder when y is divided by 82. 2 Suppose 2*f - 3 = f. Suppose f*p = -4*c + 123, 2*p + 0*c = 2*c + 68. What is the remainder when 72 is divided by p? 35 Let h be -2*(-3)/(-12) - 687/(-6). Let l = -50 + h. What is the remainder when l is divided by 17? 13 Suppose -9*r - 3*c = -12*r + 60, -r + 5*c + 28 = 0. Calculate the remainder when r is divided by 3. 0 Suppose 66 = 7*p - 802. What is the remainder when p is divided by 43? 38 Suppose -63*i = -62*i - 21. Calculate the remainder when 60 is divided by i. 18 Suppose 0 = 3*n + 2*p - 421, 42 + 512 = 4*n - p. What is the remainder when n is divided by 12? 7 Suppose 0 = -2*h + 4*k + 43 + 61, -4*h + k + 194 = 0. Calculate the remainder when 84 is divided by h. 36 What is the remainder when (114*(-55)/(-30))/(-1 - -2) is divided by 3? 2 Let x(d) = -7 - d - 4*d**2 + 12*d + 3*d**2 + 4*d. Suppose 8*c - 2*m - 54 = 3*c, -3*c + 4*m = -24. What is the remainder when c is divided by x(14)? 5 Let y = 41 - 26. Suppose 5*q = -4*h + 61 + y, q + 124 = 5*h. Calculate the remainder when h is divided by 9. 6 Suppose 2*w - 4*j + 3 = -1, 2*j + 10 = -w. Let r(f) = -f**2 - 12*f - 9. Suppose 8*s - 27*s + 133 = 0. Calculate the remainder when r(w) is divided by s. 6 Calculate the remainder when 289 is divided by -1 - 2 - (15 - 21). 1 Let l(k) = k**2 - 11*k + 25. Let h be l(6). What is the remainder when h + 28 - (-5 + (-2)/(-2)) is divided by 20? 7 Suppose -3*r = -4*l + 5 + 34, -3*l + 42 = 2*r. What is the remainder when 155 is divided by l? 11 Calculate the remainder when (24/30)/((-192)/(-95) + -2) is divided by 10. 8 Let u be 12/(-24) + (-9)/(-2). Let y(n) be the first derivative of n**2/2 - 3*n - 1. Calculate the remainder when 1 is divided by y(u). 0 Suppose 0*g - g = -64. Suppose 0 = -32*t + 29*t - 36. Let c(x) = -x**3 - 11*x**2 + 11*x - 1. Calculate the remainder when g is divided by c(t). 9 Suppose 0 = -24*z + 773 - 5. What is the remainder when z is divided by ((-2)/2)/((-8)/104)? 6 Calculate the remainder when 351 is divided by 16 - ((-66)/44 - 39/(-6)). 10 Let k(d) = d**2 + d + 248. Let t = 10 + -10. Let p be k(t). What is the remainder when p/(-12)*(-9)/6 is divided by 8? 7 Let q(d) = -d**3 - 10*d**2 - 11*d - 7. Let i be q(-9). Suppose -12 = 2*w - 5*z, 51 = 5*w + 5*z + i. Calculate the remainder when 11 is divided by w. 3 Let t be -6 + 80/8 + 99/(-3). Suppose 2*c - 56 = 4*c - 2*v, 15 = 5*v. Let m = c - t. Calculate the remainder when 13 is divided by m. 1 Suppose 176*l = 510 + 3279 + 1843. Let g(i) = -92*i**3 + 2*i**2 - 1. Calculate the remainder when g(-1) is divided by l. 29 Suppose -2*w + 313 = -85. Let q = -629 + 669. What is the re
{ "pile_set_name": "DM Mathematics" }
5 = -2*r, 3*k - w = -r - 3*r. What is the remainder when r is divided by 9? 3 Let h(c) = c**3 + c**2 - 4*c + 2. What is the remainder when 24 is divided by h(0)? 0 Let w be 221/52*(0 - 4). Let h = w + 32. What is the remainder when 42 is divided by h? 12 Let i(j) = j**3 - 4*j**2 + 7*j - 5. Calculate the remainder when 60 is divided by i(4). 14 Let r(z) = z**2 + 2*z**2 - z**2 - 3*z - 11 + 3*z**2. What is the remainder when r(-4) is divided by 28? 25 Let b(c) = 29*c - 1 + 1 + 13*c - 1. Let d(g) = g**3 + 27*g**2 + 26*g + 21. Calculate the remainder when b(2) is divided by d(-26). 20 Let s(j) = 2*j**3 + 15*j**2 - 4*j - 25. Calculate the remainder when 207 is divided by s(-7). 51 Suppose 0 = 4*m - 8*l + 7*l + 61, 5 = l. Let h(k) = k**3 + 16*k**2 + 26*k - 9. What is the remainder when 56 is divided by h(m)? 18 Suppose 22 = -3*h + 127. Suppose -n = 3 - 16. What is the remainder when h is divided by n? 9 Suppose 4*i = -i + 25. Suppose -184 = -4*m + 2*n, 0*n = i*m - n - 233. Calculate the remainder when m is divided by (25/4)/(1/4). 22 Let k(a) = -2*a - 4. Calculate the remainder when 6/(-4) + (-110)/88*136/(-20) is divided by k(-5). 1 Suppose 0 = 11*f - 166 - 76. What is the remainder when 43 is divided by f? 21 Let c(h) = 19*h + 3. Let m be 3/6*(3 - -1 - 2). Calculate the remainder when 43 is divided by c(m). 21 Let p be (55/10 + -5)*2. Calculate the remainder when 20 is divided by 208/24 - p/(-2 + -1). 2 Let m(n) be the second derivative of n**5/4 - n**3/2 + n**2/2 - 10*n. What is the remainder when m(2) is divided by 10? 5 Let i = 245 - 229. What is the remainder when 54 is divided by i? 6 Let r(j) = -4*j + 3. Let g(v) = 4*v - 1. Let c be g(1). Let w be r(c). Calculate the remainder when 21 is divided by (w + 3)*(-4)/3. 5 Let h = 46 + 129. What is the remainder when h is divided by 22? 21 Suppose -6*k + 3*k = 33. Let c(t) = -t**3 - 11*t**2 - 5*t - 9. Calculate the remainder when c(k) is divided by 12. 10 Suppose -4*d - 30*c = -31*c - 96, -3*d - c + 79 = 0. Calculate the remainder when 417 is divided by d. 17 Let r = -629 - -648. Let g = -12 + 23. Calculate the remainder when r is divided by g. 8 Suppose 22 = b - 3. Calculate the remainder when b is divided by 261/609 + (-46)/(-7). 4 Let b(o) = 6*o - 72. What is the remainder when b(22) is divided by 15? 0 Let j(c) = 8. Let m(b) = b + 16. Let v(g) = 5*j(g) - 3*m(g). Suppose -148 = -2*n - 22. Calculate the remainder when n is divided by v(-8). 15 Suppose 5*q - 19 = 26. Let k = q + 16. Calculate the remainder when 2*3/3 + 96 is divided by k. 23 Calculate the remainder when 151 is divided by -13*(12 + (-65)/5). 8 Suppose 2*i - 28 = -5*i. Suppose -3*g - 5*o + 41 = 0, -i*g - o + 20 = -12. Calculate the remainder when g is divided by 3. 1 Suppose 0 = m - 5*i + 8, 4*m + 0*m - 12 = -2*i. Suppose 0 = 3*g - 4*g - 23. Calculate the remainder when 40 is divided by 1 - g - (5 - m). 19 Suppose 0 = -14*y - y + 600. What is the remainder when 157 is divided by y? 37 Let h(y) = y**2 + 4*y + 9. Let s be h(-6). Let l = 50 - s. Let t(j) = -j**2 + 8*j - 5. What is the remainder when l is divided by t(3)? 9 Let b = 23 + -2. Calculate the remainder when 37 is divided by b. 16 Let z be (-1)/2*0/11. Suppose z*k - 2*x - 23 = -3*k, 0 = 5*x - 10. Let m = -4 + k. What is the remainder when 12 is divided by m? 2 Suppose 28 = -3*s + 10. Suppose 3*b - 43 = -4. Calculate the remainder when 2 - ((-42)/s)/((-1)/5) is divided by b. 11 Let y(z) = -8*z + 4. Let f be -3*(-2)/3 - -4. Suppose f = -2*u - 0*u. What is the remainder when y(u) is divided by 10? 8 Suppose 2*o - 35 = -5*x, 0 = -4*o + o. Suppose -2*m + 41 - 33 = 0. Suppose 3*j - r - 19 = 0, m*j = r + 7 + 17. Calculate the remainder when x is divided by j. 2 Suppose 62*h = 54*h. Suppose h = -6*i - 21 + 99. Let j(w) = 8*w. What is the remainder when j(6) is divided by i? 9 Suppose -5*u + 5*l + 235 = -2*u, -5*l - 305 = -4*u. Suppose -4*m = -5*c - 56, 0*c + 2*c = -5*m + u. Calculate the remainder when 97 is divided by m. 13 Calculate the remainder when 124 is divided by ((-1152)/54)/((-6)/9). 28 Let t be (-3)/((-18)/(-38))*-9. Suppose 3*z + t = 5*s, -5*s = 4*z - 22 - 42. What is the remainder when s is divided by 5? 2 Let d = 92 - -50. What is the remainder when d is divided by 29? 26 Suppose 0*r - r + 4*g = 22, 98 = -3*r + 4*g. Let s = r - -71. Let a = s - 15. Calculate the remainder when 68 is divided by a. 14 Let l(f) = f**3 + 5*f**2 - f + 7. Let h(s) = s**3 + 3*s + 46. Let j be 6/54 + 20/(-18) + 1. What is the remainder when h(j) is divided by l(-5)? 10 Let w(b) = -b**2 + 7*b. Let f be w(7). Suppose -m + f*m - 5*a = -83, 0 = -3*m - 2*a + 197. What is the remainder when m is divided by ((-1)/(-2))/((-2)/(-52))? 11 Let a = 38 - 26. Let f = -12 + a. Suppose -2*g + g + 9 = f. What is the remainder when 26 is divided by g? 8 Suppose 4*d - 3*a - 440 = 0, -2*d + 218 = -0*a - a. Calculate the remainder when 2351 is divided by d. 104 Suppose -5*g = -5*u + 4*u - 4, u = -5*g - 4. Let p = g + 29. What is the remainder when p is divided by 8? 5 Let g = -178 - -184. Calculate the remainder when 6 is divided by g. 0 What is the remainder when 8 - (-13)/((-91)/(-2590)) is divided by 97? 87 Let v be (533/(-26))/(2/8). Let r = v + 157. Calculate the remainder when r is divided by 19. 18 Let b be 1/2 + (55/10 - 6). Let i(f) = -f + 6. Let w be i(5). Calculate the remainder when 20 is divided by -7*(-1 - b/w). 6 Let t be ((-41)/2 - 1)*-2. Let z = t - 29. Suppose 86*u + 157 = 3*w + 81*u, -1184 = -22*w + 4*u. Calculate the remainder when w is divided by z. 12 Suppose -3*q + 54 + 48 = 0. Let o = -6 + q. What is the remainder when 54 is divided by o? 26 Calculate the remainder when -8*(-12)/(-96)*282/(-2) is divided by 24. 21 Let v(g) = 2*g**2 + 9*g - 2. What is the remainder when 130 is divided by v(-7)? 31 Let f = 3 + -1. Suppose -2*b - 2*t + 46 = -b, 0 = f*b - 4*t - 52. Calculate the remainder when 69 is divided by b. 33 Let a(f) = f + 1. Let v be a(1). Suppose 7*y = v*y + 150. Let b(m) = -m**2 - 22*m + 17. Calculate the remainder when b(-18) is divided by y. 29 Suppose -2*p - 9 = -93. Suppose 3*z - z - p = 0. Calculate the remainder when z is divided by 12. 9 Suppose 3*d + 2*d - 782 = -2*c, d = 2. Calculate the remainder when c is divided by 97. 95 Suppose -g + 4*g = -w + 673, -g - 5*w = -229. Let t = -286 + 331. Calculate the remainder when g is divided by t. 44 Let k(p) = -p**2 + p - 84. Let o be k(0). What is the remainder when -2 - 3/(9/o) is divided by 14? 12 Let q = 89 + 83. Suppose p - 3*y = 49, -5*p + 13*y = 10*y - 281. Calculate the remainder when q is divided by p. 56 Let j(r) = -35*r - 30. What is the remainder when j(-2) is divided by (21/(-3))/((-1)/2)? 12 Suppose -z - 70 = -4*z + 4*i, 3*i + 48 = 2*z. Suppose -2*g + 28 = 100. Let c = 33 - g. What is the remainder when c is divided by z? 15 Suppose 0*n + n - 6 = 0. Suppose -p - 7 - n = q, -p + 2*q - 7 = 0. Let i = 16 + p. Calculate the remainder when 13 is divided by i. 3 Let q be -1 + (-2 - 4/(-2)). Let l be -1 + 3 - q - -34. Suppose -4*t = -2*w + 18, -2*w - 7 = -t - l. Calculate the remainder when 82 is divided by w. 14 Let m(o) = 5*o - 45. Let i be m(11). Suppose 3*t - i*t + 56 = 0. What is the remainder when t is divided by 6? 2 Suppose -28*h = -354 - 94. Calculate the remainder when 26 is divided by h. 10 Suppose -122*a = -121*a. Suppose -2 = -2*l, a = 4*p + 2*l - 54 - 276. What is the remainder when p is divided by 23? 13 Let a(i) = -i**2 - 20*i - 6. Let k be (-96)/4 + 0 + 5. Calculate the remainder when 32 is divided by a(k). 6 Suppose -6219*x + 6210*x + 837 = 0. Calculate the remainder when 194 is divided by x. 8 Let w = -615 - -644. What is the remainder when 84 is divided by w? 26 Let j(b) = 3*b**3 + b**3 + 3*b - 3*b**3 - 7*b**2 - 14 + 10. Calculate the remainder when j(7) is divided by 10. 7 Let a = -41 - -41. Suppose 3*h - g + 85 - 409 = a, g + 542 = 5*h. What is the remainder when h is divided by 28? 25 Suppose -5*a - 2*b + 4 = -389, -a = 5*b - 74. Suppose -3*d + y + 49 = -0*d, 3*d + 5*y - a = 0. What is the remainder when (-10 + 1 + 8)*1*-68 is divided by d? 14 Let k(y) = -7*y - 17. Let m be k(-3). Calculate the remainder when 40 is divided by (-4 + 70/4)*m/6. 4 Let w(b) = -b**3 + 5*b**2 - 3*b - 1. Let l be w(4). Suppos
{ "pile_set_name": "DM Mathematics" }
of sequence fo? 1/7 What is prob of sequence jj when two letters picked without replacement from jjjjjjjjjttjjjjjtjt? 35/57 What is prob of sequence gr when two letters picked without replacement from rhg? 1/6 What is prob of sequence qqrr when four letters picked without replacement from uqnukqqunkrqnqnfqrqu? 7/9690 What is prob of sequence po when two letters picked without replacement from ppoppopaooppppopo? 15/68 Two letters picked without replacement from {q: 1, e: 2}. Give prob of sequence eq. 1/3 What is prob of sequence yru when three letters picked without replacement from {x: 4, k: 1, u: 1, r: 2, y: 3}? 1/165 Four letters picked without replacement from aiooi. What is prob of sequence ooai? 1/30 Calculate prob of sequence mmrr when four letters picked without replacement from {r: 13, m: 5}. 13/306 Four letters picked without replacement from bbbybcyy. Give prob of sequence yycy. 1/280 Calculate prob of sequence tttt when four letters picked without replacement from {t: 4, p: 6}. 1/210 Calculate prob of sequence nd when two letters picked without replacement from {d: 3, n: 3}. 3/10 What is prob of sequence ccww when four letters picked without replacement from {c: 11, l: 1, w: 5}? 55/1428 What is prob of sequence fudf when four letters picked without replacement from fuuufufufd? 1/84 Calculate prob of sequence kkn when three letters picked without replacement from {n: 2, d: 1, k: 6, s: 5, m: 1}. 2/91 Four letters picked without replacement from ayauuaayaayyuau. Give prob of sequence auaa. 1/39 Three letters picked without replacement from {f: 7}. Give prob of sequence fff. 1 Three letters picked without replacement from {c: 8, s: 3}. What is prob of sequence css? 8/165 Two letters picked without replacement from {s: 3, f: 13}. Give prob of sequence sf. 13/80 Three letters picked without replacement from qegeauu. Give prob of sequence uea. 2/105 Three letters picked without replacement from cllnlccl. Give prob of sequence clc. 1/14 Three letters picked without replacement from {l: 1, o: 3, y: 1}. What is prob of sequence oyl? 1/20 What is prob of sequence yuk when three letters picked without replacement from {y: 2, u: 1, k: 1, o: 1}? 1/30 What is prob of sequence se when two letters picked without replacement from {e: 5, s: 2}? 5/21 Calculate prob of sequence hhls when four letters picked without replacement from hoohohohshshplllh. 3/680 What is prob of sequence kh when two letters picked without replacement from gghkikghhghhgii? 1/21 Calculate prob of sequence tnn when three letters picked without replacement from {n: 4, t: 6}. 1/10 Two letters picked without replacement from ucuuuumudiruumu. Give prob of sequence um. 3/35 Three letters picked without replacement from kkgkkggkgkkgkggk. Give prob of sequence kgg. 9/80 Two letters picked without replacement from ddtbb. What is prob of sequence tb? 1/10 Two letters picked without replacement from {b: 7, e: 6}. Give prob of sequence bb. 7/26 Two letters picked without replacement from {u: 1, s: 7}. Give prob of sequence ss. 3/4 Two letters picked without replacement from wnww. Give prob of sequence nw. 1/4 Three letters picked without replacement from {j: 1, w: 1, t: 3}. What is prob of sequence tjw? 1/20 What is prob of sequence ht when two letters picked without replacement from agthtrgraptg? 1/44 Calculate prob of sequence gr when two letters picked without replacement from gghhggrttrhthgrghhg. 7/114 Calculate prob of sequence vvvv when four letters picked without replacement from vvsvvsvvvvvvv. 6/13 Four letters picked without replacement from {t: 7, x: 7}. Give prob of sequence txtt. 35/572 What is prob of sequence mmru when four letters picked without replacement from {r: 6, q: 1, m: 2, h: 5, u: 3}? 3/4760 Four letters picked without replacement from {y: 2, z: 8}. What is prob of sequence zyyz? 1/45 Two letters picked without replacement from tsavxxy. Give prob of sequence yx. 1/21 Calculate prob of sequence ggu when three letters picked without replacement from uuwuwuwwuggau. 1/143 Three letters picked without replacement from {k: 1, b: 3, f: 2, v: 1, y: 3}. Give prob of sequence ybv. 1/80 Four letters picked without replacement from otototottoto. Give prob of sequence ttot. 2/33 Four letters picked without replacement from lleessllsle. What is prob of sequence sese? 1/220 What is prob of sequence ccc when three letters picked without replacement from vcvccnncv? 1/21 Four letters picked without replacement from {z: 3, x: 4, n: 2, e: 7, d: 1}. What is prob of sequence xxen? 1/340 Four letters picked without replacement from {p: 6, x: 4, q: 2, v: 6}. Give prob of sequence xvpv. 1/102 Two letters picked without replacement from kykikkkyykkgkgkyk. What is prob of sequence ig? 1/136 What is prob of sequence yp when two letters picked without replacement from nnypn? 1/20 Three letters picked without replacement from yyeeyefzfyzy. Give prob of sequence eee. 1/220 Three letters picked without replacement from {l: 6, r: 4, k: 4, p: 1}. What is prob of sequence prk? 8/1365 What is prob of sequence xxbb when four letters picked without replacement from {i: 5, x: 3, b: 3}? 1/220 What is prob of sequence vee when three letters picked without replacement from eeeseessecvesv? 1/26 Four letters picked without replacement from hhhhhzhhhhhhhhh. What is prob of sequence zhhh? 1/15 Three letters picked without replacement from {m: 6, u: 9, r: 2, p: 2}. What is prob of sequence mum? 15/323 Calculate prob of sequence rrr when three letters picked without replacement from {x: 11, r: 6, i: 2}. 20/969 Calculate prob of sequence rerr when four letters picked without replacement from ijrirrrirkrrrrcerii. 5/646 Calculate prob of sequence yy when two letters picked without replacement from {d: 2, y: 6, l: 1, n: 2, f: 1}. 5/22 What is prob of sequence fsf when three letters picked without replacement from {s: 3, c: 6, f: 4, m: 2}? 6/455 What is prob of sequence hd when two letters picked without replacement from {h: 3, m: 1, d: 3}? 3/14 Four letters picked without replacement from lnwwwlnllwnlw. What is prob of sequence nnwl? 5/572 What is prob of sequence ew when two letters picked without replacement from eaaww? 1/10 Two letters picked without replacement from {d: 4, p: 8, h: 4}. Give prob of sequence dh. 1/15 What is prob of sequence qqdy when four letters picked without replacement from qoqooooyd? 1/1512 Two letters picked without replacement from {b: 1, d: 1, k: 1, v: 1, p: 1, c: 2}. Give prob of sequence dp. 1/42 What is prob of sequence jaa when three letters picked without replacement from {w: 3, a: 4, j: 4}? 8/165 What is prob of sequence lf when two letters picked without replacement from llllllllllff? 5/33 Two letters picked without replacement from rrdrdvrwwrrdvvr. Give prob of sequence dr. 1/10 Four letters picked without replacement from {k: 10, e: 10}. Give prob of sequence ekek. 45/646 Calculate prob of sequence vww when three letters picked without replacement from {w: 1, x: 1, h: 1, v: 2}. 0 Three letters picked without replacement from {q: 10, f: 10}. What is prob of sequence qqf? 5/38 Calculate prob of sequence ssl when three letters picked without replacement from llllllsllllsslll. 13/560 Calculate prob of sequence ee when two letters picked without replacement from {e: 3, t: 17}. 3/190 Two letters picked without replacement from {i: 2, k: 2}. Give prob of sequence ii. 1/6 Three letters picked without replacement from onyoynyo. What is prob of sequence nyy? 1/28 What is prob of sequence osw when three letters picked without replacement from {o: 1, s: 5, b: 3, u: 1, w: 1, v: 1}? 1/264 What is prob of sequence sshv when four letters picked without replacement from vshhhhuhvsvuvhu? 2/1365 What is prob of sequence eeb when three letters picked without replacement from ebeeembmememe? 7/143 Calculate prob of sequence zuj when three letters picked without replacement from {l: 2, w: 2, j: 1, z: 1, u: 1, n: 1}. 1/336 Two letters picked without replacement from {p: 3, v: 2}. What is prob of sequence vv? 1/10 What is prob of sequence itxx when four letters picked without replacement from {x: 4, t: 1, i: 2}? 1/35 Calculate prob of sequence jx when two letters picked without replacement from jjx.
{ "pile_set_name": "DM Mathematics" }
y**2 - 4*y. Determine 3*b(n) + p(n). -2*n**2 - n Let a = -30 - -34. Let f(n) = 2*n**3 - 4*n**2 - 6*n - 4. Let v(c) = -c**3 + c**2 + c + 1. What is a*v(x) + f(x)? -2*x**3 - 2*x Let t(k) = -k. Let o(j) = j**3 + 3*j**2 - 4*j. Let r be o(-4). Let p(n) be the first derivative of -1/2*n**2 + r*n - 2. What is 4*p(z) - 2*t(z)? -2*z Let n be (-136)/(-120) - 4/30. Let a(m) = 20*m + 12*m - 9*m - n + 3*m. Let y(d) = -5*d. Calculate 2*a(p) + 11*y(p). -3*p - 2 Let z(l) = -l - 4. Let n be z(-6). Let i(r) = r**2 - 1. Let h(q) = -1. Suppose 0 = -3*b - 1 - 2. Calculate b*i(m) + n*h(m). -m**2 - 1 Let u(i) = -57*i**3 + 4*i**2 + 3. Let f(o) = -o**3 - o**2 - 1. What is 3*f(z) + u(z)? -60*z**3 + z**2 Let g(p) = -p + 2. Let a(w) = -16 - 4*w + 7*w + w. Let q(f) = -1. Let c(z) = -a(z) + 8*q(z). Suppose 0 = -s - i + 5*i + 2, 4*i = -2*s - 8. Give s*c(r) + 9*g(r). -r + 2 Let x(y) = 23*y**2. Let h(s) = 92*s**2. What is 6*h(c) - 23*x(c)? 23*c**2 Let z(t) be the first derivative of t**3/3 - t**2 + 2*t - 1. Let n = 4 + -7. Let w(i) = -1. Let s be (5/(-20))/(1 + (-3)/4). Calculate n*w(f) + s*z(f). -f**2 + 2*f + 1 Let x = -8 + 3. Suppose -3*o + 0*o + 3*v + 18 = 0, -3*v - 2 = o. Let f(g) = -3*g - 7. Let k(s) = -5*s - 14 + 3*s + 8. Calculate o*f(u) + x*k(u). -2*u + 2 Let c be 40/6 + (-8)/12. Suppose c = b + 2*b. Let h(i) = -3*i**2 + 5*i**b - i**2 + 3*i**3 + 7*i. Let v(n) = -n**3 - 3*n. Determine -2*h(w) - 5*v(w). -w**3 - 2*w**2 + w Let n(w) = -1. Let y(i) = 5*i - 9. Let f(j) = j - 1. Let a(t) = -6*f(t) + y(t). Suppose -2*m + 3 = -m. Suppose -16 = m*o + 2. Give o*n(k) + 2*a(k). -2*k Let g(r) = -r - 1. Let i be (-11)/(-11) + (14 - 1). Let p(f) = f**2 - 7*f - 7. Determine i*g(v) - 2*p(v). -2*v**2 Let l(w) = -w**2 - 2*w. Suppose 2*n + 2*n = -8. Let c(k) be the third derivative of -k**4/8 + 25*k**2 - 3. Calculate n*c(p) + 3*l(p). -3*p**2 Suppose -13*s = -5*s + 8. Let u(m) = -2*m - 1. Let a(x) = x. Calculate s*a(h) - u(h). h + 1 Let u(a) = -2. Let f = -1 - -2. Let m(b) = b + 2. Give f*u(k) + 2*m(k). 2*k + 2 Let j(s) = s. Let l(w) = 6*w. Let n be 1*-3 - 64/(-16). Determine n*l(t) - 3*j(t). 3*t Let j(a) = -2*a**2. Let x(k) = 3*k**2 - k**2 + 0*k**2. Let u = -19 - -29. Suppose u*g + 24 = 6*g. What is g*x(f) - 7*j(f)? 2*f**2 Suppose 10 = 3*c + 1. Let o(k) = -2*k**2 - c + 5*k + 0 - 2. Let t(s) = s**2 - 3*s + 3. Let z be 4/14 - 33/(-7). Give z*t(g) + 3*o(g). -g**2 Let l(h) = 10*h**3 - 5*h**2 - 11*h - 11. Let v(p) = 2*p**3 - p**2 - 2*p - 2. Suppose -c - 3 = 2*d + 14, 5*c + d + 58 = 0. Give c*v(a) + 2*l(a). -2*a**3 + a**2 Let j(n) = 2*n + 1. Let y(g) = 10*g + 4. Determine 14*j(q) - 3*y(q). -2*q + 2 Let t(n) = -n - 2. Let a be 4/(-10) + 8/(-5). Let b(d) = -d**2 + d. Give a*b(j) - t(j). 2*j**2 - j + 2 Let r(k) = -4*k**2 - 2*k. Suppose -4*c + 0 - 32 = 0. Let w(l) = -11*l**2 - 6*l. Let o(x) = x**2 + x - 27. Let d be o(-6). Determine c*r(u) + d*w(u). -u**2 - 2*u Let d(b) = -1. Let n(y) = 20*y + 8. Calculate 8*d(u) + n(u). 20*u Let w(m) = m. Let o(s) = s**2 - 6*s - 2. Give -o(h) - 6*w(h). -h**2 + 2 Let u(d) = -3*d**3 - 17*d. Let z(k) = k**3 - k. Calculate -u(s) - 4*z(s). -s**3 + 21*s Let l(y) = -5*y - 270 - 5*y**2 + 0*y**3 + 3*y**3 + 267. Let w(h) = -h**3 + h**2 + h. Calculate -l(j) - 5*w(j). 2*j**3 + 3 Let b(i) be the third derivative of -i**4/8 + i**3/6 + 7*i**2. Let t(m) = -4*m + 1. Determine -5*b(q) + 4*t(q). -q - 1 Let a(h) = 13*h**3 + 7*h**2 + 7*h + 112. Let b(d) = 9*d**3 + 5*d**2 + 5*d + 75. Calculate -5*a(i) + 7*b(i). -2*i**3 - 35 Let k(r) = 4*r**2 - 11*r - 11. Let t(d) = 2*d**2 - 5*d - 6. What is 6*k(g) - 11*t(g)? 2*g**2 - 11*g Suppose 2*a + 0 = -2. Let d be 0 + (4 + a)/(-1). Let u(n) = -4 + 6 + 0*n + n + 2. Let i(k) = 1. Calculate d*i(r) + u(r). r + 1 Let i(d) = d - 11. Let w be i(14). Let r(g) = 2*g**3 - 8*g**3 - g**2 - 4*g + 2*g**w + 5. Let y(z) = z**3 + z - 1. Give -r(p) - 5*y(p). -p**3 + p**2 - p Let f(k) = 3*k**2 - 3*k - 2. Suppose 2*r = 4*r - 22. Let i(h) = 16*h**2 - 16*h - 11. Determine r*f(x) - 2*i(x). x**2 - x Let q(v) = 7*v**2 + 9*v - 13. Suppose 4*h + 8 = u + 3*h, -47 = -5*u - 2*h. Let n(t) = -t. Let m be n(-4). Let g(b) = -3*b**2 - 4*b + 6. Give m*q(r) + u*g(r). r**2 + 2 Let c(j) = 10. Let s(f) = f - 9. Determine -6*c(d) - 7*s(d). -7*d + 3 Let s(f) = 3*f + 2*f + 10 - 11 - 4*f. Let c(k) = -5*k + 2. What is -c(i) - 6*s(i)? -i + 4 Let m(w) = w**3 - w**2 + w. Let d(q) = q**3 - 3*q**2 + 8*q + 1. Calculate d(o) - 3*m(o). -2*o**3 + 5*o + 1 Let b(g) = -6*g - 2. Let d(c) = -5*c - 2. Let v be (3 - -1) + -5 + 8. Calculate v*d(m) - 6*b(m). m - 2 Let m(p) = -5*p**2 - 13*p + 47. Let k(q) = q**2 + 3*q - 12. Calculate 9*k(s) + 2*m(s). -s**2 + s - 14 Let i(m) = -5*m + 10. Let t(z) = 6*z - 17. Let h(f) = 2*f - 6. Let a(x) = 8*h(x) - 3*t(x). Determine 10*a(r) - 3*i(r). -5*r Let s = 6 - 8. Suppose 0 = -4*b + 7 + 9. Let o = b + s. Let y(g) = 4*g**2 - 4*g + 2. Let h(k) = 9*k**2 - 9*k + 5. Calculate o*h(q) - 5*y(q). -2*q**2 + 2*q Let i(n) = 2*n**2 + 2*n + 4. Suppose -3*p + 42 = -10*p. Let s(f) = -3*f**2 - 3*f - 7. Calculate p*s(z) - 10*i(z). -2*z**2 - 2*z + 2 Let u(s) = -6*s + 5. Suppose 11*p - 84 = -3*p. Let q(j) = 5*j - 4. Calculate p*u(g) + 7*q(g). -g + 2 Let q(n) = n**2 + 3. Let d be q(0). Let k(y) = -y**2 - 2*y - 3. Let j(u) = u**2 + 1. Give d*j(v) + k(v). 2*v**2 - 2*v Let p(q) = -5*q + q - 1 + 7. Suppose -5*o = 19 + 11. Let m(i) = 7*i - 2*i - 6*i + 1. Give o*m(r) + p(r). 2*r Let r(f) = 13*f. Let t(x) = 6*x. Give -6*r(l) + 15*t(l). 12*l Let a(k) = -3*k - 8. Let u(g) = -3*g - 1. Let h(t) = 16*t + 4. Let z(w) = -2*h(w) - 11*u(w). What is -4*a(i) - 11*z(i)? i - 1 Let x(y) = -481*y. Let z(r) = 15*r. What is 2*x(l) + 65*z(l)? 13*l Suppose 4*k + 6 = 2*k. Let n(c) = 2*c**2. Let l(t) = -8*t**2. Let x(f) = 23*f**2. Let a(d) = -17*l(d) - 6*x(d). What is k*n(u) - 2*a(u)? -2*u**2 Let g(m) = -2*m**2 + 4*m - 7. Let b = 13 + -8. Let i = -1 - 6. Let l(y) = -3*y**2 + 6*y - 10. Calculate b*l(a) + i*g(a). -a**2 + 2*a - 1 Let t(l) = 7*l**2 + 3*l. Let w(y) = -6*y**2 - 4*y + 1. Calculate -3*t(z) - 2*w(z). -9*z**2 - z - 2 Let k(y) = 3*y + 3. Let j(a) = -a + 1. Let p be j(-2). Let u = 7 - p. Let x(v) = -10*v - 10. Suppose -4*l + 15 = 4*m - 21, 24 = m - 2*l. Give m*k(z) + u*x(z). 2*z + 2 Let p(j) = -9*j**2 - 32*j + 3. Let f(t) = 3*t**2 + 11*t - 1. What is 7*f(s) + 2*p(s)? 3*s**2 + 13*s - 1 Let b(s) = s. Let g(z) = z - 1. Calculate 2*b(t) - g(t). t + 1 Let g(n) = n + n + 5*n**2 - 2 + 2*n**3 - 2*n**2. Let f(m) = 2*m + 4*m**3 - 3 - 112*m**2 + 116*m**2 - m**3. Determine 3*f(s) - 4*g(s). s**3 - 2*s - 1 Let k(n) = n**3 + 2*n**3 - 6*n - 11 + 2*n**3 - 11*n**2. Let f(v) = -4 + 2*v**3 - 4*v + 2*v - 4*v**2 + 0*v**2. What is 11*f(x) - 4*k(x)? 2*x**3 + 2*x Let f(m) = 4*m + 85. Let h(t) = 2*t + 43. What is 4*f(o) - 7*h(o)? 2*o + 39 Let t(b) = b - 4. Let w(c) = -c. Let n(g) = -6*g + 5. Suppose 2*i - 5*o = -30, 2*o + o - 32 = 4*i. Let d(r) = i*w(r) + n(r). Calculate -5*d(q) - 6*t(q). -q - 1 Let u(g) be the second derivative of -2*g**3/3 - 5*g**2/2 - 2*g. Suppose 0 = -5*c + m, -4*c = 2*m - 9 - 5. Let s(r) = -c + 5 + r - 3. What is 10*s(v) + 2*u(v)? 2*v Let o(j) = -3*j**2 - 5*j + 5. Let n(g) = -2*g**2 - 3*g + 3. Let b(f) = -f + 8. Let z be b(3). Give z*n(s) - 3*o(s). -s**2 Let a = 7 + 4. Let y = -7 + 5. Let w(h) = -10*h - 11. Let c(s) = -2*s - 2. Determine a*c(p) + y*w(p). -2*p Let p(w) = -5*w**3 - w**2 - 9*w - 1. Let s(z) = 4*z**3 + z**2 + 8*z + 1. Give 6*p(m) + 7*s(m). -2*m**3 + m**2 + 2*m + 1 Let d be ((-5)/2 + 2)*6. Let v be 8 - (-1)/(d/6). Let c(j) = -j + 5. Let b(h) = h - 6. Give v*c(i) + 5*b(i). -i Let p(c) = -c**3 - c**2. Let j(n) = -12*n**3 - 15*n**2 + 2*n + 3. Let o(a) = -6*a**3 - 7*a**2 + a + 1. Let y(i) = -2*j(i) + 5*o(i). What is -5*p(k) + y(k)? -k**3 + k - 1 Let i(h) = 4*h**2 - 6*h - 3. Let g(d) = 4*d**2 - 7*d - 3. Give 6*g(x) - 7*i(x). -4*x**2 + 3 Let x(s) = -5*s**3 - 10*s**2 + 7. Let g(v) = v**2. Let c(f) = 3*g(f) + x(f). Let j(w) = 4*w**3 + 6*w**2 - 6. Give -6*c(i) - 7*j(i). 2*i**3 Let j(h) be the second derivative of h**4/4 + 2*h**3 - 6*h**2 + 21*h. Let l(x) = x**2 + 5*x - 5. What is -5*j(o) + 12*l(o)? -3*o**2 Let n(q) = 4*q**2 + 4*q - 3. Let s(z) be the second derivative of -z**4/12 - z**3/6 + z**2/2 - 25*z. Let d be (-4 + 0)/((-4)/14). What is d*s(o) + 4*n(o)? 2*o**2 + 2*o + 2 Let a(l) be the second derivative of
{ "pile_set_name": "DM Mathematics" }
*3 + 6*w**2 + 7*w + 2. Let o be y(7). Suppose -o*l = -3*m + 8 - 2, 0 = -l - m + 2. Is 6 a factor of -1 - (2 - l - 10)? False Does 4 divide ((-96)/(-15))/(10/25)? True Suppose 3*o - 8 = j, 1 = -o - 3*j + 7. Let i = 97 + 36. Suppose o = -5*c + i. Does 9 divide c? False Let p(c) = c**3 + 6*c**2 - 3*c + 8. Is 22 a factor of p(-6)? False Let j = -214 - -388. Does 30 divide j? False Suppose 3*f + 52 = 2*q - f, -5*q = 2*f - 94. Suppose 8 = 4*v - q. Is 1/(4 + -3)*v a multiple of 7? True Suppose -4*a = -2*s + 2, a - 3*a = -2*s + 2. Suppose a*q = 4*q - 168. Does 11 divide q? False Suppose d - 4*d = 3*h - 12, 22 = 5*h + 3*d. Let x(p) = 3*p**3 - 13 - 4*p**3 + h - 5*p**2. Is x(-6) a multiple of 10? False Let z be (-4)/(-2) - (2 + -5). Let g = 23 - z. Does 7 divide g? False Let x(b) = b**3 - 10*b**2 - 11*b - 11. Let j(r) = -2*r - 1. Let f be j(-6). Let k be x(f). Let y(d) = d**3 + 12*d**2 + 7*d - 10. Is y(k) a multiple of 19? False Suppose -70 = -5*j + 2*l, 5*j - 4*l = 22 + 38. Does 4 divide 12/j - 135/(-12)? True Let a = 69 + 78. Is 23 a factor of a? False Let i(j) = -j**3 + 17*j**2 - 18*j + 28. Is 26 a factor of i(15)? True Let v = 2 - 0. Let w be -6*((-8)/6)/v. Suppose -m - 15 = -4*l, -2*l - w*m = -3*l - 15. Does 5 divide l? True Let c = 5 + -9. Is 6 a factor of 3 + c/(8/(-14))? False Suppose 19 + 132 = 4*o + v, v + 44 = o. Does 33 divide o? False Let z(n) = n + 10. Is z(-7) a multiple of 3? True Let p(i) = 2*i**2 + i + 2. Let x be p(-3). Suppose 5*g - x = 33. Does 10 divide g? True Let k = -38 + 89. Does 5 divide k? False Let p be (-1)/(-4) + 15/20. Let j be p/((6/3)/4). Is 12 a factor of 6/j + 23 + 1? False Let s(l) = -93*l**3 + l**2 - l - 1. Let o be s(-1). Let r = -65 + o. Is 12 a factor of r? False Suppose 97 = 5*w + 17. Is w a multiple of 6? False Let i = 118 + -77. Suppose 2*p = o + 5*p - 41, 0 = o + p - i. Does 16 divide o? False Is (-64)/36 + 2 - 530/(-45) a multiple of 3? True Let g = -2 - -25. Suppose 3*q + 6 - g = 2*m, -m - 40 = -5*q. Suppose -4*y - q + 49 = 0. Does 5 divide y? True Suppose s - 4*s + 4*f = -16, s = -4*f. Suppose -d - 12 = -g, 3*g + s*d + 2 = 3. Is 4 a factor of g? False Let f(m) = -13*m + 7. Does 30 divide f(-7)? False Suppose -w + 2*x + 91 = -26, 0 = 2*w + x - 234. Suppose -w = -3*z + 6*j - 4*j, z = j + 39. Let c = z + -5. Is 17 a factor of c? True Let v = 39 + 52. Let q = v + -39. Does 23 divide q? False Suppose -25 = -3*n - 2*n. Suppose 0*o - n*o = 2*r - 71, -3*r - 5*o = -119. Is 22 a factor of r? False Let p(g) = 0*g - 4*g + 5*g. Let o be p(3). Suppose -5*v + 0*v = -5*y - 50, -4*v - o*y + 12 = 0. Does 6 divide v? True Let p be 1 - ((-1 - 0) + 1). Let h = -31 + 16. Let c = p - h. Is 7 a factor of c? False Suppose -j + 10 = 4*k, 0 = 4*j - 0*j - k - 108. Is j even? True Suppose -5 = -z - u + 32, -164 = -4*z + 4*u. Does 4 divide 150/z - 4/(-26)? True Let x = 14 + 14. Is 14 a factor of x? True Let k = -14 + 42. Does 14 divide k? True Let l be (-2)/3 - (-2)/3. Suppose -3*i - 12 = -2*r, -4*r - 2*i + 3*i + 14 = 0. Let y = r + l. Is 3 a factor of y? True Let v = -5 + 6. Suppose 5*l + v = 31. Is 3 a factor of l? True Suppose 3*g - 83 = 22. Let h be g/(-14)*12/10. Let y = 3 - h. Is 6 a factor of y? True Let g(u) = -u**2 + 4*u + 1. Let x be g(5). Let i = 8 + x. Suppose -i*z - z = -125. Does 10 divide z? False Let d(o) = 5*o + 1. Let r be d(1). Suppose c + 240 = r*c. Does 21 divide c? False Let w = 10 - 2. Suppose -10*s + 24 = -w*s. Does 3 divide s? True Let s(b) = -8*b + 0 - 1 - 5*b. Is s(-4) a multiple of 14? False Let s be (-2 - 174/(-9))*3. Suppose 2*f - s = 38. Is 15 a factor of f? True Let o(b) = b**3 - 5*b**2 + 3*b. Is o(5) a multiple of 7? False Suppose -4*u + 3 - 15 = 0, -2*r = -u - 21. Does 2 divide r? False Suppose 0 = 4*b + 7 - 19. Suppose -10 = -b*c + 20. Is c a multiple of 5? True Let h(p) be the first derivative of -p**4/6 - 5*p**3/3 + 3*p**2/2 - 2. Let q(s) be the second derivative of h(s). Is 8 a factor of q(-10)? False Let s(j) = -j**2 - 2*j. Let l be s(-3). Let u(d) = -3*d - d + 1 + d + 0*d. Is u(l) a multiple of 5? True Let w(s) = -s**2 + 20*s + 9. Does 13 divide w(18)? False Let n(i) be the third derivative of i**6/120 + i**5/60 - 5*i**4/24 + 2*i**3/3 - 3*i**2. Is n(3) a multiple of 13? False Suppose -2*p + 3*q + 3 - 79 = 0, 4*p = 4*q - 144. Let z = p + 5. Let u = z - -59. Is u a multiple of 18? False Let f(d) = 62*d**2 + 2*d. Let s be 6/15*5/2. Is 16 a factor of f(s)? True Let z = -120 + 180. Is 15 a factor of z? True Let h(u) = 3*u - 13. Is 14 a factor of h(23)? True Let a = -56 - -107. Is 25 a factor of a? False Suppose 0 = -2*t - 4*z + 26, -t + 2*z + 22 = -3. Does 8 divide t - 5/((-10)/(-4))? False Suppose 3*l - 648 = -6*l. Is l a multiple of 9? True Suppose 103 + 62 = 11*b. Is b a multiple of 15? True Let a = 37 - 22. Suppose -d + 5*r = -a, -4*d = 3*r + 5 + 4. Suppose 3*o - 17 - 16 = d. Is 11 a factor of o? True Is 8 a factor of 2/12 + (-47)/(-6)? True Suppose 0 = 2*h + 2*s - 816, 0 = 2*h - 2*s + 5*s - 818. Is 27 a factor of 1/(-5) + h/5? True Let l(m) = -1 - 5 + 5*m - 1. Does 16 divide l(8)? False Suppose -4*u = -4*m + 4, 2*u + 3 = -m + 4*m. Suppose u = 2*o - 53 - 109. Is o a multiple of 27? True Let d = -1 + 4. Suppose 0 = -d*k - k + 16. Suppose -5*y = -p - 114, 3*y - 28 = k*p + 54. Does 11 divide y? True Suppose 3*v = 2*v. Suppose v = y + 3. Does 2 divide (2/y)/((-14)/105)? False Suppose 0*q + 2*q - 162 = -4*k, -3*k = -2*q + 169. Suppose -4*i = 3*n - q, 4*i = -8*n + 3*n + 125. Is n a multiple of 13? False Suppose 3 = p - 2. Suppose -p*f = 3*n - 0*n - 32, 3*n - 3*f = 0. Suppose -2*c + 26 = 2*z - 2, -n = -z. Is c a multiple of 4? False Let h(s) = 2*s - 3*s - 2*s + 4. Suppose o + o + 6 = 0. Does 11 divide h(o)? False Is 42 a factor of ((-4)/(-6))/((-8)/24) + 86? True Let m be (-1)/3 + 212/(-3). Let b = -50 - m. Is b a multiple of 9? False Let s(x) = -x**3 - 5*x**2 + x + 7. Let f be s(-5). Suppose 4*i - 4*k - 12 = 0, i + f*k - 19 = -2*i. Suppose 4 = -i*w + w, -4*p + 5*w = -33. Does 7 divide p? True Let w(m) = -3*m + 6. Let c be w(15). Let i = c + 74. Does 9 divide i? False Let y(m) = -5*m**3 + 2*m**2 - m + 2. Let q be y(2). Let p(s) = -s**2 + 10*s + 24. Let c be p(15). Let x = q - c. Does 19 divide x? True Let l = 45 - 29. Is l even? True Let p(t) = -t**3 + 3*t**2 + 2*t. Let w be p(3). Suppose 81 - w = i. Is i a multiple of 15? True Let y(r) = -r**3 - r**2 - r + 22. Suppose 0 = 6*m - 2*m. Is 13 a factor of y(m)? False Suppose 0 = -o - 3*z + 24, -3*o + 5*o - 12 = 3*z. Is o a multiple of 3? True Let v(m) = -10*m - 2. Let r be v(-3). Let t be (3/(-4))/((-7)/r). Suppose 12 = -t*z, 3*q + q - 4 = -4*z. Is 2 a factor of q? False Let s be (-32)/6 - 4/6. Does 6 divide (-5)/15 - 140/s? False Suppose 4*a - 5 = 3. Is 14 a factor of 41/a + (-1)/2? False Suppose u - 9 = 29. Does 17 divide u? False Let p = -96 - -195. Does 37 divide p? False Suppose 0*s = 3*s - 5*u - 37, 9 = s - u. Suppose 3 + 1 = -s*h. Does 9 divide -18*h/((-2)/(-1))? True Let z = -2 + 4. Suppose 0*c + z*c - 30 = 0. Does 15 divide c? True Suppose -8 = -2*c - 2*l, -4*c + 14 = -2*c + 5*l. Is 14 a factor of (-2)/((12/(-51))/c)? False Suppose -2*g + 11 = -f, 0*g - 5*f - 23 = -2*g. Is 2 a factor of (-9)/(-4) - 1/g? True Suppose -51 = -2*u + 5*w, w + 6 = u + 5*w. Is u a multiple of 6? True Let x = -5 + 8. Let o(t) = -t**3 + 4*t**2 - 2*t. Let h be o(x). Suppose -h*m = m - 128. Does 11 divide m? False Let q = -4 + 39. Is 35 a factor of q? True Let l(u) = u**2 - 14*u + 9. Suppose -6*w + 24 = -2*w. Let d be l(w). Let x = 63 + d. Does 15 divide x? False Suppose 0 = -5*p - 5*q - 40, -5*q - 5 - 5 = -5*p. Let t be 184/12 + (-2)/p. Let v = t + 20. Is 18 a factor of v? True Let c = 23 + -15. Suppose -9 = -a + c. Is 6 a factor of a? False Does 5 divide (-8)/(((-6)/(-15))/(-1))? True Let o(t) = t**3 - t + 7. Let a = -19 + 31. Suppose -4*x = a, 0 = -w + 5*x - 0*x + 15. Is o(w) a multiple of 4? False Let l(v) = -16*v. Let o be l(-3). Suppose -75 = -3*p + o. Is p a multiple of 12? False Let n = -25 + 76. Is 11 a factor of n? False Suppose 240 = 5*o - 2*o. Does 20 divide o? True Let w = -9 - -5. Is (0 + -2)*14/w a multiple of 7? True Is 8 a factor of (32/5)/((6 - 10)/(-80))? True Suppose -51 = -q + 12. Is 19 a factor of q? False Is 9 a factor of (-8113)/(-49) - (-1 + 22/14)
{ "pile_set_name": "DM Mathematics" }
702 + 358 - 4*k**4 - k**3 - 35*k**2 + 352 to r + x*k + t*k**3 + n*k**2 + j*k**4 and give n. -35 Express -2*q - 10*q**2 + 2*q**2 - 235 + 31*q**2 - 14*q**2 - 7*q**2 as l*q**2 + z + n*q and give l. 2 Rearrange (4*o**2 - 2*o**2 - 3*o**2)*(0 + 0 - 3)*(-o + 2*o - 3*o)*(98 - 200 - 38 - 6*o) to the form r + x*o**4 + l*o**2 + i*o + g*o**3 and give g. 840 Rearrange 9378*o**2 - 3585*o**2 + 15167*o**2 to the form v*o**2 + r + z*o and give v. 20960 Express (185843*j - j**2 - 92924*j - 92911*j + 71)*(3 + 0 - 1 + (-2 + 1 + 0)*(-4 + 1 + 4)) in the form k*j + d + r*j**2 and give r. -1 Express (2 - 2 - 2)*(-x + x + x) + (-19 - 6 - 6)*(-9*x - 17*x + 16*x) as a*x + n and give a. 308 Express (31*u - 13*u + 21*u)*(-2598 - 179*u + 2598) in the form j + m*u**2 + h*u and give m. -6981 Express ((-4*g + g + 4*g)*(-1 + 1 - 2) - 104*g - 13*g + 8*g)*(563 - 563 - 2*g) as l*g + r + y*g**2 and give y. 222 Express -5*b**4 + 93*b**2 + 98*b**2 - 7 - 193*b**2 + (45 + 4*b**2 - 45)*(-42*b - 19*b**2 + 42*b) as j*b + p*b**2 + q + y*b**3 + d*b**4 and give q. -7 Express (3 - 18 - 35 - 25)*(55 + 79 + 6)*(-3*g + 5*g - g) in the form s + a*g and give a. -10500 Express -2036 + 2030 - 2*j**2 + 3*j**3 - 31*j**2 as h + g*j**2 + f*j**3 + m*j and give f. 3 Rearrange -20*a**3 + 11*a**2 - 27*a + 585 + 29*a - 584 to the form l*a + h + u*a**3 + t*a**2 and give h. 1 Rearrange q - 4*q + q + 2*q**2 + 1 + (-3*q + 5*q + 2*q)*(3 - 3 - 4*q)*(2 - 2 - 3) - 116 - 68*q**2 + 116 to w*q + y + f*q**2 and give w. -2 Express -5*w - 53839*w**3 + 11*w**2 - 11*w**2 + 54003*w**3 as i*w**2 + b*w + h*w**3 + a and give h. 164 Rearrange -2*d**4 - 114*d**3 - 119*d**2 + 403*d + 108*d**3 - 404*d to the form a*d**2 + r + j*d**3 + i*d**4 + g*d and give a. -119 Rearrange -106*d**3 + 633*d**2 - 633*d**2 + (-2*d + 40*d**3 + d - 5 - 41*d**3)*(7 + 2 + 2) to m*d**3 + s*d + x*d**2 + o and give m. -117 Rearrange (11 + 31 + 26)*(0 - 5*p + 0)*(17*p - 8*p + 19*p**2 - 9*p) to n*p**2 + o*p**3 + i*p + v and give o. -6460 Rearrange (43427 - 201*i**2 - 43427)*(86 - 86 - 27*i**2) to the form p*i**3 + w + s*i + u*i**2 + a*i**4 and give a. 5427 Rearrange 189 - 136 - 3*t**2 + 56*t**3 + 2*t - 57*t**3 + 4*t**4 to n*t**3 + c + y*t**4 + k*t**2 + i*t and give i. 2 Express (l + 0*l + 0*l)*(25 - 14 - 8) + 1 + 5 + 6*l + 0 in the form b*l + a and give b. 9 Express 1547*h + 2989*h + 2337*h - 1150*h - 1000*h in the form g*h + x and give g. 4723 Express -9*s**2 + 4 + 5*s**3 - 8*s - 11 - 20*s + 23*s + 5*s**2 in the form h + f*s + z*s**2 + g*s**3 and give z. -4 Express 2*l + 27*l + 8*l + (l - 4*l + 10*l)*(-6 + 14 + 3) - l + 2*l + l in the form h*l + y and give h. 116 Rearrange (-3*x - 56 + 56)*(20*x - 1864 + 1864)*(x - 13*x - 2*x) to the form m*x + b*x**3 + o + s*x**2 and give b. 840 Rearrange ((2*q + 1 - 1)*(0 + 0 + q) - 3 + 3 - q**2 + 4115*q - 4115*q - 7*q**2 - 3)*(5 + 2 - 2) to n + d*q + j*q**2 and give n. -15 Rearrange -1 + 1103971*c + 1374*c**2 - 1103971*c - 3 to f*c**2 + k + b*c and give f. 1374 Rearrange -l**4 + 6*l**4 - 50*l**2 - 3*l**4 - 3*l**3 + 44*l**2 to the form d*l**2 + k*l**3 + f*l**4 + w + t*l and give w. 0 Express (-984*q + 1785*q - 915*q)*(2*q - 4*q - q)*(1 - 2*q - 1) in the form p + m*q**2 + f*q + z*q**3 and give z. -684 Rearrange (33*m - 63*m - 107*m)*(3*m + 0*m - 4*m)*(0*m**2 - m**2 - 3*m**2) to z*m**2 + r*m + k*m**4 + t + g*m**3 and give k. -548 Express (10*x**3 + 41 - 41 + (x + 2*x - 5*x)*(0 + 0 + 2*x**2))*(1895*x + 1646*x - 2201*x) as j*x**2 + b*x + w + z*x**3 + l*x**4 and give l. 8040 Express (-14 + 14 - 8*z)*(-46 - 27 + 382*z**2 + 72) as b + y*z**2 + m*z + w*z**3 and give w. -3056 Express -304 - 628*r**2 + 2608*r**2 + 304 + 2155*r**2 as h + g*r**2 + l*r and give g. 4135 Express 8*n**3 + 33*n**2 + 16*n**3 - 27*n**2 - 76 + 77 - 25*n**2 as w*n + p + j*n**2 + c*n**3 and give p. 1 Express ((1 + 3 - 2)*(-2 + k + 2) - 3022*k - 3012*k + 6035*k - 3146)*(2*k + 1 - 1) in the form m + n*k + v*k**2 and give v. 6 Express (-188 - 306 + 496 + 402*i)*(1 - 1 - i) as v*i + f + q*i**2 and give v. -2 Rearrange -m + 3*m - 4*m - m - 2 + 2 + (-4 + 3 + 3)*(0 + 0 + m) + 19 - 12*m - 63 + 49 to x*m + g and give g. 5 Express -2*o**2 - 2*o**2 + o**2 + (2*o - 3*o + 2*o)*(-220*o + 94*o - 431*o) in the form a*o + m*o**2 + x and give m. -560 Rearrange 10 - 9 - 13084*t**2 + 21843*t**2 + 1 - 1 - t**2 + (-4*t + 2*t + 0*t)*(0*t - 3*t - t) + 3*t**2 - 2 + 2 to f*t + a + d*t**2 and give d. 8769 Express ((0 - 3 + 0)*(-l + 4*l - 2*l) + 0*l - l - 2*l)*(-1 - 2 - 4)*(1 + 3 - 2) - 11*l + 15*l + l as f + d*l and give d. 89 Express ((0 + 1 + 1)*(-12 - 2*c + 12) - 2 + 2 - c)*((3 + 0 - 1)*(3 + 4 - 4) + (1 + 3 - 5)*(-1 - 1 + 3))*(-376 - 11*c + 376) as w + n*c + g*c**2 and give g. 275 Express (-399*t - 163*t**3 + 399*t)*(-3 + 6 - 2) + (-2*t**3 + 0*t**3 - 8*t**3)*(3 - 1 - 1) in the form n*t**2 + a*t + d + h*t**3 and give h. -173 Express 425*l - 683*l + 1 - 489*l - 845*l as w*l + j and give w. -1592 Rearrange -6 + 6 + 6*s**3 + (1 + 7 - 3 + (-14 + 2 - 6)*(-4 + 4 + 2))*(-s - 3*s + 2*s)*(33 - 33 - 9*s**2) to the form x*s**2 + t + n*s**3 + r*s and give n. -552 Express -811 + 350*u - 158 - 170*u - 178*u + u**2 in the form b + l*u + y*u**2 and give b. -969 Express (251 - k**3 - 238 + 0*k**3)*(-41*k + 15*k - 9*k) as a*k**2 + l + c*k + m*k**3 + y*k**4 and give c. -455 Express 159*f**2 + 2672*f - 8015*f + 2671*f + 2671*f + 3 in the form l + v*f**2 + t*f and give l. 3 Rearrange -t + 0*t + 57*t**2 + 50*t**3 - 28*t**3 + 8 - 25*t**3 + 2*t to the form u*t**3 + z*t + b*t**2 + c and give c. 8 Express (5*i**2 - 2*i + 29 - 3 - 4*i**2)*(322 + 33*i - 322) in the form h*i**3 + f*i + x + g*i**2 and give g. -66 Rearrange -9 + v**4 + 18*v + 16*v**3 + 14*v**2 + 10*v**3 - 16*v - 27*v**3 to j*v**3 + u*v**2 + f*v + y + z*v**4 and give z. 1 Express -21 + 44487*g**2 + 44482*g**2 - 89083*g**2 in the form o*g + l + i*g**2 and give l. -21 Rearrange 7*t**2 - 10*t**2 - 8*t**2 + 9*t**2 - 267*t to n*t**2 + i + o*t and give n. -2 Express (-3 - 4 + 5)*(4*y + 0*y - 5*y + (5 + 0 - 2)*(0*y - 3*y + 2*y)) + 12584*y - 288142 + 288142 in the form i + g*y and give g. 12592 Express -829*x**3 + 42*x**4 - 3 - 11*x + 3 + 832*x**3 + 14*x in the form p*x**2 + s*x**4 + q + l*x**3 + b*x and give l. 3 Express 643*v + 2204*v + 6604*v in the form c*v + b and give c. 9451 Express (2 - 3 + 0)*(-4 + 4 - 2*c**2 - 5 + 4*c**2 + 5 + (-3*c**2 - 10*c**2 + 7*c**2)*(-3 + 1 + 3) + 0*c + 0*c - 2*c**2) as w + p*c + s*c**2 and give p. 0 Rearrange -718*m + 816*m - 4848*m to c + y*m and give y. -4750 Rearrange 1136*v - 5076*v - 908*v - 3882*v to r + x*v and give r. 0 Express -7 + i**2 + 7 + (-3*i**2 + 3*i**2 - 3*i**2)*(-7 + 1 - 7) + 4*i**2 - 2 + 2 in the form l*i + d + z*i**2 and give z. 44 Express (s + 1 - 1)*(-1033*s + 474 + 5738*s - 474) in the form d*s + l*s**2 + b and give l. 4705 Express -1 + 63*u - 33*u - 10 + 15*u in the form r*u + s and give r. 45 Express w**4 - 255156*w**2 + 127575*w**2 + 8*w - w**3 + 127583*w**2 in the form j*w**2 + m*w + s + a*w**4 + n*w**3 and give n. -1 Rearrange -65*r**3 + 107*r**3 + r + 363 - 362 - 29*r**4 to the form f*r**4 + c + u*r**3 + k*r + x*r**2 and give k. 1 Express 2*n - 29*n**3 - 2 - 624*n**4 - 832*n**4 + 1458*n**4 - n**2 in the form o*n + q*n**3 + y*n**4 + b + d*n**2 and give y. 2 Express -n**2 - 80*n**3 + 44*n**3 + 34*n**3 - n + 45 in the form h + p*n**3 + s*n**2 + x*n and give p. -2 Express -105 - 6*g**3 - 135 + 0*g**3 + 5*g**3 as z*g + n + p*g**3 + t*g**2 and give n. -240 Express 17*c**2 - 52*c**2 + 16 + 6*c**2 + 15*c**2 + 16*c**2 + 9*c**3 - 3*c in the form o + q*c + k*c**2 + b*c**3 and give k. 2 Express -u**3 + 143*u**2 - 109 + 166 - 57 as g*u**3 + c*u + n*u**2 + q and give g. -1 Express 172 + 1033 - 13*i + 8*i + 6*i + 70 as t + p*i and give p. 1 Rearrange (-4*y**2 + 3*y**2 - 2*y**2)*(1255 + 1247 + 46*y - 2510) to the form r*y**2 + h + s*y + p*y**3 and give p. -138 Rearrange (2*o**3 + o**3 + 5*o**3)*(-7 - 60 - 63)*(-11 - 5 - 1) to u + z*o + l*o**3 + d*o**2 and give l. 17680 Express (7 - 3*c**2 - 7)*((-2 + 3 + 0)*(0*c**2 + 5*c**2 - 3*c**2) + 15808 + 403*c**2 - 15808) as v*c + f*c**3 + q + u*c**4 + o*c**2 and give u. -1215 Rearrange 298 + 151*c - 454*c + 146*c - 2*c**3 + 155*c to g*c**2 + x*c + q + w*c**3 and give q. 298 Rearrange (-t + 4*t + 0*t)*(3 + 7 - 2)*(3 - 1 - 5)*(19 - 21 + 8) to the form u + a*t and giv
{ "pile_set_name": "DM Mathematics" }
+ 156. Suppose -w = -d - 213. What is the hundreds digit of w? 3 Suppose 863 = 5*p + 4*o + 61, -3*p + 2*o = -490. Let j = p + -143. What is the units digit of j? 9 Let a = -923 + 7388. What is the tens digit of a? 6 Let y = 43778 - 30955. What is the units digit of y? 3 Let t(i) = -3*i**3 + 6 + 4 - 111*i + 112*i. Let l(y) = 2*y**3 - y - 5. Let u(p) = 7*l(p) + 4*t(p). What is the units digit of u(2)? 5 Let q(t) = -21*t + 547. Let y be (-2)/(-2) + (8 + 0)/(-8). What is the units digit of q(y)? 7 What is the units digit of 2361/2*(-3)/(216/(-1104))? 1 Let k(t) = 22*t - 33. Suppose 3*m + 9 = 0, -5*n + 3*m + 6 = -38. Suppose 54 = 16*w - n*w. What is the units digit of k(w)? 9 What is the units digit of (-11755)/(((-95)/(-3))/(-19))? 3 Let m(i) = -284*i - 1. Let u(j) = -j**2 - 3*j + 2. Let v be u(-4). Let r be m(v). Let g = r + -320. What is the units digit of g? 7 Suppose -7*n = -4*n + 702. Let l = n - -475. What is the units digit of l? 1 Let n(q) = 108*q + 151 + 105*q - 211*q. What is the tens digit of n(-39)? 7 Let x(z) = -17*z - 30. Let q be (-75)/(-18) - 6/36. Let o(i) = i - 10. Let c be o(q). What is the tens digit of x(c)? 7 Let j(a) = 5*a - 11. Let b(q) = -2*q - 1. Let r(m) = -3*b(m) + j(m). Suppose -3*w + 0*w = -9. What is the units digit of r(w)? 5 Suppose 36436*f = 36429*f + 57827. What is the thousands digit of f? 8 Suppose -p = 2*h + 398, -4*p + 1562 = -8*p - 2*h. Let t = p - -534. What is the tens digit of t? 4 Let d be (-1)/2*2/3*-1029. Let c = -861 + d. Let l = -291 - c. What is the units digit of l? 7 Let m = 9 - 44. Let k = m - -172. Let p = 348 - k. What is the tens digit of p? 1 Let d(a) = 21*a**2 + 255 + 253 - 512 - a**3 - 58*a. What is the tens digit of d(8)? 6 Let g = -97 - -103. Suppose 0 = -10*h + g*h + 28. Suppose 169 = h*x + 6*x. What is the tens digit of x? 1 Let s(t) = 1899*t**2 - 18*t - 35. What is the hundreds digit of s(-2)? 5 Suppose 4*p = 62697 + 14795. What is the tens digit of p? 7 What is the hundreds digit of -3*2*((-204)/(-18) - 10) + 29149? 1 Suppose 12*q + 16*q - 157584 = 0. Suppose q = 19*n - 3549. What is the hundreds digit of n? 4 Suppose 31*r + 198 = 25*r. Let v(m) = m**3 + 35*m**2 + 32*m + 206. What is the thousands digit of v(r)? 1 Suppose -2*f - 12 = -3*d - 6, -3*d - f - 3 = 0. Suppose d = -25*v + 24*v + 38. What is the units digit of v? 8 Let o = 158 - 66. Let m = 155 - o. Suppose 4*c + m = 463. What is the tens digit of c? 0 Suppose -12490 = -5*s + 3*t, -5*t + 7523 = 3*s - t. Suppose 4*q + 16 = 0, -1011 = 3*v + 4*q - s. What is the tens digit of v? 0 Suppose 24*y - 6828 - 15828 = 0. What is the hundreds digit of y? 9 Let k(v) = v + 15. Let c be k(6). Let x = -16 + c. Suppose x*a + f = 32, -5*f = 4*a - 12 - 22. What is the units digit of a? 6 Suppose 4*y = -2*h + 6*h + 6216, -5*y - 4*h + 7806 = 0. Suppose -y - 5327 = -9*s. What is the units digit of s? 5 Let u(h) = 4*h**3 - 3*h**2 - 4*h + 6. Let v be u(4). Suppose -115 - 521 = 6*x. Let q = v + x. What is the tens digit of q? 9 What is the hundreds digit of (-1)/(5/2318*(-17)/255)? 9 Suppose 5*w + 2200 = 4*r - 23050, -r + 5*w + 6305 = 0. What is the units digit of r? 5 Let y(g) = g**2 + 9*g + 22. Let u be y(-3). Suppose 5*s - 2*v - 3041 = 0, -5*v - u = 11. What is the hundreds digit of s? 6 Let k(h) = 118*h**2 - 9*h + 6. Let u be k(3). Suppose -4*j + v = u, 5*j + 1043 = j + 3*v. Let l = -86 - j. What is the tens digit of l? 7 Suppose -5*f + 8*f = -72. What is the units digit of (-4)/f + (-2381)/(-6) - 4? 3 Suppose 95*f = -61*f + 1298856. What is the units digit of f? 6 What is the ten thousands digit of ((-13101564)/(-3990))/(0 + 2/10)? 1 Let h(x) = -2 + 66*x + 75*x - 137*x. Let m = 104 - 94. What is the units digit of h(m)? 8 What is the thousands digit of 1/(-4) + (-375)/(-4)*143? 3 Let d(a) = -a**3 + 23*a**2 + 25*a + 18. Let q be d(20). Suppose -2*t = -q - 392. What is the tens digit of t? 5 Let b(i) = 5111*i**2 + 273*i - 836. What is the ten thousands digit of b(3)? 4 Let q(s) = 28*s**2 + 2*s - 10. Let m(k) = -21*k**2 - 1 + 10*k**2 + 12*k**2. Let l(f) = -8*m(f) + q(f). What is the units digit of l(2)? 2 Suppose 0 = -12*n + 8*n - 4. Let m be (-516)/(-18)*-3*(-3 - n). What is the tens digit of (m/6)/(85/15 - 5)? 4 Let c(z) = 9*z**3 - 3*z - 6*z**2 + 9 + z**3 - 9*z**3. Let f be c(6). Let j = f + 19. What is the units digit of j? 0 Let j = 1103 - 398. Suppose -6111 = -16*g + j. What is the units digit of g? 6 Let h = 106976 - 65197. What is the tens digit of h? 7 Let n(h) = 418*h - 1. Let d(r) = 418*r - 2. Let j(l) = 3*d(l) - 4*n(l). Let x be j(-1). Suppose -x = 35*u - 39*u. What is the hundreds digit of u? 1 Let v = -308 + 314. Suppose 0 = v*z + 19*z - 525. What is the tens digit of z? 2 Let h = -353 + 241. Let d = 148 + h. What is the tens digit of d? 3 Suppose -19*v - 2142 = -20*v. Suppose 36*z - 43*z = -v. What is the units digit of z? 6 Suppose 5*k + 52 = -4*h, -10*k - 44 = 4*h - 7*k. What is the hundreds digit of 0/2 + (-4 - (-1726 + h))? 7 Suppose -2*t = -200 - 54. What is the tens digit of (7 - 1) + t - 3? 3 Let m be 12 + 16/4 + (-16)/2. Suppose -m*j = -1039 - 3785. What is the units digit of j? 3 Let d be 88/(-12) - ((-60)/9)/5. Let g(x) = 13*x**2 - 14*x + 15. What is the tens digit of g(d)? 6 Suppose -138*a + 351177 = -77*a. What is the thousands digit of a? 5 Let t = -47 - -151. Let g = t + -241. Let b = 187 + g. What is the units digit of b? 0 Let z(q) = q - 4. Let k be z(7). Suppose -4*w + 6*l + 176 = 8*l, -l + 134 = 3*w. Suppose i + 48 = 4*i - 5*y, -5*i + w = k*y. What is the tens digit of i? 1 Let b(h) = 18*h**3 + 16*h**2 - 51*h + 348. What is the thousands digit of b(10)? 9 What is the tens digit of 2/55 + (-14656707)/(-2145)? 3 Let y(s) = -357*s**3 - 13*s**2 + 7*s + 3. Let v(z) = 119*z**3 + 4*z**2 - 2*z - 1. Let q(n) = -7*v(n) - 2*y(n). What is the hundreds digit of q(-1)? 1 Suppose 3*h - 546 = -5*c, -c + h + 129 = 23. Suppose -63*k = -68*k - 4*t - 118, 5*t = -3*k - 76. Let r = c + k. What is the units digit of r? 6 Let u(c) = -51*c**3 - 16*c**2 + 4*c - 2. What is the tens digit of u(-3)? 1 Let d(v) = -v**2 + 10*v + 19. Let p be d(10). Let a be p - ((-6)/(-4))/(5/10). What is the tens digit of ((-30)/8)/((-3)/a)? 2 Let u = 96 - 16. Suppose 21024 + 12896 = u*z. What is the tens digit of z? 2 Let o(t) = -t**2 + t + 40. Let x be o(-6). What is the thousands digit of 2*(-17492)/(-30) + x/15? 1 Let b = 12230 + -6643. What is the units digit of b? 7 Let a = -1776 - -3199. Suppose -5*h + a = -2*h + j, 953 = 2*h + 5*j. Suppose 5*x - h = -39. What is the units digit of x? 7 Suppose 3*k = q + 1669, 0 = 14*k - 9*k - 3*q - 2783. Let r = 837 - k. What is the hundreds digit of r? 2 Let x = -29257 - -44354. What is the ten thousands digit of x? 1 Let a be (-2)/(-4)*(9 + -1). Let l(o) = o**2 + 37*o + 192. Let y be l(-6). What is the units digit of y/a + (-316)/(-8)? 1 Suppose 0 = -169*i + 248*i - 2274726. What is the hundreds digit of i? 7 Suppose 42 - 12 = 6*c. Suppose -5*w + c*q + 3391 = 2*q, -2*w + 1364 = -5*q. What is the units digit of w? 7 Let b be 25218/(-6)*2*12/9. What is the hundreds digit of (b/42)/(14/(-49))? 9 Suppose -p - 70 = 9*p. Let m(u) = -3*u**3 + 4*u**2 + 40*u - 12. What is the hundreds digit of m(p)? 9 Suppose 0 = -r + d + 7405, 3*r + 9573 = -d + 31788. What is the thousands digit of r? 7 Let k(o) = o**3 + o**2 + 3*o + 269. Let g be k(0). Let a = 567 - g. What is the units digit of a? 8 Let i = -414 - -78. What is the units digit of (-1 + 5)/((-32)/i)? 2 Suppose -3*t + 29 = 23. Suppose 802 = 2*o - t*w, 5*o = 3*w + 1081 + 932. Suppose 99 = j + 5*k - 0*k, 5*j - 5*k - o = 0. What is the tens digit of j? 8 Let k(u) be the second derivative of 19*u**3/3 - 62*u**2 - 4*u + 4. What is the hundreds digit of k(11)? 2 Let a(r) = -10*r + r + 5*r**3 + 2477 - 3*r**2 - 2460. What is the hundreds digit of a(4)? 2 Let n(c) = 7*c**3 - 38*c**2 + 17*c - 46. What is the units digit of n(11)? 0 Let o = -26724 + 45872. What is the tens digit of o? 4 Let q = -172 + 178. Suppose -20 = -5*i, q*i - 939 = -j + 8*i. What is the tens digit of j? 4 Suppose 0 = -3*x - 5*m + 1, -3*m - 9 = 2*x - 10. Suppose -2*p + 2336 - 608 = -5*j, 0 = 5*p + x*j - 4378. What is the units digit of p? 4 Let k(p) = 82 - 67*p + 78 + 88 - 247. Let y(r) = -r - 4. Let w be y(-3).
{ "pile_set_name": "DM Mathematics" }
*m - 5*u + a, 0*m - 5*u - 34 = -3*m. Let y = -3 - -3. Solve -5*z + z - m = y for z. -2 Suppose 0 = 4*w - 4 - 12. Let j(y) = -y**2 + 3*y + 2. Let d be j(3). Solve -z = -d*z - w for z. -4 Suppose -441 = -25*c + 59. Solve -20 = 16*m - c*m for m. 5 Suppose 3*p - 4*y = 49, -3*p + y + 42 = 4*y. Solve -10 = -m - p for m. -5 Let u = 1211 - 1207. Solve 0 = u*n + 6*n - n for n. 0 Suppose -7*p - 1 = -64. Solve -4*q - p - 3 = 0 for q. -3 Suppose -4 - 4 = -2*f. Let z be (-9)/36 + 17/f. Suppose 2*w = 2 + z. Solve k - 16 = -w*k for k. 4 Let f = 914 + -890. Solve -8*v + f = -0*v for v. 3 Let h = -156 + 85. Let f = 73 + h. Solve -f*d = 2*d for d. 0 Suppose 2*m = 3*m - 6*m. Let d = 5 + 0. Let h(k) = -2*k**3 - k**2 + 4*k + 3. Let o be h(-2). Solve m = -d*u - 3 - o for u. -2 Let m(a) = -a**2 - 3*a + 7. Let r be m(0). Suppose -r*j + 56 = -0. Solve j = x + 3*x for x. 2 Let l be (-2)/(-4)*2*20. Suppose -5*n = -4*n + 14. Let r = n + 14. Solve r = -0*z - 5*z + l for z. 4 Let j = 436 - 409. Solve -32 = -j*h + 11*h for h. 2 Suppose 0 = 2*f - 3*f + 3, -f + 11 = h. Let o be 237/4 - (-6)/h. Suppose 0 = j + 2*j - o. Solve -j = -5*u + u for u. 5 Let i be 8/3 - (-2)/(-3). Suppose 5*t + 2*q = 5, -2*t + 0*t + i = 5*q. Solve -s + t = -4 for s. 5 Suppose -9 = -3*w, 2*u - 7*u = w - 83. Solve -u*q = -12*q for q. 0 Let a(v) = -v**2 + 5*v - 2. Let d be a(4). Suppose 5*s = d + 8. Suppose -2*m + 9 = -f + 2*f, -4*f + s*m = -36. Solve 0*w = -3*w - f for w. -3 Let o be (-8 - (-20 - -6)) + -5 + 4. Let r(t) = 4*t**3 - 3*t**2. Let p be r(2). Solve p = o*l - l for l. 5 Let b be (-3)/(-8) - 2004/(-32). Let q = b - 61. Solve 3 = v + q for v. 1 Let a = -2 + 4. Let d = 2014 + -1999. Solve -f - a*f - d = 0 for f. -5 Let t = -43 - -23. Let k = t + 20. Solve -j - 3 + 4 = k for j. 1 Let s(y) = -y**3 - 5*y**2 - 4*y. Let x be s(-3). Let n be (-5)/2*x/5. Suppose -n*j + 7 = -5. Solve j*l = -0*l for l. 0 Let x = -3 - -15. Let v = -20 - -52. Let t = v + -29. Solve -t*g = -0*g - x for g. 4 Let j be 168/3 - ((-20)/2 - -7). Solve -5*r - 79 = -j for r. -4 Let j be (414/12)/(-23)*(-462)/9. Solve -17*k = -j - 8 for k. 5 Let q(w) = 3*w - 1. Let z be q(1). Suppose 2*h - u = 6 - 1, -h - u - 5 = 0. Suppose -z = -r - h. Solve -r*k + 3*k = -5 for k. -5 Let b be 0*(-7 + (-48)/(-6)). Solve b + 4 = 2*q for q. 2 Suppose -8*j = -4*j - 24. Let h be 3/(-18) + 7/j. Suppose 3*n - 24 = 9. Solve 4*s + n = -h for s. -3 Suppose p + 38 = 3*p. Suppose 5*z = 3*a - 37, 4*z + p = a - z. Let h = a + -1. Solve -2*j = 2*j + h for j. -2 Let t(r) = -2*r + 21. Let q be t(19). Let z = -15 - q. Solve -z*d = 2*d for d. 0 Suppose 5*a - 3*w - 35 = 32, -2*a = 2*w - 14. Suppose -j + 4 = 1. Solve a = -j*s + 2 for s. -3 Let k(f) = -3*f. Let w(p) = p. Let u(q) = k(q) + 2*w(q). Let d be u(-3). Solve -g = -d*g + 4 for g. 2 Let d(i) = -3*i + i**2 + 13 - i**3 + 4*i**2 + i - 4*i**2. Let w be d(0). Suppose 0 = 2*r - 1 - 3. Solve -5 = r*l - w for l. 4 Let l be (-25)/(-15)*5/((-20)/(-12)). Solve l*k = 8*k + 9 for k. -3 Let w = 467 + -463. Solve 2*b - 14 = -w for b. 5 Suppose -16 = -2*j + 6*j. Let g be 0/(-1)*j/4. Let r be 16/(-3)*(-48)/32. Solve 3*m - r - 1 = g for m. 3 Suppose -5*b + 3*b = -10. Suppose -2*m = b*z + m - 89, -z + m + 13 = 0. Let a = z + -12. Solve -q + 20 = a*q for q. 4 Suppose -3*k + k + t + 26 = 0, -k + 5*t + 4 = 0. Let s(p) = -p**2 + 14*p. Let i be s(k). Solve -2*j = -i + 4 for j. -2 Suppose 4*v = -12, t = -0*t - 2*v - 1. Suppose t*n = -4*i + 70, -2*n - n = i - 35. Suppose 2*s + 5*h + n = -7, -2*h = 2*s + 2. Solve 0 + 12 = -s*q for q. -3 Let o be -6*2/(-32) - (-84)/32. Solve 0 = -b - 1 - o for b. -4 Let z = 199 + -199. Solve l - 1 + 0 = z for l. 1 Suppose -9 = -0*k - 3*k. Solve -13*v = -16*v + k for v. 1 Let k(b) = -5*b + 2. Let i be (1015/(-45))/7 - 6/(-27). Let x be k(i). Solve -3 - x = -4*o for o. 5 Let k(g) = -g**3 - 2*g**2 - 6*g - 8. Let f be -4*(-3)/(-9)*(-18)/(-12). Let q be k(f). Solve q*t + t = -15 for t. -3 Suppose -3*t - 3*s = -2*t + 9, 0 = -2*s - 8. Suppose -31*n + 28*n = -12. Solve -t*i - 13 = -n for i. -3 Let g = 1157 + -1152. Let v(a) = -6*a**2 + 1. Let o be v(1). Let i be o*7/(105/(-18)). Solve 9 = -g*c - i for c. -3 Let l(d) = 3*d**2 - d + 8. Let k be l(0). Solve 8 + 8 = k*y for y. 2 Let h(m) = -3*m**2 + 5*m + 4. Let o(n) = -2*n**2 + 6*n + 4. Let u(c) = 3*h(c) - 4*o(c). Let y be u(-4). Let z = -1455 + 1455. Solve z - y = 4*s for s. -4 Let j = -266 - -268. Solve -5*v = -j*v - 3 for v. 1 Let h(z) = -z**3 - 9*z**2 - 19*z - 24. Let f be h(-7). Solve 5*a + 11 = f for a. 0 Suppose 2*x + 0 = -3*d - 9, d = -4*x - 3. Let f(v) = v**3 + 12*v**2 - 13*v - 1. Let h be f(-13). Let b = h - -3. Solve b = -g - x for g. -2 Let v(n) = 2*n - 6. Suppose -4*s - a = -14, -4*s + 3 = 5*a - 3. Let r be v(s). Suppose 4*o = r*o - 3*w - 3, -5*w - 24 = -3*o. Solve 0 = o*i + i for i. 0 Suppose -k = k. Let y be 9*(-5)/75 - (-56)/10. Solve q + k = y for q. 5 Let f be 2/3 - 21/(-9). Suppose 3*b - 2*b = f*b. Solve 3*h - 6 = -b*h for h. 2 Suppose 0 = -3*p + 6*p - 336. Let t = 114 - p. Solve -3*a - 1 = -t*a for a. -1 Suppose -5*c - 65 = -2*z - 0*c, -z = 4*c. Let v(s) = -s**2 + 9*s - 10. Let u be v(7). Solve z = u*l - 0*l for l. 5 Let x be 1*10*(3 - 2). Suppose 118 - 304 = -62*r. Solve -x = -5*j + r*j for j. 5 Let r = -28 - -27. Let c be (-22 - -1)/(r/(-1)). Let y be 7/c - 13/(-3). Solve -y*m = -m - 15 for m. 5 Suppose -3*g = -16 + 16. Suppose 3*b + 12*b = g. Solve 14*h - 10*h = b for h. 0 Let n = 60 - 55. Solve -2*t - 6 = -n*t for t. 2 Suppose 0 = -4*x - x. Let j be (0 - 0)/(1/1). Let u be (x - -1)/(-4)*j. Solve u = 7*m - 2*m for m. 0 Let d(c) = c**3 + 5*c**2 - 14*c + 3. Let n be d(-7). Suppose -n*i - 2 = 4, 4 = -j - 4*i. Solve 6*x - 8*x = j for x. -2 Let x(l) = -6*l + 71. Let z be x(11). Solve z = 14*y - 9 for y. 1 Let n be (-151)/(-9) + (-6)/(-27). Let f = -21 + 24. Suppose -2*y - 2*y + 5*s = -25, 5*y + f*s - 22 = 0. Solve y*h + n = 2 for h. -3 Suppose -3*c = 3*s - 21, 3*s - 2*c - 2 = 9. Suppose 5*u + 5 = -s*x - 5, -4 = -3*u + 2*x. Suppose 2*h + 0*h = u. Solve h = 2*f + 3*f for f. 0 Let b(s) = -s**3 + s**2 + s + 2. Let x be b(0). Let l be (0 - -3) + 1 + x. Solve l*q = 2*q for q. 0 Let g(q) = q**3 - 35*q**2 - 37*q + 44. Let o be g(36). Solve 0 = -4*a + o*a - 8 for a. 2 Let o(t) = 6*t + 118. Let u be o(-18). Solve u + 6 = 4*d for d. 4 Let i(z) = 18*z - 70. Let r be i(4). Solve 4*d = r*d - 10 for d. -5 Let p = 8 - 0. Suppose 20 = 2*h - 3*g, 5*h + 2*g - p = 23. Solve 0 = -h*y + 4*y for y. 0 Suppose 2*d = 2, 2*i + 19 = 2*d + 25. Let h be (-2 + 1 - -5) + -1. Solve -i*m + h - 19 = 0 for m. -4 Let c(q) = q**3 - 7*q**2 + 2. Let r be c(7). Suppose g - 9 = -2*h, -3*g = 3*h + g - 26. Solve 0 = -h*y + r + 2 for y. 2 Suppose 5*f + i = 73 + 94, 5*i = 3*f - 117. Suppose 0 = 4*c - 50 + f. Solve c*r = -0*r - 20 for r. -5 Let d = -16 + 139. Let s = d + -120. Solve 2 = i + s for i. -1 Let b(x) = 124*x + 18. Let w be b(0). Solve -w*h - 10 + 82 = 0 for h. 4 Let o be 3 - 2 - (-6)/2. Suppose o*v + 0*f = -3*f + 5, -15 = 2*v + 5*f. Solve 0*p = -v*p + 25 for p. 5 Let s(t) = t - 10. Let n be s(12). Suppose 6 = 2*j + n*l, -5*l + 14 = 4*j - 2*l. Solve -j*q = -4 - 1 for q. 1 Let t be (-2)/(-8) - (-455)/20. Suppose a - 3*q = t, 5*a = a + 4*q + 84. Let l(z) = -8*z + 10. Let s be l(1). Solve 2*n + s*n - a = 0 for n. 5 Let h be (-15)/(-75) - (-156)/(-5). Let s = -28 - h. Solve s - 23 = -4*d for d. 5 Let i = 57 + -55. Let g = 9 - i. Solve 3 = -2*u - g for u. -5 Suppose -15 = -3*c - 3*j, j = 2*c + 6 - 1. Solve -17*v + 15*v + 6 = c for v. 3 Let f be (41 - 42)/(3/(-132)). Solve 9*r + 17 = f for r. 3 Suppose -4*x = -x - 15. Let d = 12 - 9. Suppose -2*b - 2*g + 6 = 0, 4*b - g - 1 = d*b. Solve -x*c + 13 = -b for c. 3 Suppose -5*c - 17 - 3 = -2*l, -17 = 2*c + l. Let j = 26 + -20. Let d = c + j. Solve d = -3*y + y for y. 0 Suppose 0*h = 7*h - 21. Suppose -7 = -8*o + 9. Solve 0 = i - o*i - h for i. -3 Suppose -32*p - 4*k = -35*p - 16, -5*p - k + 4 = 0. Let q(j) = j**2 + 7*j + 6. Let m be q(-6). Solve m = -p*t + 5*t for t. 0 Let p(k) = -27*k + 69. Let t be p(0). Solve 6 = 21*g + t for g. -3 Let y(h) = -3*h**2 + h**3 + 8 - 1 - 3 - 2*h. Let u be y(4). Solve 2*j = -2*j + u for j. 3 Let x = -826 + 886. Solve 15*a + x = 30*a for a. 4 Let t be (-3)/(-9) + 8/3. Suppose 5*m + 0*l = 2*l + 2, 2*m = -3*l - 3.
{ "pile_set_name": "DM Mathematics" }
8*l**2. Calculate z(o(p)). 25668*p**2 Let g(z) = 13*z + 2. Let i(k) = 4 + 2*k**2 - 6*k**2 - 4. Calculate g(i(y)). -52*y**2 + 2 Suppose 7 = 3*v + 1. Let a(u) = -u**v - 7*u + 7*u + u. Let j(n) = -2*n**2 + 3*n. Let z(y) = -3*a(y) + j(y). Let f(l) = -2*l**2. Give f(z(s)). -2*s**4 Let k(c) be the third derivative of -13*c**4/12 - 62*c**2. Let o(f) = -5*f. Determine o(k(h)). 130*h Let l(v) = 2*v. Let q(f) = 90*f - 47*f - 43*f - 260*f**2. What is l(q(u))? -520*u**2 Let j(b) = 13*b**2 - 7*b + 7. Let s(v) = 7*v**2 - 4*v + 4. Let n(p) = 4*j(p) - 7*s(p). Let f(z) be the second derivative of 5*z**4/12 - z. Give n(f(y)). 75*y**4 Let u(a) be the third derivative of a**7/2520 + a**5/60 + 7*a**3 + 28*a**2. Let w(s) be the third derivative of u(s). Let o(l) = 16*l**2. Determine w(o(j)). 32*j**2 Let z(d) = -d. Let w(i) = 36*i**2 - 5*i + 35. Determine w(z(q)). 36*q**2 + 5*q + 35 Let m(c) be the second derivative of 5*c**4/4 - c. Let r(v) = 3*v - 23 - 6*v + 4*v + 23. Calculate m(r(h)). 15*h**2 Let h(y) = 66 - 66 - 193*y**2. Let l(a) = -2*a. Give h(l(s)). -772*s**2 Let l(c) = c - 8*c + 0 - 5 + c. Let j(m) = -2*m - 1. Let s be j(-3). Let q(h) = 5*h + 4. Let u(n) = s*q(n) + 4*l(n). Let o(a) = -2*a**2. Calculate o(u(g)). -2*g**2 Let q(l) = 8*l. Let a(f) = -22175*f**2. What is a(q(w))? -1419200*w**2 Let l(j) be the first derivative of -3*j**2/2 - 32. Let z(f) = 26*f**2 - 2. Give l(z(p)). -78*p**2 + 6 Let o(l) = -8*l. Let n be (3 + 22/(-6))/(-8 + 4). Let q(v) be the second derivative of -n*v**3 + 0 + 0*v**2 - v. What is o(q(c))? 8*c Let x(n) be the third derivative of -491*n**4/24 - 3*n**2 - 2*n. Let r(y) = -2*y. Give r(x(j)). 982*j Let t(m) = 4*m**2. Let z(s) be the first derivative of -6 - 2*s**3 + s**3 - 6. Determine t(z(k)). 36*k**4 Let c(j) = 47030*j. Let d(z) = 7*z**2. Give d(c(x)). 15482746300*x**2 Let h(y) = y - 3. Let p(j) = 2 + 0 - 3 + 2. Let g(u) = -2*h(u) - 6*p(u). Let q(s) = -2*s - 2*s - 11*s + 2*s. Give g(q(l)). 26*l Let z(m) = -2*m**2 + 11*m. Let n(a) = -5*a**2 + 6. Let r(g) = 6*g**2 - 7. Let b = -106 + 99. Let s(i) = b*n(i) - 6*r(i). Calculate z(s(j)). -2*j**4 - 11*j**2 Let g(k) = 1197*k. Let s(t) = -36*t. Determine s(g(y)). -43092*y Let b(y) = 3*y. Let t(o) be the third derivative of o**5/30 - 37*o**4/12 - 12*o**2 + 17*o. Calculate t(b(w)). 18*w**2 - 222*w Let z(a) = 24*a**2. Let i(c) = -7754*c. Determine i(z(j)). -186096*j**2 Let p(n) = -11*n + 4*n + 5*n. Let d(q) = -5*q**2 + 7*q - 7. Let o(l) = -2*l**2 + 3*l - 3. Let i = 11 - -3. Let s(c) = i*o(c) - 6*d(c). What is s(p(b))? 8*b**2 Let j(m) = -5*m**2. Let q(z) = -5282 - 16*z + 5282. Determine j(q(b)). -1280*b**2 Let h be 6*9/(54/8). Let a(x) = x - h*x + 9*x. Let u(v) be the second derivative of -2*v**3/3 + 3*v. Calculate u(a(n)). -8*n Let c(i) = 7*i - 9. Let z(p) = -104*p**2. Give z(c(t)). -5096*t**2 + 13104*t - 8424 Let b(r) = -253811*r. Let k(d) = -d**2. Determine k(b(x)). -64420023721*x**2 Let p(x) = -42*x - 45. Let s(n) = -21*n - 20. Let u(c) = -4*p(c) + 9*s(c). Let y(j) = -j**2. Determine y(u(g)). -441*g**2 Let y(s) = 2*s**2 - 6*s**2 + 3*s**2. Let n(f) be the third derivative of 0*f + 0*f**3 + 7/24*f**4 + 0 - 9*f**2. Determine y(n(v)). -49*v**2 Let w(d) = 2*d. Let a be (1 - 0)*0 + 0/(-3). Let b(j) be the second derivative of 0*j**2 - 4*j + 0*j**3 - 1/6*j**4 + a. What is b(w(r))? -8*r**2 Let u(d) be the third derivative of -d**4/8 - 13*d**3/6 - 542*d**2. Let p(b) = 7*b. Calculate p(u(o)). -21*o - 91 Let t be 1 + 3 + -6 + 4. Let u(h) = -5*h**2 + 7*h**2 + 4*h**2 + 2*h**t. Let m(n) = -2*n**2. Calculate u(m(d)). 32*d**4 Let c(d) = 750*d. Let q(z) = 8*z + 4. Calculate q(c(g)). 6000*g + 4 Let w = -195 - -275. Let x be (-2)/10 - (-176)/w. Let r(j) = -7*j**x + 7*j**2 - j**2 - j**2. Let m(k) = -3*k. Give r(m(o)). -18*o**2 Let q(h) = -5*h**2 + 3*h - 43. Let l(w) = -2*w. Give q(l(j)). -20*j**2 - 6*j - 43 Let c(k) = k**2 - k**2 + 6*k**2. Let d(y) = -517*y**2 + 280*y**2 + 239*y**2. Calculate c(d(r)). 24*r**4 Let a(q) = -2*q. Let k(o) = -o**3 - 6*o**2 + 6*o + 1. Let y be k(-7). Let s be 3/((-28)/y - -4). Let z(f) = 15 - 10*f**2 - s - 9. Determine a(z(b)). 20*b**2 Let r(i) = 33*i**2. Let u(o) = 60*o + 3*o**2 - 12*o - 48*o. What is r(u(l))? 297*l**4 Let s(y) be the first derivative of y**3 - 372. Suppose -4*m - 12 = 5*k, 0 = 4*k + 26 - 10. Let i(d) = 3*d + 2*d**m - 3*d. Give i(s(t)). 18*t**4 Let m(g) = 12*g**2 + 3*g. Let b(t) = -85*t**2 - 20*t. Let k(p) = -3*b(p) - 20*m(p). Let c(w) = 266*w - 266*w - 4*w**2 + 2*w**2. What is c(k(q))? -450*q**4 Let n(q) = -2*q**2. Let u(y) = 24160*y**2. Determine n(u(p)). -1167411200*p**4 Let j = -419/6 + 70. Let n(m) be the second derivative of 0*m**2 + 0 - 4*m + j*m**3. Let g(t) = 9*t**2. Calculate g(n(u)). 9*u**2 Let k(i) = -2*i**2. Let t = -12 - -12. Let g be 2 + (-3 - t) - -4. Let j(x) = 3*x + 0*x**2 - g*x - 2*x**2. What is j(k(q))? -8*q**4 Let p(j) = -9*j - 5. Let d(x) = -5*x - 3. Let r(u) = -5*d(u) + 3*p(u). Let v(o) = 5*o. Let s(q) = 3*q. Let b(m) = 14*s(m) - 6*v(m). Calculate b(r(g)). -24*g Suppose 0 = 5*s - 10, 12 = 4*k - 3*s - s. Let z(h) = k*h + 0*h - h - 3*h. Let l(o) = 6*o**2. What is l(z(a))? 6*a**2 Let a(q) be the third derivative of q**4/12 + q**2. Let y(m) = 6849 - 3*m - 6849. Determine a(y(z)). -6*z Let l(a) = a + 5. Let c(h) = -2. Let n(i) = 5*c(i) + 2*l(i). Let p be n(1). Let s(g) = g**p + 13*g - 13*g. Let f(o) = 2*o**2. Determine s(f(j)). 4*j**4 Let i(c) = -3*c**2 - 39*c. Let u(o) = -129*o. Calculate i(u(a)). -49923*a**2 + 5031*a Let f(g) = g. Let p(z) = 1183386*z. Give f(p(c)). 1183386*c Let w(f) = 93*f - 27. Let p(v) = 7*v - 2. Let i(q) = -54*p(q) + 4*w(q). Let c(n) be the first derivative of n**2/2 + 1. Determine c(i(z)). -6*z Let v(s) = 2*s**2. Let c(d) = 82901*d. Calculate c(v(x)). 165802*x**2 Let y(t) = 31767*t**2. Let l(g) = g**2. What is l(y(o))? 1009142289*o**4 Let t(p) = 110*p**2 + 2*p - 190. Let m(n) = 10*n**2. Determine t(m(w)). 11000*w**4 + 20*w**2 - 190 Let w(m) = -2*m**2 + 36094. Let x(v) = -9*v. Give x(w(y)). 18*y**2 - 324846 Let l(f) = -37*f - 40*f - 36*f + 156*f - 41*f. Let y(k) = 43*k. What is l(y(j))? 86*j Let t(a) be the first derivative of -a**3/3 + 9. Let g(m) = -4*m. Let i(r) = r. Let u(n) = -4*g(n) - 18*i(n). Give u(t(c)). 2*c**2 Let l(y) = -3*y - 2. Let t(m) = -4*m - 3. Let u(r) = -6*l(r) + 4*t(r). Let a(g) = -g**2 + 2*g + 3. Let o be a(3). Let p(c) = -c - c - c + o. Determine u(p(x)). -6*x Let o be 4 - 0 - 7/21*-9. Let a(s) = 5*s**2 + 7*s + 7. Let m(u) = 2*u**2 + 3*u + 3. Let j(i) = o*m(i) - 3*a(i). Let y(h) = -2*h**2. Determine y(j(n)). -2*n**4 Let b(d) be the second derivative of 0 + 0*d**3 - 1/6*d**4 + 0*d**2 - 12*d. Let w(m) be the first derivative of 2*m**3/3 - 1. What is b(w(k))? -8*k**4 Let d(x) = 10 - 10 + 2*x**2. Let v(y) = -5*y**2. Let k(c) = -10*c**2. Let i(a) = 6*k(a) - 13*v(a). Determine i(d(g)). 20*g**4 Let w(n) = -2*n**2 - 1. Let y(z) = -5*z**2 - 2. Let v(l) = 2*w(l) - y(l). Let x(r) = -10*r. Let g(a) = 9*a. Let b(p) = -5*g(p) - 4*x(p). Calculate v(b(u)). 25*u**2 Let t be 2/1*(4 - 3). Let s(o) = 2*o**2 - o**t - 2*o**2. Let k(g) be the second derivative of -7*g**3/3 - 3*g. Give k(s(a)). 14*a**2 Let b(h) be the third derivative of -h**4/24 - h**3/3 + 5*h**2. Let w be b(-4). Let s(z) = -9*z**2 - 2*z + 2*z + 3*z**w. Let u(f) = -2*f. Determine u(s(g)). 12*g**2 Let a(n) = -18*n + 42*n - 23*n. Let g(d) be the first derivative of -41*d**3/3 + 3. Give a(g(f)). -41*f**2 Let p(x) be the first derivative of -x**2/2 - 355. Let y(k) = -387*k**2. Determine p(y(j)). 387*j**2 Let t(d) = 4606*d. Let y(o) = 5*o**2. Give y(t(b)). 106076180*b**2 Let u(i) = 6*i. Let p(m) be the third derivative of m**4/12 - 4*m**2 + 12*m. What is p(u(l))? 12*l Let o(h) = h. Let k(v) = -3097646*v**2. Give k(o(s)). -3097646*s**2 Let u(z) = 5*z. Let t(r) be the third derivative of 0*r - 1/8*r**4 + 0 + 2*r**2 + 0*r**3. Calculate t(u(o)). -15*o Let n(o) = 2*o**2. Let c(r) = 9441*r. Determine n(c(g)). 178264962*g**2 Let t(i) = 11013*i**2. Let j(d) = -2*d. Calculate t(j(v)). 44052*v**2 Let m(r) = -2*r + 131. Let j(y) = -297*y - 299*y + 2*y**2 - 295*y + 891*y. Give j(m(p)). 8*p**2 - 1048*p + 34322 Let d(w) = -2*w. Suppose 2*t + 3*t = -2*j + 78, 5*t - j = 81. Suppose -2*m + 2*p = -10, 0 = 4*m - p - p - t. Let g(r) = -4*r + r - m*r. What is d(g(y))? 12*y Let a(
{ "pile_set_name": "DM Mathematics" }